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1 Required data

Required are:

  • cleaned and prepared GLODAPv2_2020 file
GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

  • sal, temp, aou, silicate, nitrate
# 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)

# extract diagnostics of each linear model
lm_all <- as_tibble(lm_all$result)

# 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:

  • 26

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 adjecent 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 ~ aou + silicate + nitrate 5.354713 332.0792 15.480390 1982-1999 –> 2000-2012 12.623216 791.2078
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate 5.441757 333.7562 16.640868 1982-1999 –> 2000-2012 12.208360 783.4400
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + nitrate 5.340728 333.8073 15.763877 1982-1999 –> 2000-2012 12.107026 785.4851
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou 4.936936 323.6311 11.490212 1982-1999 –> 2000-2012 11.704692 773.3373
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 4.254323 310.1549 9.143707 1982-1999 –> 2000-2012 10.130182 743.2073
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate 4.879310 324.4100 11.504854 1982-1999 –> 2000-2012 11.376632 770.7334
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + nitrate 4.076410 307.7122 9.197467 1982-1999 –> 2000-2012 9.945352 742.6090
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + nitrate 5.676702 340.1521 14.633536 1982-1999 –> 2000-2012 13.183856 805.5451
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate 4.932101 323.5292 13.093613 1982-1999 –> 2000-2012 12.506070 788.0917
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + nitrate 4.931815 325.5231 13.117135 1982-1999 –> 2000-2012 12.173835 786.1699
Atlantic (-Inf,26] cstar_tref ~ aou + silicate + nitrate 3.931799 361.2925 12.237233 2000-2012 –> 2013-2019 9.286513 693.3717
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate 4.108624 366.8354 12.488234 2000-2012 –> 2013-2019 9.550382 700.5916
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + nitrate 3.842015 360.3819 11.990317 2000-2012 –> 2013-2019 9.182743 694.1891
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou 4.100349 366.5813 12.659406 2000-2012 –> 2013-2019 9.037285 690.2124
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 3.803369 359.1080 12.112883 2000-2012 –> 2013-2019 8.057692 669.2630
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate 3.922117 362.9818 12.225468 2000-2012 –> 2013-2019 8.801427 687.3918
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.743783 359.1184 11.947074 2000-2012 –> 2013-2019 7.820193 666.8306
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + nitrate 4.034775 366.5500 13.073589 2000-2012 –> 2013-2019 9.711478 706.7022
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate 4.095237 366.4242 12.432386 2000-2012 –> 2013-2019 9.027338 689.9533
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + nitrate 3.806353 359.2068 11.941978 2000-2012 –> 2013-2019 8.738168 684.7300
Atlantic (26,26.5] cstar_tref ~ aou + silicate + nitrate 5.867559 3765.9084 28.515788 1982-1999 –> 2000-2012 12.843426 6659.9854
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate 5.987180 3789.6826 29.976704 1982-1999 –> 2000-2012 12.082483 6567.9827
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate 6.636058 3910.8959 30.591647 1982-1999 –> 2000-2012 12.826217 6702.4455
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + nitrate 5.814093 3757.1251 29.315690 1982-1999 –> 2000-2012 11.792137 6520.7585
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 5.191137 3623.6200 33.648433 1982-1999 –> 2000-2012 10.784501 6330.1856
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate 6.620526 3910.1356 29.955416 1982-1999 –> 2000-2012 12.797960 6701.9196
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.189517 3625.2522 33.503391 1982-1999 –> 2000-2012 10.752163 6329.0930
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate 6.238939 3838.2040 28.520787 1982-1999 –> 2000-2012 13.260016 6737.8237
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate 6.642366 3912.0151 29.064553 1982-1999 –> 2000-2012 13.271628 6762.3658
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + nitrate 5.863595 3767.1124 28.437516 1982-1999 –> 2000-2012 12.408431 6608.4659
Atlantic (26,26.5] cstar_tref ~ aou + nitrate 4.306982 969.6448 20.843052 2000-2012 –> 2013-2019 10.573448 4811.0348
Atlantic (26,26.5] cstar_tref ~ aou + silicate + nitrate 4.077229 953.3350 18.553017 2000-2012 –> 2013-2019 9.944788 4719.2434
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate 4.296622 970.8404 18.919096 2000-2012 –> 2013-2019 10.283803 4760.5231
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate 4.217686 964.6472 14.907787 2000-2012 –> 2013-2019 10.853744 4875.5432
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + nitrate 4.076280 955.2572 19.101304 2000-2012 –> 2013-2019 9.890373 4712.3823
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.345010 889.2203 11.629193 2000-2012 –> 2013-2019 8.536147 4512.8404
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate 3.899847 940.4785 12.377472 2000-2012 –> 2013-2019 10.520373 4850.6141
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.339086 890.6283 11.662211 2000-2012 –> 2013-2019 8.528603 4515.8805
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate 4.136535 958.1582 23.417336 2000-2012 –> 2013-2019 10.375474 4796.3622
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + nitrate 3.893975 939.9752 21.133745 2000-2012 –> 2013-2019 9.757570 4707.0876
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate 5.157220 4788.6831 29.949014 1982-1999 –> 2000-2012 10.686812 8897.7420
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate 5.374723 4853.2085 37.793503 1982-1999 –> 2000-2012 10.823340 8942.9419
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + nitrate 5.081106 4767.4582 29.615868 1982-1999 –> 2000-2012 10.472037 8845.2485
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate 4.607387 4614.5883 23.371765 1982-1999 –> 2000-2012 9.661011 8607.7360
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate 5.296423 4832.2854 35.977884 1982-1999 –> 2000-2012 10.579507 8883.6031
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + nitrate 4.570370 4603.9879 25.103423 1982-1999 –> 2000-2012 9.474103 8559.6932
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate 5.517411 4894.1355 39.981062 1982-1999 –> 2000-2012 11.076023 9010.0515
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate 5.475469 4882.2162 40.015717 1982-1999 –> 2000-2012 11.026751 8996.4034
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + nitrate 5.475067 4884.1014 40.042668 1982-1999 –> 2000-2012 10.945489 8981.0669
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + nitrate 5.287272 4829.5843 27.335960 1982-1999 –> 2000-2012 11.047572 8994.1902
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate 3.889270 1393.0257 18.205860 2000-2012 –> 2013-2019 9.046489 6181.7087
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate 3.964411 1402.5554 24.874959 2000-2012 –> 2013-2019 9.339135 6255.7639
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + nitrate 3.783802 1381.3345 17.830922 2000-2012 –> 2013-2019 8.864908 6148.7927
Atlantic (26.5,26.75] cstar_tref ~ sal + silicate + nitrate 4.109526 1420.4586 31.288880 2000-2012 –> 2013-2019 9.637230 6317.5052
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate 3.720083 1372.8768 16.114468 2000-2012 –> 2013-2019 8.327469 5987.4651
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate 3.957980 1403.7468 24.151111 2000-2012 –> 2013-2019 9.254402 6236.0322
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.621622 1361.5186 15.445282 2000-2012 –> 2013-2019 8.191992 5965.5065
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate 4.111686 1420.7203 31.815027 2000-2012 –> 2013-2019 9.587155 6302.9365
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + nitrate 4.105028 1421.9132 31.434035 2000-2012 –> 2013-2019 9.580095 6306.0147
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + nitrate 4.241522 1438.2026 19.642542 2000-2012 –> 2013-2019 9.528793 6267.7869
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate 5.829124 5489.0688 38.214951 1982-1999 –> 2000-2012 11.906347 10314.9573
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate 5.893355 5507.9394 32.122802 1982-1999 –> 2000-2012 11.977689 10335.5753
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + nitrate 5.652625 5438.1229 36.681449 1982-1999 –> 2000-2012 11.644522 10244.8868
Atlantic (26.75,27] cstar_tref ~ sal + silicate 5.907143 5509.9638 32.786084 1982-1999 –> 2000-2012 12.204621 10387.0409
Atlantic (26.75,27] cstar_tref ~ sal + silicate + nitrate 5.901878 5510.4280 33.421376 1982-1999 –> 2000-2012 12.114663 10369.2765
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate 5.667027 5442.5048 39.507883 1982-1999 –> 2000-2012 11.566061 10225.9330
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate 5.861398 5500.5764 31.391647 1982-1999 –> 2000-2012 11.904961 10320.1673
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.269898 5319.3952 37.882364 1982-1999 –> 2000-2012 10.964886 10052.2316
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate 5.890454 5507.0917 32.529712 1982-1999 –> 2000-2012 12.187593 10386.0884
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + nitrate 5.886768 5508.0139 33.074302 1982-1999 –> 2000-2012 12.099038 10368.7384
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate 5.614781 2720.4221 37.338729 2000-2012 –> 2013-2019 11.443906 8209.4909
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate 5.430828 2691.7080 44.101067 2000-2012 –> 2013-2019 11.324183 8199.6474
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + nitrate 5.245565 2663.7890 33.538645 2000-2012 –> 2013-2019 10.898190 8101.9119
Atlantic (26.75,27] cstar_tref ~ sal + silicate 5.595418 2715.4443 47.931047 2000-2012 –> 2013-2019 11.502562 8225.4080
Atlantic (26.75,27] cstar_tref ~ sal + silicate + nitrate 5.554126 2711.0595 48.182348 2000-2012 –> 2013-2019 11.456004 8221.4875
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate 5.567134 2715.0760 32.309308 2000-2012 –> 2013-2019 11.234162 8157.5808
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate 5.408800 2690.2045 43.222033 2000-2012 –> 2013-2019 11.270197 8190.7809
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + nitrate 4.919964 2610.5507 17.789208 2000-2012 –> 2013-2019 10.189863 7929.9460
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate 5.594496 2717.3022 47.980502 2000-2012 –> 2013-2019 11.484950 8224.3939
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + nitrate 5.554123 2713.0589 48.185191 2000-2012 –> 2013-2019 11.440891 8221.0728
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate 7.571675 8019.2389 36.285504 1982-1999 –> 2000-2012 14.426358 16087.9670
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate 8.547724 8301.2678 69.049704 1982-1999 –> 2000-2012 15.187772 16293.3269
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + nitrate 7.331951 7946.4051 33.834456 1982-1999 –> 2000-2012 13.952116 15933.2369
Atlantic (27,27.25] cstar_tref ~ sal + nitrate 8.336538 8241.0784 60.793406 1982-1999 –> 2000-2012 15.259485 16331.6884
Atlantic (27,27.25] cstar_tref ~ sal + silicate + nitrate 8.234218 8214.3531 61.943270 1982-1999 –> 2000-2012 14.911494 16219.8862
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate 7.412262 7971.7445 39.050616 1982-1999 –> 2000-2012 14.241398 16033.4740
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate 8.533742 8299.4600 68.282402 1982-1999 –> 2000-2012 15.113042 16271.3693
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + nitrate 6.864147 7795.0520 38.497338 1982-1999 –> 2000-2012 13.226003 15687.9658
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate 8.323501 8239.4380 60.696983 1982-1999 –> 2000-2012 15.237446 16328.9123
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + nitrate 8.233406 8216.1237 61.889485 1982-1999 –> 2000-2012 14.899276 16219.5366
Atlantic (27,27.25] cstar_tref ~ aou + silicate + nitrate 6.785691 4997.2970 39.509832 2000-2012 –> 2013-2019 14.464564 13049.2358
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate 6.814891 5003.7207 38.040717 2000-2012 –> 2013-2019 14.386567 13022.9596
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate 6.140352 4847.7956 45.187934 2000-2012 –> 2013-2019 14.688076 13149.0635
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + nitrate 5.873811 4783.4055 36.247608 2000-2012 –> 2013-2019 13.205762 12729.8106
Atlantic (27,27.25] cstar_tref ~ sal + silicate + nitrate 6.178874 4857.1516 46.509426 2000-2012 –> 2013-2019 14.413092 13071.5047
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate 6.809386 5004.5119 37.488166 2000-2012 –> 2013-2019 14.221648 12976.2563
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate 6.137121 4849.0082 44.725103 2000-2012 –> 2013-2019 14.670863 13148.4682
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.704792 4741.7266 39.036779 2000-2012 –> 2013-2019 12.568939 12536.7787
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + nitrate 6.177085 4858.7183 46.638372 2000-2012 –> 2013-2019 14.410491 13074.8420
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + nitrate 6.677813 4975.3227 37.666784 2000-2012 –> 2013-2019 14.355662 13028.9514
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate 6.198604 10464.2789 49.304722 1982-1999 –> 2000-2012 12.670102 21823.3183
Atlantic (27.25,27.5] cstar_tref ~ aou + silicate + nitrate 6.193413 10463.5776 49.196588 1982-1999 –> 2000-2012 12.658186 21821.0262
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate 5.952241 10335.5252 47.246646 1982-1999 –> 2000-2012 12.103309 21521.1639
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + nitrate 5.945512 10333.8783 47.120299 1982-1999 –> 2000-2012 12.079053 21511.6614
Atlantic (27.25,27.5] cstar_tref ~ sal + silicate + nitrate 6.522848 10630.6610 50.510113 1982-1999 –> 2000-2012 13.075420 22034.7027
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate 5.834691 10273.2177 48.314483 1982-1999 –> 2000-2012 11.947065 21439.0603
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.700180 10200.0228 48.472103 1982-1999 –> 2000-2012 11.661736 21281.5712
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + nitrate 6.479969 10611.3973 49.339765 1982-1999 –> 2000-2012 13.007565 22004.2490
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate 6.198157 10466.0464 49.197884 1982-1999 –> 2000-2012 12.657624 21820.6585
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + nitrate 6.193188 10465.4606 49.270538 1982-1999 –> 2000-2012 12.652107 21821.7796
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate 6.466482 4929.7851 26.453984 2000-2012 –> 2013-2019 12.665087 15394.0640
Atlantic (27.25,27.5] cstar_tref ~ aou + silicate + nitrate 6.001582 4820.0206 22.524780 2000-2012 –> 2013-2019 12.194995 15283.5982
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate 6.199106 4868.5287 23.558863 2000-2012 –> 2013-2019 12.151347 15204.0540
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + nitrate 5.730853 4752.8747 22.801223 2000-2012 –> 2013-2019 11.676365 15086.7530
Atlantic (27.25,27.5] cstar_tref ~ sal + silicate + nitrate 6.151468 4856.9727 38.742534 2000-2012 –> 2013-2019 12.674316 15487.6337
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate 6.168220 4863.0466 23.351102 2000-2012 –> 2013-2019 12.002911 15136.2643
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.580086 4714.9377 23.014419 2000-2012 –> 2013-2019 11.280266 14914.9605
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + nitrate 6.129751 4853.6749 38.852984 2000-2012 –> 2013-2019 12.609720 15465.0722
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate 6.268303 4885.1574 22.455697 2000-2012 –> 2013-2019 12.466460 15351.2038
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + nitrate 5.993868 4820.0940 22.663111 2000-2012 –> 2013-2019 12.187057 15285.5546
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate 5.759194 11400.0314 30.655286 1982-1999 –> 2000-2012 11.607221 21020.4906
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + nitrate 5.642379 11328.3840 30.142469 1982-1999 –> 2000-2012 11.481343 20946.1627
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate 5.523695 11251.9803 30.323447 1982-1999 –> 2000-2012 11.313395 20844.1874
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + nitrate 5.415713 11183.0256 29.655572 1982-1999 –> 2000-2012 11.197174 20772.9355
Atlantic (27.5,27.75] cstar_tref ~ sal + silicate + nitrate 5.777054 11413.1593 30.341401 1982-1999 –> 2000-2012 12.137981 21289.3415
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate 5.364502 11148.8792 29.023757 1982-1999 –> 2000-2012 11.102516 20716.0232
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.352337 11142.7196 29.017140 1982-1999 –> 2000-2012 11.088755 20711.0241
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + nitrate 5.744580 11394.9000 29.893035 1982-1999 –> 2000-2012 11.991698 21218.5955
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate 5.722972 11379.3560 30.893479 1982-1999 –> 2000-2012 11.569293 21000.9347
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + nitrate 5.546762 11268.9574 30.136725 1982-1999 –> 2000-2012 11.379715 20885.6274
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate 5.921905 5309.6153 35.075851 2000-2012 –> 2013-2019 11.681099 16709.6468
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + nitrate 5.899445 5305.3151 35.323445 2000-2012 –> 2013-2019 11.541824 16633.6991
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate 5.858629 5293.8041 29.753589 2000-2012 –> 2013-2019 11.382324 16545.7844
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + nitrate 5.839723 5290.4451 30.133375 2000-2012 –> 2013-2019 11.255436 16473.4707
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate 5.834796 5289.0457 29.975214 2000-2012 –> 2013-2019 11.199298 16437.9248
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.831794 5290.1924 30.105462 2000-2012 –> 2013-2019 11.184131 16432.9120
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate 6.000995 5333.6121 24.485484 2000-2012 –> 2013-2019 11.748721 16728.4800
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + nitrate 5.979754 5329.7333 24.437836 2000-2012 –> 2013-2019 11.724334 16724.6333
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate 5.913844 5309.3569 33.549451 2000-2012 –> 2013-2019 11.636816 16688.7129
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + nitrate 5.875750 5300.6423 32.625320 2000-2012 –> 2013-2019 11.422512 16569.5997
Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + nitrate 5.827267 8186.4206 28.542805 1982-1999 –> 2000-2012 11.534642 13114.4663
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + nitrate 5.751938 8154.9817 28.021997 1982-1999 –> 2000-2012 11.414692 13072.8146
Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + nitrate 5.769559 8160.8429 27.938248 1982-1999 –> 2000-2012 11.461229 13084.6010
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 6.035222 8278.5365 27.737176 1982-1999 –> 2000-2012 11.940492 13261.6199
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.751628 8156.8430 28.068737 1982-1999 –> 2000-2012 11.405100 13074.1233
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate 6.036640 8277.1403 27.752035 1982-1999 –> 2000-2012 11.941913 13258.2244
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + nitrate 5.765873 8161.2005 28.103132 1982-1999 –> 2000-2012 11.445922 13083.7784
Atlantic (27.75,27.85] cstar_tref ~ silicate + nitrate 6.023698 8269.6244 26.771507 1982-1999 –> 2000-2012 11.906306 13242.7252
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + nitrate 5.762703 8159.7871 28.263683 1982-1999 –> 2000-2012 11.416456 13075.1448
Atlantic (27.75,27.85] cstar_tref ~ temp + silicate + nitrate 5.776652 8164.0004 28.295369 1982-1999 –> 2000-2012 11.460443 13085.6031
Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + nitrate 6.941950 2614.6605 47.809314 2000-2012 –> 2013-2019 12.769217 10801.0811
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + nitrate 6.654234 2583.8129 49.198837 2000-2012 –> 2013-2019 12.406172 10738.7945
Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + nitrate 6.679795 2584.7880 48.490095 2000-2012 –> 2013-2019 12.449354 10745.6309
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 7.405894 2666.8626 45.760034 2000-2012 –> 2013-2019 13.441116 10945.3991
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + nitrate 6.636121 2583.6978 49.078891 2000-2012 –> 2013-2019 12.387749 10740.5408
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate 7.492024 2673.8353 44.356155 2000-2012 –> 2013-2019 13.528664 10950.9756
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + nitrate 6.672649 2585.9574 48.313257 2000-2012 –> 2013-2019 12.438522 10747.1580
Atlantic (27.75,27.85] cstar_tref ~ silicate + nitrate 6.985767 2617.5431 48.583576 2000-2012 –> 2013-2019 13.009464 10887.1675
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + nitrate 6.643156 2582.5199 48.927514 2000-2012 –> 2013-2019 12.405859 10742.3071
Atlantic (27.75,27.85] cstar_tref ~ temp + silicate + nitrate 6.680733 2584.8970 48.138666 2000-2012 –> 2013-2019 12.457385 10748.8974
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + nitrate 6.271395 17287.2070 29.921576 1982-1999 –> 2000-2012 11.845707 28107.6798
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate 6.174614 17204.6550 29.962043 1982-1999 –> 2000-2012 11.786125 28048.0469
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + nitrate 6.107954 17149.0392 27.471662 1982-1999 –> 2000-2012 11.669510 27963.6171
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate 6.197376 17222.1864 34.178602 1982-1999 –> 2000-2012 11.813078 28066.1514
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + nitrate 6.140320 17175.0924 32.334495 1982-1999 –> 2000-2012 11.706529 27990.5513
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 6.048667 17097.2654 24.696222 1982-1999 –> 2000-2012 11.533550 27864.0052
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.851759 16923.5940 25.185327 1982-1999 –> 2000-2012 11.177619 27590.9465
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate 6.048797 17095.3792 24.561649 1982-1999 –> 2000-2012 11.568603 27881.9906
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + nitrate 5.851829 16921.6573 25.253879 1982-1999 –> 2000-2012 11.240843 27627.6322
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + nitrate 6.267510 17285.9183 29.029419 1982-1999 –> 2000-2012 11.743523 28047.0803
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + nitrate 6.291042 5789.8077 29.569330 2000-2012 –> 2013-2019 12.562436 23077.0148
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + nitrate 6.291038 5791.8067 29.571028 2000-2012 –> 2013-2019 12.398992 22940.8460
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + nitrate 6.431236 5828.9068 29.189660 2000-2012 –> 2013-2019 12.571556 23003.9992
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 6.962660 5971.7533 30.476528 2000-2012 –> 2013-2019 13.011327 23069.0187
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.881106 5674.2724 29.035716 2000-2012 –> 2013-2019 11.732865 22597.8664
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate 7.075724 5998.3291 29.313180 2000-2012 –> 2013-2019 13.124520 23093.7083
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + nitrate 6.081628 5731.7501 27.751370 2000-2012 –> 2013-2019 11.933457 22653.4075
Atlantic (27.85,27.95] cstar_tref ~ silicate + nitrate 6.546086 5858.3076 29.296157 2000-2012 –> 2013-2019 12.833147 23156.7580
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + nitrate 6.139461 5748.5403 29.129803 2000-2012 –> 2013-2019 12.406971 23034.4587
Atlantic (27.85,27.95] cstar_tref ~ temp + silicate + nitrate 6.545682 5860.1980 29.321178 2000-2012 –> 2013-2019 12.830733 23158.9511
Atlantic (27.95,28.05] cstar_tref ~ aou + silicate + nitrate 6.596488 20332.0658 26.734957 1982-1999 –> 2000-2012 12.145856 35748.3038
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate 6.156307 19907.4828 33.264795 1982-1999 –> 2000-2012 11.436119 35078.8364
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + nitrate 6.156091 19909.2680 33.183235 1982-1999 –> 2000-2012 11.433826 35080.6855
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate 6.545130 20282.0126 33.988435 1982-1999 –> 2000-2012 11.942102 35559.3034
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + nitrate 6.487973 20230.0881 32.969400 1982-1999 –> 2000-2012 11.828844 35457.9893
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 5.994266 19745.4927 34.785594 1982-1999 –> 2000-2012 11.245946 34892.5717
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.920655 19671.5270 33.669508 1982-1999 –> 2000-2012 11.138336 34788.6631
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate 6.251456 20001.7767 32.157467 1982-1999 –> 2000-2012 11.644838 35277.7956
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + nitrate 6.008542 19760.1183 31.739049 1982-1999 –> 2000-2012 11.273578 34919.6877
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + nitrate 6.596488 20334.0656 26.735367 1982-1999 –> 2000-2012 12.145760 35752.2184
Atlantic (27.95,28.05] cstar_tref ~ aou + silicate + nitrate 6.249658 6662.4979 22.434778 2000-2012 –> 2013-2019 12.846146 26994.5637
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate 5.836926 6522.7102 24.546350 2000-2012 –> 2013-2019 11.993233 26430.1931
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + nitrate 5.730699 6487.1317 22.877157 2000-2012 –> 2013-2019 11.886790 26396.3998
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate 5.966917 6565.7757 23.485713 2000-2012 –> 2013-2019 12.512048 26847.7883
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + nitrate 5.775315 6500.9992 21.990055 2000-2012 –> 2013-2019 12.263289 26731.0873
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 5.819099 6518.4520 24.344197 2000-2012 –> 2013-2019 11.813365 26263.9446
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.465180 6392.0688 22.051029 2000-2012 –> 2013-2019 11.385836 26063.5958
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate 5.954109 6563.3790 23.295244 2000-2012 –> 2013-2019 12.205564 26565.1557
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + nitrate 5.467954 6391.1067 21.923611 2000-2012 –> 2013-2019 11.476496 26151.2250
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + nitrate 6.242662 6662.2064 22.439945 2000-2012 –> 2013-2019 12.839150 26996.2719
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + nitrate 6.386154 14679.9029 24.668858 1982-1999 –> 2000-2012 12.098479 24680.4472
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate 6.066154 14449.4948 22.744193 1982-1999 –> 2000-2012 11.469759 24274.4704
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + nitrate 6.065845 14451.2667 22.747662 1982-1999 –> 2000-2012 11.412886 24244.9892
Atlantic (28.05,28.1] cstar_tref ~ sal + silicate + nitrate 6.358143 14660.2009 23.067236 1982-1999 –> 2000-2012 12.206246 24734.9773
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 6.061455 14448.0220 22.844445 1982-1999 –> 2000-2012 11.453908 24268.4691
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + nitrate 6.061435 14450.0073 22.844062 1982-1999 –> 2000-2012 11.369498 24222.6099
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + nitrate 6.260009 14592.4845 23.385794 1982-1999 –> 2000-2012 12.096789 24663.1371
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate 6.177907 14531.3129 22.979384 1982-1999 –> 2000-2012 11.618475 24377.8303
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + nitrate 6.177278 14532.8561 22.980680 1982-1999 –> 2000-2012 11.565177 24350.6334
Atlantic (28.05,28.1] cstar_tref ~ temp + silicate + nitrate 6.390116 14682.6828 23.558869 1982-1999 –> 2000-2012 12.248531 24763.0265
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate 5.174572 5492.2244 24.351011 2000-2012 –> 2013-2019 11.240726 19941.7193
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + nitrate 5.174565 5494.2218 24.333637 2000-2012 –> 2013-2019 11.240410 19945.4885
Atlantic (28.05,28.1] cstar_tref ~ sal + silicate + nitrate 5.196216 5499.6959 23.060385 2000-2012 –> 2013-2019 11.554359 20159.8968
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 5.099767 5468.1588 22.438435 2000-2012 –> 2013-2019 11.161222 19916.1808
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.088612 5466.2390 23.121521 2000-2012 –> 2013-2019 11.150047 19916.2463
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate 5.131745 5477.3479 24.310883 2000-2012 –> 2013-2019 11.491823 20138.9126
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + nitrate 5.130590 5478.9448 23.604339 2000-2012 –> 2013-2019 11.390598 20071.4293
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate 5.172839 5491.6246 22.269244 2000-2012 –> 2013-2019 11.350746 20022.9375
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + nitrate 5.168743 5492.2068 23.208458 2000-2012 –> 2013-2019 11.346020 20025.0629
Atlantic (28.05,28.1] cstar_tref ~ temp + silicate + nitrate 5.190993 5497.8958 23.560389 2000-2012 –> 2013-2019 11.581109 20180.5786
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate 6.226627 15259.5434 32.639186 1982-1999 –> 2000-2012 11.507267 22722.2031
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + nitrate 6.226237 15261.2493 32.670258 1982-1999 –> 2000-2012 11.505606 22725.3272
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate 5.664003 14816.8143 27.007888 1982-1999 –> 2000-2012 10.712903 22172.9615
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + nitrate 5.584925 14752.7890 27.218417 1982-1999 –> 2000-2012 10.535031 22063.1534
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate 5.525385 14702.4572 26.686574 1982-1999 –> 2000-2012 10.567635 22057.4172
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.451609 14641.3321 26.445796 1982-1999 –> 2000-2012 10.392410 21949.1472
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + nitrate 6.197501 15241.5256 32.046015 1982-1999 –> 2000-2012 11.740446 22825.4066
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate 5.529115 14703.6261 26.803651 1982-1999 –> 2000-2012 10.576871 22059.2252
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + nitrate 5.451772 14639.4726 26.467758 1982-1999 –> 2000-2012 10.410122 21953.8606
Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + nitrate 6.233701 15266.8751 30.761274 1982-1999 –> 2000-2012 11.792757 22855.7742
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate 5.648839 3116.2832 21.476571 2000-2012 –> 2013-2019 11.312843 17933.0975
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + nitrate 5.542909 3099.6175 23.071256 2000-2012 –> 2013-2019 11.127834 17852.4065
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate 5.107637 3018.9800 20.192059 2000-2012 –> 2013-2019 10.633023 17721.4371
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.012289 3002.3995 18.930074 2000-2012 –> 2013-2019 10.463897 17643.7317
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate 5.728582 3130.1048 19.201341 2000-2012 –> 2013-2019 11.980467 18410.6594
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + nitrate 5.654403 3119.2538 18.585404 2000-2012 –> 2013-2019 11.851904 18360.7794
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate 5.182330 3031.2946 20.383613 2000-2012 –> 2013-2019 10.711446 17734.9207
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + nitrate 5.023428 3002.5885 19.318441 2000-2012 –> 2013-2019 10.475200 17642.0611
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate 5.753000 3132.2988 19.848681 2000-2012 –> 2013-2019 12.034560 18433.0896
Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + nitrate 5.654600 3117.2883 18.622131 2000-2012 –> 2013-2019 11.888301 18384.1634
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 5.098956 5727.9998 26.764107 1982-1999 –> 2000-2012 10.577203 8002.9192
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + nitrate 5.088775 5726.2504 26.561289 1982-1999 –> 2000-2012 10.440323 7986.1819
Atlantic (28.15,28.2] cstar_tref ~ sal + silicate + nitrate 5.363200 5822.7848 23.021065 1982-1999 –> 2000-2012 10.801245 8092.3568
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 4.913646 5660.5511 26.637200 1982-1999 –> 2000-2012 10.195502 7910.9660
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + nitrate 4.911777 5661.8374 26.552792 1982-1999 –> 2000-2012 10.054184 7894.8272
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate 5.190460 5761.3674 23.204156 1982-1999 –> 2000-2012 10.595786 8026.5581
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + nitrate 5.163517 5753.6041 23.231742 1982-1999 –> 2000-2012 10.510488 8012.9144
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 4.996837 5690.0470 27.849271 1982-1999 –> 2000-2012 10.279253 7938.5388
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + nitrate 4.994447 5691.1494 27.748712 1982-1999 –> 2000-2012 10.138376 7922.3541
Atlantic (28.15,28.2] cstar_tref ~ temp + silicate + nitrate 5.408440 5838.5429 24.183271 1982-1999 –> 2000-2012 10.811857 8103.4772
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 4.161790 1506.4089 13.267592 2000-2012 –> 2013-2019 9.260746 7234.4087
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + nitrate 3.967339 1483.2399 14.390567 2000-2012 –> 2013-2019 9.056114 7209.4903
Atlantic (28.15,28.2] cstar_tref ~ sal + silicate + nitrate 3.969151 1481.4802 14.517070 2000-2012 –> 2013-2019 9.332351 7304.2650
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 3.796051 1460.0253 9.954659 2000-2012 –> 2013-2019 8.709697 7120.5764
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.631751 1438.7517 9.782262 2000-2012 –> 2013-2019 8.543528 7100.5891
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate 3.812314 1460.2741 9.845524 2000-2012 –> 2013-2019 9.002774 7221.6414
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + nitrate 3.636193 1437.3947 9.952862 2000-2012 –> 2013-2019 8.799710 7190.9988
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 3.833455 1463.1828 9.818811 2000-2012 –> 2013-2019 8.830291 7153.2298
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + nitrate 3.754012 1454.1677 9.711881 2000-2012 –> 2013-2019 8.748458 7145.3171
Atlantic (28.15,28.2] cstar_tref ~ temp + silicate + nitrate 3.797554 1458.2336 10.001042 2000-2012 –> 2013-2019 9.205994 7296.7765
Atlantic (28.2, Inf] cstar_tref ~ aou + silicate + nitrate 4.044519 12244.0119 15.622326 1982-1999 –> 2000-2012 8.943997 16320.9188
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 4.164187 12370.6769 17.457644 1982-1999 –> 2000-2012 8.972408 16422.1639
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + nitrate 4.015507 12214.7401 15.705486 1982-1999 –> 2000-2012 8.822800 16267.9663
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 4.075745 12279.4218 16.186910 1982-1999 –> 2000-2012 8.838109 16319.9529
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.974108 12171.7211 16.196553 1982-1999 –> 2000-2012 8.736243 16214.1873
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate 4.147568 12353.3049 15.972096 1982-1999 –> 2000-2012 9.020597 16422.8935
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + nitrate 4.067491 12270.6154 16.372349 1982-1999 –> 2000-2012 8.895102 16329.5437
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate 4.101077 12304.3376 16.026878 1982-1999 –> 2000-2012 8.997704 16380.4576
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + nitrate 3.974356 12169.9922 16.187772 1982-1999 –> 2000-2012 8.864849 16246.4175
Atlantic (28.2, Inf] cstar_tref ~ temp + silicate + nitrate 4.067643 12268.7773 16.365326 1982-1999 –> 2000-2012 9.006299 16356.4523
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate 3.435308 2942.2678 23.322512 2000-2012 –> 2013-2019 7.601827 15313.3770
Atlantic (28.2, Inf] cstar_tref ~ aou + silicate + nitrate 3.432977 2943.5172 23.745352 2000-2012 –> 2013-2019 7.477496 15187.5290
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 3.405455 2934.6146 20.008064 2000-2012 –> 2013-2019 7.569642 15305.2915
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + nitrate 3.369809 2924.9767 19.385787 2000-2012 –> 2013-2019 7.385316 15139.7168
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 3.402761 2935.7393 21.237876 2000-2012 –> 2013-2019 7.478506 15215.1611
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.366036 2925.7378 20.825198 2000-2012 –> 2013-2019 7.340144 15097.4590
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + nitrate 3.558101 2985.1112 29.596191 2000-2012 –> 2013-2019 7.625592 15255.7266
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate 3.425110 2940.9799 20.301006 2000-2012 –> 2013-2019 7.526187 15245.3175
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + nitrate 3.414552 2939.5653 19.811752 2000-2012 –> 2013-2019 7.388908 15109.5575
Atlantic (28.2, Inf] cstar_tref ~ temp + silicate + nitrate 3.604759 2997.5201 28.592021 2000-2012 –> 2013-2019 7.672402 15266.2974
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou 8.241775 24255.4759 62.746450 1982-1999 –> 2000-2012 21.640186 34549.5353
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 5.962562 22032.9033 64.661169 1982-1999 –> 2000-2012 18.160900 32088.5536
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate 7.623840 23721.9029 60.599858 1982-1999 –> 2000-2012 20.587230 33933.3985
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.961155 22033.2820 64.529083 1982-1999 –> 2000-2012 18.133305 32085.4262
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate 7.448183 23559.7166 63.188609 1982-1999 –> 2000-2012 20.245645 33736.2075
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate 7.635689 23730.5753 60.813346 1982-1999 –> 2000-2012 20.629850 33946.1450
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + nitrate 7.400180 23517.2832 62.383389 1982-1999 –> 2000-2012 20.126224 33681.4366
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate 6.968387 23102.1347 63.535712 1982-1999 –> 2000-2012 19.650604 33255.4497
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate 8.419266 24401.8975 58.139741 1982-1999 –> 2000-2012 22.128835 34754.7749
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + nitrate 6.831107 22967.4023 62.369103 1982-1999 –> 2000-2012 19.429483 33105.7239
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou 7.315320 18254.4827 29.950901 2000-2012 –> 2013-2019 15.557095 42509.9586
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 4.835751 16041.1066 24.669374 2000-2012 –> 2013-2019 10.798313 38074.0099
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate 6.692569 17780.2993 29.285057 2000-2012 –> 2013-2019 14.316409 41502.2022
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + nitrate 4.809666 16014.1587 23.646636 2000-2012 –> 2013-2019 10.770822 38047.4407
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate 6.738801 17815.1439 25.763033 2000-2012 –> 2013-2019 14.186985 41374.8605
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate 6.775486 17844.1998 28.279220 2000-2012 –> 2013-2019 14.411175 41574.7751
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + nitrate 6.684503 17773.8448 26.469754 2000-2012 –> 2013-2019 14.084682 41291.1280
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate 5.360270 16590.2433 27.432468 2000-2012 –> 2013-2019 12.328656 39692.3780
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate 6.808629 17870.3159 29.713252 2000-2012 –> 2013-2019 15.227895 42272.2134
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + nitrate 5.329104 16561.0352 27.206189 2000-2012 –> 2013-2019 12.160211 39528.4375
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou 6.940101 17400.1128 52.008788 1982-1999 –> 2000-2012 16.573771 27141.7765
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate 6.853335 17336.9182 48.334088 1982-1999 –> 2000-2012 16.466642 27074.9915
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate 6.915824 17383.9536 51.740729 1982-1999 –> 2000-2012 16.431316 27095.0070
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + nitrate 6.848864 17335.5366 48.489930 1982-1999 –> 2000-2012 16.364338 27048.5849
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou 6.869931 17349.4519 52.556382 1982-1999 –> 2000-2012 16.435268 27074.3088
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 6.669565 17198.0675 46.897578 1982-1999 –> 2000-2012 16.194557 26913.7573
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate 6.821947 17315.1301 52.272039 1982-1999 –> 2000-2012 16.227258 26997.4132
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + nitrate 6.657315 17190.5407 47.116940 1982-1999 –> 2000-2012 16.060762 26874.3001
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate 6.716512 17232.4156 44.262262 1982-1999 –> 2000-2012 16.509900 27019.5224
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + nitrate 6.702000 17223.2074 44.571284 1982-1999 –> 2000-2012 16.353921 26973.8718
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou 6.232149 9656.5193 72.988440 2000-2012 –> 2013-2019 13.172250 27056.6321
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate 6.075928 9583.1214 65.075484 2000-2012 –> 2013-2019 12.929262 26920.0395
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate 6.183484 9635.2366 69.551203 2000-2012 –> 2013-2019 13.099308 27019.1901
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + nitrate 6.067732 9581.1127 64.254474 2000-2012 –> 2013-2019 12.916596 26916.6494
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou 6.227435 9656.2723 72.917114 2000-2012 –> 2013-2019 13.097366 27005.7241
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 6.047871 9571.3752 63.191761 2000-2012 –> 2013-2019 12.717436 26769.4428
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate 6.183484 9637.2364 69.553387 2000-2012 –> 2013-2019 13.005430 26952.3665
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + nitrate 6.033798 9566.4564 61.893014 2000-2012 –> 2013-2019 12.691113 26756.9971
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate 6.117524 9603.3850 57.184439 2000-2012 –> 2013-2019 12.834036 26835.8006
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + nitrate 6.100061 9596.8947 55.896057 2000-2012 –> 2013-2019 12.802061 26820.1021
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate 7.558536 18980.1877 50.075361 1982-1999 –> 2000-2012 15.796667 29037.1114
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate 7.619064 19024.1517 54.984074 1982-1999 –> 2000-2012 15.840036 29075.1374
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + nitrate 7.355690 18832.2428 47.492122 1982-1999 –> 2000-2012 15.537949 28871.7854
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + silicate + nitrate 7.457523 18906.0283 47.906728 1982-1999 –> 2000-2012 15.755707 28983.6377
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate 7.558429 18982.1095 50.051562 1982-1999 –> 2000-2012 15.794850 29040.4421
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate 7.554979 18979.5935 50.869667 1982-1999 –> 2000-2012 15.774830 29032.1907
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + nitrate 7.348292 18828.6960 47.586867 1982-1999 –> 2000-2012 15.530551 28870.2386
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + nitrate 7.454690 18905.9335 47.824331 1982-1999 –> 2000-2012 15.745292 28982.9397
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate 7.656507 19051.1732 48.786948 1982-1999 –> 2000-2012 15.909504 29113.2316
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + nitrate 7.473888 18920.1107 48.384293 1982-1999 –> 2000-2012 15.689391 28971.2012
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate 6.451917 8073.8238 25.833941 2000-2012 –> 2013-2019 14.010453 27054.0116
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate 6.481234 8084.9584 31.259665 2000-2012 –> 2013-2019 14.100299 27109.1102
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + nitrate 6.254297 7999.4210 26.330810 2000-2012 –> 2013-2019 13.609987 26831.6638
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + silicate + nitrate 6.566401 8117.0213 28.483540 2000-2012 –> 2013-2019 14.023924 27023.0496
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate 6.451004 8075.4761 25.541251 2000-2012 –> 2013-2019 14.009433 27057.5856
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate 6.411213 8060.2800 27.907891 2000-2012 –> 2013-2019 13.966192 27039.8736
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + nitrate 6.242861 7996.9262 25.317150 2000-2012 –> 2013-2019 13.591153 26825.6221
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + nitrate 6.555021 8114.7611 28.009242 2000-2012 –> 2013-2019 14.009710 27020.6946
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate 6.538935 8106.7269 24.921359 2000-2012 –> 2013-2019 14.202665 27163.0973
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + nitrate 6.403876 8057.4679 21.642571 2000-2012 –> 2013-2019 13.877764 26977.5786
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + nitrate 6.680349 27802.4792 43.818896 1982-1999 –> 2000-2012 14.630536 45322.0388
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + nitrate 6.409117 27457.3050 43.787887 1982-1999 –> 2000-2012 14.355731 44976.6108
Indo-Pacific (26.75,27] cstar_tref ~ sal + silicate + nitrate 6.494827 27566.5751 43.511889 1982-1999 –> 2000-2012 14.508092 45125.7601
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate 6.939635 28123.4289 42.475822 1982-1999 –> 2000-2012 14.645270 45488.3334
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate 6.912064 28090.0840 44.627179 1982-1999 –> 2000-2012 14.588425 45435.9040
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + nitrate 6.389461 27433.5770 43.653702 1982-1999 –> 2000-2012 13.924949 44688.5272
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + nitrate 6.404806 27451.6691 43.487939 1982-1999 –> 2000-2012 13.946004 44708.4172
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate 6.916073 28092.9415 45.032295 1982-1999 –> 2000-2012 14.881877 45622.3405
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + nitrate 6.414553 27464.4059 43.529748 1982-1999 –> 2000-2012 14.221156 44894.5831
Indo-Pacific (26.75,27] cstar_tref ~ temp + silicate + nitrate 6.422193 27472.3754 43.426274 1982-1999 –> 2000-2012 14.233739 44903.7265
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + nitrate 5.783355 13607.0839 27.472426 2000-2012 –> 2013-2019 12.463704 41409.5631
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + nitrate 5.387405 13305.2621 22.339149 2000-2012 –> 2013-2019 11.796522 40762.5671
Indo-Pacific (26.75,27] cstar_tref ~ sal + silicate + nitrate 5.438771 13343.9146 25.691852 2000-2012 –> 2013-2019 11.933598 40910.4897
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate 6.140144 13865.5421 23.767290 2000-2012 –> 2013-2019 13.079779 41988.9711
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate 5.392719 13309.4857 22.967626 2000-2012 –> 2013-2019 12.304783 41399.5697
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.200416 13155.9289 20.595369 2000-2012 –> 2013-2019 11.589877 40589.5059
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + nitrate 5.395822 13311.9496 25.788938 2000-2012 –> 2013-2019 11.800628 40763.6187
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate 5.398992 13312.4657 22.694545 2000-2012 –> 2013-2019 12.315065 41405.4072
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + nitrate 5.200957 13154.3749 20.700708 2000-2012 –> 2013-2019 11.615510 40618.7808
Indo-Pacific (26.75,27] cstar_tref ~ temp + silicate + nitrate 5.401597 13314.5324 25.661238 2000-2012 –> 2013-2019 11.823789 40786.9078
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + nitrate 6.468761 36746.6204 61.539304 1982-1999 –> 2000-2012 14.781548 53860.2635
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + nitrate 6.460974 36735.1534 61.983704 1982-1999 –> 2000-2012 14.605509 53751.9110
Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + nitrate 6.679083 37104.3369 62.108616 1982-1999 –> 2000-2012 15.029923 54240.0669
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate 7.013284 37652.2050 65.101043 1982-1999 –> 2000-2012 15.293113 54748.6362
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate 6.098713 36090.0424 59.512194 1982-1999 –> 2000-2012 14.019828 52972.2859
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + nitrate 6.069431 36038.2344 59.837494 1982-1999 –> 2000-2012 13.823254 52819.2485
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + nitrate 6.120985 36130.7968 60.468794 1982-1999 –> 2000-2012 13.876071 52910.5988
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate 6.466958 36743.5048 58.489021 1982-1999 –> 2000-2012 14.975174 53969.5236
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + nitrate 6.337353 36519.1696 59.356731 1982-1999 –> 2000-2012 14.649735 53634.5769
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + nitrate 6.348024 36535.9779 59.682308 1982-1999 –> 2000-2012 14.662638 53650.6835
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + nitrate 5.854271 19158.5213 22.744364 2000-2012 –> 2013-2019 12.323032 55905.1417
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + nitrate 5.829058 19134.5819 24.482846 2000-2012 –> 2013-2019 12.290032 55869.7353
Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + nitrate 5.832337 19135.9615 23.413569 2000-2012 –> 2013-2019 12.511420 56240.2984
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate 5.128206 18364.7034 18.118433 2000-2012 –> 2013-2019 11.226919 54454.7458
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.087797 18319.1583 18.169794 2000-2012 –> 2013-2019 11.157228 54357.3927
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + nitrate 5.497806 18782.9582 26.302516 2000-2012 –> 2013-2019 11.618791 54913.7549
Indo-Pacific (27,27.25] cstar_tref ~ silicate + nitrate 5.865059 19167.5862 24.423842 2000-2012 –> 2013-2019 12.885035 56826.4531
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate 5.657717 18953.2738 20.724772 2000-2012 –> 2013-2019 12.124676 55696.7786
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + nitrate 5.653945 18951.2653 20.710767 2000-2012 –> 2013-2019 11.991298 55470.4350
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + nitrate 5.857350 19161.6813 25.060900 2000-2012 –> 2013-2019 12.205374 55697.6591
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + nitrate 5.854202 37210.8829 51.675103 1982-1999 –> 2000-2012 13.591362 56943.5106
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + nitrate 5.339551 36138.4789 54.023460 1982-1999 –> 2000-2012 12.534890 55459.8606
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + nitrate 5.724283 36948.8454 54.555809 1982-1999 –> 2000-2012 13.318743 56575.5128
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate 5.827066 37158.6355 71.223403 1982-1999 –> 2000-2012 13.355345 56737.4830
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate 5.546784 36583.0623 54.796470 1982-1999 –> 2000-2012 13.188451 56247.0017
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + nitrate 5.309545 36074.6795 54.203835 1982-1999 –> 2000-2012 12.504309 55397.6060
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + nitrate 5.325128 36106.8975 54.366824 1982-1999 –> 2000-2012 12.654851 55533.6056
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate 5.967269 37434.2406 72.391747 1982-1999 –> 2000-2012 13.589518 57081.6974
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + nitrate 5.707861 36917.3014 54.436210 1982-1999 –> 2000-2012 13.142241 56424.7067
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + silicate + nitrate 5.874937 37252.1642 52.319352 1982-1999 –> 2000-2012 13.566696 56951.2937
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + nitrate 5.425573 21382.3469 17.751280 2000-2012 –> 2013-2019 11.279775 58593.2298
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + nitrate 4.498819 20097.1617 17.477166 2000-2012 –> 2013-2019 9.838370 56235.6406
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + nitrate 4.760598 20483.8308 19.919588 2000-2012 –> 2013-2019 10.484881 57432.6762
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate 5.406445 21360.0759 28.641937 2000-2012 –> 2013-2019 11.233511 58518.7113
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate 4.346732 19860.8290 17.075819 2000-2012 –> 2013-2019 9.893515 56443.8914
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + nitrate 4.310752 19805.7100 16.770488 2000-2012 –> 2013-2019 9.620297 55880.3895
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + nitrate 4.339311 19849.0866 16.809580 2000-2012 –> 2013-2019 9.664439 55955.9841
Indo-Pacific (27.25,27.5] cstar_tref ~ silicate + nitrate 5.428670 21384.2679 17.605383 2000-2012 –> 2013-2019 11.303652 58634.5231
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + nitrate 5.222910 21122.7377 18.974376 2000-2012 –> 2013-2019 10.930771 58040.0391
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + silicate + nitrate 5.372433 21314.7077 17.822817 2000-2012 –> 2013-2019 11.247369 58566.8720
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate 5.981665 42299.4920 28.395807 1982-1999 –> 2000-2012 13.459928 64706.6628
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + nitrate 4.955858 39821.2058 26.837558 1982-1999 –> 2000-2012 12.011330 61850.4653
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + nitrate 5.357931 40847.6575 27.609915 1982-1999 –> 2000-2012 12.673616 63111.3433
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate 4.953656 39815.3451 34.883470 1982-1999 –> 2000-2012 11.816080 61663.4999
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 5.843968 41994.4510 28.137241 1982-1999 –> 2000-2012 13.319244 64401.0134
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + nitrate 4.813234 39438.2173 26.498531 1982-1999 –> 2000-2012 11.617643 61232.9506
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + nitrate 5.249510 40580.1329 26.695547 1982-1999 –> 2000-2012 12.563527 62844.3303
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate 5.084809 40157.8629 36.123901 1982-1999 –> 2000-2012 11.985033 62039.8774
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + nitrate 5.060234 40095.9923 32.358292 1982-1999 –> 2000-2012 11.929245 61950.4098
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + silicate + nitrate 5.771621 41828.2166 28.694682 1982-1999 –> 2000-2012 13.180302 64174.3630
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate 4.492730 23147.4811 22.914732 2000-2012 –> 2013-2019 10.474395 65446.9731
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + nitrate 3.895814 22020.4228 16.597908 2000-2012 –> 2013-2019 8.851673 61841.6286
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + nitrate 4.005234 22237.8002 19.899030 2000-2012 –> 2013-2019 9.363165 63085.4577
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate 4.140455 22502.7740 18.271521 2000-2012 –> 2013-2019 9.094111 62318.1191
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 4.371501 22932.8366 22.365873 2000-2012 –> 2013-2019 10.215469 64927.2876
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.801946 21829.2569 16.848423 2000-2012 –> 2013-2019 8.615180 61267.4742
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + nitrate 3.988833 22207.3021 19.148797 2000-2012 –> 2013-2019 9.238342 62787.4350
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate 4.344269 22881.3447 17.074985 2000-2012 –> 2013-2019 9.429078 63039.2076
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + nitrate 4.315414 22830.5645 16.453890 2000-2012 –> 2013-2019 9.375649 62926.5567
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + silicate + nitrate 5.187514 24286.3296 19.255120 2000-2012 –> 2013-2019 10.959135 66114.5462
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate 5.040177 20675.6010 37.188409 1982-1999 –> 2000-2012 11.501079 30664.5420
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + nitrate 4.879503 20457.1003 30.718763 1982-1999 –> 2000-2012 11.296395 30427.2769
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou 5.562752 21347.0240 22.159268 1982-1999 –> 2000-2012 12.154364 31396.8136
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 4.617797 20081.9155 35.527741 1982-1999 –> 2000-2012 10.846176 29961.5057
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate 5.553599 21337.8161 22.184580 1982-1999 –> 2000-2012 12.131947 31383.4862
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + nitrate 4.617792 20083.9080 35.487232 1982-1999 –> 2000-2012 10.845653 29965.2454
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou 5.589046 21377.1193 22.031289 1982-1999 –> 2000-2012 12.180663 31424.9111
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate 4.630021 20097.9085 35.027622 1982-1999 –> 2000-2012 10.893424 29992.5343
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate 5.564385 21349.0214 22.123135 1982-1999 –> 2000-2012 12.143924 31393.2416
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + nitrate 4.628187 20097.2123 35.808059 1982-1999 –> 2000-2012 10.887807 29992.0025
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate 4.498428 11700.6664 21.212050 2000-2012 –> 2013-2019 9.538606 32376.2674
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + nitrate 4.060236 11292.7188 15.295861 2000-2012 –> 2013-2019 8.939739 31749.8191
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + nitrate 4.297185 11517.5950 21.166060 2000-2012 –> 2013-2019 9.853195 32856.3648
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 3.700612 10921.7473 16.641218 2000-2012 –> 2013-2019 8.318409 31003.6628
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate 4.430547 11641.8462 23.916094 2000-2012 –> 2013-2019 9.984146 32979.6624
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.658023 10877.4457 15.254100 2000-2012 –> 2013-2019 8.275815 30961.3537
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + nitrate 4.210570 11438.1464 24.017938 2000-2012 –> 2013-2019 9.766552 32778.8825
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate 3.731359 10952.8443 16.642739 2000-2012 –> 2013-2019 8.361380 31050.7528
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate 4.540029 11737.4874 19.462890 2000-2012 –> 2013-2019 10.104413 33086.5088
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + nitrate 3.723734 10946.6624 16.134693 2000-2012 –> 2013-2019 8.351922 31043.8747
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate 4.801316 28758.8869 22.259668 1982-1999 –> 2000-2012 11.722407 43101.7970
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + nitrate 4.734122 28625.2758 21.900388 1982-1999 –> 2000-2012 11.654335 42969.6437
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou 5.079473 29300.7728 25.692149 1982-1999 –> 2000-2012 12.062132 43681.5353
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 4.330611 27768.0743 20.684820 1982-1999 –> 2000-2012 11.044708 41983.2087
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 4.892801 28942.5002 26.807695 1982-1999 –> 2000-2012 11.721682 43230.0847
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + nitrate 4.278510 27653.6121 20.818853 1982-1999 –> 2000-2012 10.885175 41801.8049
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou 5.237045 29592.7241 26.511726 1982-1999 –> 2000-2012 12.220971 43972.2619
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate 4.334276 27774.2150 20.761172 1982-1999 –> 2000-2012 11.084078 42010.0173
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate 5.192023 29511.6485 27.206791 1982-1999 –> 2000-2012 12.032786 43804.6629
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + nitrate 4.305801 27712.7919 20.951968 1982-1999 –> 2000-2012 10.914907 41860.5636
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + nitrate 4.178025 16282.2155 23.409195 2000-2012 –> 2013-2019 9.295736 45655.1513
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate 4.176296 16279.8506 17.012101 2000-2012 –> 2013-2019 8.977612 45038.7375
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + nitrate 3.964644 15984.7771 15.136311 2000-2012 –> 2013-2019 8.698765 44610.0529
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou 4.249396 16378.9670 19.268448 2000-2012 –> 2013-2019 9.328869 45679.7398
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 3.629681 15480.5718 14.996225 2000-2012 –> 2013-2019 7.960292 43248.6461
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 4.224348 16347.1978 18.620966 2000-2012 –> 2013-2019 9.117149 45289.6981
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.626311 15477.2666 14.656963 2000-2012 –> 2013-2019 7.904821 43130.8786
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate 3.629682 15478.5738 14.993078 2000-2012 –> 2013-2019 7.963958 43252.7888
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate 4.275732 16414.2575 22.139593 2000-2012 –> 2013-2019 9.467755 45925.9059
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + nitrate 3.627186 15476.6437 14.817769 2000-2012 –> 2013-2019 7.932987 43189.4356
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate 4.536846 49357.1885 65.246671 1982-1999 –> 2000-2012 11.407282 75906.9774
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + nitrate 4.526952 49322.4300 65.062753 1982-1999 –> 2000-2012 11.397336 75874.1606
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate 4.514159 49274.7871 65.658491 1982-1999 –> 2000-2012 11.078303 75464.8340
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + nitrate 4.505151 49243.1554 65.475006 1982-1999 –> 2000-2012 11.064114 75428.9396
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou 4.500266 49222.8902 62.631773 1982-1999 –> 2000-2012 11.429719 75842.5252
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 4.213556 48116.5853 63.844277 1982-1999 –> 2000-2012 10.730313 74251.1629
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 4.267251 48329.7763 62.707904 1982-1999 –> 2000-2012 11.087388 74825.2813
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + nitrate 4.074977 47555.5558 63.693367 1982-1999 –> 2000-2012 10.530747 73617.5528
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate 4.289156 48413.9785 64.992459 1982-1999 –> 2000-2012 10.850366 74600.4800
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + nitrate 4.258489 48295.1727 65.304928 1982-1999 –> 2000-2012 10.723010 74365.9138
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate 3.913912 28015.3344 102.721314 2000-2012 –> 2013-2019 8.450758 77372.5229
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + nitrate 3.841213 27828.6791 102.850556 2000-2012 –> 2013-2019 8.368164 77151.1091
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate 3.912332 28013.2727 102.724375 2000-2012 –> 2013-2019 8.426491 77288.0598
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + nitrate 3.818308 27770.5005 102.891694 2000-2012 –> 2013-2019 8.323458 77013.6559
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou 3.815541 27761.2061 103.130476 2000-2012 –> 2013-2019 8.315806 76984.0963
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 3.718117 27502.9521 104.248528 2000-2012 –> 2013-2019 7.931673 75619.5374
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 3.780755 27671.0531 103.942873 2000-2012 –> 2013-2019 8.048006 76000.8294
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.717920 27504.4188 104.287693 2000-2012 –> 2013-2019 7.792896 75059.9746
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate 3.760547 27615.1273 103.880992 2000-2012 –> 2013-2019 8.049703 76029.1059
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + nitrate 3.741181 27565.1764 103.791719 2000-2012 –> 2013-2019 7.999670 75860.3491
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate 3.944371 38286.9026 25.195263 1982-1999 –> 2000-2012 10.381856 57502.3242
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + nitrate 3.944156 38288.1541 25.112719 1982-1999 –> 2000-2012 10.375306 57499.8116
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate 3.939869 38273.2391 25.313036 1982-1999 –> 2000-2012 10.242494 57366.7216
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate 4.004748 38497.2326 25.105123 1982-1999 –> 2000-2012 10.636358 57888.5752
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + nitrate 3.939551 38274.1321 25.214125 1982-1999 –> 2000-2012 10.223826 57352.5457
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 3.872720 38039.4891 25.632261 1982-1999 –> 2000-2012 10.167577 57127.7526
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate 3.938266 38269.6572 25.594665 1982-1999 –> 2000-2012 10.562391 57656.3885
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.869896 38031.4855 25.346211 1982-1999 –> 2000-2012 10.147433 57105.6192
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate 3.897628 38125.4102 25.657071 1982-1999 –> 2000-2012 10.211301 57229.1458
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + nitrate 3.895930 38121.4349 25.435623 1982-1999 –> 2000-2012 10.196627 57215.1267
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate 3.309839 26883.1206 16.076013 2000-2012 –> 2013-2019 7.254211 65170.0233
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + nitrate 3.301006 26857.6640 15.789317 2000-2012 –> 2013-2019 7.245162 65145.8181
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate 3.309803 26885.0094 16.052747 2000-2012 –> 2013-2019 7.249672 65158.2484
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + nitrate 3.299579 26855.2238 15.596306 2000-2012 –> 2013-2019 7.239130 65129.3559
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou 3.313455 26896.3379 15.952200 2000-2012 –> 2013-2019 7.270166 65228.0770
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 3.308626 26883.3531 16.192327 2000-2012 –> 2013-2019 7.181345 64922.8422
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate 3.299148 26853.8812 15.682083 2000-2012 –> 2013-2019 7.237414 65123.5385
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.299143 26855.8660 15.694746 2000-2012 –> 2013-2019 7.169039 64887.3515
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate 3.309090 26882.7951 16.071170 2000-2012 –> 2013-2019 7.206717 65008.2053
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + nitrate 3.299238 26854.1627 15.762308 2000-2012 –> 2013-2019 7.195168 64975.5975
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate 4.046528 50389.2447 37.755796 1982-1999 –> 2000-2012 9.094483 83370.8474
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + nitrate 4.019725 50272.3811 37.595735 1982-1999 –> 2000-2012 9.021800 83156.8804
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate 4.021853 50281.8476 37.800782 1982-1999 –> 2000-2012 9.069337 83264.4355
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + nitrate 4.017048 50262.4643 37.675663 1982-1999 –> 2000-2012 9.001684 83111.0574
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate 4.125222 50737.7415 38.214596 1982-1999 –> 2000-2012 9.136842 83644.9333
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate 3.963604 50022.9038 38.027013 1982-1999 –> 2000-2012 9.004521 82993.3632
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.944023 49936.3255 37.803297 1982-1999 –> 2000-2012 8.914267 82755.5371
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate 4.125226 50735.7556 38.218451 1982-1999 –> 2000-2012 9.140632 83649.1464
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate 4.042273 50372.4262 37.787414 1982-1999 –> 2000-2012 9.088790 83352.9359
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + nitrate 3.968902 50046.7963 37.552203 1982-1999 –> 2000-2012 8.939852 82865.5501
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate 3.165262 23354.2640 14.317181 2000-2012 –> 2013-2019 7.211790 73743.5087
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + nitrate 3.131719 23259.5263 14.827706 2000-2012 –> 2013-2019 7.151444 73531.9074
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate 3.157921 23335.1802 14.610489 2000-2012 –> 2013-2019 7.179774 73617.0278
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + nitrate 3.109312 23196.3273 14.528171 2000-2012 –> 2013-2019 7.126360 73458.7915
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate 3.080392 23111.4770 14.806743 2000-2012 –> 2013-2019 7.205614 73849.2185
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate 3.098075 23163.4527 14.913353 2000-2012 –> 2013-2019 7.061679 73186.3565
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + nitrate 3.079559 23111.0231 14.786703 2000-2012 –> 2013-2019 7.023582 73047.3486
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + nitrate 3.111867 23203.7853 15.018041 2000-2012 –> 2013-2019 7.214579 73843.6580
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate 3.111474 23200.6386 15.084765 2000-2012 –> 2013-2019 7.153747 73573.0648
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + nitrate 3.111344 23202.2602 15.089477 2000-2012 –> 2013-2019 7.080246 73249.0565

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(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")

Version Author Date
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17

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
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17

6.2 RMSE correlation between eras

RMSE was plotted to compare the agreement for one model applied to two adjecent 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
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
e4ca289 jens-daniel-mueller 2020-12-16
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
ba112d3 jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
7c25f7a jens-daniel-mueller 2020-12-02
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30 
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
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
a84ff3c jens-daniel-mueller 2020-12-17 
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 sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 9 8 7 6 7
(26,26.5] 10 7 6 7 6
(26.5,26.75] 7 7 9 7 7
(26.75,27] 6 6 10 8 5
(27,27.25] 6 8 10 6 5
(27.25,27.5] 8 10 6 6 5
(27.5,27.75] 8 10 6 6 5
(27.75,27.85] 5 10 6 8 6
(27.85,27.95] 6 10 8 6 5
(27.95,28.05] 6 10 8 6 5
(28.05,28.1] 7 10 6 7 6
(28.1,28.15] 8 10 5 6 6
(28.15,28.2] 6 10 7 6 7
(28.2, Inf] 7 10 6 6 7
total 99.00 126.00 100.00 91.00 82.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 9 8 7 6 7
(26,26.5] 10 8 6 6 5
(26.5,26.75] 7 7 9 8 6
(26.75,27] 6 6 10 8 5
(27,27.25] 8 8 8 8 5
(27.25,27.5] 8 10 6 6 5
(27.5,27.75] 8 10 6 5 6
(27.75,27.85] 5 10 6 8 6
(27.85,27.95] 5 10 6 8 6
(27.95,28.05] 6 10 8 6 5
(28.05,28.1] 6 10 7 6 7
(28.1,28.15] 6 10 6 5 8
(28.15,28.2] 6 10 7 6 7
(28.2, Inf] 8 10 5 6 6
total 98.00 127.00 97.00 92.00 84.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 7 6 7 6 10
(26,26.5] 8 6 10 5 6
(26.5,26.75] 8 7 8 8 6
(26.75,27] 7 8 6 9 7
(27,27.25] 7 8 6 9 7
(27.25,27.5] 7 9 6 8 7
(27.5,27.75] 7 8 7 8 7
(27.75,27.85] 10 6 6 5 8
(27.85,27.95] 10 6 6 5 8
(27.95,28.05] 10 8 6 5 6
(28.05,28.1] 10 8 6 6 5
(28.1, Inf] 10 6 5 8 6
total 101.00 86.00 79.00 82.00 83.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 6 7 6 10
(26,26.5] 8 6 10 5 6
(26.5,26.75] 8 8 8 7 6
(26.75,27] 7 8 6 9 7
(27,27.25] 6 8 5 10 6
(27.25,27.5] 6 9 6 9 6
(27.5,27.75] 7 8 7 8 7
(27.75,27.85] 8 8 7 7 7
(27.85,27.95] 10 7 6 6 7
(27.95,28.05] 10 8 6 5 6
(28.05,28.1] 10 8 6 5 6
(28.1, Inf] 9 6 6 9 6
total 96.00 90.00 80.00 86.00 80.00

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
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17 

sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.1

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.2      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3.9000 GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.0  collapse_1.4.2  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_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_0.4.9              readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.0.2           jsonlite_1.7.1          
[40] zip_2.1.1                car_3.0-10               magrittr_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_0.10.1.2.0
[67] data.table_1.13.2        modelr_0.1.8             vctrs_0.3.5             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.18               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.7.0      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_0.1