Last updated: 2021-01-25

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: 560dcf7

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 560dcf7. 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:    .Rproj.user/

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

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

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

File Version Author Date Message
html 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, 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 helper objects
rm(i_gamma_slab,
   i_era,
   i_basin,
   GLODAP_basin_era,
   GLODAP_basin_era_slab,
   lm_full)

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 56

4 Fit all models

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

  • cstar_tref

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

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        # i_predictors <- unique(lm_all$predictors)[110]

        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        # fit model
        i_lm_fit <- lm(as.formula(i_lm),
                       data = GLODAP_basin_era_slab)
        
        # find max predictor correlation
        i_cor_max <- GLODAP_basin_era_slab %>%
          select(!!!syms(str_split(i_predictors, " ",
                                         simplify = TRUE))) %>%
          correlate(quiet = TRUE) %>% 
          select(-term) %>% 
          abs() %>% 
          max(na.rm = TRUE)
        
        # calculate root mean squared error
        i_rmse <- sqrt(
          c(crossprod(i_lm_fit$residuals)) / 
            length(i_lm_fit$residuals)
        )

        # calculate maximum residual
        i_resid_max <- max(abs(i_lm_fit$residuals))
        
        # calculate Akaike information criterion aic
        i_aic <- AIC(i_lm_fit)
        
        # collect model coefficients and diagnostics
        coefficients <- tidy(i_lm_fit)
        
        coefficients <- coefficients %>%
          mutate(
            basin = i_basin,
            era = i_era,
            gamma_slab = i_gamma_slab,
            model = i_lm,
            rmse = i_rmse,
            aic = i_aic,
            resid_max = i_resid_max,
            n_predictors = i_n_predictors,
            na_predictor = anyNA(coefficients$estimate),
            cor_max = i_cor_max
          )
        
        if (exists("lm_all_fitted")) {
          lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
        }
        
        if (!exists("lm_all_fitted")) {
          lm_all_fitted <- coefficients
        }
        
        # # plot model diagnostics, if activated
        # if (params_local$plot_all_figures == "y") {
        #   p_model <- ggnostic(
        #     i_lm_fit,
        #     columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
        #     title = paste(
        #       "| era:",
        #       i_era,
        #       "| basin:",
        #       i_basin,
        #       "| gamma slab:",
        #       i_gamma_slab,
        #       "| predictors:",
        #       i_predictors
        #     )
        #   )
        #   
        #   ggsave(
        #     plot = p_model,
        #     path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
        #     filename = paste(
        #       "MLR_residuals",
        #       i_era,
        #       i_basin,
        #       i_gamma_slab,
        #       i_predictors,
        #       "predictors.png",
        #       sep = "_"
        #     ),
        #     width = 14,
        #     height = 8
        #   )
        #   
        #   rm(p_model)
        #   
        # }
        
      }
      
      
    }
  }
  
}

rm(i_lm_fit, coefficients, i_rmse,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   i_lm,
   i_basin, i_era, i_gamma_slab, i_predictors,
   lm_all,
   i_aic, i_n_predictors, i_resid_max)

5 Prepare coeffcients

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

5.1 Formatting

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

# set coefficient to zero if not fitted (=NA)
lm_all_fitted <- lm_all_fitted %>% 
  mutate(estimate = if_else(is.na(estimate), 0, estimate))

# Prepare model coefficients for mapping of target variable
lm_all_fitted_wide <- lm_all_fitted %>% 
  pivot_wider(values_from = estimate,
              names_from = term,
              names_prefix = "coeff_",
              values_fill = 0)

5.2 Predictor selection

Within each basin and slab, the following number of best linear regression models was selected:

  • 10

The criterion used to select the best models was:

  • rmse

The criterion was summed up for two adjacent eras, and the models with lowest summed values were selected.

Please note, that currently the lm() function produces NAs for some predictors. It is not yet entirely clear when this happens, but presumably it is caused by some form of collinearity between predictors, such that including another predictor does not help to explain the target variable any better. The issues also expresses as exactly identical rmse values of different models. As an interim solution, models with fitted NA predictors were not included.

# remove models with predictors fitted as NA

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

# subset models with lowest summed criterion
# chose which criterion is applied

if (params_local$MLR_criterion == "aic") {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
} else {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = rmse_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
}


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.0529313 508.0936 4.021817 1982-1999 –> 2000-2012 2.3845411 1286.0801
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate_star 1.6008674 646.8667 6.790466 1982-1999 –> 2000-2012 3.2738747 1525.1022
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.5916304 646.9223 6.236707 1982-1999 –> 2000-2012 3.2587696 1525.5837
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.0669064 510.5238 4.506279 1982-1999 –> 2000-2012 2.3985898 1286.5351
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate_star 1.7082496 666.6810 5.685997 1982-1999 –> 2000-2012 3.5566338 1587.5772
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0650698 511.9449 4.426016 1982-1999 –> 2000-2012 2.3967507 1289.9554
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate_star 1.5920988 645.0212 6.095379 1982-1999 –> 2000-2012 3.2994473 1532.3595
Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 1.7515345 677.0887 7.354714 1982-1999 –> 2000-2012 3.5735487 1593.5475
Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.6308264 655.0965 8.172733 1982-1999 –> 2000-2012 3.2749619 1527.5332
Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1.6618576 659.4298 7.791514 1982-1999 –> 2000-2012 3.3446631 1540.2814
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.1285639 254.2220 2.798637 2000-2012 –> 2013-2019 2.1814952 762.3155
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate_star 1.7056555 316.6505 4.535958 2000-2012 –> 2013-2019 3.3065229 963.5172
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.6877721 317.0063 3.830745 2000-2012 –> 2013-2019 3.2794025 963.9286
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.2474664 267.8483 3.699851 2000-2012 –> 2013-2019 2.3143729 778.3721
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate_star 1.7690152 320.3404 3.873711 2000-2012 –> 2013-2019 3.4772648 987.0214
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1819575 261.4332 3.306338 2000-2012 –> 2013-2019 2.2470273 773.3781
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate_star 1.6921959 315.4146 4.212663 2000-2012 –> 2013-2019 3.2842947 960.4358
Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 1.8549118 329.7370 4.873391 2000-2012 –> 2013-2019 3.6064463 1006.8257
Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.6889595 317.1160 5.731416 2000-2012 –> 2013-2019 3.3197859 972.2125
Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1.7566234 321.2438 5.221307 2000-2012 –> 2013-2019 3.4184809 980.6736
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.2834761 6541.0541 10.686716 1982-1999 –> 2000-2012 8.5162929 16077.1451
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1483353 6470.2189 15.610307 1982-1999 –> 2000-2012 8.3153770 15956.1891
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 4.7557766 6778.6943 15.211274 1982-1999 –> 2000-2012 9.6223811 16779.1372
Atlantic (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5713294 6688.8232 12.905745 1982-1999 –> 2000-2012 9.0137711 16385.7780
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate 4.8869283 6840.5016 13.167754 1982-1999 –> 2000-2012 9.7275853 16823.1530
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.3090866 5956.6676 14.023919 1982-1999 –> 2000-2012 6.5663309 14622.8688
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate 4.8704510 6832.8282 13.110411 1982-1999 –> 2000-2012 9.7309251 16829.0762
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.8702309 6834.7255 13.203803 1982-1999 –> 2000-2012 9.7108448 16819.3472
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.7079480 6757.7292 16.188502 1982-1999 –> 2000-2012 9.5076895 16714.1312
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5385329 6108.9825 13.458633 1982-1999 –> 2000-2012 6.9817398 14959.9600
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.2055743 3541.2118 12.176185 2000-2012 –> 2013-2019 8.4890504 10082.2660
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.9942376 3479.4860 14.424969 2000-2012 –> 2013-2019 8.1425729 9949.7049
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 4.6648844 3669.3260 16.005098 2000-2012 –> 2013-2019 9.4206610 10448.0202
Atlantic (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5467245 3637.6152 12.289128 2000-2012 –> 2013-2019 9.1180539 10326.4384
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate 4.8224444 3710.3833 14.477724 2000-2012 –> 2013-2019 9.7093727 10550.8849
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.2559999 3226.9053 10.447673 2000-2012 –> 2013-2019 6.5650865 9183.5729
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate 4.7972101 3703.8987 15.372077 2000-2012 –> 2013-2019 9.6676611 10536.7268
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.7936316 3704.9764 15.685416 2000-2012 –> 2013-2019 9.6638626 10539.7019
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.6011560 3654.3242 16.602424 2000-2012 –> 2013-2019 9.3091040 10412.0534
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6126461 3355.3765 10.821609 2000-2012 –> 2013-2019 7.1511790 9464.3590
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.2470241 8115.6336 10.231136 1982-1999 –> 2000-2012 6.3638299 18919.9984
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3583807 8218.8401 10.684921 1982-1999 –> 2000-2012 6.5236212 19086.3096
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.6134082 8449.2007 25.548341 1982-1999 –> 2000-2012 7.0564714 19673.8776
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.3118168 8177.2786 9.235382 1982-1999 –> 2000-2012 6.5193883 19102.8376
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4935319 8343.9375 9.554329 1982-1999 –> 2000-2012 6.8941893 19516.2921
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.3451130 8206.4897 9.984430 1982-1999 –> 2000-2012 6.5607432 19140.6428
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2815350 8148.6194 10.449681 1982-1999 –> 2000-2012 6.4073454 18965.1643
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.5245409 8369.5088 9.820903 1982-1999 –> 2000-2012 6.9320545 19548.3669
Atlantic (26.5,26.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.5859901 8425.4362 10.027561 1982-1999 –> 2000-2012 7.0712048 19701.4868
Atlantic (26.5,26.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.5901940 8427.0917 10.080328 1982-1999 –> 2000-2012 7.0755901 19701.3622
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.6081877 3984.1519 10.431252 2000-2012 –> 2013-2019 7.2342823 12442.2874
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.4004276 3898.9744 9.224751 2000-2012 –> 2013-2019 6.6474517 12014.6081
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.5190393 3947.3760 11.109784 2000-2012 –> 2013-2019 6.8774200 12166.2161
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.6080811 3986.1085 10.463205 2000-2012 –> 2013-2019 7.2214893 12435.3092
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.4386856 3915.4209 9.742502 2000-2012 –> 2013-2019 6.7505023 12092.6995
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.5858549 3977.0251 10.772251 2000-2012 –> 2013-2019 7.0793868 12320.9626
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.4519208 3919.0679 10.234892 2000-2012 –> 2013-2019 6.7970338 12125.5577
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.4178621 3906.4920 10.546763 2000-2012 –> 2013-2019 6.6993971 12055.1115
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.5949819 3978.7619 10.490753 2000-2012 –> 2013-2019 7.1195228 12348.2707
Atlantic (26.5,26.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.6432257 4000.3578 10.742237 2000-2012 –> 2013-2019 7.2292158 12425.7940
Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.0966114 11544.4535 14.839339 1982-1999 –> 2000-2012 3.7617485 25064.2334
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.1562430 11692.2135 15.705946 1982-1999 –> 2000-2012 3.8576824 25361.0060
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.2325380 11879.8944 19.484790 1982-1999 –> 2000-2012 4.2505671 26745.5555
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.5015490 12487.4319 33.775208 1982-1999 –> 2000-2012 4.8367908 28375.3437
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.2365224 11887.4160 19.548166 1982-1999 –> 2000-2012 4.2545625 26751.1156
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0584488 11446.3592 15.019464 1982-1999 –> 2000-2012 3.7431105 25047.7630
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 2.5059943 12494.9128 34.180839 1982-1999 –> 2000-2012 4.8412387 28380.8326
Atlantic (26.75,27] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.6003224 12694.2250 38.268117 1982-1999 –> 2000-2012 5.0333871 28869.4724
Atlantic (26.75,27] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.7159919 12924.6314 37.121102 1982-1999 –> 2000-2012 5.2900323 29492.2676
Atlantic (26.75,27] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.6046719 12701.1497 38.535734 1982-1999 –> 2000-2012 5.0525068 28916.7749
Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.5189920 6630.0597 21.776215 2000-2012 –> 2013-2019 4.6156034 18174.5132
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6328416 6752.8943 26.902311 2000-2012 –> 2013-2019 4.7890846 18445.1078
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.5741578 6691.2377 21.834798 2000-2012 –> 2013-2019 4.8066958 18571.1320
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7038886 6830.0897 21.165838 2000-2012 –> 2013-2019 5.2054376 19317.5216
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.5995484 6716.9561 24.264161 2000-2012 –> 2013-2019 4.8360707 18604.3721
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5343371 6647.2107 25.445252 2000-2012 –> 2013-2019 4.5927859 18093.5699
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 2.7243659 6849.3960 23.389466 2000-2012 –> 2013-2019 5.2303601 19344.3088
Atlantic (26.75,27] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.7703116 6898.6249 22.191902 2000-2012 –> 2013-2019 5.3706340 19592.8499
Atlantic (26.75,27] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.9099779 7035.5252 27.362241 2000-2012 –> 2013-2019 5.6259698 19960.1567
Atlantic (26.75,27] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.7728530 6899.2144 22.992642 2000-2012 –> 2013-2019 5.3775249 19600.3641
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.0073007 9809.8273 20.172524 1982-1999 –> 2000-2012 3.8404296 22224.6995
Atlantic (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.5229072 10866.3425 19.946542 1982-1999 –> 2000-2012 4.7336405 24426.2398
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.9327843 9634.6778 11.477082 1982-1999 –> 2000-2012 3.7417773 21968.3826
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2099022 10255.0358 10.956753 1982-1999 –> 2000-2012 4.5729303 24224.9117
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9771119 9737.6654 9.743648 1982-1999 –> 2000-2012 3.7957715 22102.0078
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9362557 9642.9858 10.006513 1982-1999 –> 2000-2012 3.5913896 21432.3384
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.2579994 10352.7242 10.229612 1982-1999 –> 2000-2012 4.6474158 24388.6087
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.3210965 10482.3292 11.398495 1982-1999 –> 2000-2012 4.8065814 24761.6134
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.3260996 10490.2984 11.108468 1982-1999 –> 2000-2012 4.8117446 24767.9771
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.3259642 10490.0289 11.725473 1982-1999 –> 2000-2012 4.8474242 24855.3171
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.4642874 5987.8452 19.550203 2000-2012 –> 2013-2019 4.4715881 15797.6725
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 2.6753770 6197.3962 26.440282 2000-2012 –> 2013-2019 5.3697261 17368.1369
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.2177259 5716.4932 10.577882 2000-2012 –> 2013-2019 4.1505102 15351.1710
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.3167718 5828.9576 11.607001 2000-2012 –> 2013-2019 4.5266740 16083.9934
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.3351662 5847.3136 13.611619 2000-2012 –> 2013-2019 4.3122781 15584.9790
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3340849 5848.1214 13.744520 2000-2012 –> 2013-2019 4.2703405 15491.1072
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.4058006 5924.0180 14.914910 2000-2012 –> 2013-2019 4.6638001 16276.7422
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.4114269 5932.0305 14.000541 2000-2012 –> 2013-2019 4.7325234 16414.3598
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.4642713 5985.8285 15.716961 2000-2012 –> 2013-2019 4.7903709 16476.1269
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.4284040 5948.0888 15.043234 2000-2012 –> 2013-2019 4.7543682 16438.1177
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.1729752 12864.5994 26.520393 1982-1999 –> 2000-2012 5.5434987 29252.5858
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.3351842 11335.5444 23.531928 1982-1999 –> 2000-2012 4.1307587 25732.1397
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 2.8444219 12318.7062 20.183111 1982-1999 –> 2000-2012 5.7087267 30064.4981
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.9726998 12540.9951 20.519610 1982-1999 –> 2000-2012 5.2631877 28684.5144
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2.5924312 11855.4440 13.069770 1982-1999 –> 2000-2012 5.3326841 29283.5153
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.5508265 11776.6477 15.650128 1982-1999 –> 2000-2012 5.1392465 28797.6686
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.5177324 11711.4321 13.933174 1982-1999 –> 2000-2012 5.1453479 28840.3020
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.2222258 12941.5204 19.954756 1982-1999 –> 2000-2012 5.8391044 30039.0078
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 2.8584420 12343.2610 22.990288 1982-1999 –> 2000-2012 5.6118706 29805.7533
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7833837 12212.3738 21.243153 1982-1999 –> 2000-2012 5.1761193 28669.2869
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.8330101 7542.8175 24.341660 2000-2012 –> 2013-2019 7.0059853 20407.4169
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.9027549 6787.0163 21.222133 2000-2012 –> 2013-2019 5.2379391 18122.5607
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.1237522 6985.0356 21.378502 2000-2012 –> 2013-2019 5.9681741 19303.7417
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate 3.8669308 7566.8355 16.103419 2000-2012 –> 2013-2019 7.0783945 20491.6482
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.6519144 7412.8821 21.445720 2000-2012 –> 2013-2019 6.6246142 19953.8771
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 3.0862675 6952.1260 15.715825 2000-2012 –> 2013-2019 5.6786987 18807.5700
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.0687800 6938.6360 13.971364 2000-2012 –> 2013-2019 5.6196065 18715.2837
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.8793827 6764.9784 17.147392 2000-2012 –> 2013-2019 5.3971151 18476.4106
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.7428537 7477.9330 25.719311 2000-2012 –> 2013-2019 6.6012958 19821.1941
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6849392 7437.4229 23.980995 2000-2012 –> 2013-2019 6.4683230 19649.7968
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.2993974 19661.3413 16.278238 1982-1999 –> 2000-2012 5.9071794 43834.8722
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate 2.7533797 18298.8930 23.303127 1982-1999 –> 2000-2012 5.2077253 41854.2014
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.7533263 18300.7472 23.371140 1982-1999 –> 2000-2012 5.0930077 41371.8506
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 3.0167581 18985.8722 14.881585 1982-1999 –> 2000-2012 5.9316343 44288.7113
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.6183840 17922.8489 22.566940 1982-1999 –> 2000-2012 5.0441617 41361.1807
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.0160871 18986.1995 15.010146 1982-1999 –> 2000-2012 5.8640503 44055.0435
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 2.9055285 18701.3647 17.392654 1982-1999 –> 2000-2012 5.4605671 42663.2585
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.8915485 18667.0949 16.912660 1982-1999 –> 2000-2012 5.2661255 41886.6424
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.6619219 18044.8615 19.625058 1982-1999 –> 2000-2012 5.1381309 41690.2927
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6166199 17917.7807 18.949567 1982-1999 –> 2000-2012 4.8633639 40576.9908
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate 3.1357125 10269.4270 18.735060 2000-2012 –> 2013-2019 5.8890922 28568.3200
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.0487333 10158.7936 19.442507 2000-2012 –> 2013-2019 5.8020597 28459.5408
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.9083839 9970.0906 17.241464 2000-2012 –> 2013-2019 5.5267679 27892.9394
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.2910242 10464.9900 14.396241 2000-2012 –> 2013-2019 6.3071113 29451.1895
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 3.4148343 10608.8583 13.555597 2000-2012 –> 2013-2019 6.3203628 29310.2230
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.4049889 10599.2975 13.234065 2000-2012 –> 2013-2019 6.2965374 29266.3924
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 3.0011240 10093.7734 14.392043 2000-2012 –> 2013-2019 5.6630459 28138.6349
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0010230 10095.6386 14.411490 2000-2012 –> 2013-2019 5.6176429 28013.4193
Atlantic (27.5,27.75] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 3.0991163 10222.4224 20.818901 2000-2012 –> 2013-2019 6.2141644 29449.3994
Atlantic (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.9991904 10093.1928 20.482020 2000-2012 –> 2013-2019 6.0904726 29264.5770
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.2562554 5814.4119 15.841929 1982-1999 –> 2000-2012 4.1202946 12672.1376
Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.3349066 5901.4333 14.836198 1982-1999 –> 2000-2012 4.2222987 12798.8924
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate 1.7525909 5156.1276 13.435133 1982-1999 –> 2000-2012 3.4500612 11698.0838
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.6297352 4969.3111 13.808272 1982-1999 –> 2000-2012 3.1266819 11091.8820
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 1.9328237 5410.4375 13.304351 1982-1999 –> 2000-2012 3.8998084 12446.3534
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.7083082 5091.6405 11.562527 1982-1999 –> 2000-2012 3.4054613 11634.9702
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.8725972 5330.1961 14.192567 1982-1999 –> 2000-2012 3.7572737 12224.8290
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.0098007 5511.8987 12.302204 1982-1999 –> 2000-2012 3.6222614 11881.6368
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.7700096 5181.8213 12.243782 1982-1999 –> 2000-2012 3.5500394 11882.9673
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5878549 4901.6758 12.822888 1982-1999 –> 2000-2012 3.1163377 11094.1297
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate 1.7695593 2622.4458 14.155406 2000-2012 –> 2013-2019 3.5221502 7778.5735
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.6948421 2567.8449 14.238404 2000-2012 –> 2013-2019 3.3245774 7537.1561
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 2.0476770 2813.9656 12.694233 2000-2012 –> 2013-2019 3.9805007 8224.4031
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.7211620 2588.0629 12.043384 2000-2012 –> 2013-2019 3.4294702 7679.7034
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.0306548 2805.0134 13.091382 2000-2012 –> 2013-2019 3.9032519 8135.2095
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.3943710 3019.1815 11.376380 2000-2012 –> 2013-2019 4.4041717 8531.0802
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.8581579 2686.5437 11.776253 2000-2012 –> 2013-2019 3.6281675 7868.3650
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7304708 2595.1396 12.144692 2000-2012 –> 2013-2019 3.3183257 7496.8155
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 2.1293166 2865.2584 14.711173 2000-2012 –> 2013-2019 4.3499186 8636.2889
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.1086919 2854.4883 13.213134 2000-2012 –> 2013-2019 4.3154009 8611.2135
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.3571922 6523.9877 38.221026 1982-1999 –> 2000-2012 6.5191234 15325.8033
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.3531154 6522.9792 38.190461 1982-1999 –> 2000-2012 6.5033023 15314.0682
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.6367871 6722.0569 28.422301 1982-1999 –> 2000-2012 7.1375307 15872.0026
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 3.3583056 6522.8087 38.951768 1982-1999 –> 2000-2012 6.5202987 15322.6912
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3547203 6522.1640 37.787209 1982-1999 –> 2000-2012 6.5127716 15319.7804
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.3571873 6525.9841 38.355719 1982-1999 –> 2000-2012 6.3972759 15195.4063
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.0410955 6985.0650 63.785912 1982-1999 –> 2000-2012 7.2467330 15835.8303
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.6220158 6713.9799 36.424380 1982-1999 –> 2000-2012 6.9639295 15707.1289
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.3582501 6524.7678 39.373477 1982-1999 –> 2000-2012 6.4297050 15227.2952
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3547202 6524.1639 37.769942 1982-1999 –> 2000-2012 6.4198126 15221.5995
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.6592521 3858.1354 23.416228 2000-2012 –> 2013-2019 7.0164443 10382.1231
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.6541305 3858.1521 23.103931 2000-2012 –> 2013-2019 7.0072460 10381.1313
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 3.6881750 3867.2835 23.611024 2000-2012 –> 2013-2019 7.0464806 10390.0923
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.6760448 3864.6187 23.747093 2000-2012 –> 2013-2019 7.0307651 10386.7827
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate 3.4487698 3774.2499 24.680731 2000-2012 –> 2013-2019 7.5008095 10764.0114
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.2457955 3690.3594 24.367520 2000-2012 –> 2013-2019 6.6029828 10216.3435
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.4376914 3771.6940 24.460297 2000-2012 –> 2013-2019 7.4787869 10756.7589
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.6632452 3861.6797 25.727589 2000-2012 –> 2013-2019 7.2852609 10575.6596
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.4493114 3774.4722 25.312421 2000-2012 –> 2013-2019 6.8075615 10299.2401
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3388618 3730.3890 25.099121 2000-2012 –> 2013-2019 6.6935821 10254.5529
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.7264731 10255.0653 25.971081 1982-1999 –> 2000-2012 7.5750079 24681.2130
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.4689163 9988.7768 26.182434 1982-1999 –> 2000-2012 6.8341017 23717.6932
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate 3.8868673 10412.9265 27.320066 1982-1999 –> 2000-2012 7.6719894 24752.5134
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.6271540 10155.8711 25.650199 1982-1999 –> 2000-2012 7.2952191 24333.7920
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.5853250 10112.4206 28.611309 1982-1999 –> 2000-2012 6.8777887 23727.5146
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.9005315 10426.0723 26.690347 1982-1999 –> 2000-2012 8.0471829 25240.9310
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8909023 10418.8133 26.501166 1982-1999 –> 2000-2012 8.0292647 25225.2468
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 3.9760117 10497.8697 27.759091 1982-1999 –> 2000-2012 7.8499879 24958.3457
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 3.6667041 10194.4960 31.363408 1982-1999 –> 2000-2012 7.1149842 24048.4977
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.6140011 10142.2626 29.378529 1982-1999 –> 2000-2012 6.9296511 23793.9181
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.5837483 5316.4445 25.665693 2000-2012 –> 2013-2019 7.3102215 15571.5098
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.2269764 5112.0728 26.622503 2000-2012 –> 2013-2019 6.6958927 15100.8496
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate 3.5343940 5289.1534 26.935457 2000-2012 –> 2013-2019 7.4212613 15702.0799
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.3684785 5196.5306 25.587199 2000-2012 –> 2013-2019 6.9956325 15352.4017
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.1553319 5067.8874 30.199943 2000-2012 –> 2013-2019 6.7406569 15180.3080
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.8005114 5432.0180 25.380343 2000-2012 –> 2013-2019 7.7010429 15858.0903
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7829465 5424.9013 25.453790 2000-2012 –> 2013-2019 7.6738488 15843.7146
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 3.5852454 5317.2664 27.326398 2000-2012 –> 2013-2019 7.5612571 15815.1362
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 3.1653097 5072.1008 31.110480 2000-2012 –> 2013-2019 6.8320137 15266.5968
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.1615128 5071.7387 30.605508 2000-2012 –> 2013-2019 6.7755139 15214.0013
Atlantic (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 1.2475057 4115.4919 11.681642 1982-1999 –> 2000-2012 2.3751558 9172.5778
Atlantic (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.2368443 4096.0174 12.053256 1982-1999 –> 2000-2012 2.3551341 9127.7802
Atlantic (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 1.2502980 4119.0857 11.775302 1982-1999 –> 2000-2012 2.3946308 9222.3121
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.2416036 4103.6265 11.776967 1982-1999 –> 2000-2012 2.3610700 9136.8361
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate 1.2219152 4063.6338 5.559932 1982-1999 –> 2000-2012 2.3356470 9080.0083
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.1261527 3861.4397 7.172406 1982-1999 –> 2000-2012 2.1570401 8626.4367
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.1818024 3982.1201 6.538227 1982-1999 –> 2000-2012 2.2537567 8875.1672
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.1424109 3895.3026 7.780828 1982-1999 –> 2000-2012 2.1747704 8662.9775
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.2706915 4161.5664 5.681836 1982-1999 –> 2000-2012 2.4033631 9233.2173
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1400058 3892.0296 7.508830 1982-1999 –> 2000-2012 2.1717216 8659.6599
Atlantic (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 1.3648597 2409.7663 12.682016 2000-2012 –> 2013-2019 2.6123654 6525.2582
Atlantic (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.3571562 2403.9214 12.930769 2000-2012 –> 2013-2019 2.5940005 6499.9387
Atlantic (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 1.3649159 2407.8235 12.696647 2000-2012 –> 2013-2019 2.6152139 6526.9092
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.3629209 2407.7961 12.672908 2000-2012 –> 2013-2019 2.6045245 6511.4226
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate 1.2988704 2341.0808 5.443946 2000-2012 –> 2013-2019 2.5207856 6404.7146
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.1954364 2228.0655 7.217778 2000-2012 –> 2013-2019 2.3215892 6089.5053
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.2628684 2304.1213 6.233590 2000-2012 –> 2013-2019 2.4446708 6286.2414
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.2401088 2276.9148 8.299177 2000-2012 –> 2013-2019 2.3825197 6172.2174
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2235483 2260.2814 7.594756 2000-2012 –> 2013-2019 2.3635541 6152.3110
Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.3101231 2355.0367 6.706989 2000-2012 –> 2013-2019 2.5564690 6470.2013
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 0.9774750 3915.6521 11.098205 1982-1999 –> 2000-2012 1.7435710 8277.1522
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.9595832 3865.9997 10.592064 1982-1999 –> 2000-2012 1.7037774 8120.0329
Atlantic (28.1,28.15] cstar_tref ~ aou + phosphate + phosphate_star 0.9815718 3925.3462 11.032519 1982-1999 –> 2000-2012 1.7806623 8443.9834
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.9674322 3886.7768 10.929934 1982-1999 –> 2000-2012 1.7138074 8149.8542
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.8016665 3363.2612 5.502091 1982-1999 –> 2000-2012 1.4884717 7314.4259
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.9815943 3929.4104 4.148647 1982-1999 –> 2000-2012 1.8205714 8635.8758
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.8911044 3658.9909 5.918897 1982-1999 –> 2000-2012 1.6554314 8013.7665
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.8096172 3388.8543 5.467126 1982-1999 –> 2000-2012 1.5326899 7532.2260
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 0.9817677 3927.9043 4.115779 1982-1999 –> 2000-2012 1.8217506 8636.8917
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7943969 3337.7911 5.398179 1982-1999 –> 2000-2012 1.4671003 7210.6600
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 1.0250101 2067.7448 12.949022 2000-2012 –> 2013-2019 2.0024851 5983.3969
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.0136504 2053.8751 12.476046 2000-2012 –> 2013-2019 1.9732336 5919.8749
Atlantic (28.1,28.15] cstar_tref ~ aou + phosphate + phosphate_star 1.0250134 2065.7493 12.951158 2000-2012 –> 2013-2019 2.0065851 5991.0955
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.0224393 2064.1688 12.892575 2000-2012 –> 2013-2019 1.9898715 5950.9456
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.8791221 1851.1125 7.088463 2000-2012 –> 2013-2019 1.6807887 5214.3737
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.0642945 2123.3010 5.814269 2000-2012 –> 2013-2019 2.0458888 6052.7114
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.9842579 2011.9735 8.051990 2000-2012 –> 2013-2019 1.8753623 5670.9643
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.8792018 1849.2415 7.100581 2000-2012 –> 2013-2019 1.6888190 5238.0959
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 1.0653280 2122.6831 5.942134 2000-2012 –> 2013-2019 2.0470957 6050.5874
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8779548 1849.2204 7.088283 2000-2012 –> 2013-2019 1.6723517 5187.0115
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 0.7128403 4361.8539 11.277834 1982-1999 –> 2000-2012 1.2735778 9176.1060
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.7064919 4327.8390 11.895695 1982-1999 –> 2000-2012 1.2578151 9047.3433
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.7770053 4708.8542 16.122287 1982-1999 –> 2000-2012 1.3657554 9801.6574
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 0.7725648 4683.7802 10.144436 1982-1999 –> 2000-2012 1.4056175 10189.1442
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate 0.7171910 4386.3515 7.021256 1982-1999 –> 2000-2012 1.3152397 9568.6954
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.6553990 4025.6171 7.324345 1982-1999 –> 2000-2012 1.1974894 8648.6209
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.6770043 4154.1936 6.501489 1982-1999 –> 2000-2012 1.2437371 9029.2149
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 0.7587494 4613.1336 8.276041 1982-1999 –> 2000-2012 1.3877901 10084.1700
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.6958794 4266.9036 8.208637 1982-1999 –> 2000-2012 1.2734871 9252.5307
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.6531656 4011.8744 7.988766 1982-1999 –> 2000-2012 1.1941366 8623.0669
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 0.8627185 2752.8618 10.431681 2000-2012 –> 2013-2019 1.5755588 7114.7157
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.8603287 2748.8812 10.768626 2000-2012 –> 2013-2019 1.5668206 7076.7202
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 0.8796573 2792.7830 8.993340 2000-2012 –> 2013-2019 1.6522222 7476.5631
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate 0.7789939 2532.7660 5.518327 2000-2012 –> 2013-2019 1.4961849 6919.1175
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.7371370 2415.6914 5.709911 2000-2012 –> 2013-2019 1.3925360 6441.3085
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.7438009 2433.0944 5.353850 2000-2012 –> 2013-2019 1.4208051 6587.2880
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 0.8313687 2673.0573 6.109030 2000-2012 –> 2013-2019 1.5901181 7286.1909
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.7683806 2505.1898 6.201869 2000-2012 –> 2013-2019 1.4642599 6772.0935
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.7354711 2410.8135 6.061562 2000-2012 –> 2013-2019 1.3886368 6422.6879
Atlantic (28.15,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 0.8489798 2720.2513 7.459510 2000-2012 –> 2013-2019 1.6462354 7534.6871
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.5723821 7289.3651 8.241024 1982-1999 –> 2000-2012 1.0948203 16438.0471
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.3566263 3287.5171 1.988203 1982-1999 –> 2000-2012 0.6691525 6334.2006
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 0.3429184 2958.3108 2.037539 1982-1999 –> 2000-2012 0.6478106 5713.4989
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.3391792 2867.6653 2.211193 1982-1999 –> 2000-2012 0.6440319 5623.3136
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.3501288 3134.1416 1.949898 1982-1999 –> 2000-2012 0.6565772 5949.7518
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.3534411 3213.7066 1.988553 1982-1999 –> 2000-2012 0.6596790 6021.1606
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.3255418 2520.8956 2.143799 1982-1999 –> 2000-2012 0.6303960 5276.6069
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.3490030 3108.9287 2.067840 1982-1999 –> 2000-2012 0.6550932 5912.6573
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 0.4544905 5338.5445 6.610757 1982-1999 –> 2000-2012 1.0146492 15312.5844
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 0.4540941 5333.1706 6.762120 1982-1999 –> 2000-2012 0.9727782 14396.2645
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.4264163 2726.2777 2.452673 2000-2012 –> 2013-2019 0.7830427 6013.7947
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 0.3950700 2362.2400 2.495027 2000-2012 –> 2013-2019 0.7379884 5320.5508
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.3783565 2157.0140 2.771724 2000-2012 –> 2013-2019 0.7175357 5024.6793
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.4135856 2581.8126 2.572196 2000-2012 –> 2013-2019 0.7637143 5715.9542
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.4165997 2616.6231 2.435991 2000-2012 –> 2013-2019 0.7700408 5830.3298
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.3619309 1944.2398 2.679695 2000-2012 –> 2013-2019 0.6874727 4465.1354
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.4134611 2582.3694 2.655486 2000-2012 –> 2013-2019 0.7624641 5691.2982
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 0.4582300 3073.2298 5.022195 2000-2012 –> 2013-2019 0.9127205 8411.7743
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 0.4576154 3068.7960 5.176931 2000-2012 –> 2013-2019 0.9117095 8401.9666
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 0.5986382 4354.6000 4.314619 2000-2012 –> 2013-2019 1.1608508 11490.4847
Indo-Pacific (-Inf,26] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 8.0134812 39338.7170 41.300851 1982-1999 –> 2000-2012 16.4151421 93873.7622
Indo-Pacific (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 7.5868039 38725.9406 30.139922 1982-1999 –> 2000-2012 15.5263186 92393.3935
Indo-Pacific (-Inf,26] cstar_tref ~ aou + phosphate + phosphate_star 8.1725070 39557.5093 38.821554 1982-1999 –> 2000-2012 16.7425958 94395.6289
Indo-Pacific (-Inf,26] cstar_tref ~ aou + silicate + phosphate + phosphate_star 7.7512816 38964.9280 27.540519 1982-1999 –> 2000-2012 15.8688523 92971.2688
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate 10.7918217 42683.2620 52.959987 1982-1999 –> 2000-2012 22.0603887 101730.7512
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5.9368924 35970.5975 33.206006 1982-1999 –> 2000-2012 12.1836597 85952.5079
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 10.7548891 42646.7434 50.465981 1982-1999 –> 2000-2012 21.9573818 101605.8439
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.2801597 36600.1682 29.818984 1982-1999 –> 2000-2012 12.8626803 87384.7542
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate 10.7571158 42647.0695 51.026169 1982-1999 –> 2000-2012 21.9612645 101606.4418
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.2388929 36528.0930 29.366420 1982-1999 –> 2000-2012 12.7725705 87200.2068
Indo-Pacific (-Inf,26] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 7.8810416 20675.5206 27.722523 2000-2012 –> 2013-2019 15.8945228 60014.2375
Indo-Pacific (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 7.3569720 20269.3299 24.883073 2000-2012 –> 2013-2019 14.9437759 58995.2706
Indo-Pacific (-Inf,26] cstar_tref ~ aou + phosphate + phosphate_star 8.0470208 20797.1545 26.424717 2000-2012 –> 2013-2019 16.2195278 60354.6638
Indo-Pacific (-Inf,26] cstar_tref ~ aou + silicate + phosphate + phosphate_star 7.5130530 20391.8631 24.524144 2000-2012 –> 2013-2019 15.2643345 59356.7912
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate 10.5230987 22390.5367 34.126186 2000-2012 –> 2013-2019 21.3149204 65073.7988
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5.6641426 18718.1540 28.268543 2000-2012 –> 2013-2019 11.6010350 54688.7514
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 10.4462462 22349.0550 33.918559 2000-2012 –> 2013-2019 21.2011353 64995.7984
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.9966384 19054.5361 24.645119 2000-2012 –> 2013-2019 12.2767981 55654.7043
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate 10.4467330 22347.3315 34.004344 2000-2012 –> 2013-2019 21.2038488 64994.4010
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.9243606 18984.6030 23.875073 2000-2012 –> 2013-2019 12.1632535 55512.6960
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 5.3917218 37096.2420 52.833725 1982-1999 –> 2000-2012 10.4753524 87916.5148
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7927579 35691.2601 49.303084 1982-1999 –> 2000-2012 9.3049181 84523.7332
Indo-Pacific (26,26.5] cstar_tref ~ aou + phosphate + phosphate_star 5.5927479 37531.6101 44.085155 1982-1999 –> 2000-2012 10.9516367 89229.7516
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.9432773 36058.7225 42.584321 1982-1999 –> 2000-2012 9.6357525 85543.0229
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate 6.7317035 39748.2613 55.334636 1982-1999 –> 2000-2012 13.1808101 94538.3993
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.8767970 35898.9480 54.008345 1982-1999 –> 2000-2012 9.3872260 84725.0178
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 6.2983374 38955.2111 52.892471 1982-1999 –> 2000-2012 12.3493006 92684.0480
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.0821327 36389.7116 45.752274 1982-1999 –> 2000-2012 9.8846246 86260.7052
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate 6.3014575 38959.1285 52.803670 1982-1999 –> 2000-2012 12.3563662 92696.8419
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5539940 35080.7012 44.753312 1982-1999 –> 2000-2012 8.8237082 82991.6211
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 5.3754850 19627.5807 51.289040 2000-2012 –> 2013-2019 10.7672068 56723.8227
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7101464 18793.7275 49.241906 2000-2012 –> 2013-2019 9.5029043 54484.9876
Indo-Pacific (26,26.5] cstar_tref ~ aou + phosphate + phosphate_star 5.6271933 19915.0711 40.252195 2000-2012 –> 2013-2019 11.2199413 57446.6812
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.9160569 19062.4030 39.841092 2000-2012 –> 2013-2019 9.8593342 55121.1254
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate 6.7629217 21080.0695 26.869664 2000-2012 –> 2013-2019 13.4946252 60828.3309
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.8681763 19002.4881 58.987633 2000-2012 –> 2013-2019 9.7449733 54901.4360
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 6.2576598 20590.8637 22.593750 2000-2012 –> 2013-2019 12.5559972 59546.0748
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.1348826 19337.9016 47.814448 2000-2012 –> 2013-2019 10.2170153 55727.6131
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate 6.2703895 20601.7193 22.631273 2000-2012 –> 2013-2019 12.5718470 59560.8478
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5800051 18616.4801 45.821666 2000-2012 –> 2013-2019 9.1339991 53697.1812
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.2811321 28645.8728 27.331522 1982-1999 –> 2000-2012 8.4032005 67972.0541
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1452590 28326.4474 26.493351 1982-1999 –> 2000-2012 8.1658465 67308.9901
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + phosphate + phosphate_star 4.5533671 29258.2718 20.560448 1982-1999 –> 2000-2012 8.8291570 69090.1397
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.2530081 28580.1873 22.088300 1982-1999 –> 2000-2012 8.3293645 67751.7414
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate 4.7646744 29712.3516 31.711140 1982-1999 –> 2000-2012 9.3956448 70652.6926
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.1485137 28334.2691 24.516618 1982-1999 –> 2000-2012 8.0907516 67043.9366
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.7046599 29588.0254 31.401134 1982-1999 –> 2000-2012 9.2963666 70412.3023
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3778171 28868.4409 17.580971 1982-1999 –> 2000-2012 8.4344625 67972.7841
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 4.7904695 29766.1604 31.618768 1982-1999 –> 2000-2012 9.4237878 70713.5296
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0892195 28190.7985 20.072352 1982-1999 –> 2000-2012 7.9721607 66690.3175
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.5593353 15861.1509 30.470043 2000-2012 –> 2013-2019 8.8404674 44507.0236
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.4130876 15687.1638 29.962138 2000-2012 –> 2013-2019 8.5583466 44013.6111
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + phosphate + phosphate_star 4.9188516 16268.8496 24.629168 2000-2012 –> 2013-2019 9.4722187 45527.1213
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5664310 15869.5452 24.381318 2000-2012 –> 2013-2019 8.8194391 44449.7325
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate 5.1107789 16477.4673 36.836937 2000-2012 –> 2013-2019 9.8754533 46189.8189
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.4410346 15721.2402 29.427373 2000-2012 –> 2013-2019 8.5895482 44055.5092
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5.0351618 16399.0038 36.507332 2000-2012 –> 2013-2019 9.7398216 45987.0292
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.7452825 16076.9312 20.815315 2000-2012 –> 2013-2019 9.1230996 44945.3721
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 5.1514754 16520.2807 36.539159 2000-2012 –> 2013-2019 9.9419449 46286.4411
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4241171 15700.6380 23.915080 2000-2012 –> 2013-2019 8.5133365 43891.4365
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.6399830 36253.2761 21.107104 1982-1999 –> 2000-2012 8.7548163 84973.7748
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.5564211 36032.2906 19.488465 1982-1999 –> 2000-2012 8.6082499 84489.5474
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 4.6964246 36399.6301 19.956325 1982-1999 –> 2000-2012 8.8547652 85298.9295
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.6600497 36306.2261 18.631871 1982-1999 –> 2000-2012 8.7902595 85090.8415
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate 5.4028556 38120.9779 26.278758 1982-1999 –> 2000-2012 10.3626443 90051.9635
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.4376747 35708.2772 22.648458 1982-1999 –> 2000-2012 8.2591672 83159.4503
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5.2070832 37670.1194 23.954539 1982-1999 –> 2000-2012 9.9886512 88974.0438
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.4690269 35792.6601 21.903442 1982-1999 –> 2000-2012 8.3066735 83314.3453
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 5.3239132 37940.3753 26.164674 1982-1999 –> 2000-2012 10.1907916 89546.2913
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4299290 35686.8420 20.567849 1982-1999 –> 2000-2012 8.2355276 83066.3715
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.9884079 19850.8187 23.486572 2000-2012 –> 2013-2019 9.6283909 56104.0949
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.9202816 19762.6670 21.922013 2000-2012 –> 2013-2019 9.4767028 55794.9576
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 5.0571210 19938.5085 21.624849 2000-2012 –> 2013-2019 9.7535456 56338.1386
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.0323654 19908.3367 20.355745 2000-2012 –> 2013-2019 9.6924151 56214.5628
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate 5.7647267 20799.0848 19.622062 2000-2012 –> 2013-2019 11.1675823 58920.0627
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.8175471 19624.3297 23.952419 2000-2012 –> 2013-2019 9.2552218 55332.6069
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5.5956075 20605.8744 18.516368 2000-2012 –> 2013-2019 10.8026907 58275.9938
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.8557206 19674.0738 23.134484 2000-2012 –> 2013-2019 9.3247475 55466.7339
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 5.7166755 20744.2090 17.949660 2000-2012 –> 2013-2019 11.0405887 58684.5843
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.8272468 19637.5164 21.530173 2000-2012 –> 2013-2019 9.2571758 55324.3583
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.5021189 45466.3710 65.632305 1982-1999 –> 2000-2012 8.2617821 104244.6564
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.9305914 43357.6017 50.351419 1982-1999 –> 2000-2012 7.2203802 99277.9211
Indo-Pacific (27,27.25] cstar_tref ~ aou + phosphate + phosphate_star 4.8181808 46519.2759 56.606395 1982-1999 –> 2000-2012 8.8470371 106776.9600
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.4247843 45196.9766 41.955348 1982-1999 –> 2000-2012 8.1249236 103633.3899
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.4187381 45177.7169 67.557009 1982-1999 –> 2000-2012 8.0709264 103336.7029
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.3956602 45096.3008 34.587443 1982-1999 –> 2000-2012 8.1982396 104119.7310
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.7207687 46203.7115 59.058113 1982-1999 –> 2000-2012 8.6211002 105768.8735
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 4.7724806 46373.1003 28.177801 1982-1999 –> 2000-2012 8.8711472 107000.7964
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3779276 45033.4517 44.485161 1982-1999 –> 2000-2012 7.9995288 103012.2726
Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4.7495721 46300.2883 24.181664 1982-1999 –> 2000-2012 8.9823264 107619.5843
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 5.6715624 26275.5608 57.287671 2000-2012 –> 2013-2019 10.1736813 71741.9318
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7950276 24879.7489 41.816601 2000-2012 –> 2013-2019 8.7256190 68237.3506
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.1723556 25508.4330 36.033755 2000-2012 –> 2013-2019 9.5971399 70705.4095
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5.5716101 26129.5199 59.502413 2000-2012 –> 2013-2019 9.9903483 71307.2368
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5.1075748 25405.4960 30.615279 2000-2012 –> 2013-2019 9.5032349 70501.7967
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5.6084222 26184.3495 19.877879 2000-2012 –> 2013-2019 10.6087885 73284.6856
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.7045985 26323.9179 54.516444 2000-2012 –> 2013-2019 10.4253672 72527.6294
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 5.4320894 25916.3705 25.868863 2000-2012 –> 2013-2019 10.2045700 72289.4708
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.1179855 25422.4495 38.508960 2000-2012 –> 2013-2019 9.4959131 70455.9013
Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 5.3329658 25765.0363 23.274900 2000-2012 –> 2013-2019 10.0825380 72065.3245
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate 3.5846172 39642.5676 35.210305 1982-1999 –> 2000-2012 6.5889632 89349.3686
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.5442854 39478.2124 33.119042 1982-1999 –> 2000-2012 6.5214925 89007.9965
Indo-Pacific (27.25,27.5] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 3.6611284 39953.0695 36.743151 1982-1999 –> 2000-2012 6.8014813 90533.3335
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.3889124 38819.1582 31.254342 1982-1999 –> 2000-2012 6.2605296 87636.5589
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.3410751 38610.1487 32.628605 1982-1999 –> 2000-2012 6.1643125 87092.3486
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.7883105 40455.1240 30.730003 1982-1999 –> 2000-2012 6.8816109 90737.5631
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6005006 39709.5681 33.071824 1982-1999 –> 2000-2012 6.5718587 89200.5563
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.6276227 39817.9010 32.134599 1982-1999 –> 2000-2012 6.6005742 89317.4660
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.3436439 38621.4480 32.021059 1982-1999 –> 2000-2012 6.1620863 87070.1131
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.6841067 40045.0553 31.160905 1982-1999 –> 2000-2012 6.6782498 89684.7454
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate 4.1761961 22280.3169 34.190224 2000-2012 –> 2013-2019 7.7608133 61922.8845
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1080923 22153.7731 31.032474 2000-2012 –> 2013-2019 7.6523777 61631.9855
Indo-Pacific (27.25,27.5] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 4.2442517 22406.6927 35.567711 2000-2012 –> 2013-2019 7.9053801 62359.7622
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.9123560 21772.1059 30.927140 2000-2012 –> 2013-2019 7.3012683 60591.2641
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.8645078 21675.9023 31.423341 2000-2012 –> 2013-2019 7.2055829 60286.0510
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 4.3920697 22674.3423 29.076246 2000-2012 –> 2013-2019 8.1803801 63129.4663
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.1766045 22283.0815 32.589678 2000-2012 –> 2013-2019 7.7771051 61992.6496
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 4.2181404 22358.4466 30.995118 2000-2012 –> 2013-2019 7.8457631 62176.3477
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.8703544 21687.7212 30.480276 2000-2012 –> 2013-2019 7.2139983 60309.1692
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.2938391 22497.5043 29.598350 2000-2012 –> 2013-2019 7.9779458 62542.5596
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.4751473 41549.4015 12.751786 1982-1999 –> 2000-2012 5.9758028 91715.7444
Indo-Pacific (27.5,27.75] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 3.4833700 41584.2410 16.063873 1982-1999 –> 2000-2012 5.9888367 91789.8604
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.3325033 40896.0598 30.066609 1982-1999 –> 2000-2012 5.6782594 89689.2459
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.1665684 40099.8982 25.053065 1982-1999 –> 2000-2012 5.4126159 87960.3441
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 3.5328728 41804.2060 27.969728 1982-1999 –> 2000-2012 5.9840627 91539.5128
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1083250 39810.5151 10.089971 1982-1999 –> 2000-2012 5.3835324 87947.9588
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.2953018 40719.0689 23.187702 1982-1999 –> 2000-2012 5.5939901 89074.9955
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.2030143 40278.2850 27.492704 1982-1999 –> 2000-2012 5.4567943 88212.5332
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.2954563 40719.7999 30.456038 1982-1999 –> 2000-2012 5.6083801 89208.3020
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.3685543 41061.7850 26.570147 1982-1999 –> 2000-2012 5.6872759 89604.0491
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1128492 23409.3646 13.800794 2000-2012 –> 2013-2019 7.5879966 64958.7661
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.0269443 23235.0533 18.132574 2000-2012 –> 2013-2019 7.4566427 64579.2458
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.0079245 23195.9573 31.656690 2000-2012 –> 2013-2019 7.3404278 64092.0171
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.8192180 22797.6918 27.801018 2000-2012 –> 2013-2019 6.9857864 62897.5899
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.0271627 23233.5010 18.466600 2000-2012 –> 2013-2019 7.4571251 64576.8934
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6620606 22450.6932 12.124587 2000-2012 –> 2013-2019 6.7703856 62261.2083
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 4.0025664 23182.9098 26.067115 2000-2012 –> 2013-2019 7.2978682 63901.9787
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.8818899 22932.1024 31.052591 2000-2012 –> 2013-2019 7.0849041 63210.3874
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 4.0348535 23249.2565 35.011617 2000-2012 –> 2013-2019 7.3303098 63969.0564
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.1229178 23427.5561 30.585387 2000-2012 –> 2013-2019 7.4914721 64489.3411
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.6504485 15740.3948 24.213892 1982-1999 –> 2000-2012 4.7358147 34954.1082
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6639007 15771.6562 22.864245 1982-1999 –> 2000-2012 4.7506750 34989.3863
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.6667724 15780.7349 24.259656 1982-1999 –> 2000-2012 4.8048345 35216.9001
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.6510254 15741.8247 24.191515 1982-1999 –> 2000-2012 4.8057542 35247.2076
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2.6745231 15797.8022 23.410175 1982-1999 –> 2000-2012 4.8141268 35238.3925
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6510177 15741.8056 24.056369 1982-1999 –> 2000-2012 4.7356239 34952.2697
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 2.6631230 15769.7380 22.976967 1982-1999 –> 2000-2012 4.8257023 35305.5384
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.6506622 15740.9246 23.873085 1982-1999 –> 2000-2012 4.8125517 35275.8816
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.6510327 15739.8427 24.146895 1982-1999 –> 2000-2012 4.8134036 35274.7846
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.6594156 15760.5852 22.987839 1982-1999 –> 2000-2012 4.8228648 35299.9709
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.1247872 9382.5119 28.702969 2000-2012 –> 2013-2019 5.7752357 25122.9067
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.0936033 9345.7832 29.853716 2000-2012 –> 2013-2019 5.7603757 25126.5181
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.0795402 9329.0983 30.362926 2000-2012 –> 2013-2019 5.7305656 25070.9231
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 3.1167043 9371.0272 28.094421 2000-2012 –> 2013-2019 5.7912275 25168.8294
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1032714 9357.2099 28.842289 2000-2012 –> 2013-2019 5.7542891 25099.0156
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 3.1060870 9358.5309 28.182934 2000-2012 –> 2013-2019 5.7692100 25128.2689
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.0804742 9330.2088 30.042474 2000-2012 –> 2013-2019 5.7311364 25071.1335
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.0828431 9331.0238 29.216505 2000-2012 –> 2013-2019 5.7338757 25070.8666
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.1047580 9356.9638 28.278040 2000-2012 –> 2013-2019 5.7641736 25117.5490
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate_star 3.1137279 9365.5283 29.491419 2000-2012 –> 2013-2019 5.7881837 25161.1651
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2.7317430 19630.8718 30.448131 1982-1999 –> 2000-2012 4.8397490 43766.0770
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.7317138 19632.7852 30.486796 1982-1999 –> 2000-2012 4.8293185 43714.8680
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 2.7844532 19783.5613 35.931948 1982-1999 –> 2000-2012 4.9241993 44083.3104
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.7768689 19763.4849 35.768682 1982-1999 –> 2000-2012 4.8904390 43928.0663
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.7303819 19628.8379 30.684630 1982-1999 –> 2000-2012 4.8383878 43766.0425
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.8514804 19980.0916 30.267019 1982-1999 –> 2000-2012 5.0920750 44797.0677
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.8417178 19952.3327 31.631341 1982-1999 –> 2000-2012 5.1109687 44910.9321
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.7840796 19784.4754 36.091427 1982-1999 –> 2000-2012 4.9237602 44085.8833
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7754984 19761.4892 36.065886 1982-1999 –> 2000-2012 4.8884009 43924.5497
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.8184654 19885.8311 29.376859 1982-1999 –> 2000-2012 5.0853662 44832.8835
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.1010959 10939.1735 36.520392 2000-2012 –> 2013-2019 5.8328389 30570.0453
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.0878252 10922.8015 35.774533 2000-2012 –> 2013-2019 5.8195390 30555.5866
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 3.1088152 10947.8241 38.686221 2000-2012 –> 2013-2019 5.8932684 30731.3854
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.1026577 10941.3306 38.862065 2000-2012 –> 2013-2019 5.8795266 30704.8155
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.0796600 10911.4581 37.635204 2000-2012 –> 2013-2019 5.8100419 30540.2960
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.1277984 10977.9037 36.970238 2000-2012 –> 2013-2019 5.9695162 30930.2364
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.0890675 10922.5246 39.968381 2000-2012 –> 2013-2019 5.8731471 30707.0000
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0857785 10919.9609 40.015260 2000-2012 –> 2013-2019 5.8612769 30681.4501
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 3.1299521 10978.8525 35.780847 2000-2012 –> 2013-2019 5.9532638 30876.5891
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.1266682 10976.3555 35.268806 2000-2012 –> 2013-2019 5.9451337 30862.1866
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.2967035 18017.3069 8.228265 1982-1999 –> 2000-2012 4.2849991 41700.9662
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.3120843 18068.7036 8.353671 1982-1999 –> 2000-2012 4.3016399 41757.4817
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.2515391 17858.4206 7.827462 1982-1999 –> 2000-2012 4.3325532 42054.2800
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 2.2544478 17866.7489 7.902572 1982-1999 –> 2000-2012 4.3575547 42179.2859
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.3156275 18082.9540 9.250143 1982-1999 –> 2000-2012 4.3721794 42145.9286
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2143379 17725.1356 8.493771 1982-1999 –> 2000-2012 4.2244267 41531.3014
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2539713 17867.0577 8.649145 1982-1999 –> 2000-2012 4.2188053 41417.3211
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 2.3336164 18142.8616 9.492941 1982-1999 –> 2000-2012 4.3917778 42212.6281
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.2908262 17996.8084 9.015822 1982-1999 –> 2000-2012 4.3480517 42063.4637
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.3260818 18116.9900 9.327465 1982-1999 –> 2000-2012 4.3844890 42188.0985
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.5138068 10364.7380 8.427975 2000-2012 –> 2013-2019 4.8105103 28382.0449
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.5377646 10404.6824 9.229857 2000-2012 –> 2013-2019 4.8498490 28473.3861
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.4018705 10163.3140 8.344860 2000-2012 –> 2013-2019 4.6534096 28021.7346
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 2.4029551 10163.3105 8.501463 2000-2012 –> 2013-2019 4.6574030 28030.0593
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.5226197 10380.2136 9.649421 2000-2012 –> 2013-2019 4.8382472 28463.1676
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.3842351 10130.7263 8.366988 2000-2012 –> 2013-2019 4.5985730 27855.8620
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.4946372 10328.8879 9.144701 2000-2012 –> 2013-2019 4.8091599 28406.0241
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4636685 10275.6491 8.995974 2000-2012 –> 2013-2019 4.7176398 28142.7068
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 2.4900793 10320.8011 9.591560 2000-2012 –> 2013-2019 4.8209676 28454.3050
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.4762548 10298.1827 9.333063 2000-2012 –> 2013-2019 4.7670810 28294.9911
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.9334638 10741.9349 9.563586 1982-1999 –> 2000-2012 3.5765415 25172.0608
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.9234545 10715.1425 8.622689 1982-1999 –> 2000-2012 3.5435724 25039.3611
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.9269949 10724.6353 8.965614 1982-1999 –> 2000-2012 3.5762170 25182.8526
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.9234948 10713.2506 8.647099 1982-1999 –> 2000-2012 3.5598308 25110.4332
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8928438 10632.3315 8.764850 1982-1999 –> 2000-2012 3.5243069 25009.0683
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 1.9323668 10737.0055 8.825899 1982-1999 –> 2000-2012 3.5832870 25200.9675
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate 1.9284336 10726.4877 8.692024 1982-1999 –> 2000-2012 3.5588480 25096.3855
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.9170418 10697.9040 8.591907 1982-1999 –> 2000-2012 3.5417232 25043.2913
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1.9270503 10722.7836 8.984059 1982-1999 –> 2000-2012 3.5873970 25229.5958
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.9179397 10698.3211 8.633406 1982-1999 –> 2000-2012 3.5605064 25124.1057
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 2.0918415 6340.5890 8.709518 2000-2012 –> 2013-2019 4.0191392 17064.0355
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.0846631 6332.5033 8.490358 2000-2012 –> 2013-2019 4.0081176 17047.6458
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.0709455 6313.1331 8.713211 2000-2012 –> 2013-2019 3.9979404 17037.7684
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate 2.0924681 6339.4678 8.681398 2000-2012 –> 2013-2019 4.0317597 17092.9385
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 2.0892046 6336.8882 8.651078 2000-2012 –> 2013-2019 4.0126993 17050.1388
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0594409 6296.7886 8.802893 2000-2012 –> 2013-2019 3.9522847 16929.1201
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 2.0838357 6329.3386 8.650974 2000-2012 –> 2013-2019 4.0162026 17066.3441
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.0711088 6313.3645 8.505515 2000-2012 –> 2013-2019 3.9881507 17011.2686
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.0718737 6312.4479 8.608198 2000-2012 –> 2013-2019 3.9989240 17035.2315
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.0728445 6313.8223 8.661407 2000-2012 –> 2013-2019 3.9907842 17012.1434
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate 1.5361773 73634.6174 8.733378 1982-1999 –> 2000-2012 2.8079755 165389.8842
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.5089135 72923.3001 10.415983 1982-1999 –> 2000-2012 2.7513833 163390.6644
Indo-Pacific (28.1, Inf] cstar_tref ~ nitrate + silicate + phosphate 1.5961189 75157.3811 9.143924 1982-1999 –> 2000-2012 3.1224154 176995.8641
Indo-Pacific (28.1, Inf] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 1.5550775 74121.7200 8.868303 1982-1999 –> 2000-2012 2.8739942 167888.3025
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.3948961 69793.5465 10.490447 1982-1999 –> 2000-2012 2.5772322 157518.1298
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.6396635 76233.5531 7.832848 1982-1999 –> 2000-2012 3.1325623 176852.8215
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.5851502 74884.6921 12.511212 1982-1999 –> 2000-2012 2.9820417 171826.9471
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5311977 73507.2840 14.214366 1982-1999 –> 2000-2012 2.8643992 167871.4547
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate 1.5888425 74977.3689 8.394851 1982-1999 –> 2000-2012 3.0907441 175927.0445
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.4354153 70934.1635 8.449386 1982-1999 –> 2000-2012 2.6823797 161601.1701
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate 1.7983308 42968.1584 20.366211 2000-2012 –> 2013-2019 3.3345082 116602.7758
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.7716198 42649.6756 20.936949 2000-2012 –> 2013-2019 3.2805333 115572.9757
Indo-Pacific (28.1, Inf] cstar_tref ~ nitrate + silicate + phosphate 1.7986471 42969.9248 20.182997 2000-2012 –> 2013-2019 3.3947661 118127.3058
Indo-Pacific (28.1, Inf] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 1.7982580 42967.2911 20.000847 2000-2012 –> 2013-2019 3.3533355 117089.0111
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.6072486 40564.3886 17.629482 2000-2012 –> 2013-2019 3.0021447 110357.9351
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.7989953 42978.0695 14.155567 2000-2012 –> 2013-2019 3.4386588 119211.6226
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.7754628 42694.0808 15.096407 2000-2012 –> 2013-2019 3.3606130 117578.7729
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7314864 42158.9485 16.581456 2000-2012 –> 2013-2019 3.2626842 115666.2325
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate 1.7142796 41943.0602 16.783217 2000-2012 –> 2013-2019 3.3031221 116920.4291
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.6318563 40889.7931 17.025774 2000-2012 –> 2013-2019 3.0672716 111823.9566

5.3 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.4 Cant coeffcients

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

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

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

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

5.5 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 5).

6.1.1 All models

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

Version Author Date
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
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
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
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 7 6 5 10 10 5
(26,26.5] 10 8 7 7 6 7
(26.5,26.75] 8 5 8 8 8 9
(26.75,27] 7 5 7 8 8 10
(27,27.25] 7 5 7 8 8 10
(27.25,27.5] 10 7 7 7 7 7
(27.5,27.75] 10 6 8 5 9 6
(27.75,27.85] 10 6 8 6 8 7
(27.85,27.95] 10 6 8 9 5 6
(27.95,28.05] 7 8 10 7 8 5
(28.05,28.1] 10 5 10 7 6 5
(28.1,28.15] 10 5 9 8 6 6
(28.15,28.2] 10 10 5 6 7 5
(28.2, Inf] 8 10 6 6 9 5
total 124.00 92.00 105.00 102.00 105.00 93.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 7 6 5 10 10 5
(26,26.5] 10 8 7 7 6 7
(26.5,26.75] 9 6 8 8 7 8
(26.75,27] 7 5 7 8 8 10
(27,27.25] 7 6 6 7 9 10
(27.25,27.5] 10 8 7 6 7 7
(27.5,27.75] 8 6 9 6 10 5
(27.75,27.85] 8 7 8 6 10 6
(27.85,27.95] 10 6 9 8 6 5
(27.95,28.05] 7 8 10 7 8 5
(28.05,28.1] 9 6 10 8 6 5
(28.1,28.15] 10 5 9 8 6 6
(28.15,28.2] 9 10 6 6 8 5
(28.2, Inf] 7 10 5 6 10 5
total 118.00 97.00 106.00 101.00 111.00 89.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 10 5 10 7 6 5
(26,26.5] 10 5 10 7 6 5
(26.5,26.75] 10 5 10 7 6 5
(26.75,27] 10 5 10 7 6 5
(27,27.25] 9 5 10 8 6 6
(27.25,27.5] 7 6 8 7 7 10
(27.5,27.75] 6 6 7 8 8 10
(27.75,27.85] 7 5 7 8 8 10
(27.85,27.95] 9 6 9 9 6 6
(27.95,28.05] 7 8 7 8 8 8
(28.05,28.1] 6 6 7 7 9 10
(28.1, Inf] 6 8 9 5 6 10
total 97.00 70.00 104.00 88.00 82.00 90.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 10 5 10 7 6 5
(26,26.5] 10 5 10 7 6 5
(26.5,26.75] 10 5 10 7 6 5
(26.75,27] 10 5 10 7 6 5
(27,27.25] 9 6 9 8 7 7
(27.25,27.5] 7 6 8 7 7 10
(27.5,27.75] 7 6 7 9 9 8
(27.75,27.85] 6 5 6 8 9 10
(27.85,27.95] 8 6 9 10 6 5
(27.95,28.05] 8 7 8 9 8 6
(28.05,28.1] 7 5 5 6 10 10
(28.1, Inf] 6 8 9 5 6 10
total 98.00 69.00 101.00 90.00 86.00 86.00

6.4 RMSE alternatives

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

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

Version Author Date
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
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.3      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

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