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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 112

4 Fit all models

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

  • cstar_tref

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

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

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

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


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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + phosphate 1.0669064 510.5238 4.506279 1982-1999 –> 2000-2012 2.398590 1286.5351
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + phosphate_star 1.0669064 510.5238 4.506279 1982-1999 –> 2000-2012 2.398590 1286.5351
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.0650698 511.9449 4.426016 1982-1999 –> 2000-2012 2.396751 1289.9554
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.0650698 511.9449 4.426016 1982-1999 –> 2000-2012 2.396751 1289.9554
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.0669064 510.5238 4.506279 1982-1999 –> 2000-2012 2.398590 1286.5351
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0650698 511.9449 4.426016 1982-1999 –> 2000-2012 2.396751 1289.9554
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.0646493 511.8122 4.234683 1982-1999 –> 2000-2012 2.396240 1289.7923
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.0646493 511.8122 4.234683 1982-1999 –> 2000-2012 2.396240 1289.7923
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0646493 511.8122 4.234683 1982-1999 –> 2000-2012 2.396240 1289.7923
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0694684 513.3297 4.624413 1982-1999 –> 2000-2012 2.402455 1291.7791
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1819575 261.4332 3.306338 2000-2012 –> 2013-2019 2.247027 773.3781
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1819575 261.4332 3.306338 2000-2012 –> 2013-2019 2.247027 773.3781
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1819575 261.4332 3.306338 2000-2012 –> 2013-2019 2.247027 773.3781
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.2437146 269.3784 3.455189 2000-2012 –> 2013-2019 2.308364 781.1906
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2437146 269.3784 3.455189 2000-2012 –> 2013-2019 2.308364 781.1906
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1901456 262.5102 3.453009 2000-2012 –> 2013-2019 2.259614 775.8399
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1931661 262.9056 3.497480 2000-2012 –> 2013-2019 2.263968 776.6539
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1950624 263.1534 3.519214 2000-2012 –> 2013-2019 2.267241 777.3333
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.1950624 263.1534 3.519214 2000-2012 –> 2013-2019 2.267241 777.3333
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1950624 263.1534 3.519214 2000-2012 –> 2013-2019 2.267241 777.3333
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.5385329 6108.9825 13.458633 1982-1999 –> 2000-2012 6.981740 14959.9600
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.5385329 6108.9825 13.458633 1982-1999 –> 2000-2012 6.981740 14959.9600
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5385329 6108.9825 13.458633 1982-1999 –> 2000-2012 6.981740 14959.9600
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + oxygen + silicate 3.9873374 6380.2854 17.920484 1982-1999 –> 2000-2012 7.979072 15723.2164
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6004284 6148.3804 14.160333 1982-1999 –> 2000-2012 7.139206 15090.4719
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6081889 6153.2723 14.267590 1982-1999 –> 2000-2012 7.158811 15106.4841
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.6096349 6154.1826 14.304181 1982-1999 –> 2000-2012 7.164981 15111.8195
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.6096349 6154.1826 14.304181 1982-1999 –> 2000-2012 7.164981 15111.8195
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6096349 6154.1826 14.304181 1982-1999 –> 2000-2012 7.164981 15111.8195
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6702662 6190.0286 16.261179 1982-1999 –> 2000-2012 7.510809 15402.4587
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.6126461 3355.3765 10.821609 2000-2012 –> 2013-2019 7.151179 9464.3590
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.6126461 3355.3765 10.821609 2000-2012 –> 2013-2019 7.151179 9464.3590
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6126461 3355.3765 10.821609 2000-2012 –> 2013-2019 7.151179 9464.3590
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6537066 3369.3453 10.309180 2000-2012 –> 2013-2019 7.254135 9517.7258
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6588360 3371.0793 10.317504 2000-2012 –> 2013-2019 7.267025 9524.3516
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.6584854 3370.9609 10.318851 2000-2012 –> 2013-2019 7.268120 9525.1435
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.6584854 3370.9609 10.318851 2000-2012 –> 2013-2019 7.268120 9525.1435
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate 3.8397846 3428.7425 11.206273 2000-2012 –> 2013-2019 7.819672 9802.7788
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6584854 3370.9609 10.318851 2000-2012 –> 2013-2019 7.268120 9525.1435
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6645903 3371.0217 10.287116 2000-2012 –> 2013-2019 7.334856 9561.0503
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.2815350 8148.6194 10.449681 1982-1999 –> 2000-2012 6.407345 18965.1643
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.2815350 8148.6194 10.449681 1982-1999 –> 2000-2012 6.407345 18965.1643
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2815350 8148.6194 10.449681 1982-1999 –> 2000-2012 6.407345 18965.1643
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2947613 8161.1695 10.455973 1982-1999 –> 2000-2012 6.444508 19009.9221
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3103382 8175.8853 10.510653 1982-1999 –> 2000-2012 6.482533 19054.6202
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.3145143 8179.8188 10.520585 1982-1999 –> 2000-2012 6.493642 19067.7721
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.3145143 8179.8188 10.520585 1982-1999 –> 2000-2012 6.493642 19067.7721
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.2593604 8127.4649 9.985777 1982-1999 –> 2000-2012 6.309564 18840.6336
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.2593604 8127.4649 9.985777 1982-1999 –> 2000-2012 6.309564 18840.6336
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2593604 8127.4649 9.985777 1982-1999 –> 2000-2012 6.309564 18840.6336
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.4178621 3906.4920 10.546763 2000-2012 –> 2013-2019 6.699397 12055.1115
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.4178621 3906.4920 10.546763 2000-2012 –> 2013-2019 6.699397 12055.1115
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.4178621 3906.4920 10.546763 2000-2012 –> 2013-2019 6.699397 12055.1115
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.4268245 3910.3417 10.584934 2000-2012 –> 2013-2019 6.721586 12071.5112
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.4412673 3916.5242 10.744217 2000-2012 –> 2013-2019 6.751606 12092.4095
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.4448277 3918.0443 10.794175 2000-2012 –> 2013-2019 6.759342 12097.8631
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4448277 3918.0443 10.794175 2000-2012 –> 2013-2019 6.759342 12097.8631
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.4302888 3911.8270 10.955596 2000-2012 –> 2013-2019 6.689649 12039.2918
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.4302888 3911.8270 10.955596 2000-2012 –> 2013-2019 6.689649 12039.2918
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.4302888 3911.8270 10.955596 2000-2012 –> 2013-2019 6.689649 12039.2918
Atlantic (26.75,27] cstar_tref ~ aou + oxygen + silicate + phosphate 2.1562430 11692.2135 15.705946 1982-1999 –> 2000-2012 3.857682 25361.0060
Atlantic (26.75,27] cstar_tref ~ aou + oxygen + silicate + phosphate_star 2.1562430 11692.2135 15.705946 1982-1999 –> 2000-2012 3.857682 25361.0060
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.1562430 11692.2135 15.705946 1982-1999 –> 2000-2012 3.857682 25361.0060
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.0584488 11446.3592 15.019464 1982-1999 –> 2000-2012 3.743110 25047.7630
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.0584488 11446.3592 15.019464 1982-1999 –> 2000-2012 3.743110 25047.7630
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0584488 11446.3592 15.019464 1982-1999 –> 2000-2012 3.743110 25047.7630
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1203301 11604.5250 15.079101 1982-1999 –> 2000-2012 3.878081 25503.3052
Atlantic (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.1484086 11674.7761 22.760365 1982-1999 –> 2000-2012 3.715640 24770.2584
Atlantic (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.1484086 11674.7761 22.760365 1982-1999 –> 2000-2012 3.715640 24770.2584
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.1484086 11674.7761 22.760365 1982-1999 –> 2000-2012 3.715640 24770.2584
Atlantic (26.75,27] cstar_tref ~ aou + oxygen + silicate + phosphate 2.6328416 6752.8943 26.902311 2000-2012 –> 2013-2019 4.789085 18445.1078
Atlantic (26.75,27] cstar_tref ~ aou + oxygen + silicate + phosphate_star 2.6328416 6752.8943 26.902311 2000-2012 –> 2013-2019 4.789085 18445.1078
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6328416 6752.8943 26.902311 2000-2012 –> 2013-2019 4.789085 18445.1078
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.5343371 6647.2107 25.445252 2000-2012 –> 2013-2019 4.592786 18093.5699
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.5343371 6647.2107 25.445252 2000-2012 –> 2013-2019 4.592786 18093.5699
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5343371 6647.2107 25.445252 2000-2012 –> 2013-2019 4.592786 18093.5699
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5714581 6688.2744 25.212987 2000-2012 –> 2013-2019 4.691788 18292.7994
Atlantic (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.3244729 6403.1075 22.917547 2000-2012 –> 2013-2019 4.472881 18077.8835
Atlantic (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.3244729 6403.1075 22.917547 2000-2012 –> 2013-2019 4.472881 18077.8835
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3244729 6403.1075 22.917547 2000-2012 –> 2013-2019 4.472881 18077.8835
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.9362557 9642.9858 10.006513 1982-1999 –> 2000-2012 3.591390 21432.3384
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.9362557 9642.9858 10.006513 1982-1999 –> 2000-2012 3.591390 21432.3384
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9771119 9737.6654 9.743648 1982-1999 –> 2000-2012 3.795771 22102.0078
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9362557 9642.9858 10.006513 1982-1999 –> 2000-2012 3.591390 21432.3384
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.2579994 10352.7242 10.229612 1982-1999 –> 2000-2012 4.647416 24388.6087
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9433711 9659.9692 9.780245 1982-1999 –> 2000-2012 3.578383 21374.4124
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9684366 9719.3048 9.339418 1982-1999 –> 2000-2012 3.625123 21514.3993
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.9753004 9735.4214 9.239424 1982-1999 –> 2000-2012 3.643532 21573.0454
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.9753004 9735.4214 9.239424 1982-1999 –> 2000-2012 3.643532 21573.0454
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9753004 9735.4214 9.239424 1982-1999 –> 2000-2012 3.643532 21573.0454
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.3340849 5848.1214 13.744520 2000-2012 –> 2013-2019 4.270340 15491.1072
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.3340849 5848.1214 13.744520 2000-2012 –> 2013-2019 4.270340 15491.1072
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.3351662 5847.3136 13.611619 2000-2012 –> 2013-2019 4.312278 15584.9790
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3340849 5848.1214 13.744520 2000-2012 –> 2013-2019 4.270340 15491.1072
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.4058006 5924.0180 14.914910 2000-2012 –> 2013-2019 4.663800 16276.7422
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3301867 5843.8189 13.907665 2000-2012 –> 2013-2019 4.273558 15503.7881
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3540156 5870.0075 13.884121 2000-2012 –> 2013-2019 4.322452 15589.3122
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.3578885 5874.2388 13.876581 2000-2012 –> 2013-2019 4.333189 15609.6602
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.3578885 5874.2388 13.876581 2000-2012 –> 2013-2019 4.333189 15609.6602
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3578885 5874.2388 13.876581 2000-2012 –> 2013-2019 4.333189 15609.6602
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.7833837 12212.3738 21.243153 1982-1999 –> 2000-2012 5.176119 28669.2869
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.7833837 12212.3738 21.243153 1982-1999 –> 2000-2012 5.176119 28669.2869
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 2.8584420 12343.2610 22.990288 1982-1999 –> 2000-2012 5.611871 29805.7533
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7833837 12212.3738 21.243153 1982-1999 –> 2000-2012 5.176119 28669.2869
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.8023109 12246.2184 21.814276 1982-1999 –> 2000-2012 5.246387 28855.4783
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8696680 12364.8356 22.709098 1982-1999 –> 2000-2012 5.402105 29228.9501
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.8715160 12368.0505 22.697774 1982-1999 –> 2000-2012 5.412070 29255.1283
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.8715160 12368.0505 22.697774 1982-1999 –> 2000-2012 5.412070 29255.1283
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8715160 12368.0505 22.697774 1982-1999 –> 2000-2012 5.412070 29255.1283
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 2.8875250 12393.8153 22.136811 1982-1999 –> 2000-2012 5.680969 29959.8451
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.6849392 7437.4229 23.980995 2000-2012 –> 2013-2019 6.468323 19649.7968
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.6849392 7437.4229 23.980995 2000-2012 –> 2013-2019 6.468323 19649.7968
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.7428537 7477.9330 25.719311 2000-2012 –> 2013-2019 6.601296 19821.1941
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6849392 7437.4229 23.980995 2000-2012 –> 2013-2019 6.468323 19649.7968
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7104579 7456.2358 24.789558 2000-2012 –> 2013-2019 6.512769 19702.4542
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7931930 7516.3518 25.907681 2000-2012 –> 2013-2019 6.662861 19881.1874
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.7893620 7513.5973 25.813866 2000-2012 –> 2013-2019 6.660878 19881.6478
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.7893620 7513.5973 25.813866 2000-2012 –> 2013-2019 6.660878 19881.6478
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7893620 7513.5973 25.813866 2000-2012 –> 2013-2019 6.660878 19881.6478
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.8267602 7538.3690 26.794841 2000-2012 –> 2013-2019 6.714285 19932.1843
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6166199 17917.7807 18.949567 1982-1999 –> 2000-2012 4.863364 40576.9908
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6166199 17917.7807 18.949567 1982-1999 –> 2000-2012 4.863364 40576.9908
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.6619219 18044.8615 19.625058 1982-1999 –> 2000-2012 5.138131 41690.2927
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6166199 17917.7807 18.949567 1982-1999 –> 2000-2012 4.863364 40576.9908
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6041209 17881.7733 19.658847 1982-1999 –> 2000-2012 4.799732 40307.0382
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5947071 17854.5397 22.096079 1982-1999 –> 2000-2012 4.760416 40140.4569
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.5941074 17852.8013 21.972752 1982-1999 –> 2000-2012 4.759877 40139.0013
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.5941074 17852.8013 21.972752 1982-1999 –> 2000-2012 4.759877 40139.0013
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.5941074 17852.8013 21.972752 1982-1999 –> 2000-2012 4.759877 40139.0013
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.6488317 18007.7901 24.114223 1982-1999 –> 2000-2012 4.820980 40321.8752
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.0010230 10095.6386 14.411490 2000-2012 –> 2013-2019 5.617643 28013.4193
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.0010230 10095.6386 14.411490 2000-2012 –> 2013-2019 5.617643 28013.4193
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 3.0011240 10093.7734 14.392043 2000-2012 –> 2013-2019 5.663046 28138.6349
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0010230 10095.6386 14.411490 2000-2012 –> 2013-2019 5.617643 28013.4193
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0000950 10094.4003 14.405089 2000-2012 –> 2013-2019 5.604216 27976.1735
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9648162 10047.0373 15.888668 2000-2012 –> 2013-2019 5.559523 27901.5769
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.9665985 10049.4436 15.764128 2000-2012 –> 2013-2019 5.560706 27902.2449
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.9665985 10049.4436 15.764128 2000-2012 –> 2013-2019 5.560706 27902.2449
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9665985 10049.4436 15.764128 2000-2012 –> 2013-2019 5.560706 27902.2449
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.1365845 10270.5403 18.803814 2000-2012 –> 2013-2019 5.785416 28278.3305
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.5878549 4901.6758 12.822888 1982-1999 –> 2000-2012 3.116338 11094.1297
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.5878549 4901.6758 12.822888 1982-1999 –> 2000-2012 3.116338 11094.1297
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5878549 4901.6758 12.822888 1982-1999 –> 2000-2012 3.116338 11094.1297
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.7052880 5087.0433 11.194363 1982-1999 –> 2000-2012 3.219305 11247.6217
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.7052880 5087.0433 11.194363 1982-1999 –> 2000-2012 3.219305 11247.6217
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.7052880 5087.0433 11.194363 1982-1999 –> 2000-2012 3.219305 11247.6217
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6156555 4946.7689 12.930476 1982-1999 –> 2000-2012 3.174641 11205.4577
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6610165 5018.7049 13.140037 1982-1999 –> 2000-2012 3.267324 11377.6273
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.6651339 5025.1368 13.155852 1982-1999 –> 2000-2012 3.275022 11391.5224
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6651339 5025.1368 13.155852 1982-1999 –> 2000-2012 3.275022 11391.5224
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.7304708 2595.1396 12.144692 2000-2012 –> 2013-2019 3.318326 7496.8155
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.7304708 2595.1396 12.144692 2000-2012 –> 2013-2019 3.318326 7496.8155
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7304708 2595.1396 12.144692 2000-2012 –> 2013-2019 3.318326 7496.8155
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.8588432 2689.0275 10.382841 2000-2012 –> 2013-2019 3.564131 7776.0708
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.8588432 2689.0275 10.382841 2000-2012 –> 2013-2019 3.564131 7776.0708
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7606499 2617.8234 12.187032 2000-2012 –> 2013-2019 3.376305 7564.5923
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8117847 2655.3852 12.335194 2000-2012 –> 2013-2019 3.472801 7674.0901
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.8147710 2657.5459 12.344435 2000-2012 –> 2013-2019 3.479905 7682.6828
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.8147710 2657.5459 12.344435 2000-2012 –> 2013-2019 3.479905 7682.6828
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8147710 2657.5459 12.344435 2000-2012 –> 2013-2019 3.479905 7682.6828
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3547202 6524.1639 37.769942 1982-1999 –> 2000-2012 6.419813 15221.5995
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.9405148 6197.8675 22.293581 1982-1999 –> 2000-2012 6.005591 14895.2849
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.9405148 6197.8675 22.293581 1982-1999 –> 2000-2012 6.005591 14895.2849
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.9405148 6197.8675 22.293581 1982-1999 –> 2000-2012 6.005591 14895.2849
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate 3.1164452 6339.7437 23.637863 1982-1999 –> 2000-2012 6.278048 15141.2042
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate_star 3.1164452 6339.7437 23.637863 1982-1999 –> 2000-2012 6.278048 15141.2042
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.1015239 6329.8603 23.435647 1982-1999 –> 2000-2012 6.254545 15124.0252
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.1015239 6329.8603 23.435647 1982-1999 –> 2000-2012 6.254545 15124.0252
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.1164452 6339.7437 23.637863 1982-1999 –> 2000-2012 6.278048 15141.2042
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1015239 6329.8603 23.435647 1982-1999 –> 2000-2012 6.254545 15124.0252
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.3388618 3730.3890 25.099121 2000-2012 –> 2013-2019 6.693582 10254.5529
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.3388618 3730.3890 25.099121 2000-2012 –> 2013-2019 6.693582 10254.5529
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3388618 3730.3890 25.099121 2000-2012 –> 2013-2019 6.693582 10254.5529
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.3332865 3728.0226 24.407223 2000-2012 –> 2013-2019 6.273801 9925.8900
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.3332865 3728.0226 24.407223 2000-2012 –> 2013-2019 6.273801 9925.8900
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.3332865 3728.0226 24.407223 2000-2012 –> 2013-2019 6.273801 9925.8900
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.6162841 3843.4099 23.009079 2000-2012 –> 2013-2019 6.717808 10173.2702
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.6162841 3843.4099 23.009079 2000-2012 –> 2013-2019 6.717808 10173.2702
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.6198780 3842.8164 23.176587 2000-2012 –> 2013-2019 6.736323 10182.5601
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.6162841 3843.4099 23.009079 2000-2012 –> 2013-2019 6.717808 10173.2702
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.8909023 10418.8133 26.501166 1982-1999 –> 2000-2012 8.029265 25225.2468
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.8909023 10418.8133 26.501166 1982-1999 –> 2000-2012 8.029265 25225.2468
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.8916445 10419.5277 25.815150 1982-1999 –> 2000-2012 8.027554 25222.8724
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.8916445 10419.5277 25.815150 1982-1999 –> 2000-2012 8.027554 25222.8724
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.8916445 10419.5277 25.815150 1982-1999 –> 2000-2012 8.027554 25222.8724
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.8776148 10405.9987 25.952066 1982-1999 –> 2000-2012 8.006346 25200.2924
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.8714512 10400.0396 25.669358 1982-1999 –> 2000-2012 7.993347 25185.7007
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.8739353 10402.4424 25.781312 1982-1999 –> 2000-2012 7.998219 25191.1218
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.8739353 10402.4424 25.781312 1982-1999 –> 2000-2012 7.998219 25191.1218
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.8739353 10402.4424 25.781312 1982-1999 –> 2000-2012 7.998219 25191.1218
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.7829465 5424.9013 25.453790 2000-2012 –> 2013-2019 7.673849 15843.7146
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.7829465 5424.9013 25.453790 2000-2012 –> 2013-2019 7.673849 15843.7146
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7829465 5424.9013 25.453790 2000-2012 –> 2013-2019 7.673849 15843.7146
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.7996986 5433.5970 25.677376 2000-2012 –> 2013-2019 7.691343 15853.1247
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.7996986 5433.5970 25.677376 2000-2012 –> 2013-2019 7.691343 15853.1247
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7794327 5423.0725 25.038717 2000-2012 –> 2013-2019 7.657047 15829.0712
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7782083 5422.4349 24.786112 2000-2012 –> 2013-2019 7.649660 15822.4744
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.7787244 5422.7037 24.911551 2000-2012 –> 2013-2019 7.652660 15825.1461
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.7787244 5422.7037 24.911551 2000-2012 –> 2013-2019 7.652660 15825.1461
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7787244 5422.7037 24.911551 2000-2012 –> 2013-2019 7.652660 15825.1461
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1400058 3892.0296 7.508830 1982-1999 –> 2000-2012 2.171722 8659.6599
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1400058 3892.0296 7.508830 1982-1999 –> 2000-2012 2.171722 8659.6599
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.1424109 3895.3026 7.780828 1982-1999 –> 2000-2012 2.174770 8662.9775
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1400058 3892.0296 7.508830 1982-1999 –> 2000-2012 2.171722 8659.6599
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.0888369 3777.1296 7.899696 1982-1999 –> 2000-2012 2.106724 8500.5259
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.0888369 3777.1296 7.899696 1982-1999 –> 2000-2012 2.106724 8500.5259
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0888369 3777.1296 7.899696 1982-1999 –> 2000-2012 2.106724 8500.5259
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.0870369 3772.9900 12.684409 1982-1999 –> 2000-2012 2.111238 8516.6574
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.0870369 3772.9900 12.684409 1982-1999 –> 2000-2012 2.111238 8516.6574
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0870369 3772.9900 12.684409 1982-1999 –> 2000-2012 2.111238 8516.6574
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.2235483 2260.2814 7.594756 2000-2012 –> 2013-2019 2.363554 6152.3110
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.2235483 2260.2814 7.594756 2000-2012 –> 2013-2019 2.363554 6152.3110
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2235483 2260.2814 7.594756 2000-2012 –> 2013-2019 2.363554 6152.3110
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.1579193 2183.8706 8.562264 2000-2012 –> 2013-2019 2.246756 5961.0002
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.1579193 2183.8706 8.562264 2000-2012 –> 2013-2019 2.246756 5961.0002
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1579193 2183.8706 8.562264 2000-2012 –> 2013-2019 2.246756 5961.0002
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2310580 2268.7621 7.450137 2000-2012 –> 2013-2019 2.378391 6176.8213
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.2275125 2264.7647 13.894436 2000-2012 –> 2013-2019 2.314549 6037.7546
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.2275125 2264.7647 13.894436 2000-2012 –> 2013-2019 2.314549 6037.7546
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2275125 2264.7647 13.894436 2000-2012 –> 2013-2019 2.314549 6037.7546
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.7943969 3337.7911 5.398179 1982-1999 –> 2000-2012 1.467100 7210.6600
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.7943969 3337.7911 5.398179 1982-1999 –> 2000-2012 1.467100 7210.6600
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7943969 3337.7911 5.398179 1982-1999 –> 2000-2012 1.467100 7210.6600
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.8093116 3389.7988 5.389161 1982-1999 –> 2000-2012 1.527615 7510.1929
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8093116 3389.7988 5.389161 1982-1999 –> 2000-2012 1.527615 7510.1929
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7972728 3347.8948 5.317335 1982-1999 –> 2000-2012 1.474077 7243.7012
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8011440 3361.4382 5.239412 1982-1999 –> 2000-2012 1.484162 7291.7327
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.7991765 3354.5633 5.281963 1982-1999 –> 2000-2012 1.479357 7269.1497
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.7991765 3354.5633 5.281963 1982-1999 –> 2000-2012 1.479357 7269.1497
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7991765 3354.5633 5.281963 1982-1999 –> 2000-2012 1.479357 7269.1497
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.8779548 1849.2204 7.088283 2000-2012 –> 2013-2019 1.672352 5187.0115
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.8779548 1849.2204 7.088283 2000-2012 –> 2013-2019 1.672352 5187.0115
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8779548 1849.2204 7.088283 2000-2012 –> 2013-2019 1.672352 5187.0115
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.8569972 1814.8160 8.112716 2000-2012 –> 2013-2019 1.666309 5204.6147
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.8569972 1814.8160 8.112716 2000-2012 –> 2013-2019 1.666309 5204.6147
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8569972 1814.8160 8.112716 2000-2012 –> 2013-2019 1.666309 5204.6147
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8845179 1859.8258 6.949110 2000-2012 –> 2013-2019 1.681791 5207.7206
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.8876626 1864.8796 6.919523 2000-2012 –> 2013-2019 1.686839 5219.4429
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.8876626 1864.8796 6.919523 2000-2012 –> 2013-2019 1.686839 5219.4429
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8876626 1864.8796 6.919523 2000-2012 –> 2013-2019 1.686839 5219.4429
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.8311005 4981.8181 10.766765 1982-1999 –> 2000-2012 1.559758 11294.8595
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.8311005 4981.8181 10.766765 1982-1999 –> 2000-2012 1.559758 11294.8595
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8311005 4981.8181 10.766765 1982-1999 –> 2000-2012 1.559758 11294.8595
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8391352 5020.5527 10.759834 1982-1999 –> 2000-2012 1.575652 11394.8979
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.8420102 5034.3229 10.786385 1982-1999 –> 2000-2012 1.581873 11434.5653
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.8420102 5034.3229 10.786385 1982-1999 –> 2000-2012 1.581873 11434.5653
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8420102 5034.3229 10.786385 1982-1999 –> 2000-2012 1.581873 11434.5653
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.7775516 4713.6839 9.636052 1982-1999 –> 2000-2012 1.522495 11153.0248
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.7775516 4713.6839 9.636052 1982-1999 –> 2000-2012 1.522495 11153.0248
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7775516 4713.6839 9.636052 1982-1999 –> 2000-2012 1.522495 11153.0248
Atlantic (28.15,28.2] cstar_tref ~ aou + oxygen + silicate + phosphate 0.9400610 2937.9680 9.694372 2000-2012 –> 2013-2019 1.771630 7920.0543
Atlantic (28.15,28.2] cstar_tref ~ aou + oxygen + silicate + phosphate_star 0.9400610 2937.9680 9.694372 2000-2012 –> 2013-2019 1.771630 7920.0543
Atlantic (28.15,28.2] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.9400610 2937.9680 9.694372 2000-2012 –> 2013-2019 1.771630 7920.0543
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.9261747 2907.8826 8.026154 2000-2012 –> 2013-2019 1.757275 7889.7007
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.9261747 2907.8826 8.026154 2000-2012 –> 2013-2019 1.757275 7889.7007
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.9261747 2907.8826 8.026154 2000-2012 –> 2013-2019 1.757275 7889.7007
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9345422 2927.2734 8.025563 2000-2012 –> 2013-2019 1.773677 7947.8262
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.8484146 2718.8155 8.842232 2000-2012 –> 2013-2019 1.625966 7432.4994
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.8484146 2718.8155 8.842232 2000-2012 –> 2013-2019 1.625966 7432.4994
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8484146 2718.8155 8.842232 2000-2012 –> 2013-2019 1.625966 7432.4994
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.6829634 8781.9277 2.924992 1982-1999 –> 2000-2012 1.257464 19057.9968
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.6829634 8781.9277 2.924992 1982-1999 –> 2000-2012 1.257464 19057.9968
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 0.6990396 8976.5255 2.842565 1982-1999 –> 2000-2012 1.282701 19438.3524
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.6829634 8781.9277 2.924992 1982-1999 –> 2000-2012 1.257464 19057.9968
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6816066 8765.1232 2.911507 1982-1999 –> 2000-2012 1.255519 19029.0472
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.6869762 8831.4304 2.973085 1982-1999 –> 2000-2012 1.264743 19174.7887
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.6846615 8802.9111 2.946372 1982-1999 –> 2000-2012 1.260981 19116.4945
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.6846615 8802.9111 2.946372 1982-1999 –> 2000-2012 1.260981 19116.4945
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.6846615 8802.9111 2.946372 1982-1999 –> 2000-2012 1.260981 19116.4945
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.6765508 8702.2125 9.628805 1982-1999 –> 2000-2012 1.302156 19989.6626
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.7766673 5604.7403 3.091854 2000-2012 –> 2013-2019 1.459631 14386.6679
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.7766673 5604.7403 3.091854 2000-2012 –> 2013-2019 1.459631 14386.6679
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7766673 5604.7403 3.091854 2000-2012 –> 2013-2019 1.459631 14386.6679
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7742414 5589.7429 3.139424 2000-2012 –> 2013-2019 1.455848 14354.8661
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.7808814 5630.6818 3.140483 2000-2012 –> 2013-2019 1.467858 14462.1122
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.7777060 5611.1473 3.110185 2000-2012 –> 2013-2019 1.462368 14414.0584
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.7777060 5611.1473 3.110185 2000-2012 –> 2013-2019 1.462368 14414.0584
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7777060 5611.1473 3.110185 2000-2012 –> 2013-2019 1.462368 14414.0584
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.7984159 5737.1392 9.067261 2000-2012 –> 2013-2019 1.474967 14439.3518
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.7984159 5737.1392 9.067261 2000-2012 –> 2013-2019 1.474967 14439.3518
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + phosphate 6.2801597 36600.1682 29.818984 1982-1999 –> 2000-2012 12.862680 87384.7542
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + phosphate_star 6.2801597 36600.1682 29.818984 1982-1999 –> 2000-2012 12.862680 87384.7542
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 6.2388929 36528.0930 29.366420 1982-1999 –> 2000-2012 12.772571 87200.2068
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 6.2388929 36528.0930 29.366420 1982-1999 –> 2000-2012 12.772571 87200.2068
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.2801597 36600.1682 29.818984 1982-1999 –> 2000-2012 12.862680 87384.7542
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.2388929 36528.0930 29.366420 1982-1999 –> 2000-2012 12.772571 87200.2068
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate 6.2733617 36589.9990 29.675295 1982-1999 –> 2000-2012 12.852338 87368.3078
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 6.2733617 36589.9990 29.675295 1982-1999 –> 2000-2012 12.852338 87368.3078
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6.2733617 36589.9990 29.675295 1982-1999 –> 2000-2012 12.852338 87368.3078
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.3773992 36774.8088 29.718986 1982-1999 –> 2000-2012 13.034718 87735.0625
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + phosphate 5.9966384 19054.5361 24.645119 2000-2012 –> 2013-2019 12.276798 55654.7043
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + phosphate_star 5.9966384 19054.5361 24.645119 2000-2012 –> 2013-2019 12.276798 55654.7043
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 5.9243606 18984.6030 23.875073 2000-2012 –> 2013-2019 12.163253 55512.6960
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 5.9243606 18984.6030 23.875073 2000-2012 –> 2013-2019 12.163253 55512.6960
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.9966384 19054.5361 24.645119 2000-2012 –> 2013-2019 12.276798 55654.7043
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.9243606 18984.6030 23.875073 2000-2012 –> 2013-2019 12.163253 55512.6960
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate 5.9924378 19052.3794 24.457831 2000-2012 –> 2013-2019 12.265799 55642.3784
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 5.9924378 19052.3794 24.457831 2000-2012 –> 2013-2019 12.265799 55642.3784
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.9924378 19052.3794 24.457831 2000-2012 –> 2013-2019 12.265799 55642.3784
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.0470335 19106.1797 24.650519 2000-2012 –> 2013-2019 12.424433 55880.9886
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.5539940 35080.7012 44.753312 1982-1999 –> 2000-2012 8.823708 82991.6211
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.5539940 35080.7012 44.753312 1982-1999 –> 2000-2012 8.823708 82991.6211
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5539940 35080.7012 44.753312 1982-1999 –> 2000-2012 8.823708 82991.6211
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6161138 35242.5790 40.891373 1982-1999 –> 2000-2012 8.941439 83369.4242
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6965239 35448.9144 39.546419 1982-1999 –> 2000-2012 9.085497 83819.5071
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.7055211 35471.7817 39.423783 1982-1999 –> 2000-2012 9.107829 83892.9940
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.7055211 35471.7817 39.423783 1982-1999 –> 2000-2012 9.107829 83892.9940
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7055211 35471.7817 39.423783 1982-1999 –> 2000-2012 9.107829 83892.9940
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.9361025 36043.3683 42.245436 1982-1999 –> 2000-2012 9.609323 85461.0601
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.9361025 36043.3683 42.245436 1982-1999 –> 2000-2012 9.609323 85461.0601
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.5800051 18616.4801 45.821666 2000-2012 –> 2013-2019 9.133999 53697.1812
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.5800051 18616.4801 45.821666 2000-2012 –> 2013-2019 9.133999 53697.1812
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5800051 18616.4801 45.821666 2000-2012 –> 2013-2019 9.133999 53697.1812
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6574285 18722.5251 39.739545 2000-2012 –> 2013-2019 9.273542 53965.1042
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.7355004 18827.6881 36.855147 2000-2012 –> 2013-2019 9.432024 54276.6026
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.7403369 18834.1457 36.682469 2000-2012 –> 2013-2019 9.445858 54305.9273
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.7403369 18834.1457 36.682469 2000-2012 –> 2013-2019 9.445858 54305.9273
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7403369 18834.1457 36.682469 2000-2012 –> 2013-2019 9.445858 54305.9273
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.8209449 18938.8131 35.204419 2000-2012 –> 2013-2019 9.756173 54978.0648
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.9051301 19050.3267 38.488949 2000-2012 –> 2013-2019 9.841233 55093.6949
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate 4.2530081 28580.1873 22.088300 1982-1999 –> 2000-2012 8.329365 67751.7414
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate_star 4.2530081 28580.1873 22.088300 1982-1999 –> 2000-2012 8.329365 67751.7414
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.2530081 28580.1873 22.088300 1982-1999 –> 2000-2012 8.329365 67751.7414
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.0892195 28190.7985 20.072352 1982-1999 –> 2000-2012 7.972161 66690.3175
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.0892195 28190.7985 20.072352 1982-1999 –> 2000-2012 7.972161 66690.3175
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0892195 28190.7985 20.072352 1982-1999 –> 2000-2012 7.972161 66690.3175
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2360966 28542.4799 19.954055 1982-1999 –> 2000-2012 8.211579 67368.5892
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.1256713 28279.2431 22.364969 1982-1999 –> 2000-2012 8.126354 67192.9706
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.1256713 28279.2431 22.364969 1982-1999 –> 2000-2012 8.126354 67192.9706
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.1256713 28279.2431 22.364969 1982-1999 –> 2000-2012 8.126354 67192.9706
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate 4.5664310 15869.5452 24.381318 2000-2012 –> 2013-2019 8.819439 44449.7325
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate_star 4.5664310 15869.5452 24.381318 2000-2012 –> 2013-2019 8.819439 44449.7325
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5664310 15869.5452 24.381318 2000-2012 –> 2013-2019 8.819439 44449.7325
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.4241171 15700.6380 23.915080 2000-2012 –> 2013-2019 8.513336 43891.4365
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.4241171 15700.6380 23.915080 2000-2012 –> 2013-2019 8.513336 43891.4365
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4241171 15700.6380 23.915080 2000-2012 –> 2013-2019 8.513336 43891.4365
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5675473 15872.8646 23.790924 2000-2012 –> 2013-2019 8.803644 44415.3445
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.4602774 15744.5790 23.480597 2000-2012 –> 2013-2019 8.585949 44023.8221
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.4602774 15744.5790 23.480597 2000-2012 –> 2013-2019 8.585949 44023.8221
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4602774 15744.5790 23.480597 2000-2012 –> 2013-2019 8.585949 44023.8221
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.4299290 35686.8420 20.567849 1982-1999 –> 2000-2012 8.235528 83066.3715
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.4299290 35686.8420 20.567849 1982-1999 –> 2000-2012 8.235528 83066.3715
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4299290 35686.8420 20.567849 1982-1999 –> 2000-2012 8.235528 83066.3715
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.3764564 35537.8328 24.155271 1982-1999 –> 2000-2012 8.155596 82797.4266
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.3764564 35537.8328 24.155271 1982-1999 –> 2000-2012 8.155596 82797.4266
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3764564 35537.8328 24.155271 1982-1999 –> 2000-2012 8.155596 82797.4266
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + oxygen + phosphate_star 4.4147522 35642.7332 25.003944 1982-1999 –> 2000-2012 8.287482 83320.8516
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.3524014 35470.2051 23.266241 1982-1999 –> 2000-2012 8.174186 82922.6919
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.3524014 35470.2051 23.266241 1982-1999 –> 2000-2012 8.174186 82922.6919
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.3524014 35470.2051 23.266241 1982-1999 –> 2000-2012 8.174186 82922.6919
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.8272468 19637.5164 21.530173 2000-2012 –> 2013-2019 9.257176 55324.3583
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.7804239 19573.6147 27.468474 2000-2012 –> 2013-2019 9.156880 55111.4474
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.7804239 19573.6147 27.468474 2000-2012 –> 2013-2019 9.156880 55111.4474
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.7804239 19573.6147 27.468474 2000-2012 –> 2013-2019 9.156880 55111.4474
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + oxygen + phosphate 4.8134874 19616.8027 28.200886 2000-2012 –> 2013-2019 9.228240 55259.5358
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + oxygen + phosphate_star 4.8134874 19616.8027 28.200886 2000-2012 –> 2013-2019 9.228240 55259.5358
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.7660416 19553.8606 26.508381 2000-2012 –> 2013-2019 9.118443 55024.0656
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.7660416 19553.8606 26.508381 2000-2012 –> 2013-2019 9.118443 55024.0656
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.8134874 19616.8027 28.200886 2000-2012 –> 2013-2019 9.228240 55259.5358
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.7660416 19553.8606 26.508381 2000-2012 –> 2013-2019 9.118443 55024.0656
Indo-Pacific (27,27.25] cstar_tref ~ aou + oxygen + silicate + phosphate_star 4.4247843 45196.9766 41.955348 1982-1999 –> 2000-2012 8.124924 103633.3899
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.3779276 45033.4517 44.485161 1982-1999 –> 2000-2012 7.999529 103012.2726
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.3779276 45033.4517 44.485161 1982-1999 –> 2000-2012 7.999529 103012.2726
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3779276 45033.4517 44.485161 1982-1999 –> 2000-2012 7.999529 103012.2726
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.3906586 45078.5995 51.228310 1982-1999 –> 2000-2012 8.058303 103328.0536
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.3906586 45078.5995 51.228310 1982-1999 –> 2000-2012 8.058303 103328.0536
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3906586 45078.5995 51.228310 1982-1999 –> 2000-2012 8.058303 103328.0536
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.0073313 43658.2318 33.755013 1982-1999 –> 2000-2012 7.387478 100158.9966
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.0073313 43658.2318 33.755013 1982-1999 –> 2000-2012 7.387478 100158.9966
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0073313 43658.2318 33.755013 1982-1999 –> 2000-2012 7.387478 100158.9966
Indo-Pacific (27,27.25] cstar_tref ~ aou + oxygen + silicate + phosphate 5.1723556 25508.4330 36.033755 2000-2012 –> 2013-2019 9.597140 70705.4095
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 5.1179855 25422.4495 38.508960 2000-2012 –> 2013-2019 9.495913 70455.9013
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 5.1179855 25422.4495 38.508960 2000-2012 –> 2013-2019 9.495913 70455.9013
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.1179855 25422.4495 38.508960 2000-2012 –> 2013-2019 9.495913 70455.9013
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 5.1786096 25520.4940 46.466105 2000-2012 –> 2013-2019 9.569268 70599.0935
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 5.1786096 25520.4940 46.466105 2000-2012 –> 2013-2019 9.569268 70599.0935
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.1786096 25520.4940 46.466105 2000-2012 –> 2013-2019 9.569268 70599.0935
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.5859941 24508.6376 29.369756 2000-2012 –> 2013-2019 8.593325 68166.8694
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.5859941 24508.6376 29.369756 2000-2012 –> 2013-2019 8.593325 68166.8694
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5859941 24508.6376 29.369756 2000-2012 –> 2013-2019 8.593325 68166.8694
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.6005006 39709.5681 33.071824 1982-1999 –> 2000-2012 6.571859 89200.5563
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.6005006 39709.5681 33.071824 1982-1999 –> 2000-2012 6.571859 89200.5563
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5414587 39466.4822 33.401271 1982-1999 –> 2000-2012 6.479934 88737.9332
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5702464 39585.5086 33.491300 1982-1999 –> 2000-2012 6.534777 89031.1136
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.5492843 39498.9338 33.569547 1982-1999 –> 2000-2012 6.501689 88863.6767
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.5492843 39498.9338 33.569547 1982-1999 –> 2000-2012 6.501689 88863.6767
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5492843 39498.9338 33.569547 1982-1999 –> 2000-2012 6.501689 88863.6767
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.3267764 38547.0941 33.862527 1982-1999 –> 2000-2012 6.181484 87247.9800
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.3267764 38547.0941 33.862527 1982-1999 –> 2000-2012 6.181484 87247.9800
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3267764 38547.0941 33.862527 1982-1999 –> 2000-2012 6.181484 87247.9800
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + silicate 3.7317787 21402.6682 34.814145 2000-2012 –> 2013-2019 7.113161 60189.1227
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1032514 22144.5551 33.161694 2000-2012 –> 2013-2019 7.644710 61611.0373
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.1338823 22202.6998 33.279262 2000-2012 –> 2013-2019 7.704129 61788.2084
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.1066786 22151.0822 33.387214 2000-2012 –> 2013-2019 7.655963 61650.0160
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.1066786 22151.0822 33.387214 2000-2012 –> 2013-2019 7.655963 61650.0160
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1066786 22151.0822 33.387214 2000-2012 –> 2013-2019 7.655963 61650.0160
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate 3.8601832 21665.1485 34.917655 2000-2012 –> 2013-2019 7.347179 60901.7781
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.7917291 21527.2650 33.525325 2000-2012 –> 2013-2019 7.118506 60074.3591
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.7917291 21527.2650 33.525325 2000-2012 –> 2013-2019 7.118506 60074.3591
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7917291 21527.2650 33.525325 2000-2012 –> 2013-2019 7.118506 60074.3591
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.1083250 39810.5151 10.089971 1982-1999 –> 2000-2012 5.383532 87947.9588
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.1083250 39810.5151 10.089971 1982-1999 –> 2000-2012 5.383532 87947.9588
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1083250 39810.5151 10.089971 1982-1999 –> 2000-2012 5.383532 87947.9588
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + silicate 2.9330691 38905.8709 12.658972 1982-1999 –> 2000-2012 5.310948 87991.1222
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0515401 39523.1104 9.456817 1982-1999 –> 2000-2012 5.299053 87397.5594
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.0584885 39558.5637 9.504795 1982-1999 –> 2000-2012 5.318787 87554.8273
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.0476098 39503.0203 9.397780 1982-1999 –> 2000-2012 5.302148 87444.4940
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.0476098 39503.0203 9.397780 1982-1999 –> 2000-2012 5.302148 87444.4940
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.0631121 39580.1107 12.814094 1982-1999 –> 2000-2012 5.371529 88026.7251
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0476098 39503.0203 9.397780 1982-1999 –> 2000-2012 5.302148 87444.4940
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6620606 22450.6932 12.124587 2000-2012 –> 2013-2019 6.770386 62261.2083
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + silicate 3.4043308 21848.0440 14.163191 2000-2012 –> 2013-2019 6.337400 60753.9150
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.5990796 22305.4345 10.796496 2000-2012 –> 2013-2019 6.702783 62090.7573
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5857892 22276.8837 11.095529 2000-2012 –> 2013-2019 6.637329 61799.9940
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5893554 22285.0923 11.103375 2000-2012 –> 2013-2019 6.647844 61843.6560
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate 3.5842384 22271.3114 10.606838 2000-2012 –> 2013-2019 6.676826 62000.7028
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.5747323 22251.3804 10.907617 2000-2012 –> 2013-2019 6.622342 61754.4007
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.5747323 22251.3804 10.907617 2000-2012 –> 2013-2019 6.622342 61754.4007
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.6764968 22481.1829 17.935126 2000-2012 –> 2013-2019 6.739609 62061.2936
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5747323 22251.3804 10.907617 2000-2012 –> 2013-2019 6.622342 61754.4007
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + oxygen + silicate + phosphate_star 2.6639007 15771.6562 22.864245 1982-1999 –> 2000-2012 4.750675 34989.3863
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6639007 15771.6562 22.864245 1982-1999 –> 2000-2012 4.750675 34989.3863
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6510177 15741.8056 24.056369 1982-1999 –> 2000-2012 4.735624 34952.2697
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6510177 15741.8056 24.056369 1982-1999 –> 2000-2012 4.735624 34952.2697
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6510177 15741.8056 24.056369 1982-1999 –> 2000-2012 4.735624 34952.2697
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + silicate 2.5629574 15519.8592 25.660556 1982-1999 –> 2000-2012 4.684073 34885.0905
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate 2.5953193 15600.2980 24.058785 1982-1999 –> 2000-2012 4.719805 34977.6800
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.5894484 15587.4191 22.616594 1982-1999 –> 2000-2012 4.649321 34691.4864
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.5894484 15587.4191 22.616594 1982-1999 –> 2000-2012 4.649321 34691.4864
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5894484 15587.4191 22.616594 1982-1999 –> 2000-2012 4.649321 34691.4864
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.1032714 9357.2099 28.842289 2000-2012 –> 2013-2019 5.754289 25099.0156
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1032714 9357.2099 28.842289 2000-2012 –> 2013-2019 5.754289 25099.0156
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.0203461 9258.0230 31.461684 2000-2012 –> 2013-2019 5.679828 25020.7723
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.0203461 9258.0230 31.461684 2000-2012 –> 2013-2019 5.679828 25020.7723
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + silicate 2.9858235 9215.9253 32.359625 2000-2012 –> 2013-2019 5.548781 24735.7846
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0203461 9258.0230 31.461684 2000-2012 –> 2013-2019 5.679828 25020.7723
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate 3.0879008 9337.0268 29.005088 2000-2012 –> 2013-2019 5.683220 24937.3248
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.0638417 9310.3829 25.606619 2000-2012 –> 2013-2019 5.653290 24897.8020
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.0638417 9310.3829 25.606619 2000-2012 –> 2013-2019 5.653290 24897.8020
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0638417 9310.3829 25.606619 2000-2012 –> 2013-2019 5.653290 24897.8020
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + oxygen + silicate + phosphate 2.7768689 19763.4849 35.768682 1982-1999 –> 2000-2012 4.890439 43928.0663
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + oxygen + silicate + phosphate_star 2.7768689 19763.4849 35.768682 1982-1999 –> 2000-2012 4.890439 43928.0663
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.7768689 19763.4849 35.768682 1982-1999 –> 2000-2012 4.890439 43928.0663
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.7754984 19761.4892 36.065886 1982-1999 –> 2000-2012 4.888401 43924.5497
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.7754984 19761.4892 36.065886 1982-1999 –> 2000-2012 4.888401 43924.5497
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7754984 19761.4892 36.065886 1982-1999 –> 2000-2012 4.888401 43924.5497
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7818621 19780.0261 35.843695 1982-1999 –> 2000-2012 4.900897 43975.3844
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.7622174 19722.6658 36.840204 1982-1999 –> 2000-2012 4.865997 43837.5037
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.7622174 19722.6658 36.840204 1982-1999 –> 2000-2012 4.865997 43837.5037
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.7622174 19722.6658 36.840204 1982-1999 –> 2000-2012 4.865997 43837.5037
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.0413356 10857.8121 41.543177 2000-2012 –> 2013-2019 5.822142 30634.7650
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.0413356 10857.8121 41.543177 2000-2012 –> 2013-2019 5.822142 30634.7650
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + silicate 3.0429129 10860.0332 43.043750 2000-2012 –> 2013-2019 5.804537 30580.9603
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0413356 10857.8121 41.543177 2000-2012 –> 2013-2019 5.822142 30634.7650
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate 3.0546560 10874.5340 40.601759 2000-2012 –> 2013-2019 5.835544 30649.7242
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate_star 3.0546560 10874.5340 40.601759 2000-2012 –> 2013-2019 5.835544 30649.7242
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate 3.0583478 10879.7085 42.040530 2000-2012 –> 2013-2019 5.820673 30600.6916
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.0518298 10872.5687 40.735383 2000-2012 –> 2013-2019 5.814047 30595.2345
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.0518298 10872.5687 40.735383 2000-2012 –> 2013-2019 5.814047 30595.2345
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0518298 10872.5687 40.735383 2000-2012 –> 2013-2019 5.814047 30595.2345
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.2539713 17867.0577 8.649145 1982-1999 –> 2000-2012 4.218805 41417.3211
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.2539713 17867.0577 8.649145 1982-1999 –> 2000-2012 4.218805 41417.3211
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2539713 17867.0577 8.649145 1982-1999 –> 2000-2012 4.218805 41417.3211
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2586209 17883.5434 8.671942 1982-1999 –> 2000-2012 4.226775 41452.7800
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.2584202 17882.8325 8.669948 1982-1999 –> 2000-2012 4.227044 41454.7490
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.2584202 17882.8325 8.669948 1982-1999 –> 2000-2012 4.227044 41454.7490
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2584202 17882.8325 8.669948 1982-1999 –> 2000-2012 4.227044 41454.7490
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.2544584 17868.7863 8.194285 1982-1999 –> 2000-2012 4.216315 41402.0101
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.2544584 17868.7863 8.194285 1982-1999 –> 2000-2012 4.216315 41402.0101
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.2544584 17868.7863 8.194285 1982-1999 –> 2000-2012 4.216315 41402.0101
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate 2.4699956 10284.9909 8.909061 2000-2012 –> 2013-2019 4.724832 28153.1177
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.4636685 10275.6491 8.995974 2000-2012 –> 2013-2019 4.717640 28142.7068
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.4636685 10275.6491 8.995974 2000-2012 –> 2013-2019 4.717640 28142.7068
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4636685 10275.6491 8.995974 2000-2012 –> 2013-2019 4.717640 28142.7068
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + silicate 2.4281656 10211.4618 8.465939 2000-2012 –> 2013-2019 4.667345 28025.8461
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.4690447 10285.2882 9.057342 2000-2012 –> 2013-2019 4.727465 28168.1207
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.4690447 10285.2882 9.057342 2000-2012 –> 2013-2019 4.727465 28168.1207
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.4590057 10267.2720 8.013161 2000-2012 –> 2013-2019 4.713464 28136.0583
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.4590057 10267.2720 8.013161 2000-2012 –> 2013-2019 4.713464 28136.0583
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.4590057 10267.2720 8.013161 2000-2012 –> 2013-2019 4.713464 28136.0583
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.8928438 10632.3315 8.764850 1982-1999 –> 2000-2012 3.524307 25009.0683
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.8928438 10632.3315 8.764850 1982-1999 –> 2000-2012 3.524307 25009.0683
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.9234948 10713.2506 8.647099 1982-1999 –> 2000-2012 3.559831 25110.4332
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8928438 10632.3315 8.764850 1982-1999 –> 2000-2012 3.524307 25009.0683
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.9179397 10698.3211 8.633406 1982-1999 –> 2000-2012 3.560506 25124.1057
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8951875 10638.7192 8.767010 1982-1999 –> 2000-2012 3.527313 25018.5120
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8958513 10640.5267 8.767085 1982-1999 –> 2000-2012 3.528846 25024.3270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.8951582 10638.6392 8.762353 1982-1999 –> 2000-2012 3.527732 25020.5004
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.8951582 10638.6392 8.762353 1982-1999 –> 2000-2012 3.527732 25020.5004
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8951582 10638.6392 8.762353 1982-1999 –> 2000-2012 3.527732 25020.5004
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate 2.0594960 6294.8671 8.796934 2000-2012 –> 2013-2019 3.985648 17015.2430
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.0594409 6296.7886 8.802893 2000-2012 –> 2013-2019 3.952285 16929.1201
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.0594409 6296.7886 8.802893 2000-2012 –> 2013-2019 3.952285 16929.1201
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0594409 6296.7886 8.802893 2000-2012 –> 2013-2019 3.952285 16929.1201
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + silicate 2.0247390 6246.9290 8.398479 2000-2012 –> 2013-2019 3.946745 16958.1819
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0621501 6300.6457 8.807529 2000-2012 –> 2013-2019 3.957338 16939.3649
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0621491 6300.6443 8.805830 2000-2012 –> 2013-2019 3.958000 16941.1710
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.0613801 6299.5499 8.800503 2000-2012 –> 2013-2019 3.956538 16938.1891
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.0613801 6299.5499 8.800503 2000-2012 –> 2013-2019 3.956538 16938.1891
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0613801 6299.5499 8.800503 2000-2012 –> 2013-2019 3.956538 16938.1891
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.5311977 73507.2840 14.214366 1982-1999 –> 2000-2012 2.864399 167871.4547
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.5311977 73507.2840 14.214366 1982-1999 –> 2000-2012 2.864399 167871.4547
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5311977 73507.2840 14.214366 1982-1999 –> 2000-2012 2.864399 167871.4547
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5313000 73509.9446 14.202239 1982-1999 –> 2000-2012 2.864069 167856.1779
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5314928 73514.9585 14.185354 1982-1999 –> 2000-2012 2.863680 167837.0700
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.5314910 73514.9130 14.185270 1982-1999 –> 2000-2012 2.863676 167836.9173
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.5314910 73514.9130 14.185270 1982-1999 –> 2000-2012 2.863676 167836.9173
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5314910 73514.9130 14.185270 1982-1999 –> 2000-2012 2.863676 167836.9173
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5317666 73520.0807 14.250129 1982-1999 –> 2000-2012 2.864089 167845.7842
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5798847 74754.1507 14.936959 1982-1999 –> 2000-2012 2.969440 171407.2658
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.7314864 42158.9485 16.581456 2000-2012 –> 2013-2019 3.262684 115666.2325
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.7314864 42158.9485 16.581456 2000-2012 –> 2013-2019 3.262684 115666.2325
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.7754628 42694.0808 15.096407 2000-2012 –> 2013-2019 3.360613 117578.7729
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7314864 42158.9485 16.581456 2000-2012 –> 2013-2019 3.262684 115666.2325
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7317874 42162.6704 16.576870 2000-2012 –> 2013-2019 3.263087 115672.6150
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.7322153 42167.9616 16.575055 2000-2012 –> 2013-2019 3.263708 115682.9201
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.7322017 42167.7935 16.574226 2000-2012 –> 2013-2019 3.263693 115682.7065
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.7322017 42167.7935 16.574226 2000-2012 –> 2013-2019 3.263693 115682.7065
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.7322017 42167.7935 16.574226 2000-2012 –> 2013-2019 3.263693 115682.7065
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7349951 42200.3016 16.913655 2000-2012 –> 2013-2019 3.266762 115720.3823

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
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
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
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
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 oxygen phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 10 6 7 6 10 4 4
(26,26.5] 6 5 5 6 10 10 7
(26.5,26.75] 8 6 6 6 7 10 7
(26.75,27] 10 6 7 6 4 10 4
(27,27.25] 7 4 6 6 10 10 5
(27.25,27.5] 6 4 6 6 10 10 6
(27.5,27.75] 6 4 6 6 10 10 6
(27.75,27.85] 8 5 6 7 10 7 7
(27.85,27.95] 10 6 7 7 4 4 9
(27.95,28.05] 7 6 6 6 10 7 8
(28.05,28.1] 10 6 7 7 7 6 6
(28.1,28.15] 7 5 6 7 10 8 7
(28.15,28.2] 7 6 7 6 7 10 7
(28.2, Inf] 7 5 6 6 9 10 6
total 109.00 74.00 88.00 88.00 118.00 116.00 89.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 7 5 7 6 10 8 7
(26,26.5] 5 4 6 6 10 10 7
(26.5,26.75] 8 5 6 7 7 10 7
(26.75,27] 10 6 7 6 4 10 4
(27,27.25] 7 4 6 6 10 10 5
(27.25,27.5] 6 4 6 6 10 10 6
(27.5,27.75] 6 4 6 6 10 10 6
(27.75,27.85] 7 5 6 7 10 8 7
(27.85,27.95] 10 6 7 7 6 6 7
(27.95,28.05] 7 5 7 6 10 8 7
(28.05,28.1] 10 6 7 6 7 7 7
(28.1,28.15] 7 6 7 6 10 7 7
(28.15,28.2] 10 6 7 6 4 10 4
(28.2, Inf] 7 6 6 6 8 10 7
total 107.00 72.00 91.00 87.00 116.00 124.00 88.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 10 6 7 6 10 4 4
(26,26.5] 7 5 6 7 8 10 7
(26.5,26.75] 10 6 7 6 4 10 4
(26.75,27] 10 7 6 7 6 6 7
(27,27.25] 10 7 6 7 6 7 6
(27.25,27.5] 7 6 6 6 7 10 8
(27.5,27.75] 6 5 6 5 10 10 7
(27.75,27.85] 10 7 5 6 4 10 5
(27.85,27.95] 10 6 7 6 4 10 4
(27.95,28.05] 7 6 7 6 7 10 7
(28.05,28.1] 6 4 7 6 10 10 5
(28.1, Inf] 6 4 6 7 9 10 7
total 99.00 69.00 76.00 75.00 85.00 107.00 71.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 10 6 7 6 10 4 4
(26,26.5] 6 5 5 7 9 10 7
(26.5,26.75] 10 6 7 6 4 10 4
(26.75,27] 10 7 6 7 4 4 9
(27,27.25] 10 7 7 6 6 7 6
(27.25,27.5] 7 6 5 5 6 10 10
(27.5,27.75] 5 4 5 4 10 10 9
(27.75,27.85] 10 7 5 6 6 7 8
(27.85,27.95] 10 8 5 5 4 5 10
(27.95,28.05] 8 8 5 5 7 10 6
(28.05,28.1] 7 6 5 5 10 10 6
(28.1, Inf] 6 4 6 6 10 10 6
total 99.00 74.00 68.00 68.00 86.00 97.00 85.00

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
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
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_0.7.2      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_3.3.2   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_1.4-1         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_2.1.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.9              readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.0.2           jsonlite_1.7.1          
[40] zip_2.1.1                car_3.0-10               magrittr_1.5            
[43] Matrix_1.2-18            Rcpp_1.0.5               munsell_0.5.0           
[46] fansi_0.4.1              abind_1.4-5              lifecycle_0.2.0         
[49] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[52] carData_3.0-4            plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.0
[67] data.table_1.13.2        modelr_0.1.8             vctrs_0.3.5             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.18               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.7.0      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_0.1