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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_star
# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove predictor combinations with nitrate and phosphate
lm_all <- lm_all %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
  filter(!(
    str_detect(lm_coeff_filter, "nitrate") &
      str_detect(lm_coeff_filter, "phosphate")
  )) %>%
  select(-lm_coeff_filter)

# remove helper objects
rm(i_gamma_slab,
   i_era,
   i_basin,
   GLODAP_basin_era,
   GLODAP_basin_era_slab,
   lm_full)

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 56

4 Fit all models

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

  • cstar_tref

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

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

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.5916304 646.9223 6.236707 1982-1999 –> 2000-2012 3.2587696 1525.5837
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou 1.2043383 549.2359 4.445163 1982-1999 –> 2000-2012 2.5928383 1341.9648
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 1.1914188 547.6120 4.887897 1982-1999 –> 2000-2012 2.5535458 1333.7497
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0589440 510.0068 4.281729 1982-1999 –> 2000-2012 2.3921140 1288.5180
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.1051493 524.3568 3.304136 1982-1999 –> 2000-2012 2.4643137 1311.5190
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.0721408 512.1682 4.734438 1982-1999 –> 2000-2012 2.4055121 1288.7470
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate 1.1639203 539.7661 4.829575 1982-1999 –> 2000-2012 2.5231488 1324.9495
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0708017 513.7483 4.671370 1982-1999 –> 2000-2012 2.4040952 1292.3010
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate 1.3240242 583.0704 5.870624 1982-1999 –> 2000-2012 2.7624787 1393.6339
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1738491 544.6202 5.347280 1982-1999 –> 2000-2012 2.5568164 1339.5603
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou 1.3308655 275.9438 3.290423 2000-2012 –> 2013-2019 2.5352037 825.1797
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 1.3308598 277.9431 3.298957 2000-2012 –> 2013-2019 2.5222786 825.5552
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1385676 255.5987 2.813203 2000-2012 –> 2013-2019 2.1975116 765.6055
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.1929038 262.8713 2.724893 2000-2012 –> 2013-2019 2.2980531 787.2281
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.2527613 268.5090 3.836054 2000-2012 –> 2013-2019 2.3249022 780.6773
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate 1.3246093 277.2087 3.484243 2000-2012 –> 2013-2019 2.4885296 816.9748
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1931661 262.9056 3.497480 2000-2012 –> 2013-2019 2.2639678 776.6539
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate 1.4547154 291.8248 4.033856 2000-2012 –> 2013-2019 2.7787395 874.8952
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2683736 272.4411 3.781825 2000-2012 –> 2013-2019 2.4422228 817.0613
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 1.4745112 293.9334 3.841532 2000-2012 –> 2013-2019 2.9911022 922.6290
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.4355823 6039.8999 15.582115 1982-1999 –> 2000-2012 6.8680661 14878.4970
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3858067 6008.7418 14.762595 1982-1999 –> 2000-2012 6.7501440 14782.6021
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.3438101 5980.3843 15.193660 1982-1999 –> 2000-2012 6.6831982 14729.4729
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate 3.9904467 6380.0563 17.799592 1982-1999 –> 2000-2012 7.9826027 15721.3388
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6081889 6153.2723 14.267590 1982-1999 –> 2000-2012 7.1588106 15106.4841
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate 3.9941888 6382.1860 18.954002 1982-1999 –> 2000-2012 8.0810957 15801.5333
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6380879 6172.0215 14.774574 1982-1999 –> 2000-2012 7.2575738 15189.1618
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate 3.9996578 6383.2947 18.489476 1982-1999 –> 2000-2012 8.1163779 15824.8311
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6702662 6190.0286 16.261179 1982-1999 –> 2000-2012 7.5108093 15402.4587
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.0954697 6441.0789 15.579158 1982-1999 –> 2000-2012 8.2024934 15878.7673
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.3529894 3261.1855 10.303799 2000-2012 –> 2013-2019 6.7885717 9301.0854
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3151019 3249.1396 9.885919 2000-2012 –> 2013-2019 6.7009086 9257.8815
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.2019551 3206.2174 9.370614 2000-2012 –> 2013-2019 6.5457652 9186.6017
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate 3.9679578 3469.3270 11.496873 2000-2012 –> 2013-2019 7.9584045 9849.3833
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6588360 3371.0793 10.317504 2000-2012 –> 2013-2019 7.2670249 9524.3516
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate 3.8524592 3432.8157 11.307173 2000-2012 –> 2013-2019 7.8466479 9815.0016
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6337676 3362.5818 10.363673 2000-2012 –> 2013-2019 7.2718555 9534.6032
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate 4.0173849 3482.6281 12.004710 2000-2012 –> 2013-2019 8.0170426 9865.9229
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6645903 3371.0217 10.287116 2000-2012 –> 2013-2019 7.3348565 9561.0503
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.9284903 3458.9715 14.150185 2000-2012 –> 2013-2019 8.0239600 9900.0504
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4935319 8343.9375 9.554329 1982-1999 –> 2000-2012 6.8941893 19516.2921
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.5245409 8369.5088 9.820903 1982-1999 –> 2000-2012 6.9320545 19548.3669
Atlantic (26.5,26.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.7599643 8571.2458 16.055745 1982-1999 –> 2000-2012 7.4558950 20093.1394
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.6383187 8470.6359 25.007220 1982-1999 –> 2000-2012 7.1163833 19738.0159
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3103382 8175.8853 10.510653 1982-1999 –> 2000-2012 6.4825326 19054.6202
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.5723347 8413.5326 14.769892 1982-1999 –> 2000-2012 7.0784660 19714.8460
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.6758919 8500.6912 27.143927 1982-1999 –> 2000-2012 7.2077869 19830.9151
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3258686 8190.4885 11.145018 1982-1999 –> 2000-2012 6.5316513 19113.6924
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.4492526 8302.1399 10.919545 1982-1999 –> 2000-2012 6.7116214 19297.2172
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.7350091 8550.4690 12.839795 1982-1999 –> 2000-2012 7.3636558 19994.7934
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.5858549 3977.0251 10.772251 2000-2012 –> 2013-2019 7.0793868 12320.9626
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.5949819 3978.7619 10.490753 2000-2012 –> 2013-2019 7.1195228 12348.2707
Atlantic (26.5,26.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.6741700 4010.7907 11.036855 2000-2012 –> 2013-2019 7.4341344 12582.0365
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.6354401 3997.2130 10.381965 2000-2012 –> 2013-2019 7.2737588 12467.8489
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.4412673 3916.5242 10.744217 2000-2012 –> 2013-2019 6.7516055 12092.4095
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.5499307 3962.2239 11.624344 2000-2012 –> 2013-2019 7.1222654 12375.7565
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.6394258 3996.8237 10.582046 2000-2012 –> 2013-2019 7.3153177 12497.5149
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4610820 3924.9641 9.525482 2000-2012 –> 2013-2019 6.7869506 12115.4526
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.6090104 3984.4871 11.292419 2000-2012 –> 2013-2019 7.0582630 12286.6269
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.7721649 4049.4838 12.260256 2000-2012 –> 2013-2019 7.5071739 12599.9528
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate_star 3.7347203 14625.5052 28.460129 1982-1999 –> 2000-2012 6.9198923 32684.7740
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.5015490 12487.4319 33.775208 1982-1999 –> 2000-2012 4.8367908 28375.3437
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 2.5059943 12494.9128 34.180839 1982-1999 –> 2000-2012 4.8412387 28380.8326
Atlantic (26.75,27] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.7159919 12924.6314 37.121102 1982-1999 –> 2000-2012 5.2900323 29492.2676
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.6953595 14570.9275 22.462355 1982-1999 –> 2000-2012 6.7423252 32321.5870
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.1841990 11763.0024 21.487345 1982-1999 –> 2000-2012 3.9837892 25826.4977
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.5229300 12532.8795 27.083041 1982-1999 –> 2000-2012 4.7945751 28227.4582
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.2438218 11906.8159 15.192665 1982-1999 –> 2000-2012 4.0620723 26042.5430
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.3267471 12098.6080 16.537660 1982-1999 –> 2000-2012 4.1938950 26418.1489
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.7852538 13059.1020 20.682052 1982-1999 –> 2000-2012 5.2436385 29304.8402
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate_star 4.2006852 8072.2218 23.344251 2000-2012 –> 2013-2019 7.9354055 22697.7270
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7038886 6830.0897 21.165838 2000-2012 –> 2013-2019 5.2054376 19317.5216
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 2.7243659 6849.3960 23.389466 2000-2012 –> 2013-2019 5.2303601 19344.3088
Atlantic (26.75,27] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.9099779 7035.5252 27.362241 2000-2012 –> 2013-2019 5.6259698 19960.1567
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.1931422 8069.1463 24.255984 2000-2012 –> 2013-2019 7.8885018 22640.0738
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6068856 6726.9156 25.377739 2000-2012 –> 2013-2019 4.7910846 18489.9181
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.8509139 6979.6167 28.834681 2000-2012 –> 2013-2019 5.3738439 19512.4962
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.6675005 6791.8272 22.032035 2000-2012 –> 2013-2019 4.9113223 18698.6431
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.8080839 6934.8691 27.945041 2000-2012 –> 2013-2019 5.1348310 19033.4771
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.1656429 7273.3363 31.750586 2000-2012 –> 2013-2019 5.9508967 20332.4383
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2099022 10255.0358 10.956753 1982-1999 –> 2000-2012 4.5729303 24224.9117
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.2579994 10352.7242 10.229612 1982-1999 –> 2000-2012 4.6474158 24388.6087
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.3260996 10490.2984 11.108468 1982-1999 –> 2000-2012 4.8117446 24767.9771
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.7675932 11296.9238 15.178784 1982-1999 –> 2000-2012 5.0411312 25030.3725
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.2100456 10255.3364 18.140966 1982-1999 –> 2000-2012 4.6462747 24412.0401
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9684366 9719.3048 9.339418 1982-1999 –> 2000-2012 3.6251231 21514.3993
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0875930 9991.4197 9.273630 1982-1999 –> 2000-2012 3.9667985 22558.3192
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 2.2107803 10254.8753 18.059224 1982-1999 –> 2000-2012 4.7255758 24603.9555
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0626276 9935.7160 14.340241 1982-1999 –> 2000-2012 3.8028987 22032.2421
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 2.6439654 11083.3411 12.295336 1982-1999 –> 2000-2012 4.8317266 24579.2701
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 2.6753770 6197.3962 26.440282 2000-2012 –> 2013-2019 5.3697261 17368.1369
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.3167718 5828.9576 11.607001 2000-2012 –> 2013-2019 4.5266740 16083.9934
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.4058006 5924.0180 14.914910 2000-2012 –> 2013-2019 4.6638001 16276.7422
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.4642713 5985.8285 15.716961 2000-2012 –> 2013-2019 4.7903709 16476.1269
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.4957442 6020.4946 25.558211 2000-2012 –> 2013-2019 4.7057899 16275.8310
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3540156 5870.0075 13.884121 2000-2012 –> 2013-2019 4.3224522 15589.3122
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4270934 5948.6992 14.883828 2000-2012 –> 2013-2019 4.5146864 15940.1189
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate_star 2.7208616 6240.7895 13.230134 2000-2012 –> 2013-2019 5.4881065 17535.1307
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 2.5779754 6101.9370 24.809555 2000-2012 –> 2013-2019 4.7887557 16356.8123
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5559660 6081.8672 20.913985 2000-2012 –> 2013-2019 4.6185935 16017.5832
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 2.8444219 12318.7062 20.183111 1982-1999 –> 2000-2012 5.7087267 30064.4981
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2.5924312 11855.4440 13.069770 1982-1999 –> 2000-2012 5.3326841 29283.5153
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.5177324 11711.4321 13.933174 1982-1999 –> 2000-2012 5.1453479 28840.3020
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.0728018 12706.3924 13.387049 1982-1999 –> 2000-2012 5.5397331 29382.4439
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.2210980 11085.3993 14.016845 1982-1999 –> 2000-2012 4.0373466 25564.1467
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8696680 12364.8356 22.709098 1982-1999 –> 2000-2012 5.4021054 29228.9501
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.8849141 12391.2978 22.454726 1982-1999 –> 2000-2012 5.5000493 29486.0028
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 2.8875250 12393.8153 22.136811 1982-1999 –> 2000-2012 5.6809689 29959.8451
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.4583415 11590.2168 14.105424 1982-1999 –> 2000-2012 4.3015537 26172.7141
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.3175625 11297.7160 17.497059 1982-1999 –> 2000-2012 4.1483759 25833.7791
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.1237522 6985.0356 21.378502 2000-2012 –> 2013-2019 5.9681741 19303.7417
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 3.0862675 6952.1260 15.715825 2000-2012 –> 2013-2019 5.6786987 18807.5700
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.8793827 6764.9784 17.147392 2000-2012 –> 2013-2019 5.3971151 18476.4106
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.7110206 7456.6491 16.288274 2000-2012 –> 2013-2019 6.7838224 20163.0416
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8794846 6765.0749 14.381413 2000-2012 –> 2013-2019 5.1005825 17850.4742
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7931930 7516.3518 25.907681 2000-2012 –> 2013-2019 6.6628610 19881.1874
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.7367783 7475.5046 24.666793 2000-2012 –> 2013-2019 6.6216924 19866.8023
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.8267602 7538.3690 26.794841 2000-2012 –> 2013-2019 6.7142852 19932.1843
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 3.1786481 7032.5254 12.434604 2000-2012 –> 2013-2019 5.6369895 18622.7422
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.8693849 6755.4967 17.402553 2000-2012 –> 2013-2019 5.1869474 18053.2127
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.0160871 18986.1995 15.010146 1982-1999 –> 2000-2012 5.8640503 44055.0435
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.8133808 18463.0073 25.621580 1982-1999 –> 2000-2012 5.1271232 41420.8200
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8224707 18487.2649 13.827754 1982-1999 –> 2000-2012 5.1809520 41639.6960
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 2.8932810 18671.5992 19.992092 1982-1999 –> 2000-2012 5.2171354 41671.7274
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5947071 17854.5397 22.096079 1982-1999 –> 2000-2012 4.7604163 40140.4569
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 2.9290451 18763.9848 19.050781 1982-1999 –> 2000-2012 5.2570526 41782.2579
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.5969033 17860.9019 21.769808 1982-1999 –> 2000-2012 4.7636531 40151.7007
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.6488317 18007.7901 24.114223 1982-1999 –> 2000-2012 4.8209797 40321.8752
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 3.2816362 19618.7506 16.377780 1982-1999 –> 2000-2012 5.7538359 43247.7147
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.2399539 19524.6221 16.256268 1982-1999 –> 2000-2012 5.7109737 43150.7351
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 3.3616336 10547.9878 16.630404 2000-2012 –> 2013-2019 6.3783917 29533.8600
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.2910242 10464.9900 14.396241 2000-2012 –> 2013-2019 6.3071113 29451.1895
Atlantic (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.3467726 10530.2478 15.254499 2000-2012 –> 2013-2019 6.7176093 30350.6762
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.1178660 10248.5737 21.014934 2000-2012 –> 2013-2019 5.9312469 28711.5810
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.3187334 10498.5610 16.109561 2000-2012 –> 2013-2019 6.1412041 28985.8259
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 3.3933170 10585.5487 13.888126 2000-2012 –> 2013-2019 6.2865980 29257.1479
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9648162 10047.0373 15.888668 2000-2012 –> 2013-2019 5.5595233 27901.5769
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 3.4807840 10687.4491 13.094023 2000-2012 –> 2013-2019 6.4098291 29451.4339
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.9855177 10074.8976 15.644630 2000-2012 –> 2013-2019 5.5824210 27935.7995
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.1365845 10270.5403 18.803814 2000-2012 –> 2013-2019 5.7854162 28278.3305
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 1.9328237 5410.4375 13.304351 1982-1999 –> 2000-2012 3.8998084 12446.3534
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.8725972 5330.1961 14.192567 1982-1999 –> 2000-2012 3.7572737 12224.8290
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.7701030 5183.9584 15.104695 1982-1999 –> 2000-2012 3.3654426 11519.9147
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.7589195 5167.4921 14.092507 1982-1999 –> 2000-2012 3.4890179 11775.2677
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate_star 2.2231633 5774.0252 12.468928 1982-1999 –> 2000-2012 4.0002799 12469.6811
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6610165 5018.7049 13.140037 1982-1999 –> 2000-2012 3.2673240 11377.6273
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate_star 2.2223063 5773.0236 12.445344 1982-1999 –> 2000-2012 3.9881562 12447.3603
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6571869 5012.7080 13.065690 1982-1999 –> 2000-2012 3.2589745 11362.1850
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + phosphate_star 2.2234691 5772.3827 12.462708 1982-1999 –> 2000-2012 4.0240370 12509.9828
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7839394 5202.1873 13.100644 1982-1999 –> 2000-2012 3.4925351 11766.0412
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 2.0476770 2813.9656 12.694233 2000-2012 –> 2013-2019 3.9805007 8224.4031
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.0306548 2805.0134 13.091382 2000-2012 –> 2013-2019 3.9032519 8135.2095
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 2.3331126 2985.1780 11.520053 2000-2012 –> 2013-2019 4.6654897 8883.7953
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.3378964 2987.8654 11.548426 2000-2012 –> 2013-2019 4.6871892 8905.2568
Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate_star 2.3379998 2985.9234 11.557145 2000-2012 –> 2013-2019 4.6939508 8908.6674
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.8708815 2697.4969 15.992073 2000-2012 –> 2013-2019 3.6409845 7881.4553
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.9432112 2747.2639 13.161242 2000-2012 –> 2013-2019 3.7021307 7914.7560
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8117847 2655.3852 12.335194 2000-2012 –> 2013-2019 3.4728013 7674.0901
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8065490 2651.5883 12.287919 2000-2012 –> 2013-2019 3.4637358 7664.2963
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8598127 2687.7116 12.393512 2000-2012 –> 2013-2019 3.6437522 7889.8989
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.6716112 6747.6531 45.858691 1982-1999 –> 2000-2012 6.7088414 15413.8582
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.6208361 6713.1733 46.326798 1982-1999 –> 2000-2012 6.8137290 15550.3147
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 3.7093246 6770.9560 54.305858 1982-1999 –> 2000-2012 6.8180537 15514.7376
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7086360 6772.4963 53.599513 1982-1999 –> 2000-2012 6.7919868 15490.2439
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate_star 3.6930174 6760.0467 51.548127 1982-1999 –> 2000-2012 6.8009830 15502.9884
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6929286 6761.9872 51.770459 1982-1999 –> 2000-2012 6.7739173 15477.1139
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.6724527 6746.2205 47.240984 1982-1999 –> 2000-2012 6.8599692 15575.5983
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.6000967 6698.9505 39.456055 1982-1999 –> 2000-2012 6.7816471 15523.9210
Atlantic (27.85,27.95] cstar_tref ~ temp + nitrate + phosphate_star 3.6935815 6758.4249 52.651033 1982-1999 –> 2000-2012 6.8886539 15593.9001
Atlantic (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.6934228 6760.3185 52.865066 1982-1999 –> 2000-2012 6.8872126 15596.4205
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.6632452 3861.6797 25.727589 2000-2012 –> 2013-2019 7.2852609 10575.6596
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.2717396 3701.6327 24.633954 2000-2012 –> 2013-2019 6.9433508 10449.2858
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.5054092 3799.3160 25.395176 2000-2012 –> 2013-2019 7.1262453 10512.4893
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 3.5585069 3818.6039 25.635405 2000-2012 –> 2013-2019 7.2678316 10589.5599
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3837771 3749.3105 25.357617 2000-2012 –> 2013-2019 7.0924131 10521.8067
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate_star 3.5681621 3822.4407 26.866261 2000-2012 –> 2013-2019 7.2611795 10582.4874
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.3786842 3747.1776 25.710784 2000-2012 –> 2013-2019 7.0716128 10509.1648
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + phosphate_star 3.5700168 3821.1765 27.665985 2000-2012 –> 2013-2019 7.3870691 10661.0170
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 3.3930561 3751.1881 23.807090 2000-2012 –> 2013-2019 7.2051930 10589.8381
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.7555915 3896.9330 23.767666 2000-2012 –> 2013-2019 7.3556883 10595.8836
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.5218348 10045.4907 24.004911 1982-1999 –> 2000-2012 7.0630981 24040.1196
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 3.8919974 10417.8674 25.981905 1982-1999 –> 2000-2012 8.0298954 25221.7162
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.8714512 10400.0396 25.669358 1982-1999 –> 2000-2012 7.9933467 25185.7007
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.0457075 10562.9648 26.287164 1982-1999 –> 2000-2012 8.3429060 25563.6234
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.9616144 10486.2807 25.618789 1982-1999 –> 2000-2012 8.1821218 25395.1179
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.6324901 10159.3780 24.215864 1982-1999 –> 2000-2012 7.3632160 24423.5486
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3840311 9895.9711 24.001342 1982-1999 –> 2000-2012 6.6687908 23498.8599
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate_star 3.9274126 10449.7999 25.963125 1982-1999 –> 2000-2012 8.1435742 25349.2697
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 3.9190207 10443.7872 25.766302 1982-1999 –> 2000-2012 8.1312219 25340.3607
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.0053913 10525.4480 25.714774 1982-1999 –> 2000-2012 8.3098120 25534.8555
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.2788996 5143.4865 24.102906 2000-2012 –> 2013-2019 6.8007344 15188.9772
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 3.8086257 5436.2153 24.729450 2000-2012 –> 2013-2019 7.7006231 15854.0827
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7782083 5422.4349 24.786112 2000-2012 –> 2013-2019 7.6496595 15822.4744
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.0086790 5536.9638 24.749523 2000-2012 –> 2013-2019 8.0543865 16099.9286
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.8978424 5483.7838 24.848984 2000-2012 –> 2013-2019 7.8594568 15970.0645
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.5146493 5278.1284 23.980176 2000-2012 –> 2013-2019 7.1471394 15437.5065
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.2118152 5102.8048 25.221935 2000-2012 –> 2013-2019 6.5958463 14998.7759
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate_star 3.9003152 5481.0319 24.581116 2000-2012 –> 2013-2019 7.8277278 15930.8319
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 3.8907027 5478.1757 24.601396 2000-2012 –> 2013-2019 7.8097234 15921.9629
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.0000660 5532.7308 24.974102 2000-2012 –> 2013-2019 8.0054574 16058.1788
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.2729919 4168.0918 6.966359 1982-1999 –> 2000-2012 2.4151669 9269.1312
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1406889 3893.5285 6.982709 1982-1999 –> 2000-2012 2.1810442 8688.4940
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.2043636 4029.4343 7.444928 1982-1999 –> 2000-2012 2.2941696 8976.6218
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 1.1629032 3939.7851 7.727641 1982-1999 –> 2000-2012 2.2078272 8747.1147
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1559549 3926.7909 7.275281 1982-1999 –> 2000-2012 2.2007441 8735.6975
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.2202055 4060.1304 8.465170 1982-1999 –> 2000-2012 2.2981844 8969.5490
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1765015 3970.8722 7.269305 1982-1999 –> 2000-2012 2.2369827 8828.6461
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.2719449 4164.0332 11.734142 1982-1999 –> 2000-2012 2.4180880 9274.4409
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.2691810 4160.5904 11.920625 1982-1999 –> 2000-2012 2.4124654 9264.8122
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 1.2701247 4160.4501 11.802679 1982-1999 –> 2000-2012 2.4134329 9262.7400
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.3654011 2412.3160 7.237904 2000-2012 –> 2013-2019 2.6383930 6580.4079
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.2105055 2245.4275 6.979690 2000-2012 –> 2013-2019 2.3511944 6138.9560
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.2881510 2331.5948 7.630773 2000-2012 –> 2013-2019 2.4925145 6361.0292
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 1.2646618 2304.0882 8.233229 2000-2012 –> 2013-2019 2.4275650 6243.8732
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2386232 2277.2534 7.367325 2000-2012 –> 2013-2019 2.3945781 6204.0443
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.3501543 2394.7522 9.099186 2000-2012 –> 2013-2019 2.5703598 6454.8826
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2625424 2303.7635 7.403175 2000-2012 –> 2013-2019 2.4390438 6274.6357
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.3900898 2435.1534 12.676414 2000-2012 –> 2013-2019 2.6620348 6599.1866
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.3884044 2435.4719 12.785178 2000-2012 –> 2013-2019 2.6575854 6596.0623
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 1.3901930 2435.2562 12.654763 2000-2012 –> 2013-2019 2.6603177 6595.7063
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.8911044 3658.9909 5.918897 1982-1999 –> 2000-2012 1.6554314 8013.7665
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate 0.8942682 3666.9003 6.143180 1982-1999 –> 2000-2012 1.6402112 7927.7920
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8057853 3377.5898 5.336769 1982-1999 –> 2000-2012 1.4985105 7361.1456
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.8395288 3492.2913 5.824235 1982-1999 –> 2000-2012 1.5581767 7614.4971
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 0.8097628 3389.3574 5.294503 1982-1999 –> 2000-2012 1.5288629 7511.9370
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8011440 3361.4382 5.239412 1982-1999 –> 2000-2012 1.4841616 7291.7327
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 0.8168537 3413.7344 5.415135 1982-1999 –> 2000-2012 1.5096886 7395.8884
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.8127139 3401.5284 5.436958 1982-1999 –> 2000-2012 1.5031113 7372.3809
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.9835167 3934.8807 10.770264 1982-1999 –> 2000-2012 1.7506778 8303.6240
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 0.9884532 3946.8794 11.049103 1982-1999 –> 2000-2012 1.7564256 8317.6119
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.9842579 2011.9735 8.051990 2000-2012 –> 2013-2019 1.8753623 5670.9643
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate 1.0014374 2034.6139 8.283117 2000-2012 –> 2013-2019 1.8957056 5701.5141
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8910485 1870.3010 6.797078 2000-2012 –> 2013-2019 1.6968339 5247.8908
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.9300484 1931.3019 7.718437 2000-2012 –> 2013-2019 1.7695772 5423.5932
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 0.8918397 1869.5648 6.850193 2000-2012 –> 2013-2019 1.7016025 5258.9221
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8918126 1871.5215 6.848206 2000-2012 –> 2013-2019 1.6929566 5232.9597
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 0.9317137 1931.8494 7.194852 2000-2012 –> 2013-2019 1.7485674 5345.5839
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.9073146 1896.0617 7.191330 2000-2012 –> 2013-2019 1.7200285 5297.5901
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.0472217 2100.2728 12.708853 2000-2012 –> 2013-2019 2.0307384 6035.1535
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 1.0510198 2103.4280 13.009808 2000-2012 –> 2013-2019 2.0394730 6050.3074
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.7770053 4708.8542 16.122287 1982-1999 –> 2000-2012 1.3657554 9801.6574
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.6770043 4154.1936 6.501489 1982-1999 –> 2000-2012 1.2437371 9029.2149
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.6531656 4011.8744 7.988766 1982-1999 –> 2000-2012 1.1941366 8623.0669
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.6659083 4087.6614 7.918388 1982-1999 –> 2000-2012 1.2147171 8779.0476
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6608030 4058.6769 7.164936 1982-1999 –> 2000-2012 1.2088659 8744.2901
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6658899 4089.5505 7.861172 1982-1999 –> 2000-2012 1.2128558 8763.7158
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7318765 4469.9570 8.923396 1982-1999 –> 2000-2012 1.3696404 10021.6876
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.7289031 4451.5668 11.454276 1982-1999 –> 2000-2012 1.3019921 9390.3168
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.7176256 4388.7903 12.118912 1982-1999 –> 2000-2012 1.2777278 9196.5647
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7173564 4389.2800 12.253531 1982-1999 –> 2000-2012 1.2757504 9181.6009
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.7438009 2433.0944 5.353850 2000-2012 –> 2013-2019 1.4208051 6587.2880
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 0.8313687 2673.0573 6.109030 2000-2012 –> 2013-2019 1.5901181 7286.1909
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.7354711 2410.8135 6.061562 2000-2012 –> 2013-2019 1.3886368 6422.6879
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.7635202 2489.5089 6.905498 2000-2012 –> 2013-2019 1.4294285 6577.1703
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7400734 2424.2628 5.601071 2000-2012 –> 2013-2019 1.4008765 6482.9398
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.7554349 2468.5561 5.925970 2000-2012 –> 2013-2019 1.4213248 6558.1065
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.8121334 2624.5880 6.619729 2000-2012 –> 2013-2019 1.5440099 7094.5450
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.8821824 2800.9631 10.600095 2000-2012 –> 2013-2019 1.6110855 7252.5299
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.8758629 2785.4631 11.227380 2000-2012 –> 2013-2019 1.5934885 7174.2534
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.8756887 2787.0340 11.132298 2000-2012 –> 2013-2019 1.5930451 7176.3139
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.5786277 7379.0689 6.882067 1982-1999 –> 2000-2012 1.1067223 16653.5526
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.3566263 3287.5171 1.988203 1982-1999 –> 2000-2012 0.6691525 6334.2006
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.3501288 3134.1416 1.949898 1982-1999 –> 2000-2012 0.6565772 5949.7518
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.3534411 3213.7066 1.988553 1982-1999 –> 2000-2012 0.6596790 6021.1606
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.3490030 3108.9287 2.067840 1982-1999 –> 2000-2012 0.6550932 5912.6573
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.3560111 3274.9265 2.045845 1982-1999 –> 2000-2012 0.6669547 6263.3605
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3395940 2877.9930 2.205103 1982-1999 –> 2000-2012 0.6447888 5646.9529
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.3509290 3155.4335 2.134668 1982-1999 –> 2000-2012 0.6570626 5960.8427
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.5229331 6525.8802 2.014189 1982-1999 –> 2000-2012 0.9707675 13845.9018
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5696464 7248.8817 8.521425 1982-1999 –> 2000-2012 1.0936375 16432.7869
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.4264163 2726.2777 2.452673 2000-2012 –> 2013-2019 0.7830427 6013.7947
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.4135856 2581.8126 2.572196 2000-2012 –> 2013-2019 0.7637143 5715.9542
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.4165997 2616.6231 2.435991 2000-2012 –> 2013-2019 0.7700408 5830.3298
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.4134611 2582.3694 2.655486 2000-2012 –> 2013-2019 0.7624641 5691.2982
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 0.5986382 4354.6000 4.314619 2000-2012 –> 2013-2019 1.1608508 11490.4847
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.4234133 2694.3964 2.563266 2000-2012 –> 2013-2019 0.7794244 5969.3229
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3788945 2163.8268 2.767863 2000-2012 –> 2013-2019 0.7184885 5041.8198
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.4031930 2461.8100 2.685125 2000-2012 –> 2013-2019 0.7541221 5617.2435
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.5828792 4228.7081 2.387587 2000-2012 –> 2013-2019 1.1058122 10754.5883
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7432499 5393.9015 11.501170 2000-2012 –> 2013-2019 1.3128963 12642.7832
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 7.4439384 38510.3404 59.558635 1982-1999 –> 2000-2012 15.1437988 91704.7035
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6.1136918 36300.3175 34.053133 1982-1999 –> 2000-2012 12.5238257 86679.0210
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 7.2111316 38155.3258 53.102312 1982-1999 –> 2000-2012 14.6039978 90726.3344
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 6.4996394 36986.1393 30.371328 1982-1999 –> 2000-2012 13.2827179 88232.0298
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.4461499 36895.2887 29.845366 1982-1999 –> 2000-2012 13.1621308 87990.3838
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 6.4566916 36911.6486 32.494484 1982-1999 –> 2000-2012 13.3359797 88374.0121
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6.4521690 36905.7755 32.726328 1982-1999 –> 2000-2012 13.3217883 88348.5214
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + phosphate_star 6.5020932 36988.3804 30.694955 1982-1999 –> 2000-2012 13.3815421 88449.1031
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 6.4908437 36970.9237 31.083318 1982-1999 –> 2000-2012 13.3640974 88419.7990
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7.2236456 38174.8076 31.349003 1982-1999 –> 2000-2012 14.7830617 91088.2359
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.8220861 18881.3024 29.808032 2000-2012 –> 2013-2019 11.9357779 55181.6200
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 7.0553702 20021.0201 43.011672 2000-2012 –> 2013-2019 14.2665018 58176.3459
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 6.1981371 19250.5871 25.753337 2000-2012 –> 2013-2019 12.6977765 56236.7264
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.1110238 19168.6229 24.877741 2000-2012 –> 2013-2019 12.5571737 56063.9116
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.9978940 19055.7781 27.345614 2000-2012 –> 2013-2019 12.4545857 55967.4267
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.9955754 19055.4845 27.200018 2000-2012 –> 2013-2019 12.4477444 55961.2600
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + phosphate_star 6.2839535 19330.1554 24.325749 2000-2012 –> 2013-2019 12.7860467 56318.5358
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 6.1129613 19168.5034 25.112435 2000-2012 –> 2013-2019 12.6038050 56139.4271
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6.9778397 19955.4733 25.727371 2000-2012 –> 2013-2019 14.2014853 58130.2810
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate_star 7.1829535 20125.3309 24.222682 2000-2012 –> 2013-2019 14.6233656 58630.3475
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.8747891 35894.0278 52.864020 1982-1999 –> 2000-2012 9.3529781 84600.3995
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate_star 5.1403010 36525.6875 40.738339 1982-1999 –> 2000-2012 9.9855379 86544.5393
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6965239 35448.9144 39.546419 1982-1999 –> 2000-2012 9.0854971 83819.5071
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.0574576 36331.5595 44.678439 1982-1999 –> 2000-2012 10.1805234 87280.7713
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.9348402 36040.3125 37.710730 1982-1999 –> 2000-2012 10.0275321 86892.3010
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + phosphate_star 5.1406159 36524.4193 40.866191 1982-1999 –> 2000-2012 10.2857026 87543.2004
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.9352282 36039.2517 37.912905 1982-1999 –> 2000-2012 10.0798477 87058.5174
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 5.3202775 36936.8638 52.741465 1982-1999 –> 2000-2012 10.2721051 87318.8129
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.8068077 35726.2342 48.677503 1982-1999 –> 2000-2012 9.2716544 84382.8177
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.9950409 36183.1857 49.382037 1982-1999 –> 2000-2012 9.6928243 85686.3507
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.8891471 19029.6802 50.582408 2000-2012 –> 2013-2019 9.7639362 54923.7079
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate_star 5.2238663 19446.5875 38.433198 2000-2012 –> 2013-2019 10.3641674 55972.2750
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.7355004 18827.6881 36.855147 2000-2012 –> 2013-2019 9.4320243 54276.6026
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.9835684 19148.6859 43.364005 2000-2012 –> 2013-2019 10.0410260 55480.2455
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.7937328 18905.0044 37.001566 2000-2012 –> 2013-2019 9.7285730 54945.3169
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.8209449 18938.8131 35.204419 2000-2012 –> 2013-2019 9.7561731 54978.0648
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.6921156 18769.4646 45.154919 2000-2012 –> 2013-2019 9.4989234 54495.6988
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.9497060 19105.5552 34.611329 2000-2012 –> 2013-2019 9.9447469 55288.7409
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 5.1100800 19307.2716 32.285755 2000-2012 –> 2013-2019 10.4479098 56283.4886
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate_star 5.1135724 19309.5935 31.704587 2000-2012 –> 2013-2019 10.4661078 56316.6819
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.3142836 28724.7487 25.568471 1982-1999 –> 2000-2012 8.3693163 67825.5785
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.3283079 28757.0921 23.063837 1982-1999 –> 2000-2012 8.3732971 67823.5361
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.3558684 28818.3495 29.623845 1982-1999 –> 2000-2012 8.4247316 67964.3918
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.2059512 28471.3051 25.457852 1982-1999 –> 2000-2012 8.2380439 67493.4699
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 4.3733096 28858.1744 24.620781 1982-1999 –> 2000-2012 8.4382350 67990.7907
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.4610680 29056.1803 31.666714 1982-1999 –> 2000-2012 8.7354817 68885.5844
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.3495707 28805.9303 29.988880 1982-1999 –> 2000-2012 8.5363621 68350.1381
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 4.4809670 29100.5356 30.232864 1982-1999 –> 2000-2012 8.7429760 68889.6412
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate_star 4.5023515 29145.9833 33.667012 1982-1999 –> 2000-2012 8.7921077 69023.0685
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.3514595 28808.2570 30.277835 1982-1999 –> 2000-2012 8.6003177 68554.5116
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.6104347 15923.3131 30.090850 2000-2012 –> 2013-2019 8.9247183 44648.0618
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6634756 15985.0601 27.009578 2000-2012 –> 2013-2019 8.9917834 44742.1522
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.7394847 16070.3318 38.779535 2000-2012 –> 2013-2019 9.0953531 44888.6813
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.5305607 15828.9753 33.448696 2000-2012 –> 2013-2019 8.7365118 44300.2804
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 4.8325633 16175.3154 30.682274 2000-2012 –> 2013-2019 9.2058729 45033.4898
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.7548764 16087.8337 36.535410 2000-2012 –> 2013-2019 9.2159445 45144.0140
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.6288162 15944.7918 34.660703 2000-2012 –> 2013-2019 8.9783869 44750.7221
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 4.8064130 16146.0261 34.753699 2000-2012 –> 2013-2019 9.2873800 45246.5617
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate_star 4.8767412 16222.4382 40.323775 2000-2012 –> 2013-2019 9.3790927 45368.4214
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.6594536 15978.4026 35.975237 2000-2012 –> 2013-2019 9.0109131 44786.6597
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.8057070 36685.8730 23.033151 1982-1999 –> 2000-2012 9.0009170 85740.9133
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate_star 4.8778936 36866.8104 21.608442 1982-1999 –> 2000-2012 9.1239182 86126.8140
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.8504875 36799.6777 20.334564 1982-1999 –> 2000-2012 9.0751464 85974.9646
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.7537222 38892.9982 34.979030 1982-1999 –> 2000-2012 10.2193717 89019.9201
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.6079327 38580.0908 34.029827 1982-1999 –> 2000-2012 10.0492617 88615.1373
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 6.0315739 39471.6639 35.188322 1982-1999 –> 2000-2012 10.7026990 90371.8827
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 5.0029956 37177.5280 22.523309 1982-1999 –> 2000-2012 9.4960231 87409.5164
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.9155358 36963.1331 21.647201 1982-1999 –> 2000-2012 9.3404010 86934.3389
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate_star 5.0884902 37383.4347 24.231435 1982-1999 –> 2000-2012 9.6499883 87873.4107
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 5.0557942 37306.3396 24.066330 1982-1999 –> 2000-2012 9.5909444 87698.7356
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6.2669000 21348.6686 22.169932 2000-2012 –> 2013-2019 12.1255363 60465.3843
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.1729842 20091.0175 24.828846 2000-2012 –> 2013-2019 9.9786913 56776.8906
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate_star 5.2565739 20194.1083 22.513870 2000-2012 –> 2013-2019 10.1344675 57060.9187
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.2386937 20173.7702 21.318841 2000-2012 –> 2013-2019 10.0891812 56973.4479
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 6.6151533 21701.2246 44.114099 2000-2012 –> 2013-2019 12.3688754 60594.2229
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6.3223321 21406.4029 41.611367 2000-2012 –> 2013-2019 11.9302648 59986.4937
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 5.3586249 20320.1667 22.503297 2000-2012 –> 2013-2019 10.3616205 57497.6948
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5.2878236 20234.9676 20.808426 2000-2012 –> 2013-2019 10.2033594 57198.1007
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate_star 5.4601709 20441.2405 19.757354 2000-2012 –> 2013-2019 10.5486611 57824.6752
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 5.4387170 20417.4302 18.455105 2000-2012 –> 2013-2019 10.4945112 57723.7698
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5.0003663 47100.3361 23.086462 1982-1999 –> 2000-2012 9.4375001 109429.8022
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.7678501 46360.0076 70.647423 1982-1999 –> 2000-2012 8.7224759 106223.3160
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.7467388 46291.0104 40.704896 1982-1999 –> 2000-2012 8.7302789 106310.3767
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.7949096 46445.9991 74.545242 1982-1999 –> 2000-2012 8.7811626 106477.9496
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.6445272 45952.5578 75.011259 1982-1999 –> 2000-2012 8.2923633 104086.0006
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.7965711 46451.3860 69.209155 1982-1999 –> 2000-2012 8.8054915 106604.8049
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1791804 44311.0866 51.794122 1982-1999 –> 2000-2012 7.6800403 101563.5385
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 4.7479098 46292.8454 40.201924 1982-1999 –> 2000-2012 8.7462890 106389.8627
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + phosphate_star 4.8353636 46574.6252 73.954993 1982-1999 –> 2000-2012 8.8649515 106836.1994
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.6885919 46097.3735 74.666491 1982-1999 –> 2000-2012 8.3845011 104509.2823
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5.6084222 26184.3495 19.877879 2000-2012 –> 2013-2019 10.6087885 73284.6856
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 5.9045002 26610.6837 21.256269 2000-2012 –> 2013-2019 11.2122957 74636.6977
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.9925950 26735.9896 59.012569 2000-2012 –> 2013-2019 10.7604452 73095.9971
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.4779966 25988.4388 33.867798 2000-2012 –> 2013-2019 10.2247354 72279.4493
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate_star 6.4087108 27292.9438 72.736018 2000-2012 –> 2013-2019 11.2036204 73738.9429
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6.3540594 27223.6379 72.729427 2000-2012 –> 2013-2019 10.9985866 73176.1957
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 6.0130013 26762.2935 57.523834 2000-2012 –> 2013-2019 10.8095724 73213.6795
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5.0612734 25329.6746 41.047414 2000-2012 –> 2013-2019 9.2404538 69640.7612
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 5.4787903 25987.6451 33.513657 2000-2012 –> 2013-2019 10.2267000 72280.4906
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 6.4142098 27300.0848 70.919059 2000-2012 –> 2013-2019 11.1028017 73397.4584
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.8100489 40539.2473 38.353495 1982-1999 –> 2000-2012 7.1280280 92204.9599
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate_star 4.0271854 41352.1159 37.648996 1982-1999 –> 2000-2012 7.4563726 93666.2085
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.3410751 38610.1487 32.628605 1982-1999 –> 2000-2012 6.1643125 87092.3486
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.6276227 39817.9010 32.134599 1982-1999 –> 2000-2012 6.6005742 89317.4660
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate_star 4.3863331 42610.0471 37.537275 1982-1999 –> 2000-2012 7.9109458 95467.6198
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5702464 39585.5086 33.491300 1982-1999 –> 2000-2012 6.5347769 89031.1136
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.1089389 41651.5834 53.387405 1982-1999 –> 2000-2012 7.5136674 93828.4621
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.5962591 39692.2384 33.645030 1982-1999 –> 2000-2012 6.6115668 89472.8886
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate_star 3.9612828 41111.5358 34.967392 1982-1999 –> 2000-2012 7.1966496 92279.8346
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.2421808 42118.7633 55.530735 1982-1999 –> 2000-2012 7.7752377 95023.5440
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 4.4215916 22726.7163 37.658975 2000-2012 –> 2013-2019 8.2316405 63265.9636
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate_star 4.6786931 23166.5825 36.927209 2000-2012 –> 2013-2019 8.7058785 64518.6984
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.8645078 21675.9023 31.423341 2000-2012 –> 2013-2019 7.2055829 60286.0510
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 4.2181404 22358.4466 30.995118 2000-2012 –> 2013-2019 7.8457631 62176.3477
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.8948364 23523.6593 50.857213 2000-2012 –> 2013-2019 9.2057906 65880.8573
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.1338823 22202.6998 33.279262 2000-2012 –> 2013-2019 7.7041287 61788.2084
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.8497861 23451.3722 66.556121 2000-2012 –> 2013-2019 8.9587250 65102.9556
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1716917 22273.8800 31.636730 2000-2012 –> 2013-2019 7.7679508 61966.1184
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.6111026 23054.8166 33.762957 2000-2012 –> 2013-2019 8.5723854 64166.3523
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.9779639 23653.3152 68.668246 2000-2012 –> 2013-2019 9.2201447 65772.0785
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.1665684 40099.8982 25.053065 1982-1999 –> 2000-2012 5.4126159 87960.3441
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.2953018 40719.0689 23.187702 1982-1999 –> 2000-2012 5.5939901 89074.9955
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.2954563 40719.7999 30.456038 1982-1999 –> 2000-2012 5.6083801 89208.3020
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.0654649 39594.0798 11.583687 1982-1999 –> 2000-2012 5.5343465 89485.8209
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.1037038 39785.3228 10.315295 1982-1999 –> 2000-2012 5.5838689 89772.9833
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.0584885 39558.5637 9.504795 1982-1999 –> 2000-2012 5.3187867 87554.8273
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate 3.3028597 40754.7798 20.873590 1982-1999 –> 2000-2012 5.8809155 91573.7066
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.2472499 40492.0922 24.685745 1982-1999 –> 2000-2012 5.5601714 88982.5727
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.5349231 41813.2497 23.431683 1982-1999 –> 2000-2012 5.9914287 91595.0752
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4706167 41529.0656 12.848124 1982-1999 –> 2000-2012 5.9808706 91777.6762
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.8192180 22797.6918 27.801018 2000-2012 –> 2013-2019 6.9857864 62897.5899
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 4.0025664 23182.9098 26.067115 2000-2012 –> 2013-2019 7.2978682 63901.9787
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 4.0348535 23249.2565 35.011617 2000-2012 –> 2013-2019 7.3303098 63969.0564
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.0034014 23186.6325 17.583942 2000-2012 –> 2013-2019 7.4185809 64464.6965
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.5489940 22191.7072 10.708006 2000-2012 –> 2013-2019 6.6144589 61785.7870
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 4.0051598 23188.2587 18.559686 2000-2012 –> 2013-2019 7.4217460 64470.7421
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.5990796 22305.4345 10.796496 2000-2012 –> 2013-2019 6.7027833 62090.7573
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5893554 22285.0923 11.103375 2000-2012 –> 2013-2019 6.6478438 61843.6560
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate 3.9605093 23095.6795 23.241015 2000-2012 –> 2013-2019 7.2633690 63850.4592
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.9481443 23071.8571 26.890775 2000-2012 –> 2013-2019 7.1953942 63563.9492
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.6510254 15741.8247 24.191515 1982-1999 –> 2000-2012 4.8057542 35247.2076
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.6648488 15775.9942 26.404732 1982-1999 –> 2000-2012 4.7914178 35164.1130
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6573761 15757.5448 23.706051 1982-1999 –> 2000-2012 4.7545379 35021.5368
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.6467606 15731.2467 24.736227 1982-1999 –> 2000-2012 4.7461667 35004.7731
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 2.6677616 15781.1714 25.028220 1982-1999 –> 2000-2012 4.7671809 35052.7536
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate 2.6825266 15817.4336 25.563216 1982-1999 –> 2000-2012 4.8099572 35207.1635
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.6591998 15762.0521 23.846206 1982-1999 –> 2000-2012 4.7566374 35027.2164
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2.6754414 15800.0577 22.315474 1982-1999 –> 2000-2012 4.7755899 35074.7356
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.6593135 15760.3330 23.663705 1982-1999 –> 2000-2012 4.7609594 35041.3641
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate_star 2.6880054 15828.8383 23.690269 1982-1999 –> 2000-2012 4.7896734 35107.9634
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.0795402 9329.0983 30.362926 2000-2012 –> 2013-2019 5.7305656 25070.9231
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 3.1060870 9358.5309 28.182934 2000-2012 –> 2013-2019 5.7692100 25128.2689
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.0828431 9331.0238 29.216505 2000-2012 –> 2013-2019 5.7338757 25070.8666
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate_star 3.1137279 9365.5283 29.491419 2000-2012 –> 2013-2019 5.7881837 25161.1651
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.1332958 9392.4698 33.494753 2000-2012 –> 2013-2019 5.7981447 25168.4640
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.1060122 9360.4427 28.288842 2000-2012 –> 2013-2019 5.7633883 25117.9875
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.0827974 9332.9695 29.138730 2000-2012 –> 2013-2019 5.7295579 25064.2162
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 3.1135288 9367.2941 29.650786 2000-2012 –> 2013-2019 5.7812904 25148.4656
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.1360230 9395.6558 28.171900 2000-2012 –> 2013-2019 5.7952229 25157.7079
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.1412078 9399.7051 26.707078 2000-2012 –> 2013-2019 5.8005213 25160.0380
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.7431168 19666.5017 30.871068 1982-1999 –> 2000-2012 4.8615079 43858.4733
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.7536730 19697.5897 31.792295 1982-1999 –> 2000-2012 4.9203073 44140.5025
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7815205 19779.0321 35.806615 1982-1999 –> 2000-2012 4.9022961 43983.5401
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate_star 2.7586348 19710.1611 34.012716 1982-1999 –> 2000-2012 4.8770280 43900.1434
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.7582987 19711.1748 33.775588 1982-1999 –> 2000-2012 4.8681472 43858.1163
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 2.7461187 19673.3544 30.533650 1982-1999 –> 2000-2012 4.8647366 43864.5191
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.7460735 19675.2212 30.486126 1982-1999 –> 2000-2012 4.8570747 43828.2496
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 2.7837812 19783.6078 35.395719 1982-1999 –> 2000-2012 4.9058445 43992.8803
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + phosphate_star 2.7606894 19714.1870 33.644807 1982-1999 –> 2000-2012 4.8793078 43903.3543
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.7599939 19714.1477 33.348940 1982-1999 –> 2000-2012 4.8710511 43865.4716
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 3.0952577 10931.1007 37.417437 2000-2012 –> 2013-2019 5.8489309 30626.6911
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.0928060 10929.7061 37.733847 2000-2012 –> 2013-2019 5.8359228 30596.2078
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.0859175 10920.1539 36.636123 2000-2012 –> 2013-2019 5.8395905 30617.7436
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate 3.1019057 10938.2921 39.850258 2000-2012 –> 2013-2019 5.8609553 30647.6701
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate_star 3.0936018 10928.8082 38.482684 2000-2012 –> 2013-2019 5.8522366 30638.9693
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate 3.0891329 10922.6153 38.170291 2000-2012 –> 2013-2019 5.8479314 30633.2568
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.0826259 10915.5819 37.073345 2000-2012 –> 2013-2019 5.8409245 30626.7566
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 3.1094905 10950.7545 35.259684 2000-2012 –> 2013-2019 5.8655697 30653.4138
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.1048401 10946.3428 35.696250 2000-2012 –> 2013-2019 5.8509136 30621.5640
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.1049348 10944.4735 35.452205 2000-2012 –> 2013-2019 5.8649287 30658.6212
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2143379 17725.1356 8.493771 1982-1999 –> 2000-2012 4.2244267 41531.3014
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.2426483 17826.7679 8.852835 1982-1999 –> 2000-2012 4.1979448 41322.3483
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 2.2589943 17882.8660 8.624166 1982-1999 –> 2000-2012 4.2750025 41720.0772
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2587157 17883.8792 8.665561 1982-1999 –> 2000-2012 4.2277417 41458.0938
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 2.2436028 17828.1719 8.852520 1982-1999 –> 2000-2012 4.2347576 41525.9800
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.2419974 17824.4454 8.822692 1982-1999 –> 2000-2012 4.2017336 41345.5145
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate 2.2670056 17909.1871 8.527904 1982-1999 –> 2000-2012 4.2831797 41745.3231
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 2.2644434 17902.1400 8.476091 1982-1999 –> 2000-2012 4.2518453 41578.7467
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.3047817 18045.3961 8.227032 1982-1999 –> 2000-2012 4.3004957 41770.9062
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.3167477 18084.8230 8.486770 1982-1999 –> 2000-2012 4.3124717 41808.3899
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 2.4029551 10163.3105 8.501463 2000-2012 –> 2013-2019 4.6574030 28030.0593
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.3842351 10130.7263 8.366988 2000-2012 –> 2013-2019 4.5985730 27855.8620
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.4016759 10162.9558 8.333752 2000-2012 –> 2013-2019 4.6527983 28019.8955
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.4750570 10296.0430 8.900837 2000-2012 –> 2013-2019 4.7177053 28122.8109
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 2.4782080 10299.6691 8.969714 2000-2012 –> 2013-2019 4.7372023 28182.5352
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.4692392 10285.6366 9.060557 2000-2012 –> 2013-2019 4.7279549 28169.5158
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 2.4800741 10302.9977 8.895172 2000-2012 –> 2013-2019 4.7236769 28131.1695
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4526233 10255.7797 8.813300 2000-2012 –> 2013-2019 4.6946206 28080.2251
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate 2.5057678 10346.5741 8.977222 2000-2012 –> 2013-2019 4.7727734 28255.7612
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 2.4710154 10286.8163 9.091710 2000-2012 –> 2013-2019 4.7354587 28188.9563
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 1.9272978 10723.4465 8.916703 1982-1999 –> 2000-2012 3.6162540 25358.8351
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.9269949 10724.6353 8.965614 1982-1999 –> 2000-2012 3.5762170 25182.8526
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 1.9323668 10737.0055 8.825899 1982-1999 –> 2000-2012 3.5832870 25200.9675
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1.9270503 10722.7836 8.984059 1982-1999 –> 2000-2012 3.5873970 25229.5958
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.9078444 10673.0787 8.778068 1982-1999 –> 2000-2012 3.5966754 25309.9090
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8958513 10640.5267 8.767085 1982-1999 –> 2000-2012 3.5288463 25024.3270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate 1.9080141 10671.5377 8.771278 1982-1999 –> 2000-2012 3.6231246 25422.5771
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.9072203 10671.3898 8.712059 1982-1999 –> 2000-2012 3.5597902 25144.8684
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.9571597 10802.8141 9.092021 1982-1999 –> 2000-2012 3.6343973 25385.8026
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.9453950 10773.6914 9.600811 1982-1999 –> 2000-2012 3.6007879 25260.0155
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 2.0918415 6340.5890 8.709518 2000-2012 –> 2013-2019 4.0191392 17064.0355
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.0709455 6313.1331 8.713211 2000-2012 –> 2013-2019 3.9979404 17037.7684
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate 2.0924681 6339.4678 8.681398 2000-2012 –> 2013-2019 4.0317597 17092.9385
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 2.0838357 6329.3386 8.650974 2000-2012 –> 2013-2019 4.0162026 17066.3441
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.0718737 6312.4479 8.608198 2000-2012 –> 2013-2019 3.9989240 17035.2315
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.0619981 6300.4294 8.794721 2000-2012 –> 2013-2019 3.9698425 16973.5081
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate 2.0621507 6298.6466 8.806887 2000-2012 –> 2013-2019 3.9888742 17020.5547
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0621491 6300.6443 8.805830 2000-2012 –> 2013-2019 3.9580004 16941.1710
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate 2.1112028 6367.6201 9.021283 2000-2012 –> 2013-2019 4.0192169 17039.1578
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0624051 6301.0085 8.735205 2000-2012 –> 2013-2019 3.9696254 16972.3983
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.6396635 76233.5531 7.832848 1982-1999 –> 2000-2012 3.1325623 176852.8215
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 1.7584799 79018.2887 8.670011 1982-1999 –> 2000-2012 3.3804247 184219.2735
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1.7945525 79827.1553 8.869720 1982-1999 –> 2000-2012 3.4573054 186401.9740
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.7053396 77797.9632 8.898797 1982-1999 –> 2000-2012 3.2455996 180143.9568
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5314928 73514.9585 14.185354 1982-1999 –> 2000-2012 2.8636804 167837.0700
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5281199 73427.1334 14.378394 1982-1999 –> 2000-2012 2.8513606 167376.6806
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5317666 73520.0807 14.250129 1982-1999 –> 2000-2012 2.8640890 167845.7842
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.7445694 78701.9282 8.216785 1982-1999 –> 2000-2012 3.4461327 186552.3949
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.5308210 73497.4825 10.138151 1982-1999 –> 2000-2012 2.7926269 164818.6463
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1.7791251 79483.2299 14.398530 1982-1999 –> 2000-2012 3.2837701 180533.8043
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.7989953 42978.0695 14.155567 2000-2012 –> 2013-2019 3.4386588 119211.6226
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 1.9094055 44251.6842 12.865914 2000-2012 –> 2013-2019 3.6678854 123269.9729
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1.9449714 44646.9235 12.859642 2000-2012 –> 2013-2019 3.7395239 124474.0788
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.8703531 43811.1286 19.368278 2000-2012 –> 2013-2019 3.5756927 121609.0918
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.7322153 42167.9616 16.575055 2000-2012 –> 2013-2019 3.2637081 115682.9201
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.9870127 45104.9067 18.529833 2000-2012 –> 2013-2019 3.8093087 125543.1769
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.7344727 42195.8521 17.075855 2000-2012 –> 2013-2019 3.2625926 115622.9856
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7349951 42200.3016 16.913655 2000-2012 –> 2013-2019 3.2667617 115720.3823
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.8708037 43814.2871 19.172451 2000-2012 –> 2013-2019 3.6153731 122516.2154
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.7932852 42909.9867 20.922377 2000-2012 –> 2013-2019 3.3241063 116407.4692

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)
# mutate predictors column
lm_best_plot <- lm_best_target %>%
  select(basin, gamma_slab, model, eras, era) %>%
  mutate(predictors = str_remove(model, paste(params_local$MLR_target, "~ ")),
         predictors = str_replace_all(predictors, "\\+ ", ""))

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[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)
      
      lm_best_basin_era_slab <- lm_best_plot %>%
        filter(basin == i_basin, era == i_era, gamma_slab == i_gamma_slab)
      
      for (i_predictors in unique(lm_best_basin_era_slab$predictors)) {
        #i_predictors <- unique(lm_best_basin_era_slab$predictors)[1]
        print(i_predictors)
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # 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(lm_best_plot, lm_best_basin_era_slab, i_rmse,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   i_lm, lm_all_fitted, 
   i_basin, i_era, i_gamma_slab, i_predictors,
   lm_all,
   i_aic, i_n_predictors, i_resid_max)

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
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

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

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

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

6.2.2 Best models

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

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

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

6.3 Predictor counts

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

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

# 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_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 8 6 5 10 6 9
(26,26.5] 6 6 5 9 8 10
(26.5,26.75] 7 7 10 6 8 7
(26.75,27] 7 7 10 7 8 6
(27,27.25] 8 7 8 7 9 7
(27.25,27.5] 8 8 7 7 9 7
(27.5,27.75] 7 7 8 8 7 9
(27.75,27.85] 6 6 8 10 6 8
(27.85,27.95] 6 8 9 6 5 10
(27.95,28.05] 7 6 10 5 5 10
(28.05,28.1] 8 7 9 7 6 9
(28.1,28.15] 8 7 8 8 6 9
(28.15,28.2] 9 10 7 6 6 7
(28.2, Inf] 9 10 6 8 6 5
total 104.00 102.00 110.00 104.00 95.00 113.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 7 5 5 10 6 10
(26,26.5] 6 6 5 9 8 10
(26.5,26.75] 7 7 10 6 8 7
(26.75,27] 7 7 10 7 8 6
(27,27.25] 7 7 7 8 10 6
(27.25,27.5] 8 8 7 7 9 7
(27.5,27.75] 6 7 8 10 7 7
(27.75,27.85] 6 6 8 10 9 5
(27.85,27.95] 6 6 9 9 6 9
(27.95,28.05] 7 6 10 5 5 10
(28.05,28.1] 8 7 9 7 6 9
(28.1,28.15] 8 7 8 8 6 9
(28.15,28.2] 9 10 6 7 6 7
(28.2, Inf] 8 10 6 9 6 5
total 100.00 99.00 108.00 112.00 100.00 107.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 6 6 8 9 5 10
(26,26.5] 6 5 10 7 5 10
(26.5,26.75] 5 7 10 5 6 10
(26.75,27] 7 5 10 6 5 10
(27,27.25] 6 8 10 5 6 9
(27.25,27.5] 7 6 10 5 10 5
(27.5,27.75] 6 6 7 9 10 7
(27.75,27.85] 6 6 8 5 10 9
(27.85,27.95] 6 8 9 5 6 10
(27.95,28.05] 5 6 6 8 10 9
(28.05,28.1] 6 7 7 9 10 6
(28.1, Inf] 6 7 10 7 8 7
total 72.00 77.00 105.00 80.00 91.00 102.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 6 5 9 8 6 10
(26,26.5] 5 5 10 6 7 10
(26.5,26.75] 5 7 10 5 6 10
(26.75,27] 8 6 10 6 5 9
(27,27.25] 7 7 10 6 7 8
(27.25,27.5] 8 6 10 5 9 6
(27.5,27.75] 7 6 7 10 8 7
(27.75,27.85] 5 6 9 8 10 6
(27.85,27.95] 5 10 5 7 6 10
(27.95,28.05] 6 6 6 10 8 8
(28.05,28.1] 7 6 5 10 10 5
(28.1, Inf] 6 7 10 8 7 7
total 75.00 77.00 101.00 89.00 89.00 96.00

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

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

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

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

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

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

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

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