Last updated: 2021-02-09

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: b18769b

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 b18769b. 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 f71ae34 Donghe-Zhu 2021-02-09 Build site.
html c011832 Donghe-Zhu 2021-02-09 Build site.
html a145fa7 Donghe-Zhu 2021-02-09 Build site.
Rmd 37a41c8 Donghe-Zhu 2021-02-09 local rebuild
html c344e42 Donghe-Zhu 2021-02-08 Build site.
Rmd 8f5fa79 Donghe-Zhu 2021-02-08 local rebuild
html 2f095d7 Donghe-Zhu 2021-02-07 Build site.
html 2305044 Donghe-Zhu 2021-02-07 Build site.
Rmd c3638c1 Donghe-Zhu 2021-02-07 local rebuild
html 1fad5f1 Donghe-Zhu 2021-02-07 Build site.
html ca03c39 Donghe-Zhu 2021-02-07 Build site.
html e2ffc14 Donghe-Zhu 2021-02-05 Build site.
html cd7c52c Donghe-Zhu 2021-02-04 Build site.
Rmd bcf91a8 jens-daniel-mueller 2021-02-04 separate MLR tables, added plot residuals vs location
html bcf84f4 Donghe-Zhu 2021-02-02 Build site.
html a518739 Donghe-Zhu 2021-02-01 Build site.
html 61666de Donghe-Zhu 2021-01-31 Build site.
html 865b582 Donghe-Zhu 2021-01-31 Build site.
html 3e68089 Donghe-Zhu 2021-01-31 Build site.
html ecf335c Donghe-Zhu 2021-01-31 Build site.
html a618965 Donghe-Zhu 2021-01-31 Build site.
html 59e006e Donghe-Zhu 2021-01-31 Build site.
html a1c8f87 Donghe-Zhu 2021-01-31 Build site.
html ae5c18f Donghe-Zhu 2021-01-31 Build site.
html b50fe52 Donghe-Zhu 2021-01-31 Build site.
Rmd ac99ae5 jens-daniel-mueller 2021-01-29 code review
html ac99ae5 jens-daniel-mueller 2021-01-29 code review
html b5bdcaf Donghe-Zhu 2021-01-29 Build site.
Rmd b234505 Donghe-Zhu 2021-01-29 MLR approach across all depth
html 442010d Donghe-Zhu 2021-01-29 Build site.
Rmd e67e7dd Donghe-Zhu 2021-01-29 surface equilibrium approach across all latitudes irrespective of gamma
html 372adf5 Donghe-Zhu 2021-01-29 Build site.
html af8788e Donghe-Zhu 2021-01-29 Build site.
html 21c91c9 Donghe-Zhu 2021-01-29 Build site.
html eded038 Donghe-Zhu 2021-01-29 Build site.
html 541d4dd Donghe-Zhu 2021-01-29 Build site.
html 6a75576 Donghe-Zhu 2021-01-28 Build site.
html 16fba40 Donghe-Zhu 2021-01-28 Build site.
Rmd aecf0c6 Donghe-Zhu 2021-01-28 diagnostic ploting
Rmd a02684e Donghe-Zhu 2021-01-28 error
Rmd 4584be9 Donghe-Zhu 2021-01-28 latest
html 12bc567 Donghe-Zhu 2021-01-27 Build site.
html ceed31b Donghe-Zhu 2021-01-27 Build site.
html 342402d Donghe-Zhu 2021-01-27 Build site.
html 5bad5c2 Donghe-Zhu 2021-01-27 Build site.
Rmd c2c9529 Donghe-Zhu 2021-01-27 random subsetting based on lat
html 61efb56 Donghe-Zhu 2021-01-25 Build site.
html 48f638e Donghe-Zhu 2021-01-25 Build site.
html c1cec47 Donghe-Zhu 2021-01-25 Build site.
html 05ffb0c Donghe-Zhu 2021-01-25 Build site.
html 8b97165 Donghe-Zhu 2021-01-25 Build site.
html c569946 Donghe-Zhu 2021-01-24 Build site.
html a2f0d56 Donghe-Zhu 2021-01-23 Build site.
html 28509fc Donghe-Zhu 2021-01-23 Build site.
html 4c28e4a Donghe-Zhu 2021-01-22 Build site.
html 24cc264 jens-daniel-mueller 2021-01-22 cleaned /docs before creating copies
html 88eb28f Donghe-Zhu 2021-01-21 Build site.
html 2679490 Donghe-Zhu 2021-01-21 Build site.
html 7891955 Donghe-Zhu 2021-01-21 Build site.
html d4cf1cb Donghe-Zhu 2021-01-21 Build site.
Rmd 167eeec Donghe-Zhu 2021-01-21 surface DIC calculation with atmospheric equilibrium option
html 1f3e5b6 jens-daniel-mueller 2021-01-20 Build site.
html 0e7bdf1 jens-daniel-mueller 2021-01-15 cleaning template repository
html 73cbef3 jens-daniel-mueller 2021-01-15 Build site.
html 4571843 jens-daniel-mueller 2021-01-14 revision and html deleted for template copying
html 23151cd jens-daniel-mueller 2021-01-14 Build site.
html b3564aa jens-daniel-mueller 2021-01-14 Build site.
html 8d032c3 jens-daniel-mueller 2021-01-14 Build site.
html 022871c Donghe-Zhu 2021-01-13 Build site.
Rmd d44f36f Donghe-Zhu 2021-01-13 reorder analysis final
html 17dee1d jens-daniel-mueller 2021-01-13 Build site.
Rmd 9e04fd7 jens-daniel-mueller 2021-01-13 local rebuild after revision
html a076226 Donghe-Zhu 2021-01-11 Build site.
Rmd 52eff18 Donghe-Zhu 2021-01-09 Implemet model_run and subsetting
html 7cdea0c jens-daniel-mueller 2021-01-06 Build site.
Rmd b5934dd jens-daniel-mueller 2021-01-06 local rebuild after revision
html fa85b93 jens-daniel-mueller 2021-01-06 Build site.
html e5cb81a Donghe-Zhu 2021-01-05 Build site.
Rmd 608cc45 Donghe-Zhu 2021-01-05 modification of analysis
html a499f10 Donghe-Zhu 2021-01-05 Build site.
Rmd 715bdb4 Donghe-Zhu 2021-01-02 model modification
html fb8a752 Donghe-Zhu 2020-12-23 Build site.
Rmd 82e3c9c Donghe-Zhu 2020-12-23 first build after creating model template
html 8fae0b2 Donghe-Zhu 2020-12-21 Build site.
Rmd 00a1322 Donghe-Zhu 2020-12-21 first build after creating model template
Rmd d73ae35 Donghe-Zhu 2020-12-21 first version with lm error
html c8b76b3 jens-daniel-mueller 2020-12-19 Build site.
Rmd b5fedce jens-daniel-mueller 2020-12-19 first build after creating model template
Rmd 8e8abf5 Jens Müller 2020-12-18 Initial commit

1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

  • sal, temp, 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)[14]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      if (nrow(GLODAP_basin_era_slab) > 2) {
        for (i_predictors in unique(lm_all$predictors)) {
          # i_predictors <- unique(lm_all$predictors)[1]
          
          # extract one model definition
          i_lm <- lm_all %>%
            filter(predictors == i_predictors) %>%
            select(lm_coeff) %>%
            pull()
          
          # extract number of predictors
          i_n_predictors <- lm_all %>%
            filter(predictors == i_predictors) %>%
            select(n) %>%
            pull()
          
          # fit model
          if (params_local$MLR_type == "rlm") {
          i_lm_fit <- MASS::rlm(as.formula(i_lm),
                          data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
          i_lm_fit <- lm(as.formula(i_lm),
                          data = GLODAP_basin_era_slab)
        }
          
          # find max predictor correlation
          i_cor_max <- GLODAP_basin_era_slab %>%
            select(!!!syms(str_split(i_predictors, " ",
                                            simplify = TRUE))) %>%
            correlate(quiet = TRUE) %>%
            select(-term) %>%
            abs() %>%
            max(na.rm = TRUE)
          
          # calculate root mean squared error
          i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                           length(i_lm_fit$residuals))
          
          # calculate maximum residual
          i_resid_max <- max(abs(i_lm_fit$residuals))
          
          # calculate Akaike information criterion aic
          i_aic <- AIC(i_lm_fit)
          
          # collect model coefficients and diagnostics
          coefficients <- tidy(i_lm_fit)
          
          coefficients <- coefficients %>%
            mutate(
              basin = i_basin,
              era = i_era,
              gamma_slab = i_gamma_slab,
              model = i_lm,
              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)
}

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.0628097 479.6340 5.053456 1982-1999 –> 2000-2012 2.4054230 1204.4735
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0644073 482.1087 4.907579 1982-1999 –> 2000-2012 2.4061269 1208.6712
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0598903 480.7649 4.805543 1982-1999 –> 2000-2012 2.4053489 1208.4850
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 1.0702272 481.8318 5.296840 1982-1999 –> 2000-2012 2.4150643 1207.3597
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0609577 481.0829 4.976150 1982-1999 –> 2000-2012 2.4068037 1208.9228
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.0723469 482.4570 5.356244 1982-1999 –> 2000-2012 2.4176701 1208.1354
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0715452 484.2207 5.173679 1982-1999 –> 2000-2012 2.4150217 1211.3276
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0734808 484.7910 5.241383 1982-1999 –> 2000-2012 2.4173509 1212.0197
Atlantic (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.0744504 483.0763 5.410662 1982-1999 –> 2000-2012 2.4209162 1209.1078
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0757654 485.4628 5.301147 1982-1999 –> 2000-2012 2.4206329 1213.0002
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.2973821 253.8173 4.608623 2000-2012 –> 2013-2019 2.3601918 733.4514
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2229766 247.3126 4.263584 2000-2012 –> 2013-2019 2.2873839 729.4213
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1580804 239.4611 3.584476 2000-2012 –> 2013-2019 2.2179707 720.2260
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.2099084 245.7656 2.742703 2000-2012 –> 2013-2019 2.3030540 736.2929
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 1.3054371 254.7086 4.841796 2000-2012 –> 2013-2019 2.3756643 736.5404
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.3078328 254.9726 4.898229 2000-2012 –> 2013-2019 2.3801796 737.4297
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2336023 248.5583 4.496136 2000-2012 –> 2013-2019 2.3051475 732.7790
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2373033 248.9897 4.569453 2000-2012 –> 2013-2019 2.3107840 733.7807
Atlantic (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.3108475 255.3042 4.968522 2000-2012 –> 2013-2019 2.3852979 738.3805
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2396001 249.2567 4.612824 2000-2012 –> 2013-2019 2.3153655 734.7196
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5657348 5642.1257 13.937059 1982-1999 –> 2000-2012 7.0262563 13770.2172
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.4540186 5573.5337 16.306511 1982-1999 –> 2000-2012 6.8955266 13682.8210
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3888583 5535.6910 15.397812 1982-1999 –> 2000-2012 6.7645364 13588.0719
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.3300641 5499.0777 15.907565 1982-1999 –> 2000-2012 6.6786619 13526.8924
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate 4.0014656 5881.3136 18.388149 1982-1999 –> 2000-2012 7.9767492 14430.3692
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6229335 5675.4176 14.749096 1982-1999 –> 2000-2012 7.1683037 13877.3901
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6304974 5679.7808 14.869165 1982-1999 –> 2000-2012 7.1866552 13891.0194
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6617261 5697.6987 15.355786 1982-1999 –> 2000-2012 7.2847282 13965.7354
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6320234 5680.6599 14.908658 1982-1999 –> 2000-2012 7.1925084 13895.6076
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6929513 5713.4625 16.541876 1982-1999 –> 2000-2012 7.5298977 14154.4894
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6178794 3081.2733 11.611451 2000-2012 –> 2013-2019 7.1836141 8723.3991
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.3432767 2989.7592 10.553294 2000-2012 –> 2013-2019 6.7972953 8563.2928
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3072270 2979.4651 10.284243 2000-2012 –> 2013-2019 6.6960853 8515.1561
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.1861071 2937.1553 9.715948 2000-2012 –> 2013-2019 6.5161711 8436.2330
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6549746 3092.8414 10.789072 2000-2012 –> 2013-2019 7.2779081 8768.2590
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6596420 3094.2886 10.785663 2000-2012 –> 2013-2019 7.2901394 8774.0693
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6351850 3086.6847 10.821657 2000-2012 –> 2013-2019 7.2969111 8784.3834
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate 3.8260184 3142.7055 11.302844 2000-2012 –> 2013-2019 7.8130487 9016.4585
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6593980 3094.2130 10.788645 2000-2012 –> 2013-2019 7.2914215 8774.8729
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6630695 3093.3501 10.665754 2000-2012 –> 2013-2019 7.3560208 8806.8127
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3556795 7359.0823 11.346795 1982-1999 –> 2000-2012 6.4644380 17057.7789
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.3352625 7342.0309 10.311955 1982-1999 –> 2000-2012 6.4852898 17090.7615
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2771989 7294.9617 10.992459 1982-1999 –> 2000-2012 6.3435754 16943.5785
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2920804 7307.6204 11.006565 1982-1999 –> 2000-2012 6.3817908 16984.9986
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3096264 7322.4721 11.080949 1982-1999 –> 2000-2012 6.4220138 17027.5948
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3142915 7326.4077 11.095459 1982-1999 –> 2000-2012 6.4337394 17040.1274
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3342033 7343.1434 10.208056 1982-1999 –> 2000-2012 6.4922481 17103.5183
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.4180217 7410.5133 11.510810 1982-1999 –> 2000-2012 6.5911126 17186.9212
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2296698 7254.1437 10.368198 1982-1999 –> 2000-2012 6.2181883 16805.1834
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.4502926 7436.7688 11.602247 1982-1999 –> 2000-2012 6.6571137 17253.2944
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.4371748 3493.5080 11.658163 2000-2012 –> 2013-2019 6.7928543 10852.5903
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.3884006 3474.7571 10.458048 2000-2012 –> 2013-2019 6.7236631 10816.7879
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3486164 3461.2613 10.953311 2000-2012 –> 2013-2019 6.6258153 10756.2230
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3598703 3465.6633 11.003338 2000-2012 –> 2013-2019 6.6519508 10773.2836
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3758874 3471.9030 11.148624 2000-2012 –> 2013-2019 6.6855139 10794.3751
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3798410 3473.4386 11.196993 2000-2012 –> 2013-2019 6.6941325 10799.8462
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4153100 3487.1353 10.085959 2000-2012 –> 2013-2019 6.7495133 10830.2787
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.4969047 3516.1116 11.727276 2000-2012 –> 2013-2019 6.9149265 10926.6249
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3275495 3452.9812 11.308379 2000-2012 –> 2013-2019 6.5572193 10707.1249
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.5282029 3527.8021 11.856579 2000-2012 –> 2013-2019 6.9784955 10964.5709
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.1104617 10399.3940 15.848591 1982-1999 –> 2000-2012 3.7883305 22572.3813
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.1957488 10589.3942 22.672465 1982-1999 –> 2000-2012 4.1536647 23731.7383
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0216668 10195.2408 15.379384 1982-1999 –> 2000-2012 3.6795138 22294.8387
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0887732 10351.8522 15.539894 1982-1999 –> 2000-2012 3.8170792 22712.8360
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.1617515 10516.5556 24.893115 1982-1999 –> 2000-2012 3.9306715 23023.4081
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.1902924 10579.4613 28.224854 1982-1999 –> 2000-2012 3.9738534 23138.0783
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.2303497 10666.3807 19.203115 1982-1999 –> 2000-2012 4.0323813 23289.6992
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.2227633 10648.0398 16.528295 1982-1999 –> 2000-2012 4.0170091 23242.1661
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.3000998 10812.0695 21.290449 1982-1999 –> 2000-2012 4.1464109 23585.8345
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.3307443 10875.5451 24.587533 1982-1999 –> 2000-2012 4.1962781 23714.3560
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6930416 6098.6744 30.413142 2000-2012 –> 2013-2019 4.8035034 16498.0684
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7206331 6126.4228 25.998195 2000-2012 –> 2013-2019 5.1908121 17282.6298
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.6215587 6030.7194 27.193171 2000-2012 –> 2013-2019 4.8173075 16620.1136
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5981999 6010.1112 29.282694 2000-2012 –> 2013-2019 4.6198667 16205.3519
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6250798 6036.1099 28.974702 2000-2012 –> 2013-2019 4.7138531 16387.9621
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6567321 6066.3854 29.103863 2000-2012 –> 2013-2019 4.8184836 16582.9410
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6669731 6076.1037 29.108109 2000-2012 –> 2013-2019 4.8572655 16655.5649
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.7419687 6146.1548 28.112285 2000-2012 –> 2013-2019 4.9723184 16812.5355
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.8197585 6214.8197 31.219502 2000-2012 –> 2013-2019 5.0425218 16862.8596
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.8657012 6255.6445 31.481646 2000-2012 –> 2013-2019 5.1658010 17067.7140
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.0992080 8789.9455 9.259301 1982-1999 –> 2000-2012 4.3586504 20470.1890
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9230006 8431.8163 9.462751 1982-1999 –> 2000-2012 3.6466323 18696.5452
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9013183 8387.7562 10.211938 1982-1999 –> 2000-2012 3.4923661 18236.5123
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.1429650 8871.7457 9.705071 1982-1999 –> 2000-2012 4.4273245 20607.2620
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.2123058 9001.0999 10.268937 1982-1999 –> 2000-2012 4.5999624 20967.5681
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9084971 8403.0642 9.728383 1982-1999 –> 2000-2012 3.4750614 18170.8380
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9286840 8445.8038 8.920802 1982-1999 –> 2000-2012 3.5205826 18297.3519
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0452167 8684.1046 9.538542 1982-1999 –> 2000-2012 3.8738524 19259.6451
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9332444 8455.3971 8.732352 1982-1999 –> 2000-2012 3.5378051 18348.3170
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0781157 8748.9252 15.261223 1982-1999 –> 2000-2012 3.8211291 19074.0460
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2515405 5108.5835 12.431034 2000-2012 –> 2013-2019 4.3507485 13898.5290
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.3140451 5169.1250 13.924952 2000-2012 –> 2013-2019 4.2370457 13600.9414
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3106768 5167.7981 14.049483 2000-2012 –> 2013-2019 4.2119951 13555.5543
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.3541457 5208.3659 15.336730 2000-2012 –> 2013-2019 4.4971107 14080.1116
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.4212320 5272.5431 16.283149 2000-2012 –> 2013-2019 4.6335378 14273.6430
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.3720019 5225.6247 15.499288 2000-2012 –> 2013-2019 4.5698488 14200.0894
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3034865 5160.6797 14.243462 2000-2012 –> 2013-2019 4.2119836 13563.7439
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3236778 5180.6129 14.241721 2000-2012 –> 2013-2019 4.2523617 13626.4167
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4036273 5257.8756 15.426700 2000-2012 –> 2013-2019 4.4488440 13941.9802
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3270126 5183.8884 14.234890 2000-2012 –> 2013-2019 4.2602570 13639.2856
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2.5371291 9529.3854 14.196070 1982-1999 –> 2000-2012 5.1613195 23262.0257
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.4667055 9417.3790 15.643950 1982-1999 –> 2000-2012 5.0266220 23009.2833
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7376918 9839.5174 23.329128 1982-1999 –> 2000-2012 4.9919125 22699.4293
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.1772294 8911.8163 14.005067 1982-1999 –> 2000-2012 3.8804510 20158.4204
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7618030 9875.0302 23.809342 1982-1999 –> 2000-2012 5.0774111 22889.5943
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8377045 9984.8327 24.663488 1982-1999 –> 2000-2012 5.2496820 23234.0956
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.8695598 10030.0435 24.978633 1982-1999 –> 2000-2012 5.3853031 23521.7569
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8406665 9989.0579 24.682401 1982-1999 –> 2000-2012 5.2623146 23261.3526
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.4150318 9329.6365 12.122130 1982-1999 –> 2000-2012 4.1386052 20642.6115
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.2779824 9095.0262 18.603056 1982-1999 –> 2000-2012 3.9960605 20391.6196
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.0718356 5648.4123 24.506118 2000-2012 –> 2013-2019 5.8791407 15587.6246
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 3.0502743 5632.7892 18.553136 2000-2012 –> 2013-2019 5.5874034 15162.1746
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.8312514 5469.5199 20.752785 2000-2012 –> 2013-2019 5.2979568 14886.8990
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.6979868 6059.8807 29.335129 2000-2012 –> 2013-2019 6.5175399 16016.7243
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6521863 6034.2387 28.438075 2000-2012 –> 2013-2019 6.3898781 15873.7561
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8661955 5496.7276 16.291574 2000-2012 –> 2013-2019 5.0434249 14408.5439
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6758929 6048.5893 28.898345 2000-2012 –> 2013-2019 6.4376959 15923.6195
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.7483094 6089.8599 29.734298 2000-2012 –> 2013-2019 6.5896227 16077.8398
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 3.1230327 5685.0742 12.501051 2000-2012 –> 2013-2019 5.5380645 15014.7106
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.8387055 5475.3518 21.535958 2000-2012 –> 2013-2019 5.1166879 14570.3780
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.7937812 13731.0437 14.676257 1982-1999 –> 2000-2012 5.1086021 30607.8106
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.4953556 13097.5377 14.354381 1982-1999 –> 2000-2012 4.8858908 30214.6618
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4493034 12995.0743 15.497549 1982-1999 –> 2000-2012 4.6318007 29434.2555
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.6750873 13489.5785 15.959832 1982-1999 –> 2000-2012 4.9551747 30255.4400
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 2.7957053 13734.9048 14.536322 1982-1999 –> 2000-2012 5.0803247 30513.5951
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.4353310 12962.9910 15.317614 1982-1999 –> 2000-2012 4.5629592 29212.0226
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.4493535 12995.1889 15.090077 1982-1999 –> 2000-2012 4.5712093 29223.9317
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4542733 13006.4419 15.156662 1982-1999 –> 2000-2012 4.5851778 29266.9645
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.4474938 12990.9293 15.070165 1982-1999 –> 2000-2012 4.5692999 29219.4973
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.4430244 12978.6793 15.024978 1982-1999 –> 2000-2012 4.5575576 29179.6049
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.2803935 7912.9129 17.757190 2000-2012 –> 2013-2019 6.1676576 21830.5350
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.9128713 7550.8758 17.283210 2000-2012 –> 2013-2019 5.4082269 20648.4135
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.9232138 7563.6152 17.115533 2000-2012 –> 2013-2019 5.3725172 20558.6894
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.1741378 7813.1430 28.207618 2000-2012 –> 2013-2019 5.9804370 21571.2581
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.2764556 7909.2733 18.273791 2000-2012 –> 2013-2019 5.9515429 21398.8518
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9092455 7549.1019 17.359917 2000-2012 –> 2013-2019 5.3445765 20512.0929
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8944688 7533.6727 18.374916 2000-2012 –> 2013-2019 5.3438224 20528.8616
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.9134842 7553.5133 18.488142 2000-2012 –> 2013-2019 5.3677575 20559.9552
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8926678 7531.7867 18.288227 2000-2012 –> 2013-2019 5.3401616 20522.7160
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.9939179 7634.0298 20.030949 2000-2012 –> 2013-2019 5.4369423 20612.7091
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.7920494 4160.7623 12.957057 1982-1999 –> 2000-2012 3.6322967 9528.8959
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6118786 3943.2142 13.537626 1982-1999 –> 2000-2012 3.2436562 8995.9406
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6669446 4012.8168 17.911488 1982-1999 –> 2000-2012 3.2999183 9067.4778
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.8023064 4174.5878 14.671638 1982-1999 –> 2000-2012 3.6513241 9557.2736
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.7419829 4104.0505 11.976219 1982-1999 –> 2000-2012 3.3510056 9119.7035
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6364741 3974.5918 13.611166 1982-1999 –> 2000-2012 3.2976258 9074.4190
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6781628 4026.7142 13.768769 1982-1999 –> 2000-2012 3.3845388 9197.4536
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6705899 4017.3430 13.704754 1982-1999 –> 2000-2012 3.3699427 9177.1940
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6822647 4031.7727 13.780111 1982-1999 –> 2000-2012 3.3921100 9207.8741
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8121544 4183.8786 13.804019 1982-1999 –> 2000-2012 3.6289225 9518.1125
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.8870526 2119.3575 12.373278 2000-2012 –> 2013-2019 3.6791019 6280.1198
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7839714 2063.7229 12.760439 2000-2012 –> 2013-2019 3.3958501 6006.9370
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.9272457 2142.9812 17.801648 2000-2012 –> 2013-2019 3.5941903 6155.7980
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.9776114 2169.4498 13.739116 2000-2012 –> 2013-2019 3.7799178 6344.0376
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.9202388 2139.2442 11.194332 2000-2012 –> 2013-2019 3.6622218 6243.2947
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8110080 2079.1555 12.807027 2000-2012 –> 2013-2019 3.4474821 6053.7473
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8575897 2105.2120 12.928793 2000-2012 –> 2013-2019 3.5357525 6131.9262
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8523566 2102.3175 12.880399 2000-2012 –> 2013-2019 3.5229465 6119.6605
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8607466 2106.9542 12.938214 2000-2012 –> 2013-2019 3.5430113 6138.7268
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.9261575 2140.4017 13.066322 2000-2012 –> 2013-2019 3.7383119 6324.2803
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 3.5006397 5262.9244 42.539443 1982-1999 –> 2000-2012 6.5402458 12034.8652
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.5441744 5289.2233 44.624384 1982-1999 –> 2000-2012 6.5738213 12054.3950
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.9115991 5483.1515 78.875656 1982-1999 –> 2000-2012 6.8044379 12124.8560
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1164346 5038.3649 29.405616 1982-1999 –> 2000-2012 6.0226983 11694.4408
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate 3.7974787 5422.9404 59.418929 1982-1999 –> 2000-2012 6.8455152 12202.2817
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.1974925 5086.8465 24.495177 1982-1999 –> 2000-2012 6.2546016 11876.1294
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate_star 3.9831909 5516.8088 68.457970 1982-1999 –> 2000-2012 7.0435220 12306.9063
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 3.8666968 5460.4527 62.994476 1982-1999 –> 2000-2012 6.9244319 12250.2827
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1958738 5087.8510 24.481313 1982-1999 –> 2000-2012 6.2148619 11845.6055
Atlantic (27.85,27.95] cstar_tref ~ temp + phosphate + phosphate_star 3.9767228 5513.6137 67.932893 1982-1999 –> 2000-2012 7.0404660 12306.6887
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 3.8711685 3165.0992 24.776393 2000-2012 –> 2013-2019 7.3718082 8428.0237
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.9279312 3183.6645 25.275614 2000-2012 –> 2013-2019 7.4721056 8472.8878
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.5357244 3063.9530 29.740322 2000-2012 –> 2013-2019 7.4473235 8547.1045
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5265954 3063.0109 26.161734 2000-2012 –> 2013-2019 7.7784041 8712.1233
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 3.5785323 3077.6483 30.393652 2000-2012 –> 2013-2019 7.8109681 8715.7823
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.5196772 3060.7763 26.859344 2000-2012 –> 2013-2019 6.6361118 8099.1412
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate 3.9542943 3189.2769 25.067091 2000-2012 –> 2013-2019 7.7517730 8612.2173
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.9012809 3175.9171 24.356333 2000-2012 –> 2013-2019 7.0987734 8262.7636
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 3.9968934 3203.4709 25.628845 2000-2012 –> 2013-2019 7.8635902 8663.9236
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9066813 3179.4913 24.423422 2000-2012 –> 2013-2019 7.1025551 8267.3422
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.9341175 7274.3906 30.809100 1982-1999 –> 2000-2012 10.0868455 17540.3646
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.3764772 6985.5998 28.542620 1982-1999 –> 2000-2012 8.7280074 16685.0901
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 4.9530746 7281.6245 30.776786 1982-1999 –> 2000-2012 10.1515258 17575.2117
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.9060916 7260.6741 30.427206 1982-1999 –> 2000-2012 10.0363469 17511.9970
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.8860491 7250.8167 30.138247 1982-1999 –> 2000-2012 9.9954284 17488.4719
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.8961620 7255.7955 30.280477 1982-1999 –> 2000-2012 10.0143629 17499.2331
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 4.8722222 7241.9927 26.580545 1982-1999 –> 2000-2012 9.9103665 17430.5855
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.5570626 7080.9652 29.109769 1982-1999 –> 2000-2012 9.2402310 17024.6510
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1819949 6876.1424 27.866527 1982-1999 –> 2000-2012 7.9613912 16103.1239
Atlantic (27.95,28.05] cstar_tref ~ temp + silicate + phosphate_star 4.9404685 7273.4880 27.080226 1982-1999 –> 2000-2012 10.1192592 17552.3739
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5508601 3922.4274 28.931462 2000-2012 –> 2013-2019 9.4849776 11196.8179
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.8511761 3700.0664 27.131518 2000-2012 –> 2013-2019 8.2276533 10685.6662
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 4.6012991 3935.1092 28.438754 2000-2012 –> 2013-2019 9.5678532 11223.2781
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 4.5990723 3934.4645 28.162940 2000-2012 –> 2013-2019 9.5521469 11216.0889
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5329151 3917.1646 28.592727 2000-2012 –> 2013-2019 9.4390067 11177.8387
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.5219203 3913.9299 28.350588 2000-2012 –> 2013-2019 9.4079694 11164.7466
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 4.6027481 3935.5286 28.355925 2000-2012 –> 2013-2019 9.5655079 11221.8571
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.5281382 3915.7602 28.476842 2000-2012 –> 2013-2019 9.4243002 11171.5557
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.2146461 3818.1956 27.510844 2000-2012 –> 2013-2019 8.7717087 10899.1608
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.7323581 3658.3237 26.900253 2000-2012 –> 2013-2019 7.9143529 10534.4661
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.0880999 2429.4214 10.371093 1982-1999 –> 2000-2012 1.9827985 5255.5276
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0632933 2394.3378 9.663066 1982-1999 –> 2000-2012 1.9578693 5222.1489
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0598961 2389.1919 9.050471 1982-1999 –> 2000-2012 1.9644414 5240.8529
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 1.0970529 2442.5981 10.164745 1982-1999 –> 2000-2012 1.9987204 5285.4013
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0383151 2356.1128 11.194094 1982-1999 –> 2000-2012 1.9138130 5137.5331
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0658106 2398.1400 9.372662 1982-1999 –> 2000-2012 1.9661133 5239.6837
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0711903 2406.2360 9.216741 1982-1999 –> 2000-2012 1.9797754 5267.4866
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0840228 2425.3848 9.263196 1982-1999 –> 2000-2012 2.0030536 5311.2352
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0687535 2402.5739 9.310248 1982-1999 –> 2000-2012 1.9737069 5255.2056
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0823291 2422.8705 14.554117 1982-1999 –> 2000-2012 1.9263518 5125.4991
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.1447541 1360.9834 11.258827 2000-2012 –> 2013-2019 2.2328540 3790.4048
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0843201 1315.9060 10.009746 2000-2012 –> 2013-2019 2.1476134 3710.2437
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0827189 1314.6233 9.713398 2000-2012 –> 2013-2019 2.1426150 3703.8152
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.1285995 1350.6471 9.736885 2000-2012 –> 2013-2019 2.2383077 3813.6883
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0640766 1299.5479 12.457003 2000-2012 –> 2013-2019 2.1023917 3655.6606
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0880394 1318.8782 9.711942 2000-2012 –> 2013-2019 2.1538500 3717.0182
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0927346 1322.6158 9.553389 2000-2012 –> 2013-2019 2.1639249 3728.8519
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1064046 1333.4071 9.508365 2000-2012 –> 2013-2019 2.1904274 3758.7919
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0901557 1320.5649 9.650205 2000-2012 –> 2013-2019 2.1589092 3723.1388
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1418966 1360.8141 15.897845 2000-2012 –> 2013-2019 2.2242257 3783.6845
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8121374 2280.7165 10.079442 1982-1999 –> 2000-2012 1.4462525 4789.9581
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8201305 2299.0506 9.981431 1982-1999 –> 2000-2012 1.4665730 4858.1597
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 0.8315187 2322.8661 10.163347 1982-1999 –> 2000-2012 1.5068934 4993.3740
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8144044 2285.9346 9.906513 1982-1999 –> 2000-2012 1.4538001 4816.6552
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8187658 2295.9330 9.817950 1982-1999 –> 2000-2012 1.4655637 4856.4654
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 0.8206352 2298.2023 9.632298 1982-1999 –> 2000-2012 1.4673628 4856.4533
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.8271957 2315.1084 10.270308 1982-1999 –> 2000-2012 1.4728179 4870.9283
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.8323402 2324.7146 10.274154 1982-1999 –> 2000-2012 1.5080657 4996.5675
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8167498 2291.3182 9.875417 1982-1999 –> 2000-2012 1.4604758 4839.5201
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8382648 2339.9923 13.131813 1982-1999 –> 2000-2012 1.4337148 4686.2892
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.9348553 1355.4656 10.978145 2000-2012 –> 2013-2019 1.7715357 3689.9163
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.9436760 1366.8004 11.255873 2000-2012 –> 2013-2019 1.7558134 3647.5168
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.9428676 1365.9484 10.502421 2000-2012 –> 2013-2019 1.7629980 3664.9990
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 0.9343390 1354.9165 10.594187 2000-2012 –> 2013-2019 1.7673337 3681.1025
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 0.9389331 1359.7919 10.400386 2000-2012 –> 2013-2019 1.7704518 3682.6581
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9458960 1369.1360 10.985499 2000-2012 –> 2013-2019 1.7603004 3655.0706
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.9524742 1376.0248 10.890545 2000-2012 –> 2013-2019 1.7712400 3671.9578
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.9372237 1357.9806 10.561505 2000-2012 –> 2013-2019 1.7695638 3682.6951
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9488535 1372.2391 10.959164 2000-2012 –> 2013-2019 1.7656034 3663.5572
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.9418085 1364.8313 15.547220 2000-2012 –> 2013-2019 1.7800733 3704.8237
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.5649608 2623.6542 2.532546 1982-1999 –> 2000-2012 1.1769169 6762.7034
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.5959079 2787.9099 2.311657 1982-1999 –> 2000-2012 1.1407283 6410.0818
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 0.6393308 3004.5441 2.431714 1982-1999 –> 2000-2012 1.2541644 7164.4596
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.5497810 2541.7664 2.219868 1982-1999 –> 2000-2012 1.0933341 6155.5799
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.5834450 2722.8110 2.059910 1982-1999 –> 2000-2012 1.1279476 6342.3882
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.5834225 2724.6925 2.103344 1982-1999 –> 2000-2012 1.1237266 6311.8389
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.5720085 2663.8380 2.229379 1982-1999 –> 2000-2012 1.1284044 6381.5250
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.6047292 2833.1694 2.327844 1982-1999 –> 2000-2012 1.1864006 6746.4604
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.5742423 2673.8428 2.320468 1982-1999 –> 2000-2012 1.1420875 6480.1296
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5613438 2605.8720 2.473298 1982-1999 –> 2000-2012 1.1369145 6474.2656
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.8242031 2019.5332 10.166035 2000-2012 –> 2013-2019 1.4201111 4807.4431
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 0.9437486 2241.3886 12.660243 2000-2012 –> 2013-2019 1.5830794 5245.9327
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.8939871 2154.6606 13.576858 2000-2012 –> 2013-2019 1.4437682 4696.4270
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.8770033 2121.2428 12.249187 2000-2012 –> 2013-2019 1.4604483 4844.0538
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8259288 2024.9592 10.354785 2000-2012 –> 2013-2019 1.4093513 4749.6517
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.8978369 2161.6991 13.022690 2000-2012 –> 2013-2019 1.4698453 4825.5372
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0188507 2368.8113 15.646762 2000-2012 –> 2013-2019 1.6505439 5338.3395
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.0350529 2392.6546 16.331007 2000-2012 –> 2013-2019 1.6397822 5225.8240
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 1.0462645 2410.3018 17.287240 2000-2012 –> 2013-2019 1.6205068 5084.1447
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.1227857 2527.9227 19.591053 2000-2012 –> 2013-2019 1.6841295 5133.7947
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.5535448 4469.0545 4.077227 1982-1999 –> 2000-2012 1.0599142 9961.8288
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.3638943 2207.7400 2.088580 1982-1999 –> 2000-2012 0.6712492 3992.9814
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.3585293 2129.7411 2.061079 1982-1999 –> 2000-2012 0.6654086 3905.4894
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.3636223 2205.7123 2.088076 1982-1999 –> 2000-2012 0.6755391 4102.3044
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.3525525 2041.1970 2.312929 1982-1999 –> 2000-2012 0.6575926 3774.3305
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.3669781 2255.1901 2.197272 1982-1999 –> 2000-2012 0.6872366 4347.6654
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3595015 2146.3254 2.472978 1982-1999 –> 2000-2012 0.6758820 4150.3785
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.3668155 2254.8028 2.267622 1982-1999 –> 2000-2012 0.6883296 4378.3192
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.5820049 4741.0879 3.286788 1982-1999 –> 2000-2012 1.0969562 10360.5958
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5535749 4471.3472 4.077349 1982-1999 –> 2000-2012 1.0514630 9840.7564
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.7734428 3630.5769 13.506412 2000-2012 –> 2013-2019 1.3269876 8099.6314
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.4226831 1747.0075 2.575208 2000-2012 –> 2013-2019 0.7865774 3954.7475
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.4025397 1596.9543 2.508126 2000-2012 –> 2013-2019 0.7610690 3726.6955
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.4149695 1691.6555 2.567138 2000-2012 –> 2013-2019 0.7785919 3897.3678
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.3973808 1558.7876 2.912330 2000-2012 –> 2013-2019 0.7499332 3599.9847
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 0.6445405 3062.8508 2.617809 2000-2012 –> 2013-2019 1.2693051 8183.7853
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.4244365 1761.8985 2.683325 2000-2012 –> 2013-2019 0.7914145 4017.0886
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3901999 1502.0015 3.013896 2000-2012 –> 2013-2019 0.7497014 3648.3268
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.4163202 1703.7742 2.863620 2000-2012 –> 2013-2019 0.7831356 3958.5770
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.6405187 3045.3593 2.588752 2000-2012 –> 2013-2019 1.2225236 7786.4472
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.2384311 34380.4809 29.803543 1982-1999 –> 2000-2012 12.7717881 81806.7146
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.1976837 34313.1754 29.357586 1982-1999 –> 2000-2012 12.6833302 81635.9684
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6.3812893 34621.9368 51.789696 1982-1999 –> 2000-2012 13.0212454 82283.0000
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.3702462 34601.6187 30.355690 1982-1999 –> 2000-2012 13.0261307 82295.1507
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6.2348920 34376.4794 29.604725 1982-1999 –> 2000-2012 12.7666595 81801.2129
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 6.4410691 34718.5514 30.470938 1982-1999 –> 2000-2012 13.1585211 82544.5435
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.3258703 34529.6872 29.968100 1982-1999 –> 2000-2012 12.9253751 82102.8415
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.3917454 34639.2520 30.119821 1982-1999 –> 2000-2012 13.0463498 82332.0170
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 6.4416539 34719.5115 30.529114 1982-1999 –> 2000-2012 13.1640755 82556.1426
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.3973538 34648.5277 30.196033 1982-1999 –> 2000-2012 13.0618553 82362.6726
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.9559900 18053.1882 24.940745 2000-2012 –> 2013-2019 12.1944211 52433.6691
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.8848843 17987.5458 24.166726 2000-2012 –> 2013-2019 12.0825680 52300.7212
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.9793755 18077.2582 44.014655 2000-2012 –> 2013-2019 12.3606648 52699.1950
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.0773527 18166.7955 25.905728 2000-2012 –> 2013-2019 12.4475990 52768.4143
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.9537018 18053.0240 24.787992 2000-2012 –> 2013-2019 12.1885938 52429.5034
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.0017976 18098.3383 25.155705 2000-2012 –> 2013-2019 12.3276679 52628.0255
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.0626413 18155.1456 25.394434 2000-2012 –> 2013-2019 12.4543867 52794.3976
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.9390190 18037.1174 27.880719 2000-2012 –> 2013-2019 12.3326354 52677.4648
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.9375920 18037.7640 27.623702 2000-2012 –> 2013-2019 12.3281028 52674.9730
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.0630213 18155.4986 25.450167 2000-2012 –> 2013-2019 12.4603751 52804.0263
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.9056204 33264.9870 43.570242 1982-1999 –> 2000-2012 9.5592684 78879.4306
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5758128 32497.9379 46.823171 1982-1999 –> 2000-2012 8.8422061 76774.3037
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.9688170 33408.4295 60.478294 1982-1999 –> 2000-2012 9.4652611 78494.8344
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6261580 32618.8510 42.582159 1982-1999 –> 2000-2012 8.9386119 77060.8445
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6924205 32776.0023 40.803138 1982-1999 –> 2000-2012 9.0580181 77406.9087
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7001903 32794.2839 41.190821 1982-1999 –> 2000-2012 9.0773446 77465.9670
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.8085049 33046.0384 51.441708 1982-1999 –> 2000-2012 9.2474767 77934.0271
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.9059123 33265.6446 42.228103 1982-1999 –> 2000-2012 9.5338025 78794.4797
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.9106600 33278.3331 43.678472 1982-1999 –> 2000-2012 9.5548374 78863.3554
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.9417978 33346.1784 50.966474 1982-1999 –> 2000-2012 9.5818067 78915.3502
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.8279095 17481.2028 39.832419 2000-2012 –> 2013-2019 9.7335299 50746.1899
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4973292 17069.2562 47.002661 2000-2012 –> 2013-2019 9.0731421 49567.1942
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5791769 17174.5117 40.510703 2000-2012 –> 2013-2019 9.2053348 49793.3627
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6560590 17271.6818 37.074889 2000-2012 –> 2013-2019 9.3484796 50047.6841
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.7101092 17339.0392 36.511220 2000-2012 –> 2013-2019 9.6406560 50662.0313
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6606490 17277.4322 36.889244 2000-2012 –> 2013-2019 9.3608393 50071.7161
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.7439573 17378.8283 35.134508 2000-2012 –> 2013-2019 9.6708613 50691.6533
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.5855635 17182.6456 46.248449 2000-2012 –> 2013-2019 9.3940685 50228.6840
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.8248142 17477.4600 36.423432 2000-2012 –> 2013-2019 9.7307266 50743.1047
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.8346913 17491.3949 40.217270 2000-2012 –> 2013-2019 9.7453513 50769.7280
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.1258611 25787.5064 29.050183 1982-1999 –> 2000-2012 8.2151587 61355.7789
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.2441489 26044.3928 20.397328 1982-1999 –> 2000-2012 8.2330054 61299.9175
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.1059915 25745.6340 35.760976 1982-1999 –> 2000-2012 8.1691863 61235.3743
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1154074 25766.4508 27.773926 1982-1999 –> 2000-2012 8.1328905 61113.9069
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.1605883 25865.6795 30.877479 1982-1999 –> 2000-2012 8.1927624 61259.0393
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.1696044 25883.3521 38.495752 1982-1999 –> 2000-2012 8.1488195 61108.4430
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.0527335 25626.9843 35.027630 1982-1999 –> 2000-2012 8.0073775 60776.1790
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1550347 25853.5407 30.668153 1982-1999 –> 2000-2012 8.1826352 61232.6274
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 4.1858254 25918.6386 31.342305 1982-1999 –> 2000-2012 8.1442884 61077.9723
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.1219658 25778.9221 38.895392 1982-1999 –> 2000-2012 8.2384660 61430.5752
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5502926 14371.6325 36.578015 2000-2012 –> 2013-2019 8.6761537 40159.1389
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5269328 14348.4435 39.878714 2000-2012 –> 2013-2019 8.6329243 40094.0775
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5425337 14365.2805 35.810712 2000-2012 –> 2013-2019 8.6579411 40131.7313
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.5700499 14394.8363 32.887848 2000-2012 –> 2013-2019 8.7306382 40260.5157
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.6276616 14454.1461 51.220722 2000-2012 –> 2013-2019 8.7972660 40337.4982
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.4702109 14286.7350 47.167817 2000-2012 –> 2013-2019 8.5229445 39913.7192
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.5594815 14383.5056 32.525497 2000-2012 –> 2013-2019 8.7145163 40237.0463
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4.5695083 14392.2563 32.917322 2000-2012 –> 2013-2019 8.7394375 40276.3163
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5085354 14328.5139 37.444027 2000-2012 –> 2013-2019 8.6745625 40206.0655
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.5072870 14325.1586 45.933859 2000-2012 –> 2013-2019 8.6292528 40104.0807
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 4.5920756 31526.5422 24.761847 1982-1999 –> 2000-2012 8.6669737 74068.3808
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5753640 31489.5023 24.035118 1982-1999 –> 2000-2012 8.6396565 73994.0883
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3421777 30929.3641 25.724292 1982-1999 –> 2000-2012 8.0749985 72152.5431
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3257452 30890.7639 24.968516 1982-1999 –> 2000-2012 8.0415472 72047.1150
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 4.6147235 31581.2238 25.910648 1982-1999 –> 2000-2012 8.6341787 73918.7226
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.1874581 30542.8551 25.664124 1982-1999 –> 2000-2012 7.8018438 71282.4011
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5929402 31532.5581 24.781783 1982-1999 –> 2000-2012 8.5931282 73799.6839
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6822682 31738.8184 22.346729 1982-1999 –> 2000-2012 8.7823925 74377.6131
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.2226851 30630.5594 25.569579 1982-1999 –> 2000-2012 7.9175881 71699.9573
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.1917402 30553.7995 24.468219 1982-1999 –> 2000-2012 7.8559974 71499.7512
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 4.9894620 17368.6653 26.186170 2000-2012 –> 2013-2019 9.5815376 48895.2075
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.9837892 17364.1401 25.934974 2000-2012 –> 2013-2019 9.5591532 48853.6424
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.6888366 17014.2097 23.466579 2000-2012 –> 2013-2019 9.0310144 47943.5738
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.6756567 17000.0636 22.537880 2000-2012 –> 2013-2019 9.0014019 47890.8275
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 4.9929341 17374.6556 25.450906 2000-2012 –> 2013-2019 9.6076576 48955.8793
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.5578851 16853.7331 17.677331 2000-2012 –> 2013-2019 8.7453432 47396.5882
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.9706153 17350.9577 24.012826 2000-2012 –> 2013-2019 9.5635555 48883.5158
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.0491250 17440.8484 20.037044 2000-2012 –> 2013-2019 9.7313931 49179.6668
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.5998564 16904.3113 17.891363 2000-2012 –> 2013-2019 8.8225415 47534.8708
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5789754 16880.2135 16.952685 2000-2012 –> 2013-2019 8.7707156 47434.0130
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5735579 38022.1220 53.469571 1982-1999 –> 2000-2012 8.3104936 86411.4737
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5478562 37951.2440 57.467601 1982-1999 –> 2000-2012 8.2145363 86007.1558
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.4050951 37538.7893 57.467799 1982-1999 –> 2000-2012 7.9974373 85232.6982
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.7304101 38460.1949 54.508270 1982-1999 –> 2000-2012 8.6011187 87473.1708
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.8897441 38888.6072 90.359509 1982-1999 –> 2000-2012 8.4505645 86426.7474
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.6610885 38269.2813 82.586789 1982-1999 –> 2000-2012 8.3352343 86361.1423
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.4489361 37664.8567 54.757551 1982-1999 –> 2000-2012 8.1130481 85706.3858
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 4.7091859 38400.0417 51.768797 1982-1999 –> 2000-2012 8.5727660 87378.4380
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9832936 36237.1469 37.112345 1982-1999 –> 2000-2012 7.3126366 82587.3115
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.9258234 38981.6766 91.128698 1982-1999 –> 2000-2012 8.5409025 86785.0963
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.4618398 21642.0661 51.228710 2000-2012 –> 2013-2019 10.0353977 59664.1881
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 5.3730061 21528.2630 21.847811 2000-2012 –> 2013-2019 10.1303516 60059.8850
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.4307677 21604.4721 54.782005 2000-2012 –> 2013-2019 9.9786239 59555.7161
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.4293254 21602.6288 57.778131 2000-2012 –> 2013-2019 9.8344205 59141.4181
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.4676709 21651.4713 46.932333 2000-2012 –> 2013-2019 10.1980809 60111.6663
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.4298244 21603.2665 39.600317 2000-2012 –> 2013-2019 10.2294779 60251.3871
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 5.4676877 21649.4927 55.026621 2000-2012 –> 2013-2019 9.9166238 59314.3494
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 5.4334380 21605.8836 44.243171 2000-2012 –> 2013-2019 10.1426239 60005.9254
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5401169 20361.3256 31.071503 2000-2012 –> 2013-2019 8.5234106 56598.4726
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5.4124349 21579.0050 37.643553 2000-2012 –> 2013-2019 10.1940917 60176.5448
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4367941 31043.7674 33.145363 1982-1999 –> 2000-2012 6.3776021 70480.2471
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.8543860 32382.7491 30.153556 1982-1999 –> 2000-2012 7.0391002 73074.8696
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7056133 31924.4390 33.836213 1982-1999 –> 2000-2012 6.7975093 72151.6988
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.7193660 31965.7585 32.584725 1982-1999 –> 2000-2012 6.8085238 72177.0343
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.7628923 32101.8143 31.153083 1982-1999 –> 2000-2012 6.8616275 72361.9502
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6513312 31751.8709 34.371170 1982-1999 –> 2000-2012 6.7112349 71814.9611
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6823583 31850.8206 34.543615 1982-1999 –> 2000-2012 6.7681695 72046.9873
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6615498 31784.5519 34.647661 1982-1999 –> 2000-2012 6.7357071 71920.9960
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.6837230 31855.1535 32.213317 1982-1999 –> 2000-2012 6.8070696 72242.1569
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3503995 30746.0440 33.648185 1982-1999 –> 2000-2012 6.2817725 70131.8025
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.9919332 17545.3014 32.150546 2000-2012 –> 2013-2019 7.4287274 48589.0688
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3251198 18046.6483 34.047233 2000-2012 –> 2013-2019 8.0307331 49971.0873
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 4.3545549 18087.0664 31.710635 2000-2012 –> 2013-2019 8.0739208 50052.8249
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.4184637 18178.1850 29.706048 2000-2012 –> 2013-2019 8.1813559 50279.9993
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2552003 17944.7206 34.849534 2000-2012 –> 2013-2019 7.9065315 49696.5915
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.2939928 18001.4768 35.313602 2000-2012 –> 2013-2019 7.9763511 49852.2974
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 4.2501304 17935.2648 34.578140 2000-2012 –> 2013-2019 7.9522207 49846.5804
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.2668570 17961.8295 35.435188 2000-2012 –> 2013-2019 7.9284068 49746.3814
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.2819666 17983.9367 31.903698 2000-2012 –> 2013-2019 7.9656896 49839.0902
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8506224 17319.9019 34.065896 2000-2012 –> 2013-2019 7.2010219 48065.9460
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.3039890 30525.4141 27.614677 1982-1999 –> 2000-2012 5.6358962 67265.1951
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2490502 30329.7000 9.698875 1982-1999 –> 2000-2012 5.6072349 67251.1249
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.4065195 30880.1172 25.347625 1982-1999 –> 2000-2012 5.7811871 67912.4501
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.2109606 30192.0571 11.351807 1982-1999 –> 2000-2012 5.7592147 68370.0222
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.2445631 30311.5692 12.956096 1982-1999 –> 2000-2012 5.8015673 68543.1000
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1941558 30130.8107 9.020579 1982-1999 –> 2000-2012 5.5228625 66848.3288
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2012825 30156.8239 9.063371 1982-1999 –> 2000-2012 5.5427212 66962.7276
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.2021974 30158.1590 12.256974 1982-1999 –> 2000-2012 5.5899070 67279.2765
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1907163 30118.2351 9.020227 1982-1999 –> 2000-2012 5.5261454 66882.4808
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3812657 30795.2658 16.505731 1982-1999 –> 2000-2012 5.8305428 68331.0626
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.0161302 17453.8696 31.309309 2000-2012 –> 2013-2019 7.3201193 47979.2837
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8080844 17123.6504 11.793178 2000-2012 –> 2013-2019 7.0571346 47453.3505
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 4.1500010 17655.4284 29.066794 2000-2012 –> 2013-2019 7.5565205 48535.5456
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.6990870 16943.3685 10.665729 2000-2012 –> 2013-2019 6.9100476 47135.4257
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.7480394 17022.9841 10.788719 2000-2012 –> 2013-2019 6.9926024 47334.5532
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7317885 16998.0087 10.849633 2000-2012 –> 2013-2019 6.9259443 47128.8194
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7356565 17004.4400 10.850465 2000-2012 –> 2013-2019 6.9369390 47161.2638
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.8223662 17144.8893 17.526985 2000-2012 –> 2013-2019 7.0245636 47303.0483
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7204843 16979.1751 10.828888 2000-2012 –> 2013-2019 6.9112006 47097.4102
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0369468 17485.9641 22.037455 2000-2012 –> 2013-2019 7.4182125 48281.2299
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou 2.8374103 11416.1216 28.547921 1982-1999 –> 2000-2012 4.9273192 24925.3633
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate 2.8001807 11356.9165 27.032925 1982-1999 –> 2000-2012 4.8792917 24835.7206
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.8599401 11458.7715 33.532480 1982-1999 –> 2000-2012 4.8836281 24772.3837
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2.9055114 11530.0293 31.477612 1982-1999 –> 2000-2012 4.9272069 24835.4727
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate 2.7972895 11352.1295 27.582601 1982-1999 –> 2000-2012 4.8998478 24901.1582
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.8494867 11439.8028 29.759717 1982-1999 –> 2000-2012 4.8566382 24700.0349
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate 2.7944449 11345.4146 26.700065 1982-1999 –> 2000-2012 4.8924404 24878.8394
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate 2.7932886 11345.4969 26.509194 1982-1999 –> 2000-2012 4.8949203 24891.7654
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.9014386 11523.5289 31.301205 1982-1999 –> 2000-2012 4.9224269 24826.7815
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate_star 2.8798470 11486.9152 30.386908 1982-1999 –> 2000-2012 4.8883715 24749.4293
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.2561255 6583.4766 26.019076 2000-2012 –> 2013-2019 6.0276984 17894.8070
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate_star 3.3187098 6629.6050 17.866942 2000-2012 –> 2013-2019 6.0900478 17938.5424
Indo-Pacific (27.75,27.85] cstar_tref ~ nitrate + silicate + phosphate_star 3.2555831 6581.0555 21.874677 2000-2012 –> 2013-2019 6.0132900 17867.1440
Indo-Pacific (27.75,27.85] cstar_tref ~ silicate + phosphate + phosphate_star 3.3027931 6617.4514 18.480463 2000-2012 –> 2013-2019 6.0657803 17912.4044
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate 3.2742097 6595.4781 33.675550 2000-2012 –> 2013-2019 6.0743903 17952.3946
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2022514 6543.2998 42.094954 2000-2012 –> 2013-2019 6.0621914 18002.0713
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate 3.2477284 6574.9489 33.071293 2000-2012 –> 2013-2019 6.0450179 17927.0784
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + phosphate 3.2645016 6585.9714 32.396455 2000-2012 –> 2013-2019 6.0785261 17963.7416
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate 3.2649118 6586.2890 32.238179 2000-2012 –> 2013-2019 6.0593567 17931.7037
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate 3.2645376 6587.9992 32.349707 2000-2012 –> 2013-2019 6.0578262 17933.4961
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou 2.8848148 14419.4132 39.013118 1982-1999 –> 2000-2012 5.0771714 32104.8160
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate 2.8105617 14267.8053 34.667365 1982-1999 –> 2000-2012 5.0142309 31994.4851
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 2.8570125 14365.1091 37.292332 1982-1999 –> 2000-2012 5.0695825 32126.1173
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou 2.8384256 14323.1614 36.989676 1982-1999 –> 2000-2012 5.0213614 31972.0272
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate 2.8808409 14411.3987 38.275046 1982-1999 –> 2000-2012 5.0737007 32098.6420
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate 2.7808696 14204.0567 33.118413 1982-1999 –> 2000-2012 4.9803589 31913.5096
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate 2.7969897 14239.6620 33.919787 1982-1999 –> 2000-2012 4.9982784 31957.6736
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + phosphate 2.8153823 14275.7688 35.361476 1982-1999 –> 2000-2012 5.0422059 32084.2767
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate 2.8336807 14313.4343 35.021492 1982-1999 –> 2000-2012 5.0544427 32100.0814
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate 2.8177683 14282.6940 35.392953 1982-1999 –> 2000-2012 5.0231307 32015.5335
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + phosphate_star 3.3671793 8128.2150 30.617459 2000-2012 –> 2013-2019 6.2260018 22493.0063
Indo-Pacific (27.85,27.95] cstar_tref ~ nitrate + phosphate_star 3.3707576 8131.4906 30.733198 2000-2012 –> 2013-2019 6.2243686 22485.6736
Indo-Pacific (27.85,27.95] cstar_tref ~ nitrate + silicate + phosphate_star 3.3642882 8127.5658 30.268188 2000-2012 –> 2013-2019 6.2230391 22494.2115
Indo-Pacific (27.85,27.95] cstar_tref ~ phosphate + phosphate_star 3.3683455 8129.2829 30.641926 2000-2012 –> 2013-2019 6.2353640 22510.7186
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate 3.4104461 8169.5906 40.726425 2000-2012 –> 2013-2019 6.2210078 22437.3959
Indo-Pacific (27.85,27.95] cstar_tref ~ silicate + phosphate_star 3.3702829 8131.0562 30.687040 2000-2012 –> 2013-2019 6.2293074 22496.2585
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate 3.3768560 8137.0652 38.187234 2000-2012 –> 2013-2019 6.1577256 22341.1219
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate 3.3583409 8122.1092 37.539386 2000-2012 –> 2013-2019 6.1553307 22361.7712
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + phosphate 3.3941028 8152.7762 39.792203 2000-2012 –> 2013-2019 6.2094852 22428.5450
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate 3.3854926 8146.9426 40.115226 2000-2012 –> 2013-2019 6.2032609 22429.6367
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.1993675 10903.8726 8.183986 1982-1999 –> 2000-2012 4.1787156 25810.5619
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2197267 10949.3358 8.890157 1982-1999 –> 2000-2012 4.1203939 25568.5986
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.1948294 10893.6814 7.794446 1982-1999 –> 2000-2012 4.1841319 25835.9177
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.1989586 10902.9551 8.929309 1982-1999 –> 2000-2012 4.0965687 25510.8116
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2277561 10967.1512 8.952684 1982-1999 –> 2000-2012 4.1339545 25607.0057
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2283269 10968.4153 8.947931 1982-1999 –> 2000-2012 4.1358952 25613.3601
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.2255417 10962.2444 9.138205 1982-1999 –> 2000-2012 4.1303537 25596.9432
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2284072 10968.5931 8.954326 1982-1999 –> 2000-2012 4.1358943 25613.2362
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 2.2286434 10967.1160 9.012225 1982-1999 –> 2000-2012 4.1362212 25610.0963
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.1957461 10895.7417 7.907954 1982-1999 –> 2000-2012 4.0817839 25460.2529
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 2.4108383 6237.4566 8.321431 2000-2012 –> 2013-2019 4.6278856 17178.8330
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.4058445 6233.8415 8.478175 2000-2012 –> 2013-2019 4.6052120 17137.7141
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4826685 6318.9620 8.645440 2000-2012 –> 2013-2019 4.7023952 17268.2977
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.3999900 6227.2436 8.662514 2000-2012 –> 2013-2019 4.5948194 17120.9251
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.4917845 6328.8871 9.658222 2000-2012 –> 2013-2019 4.6907430 17231.8422
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.4469739 6279.7451 9.449707 2000-2012 –> 2013-2019 4.6865407 17272.9854
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.4928312 6330.0245 8.703805 2000-2012 –> 2013-2019 4.7205873 17297.1756
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.4922914 6329.4380 8.697627 2000-2012 –> 2013-2019 4.7206183 17297.8533
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4912693 6328.3272 8.745324 2000-2012 –> 2013-2019 4.7168110 17290.5716
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.4317453 6262.8394 9.272788 2000-2012 –> 2013-2019 4.6274914 17158.5811
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.9562418 7193.1153 9.166233 1982-1999 –> 2000-2012 3.5855282 16946.4835
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8516135 7006.2462 9.559350 1982-1999 –> 2000-2012 3.4634007 16706.4553
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.8896578 7076.1287 9.503968 1982-1999 –> 2000-2012 3.5812281 17023.1238
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8576842 7017.4930 9.535056 1982-1999 –> 2000-2012 3.4712965 16723.4829
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8590619 7020.0402 9.524749 1982-1999 –> 2000-2012 3.4742009 16730.8608
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8632574 7027.7858 9.499479 1982-1999 –> 2000-2012 3.4851246 16759.8407
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8586700 7019.3158 9.518747 1982-1999 –> 2000-2012 3.4734499 16729.0006
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8701718 7038.5130 9.842284 1982-1999 –> 2000-2012 3.4965770 16782.8400
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.8681280 7036.7558 10.650067 1982-1999 –> 2000-2012 3.4930226 16778.3363
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.8450079 6993.9663 12.860781 1982-1999 –> 2000-2012 3.5680227 17035.0424
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0455442 4138.0519 9.727304 2000-2012 –> 2013-2019 3.8971578 11144.2980
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.0514223 4143.5957 9.703834 2000-2012 –> 2013-2019 3.9410802 11219.7244
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0518547 4144.0028 9.729247 2000-2012 –> 2013-2019 3.9095389 11161.4958
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0521393 4144.2709 9.723638 2000-2012 –> 2013-2019 3.9112012 11164.3110
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0535440 4145.5929 9.552308 2000-2012 –> 2013-2019 3.9168014 11173.3787
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate 2.0541340 4144.1478 10.114585 2000-2012 –> 2013-2019 3.9572860 11242.7261
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0516171 4143.7791 9.718915 2000-2012 –> 2013-2019 3.9102871 11163.0949
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 2.0713703 4160.2916 9.981121 2000-2012 –> 2013-2019 3.9415421 11198.8046
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0911090 4180.6151 10.707978 2000-2012 –> 2013-2019 3.9592370 11217.3710
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.0205522 4114.3017 9.426691 2000-2012 –> 2013-2019 3.8655601 11108.2680
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.5310113 53983.7397 7.904520 1982-1999 –> 2000-2012 2.9408004 125673.6792
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.4651857 52696.1289 16.595276 1982-1999 –> 2000-2012 2.7704403 121250.7702
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4161728 51702.7924 20.752019 1982-1999 –> 2000-2012 2.6305643 117324.8892
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4180120 51740.7606 20.799658 1982-1999 –> 2000-2012 2.6327738 117375.2579
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4201102 51784.0145 20.848817 1982-1999 –> 2000-2012 2.6354667 117438.4169
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.4245801 51875.9485 21.235892 1982-1999 –> 2000-2012 2.6337914 117324.1899
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4201791 51785.4344 20.850853 1982-1999 –> 2000-2012 2.6355975 117441.9089
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.4043470 51455.4797 20.113606 1982-1999 –> 2000-2012 2.6126179 116870.0820
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.5275049 53916.6649 20.154541 1982-1999 –> 2000-2012 2.7409604 119507.4031
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.4492469 52378.1501 20.655395 1982-1999 –> 2000-2012 2.7179767 119780.5017
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.6413094 29894.4685 9.615638 2000-2012 –> 2013-2019 3.1723207 83878.2082
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.6124810 29615.8893 13.619336 2000-2012 –> 2013-2019 3.0776667 82312.0182
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5980947 29478.0118 18.125849 2000-2012 –> 2013-2019 3.0142675 81180.8042
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.7159632 30586.7154 10.172947 2000-2012 –> 2013-2019 3.3316282 86142.8515
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6003924 29500.4368 18.169973 2000-2012 –> 2013-2019 3.0184045 81241.1974
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6027234 29523.1538 18.211399 2000-2012 –> 2013-2019 3.0228337 81307.1683
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6236189 29725.3278 19.015203 2000-2012 –> 2013-2019 3.0481990 81601.2762
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6027319 29523.2363 18.211561 2000-2012 –> 2013-2019 3.0229111 81308.6707
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5992784 29487.5680 18.082866 2000-2012 –> 2013-2019 3.0036254 80943.0477
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6284713 29771.9043 18.171865 2000-2012 –> 2013-2019 3.0777182 82150.0544

5.3.2 per fitting unit

lm_best %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab eras rmse_sum_mean ais_sum_mean
Atlantic (-Inf,26] 1982-1999 –> 2000-2012 2.4130359 1209.1503
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 2.3241039 733.3021
Atlantic (26,26.5] 1982-1999 –> 2000-2012 7.1703824 13878.2613
Atlantic (26,26.5] 2000-2012 –> 2013-2019 7.1518615 8716.2937
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.4489510 17049.3757
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 6.7374084 10822.1706
Atlantic (26.75,27] 1982-1999 –> 2000-2012 3.9735193 23130.5336
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.9001733 16697.5741
Atlantic (27,27.25] 1982-1999 –> 2000-2012 3.8753366 19212.8275
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.3673733 13838.0295
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 4.8169682 22307.0189
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 5.8397415 15352.2270
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 4.7507997 29712.7784
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 5.5713642 20874.4083
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 3.4251341 9244.4344
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 3.5898786 6179.8528
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 6.6264602 12069.6451
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 7.4333413 8478.1309
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 9.6243765 17241.1103
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 9.1355477 11049.1476
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 1.9666644 5234.0574
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.1755119 3738.5298
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.4681520 4856.4371
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.7674914 3674.4297
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.1510625 6522.9432
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.5381566 4995.1148
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 0.7929571 5881.4650
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 0.9219239 5087.2652
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 12.9625331 82172.0264
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 12.3177015 52621.0390
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 9.2858633 78058.9501
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 9.4902989 50332.1348
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 8.1664590 61188.9814
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.6775637 40172.0190
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 8.3008304 72884.0256
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 9.2414314 48296.7785
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 8.2448738 86036.9620
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 9.9183102 59487.9553
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.7188316 71840.2704
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 7.8644959 49593.9867
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.6597279 67564.5769
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 7.1053285 47540.9931
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.8972091 24831.6949
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 6.0574125 17932.3383
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 5.0354464 32036.7162
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.2084891 22447.8339
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.1333913 25622.6784
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.6693104 17225.4779
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.5091851 16821.5466
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.9209692 11179.3473
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 2.6950989 118998.7099
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 3.0789575 82206.5297

5.4 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.5 Plot selected model residuals

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

            rm(p_model_predictors)
            
            
            # plot model diagnostics vs location
            
            GLODAP_basin_era_slab <- GLODAP_basin_era_slab %>%
              mutate(fitted = i_lm_fit$fitted.values,
                     residuals = i_lm_fit$residuals)
            
            GLODAP_basin_era_slab_long <- GLODAP_basin_era_slab %>% 
              pivot_longer(cols = c(params_local$MLR_target , fitted, residuals),
                           names_to = "estimate",
                           values_to = "value"
              ) %>% 
              pivot_longer(cols = c(lat, lon, depth),
                           names_to = "coordinate_type",
                           values_to = "coordinate_value"
              )

             p_model_coordinate <- GLODAP_basin_era_slab_long %>%
              ggplot(aes(coordinate_value, value)) +
              geom_bin2d() +
              scale_fill_viridis_c() +
              labs(
                title = paste(
                  "era:",
                  i_era,
                  "| eras:",
                  i_eras,
                  "| basin:",
                  i_basin,
                  "| gamma slab:",
                  i_gamma_slab,
                  "| predictors:",
                  i_predictors
                )
              ) +
              facet_grid(estimate~coordinate_type,
                         scales = "free")

            ggsave(
              plot = p_model_coordinate,
              path = paste(path_version_figures, "eMLR_diagnostics", sep = ""),
              filename = paste(
                "Location_MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

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

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

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

5.6 Cant coeffcients

A data frame of coefficient offsets is prepared to facilitate the direct mapping of Cant.

# pivot long format
lm_best_long <- lm_best_target %>%
  pivot_longer(cols = starts_with("coeff_"),
               names_to = "term",
               values_to = "estimate",
               names_prefix = "coeff_")

# subtract coefficients of adjacent era  
lm_best_long <- lm_best_long %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, eras, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term, eras) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot back to wide format
lm_best_cant <- lm_best_long %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

5.7 Write files

lm_best_target %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    era,
    starts_with("coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

lm_best_cant %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    starts_with("delta_coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_cant.csv",
                  sep = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 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
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

Version Author Date
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Version Author Date
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 8 1 7 8 10 4 8
(26,26.5] 7 4 3 6 10 8 9
(26.5,26.75] 9 1 7 7 5 10 7
(26.75,27] 8 1 7 7 5 10 7
(27,27.25] 7 4 4 8 9 10 5
(27.25,27.5] 8 6 3 6 8 10 7
(27.5,27.75] 7 2 6 6 10 8 7
(27.75,27.85] 7 3 5 7 10 8 8
(27.85,27.95] 9 0 9 8 2 3 7
(27.95,28.05] 7 3 3 9 7 7 9
(28.05,28.1] 8 2 7 8 9 6 8
(28.1,28.15] 6 3 5 9 9 6 9
(28.15,28.2] 10 10 0 6 6 6 6
(28.2, Inf] 9 10 0 6 8 6 5
total 110.00 50.00 66.00 101.00 108.00 102.00 102.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 2 6 7 10 5 8
(26,26.5] 6 4 4 6 10 8 9
(26.5,26.75] 9 1 7 7 5 10 7
(26.75,27] 9 2 6 7 6 10 6
(27,27.25] 6 3 5 8 10 10 4
(27.25,27.5] 9 6 3 5 7 10 5
(27.5,27.75] 7 4 4 7 10 9 7
(27.75,27.85] 7 3 5 7 10 8 8
(27.85,27.95] 10 0 10 7 4 4 6
(27.95,28.05] 8 3 5 8 8 5 9
(28.05,28.1] 8 3 6 8 9 7 8
(28.1,28.15] 8 1 7 8 9 5 8
(28.15,28.2] 9 10 0 6 7 6 7
(28.2, Inf] 8 10 0 6 9 6 4
total 112.00 52.00 68.00 97.00 114.00 103.00 96.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 8 1 7 8 10 4 8
(26,26.5] 9 2 6 8 5 9 8
(26.5,26.75] 5 3 5 9 8 8 7
(26.75,27] 9 0 10 8 6 5 6
(27,27.25] 8 3 7 8 4 8 8
(27.25,27.5] 8 2 6 8 8 10 5
(27.5,27.75] 8 2 5 6 9 10 7
(27.75,27.85] 4 2 3 5 0 9 10
(27.85,27.95] 3 3 3 0 3 5 10
(27.95,28.05] 7 4 4 8 9 9 8
(28.05,28.1] 7 3 5 7 8 10 8
(28.1, Inf] 7 3 5 8 8 10 7
total 83.00 28.00 66.00 83.00 78.00 97.00 92.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 3 6 8 10 5 8
(26,26.5] 7 2 6 8 6 10 8
(26.5,26.75] 6 3 6 8 6 9 8
(26.75,27] 9 0 10 8 6 5 6
(27,27.25] 8 0 10 7 5 8 7
(27.25,27.5] 7 2 6 8 8 10 6
(27.5,27.75] 8 2 5 6 9 10 7
(27.75,27.85] 4 3 4 5 0 9 6
(27.85,27.95] 1 5 3 5 1 4 5
(27.95,28.05] 9 5 4 8 9 7 7
(28.05,28.1] 6 3 5 7 8 10 9
(28.1, Inf] 6 2 6 8 9 10 6
total 78.00 30.00 71.00 86.00 77.00 97.00 83.00

6.4 RMSE alternatives

AIC is an alternative criterion to RMSE to judge model quality, but not (yet) taken into account.

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

Version Author Date
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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            MASS_7.3-53              plyr_1.8.6              
[55] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[58] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[61] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[64] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[67] RcppArmadillo_0.10.1.2.2 data.table_1.13.6        modelr_0.1.8            
[70] vctrs_0.3.6              httpuv_1.5.4             cellranger_1.1.0        
[73] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[76] xfun_0.20                openxlsx_4.2.3           RcppEigen_0.3.3.9.1     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_1.0.1