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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove predictor combinations with nitrate and phosphate
m_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:

  • 112

4 Fit all models

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

  • cstar_tref

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

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

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.0382074 474.2332 3.944222 1982-1999 –> 2000-2012 2.3741051 1198.9867
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.0492038 475.5626 4.357844 1982-1999 –> 2000-2012 2.3855522 1198.4564
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0480832 477.2249 4.299021 1982-1999 –> 2000-2012 2.3837757 1201.9145
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.0440638 476.0107 4.148260 1982-1999 –> 2000-2012 2.3813170 1201.1861
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0458289 476.5445 4.199297 1982-1999 –> 2000-2012 2.3833703 1201.8095
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 1.0547002 477.2137 4.547311 1982-1999 –> 2000-2012 2.3926132 1200.5942
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0447877 476.2297 3.991338 1982-1999 –> 2000-2012 2.3809752 1201.0734
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0538228 478.9507 4.496846 1982-1999 –> 2000-2012 2.3907671 1204.0299
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0553928 479.4211 4.540758 1982-1999 –> 2000-2012 2.3925975 1204.5814
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.0478179 477.1449 4.250178 1982-1999 –> 2000-2012 2.3861691 1202.6617
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.1326926 236.2692 2.855476 2000-2012 –> 2013-2019 2.1709001 710.5024
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.2417197 721.0407
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.1361477 236.7078 2.802670 2000-2012 –> 2013-2019 2.1802115 712.7185
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1377961 236.9166 2.786570 2000-2012 –> 2013-2019 2.1836250 713.4610
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.2083604 245.5812 2.691226 2000-2012 –> 2013-2019 2.2954998 734.3676
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2718853 252.9592 3.547879 2000-2012 –> 2013-2019 2.3166730 729.1889
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1990801 244.4710 3.379652 2000-2012 –> 2013-2019 2.2529029 723.4217
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2012446 244.7307 3.425080 2000-2012 –> 2013-2019 2.2566374 724.1518
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.1396017 237.1449 2.772460 2000-2012 –> 2013-2019 2.1874195 714.2898
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2024324 244.8730 3.445295 2000-2012 –> 2013-2019 2.2595421 724.8078
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.3042550 5482.8009 13.811611 1982-1999 –> 2000-2012 6.5688725 13433.1484
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5518213 5633.9468 13.477555 1982-1999 –> 2000-2012 6.9985663 13749.8718
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.4447540 5567.9148 15.626500 1982-1999 –> 2000-2012 6.8794929 13671.1971
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.3726755 5525.6771 14.465145 1982-1999 –> 2000-2012 6.7342249 13565.2657
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3758183 5527.6256 14.515788 1982-1999 –> 2000-2012 6.7415640 13571.0193
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.3139957 5488.9589 14.956164 1982-1999 –> 2000-2012 6.6524475 13507.5183
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6117860 5668.9708 14.137864 1982-1999 –> 2000-2012 7.1481878 13863.2182
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6195773 5673.4788 14.246703 1982-1999 –> 2000-2012 7.1670157 13877.2298
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.3921889 5537.7460 14.699641 1982-1999 –> 2000-2012 6.7814241 13602.3516
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6210378 5674.3227 14.283746 1982-1999 –> 2000-2012 7.1729019 13881.8766
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.2403908 2956.3132 10.534106 2000-2012 –> 2013-2019 6.5446458 8439.1141
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6070302 3077.8676 10.902628 2000-2012 –> 2013-2019 7.1588515 8711.8144
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.3369968 2987.6271 10.231047 2000-2012 –> 2013-2019 6.7817508 8555.5419
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.2965285 2975.7908 9.955222 2000-2012 –> 2013-2019 6.6692041 8501.4679
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.2984682 2976.4579 9.956192 2000-2012 –> 2013-2019 6.6742865 8504.0835
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.1723161 2932.2362 9.432214 2000-2012 –> 2013-2019 6.4863118 8421.1950
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6470365 3090.3758 10.325180 2000-2012 –> 2013-2019 7.2588226 8759.3466
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6519756 3091.9105 10.331554 2000-2012 –> 2013-2019 7.2715530 8765.3893
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.3102918 2980.5155 9.977380 2000-2012 –> 2013-2019 6.7024807 8518.2615
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6516653 3091.8142 10.332889 2000-2012 –> 2013-2019 7.2727031 8766.1369
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.2423787 7265.1167 9.560288 1982-1999 –> 2000-2012 6.2982027 16900.6544
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3429532 7348.4661 10.697715 1982-1999 –> 2000-2012 6.4415667 17034.7612
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.3033338 7317.1548 9.343758 1982-1999 –> 2000-2012 6.4439101 17056.4852
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2700730 7288.8799 10.507891 1982-1999 –> 2000-2012 6.3292231 16928.5449
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2846060 7301.2695 10.500101 1982-1999 –> 2000-2012 6.3669620 16969.6063
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3014232 7315.5384 10.543653 1982-1999 –> 2000-2012 6.4059223 17011.0331
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3059150 7319.3372 10.550809 1982-1999 –> 2000-2012 6.4173056 17023.2446
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.2989930 7313.4809 9.947012 1982-1999 –> 2000-2012 6.4141750 17022.0087
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3250708 7335.4800 10.297171 1982-1999 –> 2000-2012 6.4698137 17079.8406
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2249399 7250.0489 10.037456 1982-1999 –> 2000-2012 6.2079736 16794.1190
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.3433340 3459.1900 9.454244 2000-2012 –> 2013-2019 6.5857127 10724.3067
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.3807232 3473.7810 10.074129 2000-2012 –> 2013-2019 6.6840570 10790.9358
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.3850399 3473.4551 10.375376 2000-2012 –> 2013-2019 6.7166909 10812.4589
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3455096 3460.0435 10.735554 2000-2012 –> 2013-2019 6.6155826 10748.9234
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3565540 3464.3677 10.767824 2000-2012 –> 2013-2019 6.6411600 10765.6372
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3723676 3470.5343 10.887326 2000-2012 –> 2013-2019 6.6737908 10786.0727
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3762721 3472.0524 10.919163 2000-2012 –> 2013-2019 6.6821871 10791.3896
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.3892046 3477.0684 9.580435 2000-2012 –> 2013-2019 6.6881976 10790.5493
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4093443 3484.8416 9.603997 2000-2012 –> 2013-2019 6.7344151 10820.3216
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3238240 3451.5114 11.113656 2000-2012 –> 2013-2019 6.5487639 10701.5603
Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.0422179 10243.7478 13.072427 1982-1999 –> 2000-2012 3.6820169 22274.6044
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.7661002 22513.8376
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0001820 10143.9994 14.081577 1982-1999 –> 2000-2012 3.6531709 22225.1681
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0669164 10301.4026 14.196373 1982-1999 –> 2000-2012 3.7902516 22644.2987
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.1361037 10459.3140 22.290539 1982-1999 –> 2000-2012 3.8999248 22948.0383
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.1629225 10519.1528 25.264079 1982-1999 –> 2000-2012 3.9413088 23059.5230
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.1370107 10461.3499 13.373762 1982-1999 –> 2000-2012 3.8855808 22895.5375
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.1989701 10598.4250 16.309198 1982-1999 –> 2000-2012 3.9946362 23199.5206
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.2004206 10599.5875 15.280820 1982-1999 –> 2000-2012 3.9880121 23170.3800
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.0860637 10345.6268 19.975942 1982-1999 –> 2000-2012 3.5995129 21872.9381
Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.5145378 5927.4356 22.300060 2000-2012 –> 2013-2019 4.5567556 16171.1833
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6364762 6045.0524 27.471250 2000-2012 –> 2013-2019 4.7300390 16405.8891
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.5534340 5966.2100 22.124060 2000-2012 –> 2013-2019 4.7278634 16510.8101
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.5846959 5994.9482 24.744636 2000-2012 –> 2013-2019 4.7623441 16544.6427
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.5332582 16089.9896
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5653762 5977.9963 25.592327 2000-2012 –> 2013-2019 4.6322925 16279.3988
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5985873 6010.4878 25.748151 2000-2012 –> 2013-2019 4.7346911 16469.8018
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6096389 6021.2079 25.770703 2000-2012 –> 2013-2019 4.7725614 16540.3607
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.6260789 6037.0711 22.609023 2000-2012 –> 2013-2019 4.7630896 16498.4210
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.3413155 15998.1644
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.9602837 8511.8166 15.249340 1982-1999 –> 2000-2012 3.7044185 18840.2962
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.8626152 8304.2173 11.021443 1982-1999 –> 2000-2012 3.5644105 18504.3667
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9148200 8414.4995 9.235730 1982-1999 –> 2000-2012 3.6311952 18657.1971
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8904789 8364.5325 9.689213 1982-1999 –> 2000-2012 3.4604645 18143.6984
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8979717 8380.6003 9.355072 1982-1999 –> 2000-2012 3.4547428 18115.6267
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9187787 8424.8886 8.642107 1982-1999 –> 2000-2012 3.5002075 18241.9782
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9234272 8434.7175 8.493771 1982-1999 –> 2000-2012 3.5167839 18291.0461
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.0463518 8686.3583 13.496221 1982-1999 –> 2000-2012 3.7135284 18779.1843
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0594140 8712.2044 13.384239 1982-1999 –> 2000-2012 3.7359927 18834.3973
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.1067869 8804.5844 12.394761 1982-1999 –> 2000-2012 3.8168590 19030.0700
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.4331867 5285.7925 20.133740 2000-2012 –> 2013-2019 4.3934703 13797.6091
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.1593133 5013.0566 10.465472 2000-2012 –> 2013-2019 4.0219286 13317.2739
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2408412 5097.7041 11.555324 2000-2012 –> 2013-2019 4.3317934 13871.6430
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.3003827 5155.6000 13.777336 2000-2012 –> 2013-2019 4.2152027 13570.0995
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.1851737 13516.4782
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.3424794 5197.0192 15.033313 2000-2012 –> 2013-2019 4.4776528 14053.9689
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2882847 5145.5566 14.231726 2000-2012 –> 2013-2019 4.1862565 13526.1569
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3093184 5166.4549 14.219293 2000-2012 –> 2013-2019 4.2280971 13591.3435
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3856862 5240.7635 15.221464 2000-2012 –> 2013-2019 4.4201181 13903.3917
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3127467 5169.8432 14.213647 2000-2012 –> 2013-2019 4.2361739 13604.5606
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.2571186 9057.7617 21.333316 1982-1999 –> 2000-2012 3.9135961 20144.1869
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.4835165 9444.8868 16.071294 1982-1999 –> 2000-2012 4.9052169 22717.3059
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.4514644 9392.2776 12.813379 1982-1999 –> 2000-2012 4.9864330 22927.8111
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6905754 9769.2091 21.422922 1982-1999 –> 2000-2012 4.8576234 22402.1133
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.1625100 8884.3428 12.574713 1982-1999 –> 2000-2012 3.8613513 20116.1247
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7127786 9802.4934 22.028851 1982-1999 –> 2000-2012 4.9396802 22592.2216
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.4063497 9315.0504 11.614926 1982-1999 –> 2000-2012 4.1264292 20616.3452
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.2664591 9074.4871 13.372191 1982-1999 –> 2000-2012 3.9854665 20374.1931
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.2547324 9053.4778 15.509020 1982-1999 –> 2000-2012 3.9706310 20342.7650
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.3326197 9191.0186 10.601623 1982-1999 –> 2000-2012 4.1616629 20847.8613
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.7884162 5435.7065 20.513112 2000-2012 –> 2013-2019 5.0455349 14493.4682
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.0051254 5599.7139 21.412798 2000-2012 –> 2013-2019 5.7555576 15456.0350
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 3.0025580 5597.8181 16.245244 2000-2012 –> 2013-2019 5.5311321 15113.5242
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.9863807 5587.8356 14.517111 2000-2012 –> 2013-2019 5.4698972 15032.7224
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7952620 5441.1451 16.992150 2000-2012 –> 2013-2019 5.2467264 14833.4228
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8205406 5461.1132 14.090309 2000-2012 –> 2013-2019 4.9830506 14345.4560
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 3.1081847 5674.5038 12.222568 2000-2012 –> 2013-2019 5.5145344 14989.5543
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.8123363 5454.6522 14.111336 2000-2012 –> 2013-2019 5.0787954 14529.1392
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.7923328 5438.8197 16.610907 2000-2012 –> 2013-2019 5.0470652 14492.2975
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.8746758 5503.2804 14.300893 2000-2012 –> 2013-2019 5.2072955 14694.2990
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.5430119 13205.6294 18.070467 1982-1999 –> 2000-2012 4.7527497 29737.4443
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.3843613 12844.3739 16.074344 1982-1999 –> 2000-2012 4.6854817 29678.8092
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3944064 12867.9502 14.685866 1982-1999 –> 2000-2012 4.4949743 29021.3907
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.5420080 13203.4151 18.096781 1982-1999 –> 2000-2012 4.7409465 29698.6433
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3920617 12862.4560 14.587684 1982-1999 –> 2000-2012 4.4588552 28894.8448
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.4132697 12911.9574 14.216479 1982-1999 –> 2000-2012 4.4797512 28943.2189
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.5818640 13290.6606 17.659625 1982-1999 –> 2000-2012 4.8043124 29865.3090
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4148672 12915.6685 14.181558 1982-1999 –> 2000-2012 4.4833272 28954.0764
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.4122515 12909.5908 14.214259 1982-1999 –> 2000-2012 4.4796273 28944.0833
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.4316201 12952.4392 14.640607 1982-1999 –> 2000-2012 4.5318205 29102.5728
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.8849775 7523.7206 21.626774 2000-2012 –> 2013-2019 5.4279894 20729.3500
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.7078202 7331.6999 19.383046 2000-2012 –> 2013-2019 5.0921815 20176.0738
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.8745087 7510.7055 15.545879 2000-2012 –> 2013-2019 5.3284002 20514.2749
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.8711798 7509.1946 15.461950 2000-2012 –> 2013-2019 5.2655862 20377.1448
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.8717546 7509.8010 21.184103 2000-2012 –> 2013-2019 5.4137626 20713.2162
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.8690598 7506.9564 15.594453 2000-2012 –> 2013-2019 5.2611214 20369.4124
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8670393 7504.8218 16.960962 2000-2012 –> 2013-2019 5.2803090 20416.7793
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.8833164 7521.9755 16.841839 2000-2012 –> 2013-2019 5.2981836 20437.6440
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8660787 7503.8064 16.855872 2000-2012 –> 2013-2019 5.2783302 20413.3972
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.9784908 7618.3764 19.270332 2000-2012 –> 2013-2019 5.4101109 20570.8156
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate 1.6166443 3947.3312 14.036706 1982-1999 –> 2000-2012 3.2995903 9079.5698
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.5100084 3807.9434 14.539112 1982-1999 –> 2000-2012 3.0360994 8683.8943
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.6095022 3940.1571 13.113728 1982-1999 –> 2000-2012 3.2728806 9043.5207
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5641536 3880.9392 12.798383 1982-1999 –> 2000-2012 3.1611985 8876.8661
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.5197119 3821.2156 14.808950 1982-1999 –> 2000-2012 3.0586861 8719.3599
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6216292 3955.7103 16.087961 1982-1999 –> 2000-2012 3.2308513 8971.6904
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6994499 4052.8317 11.282662 1982-1999 –> 2000-2012 3.2672503 8999.9679
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5917451 3917.1705 12.897616 1982-1999 –> 2000-2012 3.2211161 8966.0004
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.5430795 3852.8330 15.324821 1982-1999 –> 2000-2012 3.1087399 8796.3632
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6298056 3966.1312 13.022129 1982-1999 –> 2000-2012 3.3011800 9082.1552
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate 1.7818523 2060.5034 13.626298 2000-2012 –> 2013-2019 3.3984967 6007.8346
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.7094323 2019.9324 13.736344 2000-2012 –> 2013-2019 3.2194407 5827.8758
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.7344893 2034.8625 11.391059 2000-2012 –> 2013-2019 3.3439915 5975.0196
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7475521 2042.5606 12.039326 2000-2012 –> 2013-2019 3.3117057 5923.4997
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.7242945 2028.8142 13.967079 2000-2012 –> 2013-2019 3.2440064 5850.0298
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7754726 2058.8233 12.075398 2000-2012 –> 2013-2019 3.3672178 5975.9938
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8242119 2086.6088 12.213063 2000-2012 –> 2013-2019 3.4614785 6062.2038
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.7556052 2047.2777 14.468303 2000-2012 –> 2013-2019 3.2986847 5900.1107
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8185913 2083.4428 12.157352 2000-2012 –> 2013-2019 3.4483969 6049.5740
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8275241 2088.4700 12.223997 2000-2012 –> 2013-2019 3.4690021 6069.3878
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.4411154 5231.2074 39.186076 1982-1999 –> 2000-2012 6.3448005 11882.9115
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.4269579 5225.1022 39.102145 1982-1999 –> 2000-2012 6.2927680 11843.7240
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.4332878 5226.7302 38.381356 1982-1999 –> 2000-2012 6.3108859 11854.3203
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.4355650 5230.0338 35.139570 1982-1999 –> 2000-2012 6.1527494 11706.3586
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.4396213 5230.3536 36.781212 1982-1999 –> 2000-2012 6.1696286 11717.2584
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.4272905 5225.2930 34.214054 1982-1999 –> 2000-2012 6.1571686 11714.0714
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.9304503 4917.3900 22.456892 1982-1999 –> 2000-2012 5.6593028 11405.1644
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.0821699 5016.6293 23.370605 1982-1999 –> 2000-2012 5.9778226 11662.9317
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.0946626 5022.5819 23.332862 1982-1999 –> 2000-2012 6.0114682 11686.3324
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0757549 5012.5332 23.130965 1982-1999 –> 2000-2012 5.9400103 11629.7050
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.2198068 2959.4398 28.682477 2000-2012 –> 2013-2019 6.6553718 8189.4735
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.4103854 3022.8793 30.447244 2000-2012 –> 2013-2019 6.8500067 8253.2329
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3215129 2994.8304 29.207068 2000-2012 –> 2013-2019 6.7488034 8220.1234
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.2167027 2958.3421 28.783818 2000-2012 –> 2013-2019 6.9174456 8334.5523
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.2269879 2961.9750 29.065190 2000-2012 –> 2013-2019 7.0153766 8384.2037
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.3261262 2996.4099 29.121490 2000-2012 –> 2013-2019 6.2565764 7913.7999
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3417360 3001.7382 29.366995 2000-2012 –> 2013-2019 7.0328338 8372.8178
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.6712299 3108.7515 22.690294 2000-2012 –> 2013-2019 6.7533998 8125.3808
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.6730463 3107.3144 22.693963 2000-2012 –> 2013-2019 6.7677089 8129.8962
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.6600265 3105.2733 23.151675 2000-2012 –> 2013-2019 6.7357814 8117.8065
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.0178610 6779.7292 25.762442 1982-1999 –> 2000-2012 7.6900067 15910.2128
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.1624092 6864.8384 29.399782 1982-1999 –> 2000-2012 7.7397732 15907.6675
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 4.2522303 6914.2482 32.185459 1982-1999 –> 2000-2012 7.9298382 16047.7141
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4.1957717 6884.0621 30.223807 1982-1999 –> 2000-2012 7.7898469 15942.5131
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.9558395 6742.2684 22.787482 1982-1999 –> 2000-2012 7.7155699 15951.7623
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4.2268913 6901.8560 32.270727 1982-1999 –> 2000-2012 7.9021464 16035.1768
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.8735532 6691.6507 19.419274 1982-1999 –> 2000-2012 7.7104519 15969.2478
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.9682210 6749.7934 25.265565 1982-1999 –> 2000-2012 7.6108086 15853.1867
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.8590720 6682.6316 25.099675 1982-1999 –> 2000-2012 7.3908813 15682.5017
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.9591041 6744.2548 25.125796 1982-1999 –> 2000-2012 7.5958976 15842.3119
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.5624057 3596.2470 28.359612 2000-2012 –> 2013-2019 7.5802666 10375.9761
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.4782139 3564.3893 31.711472 2000-2012 –> 2013-2019 7.6406231 10429.2278
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.4861342 3567.4190 32.154120 2000-2012 –> 2013-2019 7.6819059 10451.4811
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.5357472 3586.2418 25.590197 2000-2012 –> 2013-2019 7.4915867 10328.5101
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.6379372 3624.1933 25.188475 2000-2012 –> 2013-2019 7.6972651 10428.6472
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.4602252 3557.4826 32.737359 2000-2012 –> 2013-2019 7.6871165 10459.3386
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.7631817 3669.2788 21.509432 2000-2012 –> 2013-2019 7.6367350 10360.9296
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.5417278 3588.4929 27.962736 2000-2012 –> 2013-2019 7.5099488 10338.2863
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.5060655 3575.0128 26.986021 2000-2012 –> 2013-2019 7.3651375 10257.6443
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.5394291 3587.6281 27.891571 2000-2012 –> 2013-2019 7.4985332 10331.8828
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.0231680 2332.4823 7.031639 1982-1999 –> 2000-2012 1.9126904 5148.1021
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0324411 2346.9902 6.945256 1982-1999 –> 2000-2012 1.9247967 5169.4535
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.0272609 2338.9019 6.919786 1982-1999 –> 2000-2012 1.9211969 5165.1730
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0374154 2354.7189 6.772617 1982-1999 –> 2000-2012 1.9399611 5201.6173
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.9934328 2285.0583 8.087713 1982-1999 –> 2000-2012 1.8641000 5054.5716
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0379653 2355.5710 6.801673 1982-1999 –> 2000-2012 1.9363554 5192.5380
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.0296888 2342.6978 6.877082 1982-1999 –> 2000-2012 1.9271406 5177.4160
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0412160 2360.5991 6.747646 1982-1999 –> 2000-2012 1.9443274 5208.8459
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.0479786 2371.0092 11.443033 1982-1999 –> 2000-2012 1.9043810 5104.9727
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0436142 2364.2985 12.188672 1982-1999 –> 2000-2012 1.8828911 5054.7923
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.0460351 1284.7046 7.627744 2000-2012 –> 2013-2019 2.0692031 3617.1869
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0586072 1295.0748 7.429722 2000-2012 –> 2013-2019 2.0910483 3642.0650
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.0500656 1288.0427 7.506976 2000-2012 –> 2013-2019 2.0773265 3626.9446
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0605845 1296.6946 7.328068 2000-2012 –> 2013-2019 2.0979999 3651.4134
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0174317 1260.6390 9.169936 2000-2012 –> 2013-2019 2.0108645 3545.6973
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0645856 1299.9629 7.272475 2000-2012 –> 2013-2019 2.1025508 3655.5339
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0701724 1304.5062 7.163185 2000-2012 –> 2013-2019 2.1143246 3669.6335
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.0517810 1289.4595 7.474466 2000-2012 –> 2013-2019 2.0814698 3632.1573
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0832185 1315.0237 7.100796 2000-2012 –> 2013-2019 2.1382142 3696.7638
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0672164 1302.1053 7.231208 2000-2012 –> 2013-2019 2.1084324 3662.7045
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.7619305 2161.2561 6.055788 1982-1999 –> 2000-2012 1.3943141 4663.4161
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7598609 2156.1646 5.927820 1982-1999 –> 2000-2012 1.3893138 4646.2932
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.7657655 2170.6548 5.940365 1982-1999 –> 2000-2012 1.4035442 4694.8171
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7694118 2179.5475 5.861659 1982-1999 –> 2000-2012 1.4115736 4721.4486
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7641038 2166.5883 5.828897 1982-1999 –> 2000-2012 1.3992369 4679.9843
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.7691115 2178.8167 5.746491 1982-1999 –> 2000-2012 1.4118046 4722.8599
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.7682084 2176.6172 5.890183 1982-1999 –> 2000-2012 1.4104862 4718.9860
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7666596 2172.8394 5.792427 1982-1999 –> 2000-2012 1.4061667 4704.0109
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.8033422 2260.3327 10.678091 1982-1999 –> 2000-2012 1.3981145 4603.6800
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7856962 2218.7544 10.025704 1982-1999 –> 2000-2012 1.3744859 4535.9182
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.8713460 1287.5350 6.170119 2000-2012 –> 2013-2019 1.6332764 3448.7912
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.8714406 1285.6430 6.181914 2000-2012 –> 2013-2019 1.6447306 3472.6026
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.6311195 3443.5998
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.8772737 1294.2742 6.030801 2000-2012 –> 2013-2019 1.6430391 3464.9290
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8847238 1302.6800 5.915366 2000-2012 –> 2013-2019 1.6541356 3482.2275
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 0.8778716 1292.9515 6.059913 2000-2012 –> 2013-2019 1.6516901 3481.1901
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8492568 1262.0116 6.971050 2000-2012 –> 2013-2019 1.6225461 3450.9696
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8778689 1294.9484 6.059947 2000-2012 –> 2013-2019 1.6419727 3461.5366
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.8803306 1297.7319 5.989721 2000-2012 –> 2013-2019 1.6485390 3474.3491
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8812870 1298.8112 6.030679 2000-2012 –> 2013-2019 1.6479466 3471.6506
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.5531775 2560.7353 2.247783 1982-1999 –> 2000-2012 1.0936272 6149.0806
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.5735292 2672.0157 1.995751 1982-1999 –> 2000-2012 1.0932004 6085.9758
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.5471615 2527.0561 2.040783 1982-1999 –> 2000-2012 1.0648603 5924.1022
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.5816010 2713.0610 2.059205 1982-1999 –> 2000-2012 1.1102087 6200.8612
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.5815984 2715.0475 2.055947 1982-1999 –> 2000-2012 1.1075765 6182.6649
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.5814763 2714.4005 2.081606 1982-1999 –> 2000-2012 1.1063265 6172.4699
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.5693363 2649.4158 2.047829 1982-1999 –> 2000-2012 1.0976310 6136.5816
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.3447362 1104.2051 1.681506 1982-1999 –> 2000-2012 0.7503579 3416.0603
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.5612894 2605.5733 2.311543 1982-1999 –> 2000-2012 1.1118075 6276.0206
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5576121 2585.3284 2.314250 1982-1999 –> 2000-2012 1.1076613 6251.9858
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.7377046 1839.9223 4.453066 2000-2012 –> 2013-2019 1.3112338 4511.9380
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.7431790 1850.0329 4.262643 2000-2012 –> 2013-2019 1.3371546 4627.9389
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.7644207 1898.1939 4.832071 2000-2012 –> 2013-2019 1.3352942 4555.9148
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.7372762 1838.9708 4.731734 2000-2012 –> 2013-2019 1.2844377 4366.0269
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.7638188 1894.9037 5.281723 2000-2012 –> 2013-2019 1.3454198 4607.9647
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.7440089 1853.8609 4.415910 2000-2012 –> 2013-2019 1.3256073 4568.9084
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7409497 1847.1121 4.370070 2000-2012 –> 2013-2019 1.3224260 4561.5126
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.7570242 1882.2675 4.592474 2000-2012 –> 2013-2019 1.3263604 4531.6833
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.7504528 1867.9868 4.442750 2000-2012 –> 2013-2019 1.3384504 4616.7377
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.6693303 1680.6011 8.052277 2000-2012 –> 2013-2019 1.0140665 2784.8062
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 0.3492775 1988.9312 1.996120 1982-1999 –> 2000-2012 0.6514829 3650.7698
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.3469830 1955.4330 2.125336 1982-1999 –> 2000-2012 0.6488837 3611.7830
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.3540505 2062.0339 1.937681 1982-1999 –> 2000-2012 0.6560011 3717.6111
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.3242828 1591.0173 2.115462 1982-1999 –> 2000-2012 0.6239944 3193.3546
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.3463114 1944.9979 1.900529 1982-1999 –> 2000-2012 0.6453988 3531.8596
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.3592615 2140.7296 1.976601 1982-1999 –> 2000-2012 0.6633222 3847.9927
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.3471287 1957.6942 2.120895 1982-1999 –> 2000-2012 0.6488928 3610.6857
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3473235 1960.7157 2.119236 1982-1999 –> 2000-2012 0.6492687 3618.1601
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.3584097 2129.9437 2.006883 1982-1999 –> 2000-2012 0.6622526 3833.8894
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.3457583 1936.3893 2.124533 1982-1999 –> 2000-2012 0.6437290 3495.4877
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 0.3868691 1473.3053 2.525540 2000-2012 –> 2013-2019 0.7361466 3462.2365
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.3797467 1417.4419 2.705317 2000-2012 –> 2013-2019 0.7267298 3372.8749
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.3991609 1570.7062 2.411345 2000-2012 –> 2013-2019 0.7532114 3632.7401
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.4110188 1661.8663 2.465092 2000-2012 –> 2013-2019 0.7698225 3795.7273
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.3502557 1165.7023 2.704232 2000-2012 –> 2013-2019 0.6745385 2756.7196
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.3901368 1501.4981 2.457959 2000-2012 –> 2013-2019 0.7364483 3446.4960
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.3800118 1419.6148 2.702494 2000-2012 –> 2013-2019 0.7271406 3377.3089
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3803071 1422.0335 2.702200 2000-2012 –> 2013-2019 0.7276306 3382.7492
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.4078439 1639.7187 2.585072 2000-2012 –> 2013-2019 0.7662535 3769.6624
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.3788592 1410.1550 2.700717 2000-2012 –> 2013-2019 0.7246175 3346.5443
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5.9081446 33807.1795 33.261331 1982-1999 –> 2000-2012 12.1256599 80522.5792
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.2360939 34376.5179 29.968567 1982-1999 –> 2000-2012 12.7656352 81794.3473
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.6716991 81612.6324
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 6.0145280 33995.9192 33.811166 1982-1999 –> 2000-2012 12.3312392 80939.0253
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6.0656694 34085.4664 34.021650 1982-1999 –> 2000-2012 12.4290401 81134.4469
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.3644017 34591.9111 30.317607 1982-1999 –> 2000-2012 13.0125644 82268.7437
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6.2323348 34372.1408 29.869481 1982-1999 –> 2000-2012 12.7604050 81788.7288
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.3160008 34513.1739 29.849776 1982-1999 –> 2000-2012 12.9032362 82059.5576
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.3788089 34617.8251 29.965279 1982-1999 –> 2000-2012 13.0190766 82279.5635
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6.0863610 34121.4827 34.020695 1982-1999 –> 2000-2012 12.4717454 81220.1444
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5.6382388 17746.4099 27.667683 2000-2012 –> 2013-2019 11.5463834 51553.5894
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.9520247 18049.4373 24.894024 2000-2012 –> 2013-2019 12.1881186 52425.9552
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.0707203 52285.7513
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5.7297950 17837.1302 28.456699 2000-2012 –> 2013-2019 11.7443230 51833.0493
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.7800044 17886.2676 29.028201 2000-2012 –> 2013-2019 11.8456737 51971.7340
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.9502121 18049.7219 24.771202 2000-2012 –> 2013-2019 12.1825468 52421.8627
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.9876308 18085.0286 24.907000 2000-2012 –> 2013-2019 12.3036316 52598.2025
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5.7921918 17898.1305 28.600115 2000-2012 –> 2013-2019 11.8785528 52019.6131
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.9297425 18028.3137 27.542353 2000-2012 –> 2013-2019 12.3132039 52651.8497
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.9257831 18026.5518 27.359693 2000-2012 –> 2013-2019 12.3060994 52646.8759
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7575940 32928.4208 48.010441 1982-1999 –> 2000-2012 9.2356453 77951.6039
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5360650 32401.5327 43.772780 1982-1999 –> 2000-2012 8.7824377 76605.3494
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.8200707 33072.5849 52.205037 1982-1999 –> 2000-2012 9.2469170 77918.3835
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.8628318 33170.1823 52.418978 1982-1999 –> 2000-2012 9.3128391 78096.4681
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5877220 32526.6595 39.934460 1982-1999 –> 2000-2012 8.8818706 76903.0425
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6579284 32694.4781 38.557719 1982-1999 –> 2000-2012 9.0054183 77261.2754
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6658266 32713.1992 39.207721 1982-1999 –> 2000-2012 9.0244249 77319.3567
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.7292783 32862.4581 47.412368 1982-1999 –> 2000-2012 9.1428442 77661.9159
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.7555301 32923.6260 49.041150 1982-1999 –> 2000-2012 9.1671720 77716.3587
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.7637711 32942.7584 51.203206 1982-1999 –> 2000-2012 9.1789275 77747.7736
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.5881541 17185.9417 50.798645 2000-2012 –> 2013-2019 9.3457481 50114.3625
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4724496 17036.8813 46.310491 2000-2012 –> 2013-2019 9.0085146 49438.4140
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.7212174 17352.7865 54.105676 2000-2012 –> 2013-2019 9.5412882 50425.3714
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5594237 17149.2824 39.840874 2000-2012 –> 2013-2019 9.1471456 49675.9420
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6381187 17249.1516 36.657339 2000-2012 –> 2013-2019 9.2960471 49943.6297
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.6824845 17304.7104 36.962646 2000-2012 –> 2013-2019 9.5754407 50543.1344
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6426236 17254.8173 36.476302 2000-2012 –> 2013-2019 9.3084502 49968.0165
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.5489045 17135.8025 48.107779 2000-2012 –> 2013-2019 9.2781828 49998.2607
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.5715543 17164.7889 45.715284 2000-2012 –> 2013-2019 9.3270844 50088.4149
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.5779873 17172.9954 45.249093 2000-2012 –> 2013-2019 9.3417584 50115.7538
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.8913517 25257.6932 27.853242 1982-1999 –> 2000-2012 7.7641398 60143.8499
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.9266514 25339.7617 26.472095 1982-1999 –> 2000-2012 7.7219783 59971.8309
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9265162 25339.4488 20.226531 1982-1999 –> 2000-2012 7.6839109 59845.1956
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.9690317 25437.3229 27.777704 1982-1999 –> 2000-2012 7.8080369 60213.2957
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.0209885 25555.5176 28.598406 1982-1999 –> 2000-2012 7.9073574 60485.6979
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0407862 25600.1536 20.538812 1982-1999 –> 2000-2012 7.8931648 60419.8596
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.0193476 25551.8084 28.313853 1982-1999 –> 2000-2012 7.9075411 60487.8912
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.9296720 25346.7499 27.085865 1982-1999 –> 2000-2012 7.8142638 60271.1781
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.9535838 25401.8824 28.364134 1982-1999 –> 2000-2012 7.8828091 60469.9835
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9477481 25388.4579 23.151958 1982-1999 –> 2000-2012 7.8249401 60288.9073
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.3286710 14127.2704 31.590767 2000-2012 –> 2013-2019 8.3395286 39657.8620
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.2585434 14049.3348 30.985390 2000-2012 –> 2013-2019 8.1851948 39389.0965
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.2938981 14089.7973 24.434470 2000-2012 –> 2013-2019 8.2204143 39429.2462
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.3013059 14098.2332 32.116974 2000-2012 –> 2013-2019 8.2703377 39535.5561
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.2783866 14072.0860 34.710261 2000-2012 –> 2013-2019 8.2080586 39418.8360
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.3165997 14115.6036 30.418179 2000-2012 –> 2013-2019 8.3097998 39608.0975
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.2621159 14053.4387 31.613974 2000-2012 –> 2013-2019 8.2156997 39455.3210
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.2923135 14087.9909 22.815590 2000-2012 –> 2013-2019 8.2400615 39476.4489
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.3205048 14120.0290 31.479242 2000-2012 –> 2013-2019 8.3423820 39677.5550
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.4461238 31182.6795 21.544599 1982-1999 –> 2000-2012 8.3869787 73222.7235
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.3860284 31038.9594 20.143089 1982-1999 –> 2000-2012 8.2846331 72918.6507
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.2395987 30675.3639 23.246791 1982-1999 –> 2000-2012 7.8884333 71557.7865
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3077986 30844.2463 21.980567 1982-1999 –> 2000-2012 7.9956057 71884.6902
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.2906105 30803.4359 21.052395 1982-1999 –> 2000-2012 7.9645082 71788.9629
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.4804315 31266.9886 23.528787 1982-1999 –> 2000-2012 8.3787228 73145.4692
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.1643941 30483.7138 22.734855 1982-1999 –> 2000-2012 7.7513405 71108.4774
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.1734420 30506.9538 22.914051 1982-1999 –> 2000-2012 7.8375806 71452.4177
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.2057274 30587.4712 23.104196 1982-1999 –> 2000-2012 7.8859232 71596.7963
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.1702723 30498.8181 21.453131 1982-1999 –> 2000-2012 7.8227361 71396.2141
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.7973577 17145.4539 21.705143 2000-2012 –> 2013-2019 9.2434815 48328.1334
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7432090 17082.3425 20.342378 2000-2012 –> 2013-2019 9.1292375 48121.3019
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.5834202 16885.7787 21.941741 2000-2012 –> 2013-2019 8.8230189 47561.1426
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.6612052 16980.3073 20.095371 2000-2012 –> 2013-2019 8.9690038 47824.5536
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.6499950 16968.4956 19.282213 2000-2012 –> 2013-2019 8.9406055 47771.9315
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.8368720 17194.5060 22.935453 2000-2012 –> 2013-2019 9.3173034 48461.4946
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.5360260 16826.1577 17.606576 2000-2012 –> 2013-2019 8.7004201 47309.8716
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.5371637 16827.5961 18.186152 2000-2012 –> 2013-2019 8.7106057 47334.5499
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.7831284 47463.7121
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5537010 16848.4650 17.066955 2000-2012 –> 2013-2019 8.7239733 47347.2831
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.9057692 35982.9778 48.713871 1982-1999 –> 2000-2012 7.0697021 81432.4909
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.3554983 37392.3626 65.794302 1982-1999 –> 2000-2012 7.7812667 84247.1344
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3929768 37503.1646 41.945012 1982-1999 –> 2000-2012 7.9587117 85065.6810
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.2956539 37213.4453 48.286060 1982-1999 –> 2000-2012 7.8087443 84513.0773
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.2296282 37013.1327 54.406272 1982-1999 –> 2000-2012 7.6787611 83988.0356
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.0268865 36377.9050 48.755703 1982-1999 –> 2000-2012 7.2867928 82355.5633
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1535561 36778.4265 49.359080 1982-1999 –> 2000-2012 7.5202091 83325.5519
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.3599345 37403.5276 46.003290 1982-1999 –> 2000-2012 7.9680032 85172.6402
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9500266 36128.6900 31.512269 1982-1999 –> 2000-2012 7.2528573 82337.5496
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.1253304 36690.2467 48.506869 1982-1999 –> 2000-2012 7.4805153 83177.0650
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7284767 20643.4390 37.054814 2000-2012 –> 2013-2019 8.6342459 56626.4168
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.9830367 21007.3475 27.071879 2000-2012 –> 2013-2019 9.3334653 58384.6488
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.0789520 21139.6617 33.597697 2000-2012 –> 2013-2019 9.4719288 58642.8263
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.0651721 21120.8069 42.030410 2000-2012 –> 2013-2019 9.3608260 58334.2522
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 5.1142281 21187.6972 42.108737 2000-2012 –> 2013-2019 9.3438563 58200.8298
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.8388654 20803.5946 35.817177 2000-2012 –> 2013-2019 8.8657519 57181.4995
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.9716940 20991.5322 35.708885 2000-2012 –> 2013-2019 9.1252501 57769.9588
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 5.1322261 21210.0776 39.784583 2000-2012 –> 2013-2019 9.4921606 58613.6052
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.4223646 56385.6280
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.9160028 20913.3540 34.970533 2000-2012 –> 2013-2019 9.0413332 57603.6007
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate 3.6227030 31657.8230 34.491357 1982-1999 –> 2000-2012 6.6939806 71777.4746
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.5830901 31531.2492 32.454766 1982-1999 –> 2000-2012 6.6297107 71525.6717
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.4547220 31104.6102 30.937998 1982-1999 –> 2000-2012 6.4103930 70620.6620
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4261572 31007.5182 32.305003 1982-1999 –> 2000-2012 6.3475428 70339.4077
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.4222130 30994.0484 31.732058 1982-1999 –> 2000-2012 6.3354476 70281.8372
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6349919 31699.4240 32.897992 1982-1999 –> 2000-2012 6.6737213 71652.9104
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6434273 31726.5299 33.075508 1982-1999 –> 2000-2012 6.6965461 71754.5823
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.5979957 31579.7952 32.877171 1982-1999 –> 2000-2012 6.6519583 71612.2093
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3461863 30731.3292 33.390589 1982-1999 –> 2000-2012 6.2704796 70078.9213
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.6204935 31652.6884 33.074778 1982-1999 –> 2000-2012 6.6947648 71789.7182
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate 4.2427270 17924.3614 33.367400 2000-2012 –> 2013-2019 7.8654301 49582.1844
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1827766 17837.3609 30.427009 2000-2012 –> 2013-2019 7.7658666 49368.6101
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.0139968 17579.7723 29.726264 2000-2012 –> 2013-2019 7.4687188 48684.3824
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.9776245 17522.8442 31.036835 2000-2012 –> 2013-2019 7.4037817 48530.3624
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.9789503 17524.9283 30.123196 2000-2012 –> 2013-2019 7.4011633 48518.9767
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2298938 17907.4158 32.750414 2000-2012 –> 2013-2019 7.8648856 49606.8398
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4.0652536 17659.1273 34.878738 2000-2012 –> 2013-2019 7.6535356 49207.3087
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.2035697 17868.3735 30.955479 2000-2012 –> 2013-2019 7.8015654 49448.1686
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.1899105 48040.0175
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.2264297 17902.2919 31.188098 2000-2012 –> 2013-2019 7.8469231 49554.9803
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.2683124 30398.6938 24.119856 1982-1999 –> 2000-2012 5.5822735 67013.2424
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2280103 30253.8699 9.417658 1982-1999 –> 2000-2012 5.5715676 67074.4342
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.3807244 30791.3972 22.456992 1982-1999 –> 2000-2012 5.7423173 67734.2326
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.2980912 30504.5604 26.307453 1982-1999 –> 2000-2012 5.6183359 67163.0675
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.1915247 30121.1923 10.602973 1982-1999 –> 2000-2012 5.7300492 68237.1463
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1735450 30055.2512 8.689085 1982-1999 –> 2000-2012 5.4890819 66680.8347
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.1804225 30080.5185 8.700790 1982-1999 –> 2000-2012 5.5093045 66799.2566
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.1294481 29891.9296 12.455483 1982-1999 –> 2000-2012 5.4998999 66897.4594
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.1824417 30085.9266 11.982022 1982-1999 –> 2000-2012 5.5582386 67125.9669
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1698959 30041.8225 8.686571 1982-1999 –> 2000-2012 5.4929254 66719.7736
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.9417327 17337.7899 25.386634 2000-2012 –> 2013-2019 7.2100451 47736.4837
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7804110 17078.3721 11.020697 2000-2012 –> 2013-2019 7.0084214 47332.2420
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4.0075075 17440.5265 28.440018 2000-2012 –> 2013-2019 7.3055987 47945.0868
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.6736333 16900.5032 10.209719 2000-2012 –> 2013-2019 6.8651581 47021.6955
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.7197021 16975.8697 10.325293 2000-2012 –> 2013-2019 6.9432174 47211.4751
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7040372 16951.6707 10.351471 2000-2012 –> 2013-2019 6.8775822 47006.9218
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7079082 16958.1551 10.354380 2000-2012 –> 2013-2019 6.8883307 47038.6736
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.7023122 16948.7788 17.138991 2000-2012 –> 2013-2019 6.8317603 46840.7084
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.7970417 17103.6222 16.783216 2000-2012 –> 2013-2019 6.9794834 47189.5487
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6928602 16932.9096 10.332716 2000-2012 –> 2013-2019 6.8627561 46974.7321
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.7212475 11228.4142 21.917997 1982-1999 –> 2000-2012 4.6418941 24214.7759
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.7304690 11242.0909 21.046900 1982-1999 –> 2000-2012 4.6623579 24262.9999
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7290365 11241.6591 21.325228 1982-1999 –> 2000-2012 4.6507603 24231.5321
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7364990 11254.3133 24.038402 1982-1999 –> 2000-2012 4.6592663 24247.5857
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7379203 11256.7195 21.095496 1982-1999 –> 2000-2012 4.6714212 24284.8516
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7345748 11251.0538 20.898422 1982-1999 –> 2000-2012 4.6747747 24300.8441
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.7312774 11245.4627 21.597290 1982-1999 –> 2000-2012 4.6633541 24268.9802
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.7271269 11238.4154 21.453348 1982-1999 –> 2000-2012 4.6635446 24275.9866
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.6406178 11089.0349 20.968772 1982-1999 –> 2000-2012 4.5482001 24032.6569
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.7269514 11238.1171 21.350081 1982-1999 –> 2000-2012 4.6654113 24282.2891
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.1715991 6518.9850 31.495482 2000-2012 –> 2013-2019 5.8928466 17747.3991
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.1499466 6501.6671 31.458612 2000-2012 –> 2013-2019 5.8945181 17769.6304
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.1358059 6490.2930 31.989646 2000-2012 –> 2013-2019 5.8629052 17728.6613
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.1390093 6492.8741 31.279189 2000-2012 –> 2013-2019 5.8653527 17729.9579
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.1488202 6498.7630 29.448400 2000-2012 –> 2013-2019 5.8762396 17735.6753
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0327595 6405.8242 34.844332 2000-2012 –> 2013-2019 5.7692585 17660.1374
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.1487768 6500.7281 29.551108 2000-2012 –> 2013-2019 5.8739654 17735.8488
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.1085536 6468.2269 32.890347 2000-2012 –> 2013-2019 5.8435245 17719.9518
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.1128492 6469.7178 31.766441 2000-2012 –> 2013-2019 5.8536894 17729.3767
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0665742 6433.8549 28.861392 2000-2012 –> 2013-2019 5.7071919 17522.8898
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2.7391027 14120.0717 28.616999 1982-1999 –> 2000-2012 4.8514758 31509.4110
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.7369084 14117.4123 28.359649 1982-1999 –> 2000-2012 4.8476476 31502.5456
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.7387015 14121.2200 28.728209 1982-1999 –> 2000-2012 4.8508407 31511.6713
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.7464377 14137.6201 28.678001 1982-1999 –> 2000-2012 4.8641616 31549.2489
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.7459052 14136.4927 28.587098 1982-1999 –> 2000-2012 4.8660234 31557.1840
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate 2.7478439 14138.5961 28.465495 1982-1999 –> 2000-2012 4.8664105 31551.4157
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.7026569 14044.1928 28.417644 1982-1999 –> 2000-2012 4.8043308 31394.8076
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.7448988 14134.3614 28.185033 1982-1999 –> 2000-2012 4.8625461 31545.7003
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.7457460 14136.1557 28.208152 1982-1999 –> 2000-2012 4.8664196 31558.9474
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.7445406 14133.6026 28.109511 1982-1999 –> 2000-2012 4.8649180 31555.2745
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.3028283 8072.7054 32.389813 2000-2012 –> 2013-2019 6.0419310 22192.7771
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.2823201 8055.4962 31.823285 2000-2012 –> 2013-2019 6.0192285 22172.9085
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.2955181 8067.8720 32.895254 2000-2012 –> 2013-2019 6.0342196 22189.0919
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.2978683 8070.0705 32.004378 2000-2012 –> 2013-2019 6.0457481 22210.7427
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.3028408 8074.7171 32.542471 2000-2012 –> 2013-2019 6.0487460 22211.2098
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.1767686 7954.6926 31.850384 2000-2012 –> 2013-2019 5.8794254 21998.8853
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.2971709 8069.4182 31.533669 2000-2012 –> 2013-2019 6.0420696 22203.7796
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.2946985 8067.1049 31.554855 2000-2012 –> 2013-2019 6.0404446 22203.2606
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2637446 8037.9935 37.426960 2000-2012 –> 2013-2019 6.0494318 22258.1136
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.2939987 8066.4498 31.381712 2000-2012 –> 2013-2019 6.0385393 22200.0524
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2115502 10931.1275 8.468880 1982-1999 –> 2000-2012 4.1022689 25513.2034
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.1856536 10873.0109 7.438055 1982-1999 –> 2000-2012 4.1622224 25769.7435
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.1868435 10875.6962 8.583791 1982-1999 –> 2000-2012 4.0752629 25449.1497
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2194485 10948.7174 8.518833 1982-1999 –> 2000-2012 4.1159015 25552.2518
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2200573 10950.0706 8.511640 1982-1999 –> 2000-2012 4.1179944 25559.1480
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.1855997 10872.8892 7.443291 1982-1999 –> 2000-2012 4.1622164 25769.7936
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.2177921 10945.0336 8.776951 1982-1999 –> 2000-2012 4.1134423 25545.5679
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2201767 10950.3359 8.520844 1982-1999 –> 2000-2012 4.1180377 25559.1292
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 2.2207729 10949.6606 8.612052 1982-1999 –> 2000-2012 4.1190699 25558.0817
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.1886299 10879.7253 7.878228 1982-1999 –> 2000-2012 4.0642895 25405.1370
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.3937485 6220.1919 8.306747 2000-2012 –> 2013-2019 4.5799110 17094.3514
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 2.4060015 6232.0181 8.104133 2000-2012 –> 2013-2019 4.6173063 17160.5981
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.4007452 6228.0956 8.259744 2000-2012 –> 2013-2019 4.5943605 17119.0470
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.3949270 6221.5248 8.259385 2000-2012 –> 2013-2019 4.5805806 17094.5357
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.3941382 6220.6327 8.284045 2000-2012 –> 2013-2019 4.5799766 17094.0607
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.4833521 6319.7076 8.863057 2000-2012 –> 2013-2019 4.6701956 17195.4038
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate 2.3989137 6224.0289 7.921483 2000-2012 –> 2013-2019 4.6236462 17182.4790
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.3949943 6221.6009 8.251733 2000-2012 –> 2013-2019 4.5805940 17094.4901
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2.3891259 6214.9574 8.045546 2000-2012 –> 2013-2019 4.5812165 17102.4783
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.4266912 6257.2052 8.523746 2000-2012 –> 2013-2019 4.6153211 17136.9304
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.8463208 6996.4105 10.225349 1982-1999 –> 2000-2012 3.4405196 16640.5731
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8450332 6994.0133 9.467590 1982-1999 –> 2000-2012 3.4414783 16645.3685
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8511670 7005.4174 9.474435 1982-1999 –> 2000-2012 3.4501316 16664.8274
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8524675 7007.8305 9.472903 1982-1999 –> 2000-2012 3.4530954 16672.5512
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8567455 7015.7563 9.427843 1982-1999 –> 2000-2012 3.4637142 16700.6720
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8521019 7007.1522 9.467448 1982-1999 –> 2000-2012 3.4524360 16670.9355
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.8576083 7017.3526 10.254032 1982-1999 –> 2000-2012 3.4609842 16690.8353
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.8612616 7024.1034 10.244079 1982-1999 –> 2000-2012 3.4707315 16716.9636
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.8032691 6915.3424 9.697645 1982-1999 –> 2000-2012 3.4298781 16662.3098
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.8584907 7018.9844 10.244915 1982-1999 –> 2000-2012 3.4634280 16697.4390
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.0709715 4161.9197 10.526175 2000-2012 –> 2013-2019 3.9172924 11158.3302
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0390556 4131.9137 9.747515 2000-2012 –> 2013-2019 3.8840888 11125.9270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.0456515 4138.1531 9.661353 2000-2012 –> 2013-2019 3.9261877 11197.6557
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0453970 4137.9128 9.764284 2000-2012 –> 2013-2019 3.8965640 11143.3302
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0456543 4138.1559 9.760669 2000-2012 –> 2013-2019 3.8981218 11145.9864
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2.0483772 4140.7257 9.785200 2000-2012 –> 2013-2019 3.9169687 11178.3340
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0462976 4138.7633 9.594209 2000-2012 –> 2013-2019 3.9030431 11154.5196
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0451030 4137.6351 9.755580 2000-2012 –> 2013-2019 3.8972049 11144.7873
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 2.0655686 4154.8728 9.967760 2000-2012 –> 2013-2019 3.9297216 11182.3096
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.8033978 11010.0164
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.3445893 50185.4032 13.266137 1982-1999 –> 2000-2012 2.4490842 111949.7485
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.2494600 48038.8292 11.951281 1982-1999 –> 2000-2012 2.3095030 108132.5045
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.3133686 49498.1312 9.366747 1982-1999 –> 2000-2012 2.4634246 112906.4588
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3376755 50034.5935 16.199862 1982-1999 –> 2000-2012 2.5064341 114098.9931
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3331929 49936.3988 16.466261 1982-1999 –> 2000-2012 2.4904010 113596.8674
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3376755 50034.5945 16.199920 1982-1999 –> 2000-2012 2.5064212 114098.5423
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3376891 50032.8912 16.220724 1982-1999 –> 2000-2012 2.5073460 114126.5367
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.3529440 50366.6138 13.068005 1982-1999 –> 2000-2012 2.4639859 112371.3228
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.3692488 50717.0570 13.004762 1982-1999 –> 2000-2012 2.4951048 113260.4541
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.3591254 50499.9672 12.907049 1982-1999 –> 2000-2012 2.4770940 112757.4410
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.5608153 29109.6035 11.237085 2000-2012 –> 2013-2019 2.9054045 79295.0066
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.4123708 27549.7620 9.529089 2000-2012 –> 2013-2019 2.6618308 75588.5913
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4923380 28409.3615 12.644005 2000-2012 –> 2013-2019 2.8302151 78448.3652
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4925685 28411.7727 12.628703 2000-2012 –> 2013-2019 2.8303164 78447.9491
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4928857 28415.0892 12.611716 2000-2012 –> 2013-2019 2.8305612 78449.6827
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.4959833 28447.4412 13.045112 2000-2012 –> 2013-2019 2.8291763 78383.8400
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4928764 28414.9925 12.611567 2000-2012 –> 2013-2019 2.8305520 78449.5870
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.4961291 28446.9616 12.985788 2000-2012 –> 2013-2019 2.8338182 78479.8528
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.5700546 29201.7234 11.045333 2000-2012 –> 2013-2019 2.9229986 79568.3372

5.3 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.4 Cant coeffcients

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

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

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

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

5.5 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

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

6.1.1 All models

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

Version Author Date
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
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
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
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 phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 9 4 8 7 10 3 7
(26,26.5] 8 6 6 6 10 5 8
(26.5,26.75] 9 4 8 7 5 10 6
(26.75,27] 9 3 8 7 4 10 7
(27,27.25] 8 5 8 6 6 10 6
(27.25,27.5] 9 8 6 5 5 10 6
(27.5,27.75] 6 5 7 7 10 7 7
(27.75,27.85] 8 7 8 6 10 4 6
(27.85,27.95] 10 4 10 10 4 4 4
(27.95,28.05] 6 10 8 6 5 8 6
(28.05,28.1] 8 5 9 8 8 4 8
(28.1,28.15] 8 5 8 8 8 5 8
(28.15,28.2] 10 10 5 6 6 5 7
(28.2, Inf] 9 10 5 5 10 3 5
total 117.00 86.00 104.00 94.00 101.00 88.00 91.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 5 7 7 10 5 8
(26,26.5] 8 6 6 6 10 5 8
(26.5,26.75] 9 4 8 6 6 10 6
(26.75,27] 9 3 9 6 6 10 5
(27,27.25] 8 4 6 7 9 10 4
(27.25,27.5] 9 10 4 5 4 10 5
(27.5,27.75] 7 4 7 6 10 8 6
(27.75,27.85] 7 6 8 6 10 6 6
(27.85,27.95] 10 4 9 8 7 3 7
(27.95,28.05] 6 10 8 7 5 7 7
(28.05,28.1] 7 5 7 8 10 5 8
(28.1,28.15] 8 4 9 7 10 3 7
(28.15,28.2] 9 10 5 6 9 3 6
(28.2, Inf] 9 10 5 5 10 4 4
total 114.00 85.00 98.00 90.00 116.00 89.00 87.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 9 4 8 7 10 3 7
(26,26.5] 8 6 7 7 6 8 8
(26.5,26.75] 8 7 8 7 7 6 7
(26.75,27] 10 5 10 9 5 3 5
(27,27.25] 9 6 9 9 3 6 7
(27.25,27.5] 7 7 9 6 5 10 5
(27.5,27.75] 6 4 6 6 10 10 6
(27.75,27.85] 9 4 8 8 4 9 7
(27.85,27.95] 8 10 9 7 3 4 7
(27.95,28.05] 6 4 6 7 9 8 9
(28.05,28.1] 7 5 7 8 5 10 8
(28.1, Inf] 5 7 6 8 6 10 7
total 92.00 69.00 93.00 89.00 73.00 87.00 83.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 6 7 8 10 3 7
(26,26.5] 7 6 7 7 6 9 8
(26.5,26.75] 8 8 9 8 4 6 6
(26.75,27] 10 5 10 9 5 3 5
(27,27.25] 9 6 9 8 3 7 7
(27.25,27.5] 7 8 9 5 5 10 5
(27.5,27.75] 6 4 6 5 10 10 7
(27.75,27.85] 7 7 7 9 6 7 5
(27.85,27.95] 8 9 8 8 3 6 7
(27.95,28.05] 7 9 6 6 9 4 7
(28.05,28.1] 6 4 6 7 8 10 8
(28.1, Inf] 6 5 7 7 8 10 6
total 88.00 77.00 91.00 87.00 77.00 85.00 78.00

6.4 RMSE alternatives

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

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

Version Author Date
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
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