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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove 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:

  • 112

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 + temp + aou + nitrate + phosphate_star 0.7937326 137.54471 2.0383256 1982-1999 –> 2000-2012 2.641875 362.9892
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7425615 130.61405 2.1602026 1982-1999 –> 2000-2012 2.257729 335.3984
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6796001 121.39953 1.9766954 1982-1999 –> 2000-2012 2.536204 347.3190
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.6802298 121.49586 1.9749797 1982-1999 –> 2000-2012 2.516444 346.2669
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.7886333 136.87441 2.0222800 1982-1999 –> 2000-2012 2.622443 361.5092
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7256169 128.21337 2.8004232 1982-1999 –> 2000-2012 2.559006 352.8243
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.6785582 121.23996 1.9748939 1982-1999 –> 2000-2012 2.506136 345.5207
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.7201028 127.42003 1.6036461 1982-1999 –> 2000-2012 2.157164 326.7000
Atlantic (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.7570324 130.62129 2.1365217 1982-1999 –> 2000-2012 2.421801 343.1983
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.6801275 121.48021 1.9354268 1982-1999 –> 2000-2012 2.046535 315.5171
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.1006332 2193.16155 12.1277563 1982-1999 –> 2000-2012 7.227656 3942.1771
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8498325 2144.56550 11.3406948 1982-1999 –> 2000-2012 6.934103 3884.2475
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.1794031 2207.81236 12.0342114 1982-1999 –> 2000-2012 7.413936 3979.7465
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.1899456 2209.75223 12.0912094 1982-1999 –> 2000-2012 7.435090 3983.9070
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9284879 2160.13871 11.8726573 1982-1999 –> 2000-2012 7.116392 3922.2275
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9475480 2163.86553 12.1138485 1982-1999 –> 2000-2012 7.155016 3930.1025
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.2118854 2213.77367 12.0852389 1982-1999 –> 2000-2012 7.480355 3992.7843
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.9857095 2171.27349 15.8389512 1982-1999 –> 2000-2012 7.581515 4014.9965
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.8778213 2150.14325 13.3086856 1982-1999 –> 2000-2012 7.118676 3923.4012
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9565582 2165.62104 12.1792405 1982-1999 –> 2000-2012 7.171665 3933.4709
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.2470048 17.70635 0.6965857 2000-2012 –> 2013-2019 4.399081 2220.4675
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.2630006 29.00115 0.6287574 2000-2012 –> 2013-2019 4.574204 2260.7210
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4920821 141.76919 1.2308406 2000-2012 –> 2013-2019 4.341915 2286.3347
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4778251 136.47703 1.4317248 2000-2012 –> 2013-2019 4.406313 2296.6157
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.4795344 137.11981 1.3774552 2000-2012 –> 2013-2019 4.427082 2300.9853
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.6839690 201.03725 1.9596135 2000-2012 –> 2013-2019 4.561790 2351.1805
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4812056 137.74603 1.3377745 2000-2012 –> 2013-2019 4.437764 2303.3671
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.2532935 22.23178 0.7052866 2000-2012 –> 2013-2019 4.400048 2224.0056
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.2521798 21.43860 0.7043631 2000-2012 –> 2013-2019 4.394218 2222.3360
Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.2644126 29.96490 0.7125578 2000-2012 –> 2013-2019 4.407370 2231.0333
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.9148484 3226.40726 12.5962603 1982-1999 –> 2000-2012 6.582372 5040.4740
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.9905160 3246.49937 13.2593410 1982-1999 –> 2000-2012 6.701146 5070.5891
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9779260 3244.85277 13.5952314 1982-1999 –> 2000-2012 6.688495 5070.9256
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0084838 3253.68374 14.0032583 1982-1999 –> 2000-2012 6.774470 5094.9357
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.0305893 3260.03020 14.2182835 1982-1999 –> 2000-2012 6.830336 5110.3808
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.9635116 3240.66356 12.8027484 1982-1999 –> 2000-2012 6.693086 5071.9768
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.9846366 3246.79788 12.8747444 1982-1999 –> 2000-2012 6.749397 5087.7172
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4.0512643 3263.93455 13.5684491 1982-1999 –> 2000-2012 6.828831 5106.3200
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8852070 3217.63649 15.2548013 1982-1999 –> 2000-2012 6.514412 5020.8515
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.0022591 3251.89032 12.9874672 1982-1999 –> 2000-2012 6.788489 5098.6112
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.7715554 218.08814 2.2781912 2000-2012 –> 2013-2019 4.686404 3444.4954
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8674123 238.69878 2.7394787 2000-2012 –> 2013-2019 4.845338 3483.5515
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8549176 236.14515 2.9671259 2000-2012 –> 2013-2019 4.863401 3489.8289
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8548922 236.13992 2.9919839 2000-2012 –> 2013-2019 4.885482 3496.1701
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8552375 236.21099 3.0267136 2000-2012 –> 2013-2019 4.891706 3497.9234
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.8963823 244.48085 2.4040161 2000-2012 –> 2013-2019 4.938107 3507.6949
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.7210226 206.16625 2.2872240 2000-2012 –> 2013-2019 4.684534 3446.8298
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7134922 204.31843 2.2893069 2000-2012 –> 2013-2019 4.698129 3451.1163
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.9406936 252.97293 4.1222795 2000-2012 –> 2013-2019 4.825901 3470.6094
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.6971733 200.24625 2.2643964 2000-2012 –> 2013-2019 4.699432 3452.1366
Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.3792218 4530.56693 8.4210109 1982-1999 –> 2000-2012 4.069621 7565.3924
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6434289 4736.64652 13.2021442 1982-1999 –> 2000-2012 4.363980 7796.9468
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5746524 4686.55444 12.6781530 1982-1999 –> 2000-2012 4.294470 7748.1922
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6417887 4737.42007 12.7501154 1982-1999 –> 2000-2012 4.520566 7936.4359
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6915218 4774.27350 12.8764385 1982-1999 –> 2000-2012 4.646484 8035.0600
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.4590665 4595.79139 8.5627484 1982-1999 –> 2000-2012 4.308561 7770.3958
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.4891171 4619.79238 8.5989099 1982-1999 –> 2000-2012 4.411351 7854.3434
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.7687880 4828.20004 13.6671366 1982-1999 –> 2000-2012 4.653162 8029.8379
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5666100 4680.37242 12.5707309 1982-1999 –> 2000-2012 4.151667 7615.2065
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.5338283 4654.97167 8.7463848 1982-1999 –> 2000-2012 4.495581 7921.1468
Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.4037978 601.21202 7.0660316 2000-2012 –> 2013-2019 3.783020 5131.7789
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.3655818 591.99338 4.9889315 2000-2012 –> 2013-2019 4.055688 5365.2275
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 1.4667167 613.85627 4.2667700 2000-2012 –> 2013-2019 4.213294 5426.1416
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4447773 610.82251 4.0999012 2000-2012 –> 2013-2019 4.019430 5297.3769
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4556896 613.33570 4.1998082 2000-2012 –> 2013-2019 4.097478 5350.7558
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4792530 618.69891 4.3098683 2000-2012 –> 2013-2019 4.170775 5392.9724
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4979120 622.88557 4.3924471 2000-2012 –> 2013-2019 4.208497 5411.1054
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.4000390 600.31650 5.7699917 2000-2012 –> 2013-2019 3.859106 5196.1079
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4054166 601.59695 5.5797114 2000-2012 –> 2013-2019 3.894534 5221.3893
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.4288426 607.11829 5.0374067 2000-2012 –> 2013-2019 3.962671 5262.0900
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.9123197 5049.83445 8.1301103 1982-1999 –> 2000-2012 3.338504 8515.9238
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.0081695 5168.97102 8.2215000 1982-1999 –> 2000-2012 3.504224 8728.1346
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.1776058 5364.29288 10.7828072 1982-1999 –> 2000-2012 3.684981 8936.1270
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.1709172 5358.79901 11.1074919 1982-1999 –> 2000-2012 3.547196 8755.5731
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1769654 5365.57639 10.8846203 1982-1999 –> 2000-2012 3.584662 8806.2740
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2131293 5405.71093 10.9107855 1982-1999 –> 2000-2012 3.664355 8905.6723
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2215346 5414.94517 10.9088576 1982-1999 –> 2000-2012 3.685525 8931.9482
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.0278067 5192.67612 8.9843589 1982-1999 –> 2000-2012 3.559271 8797.3627
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0305857 5196.01214 9.0014257 1982-1999 –> 2000-2012 3.597430 8845.1449
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.1138760 5293.93684 9.4724045 1982-1999 –> 2000-2012 3.723659 8995.6802
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.3449642 1067.19786 5.2339601 2000-2012 –> 2013-2019 3.257284 6117.0323
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.5875081 1168.99791 6.5311642 2000-2012 –> 2013-2019 3.595678 6337.9689
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.7380523 1224.62605 6.9461183 2000-2012 –> 2013-2019 3.923249 6599.3951
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9511903 1295.65017 5.9655197 2000-2012 –> 2013-2019 4.122108 6654.4492
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.4550223 1115.49130 5.7219429 2000-2012 –> 2013-2019 3.452790 6271.8113
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9396341 1292.00286 5.9933663 2000-2012 –> 2013-2019 4.116600 6657.5792
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 1.4601623 1115.65647 5.6218791 2000-2012 –> 2013-2019 3.493486 6312.9511
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.4594377 1117.35170 5.6066817 2000-2012 –> 2013-2019 3.487244 6310.0278
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4601335 1117.64436 5.6195162 2000-2012 –> 2013-2019 3.490719 6313.6565
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.5460166 1152.73682 5.6965630 2000-2012 –> 2013-2019 3.659893 6446.6737
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.1806906 11384.62684 14.5146584 1982-1999 –> 2000-2012 4.650774 16219.6031
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.3611268 11626.18212 19.3613010 1982-1999 –> 2000-2012 4.847674 16488.9167
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3607609 11627.70159 19.4887616 1982-1999 –> 2000-2012 4.676954 16167.2210
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.1966121 11406.66666 10.1142689 1982-1999 –> 2000-2012 4.988835 16771.0673
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3517878 11615.90064 18.8661511 1982-1999 –> 2000-2012 4.597047 16007.3917
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2781228 11517.80856 20.2126766 1982-1999 –> 2000-2012 4.568056 16003.4779
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.2514857 11481.79523 19.4800372 1982-1999 –> 2000-2012 4.616573 16118.7750
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.2781177 11517.80174 20.1739420 1982-1999 –> 2000-2012 4.583984 16036.2740
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4170689 11701.04347 9.6831060 1982-1999 –> 2000-2012 4.999467 16732.7390
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.1303549 11314.21485 8.3159230 1982-1999 –> 2000-2012 4.652269 16241.7745
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2.7209796 2044.74162 16.7465636 2000-2012 –> 2013-2019 5.996055 13556.4453
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.7020060 2040.86373 17.3286306 2000-2012 –> 2013-2019 5.882697 13425.4906
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.6756927 2032.64335 16.8992454 2000-2012 –> 2013-2019 5.905816 13485.3421
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.3747936 1932.43322 16.8184924 2000-2012 –> 2013-2019 5.571406 13339.0999
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8408023 2082.94104 13.7070791 2000-2012 –> 2013-2019 6.118925 13600.7496
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8379208 2082.08857 13.5798835 2000-2012 –> 2013-2019 6.116039 13599.8903
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.5175069 1979.45442 16.2204686 2000-2012 –> 2013-2019 5.944365 13691.1249
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.2734301 1895.79174 16.1840811 2000-2012 –> 2013-2019 5.693303 13600.4559
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.3350914 1918.27125 17.8915346 2000-2012 –> 2013-2019 5.752160 13619.3147
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.1781406 1859.82450 12.4004770 2000-2012 –> 2013-2019 5.308496 13174.0394
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.4759079 18111.39658 20.4471362 1982-1999 –> 2000-2012 3.857387 27686.0046
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.3676671 17763.52542 20.8579107 1982-1999 –> 2000-2012 3.917664 27969.7924
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.4758060 18111.07630 20.5113213 1982-1999 –> 2000-2012 3.809717 27493.3857
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.5191026 18245.99071 22.6025088 1982-1999 –> 2000-2012 3.866083 27681.8101
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3717098 17776.80138 19.9641386 1982-1999 –> 2000-2012 3.895509 27889.5183
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3699314 17770.96390 22.0826120 1982-1999 –> 2000-2012 3.791695 27503.3144
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.4923417 18162.87887 22.2710135 1982-1999 –> 2000-2012 3.792248 27403.4742
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3725304 17779.49368 21.7326573 1982-1999 –> 2000-2012 3.788911 27491.0263
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3687540 17767.09676 21.9288321 1982-1999 –> 2000-2012 3.789706 27496.3125
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.4908191 18156.12326 24.6829920 1982-1999 –> 2000-2012 3.922036 27922.8418
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.4110374 3628.02114 14.4496534 2000-2012 –> 2013-2019 4.886945 21739.4177
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.3022999 3555.47569 9.5320181 2000-2012 –> 2013-2019 4.669967 21319.0011
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.3041759 3554.75607 9.7753758 2000-2012 –> 2013-2019 4.682061 21349.7944
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2491988 3518.79380 9.7978942 2000-2012 –> 2013-2019 4.623444 21303.9091
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.4087190 3626.50885 14.1164464 2000-2012 –> 2013-2019 4.884525 21737.5852
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2714707 3534.28343 9.9105276 2000-2012 –> 2013-2019 4.643180 21311.0848
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2246429 3501.53693 9.5192421 2000-2012 –> 2013-2019 4.594574 21272.5008
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.2245250 3501.45360 9.6871879 2000-2012 –> 2013-2019 4.597055 21280.9473
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2249872 3501.78021 9.5414589 2000-2012 –> 2013-2019 4.593741 21268.8770
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.2499563 3517.32316 9.5658104 2000-2012 –> 2013-2019 4.740775 21673.4464
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.3154587 5489.56287 8.1599163 1982-1999 –> 2000-2012 1.921496 7271.8728
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2129656 5227.22996 6.7299404 1982-1999 –> 2000-2012 1.871257 7168.8314
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.3640870 5606.95674 8.3990004 1982-1999 –> 2000-2012 1.990051 7451.5726
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1949278 5178.77657 6.5850604 1982-1999 –> 2000-2012 1.916780 7297.9008
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2500487 5324.61950 6.8504419 1982-1999 –> 2000-2012 1.932154 7334.6632
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3139417 5485.83113 7.1958200 1982-1999 –> 2000-2012 2.034934 7602.6618
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.4077138 5708.76851 8.6957969 1982-1999 –> 2000-2012 2.056658 7622.8242
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3138795 5485.67821 7.1917099 1982-1999 –> 2000-2012 2.035477 7604.1233
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3113548 5479.45780 7.1502712 1982-1999 –> 2000-2012 2.032052 7595.4995
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3400096 5547.36398 7.8584620 1982-1999 –> 2000-2012 2.063365 7668.4960
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.7749171 654.16665 2.9536637 2000-2012 –> 2013-2019 2.090376 6143.7295
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.9905261 789.18068 3.3077565 2000-2012 –> 2013-2019 2.285303 6227.4935
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0165068 803.42082 3.1798837 2000-2012 –> 2013-2019 2.229472 6030.6508
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.7936637 667.31372 3.1511305 2000-2012 –> 2013-2019 2.157751 6274.2705
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8599956 711.46079 5.0940172 2000-2012 –> 2013-2019 2.054923 5890.2374
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0461453 819.22795 3.5405548 2000-2012 –> 2013-2019 2.296194 6143.8475
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0755760 834.48719 3.7717337 2000-2012 –> 2013-2019 2.389518 6320.3183
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.8042436 674.59701 3.2440829 2000-2012 –> 2013-2019 2.211958 6383.3655
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0727121 833.02077 3.7565756 2000-2012 –> 2013-2019 2.386592 6318.6990
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0761036 834.75691 3.7751058 2000-2012 –> 2013-2019 2.387458 6314.2147
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.6555844 5944.81747 17.7128721 1982-1999 –> 2000-2012 2.559323 8665.4211
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5256091 5692.66874 10.8737589 1982-1999 –> 2000-2012 2.569182 8708.7726
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.7398458 6097.91483 19.0878809 1982-1999 –> 2000-2012 2.665841 8868.4903
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.3019106 5203.66711 9.0765853 1982-1999 –> 2000-2012 2.222783 7962.8467
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5913110 5822.70387 11.0594737 1982-1999 –> 2000-2012 2.668254 8903.4586
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.7987585 6200.61275 20.0634258 1982-1999 –> 2000-2012 2.746599 9019.0815
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6503799 5935.10750 11.1258276 1982-1999 –> 2000-2012 2.768213 9092.4059
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.5640945 5769.50139 8.4091510 1982-1999 –> 2000-2012 2.606583 8783.4698
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.5843269 5807.13886 8.3836632 1982-1999 –> 2000-2012 2.629844 8825.0655
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5788892 5798.53573 8.5359223 1982-1999 –> 2000-2012 2.623705 8817.0844
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.7176497 524.96745 3.5283041 2000-2012 –> 2013-2019 2.373234 6469.7849
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1438177 744.05571 5.9924546 2000-2012 –> 2013-2019 2.669427 6436.7245
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.7474127 544.06638 3.7097462 2000-2012 –> 2013-2019 2.487259 6641.9812
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8515724 605.38583 4.1848260 2000-2012 –> 2013-2019 2.751837 6975.2995
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7666199 555.99193 3.6736419 2000-2012 –> 2013-2019 2.068531 5759.6590
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2116338 771.12689 6.4619187 2000-2012 –> 2013-2019 2.802945 6593.8308
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.7636545 554.17038 3.7610985 2000-2012 –> 2013-2019 2.562413 6754.7831
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.0694323 712.45127 5.5413366 2000-2012 –> 2013-2019 2.633527 6481.9527
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.0964793 722.19020 6.3060746 2000-2012 –> 2013-2019 2.680806 6529.3291
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0954227 723.73708 6.4534540 2000-2012 –> 2013-2019 2.674312 6522.2728
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.4194847 8708.21393 12.8962985 1982-1999 –> 2000-2012 4.145529 13748.0983
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.7757241 9226.87434 9.8921455 1982-1999 –> 2000-2012 5.052352 14974.9734
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.8464175 9321.83888 10.5636896 1982-1999 –> 2000-2012 5.258346 15217.6147
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.0088610 9531.40857 15.6201568 1982-1999 –> 2000-2012 5.151553 15124.4100
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2.8623519 9342.91822 11.5244830 1982-1999 –> 2000-2012 5.357487 15325.4523
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.0595574 9594.50037 15.2606684 1982-1999 –> 2000-2012 5.294991 15295.8903
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.3747253 8637.70549 12.9325043 1982-1999 –> 2000-2012 4.026671 13565.3488
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.2906491 8501.59373 12.3869725 1982-1999 –> 2000-2012 3.813608 13221.2740
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate 2.8778649 9361.32771 11.9770283 1982-1999 –> 2000-2012 5.373311 15342.1800
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.3627378 8618.59607 12.9740113 1982-1999 –> 2000-2012 3.988913 13506.0193
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.7324811 603.25423 3.6248296 2000-2012 –> 2013-2019 3.151966 9311.4682
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.4959800 395.82646 2.3820555 2000-2012 –> 2013-2019 3.752773 10226.2236
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.8864644 704.76166 3.9529777 2000-2012 –> 2013-2019 3.662189 9931.6360
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.5323420 433.46570 2.4854338 2000-2012 –> 2013-2019 3.701983 10161.4401
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6090338 505.06630 2.7410760 2000-2012 –> 2013-2019 3.617895 10036.4749
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.5525053 453.24385 2.5187432 2000-2012 –> 2013-2019 3.688619 10141.0648
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.7043983 582.45651 3.7844240 2000-2012 –> 2013-2019 3.763956 10176.9569
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.7562083 620.21407 3.5703610 2000-2012 –> 2013-2019 3.130934 9257.9196
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.8248152 666.41425 4.0059800 2000-2012 –> 2013-2019 3.115464 9168.0080
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.7663033 627.26900 3.5538066 2000-2012 –> 2013-2019 3.129041 9245.8651
Atlantic (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.2683102 3618.81390 8.0564941 1982-1999 –> 2000-2012 2.001830 5240.9193
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.3328527 3726.82186 9.1528800 1982-1999 –> 2000-2012 2.046518 5309.1372
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.3339554 3726.62135 9.0930907 1982-1999 –> 2000-2012 2.048873 5309.4799
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3255248 3714.82538 8.5768042 1982-1999 –> 2000-2012 2.039678 5298.1328
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2354271 3561.65308 9.6650488 1982-1999 –> 2000-2012 1.913368 5069.5058
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.1340855 3375.40884 9.5734498 1982-1999 –> 2000-2012 1.773133 4797.5951
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.2917140 3658.60099 8.1292950 1982-1999 –> 2000-2012 2.044246 5317.8108
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.2354727 3559.73332 9.6559647 1982-1999 –> 2000-2012 1.932109 5105.0313
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1146372 3337.76924 8.1067583 1982-1999 –> 2000-2012 1.744671 4739.3563
Atlantic (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.3004841 3673.32511 8.1444726 1982-1999 –> 2000-2012 2.063182 5351.9903
Atlantic (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.4093399 209.57123 2.4468935 2000-2012 –> 2013-2019 1.677650 3828.3851
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.4044871 205.13473 1.6528541 2000-2012 –> 2013-2019 1.737340 3931.9566
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.4291476 225.15010 1.7846102 2000-2012 –> 2013-2019 1.763103 3951.7715
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4195171 218.70700 1.7112354 2000-2012 –> 2013-2019 1.745042 3933.5324
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.3366016 136.79097 1.5570948 2000-2012 –> 2013-2019 1.572029 3698.4441
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.3853806 187.13429 2.4624049 2000-2012 –> 2013-2019 1.519466 3562.5431
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.4268512 225.15420 2.4188623 2000-2012 –> 2013-2019 1.718565 3883.7552
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.4580099 249.36351 2.6788983 2000-2012 –> 2013-2019 1.693483 3809.0968
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.3431583 143.96758 2.4199022 2000-2012 –> 2013-2019 1.457796 3481.7368
Atlantic (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.4351389 232.30768 2.4070344 2000-2012 –> 2013-2019 1.735623 3905.6328
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.1545187 4895.63132 9.8390700 1982-1999 –> 2000-2012 1.774098 6500.4892
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2890323 5239.92190 10.1610007 1982-1999 –> 2000-2012 1.902057 6826.7865
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3018181 5270.75581 9.9780068 1982-1999 –> 2000-2012 1.924254 6883.3978
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3160440 5304.70901 9.8277627 1982-1999 –> 2000-2012 1.952681 6955.5194
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3060962 5281.00535 9.9808255 1982-1999 –> 2000-2012 1.937269 6917.2336
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.2615543 5172.60831 13.7852239 1982-1999 –> 2000-2012 1.778774 6471.9365
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.1640061 4921.19844 9.7613996 1982-1999 –> 2000-2012 1.800653 6572.0378
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.1940208 5000.73188 9.4611998 1982-1999 –> 2000-2012 1.864047 6738.0331
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1193241 4798.91706 13.5869094 1982-1999 –> 2000-2012 1.624702 6059.0587
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.1654121 4924.96949 9.7688269 1982-1999 –> 2000-2012 1.810595 6598.3428
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.4656265 381.86665 1.5334255 2000-2012 –> 2013-2019 1.620145 5277.4980
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3856113 275.89937 1.4310718 2000-2012 –> 2013-2019 1.674644 5515.8213
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.3922726 285.52476 1.6867747 2000-2012 –> 2013-2019 1.707158 5587.4826
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4043632 302.58522 1.4758757 2000-2012 –> 2013-2019 1.706181 5573.3410
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4178209 320.98475 1.5136772 2000-2012 –> 2013-2019 1.723917 5601.9901
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.2573198 48.56465 0.9105788 2000-2012 –> 2013-2019 1.518874 5221.1730
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.4989760 420.74261 1.5764334 2000-2012 –> 2013-2019 1.662982 5341.9411
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5341289 459.00314 1.6821036 2000-2012 –> 2013-2019 1.728150 5459.7350
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2771681 90.32370 1.1114077 2000-2012 –> 2013-2019 1.396492 4889.2408
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.5145262 437.98949 1.5622033 2000-2012 –> 2013-2019 1.679938 5362.9590
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.9346136 8011.09067 12.7411800 1982-1999 –> 2000-2012 1.628318 11172.1379
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.9373108 8028.14490 12.9880538 1982-1999 –> 2000-2012 1.584418 10981.4254
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.9600630 8168.08193 11.7993448 1982-1999 –> 2000-2012 1.614205 11151.6709
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.9530785 8126.87123 12.7810863 1982-1999 –> 2000-2012 1.600399 11081.1353
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.9555765 8142.36133 12.5573844 1982-1999 –> 2000-2012 1.601177 11088.6785
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.9583722 8159.65070 12.3221925 1982-1999 –> 2000-2012 1.610870 11137.7183
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7654124 6829.15714 25.0683926 1982-1999 –> 2000-2012 1.549113 10354.6870
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.9602056 8170.96090 12.8961438 1982-1999 –> 2000-2012 1.613592 11153.0957
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.6921378 6233.63086 15.1906175 1982-1999 –> 2000-2012 1.260577 8799.6161
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8182781 7224.40533 13.5294387 1982-1999 –> 2000-2012 1.621210 10822.3698
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 0.5323378 702.69234 2.1202310 2000-2012 –> 2013-2019 1.469659 8728.9007
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.4934699 638.27706 2.2175468 2000-2012 –> 2013-2019 1.428084 8649.3677
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.5322625 704.56839 2.1282303 2000-2012 –> 2013-2019 1.469573 8732.7133
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.5172736 679.54551 2.2423627 2000-2012 –> 2013-2019 1.475646 8839.1962
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.4842522 621.75921 1.6393860 2000-2012 –> 2013-2019 1.249665 7450.9164
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.3264351 276.28689 1.9488854 2000-2012 –> 2013-2019 1.018573 6509.9177
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.5200793 682.28413 2.2713444 2000-2012 –> 2013-2019 1.485436 8882.9085
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.5142160 674.35210 2.3102555 2000-2012 –> 2013-2019 1.466232 8794.6246
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5159584 677.31541 2.3130401 2000-2012 –> 2013-2019 1.473234 8830.1915
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.5312958 702.97592 2.3741967 2000-2012 –> 2013-2019 1.490469 8867.5696
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 0.6783346 12167.47552 4.5796891 1982-1999 –> 2000-2012 1.188928 15822.1590
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.6783138 12169.11427 4.5561621 1982-1999 –> 2000-2012 1.187541 15812.7274
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.6784036 12168.67486 4.5156779 1982-1999 –> 2000-2012 1.196928 15898.5425
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.6615632 11872.26055 4.3245696 1982-1999 –> 2000-2012 1.196177 15751.1882
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.6238140 11181.44195 3.8537199 1982-1999 –> 2000-2012 1.092933 14424.8767
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.6380153 11446.88016 4.6598571 1982-1999 –> 2000-2012 1.145340 15072.2337
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.6782631 12168.23217 4.5367021 1982-1999 –> 2000-2012 1.187880 15815.5789
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6783961 12170.54493 4.5269884 1982-1999 –> 2000-2012 1.189030 15827.6076
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6572459 11797.05538 4.5957727 1982-1999 –> 2000-2012 1.191738 15676.8736
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.6817934 12229.44954 4.4889914 1982-1999 –> 2000-2012 1.187819 15842.2926
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 0.4390982 954.72389 2.4385698 2000-2012 –> 2013-2019 1.117433 13122.1994
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.4385143 954.61860 2.3431138 2000-2012 –> 2013-2019 1.116828 13123.7329
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.4444906 974.03342 1.9381796 2000-2012 –> 2013-2019 1.122894 13142.7083
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.4449066 975.51344 1.8686116 2000-2012 –> 2013-2019 1.106470 12847.7740
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.3905488 771.36055 2.0108686 2000-2012 –> 2013-2019 1.014363 11952.8025
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.4267565 911.62170 1.5887800 2000-2012 –> 2013-2019 1.064772 12358.5019
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.4386456 955.09235 2.3559639 2000-2012 –> 2013-2019 1.116909 13123.3245
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.4378294 952.14581 2.3570728 2000-2012 –> 2013-2019 1.116226 13122.6907
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.4448646 977.36411 1.8488413 2000-2012 –> 2013-2019 1.102110 12774.4195
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.4418208 966.50277 2.3913337 2000-2012 –> 2013-2019 1.123614 13195.9523
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5.4926994 16362.66837 35.4003308 1982-1999 –> 2000-2012 10.713432 23177.1380
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.8788276 16716.38927 24.7102565 1982-1999 –> 2000-2012 11.164825 23556.3650
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.6447816 16505.67236 22.4725361 1982-1999 –> 2000-2012 10.813017 23297.7666
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5.8036051 16650.95975 41.1304785 1982-1999 –> 2000-2012 10.725565 23334.9566
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.8892665 16727.67850 44.4742950 1982-1999 –> 2000-2012 10.970776 23482.3051
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.8157682 16661.92181 26.1111201 1982-1999 –> 2000-2012 10.851627 23396.5686
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.0163238 16839.44063 20.8733316 1982-1999 –> 2000-2012 10.995581 23549.0619
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.1470699 16952.01005 22.9824705 1982-1999 –> 2000-2012 11.332591 23751.4970
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5.9601691 16790.33976 42.1792911 1982-1999 –> 2000-2012 11.103352 23571.6757
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.1765125 16977.02897 23.5744309 1982-1999 –> 2000-2012 11.400750 23792.9845
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.1553339 12172.08470 19.1867014 2000-2012 –> 2013-2019 9.648033 28534.7531
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.6853690 13510.62459 23.6747249 2000-2012 –> 2013-2019 11.564197 30227.0139
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.3223262 13230.47030 23.0804439 2000-2012 –> 2013-2019 10.967108 29736.1427
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 4.2460706 12262.45145 16.0136752 2000-2012 –> 2013-2019 10.793759 29543.0446
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.2396733 12258.00422 16.5539530 2000-2012 –> 2013-2019 10.043278 28908.9640
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.2434104 12261.77165 16.4254233 2000-2012 –> 2013-2019 10.132677 28989.4502
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.9002982 11901.24386 14.3350324 2000-2012 –> 2013-2019 10.050924 28856.2818
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.5191033 13385.71024 24.6378243 2000-2012 –> 2013-2019 11.334872 30047.6320
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.7061331 13528.21298 27.5315978 2000-2012 –> 2013-2019 11.722457 30367.6536
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.3608599 12378.51492 18.2431901 2000-2012 –> 2013-2019 10.321029 29168.8547
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.8110221 15597.08821 42.9010773 1982-1999 –> 2000-2012 8.269773 23723.6190
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5032117 15252.47754 40.4744945 1982-1999 –> 2000-2012 8.342611 23697.4538
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.9580162 15753.94937 47.0879870 1982-1999 –> 2000-2012 8.381977 23849.6461
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.0998014 15900.90632 47.2712918 1982-1999 –> 2000-2012 8.619244 24080.4918
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6123030 15377.23436 43.9787355 1982-1999 –> 2000-2012 8.508341 23866.8756
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.7434863 15523.40518 43.8818180 1982-1999 –> 2000-2012 8.721759 24076.7534
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5.1332044 15934.93291 47.1810208 1982-1999 –> 2000-2012 8.672304 24131.5064
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7693627 15551.76017 43.8495858 1982-1999 –> 2000-2012 8.760615 24115.0433
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.8545476 15644.02943 45.6654429 1982-1999 –> 2000-2012 8.720053 24109.6742
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.8906367 15682.63249 46.4559387 1982-1999 –> 2000-2012 8.772397 24161.0757
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.0778086 8295.42889 22.4163150 2000-2012 –> 2013-2019 8.974513 23984.5234
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.0780188 8293.58005 22.3634021 2000-2012 –> 2013-2019 9.116485 24129.4221
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7055665 8014.76738 20.8655954 2000-2012 –> 2013-2019 8.208778 23267.2449
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7655878 8061.87819 20.8331851 2000-2012 –> 2013-2019 8.377891 23439.1126
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7919676 8082.34674 20.6606615 2000-2012 –> 2013-2019 8.535454 23605.7519
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.8043799 8091.92839 20.6531455 2000-2012 –> 2013-2019 8.573743 23643.6886
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.0911728 8305.02228 22.0707428 2000-2012 –> 2013-2019 8.945721 23949.0517
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1023332 8313.00962 21.9710538 2000-2012 –> 2013-2019 8.992970 23995.6421
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0780046 8295.56981 22.3515988 2000-2012 –> 2013-2019 9.107144 24123.7549
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.1095596 8318.16988 21.9060860 2000-2012 –> 2013-2019 9.019364 24021.1900
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 5.0043453 14354.44646 24.4644076 1982-1999 –> 2000-2012 8.260619 20685.2847
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.7678233 14125.24167 18.1485941 1982-1999 –> 2000-2012 7.862538 20332.4226
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.8945360 14247.41268 17.3590254 1982-1999 –> 2000-2012 8.349712 20720.3256
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5792922 13934.24644 18.7286909 1982-1999 –> 2000-2012 7.794183 20234.0052
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.9506106 14303.33968 20.0791736 1982-1999 –> 2000-2012 8.136680 20581.2153
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.0223808 14371.47698 20.2004134 1982-1999 –> 2000-2012 8.328090 20738.9299
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.6353942 13991.89142 15.3087346 1982-1999 –> 2000-2012 8.065684 20449.2389
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.7897998 14147.01208 19.2570538 1982-1999 –> 2000-2012 8.232886 20613.4071
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5.0236403 14372.66395 20.0559201 1982-1999 –> 2000-2012 8.344219 20751.0224
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.7291174 14086.65351 15.8951232 1982-1999 –> 2000-2012 8.228443 20592.4201
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.4122999 7042.63938 19.9623840 2000-2012 –> 2013-2019 8.416645 21397.0858
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.4957027 7104.77613 19.1678607 2000-2012 –> 2013-2019 8.553330 21507.3593
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2584428 6920.09918 16.6705200 2000-2012 –> 2013-2019 7.837735 20854.3456
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.4562515 7076.63113 14.3411426 2000-2012 –> 2013-2019 8.091646 21068.5226
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.4319686 7057.90474 18.1822538 2000-2012 –> 2013-2019 8.221768 21204.9168
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.4812795 7095.79486 18.6137498 2000-2012 –> 2013-2019 8.346282 21316.5563
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.3840924 7020.59248 19.4181539 2000-2012 –> 2013-2019 8.236758 21229.3338
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4851419 7098.74004 18.5844497 2000-2012 –> 2013-2019 8.351310 21320.6351
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.5317033 7131.98914 17.1812619 2000-2012 –> 2013-2019 8.400682 21354.6178
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1134216 6799.17921 18.0981616 2000-2012 –> 2013-2019 7.842539 20885.8327
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.4086888 19569.15179 15.7382956 1982-1999 –> 2000-2012 7.436280 28702.5602
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.4063133 19567.52019 15.7611300 1982-1999 –> 2000-2012 7.375471 28632.5736
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.1756861 19205.28751 16.9079614 1982-1999 –> 2000-2012 7.039703 28140.1887
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3375013 19459.46470 15.1634098 1982-1999 –> 2000-2012 7.506199 28757.3205
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3368038 19460.38112 15.3154320 1982-1999 –> 2000-2012 7.457257 28704.8502
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.3760383 19521.06489 13.8781491 1982-1999 –> 2000-2012 7.319411 28554.6305
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.4883426 19691.80368 13.9921590 1982-1999 –> 2000-2012 7.599424 28925.4147
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.2495218 19323.38982 21.2569544 1982-1999 –> 2000-2012 7.375870 28574.6728
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.4671209 19659.86962 13.9095734 1982-1999 –> 2000-2012 7.591869 28909.3050
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.2479742 19320.93545 22.2632655 1982-1999 –> 2000-2012 7.266406 28445.4060
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.8856714 9775.23986 12.8887284 2000-2012 –> 2013-2019 8.291985 29342.7601
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.8974123 9783.84771 13.1476264 2000-2012 –> 2013-2019 8.524517 29678.8085
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.0001271 9877.31060 14.2345564 2000-2012 –> 2013-2019 8.175813 29082.5981
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.1580082 10011.41505 14.0131777 2000-2012 –> 2013-2019 8.495510 29470.8798
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8515106 9744.19232 12.4088939 2000-2012 –> 2013-2019 8.188314 29204.5734
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9424165 9826.21512 16.0460137 2000-2012 –> 2013-2019 8.191938 29149.6049
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.9303975 9815.47975 16.5688758 2000-2012 –> 2013-2019 8.178372 29136.4152
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.9640790 9851.07411 13.7342316 2000-2012 –> 2013-2019 8.524249 29649.8534
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.0075434 9881.82322 17.1289126 2000-2012 –> 2013-2019 8.390493 29411.5218
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8154542 9711.12179 14.9440193 2000-2012 –> 2013-2019 8.197363 29241.2192
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 5.0641352 26938.09345 33.5316266 1982-1999 –> 2000-2012 7.546029 36937.0434
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.6634418 26210.26162 29.8241826 1982-1999 –> 2000-2012 7.107858 36145.9378
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5.0405460 26898.75438 34.6092812 1982-1999 –> 2000-2012 7.476545 36819.6326
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.1175553 25107.99035 24.7855935 1982-1999 –> 2000-2012 6.873540 35558.3310
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.1491491 25175.66744 23.7561957 1982-1999 –> 2000-2012 6.601153 35124.6378
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.9211838 26686.56555 29.2132815 1982-1999 –> 2000-2012 7.369068 36628.3229
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5.1088926 27018.00237 28.9822154 1982-1999 –> 2000-2012 7.635904 37096.2389
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.1496432 25174.72176 23.5155063 1982-1999 –> 2000-2012 6.971702 35724.7007
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.5598114 23819.27256 15.9687197 1982-1999 –> 2000-2012 6.371953 34356.1491
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5.0563718 26926.50966 28.3465925 1982-1999 –> 2000-2012 7.598609 37030.5176
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7342082 15310.98550 17.5457856 2000-2012 –> 2013-2019 9.397650 41521.2471
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.8524808 15435.91678 19.0689871 2000-2012 –> 2013-2019 9.758635 42093.4001
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.7867600 15367.77164 21.7784153 2000-2012 –> 2013-2019 9.827306 42266.5260
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.6699956 15240.73720 20.0149478 2000-2012 –> 2013-2019 9.758353 42223.0797
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.7571383 15335.84034 20.6677390 2000-2012 –> 2013-2019 9.632228 41939.0839
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.2854132 14798.65599 19.8816771 2000-2012 –> 2013-2019 8.402969 39906.6463
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.3707329 14900.06340 18.6113997 2000-2012 –> 2013-2019 8.519882 40075.7308
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.8926499 15480.32383 17.7047294 2000-2012 –> 2013-2019 9.813834 42166.8894
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.3845451 14914.29362 18.5285404 2000-2012 –> 2013-2019 8.534188 40089.0154
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9757965 14412.89780 16.0587779 2000-2012 –> 2013-2019 7.535608 38232.1704
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.8719320 31495.14654 15.4749639 1982-1999 –> 2000-2012 5.927716 43097.1964
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.5836318 30616.60991 18.0761151 1982-1999 –> 2000-2012 5.916468 42903.3910
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.3848794 29968.76777 11.0720416 1982-1999 –> 2000-2012 5.931237 42729.8785
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5814452 30609.68000 11.8352381 1982-1999 –> 2000-2012 6.153868 43425.9487
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.4301541 30119.62724 14.2725277 1982-1999 –> 2000-2012 5.936153 42794.2096
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5251580 30429.81953 11.3555983 1982-1999 –> 2000-2012 6.134025 43322.2807
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.1416039 32259.60590 28.0231328 1982-1999 –> 2000-2012 6.118689 43650.2515
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.8925879 31555.55658 14.7185394 1982-1999 –> 2000-2012 6.070542 43470.2653
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1055927 28991.03277 18.1092286 1982-1999 –> 2000-2012 5.277244 40890.0471
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.9250229 31649.77195 14.9909796 1982-1999 –> 2000-2012 6.205603 43813.8554
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.7834506 18788.09804 13.6742819 2000-2012 –> 2013-2019 7.367083 49404.7080
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4534928 18165.04078 12.1670983 2000-2012 –> 2013-2019 6.838372 48133.8085
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5440853 18341.84489 14.4077540 2000-2012 –> 2013-2019 7.125531 48951.5249
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.6426960 18527.23214 13.1181427 2000-2012 –> 2013-2019 7.230079 49153.7215
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.6342867 18513.45129 13.5476417 2000-2012 –> 2013-2019 7.064441 48633.0785
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.4889740 18234.83379 13.9696458 2000-2012 –> 2013-2019 7.014132 48664.6533
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5127982 18281.29976 14.3170633 2000-2012 –> 2013-2019 7.079914 48845.4610
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.3919693 18042.30433 14.5267803 2000-2012 –> 2013-2019 7.324634 49714.1617
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4921618 18241.06943 14.1039559 2000-2012 –> 2013-2019 7.036136 48731.3334
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.4011722 18060.80464 15.1116820 2000-2012 –> 2013-2019 6.506765 47051.8374
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.4862684 35313.93871 19.5108356 1982-1999 –> 2000-2012 5.449035 48147.2701
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.2060797 34205.32181 16.1165127 1982-1999 –> 2000-2012 5.236692 47246.7579
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0241735 33432.42665 10.6465044 1982-1999 –> 2000-2012 5.257381 47056.2655
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.3225639 34677.54340 18.6275899 1982-1999 –> 2000-2012 5.361438 47743.8463
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9884236 33275.07418 10.1176771 1982-1999 –> 2000-2012 5.209188 46864.6948
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9972234 33313.98033 10.2433594 1982-1999 –> 2000-2012 5.246259 46981.0716
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2.9613168 33154.50429 10.0430688 1982-1999 –> 2000-2012 5.229002 46872.1682
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 2.9905721 33282.58365 10.2297238 1982-1999 –> 2000-2012 5.341173 47218.1685
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9889979 33277.61687 10.1421194 1982-1999 –> 2000-2012 5.233648 46932.7532
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0421573 33510.87985 20.5245758 1982-1999 –> 2000-2012 5.078814 46570.5186
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4912150 20812.31553 11.8470025 2000-2012 –> 2013-2019 6.697295 55017.6373
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.8040309 19104.37283 12.8427971 2000-2012 –> 2013-2019 5.828204 52536.7995
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8182534 19143.79534 14.0538853 2000-2012 –> 2013-2019 6.033743 53387.8979
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 2.8344254 19186.38030 14.6028909 2000-2012 –> 2013-2019 6.106937 53661.0756
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7904199 19066.45792 12.3385782 2000-2012 –> 2013-2019 5.778844 52341.5321
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7912594 19068.80155 12.3967568 2000-2012 –> 2013-2019 5.788483 52382.7819
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2.9488399 19496.73017 8.6501953 2000-2012 –> 2013-2019 5.910157 52651.2345
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.0642350 19793.83464 8.6039584 2000-2012 –> 2013-2019 6.054807 53076.4183
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7887743 19061.86119 12.2782252 2000-2012 –> 2013-2019 5.777772 52339.4781
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.5488965 20940.00229 14.5586275 2000-2012 –> 2013-2019 6.591054 54450.8821
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.9818921 13083.82813 8.2165596 1982-1999 –> 2000-2012 4.420204 17625.1452
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.0265049 13161.10978 7.5238922 1982-1999 –> 2000-2012 4.411724 17606.8937
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.0304468 13167.88328 7.2803031 1982-1999 –> 2000-2012 4.465373 17703.2158
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.0327255 13171.79497 7.1653693 1982-1999 –> 2000-2012 4.492929 17751.4823
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1691461 13400.77335 9.0529633 1982-1999 –> 2000-2012 4.456443 17660.3404
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.0344044 13174.67501 7.0780008 1982-1999 –> 2000-2012 4.508807 17778.9415
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.0914620 13271.62014 7.1816971 1982-1999 –> 2000-2012 4.230635 17220.6927
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.9813758 13082.92693 8.1821855 1982-1999 –> 2000-2012 4.500929 17763.8080
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.2292613 13496.56294 8.4669179 1982-1999 –> 2000-2012 4.516832 17754.6696
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.9935809 13104.18755 7.6294875 1982-1999 –> 2000-2012 4.276829 17355.7539
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.8598730 7507.11758 9.1937072 2000-2012 –> 2013-2019 5.886378 20668.2274
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.8877219 7536.51915 9.2067472 2000-2012 –> 2013-2019 5.869742 20620.5703
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5122401 7113.90392 9.6533539 2000-2012 –> 2013-2019 5.443854 20109.2376
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.8819962 7530.49749 8.7790030 2000-2012 –> 2013-2019 5.912443 20698.3808
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8717147 7519.65436 10.5831602 2000-2012 –> 2013-2019 5.858344 20611.7429
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5262216 7130.74241 9.1131126 2000-2012 –> 2013-2019 5.456244 20123.2505
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5307179 7136.13763 8.9482479 2000-2012 –> 2013-2019 5.460515 20128.2467
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.5335899 7139.57883 8.8566147 2000-2012 –> 2013-2019 5.463357 20131.6339
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.9121242 7562.04991 9.1004241 2000-2012 –> 2013-2019 5.905705 20666.2375
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.9372281 7588.09234 9.4900025 2000-2012 –> 2013-2019 5.915837 20666.1876
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.0078513 15899.11701 11.5065927 1982-1999 –> 2000-2012 4.610910 21118.5229
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.9589511 15797.78735 11.8981354 1982-1999 –> 2000-2012 4.561874 21018.9610
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.9969531 15878.23457 11.6968691 1982-1999 –> 2000-2012 4.532648 20981.4108
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.9968899 15878.10167 11.7005607 1982-1999 –> 2000-2012 4.575651 21057.4454
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.9968713 15878.06255 11.6991105 1982-1999 –> 2000-2012 4.585532 21074.6222
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.9395547 15756.32764 12.1720814 1982-1999 –> 2000-2012 4.566183 21017.9312
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.9973245 15879.01584 11.7055326 1982-1999 –> 2000-2012 4.602184 21103.5149
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.0070445 15899.42582 11.5367237 1982-1999 –> 2000-2012 4.305061 20539.5286
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.9599058 15799.82109 11.8539137 1982-1999 –> 2000-2012 4.629653 21133.4773
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1542854 16200.78405 17.1829443 1982-1999 –> 2000-2012 4.504044 20948.5356
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.8557365 9003.43315 13.0519220 2000-2012 –> 2013-2019 5.852690 24881.6677
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate_star 2.8715322 9021.52233 14.3166435 2000-2012 –> 2013-2019 5.869318 24899.5089
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 2.9198871 9082.34084 11.4921145 2000-2012 –> 2013-2019 5.863886 24846.1917
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.8872307 9043.37871 14.0858449 2000-2012 –> 2013-2019 5.830829 24808.3712
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.8481123 8993.69689 14.5983138 2000-2012 –> 2013-2019 5.790636 24756.3889
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 2.8674795 9016.37871 12.0637520 2000-2012 –> 2013-2019 5.864730 24893.2397
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.8617034 9011.03506 13.2092227 2000-2012 –> 2013-2019 5.858593 24889.1367
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.8604062 9009.38378 13.3126745 2000-2012 –> 2013-2019 5.857278 24887.4463
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.7930108 8922.54572 11.8257838 2000-2012 –> 2013-2019 5.732565 24678.8734
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.8691017 9020.43843 13.3698129 2000-2012 –> 2013-2019 5.866426 24899.4543
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.6505108 14851.94060 8.5317482 1982-1999 –> 2000-2012 3.385287 21563.3173
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 1.6507753 14851.17867 8.5824558 1982-1999 –> 2000-2012 3.423110 21633.3821
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.6504917 14851.85114 8.5213960 1982-1999 –> 2000-2012 3.404587 21600.8825
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6504798 14851.79528 8.5203422 1982-1999 –> 2000-2012 3.407031 21605.5845
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.6061006 14641.15468 8.5984924 1982-1999 –> 2000-2012 3.327053 21325.3311
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6886702 15028.57588 8.5486172 1982-1999 –> 2000-2012 3.367080 21627.6467
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.6508758 14853.64903 8.5143052 1982-1999 –> 2000-2012 3.415349 21622.7369
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.7398500 15259.31491 10.4069772 1982-1999 –> 2000-2012 3.414356 21850.4671
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.7403070 15259.34461 10.4004200 1982-1999 –> 2000-2012 3.421055 21861.1487
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6586609 14890.00689 9.0156615 1982-1999 –> 2000-2012 3.201801 21203.3827
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.6012131 8336.23917 10.1969860 2000-2012 –> 2013-2019 3.251724 23188.1798
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5832896 8286.66417 9.1473557 2000-2012 –> 2013-2019 3.267585 23295.1914
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 1.6125704 8365.36613 11.2159046 2000-2012 –> 2013-2019 3.263346 23216.5448
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.5961980 8322.42394 10.1533748 2000-2012 –> 2013-2019 3.246690 23174.2751
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.5969718 8324.55821 10.1906284 2000-2012 –> 2013-2019 3.247452 23176.3535
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.5363563 8154.14270 9.7433999 2000-2012 –> 2013-2019 3.142457 22795.2974
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5861329 8294.56560 9.0977828 2000-2012 –> 2013-2019 3.283984 23365.0429
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5868838 8296.65027 9.0695503 2000-2012 –> 2013-2019 3.289211 23387.4747
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.5951181 8319.44331 10.1589803 2000-2012 –> 2013-2019 3.245994 23173.0923
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5869380 8296.80046 9.0624015 2000-2012 –> 2013-2019 3.290603 23393.6936
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.6215324 8365.14172 8.3019430 1982-1999 –> 2000-2012 3.184893 12360.7085
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.6301531 8386.41877 8.4075126 1982-1999 –> 2000-2012 3.194768 12381.6961
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5359575 8127.12615 7.2494345 1982-1999 –> 2000-2012 3.078983 12094.7531
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.5801895 8251.76168 8.0261139 1982-1999 –> 2000-2012 3.190652 12310.6727
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5426004 8146.07166 7.3145744 1982-1999 –> 2000-2012 3.096396 12128.5423
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5447871 8152.29014 7.3457551 1982-1999 –> 2000-2012 3.103066 12140.9089
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5441104 8150.36681 7.3600899 1982-1999 –> 2000-2012 3.091018 12123.3564
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5446596 8151.92784 7.3417904 1982-1999 –> 2000-2012 3.102034 12139.3069
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5461457 8154.14926 7.4026344 1982-1999 –> 2000-2012 3.127578 12172.2428
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5073086 8044.46994 6.4785885 1982-1999 –> 2000-2012 2.931331 11840.8225
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.4056724 4398.56017 8.1579665 2000-2012 –> 2013-2019 3.027205 12763.7019
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3010438 4205.80672 6.0878618 2000-2012 –> 2013-2019 2.837001 12332.9329
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.3134709 4229.49632 5.6581916 2000-2012 –> 2013-2019 2.893660 12481.2580
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3043983 4212.22348 6.0453500 2000-2012 –> 2013-2019 2.846999 12358.2951
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3053374 4214.01708 6.0318147 2000-2012 –> 2013-2019 2.850125 12366.3072
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1.3517071 4301.00471 4.9733747 2000-2012 –> 2013-2019 3.029412 12815.6479
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3044599 4212.34131 6.0190625 2000-2012 –> 2013-2019 2.848570 12362.7081
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3050972 4213.55846 6.0249300 2000-2012 –> 2013-2019 2.849757 12365.4863
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3208040 4241.37059 6.9545356 2000-2012 –> 2013-2019 2.866950 12395.5199
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.3038982 4211.26789 6.7565463 2000-2012 –> 2013-2019 2.811207 12255.7378
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate 1.4757156 85812.70202 7.3777078 1982-1999 –> 2000-2012 2.835048 127350.6250
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.4687161 85589.08634 7.3905396 1982-1999 –> 2000-2012 2.767347 126029.8858
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.3698819 82283.24645 7.0313975 1982-1999 –> 2000-2012 2.606288 121542.6446
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.3822100 82708.39340 7.1964958 1982-1999 –> 2000-2012 2.726197 123975.1651
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5425430 87916.40796 9.5219774 1982-1999 –> 2000-2012 2.856820 128645.3420
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5426882 87920.87526 9.5229429 1982-1999 –> 2000-2012 2.855968 128631.5437
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5426778 87920.55485 9.5231863 1982-1999 –> 2000-2012 2.856002 128632.0510
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.4709832 85662.27916 7.3939798 1982-1999 –> 2000-2012 2.774921 126201.1968
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4861751 86149.85882 7.4928876 1982-1999 –> 2000-2012 2.803095 126927.1285
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.4722633 85703.55672 7.3819180 1982-1999 –> 2000-2012 2.781338 126337.0664
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.2319416 48367.91638 8.9076415 2000-2012 –> 2013-2019 2.601824 130651.1628
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2967733 49891.67118 9.4901170 2000-2012 –> 2013-2019 2.839177 137803.8094
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate 1.3856496 51859.14633 7.8970381 2000-2012 –> 2013-2019 2.842759 137069.7291
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.2701175 49274.60533 8.3293218 2000-2012 –> 2013-2019 2.652328 131982.9987
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2971131 49899.45571 9.4905403 2000-2012 –> 2013-2019 2.839656 137815.8637
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2975674 49909.86077 9.4937692 2000-2012 –> 2013-2019 2.840256 137830.7360
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1.3745138 51621.41633 7.6649550 2000-2012 –> 2013-2019 2.818922 136418.5477
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3092860 50176.97187 9.7211962 2000-2012 –> 2013-2019 2.858337 138293.1808
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2975212 49908.80146 9.4926591 2000-2012 –> 2013-2019 2.840199 137829.3563
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3254741 50540.05605 10.3712645 2000-2012 –> 2013-2019 2.874631 138657.4926

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
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
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
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
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 temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 7 4 7 9 7 5 10
(26,26.5] 6 6 7 7 10 6 8
(26.5,26.75] 9 4 8 7 3 10 7
(26.75,27] 9 4 8 7 3 10 7
(27,27.25] 8 5 8 6 6 10 6
(27.25,27.5] 7 5 6 6 8 10 7
(27.5,27.75] 6 6 6 7 10 6 8
(27.75,27.85] 6 4 7 8 10 6 8
(27.85,27.95] 8 4 10 8 7 4 8
(27.95,28.05] 6 10 8 6 4 8 7
(28.05,28.1] 9 5 10 9 4 5 6
(28.1,28.15] 8 5 8 8 4 9 8
(28.15,28.2] 9 8 7 7 7 3 8
(28.2, Inf] 9 10 5 5 10 4 4
total 107.00 80.00 105.00 100.00 93.00 96.00 102.00
Atlantic - 2000-2012 --> 2013-2019
(26,26.5] 7 6 7 7 6 10 7
(26.5,26.75] 8 5 8 8 4 9 8
(26.75,27] 8 5 8 6 6 10 6
(27,27.25] 9 8 6 5 5 10 6
(27.25,27.5] 8 8 4 5 6 10 7
(27.5,27.75] 7 4 7 6 10 8 6
(27.75,27.85] 7 5 8 7 10 6 7
(27.85,27.95] 9 5 9 8 7 3 8
(27.95,28.05] 8 10 8 7 5 5 7
(28.05,28.1] 9 5 10 9 4 5 6
(28.1,28.15] 8 5 9 8 4 8 8
(28.15,28.2] 9 9 7 7 3 6 7
(28.2, Inf] 9 10 5 5 10 4 4
total 106.00 85.00 96.00 88.00 80.00 94.00 87.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 8 4 8 8 10 4 7
(26,26.5] 8 6 7 7 8 6 8
(26.5,26.75] 9 5 9 8 8 4 6
(26.75,27] 9 7 9 9 7 2 5
(27,27.25] 9 7 9 9 2 5 7
(27.25,27.5] 8 7 9 7 5 9 5
(27.5,27.75] 6 4 8 6 9 10 6
(27.75,27.85] 9 7 9 8 5 3 8
(27.85,27.95] 9 9 8 7 5 4 7
(27.95,28.05] 9 7 7 7 7 2 9
(28.05,28.1] 7 3 6 8 7 10 7
(28.1, Inf] 7 7 8 6 5 10 6
total 98.00 73.00 97.00 90.00 78.00 69.00 81.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 9 6 7 6 10 3 7
(26,26.5] 8 4 8 8 4 10 7
(26.5,26.75] 7 2 7 9 7 9 7
(26.75,27] 10 4 10 9 4 5 5
(27,27.25] 10 5 10 8 4 6 5
(27.25,27.5] 7 4 7 7 9 10 5
(27.5,27.75] 7 3 6 5 9 10 8
(27.75,27.85] 8 5 8 6 8 8 7
(27.85,27.95] 9 10 4 5 10 4 5
(27.95,28.05] 8 6 6 6 10 5 8
(28.05,28.1] 6 4 6 7 8 10 8
(28.1, Inf] 4 5 7 6 10 10 6
total 93.00 58.00 86.00 82.00 93.00 90.00 78.00

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
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
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