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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_model_runA.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)

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

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

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

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 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 + silicate + phosphate 2.8983735 371.5647 8.478810 1982-1999 –> 2000-2012 5.657840 726.3213
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.8983735 371.5647 8.478810 1982-1999 –> 2000-2012 5.657840 726.3213
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.8983735 371.5647 8.478810 1982-1999 –> 2000-2012 5.657840 726.3213
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + silicate 3.0193515 377.4532 9.208310 1982-1999 –> 2000-2012 6.527934 765.8343
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9265271 372.9567 8.572980 1982-1999 –> 2000-2012 5.877968 737.1292
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9315381 373.2031 8.596784 1982-1999 –> 2000-2012 5.921823 739.2061
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate 3.0193559 375.4534 9.210323 1982-1999 –> 2000-2012 6.581879 763.9705
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.9364973 373.4465 8.602596 1982-1999 –> 2000-2012 5.941603 740.1416
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.9364973 373.4465 8.602596 1982-1999 –> 2000-2012 5.941603 740.1416
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9364973 373.4465 8.602596 1982-1999 –> 2000-2012 5.941603 740.1416
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.3928847 294.0505 6.794477 2000-2012 –> 2013-2019 4.291258 665.6152
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.3928847 294.0505 6.794477 2000-2012 –> 2013-2019 4.291258 665.6152
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3928847 294.0505 6.794477 2000-2012 –> 2013-2019 4.291258 665.6152
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.0103592 242.6791 3.599014 2000-2012 –> 2013-2019 4.029711 620.1323
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3565820 289.8251 6.420376 2000-2012 –> 2013-2019 4.283109 662.7818
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3315563 286.8459 6.312885 2000-2012 –> 2013-2019 4.263094 660.0490
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.3180329 285.2126 6.301141 2000-2012 –> 2013-2019 4.254530 658.6591
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.3180329 285.2126 6.301141 2000-2012 –> 2013-2019 4.254530 658.6591
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3180329 285.2126 6.301141 2000-2012 –> 2013-2019 4.254530 658.6591
Atlantic (-Inf,26] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.6265671 318.8656 4.550957 2000-2012 –> 2013-2019 4.805788 703.7484
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.3140523 3536.6304 14.439982 1982-1999 –> 2000-2012 6.510966 5832.3444
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.3140523 3536.6304 14.439982 1982-1999 –> 2000-2012 6.510966 5832.3444
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3140523 3536.6304 14.439982 1982-1999 –> 2000-2012 6.510966 5832.3444
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3952422 3569.2081 14.565062 1982-1999 –> 2000-2012 6.721184 5899.8994
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.4145307 3576.8332 14.549957 1982-1999 –> 2000-2012 6.772523 5916.0022
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.4304271 3583.0850 14.497991 1982-1999 –> 2000-2012 6.807416 5927.2409
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.4304271 3583.0850 14.497991 1982-1999 –> 2000-2012 6.807416 5927.2409
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4304271 3583.0850 14.497991 1982-1999 –> 2000-2012 6.807416 5927.2409
Atlantic (26,26.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.3952481 3569.2105 16.594386 1982-1999 –> 2000-2012 6.963452 5962.0554
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3952481 3569.2105 16.594386 1982-1999 –> 2000-2012 6.963452 5962.0554
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6188217 966.6652 9.987443 2000-2012 –> 2013-2019 5.932874 4503.2956
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6188217 966.6652 9.987443 2000-2012 –> 2013-2019 5.932874 4503.2956
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6188217 966.6652 9.987443 2000-2012 –> 2013-2019 5.932874 4503.2956
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + oxygen + silicate 2.6137169 965.8847 9.604968 2000-2012 –> 2013-2019 6.240649 4623.9450
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate 2.6299908 966.3676 10.164133 2000-2012 –> 2013-2019 6.291848 4635.3269
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5981492 963.4952 9.602203 2000-2012 –> 2013-2019 5.993391 4532.7033
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5979924 963.4710 9.587996 2000-2012 –> 2013-2019 6.012523 4540.3042
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.5980091 963.4736 9.590613 2000-2012 –> 2013-2019 6.028436 4546.5586
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.5980091 963.4736 9.590613 2000-2012 –> 2013-2019 6.028436 4546.5586
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.5980091 963.4736 9.590613 2000-2012 –> 2013-2019 6.028436 4546.5586
Atlantic (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate 4.0199566 5463.8067 18.321821 1982-1999 –> 2000-2012 6.814371 8783.5571
Atlantic (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate_star 4.0199566 5463.8067 18.321821 1982-1999 –> 2000-2012 6.814371 8783.5571
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.0199566 5463.8067 18.321821 1982-1999 –> 2000-2012 6.814371 8783.5571
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.9190185 5416.4728 16.143225 1982-1999 –> 2000-2012 6.713159 8738.0910
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.9190185 5416.4728 16.143225 1982-1999 –> 2000-2012 6.713159 8738.0910
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9190185 5416.4728 16.143225 1982-1999 –> 2000-2012 6.713159 8738.0910
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9311670 5422.4773 16.668206 1982-1999 –> 2000-2012 6.803770 8781.5379
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.9015303 5407.7964 21.280655 1982-1999 –> 2000-2012 6.600809 8682.7165
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.9015303 5407.7964 21.280655 1982-1999 –> 2000-2012 6.600809 8682.7165
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9015303 5407.7964 21.280655 1982-1999 –> 2000-2012 6.600809 8682.7165
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.7417341 1210.0873 13.800273 2000-2012 –> 2013-2019 8.660753 6626.5600
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.7417341 1210.0873 13.800273 2000-2012 –> 2013-2019 8.660753 6626.5600
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.7417341 1210.0873 13.800273 2000-2012 –> 2013-2019 8.660753 6626.5600
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.7010509 1206.6233 13.237980 2000-2012 –> 2013-2019 8.632218 6629.1005
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.7158664 1207.8882 13.602164 2000-2012 –> 2013-2019 8.674987 6644.1114
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.7195503 1208.2021 13.606557 2000-2012 –> 2013-2019 8.691294 6650.6009
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7195503 1208.2021 13.606557 2000-2012 –> 2013-2019 8.691294 6650.6009
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.3701016 1177.2774 13.705511 2000-2012 –> 2013-2019 8.271632 6585.0737
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.3701016 1177.2774 13.705511 2000-2012 –> 2013-2019 8.271632 6585.0737
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.3701016 1177.2774 13.705511 2000-2012 –> 2013-2019 8.271632 6585.0737
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.8993270 5482.4846 12.414160 1982-1999 –> 2000-2012 4.893627 8740.4827
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.8993270 5482.4846 12.414160 1982-1999 –> 2000-2012 4.893627 8740.4827
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.8993270 5482.4846 12.414160 1982-1999 –> 2000-2012 4.893627 8740.4827
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.8552734 5448.7697 12.513532 1982-1999 –> 2000-2012 5.113957 8898.2320
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9972782 5555.6482 15.152459 1982-1999 –> 2000-2012 5.474073 9146.8882
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.0264098 5576.9469 15.731154 1982-1999 –> 2000-2012 5.565672 9206.4962
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.0264098 5576.9469 15.731154 1982-1999 –> 2000-2012 5.565672 9206.4962
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0264098 5576.9469 15.731154 1982-1999 –> 2000-2012 5.565672 9206.4962
Atlantic (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.6218731 5972.4576 26.564113 1982-1999 –> 2000-2012 5.609842 9225.5658
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.6218731 5972.4576 26.564113 1982-1999 –> 2000-2012 5.609842 9225.5658
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6320877 1493.7638 12.910367 2000-2012 –> 2013-2019 5.531415 6976.2484
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6320877 1493.7638 12.910367 2000-2012 –> 2013-2019 5.531415 6976.2484
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.6784441 1502.5883 13.908520 2000-2012 –> 2013-2019 5.592090 6993.9209
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6320877 1493.7638 12.910367 2000-2012 –> 2013-2019 5.531415 6976.2484
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 2.7166570 1511.3712 11.720492 2000-2012 –> 2013-2019 5.791166 7121.0398
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6000256 1486.1651 12.332787 2000-2012 –> 2013-2019 5.455299 6934.9348
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6650276 1501.4748 12.870262 2000-2012 –> 2013-2019 5.662306 7057.1230
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.6768018 1504.2080 12.906813 2000-2012 –> 2013-2019 5.703212 7081.1549
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.6768018 1504.2080 12.906813 2000-2012 –> 2013-2019 5.703212 7081.1549
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6768018 1504.2080 12.906813 2000-2012 –> 2013-2019 5.703212 7081.1549
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + phosphate 3.2782651 8216.4841 16.577770 1982-1999 –> 2000-2012 5.378242 13535.5679
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + phosphate_star 3.2782651 8216.4841 16.577770 1982-1999 –> 2000-2012 5.378242 13535.5679
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.9001503 7832.6910 18.331242 1982-1999 –> 2000-2012 4.587466 12616.4329
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.9001503 7832.6910 18.331242 1982-1999 –> 2000-2012 4.587466 12616.4329
Atlantic (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.2782651 8216.4841 16.577770 1982-1999 –> 2000-2012 5.378242 13535.5679
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.9001503 7832.6910 18.331242 1982-1999 –> 2000-2012 4.587466 12616.4329
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.7749714 7693.7946 16.188038 1982-1999 –> 2000-2012 4.614443 12689.5862
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.7749714 7693.7946 16.188038 1982-1999 –> 2000-2012 4.614443 12689.5862
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7749714 7693.7946 16.188038 1982-1999 –> 2000-2012 4.614443 12689.5862
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9985702 7937.7493 19.040639 1982-1999 –> 2000-2012 4.992577 13131.6607
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.4588404 2147.1381 10.510930 2000-2012 –> 2013-2019 5.358991 9979.8292
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.4588404 2147.1381 10.510930 2000-2012 –> 2013-2019 5.358991 9979.8292
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.4589149 2145.1660 10.421572 2000-2012 –> 2013-2019 5.566854 10193.6901
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4588404 2147.1381 10.510930 2000-2012 –> 2013-2019 5.358991 9979.8292
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.4437559 2141.4767 13.816621 2000-2012 –> 2013-2019 5.218727 9835.2713
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.4437559 2141.4767 13.816621 2000-2012 –> 2013-2019 5.218727 9835.2713
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.4437559 2141.4767 13.816621 2000-2012 –> 2013-2019 5.218727 9835.2713
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.4491342 2143.4993 11.116828 2000-2012 –> 2013-2019 5.447704 10081.2485
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5523339 2181.4710 12.539805 2000-2012 –> 2013-2019 5.769823 10341.0463
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.5649776 2186.0172 12.790098 2000-2012 –> 2013-2019 5.793186 10356.0630
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate 3.3758092 11139.3917 16.682828 1982-1999 –> 2000-2012 5.097039 17998.6930
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate_star 3.3758092 11139.3917 16.682828 1982-1999 –> 2000-2012 5.097039 17998.6930
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.1674320 10872.3917 18.718223 1982-1999 –> 2000-2012 4.604223 17103.3049
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.1674320 10872.3917 18.718223 1982-1999 –> 2000-2012 4.604223 17103.3049
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.3758092 11139.3917 16.682828 1982-1999 –> 2000-2012 5.097039 17998.6930
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1674320 10872.3917 18.718223 1982-1999 –> 2000-2012 4.604223 17103.3049
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.7301769 10245.1935 31.965283 1982-1999 –> 2000-2012 4.213967 16588.4419
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.7301769 10245.1935 31.965283 1982-1999 –> 2000-2012 4.213967 16588.4419
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7301769 10245.1935 31.965283 1982-1999 –> 2000-2012 4.213967 16588.4419
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.4667233 11253.5905 20.130035 1982-1999 –> 2000-2012 5.255536 18249.3034
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate 2.8677740 2395.4656 17.572790 2000-2012 –> 2013-2019 6.243583 13534.8573
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate_star 2.8677740 2395.4656 17.572790 2000-2012 –> 2013-2019 6.243583 13534.8573
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6880016 2335.0580 14.848348 2000-2012 –> 2013-2019 5.855434 13207.4497
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6880016 2335.0580 14.848348 2000-2012 –> 2013-2019 5.855434 13207.4497
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.8677740 2395.4656 17.572790 2000-2012 –> 2013-2019 6.243583 13534.8573
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6880016 2335.0580 14.848348 2000-2012 –> 2013-2019 5.855434 13207.4497
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.9224371 2011.9211 10.325382 2000-2012 –> 2013-2019 4.652614 12257.1146
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.9224371 2011.9211 10.325382 2000-2012 –> 2013-2019 4.652614 12257.1146
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.9224371 2011.9211 10.325382 2000-2012 –> 2013-2019 4.652614 12257.1146
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7762322 2366.1920 14.661794 2000-2012 –> 2013-2019 6.242955 13619.7825
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate 3.0035770 11900.4643 16.424418 1982-1999 –> 2000-2012 4.668836 17868.9671
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate_star 3.0035770 11900.4643 16.424418 1982-1999 –> 2000-2012 4.668836 17868.9671
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.9695218 11848.6423 17.512868 1982-1999 –> 2000-2012 4.625447 17801.7872
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.9695218 11848.6423 17.512868 1982-1999 –> 2000-2012 4.625447 17801.7872
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.0035770 11900.4643 16.424418 1982-1999 –> 2000-2012 4.668836 17868.9671
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.9695218 11848.6423 17.512868 1982-1999 –> 2000-2012 4.625447 17801.7872
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.8759284 11697.4825 14.155834 1982-1999 –> 2000-2012 4.539839 17665.4833
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.8759284 11697.4825 14.155834 1982-1999 –> 2000-2012 4.539839 17665.4833
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.8759284 11697.4825 14.155834 1982-1999 –> 2000-2012 4.539839 17665.4833
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1601329 12142.2883 19.448432 1982-1999 –> 2000-2012 4.928785 18298.8027
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate 3.5417650 2963.9201 20.341892 2000-2012 –> 2013-2019 6.545342 14864.3844
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate_star 3.5417650 2963.9201 20.341892 2000-2012 –> 2013-2019 6.545342 14864.3844
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.5238444 2960.3402 19.466214 2000-2012 –> 2013-2019 6.493366 14808.9825
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.5238444 2960.3402 19.466214 2000-2012 –> 2013-2019 6.493366 14808.9825
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.5417650 2963.9201 20.341892 2000-2012 –> 2013-2019 6.545342 14864.3844
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5238444 2960.3402 19.466214 2000-2012 –> 2013-2019 6.493366 14808.9825
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.5260182 2961.0186 20.221984 2000-2012 –> 2013-2019 6.401947 14658.5010
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.5260182 2961.0186 20.221984 2000-2012 –> 2013-2019 6.401947 14658.5010
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.5260182 2961.0186 20.221984 2000-2012 –> 2013-2019 6.401947 14658.5010
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5337621 2963.4317 20.081235 2000-2012 –> 2013-2019 6.693895 15105.7201
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + phosphate 2.7567443 7792.6985 12.877706 1982-1999 –> 2000-2012 4.490021 10962.8979
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + phosphate_star 2.7567443 7792.6985 12.877706 1982-1999 –> 2000-2012 4.490021 10962.8979
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6283668 7642.1932 13.257712 1982-1999 –> 2000-2012 4.090142 10541.1321
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6283668 7642.1932 13.257712 1982-1999 –> 2000-2012 4.090142 10541.1321
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.7567443 7792.6985 12.877706 1982-1999 –> 2000-2012 4.490021 10962.8979
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6283668 7642.1932 13.257712 1982-1999 –> 2000-2012 4.090142 10541.1321
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.7217040 7753.7890 13.845607 1982-1999 –> 2000-2012 4.454330 10925.3864
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.7217040 7753.7890 13.845607 1982-1999 –> 2000-2012 4.454330 10925.3864
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7217040 7753.7890 13.845607 1982-1999 –> 2000-2012 4.454330 10925.3864
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6547341 7674.1151 12.561852 1982-1999 –> 2000-2012 4.108749 10564.5155
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.9404173 1587.4187 14.397406 2000-2012 –> 2013-2019 5.568784 9229.6120
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.9404173 1587.4187 14.397406 2000-2012 –> 2013-2019 5.568784 9229.6120
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2.9443485 1586.2604 14.383417 2000-2012 –> 2013-2019 5.880988 9581.1224
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.9404173 1587.4187 14.397406 2000-2012 –> 2013-2019 5.568784 9229.6120
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1606533 1632.9219 11.060079 2000-2012 –> 2013-2019 5.882357 9386.7109
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9381146 1586.9252 14.514972 2000-2012 –> 2013-2019 5.592849 9261.0403
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9648144 1592.6244 16.021461 2000-2012 –> 2013-2019 5.779138 9453.4310
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.9482903 1589.1033 15.660120 2000-2012 –> 2013-2019 5.725822 9407.8258
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.9482903 1589.1033 15.660120 2000-2012 –> 2013-2019 5.725822 9407.8258
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9482903 1589.1033 15.660120 2000-2012 –> 2013-2019 5.725822 9407.8258
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.0157763 19077.0223 35.711584 1982-1999 –> 2000-2012 7.552281 28816.2350
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.0157763 19077.0223 35.711584 1982-1999 –> 2000-2012 7.552281 28816.2350
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0157763 19077.0223 35.711584 1982-1999 –> 2000-2012 7.552281 28816.2350
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.9074584 18891.4689 32.893801 1982-1999 –> 2000-2012 7.577944 28765.5146
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.9074584 18891.4689 32.893801 1982-1999 –> 2000-2012 7.577944 28765.5146
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9074584 18891.4689 32.893801 1982-1999 –> 2000-2012 7.577944 28765.5146
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0463504 19128.4918 35.319161 1982-1999 –> 2000-2012 7.636445 28922.2380
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.1462967 19294.0717 34.955966 1982-1999 –> 2000-2012 7.896393 29245.9223
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.1462967 19294.0717 34.955966 1982-1999 –> 2000-2012 7.896393 29245.9223
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1462967 19294.0717 34.955966 1982-1999 –> 2000-2012 7.896393 29245.9223
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.7771025 3603.0609 20.205173 2000-2012 –> 2013-2019 5.792879 22680.0832
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.7771025 3603.0609 20.205173 2000-2012 –> 2013-2019 5.792879 22680.0832
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 1.8041757 3628.2762 19.092652 2000-2012 –> 2013-2019 5.935654 22896.0523
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7771025 3603.0609 20.205173 2000-2012 –> 2013-2019 5.792879 22680.0832
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.9972436 3813.2718 24.320942 2000-2012 –> 2013-2019 5.904702 22704.7407
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.9972436 3813.2718 24.320942 2000-2012 –> 2013-2019 5.904702 22704.7407
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.9972436 3813.2718 24.320942 2000-2012 –> 2013-2019 5.904702 22704.7407
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7820554 3608.0707 20.150164 2000-2012 –> 2013-2019 5.828406 22736.5625
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.8376930 3663.4091 20.226922 2000-2012 –> 2013-2019 5.983990 22957.4809
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8376930 3663.4091 20.226922 2000-2012 –> 2013-2019 5.983990 22957.4809
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.9705270 15483.2390 13.935504 1982-1999 –> 2000-2012 3.149271 23319.1748
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.9705270 15483.2390 13.935504 1982-1999 –> 2000-2012 3.149271 23319.1748
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9705270 15483.2390 13.935504 1982-1999 –> 2000-2012 3.149271 23319.1748
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.7028028 14406.1554 15.107834 1982-1999 –> 2000-2012 2.989472 22674.8736
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.7028028 14406.1554 15.107834 1982-1999 –> 2000-2012 2.989472 22674.8736
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.7028028 14406.1554 15.107834 1982-1999 –> 2000-2012 2.989472 22674.8736
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9814187 15523.8962 13.590393 1982-1999 –> 2000-2012 3.156295 23343.5978
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.0653593 15829.9344 14.050783 1982-1999 –> 2000-2012 3.283814 23829.5512
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.0653593 15829.9344 14.050783 1982-1999 –> 2000-2012 3.283814 23829.5512
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0653593 15829.9344 14.050783 1982-1999 –> 2000-2012 3.283814 23829.5512
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.3790034 3289.2439 11.704154 2000-2012 –> 2013-2019 3.349530 18772.4828
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.3790034 3289.2439 11.704154 2000-2012 –> 2013-2019 3.349530 18772.4828
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate 1.3804631 3289.2349 11.878580 2000-2012 –> 2013-2019 3.362890 18814.8834
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3790034 3289.2439 11.704154 2000-2012 –> 2013-2019 3.349530 18772.4828
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.4879561 3432.3555 16.258232 2000-2012 –> 2013-2019 3.190759 17838.5110
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.4879561 3432.3555 16.258232 2000-2012 –> 2013-2019 3.190759 17838.5110
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.4879561 3432.3555 16.258232 2000-2012 –> 2013-2019 3.190759 17838.5110
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3743615 3282.8980 11.398563 2000-2012 –> 2013-2019 3.355780 18806.7942
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.4353452 3364.6072 12.132432 2000-2012 –> 2013-2019 3.500704 19194.5416
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.4353452 3364.6072 12.132432 2000-2012 –> 2013-2019 3.500704 19194.5416
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.6475485 10637.1409 17.576313 1982-1999 –> 2000-2012 2.762604 15503.5698
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.6475485 10637.1409 17.576313 1982-1999 –> 2000-2012 2.762604 15503.5698
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.6570297 10666.9193 15.187891 1982-1999 –> 2000-2012 2.805245 15624.4208
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6475485 10637.1409 17.576313 1982-1999 –> 2000-2012 2.762604 15503.5698
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.6250184 10560.8864 13.741859 1982-1999 –> 2000-2012 2.790067 15566.6089
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.6250184 10560.8864 13.741859 1982-1999 –> 2000-2012 2.790067 15566.6089
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6250184 10560.8864 13.741859 1982-1999 –> 2000-2012 2.790067 15566.6089
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6393995 10609.6812 18.199207 1982-1999 –> 2000-2012 2.762747 15499.6400
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.6637958 10691.4863 19.216702 1982-1999 –> 2000-2012 2.813015 15653.7627
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6637958 10691.4863 19.216702 1982-1999 –> 2000-2012 2.813015 15653.7627
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.4398698 2764.1435 5.734470 2000-2012 –> 2013-2019 3.087418 13401.2843
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.4398698 2764.1435 5.734470 2000-2012 –> 2013-2019 3.087418 13401.2843
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4398698 2764.1435 5.734470 2000-2012 –> 2013-2019 3.087418 13401.2843
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate 1.4401596 2762.4538 5.872696 2000-2012 –> 2013-2019 3.121363 13509.5818
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1.4401596 2762.4538 5.872696 2000-2012 –> 2013-2019 3.121363 13509.5818
Atlantic (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.4401596 2762.4538 5.872696 2000-2012 –> 2013-2019 3.121363 13509.5818
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4105025 2732.3680 6.238357 2000-2012 –> 2013-2019 3.049902 13342.0492
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.4361506 2760.1553 6.426146 2000-2012 –> 2013-2019 3.099946 13451.6416
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.4361506 2760.1553 6.426146 2000-2012 –> 2013-2019 3.099946 13451.6416
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4361506 2760.1553 6.426146 2000-2012 –> 2013-2019 3.099946 13451.6416
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1440738 7915.2737 12.696931 1982-1999 –> 2000-2012 1.966388 10909.2478
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1440738 7915.2737 12.696931 1982-1999 –> 2000-2012 1.966388 10909.2478
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1440738 7915.2737 12.696931 1982-1999 –> 2000-2012 1.966388 10909.2478
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + silicate + phosphate 1.1473284 7927.7215 12.740938 1982-1999 –> 2000-2012 1.986595 10969.4046
Atlantic (28.1,28.15] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.1473284 7927.7215 12.740938 1982-1999 –> 2000-2012 1.986595 10969.4046
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1370161 7883.8015 12.849121 1982-1999 –> 2000-2012 1.958785 10876.1594
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1498548 7940.9083 12.589546 1982-1999 –> 2000-2012 1.979978 10957.9059
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1417875 7905.0998 12.734240 1982-1999 –> 2000-2012 1.966188 10905.2445
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.1417875 7905.0998 12.734240 1982-1999 –> 2000-2012 1.966188 10905.2445
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1417875 7905.0998 12.734240 1982-1999 –> 2000-2012 1.966188 10905.2445
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.8823115 1615.6358 3.872421 2000-2012 –> 2013-2019 2.037014 9577.9419
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.8823115 1615.6358 3.872421 2000-2012 –> 2013-2019 2.037014 9577.9419
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 0.9085326 1649.8914 4.769204 2000-2012 –> 2013-2019 2.066194 9623.2122
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8823115 1615.6358 3.872421 2000-2012 –> 2013-2019 2.037014 9577.9419
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9084959 1651.8413 4.794934 2000-2012 –> 2013-2019 2.045512 9535.6428
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + phosphate 0.9130347 1656.0110 4.841493 2000-2012 –> 2013-2019 2.067821 9616.6840
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.9126340 1657.4675 4.917846 2000-2012 –> 2013-2019 2.054422 9562.5673
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.9126340 1657.4675 4.917846 2000-2012 –> 2013-2019 2.054422 9562.5673
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.9130347 1656.0110 4.841493 2000-2012 –> 2013-2019 2.067821 9616.6840
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9126340 1657.4675 4.917846 2000-2012 –> 2013-2019 2.054422 9562.5673
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1835149 3414.2692 16.883971 1982-1999 –> 2000-2012 1.646112 3909.1146
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1835149 3414.2692 16.883971 1982-1999 –> 2000-2012 1.646112 3909.1146
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate 1.2065504 3453.5598 14.684275 1982-1999 –> 2000-2012 1.673407 3953.2063
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1835149 3414.2692 16.883971 1982-1999 –> 2000-2012 1.646112 3909.1146
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1.1962476 3435.1905 18.315277 1982-1999 –> 2000-2012 1.749945 4061.4189
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1808012 3409.3521 17.277629 1982-1999 –> 2000-2012 1.644253 3905.5672
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1926186 3430.6826 16.449143 1982-1999 –> 2000-2012 1.675143 3956.8215
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1865394 3419.7361 16.839690 1982-1999 –> 2000-2012 1.657358 3927.6534
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.1865394 3419.7361 16.839690 1982-1999 –> 2000-2012 1.657358 3927.6534
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1865394 3419.7361 16.839690 1982-1999 –> 2000-2012 1.657358 3927.6534
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.4003889 174.1510 1.232886 2000-2012 –> 2013-2019 1.583904 3588.4202
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.4003889 174.1510 1.232886 2000-2012 –> 2013-2019 1.583904 3588.4202
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4003889 174.1510 1.232886 2000-2012 –> 2013-2019 1.583904 3588.4202
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.4727187 226.9595 2.035628 2000-2012 –> 2013-2019 1.690864 3703.0061
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.4727187 226.9595 2.035628 2000-2012 –> 2013-2019 1.690864 3703.0061
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.3989939 173.0411 1.238282 2000-2012 –> 2013-2019 1.579795 3582.3932
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.3974493 171.8077 1.260247 2000-2012 –> 2013-2019 1.590068 3602.4904
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.3975326 171.8743 1.259769 2000-2012 –> 2013-2019 1.584072 3591.6104
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.3975326 171.8743 1.259769 2000-2012 –> 2013-2019 1.584072 3591.6104
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.3975326 171.8743 1.259769 2000-2012 –> 2013-2019 1.584072 3591.6104
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.0522297 7242.7219 23.146985 1982-1999 –> 2000-2012 2.045689 9259.4711
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.0522297 7242.7219 23.146985 1982-1999 –> 2000-2012 2.045689 9259.4711
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.1062015 7486.7238 23.918302 1982-1999 –> 2000-2012 2.100611 9502.8285
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0522297 7242.7219 23.146985 1982-1999 –> 2000-2012 2.045689 9259.4711
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1.6632421 9492.4647 25.509903 1982-1999 –> 2000-2012 2.766221 11655.5036
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0372112 7172.0215 22.846933 1982-1999 –> 2000-2012 2.029683 9187.3617
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.9629372 6806.6009 21.782491 1982-1999 –> 2000-2012 1.933905 8790.8793
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.9840328 6913.1791 22.100892 1982-1999 –> 2000-2012 1.967268 8915.2595
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.9840328 6913.1791 22.100892 1982-1999 –> 2000-2012 1.967268 8915.2595
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9840328 6913.1791 22.100892 1982-1999 –> 2000-2012 1.967268 8915.2595
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.3503714 248.6923 1.455610 2000-2012 –> 2013-2019 1.402601 7491.4142
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.3503714 248.6923 1.455610 2000-2012 –> 2013-2019 1.402601 7491.4142
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 0.4744150 438.8505 3.097598 2000-2012 –> 2013-2019 1.580617 7925.5743
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3503714 248.6923 1.455610 2000-2012 –> 2013-2019 1.402601 7491.4142
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.5665555 553.3808 2.993348 2000-2012 –> 2013-2019 1.913104 9009.0452
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.3590648 264.2310 1.565864 2000-2012 –> 2013-2019 1.396276 7436.2525
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.3447091 238.3625 1.220896 2000-2012 –> 2013-2019 1.307646 7044.9634
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.3458607 240.4771 1.331758 2000-2012 –> 2013-2019 1.329894 7153.6563
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.3458607 240.4771 1.331758 2000-2012 –> 2013-2019 1.329894 7153.6563
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.3458607 240.4771 1.331758 2000-2012 –> 2013-2019 1.329894 7153.6563
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 5.1495691 21021.4403 25.219778 1982-1999 –> 2000-2012 10.021402 29105.9149
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 5.1495691 21021.4403 25.219778 1982-1999 –> 2000-2012 10.021402 29105.9149
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.1495691 21021.4403 25.219778 1982-1999 –> 2000-2012 10.021402 29105.9149
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate 5.7136012 21735.4839 28.593941 1982-1999 –> 2000-2012 10.890599 29983.2682
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 5.7136012 21735.4839 28.593941 1982-1999 –> 2000-2012 10.890599 29983.2682
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.4667880 21432.1166 23.668134 1982-1999 –> 2000-2012 10.399218 29549.8194
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.5900211 21585.2614 23.501625 1982-1999 –> 2000-2012 10.591793 29740.4896
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5.6069311 21606.0119 23.661544 1982-1999 –> 2000-2012 10.622004 29768.3788
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5.6069311 21606.0119 23.661544 1982-1999 –> 2000-2012 10.622004 29768.3788
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.6069311 21606.0119 23.661544 1982-1999 –> 2000-2012 10.622004 29768.3788
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.9321038 16221.0496 45.044700 2000-2012 –> 2013-2019 10.081673 37242.4899
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.9321038 16221.0496 45.044700 2000-2012 –> 2013-2019 10.081673 37242.4899
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.9321038 16221.0496 45.044700 2000-2012 –> 2013-2019 10.081673 37242.4899
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.6937670 16993.0777 33.953839 2000-2012 –> 2013-2019 11.407368 38728.5616
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.1989532 16504.3200 25.099718 2000-2012 –> 2013-2019 10.665741 37936.4366
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.3006969 16608.5122 22.622055 2000-2012 –> 2013-2019 10.890718 38193.7736
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5.3343895 16642.5754 22.576673 2000-2012 –> 2013-2019 10.941321 38248.5874
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5.3343895 16642.5754 22.576673 2000-2012 –> 2013-2019 10.941321 38248.5874
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.3343895 16642.5754 22.576673 2000-2012 –> 2013-2019 10.941321 38248.5874
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 5.6840037 16981.8514 24.186874 2000-2012 –> 2013-2019 11.380016 38694.1537
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.0655718 14527.7596 57.021532 1982-1999 –> 2000-2012 7.580692 22430.6440
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.0655718 14527.7596 57.021532 1982-1999 –> 2000-2012 7.580692 22430.6440
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0655718 14527.7596 57.021532 1982-1999 –> 2000-2012 7.580692 22430.6440
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 5.0095385 15601.7723 52.400456 1982-1999 –> 2000-2012 9.014802 23889.4755
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1761018 14665.7414 56.027882 1982-1999 –> 2000-2012 7.591842 22484.0786
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.3056336 14822.8704 54.360490 1982-1999 –> 2000-2012 7.845860 22746.7357
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.3203754 14840.4526 54.166184 1982-1999 –> 2000-2012 7.879646 22780.1332
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.3203754 14840.4526 54.166184 1982-1999 –> 2000-2012 7.879646 22780.1332
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.3203754 14840.4526 54.166184 1982-1999 –> 2000-2012 7.879646 22780.1332
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.6612477 15229.0924 48.957446 1982-1999 –> 2000-2012 8.882201 23669.4232
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.5882228 8039.0684 28.596235 2000-2012 –> 2013-2019 7.653795 22566.8280
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.5882228 8039.0684 28.596235 2000-2012 –> 2013-2019 7.653795 22566.8280
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5882228 8039.0684 28.596235 2000-2012 –> 2013-2019 7.653795 22566.8280
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7287082 8153.3611 27.086408 2000-2012 –> 2013-2019 7.904810 22819.1025
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.8121681 8219.2386 26.231349 2000-2012 –> 2013-2019 8.117802 23042.1090
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.8279678 8231.5472 26.184400 2000-2012 –> 2013-2019 8.148343 23071.9998
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.8279678 8231.5472 26.184400 2000-2012 –> 2013-2019 8.148343 23071.9998
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.8279678 8231.5472 26.184400 2000-2012 –> 2013-2019 8.148343 23071.9998
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.2306006 8527.1768 26.406199 2000-2012 –> 2013-2019 8.891848 23756.2691
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.1964225 8505.0366 25.371432 2000-2012 –> 2013-2019 9.333969 24236.6018
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.7741617 16123.6118 44.856588 1982-1999 –> 2000-2012 8.338666 24514.1578
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.7741617 16123.6118 44.856588 1982-1999 –> 2000-2012 8.338666 24514.1578
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.7741617 16123.6118 44.856588 1982-1999 –> 2000-2012 8.338666 24514.1578
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.4090246 16798.0535 41.957650 1982-1999 –> 2000-2012 9.268412 25436.1115
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.9238852 16290.4228 49.260124 1982-1999 –> 2000-2012 8.526070 24713.7148
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.0683270 16446.6102 49.032642 1982-1999 –> 2000-2012 8.767451 24952.5956
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5.0709595 16449.4153 48.829796 1982-1999 –> 2000-2012 8.772298 24957.2648
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5.0709595 16449.4153 48.829796 1982-1999 –> 2000-2012 8.772298 24957.2648
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.0709595 16449.4153 48.829796 1982-1999 –> 2000-2012 8.772298 24957.2648
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 5.0786341 16455.5847 47.440170 1982-1999 –> 2000-2012 8.791398 24971.0312
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.6573520 6667.4109 34.336895 2000-2012 –> 2013-2019 8.431514 22791.0227
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.6573520 6667.4109 34.336895 2000-2012 –> 2013-2019 8.431514 22791.0227
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6573520 6667.4109 34.336895 2000-2012 –> 2013-2019 8.431514 22791.0227
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.8772068 7372.6025 25.879431 2000-2012 –> 2013-2019 10.286231 24170.6560
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.8382987 6785.7210 33.532381 2000-2012 –> 2013-2019 8.762184 23076.1438
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9569165 6860.2888 31.418266 2000-2012 –> 2013-2019 9.025244 23306.8990
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.9589854 6861.5695 31.165246 2000-2012 –> 2013-2019 9.029945 23310.9848
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.9589854 6861.5695 31.165246 2000-2012 –> 2013-2019 9.029945 23310.9848
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9589854 6861.5695 31.165246 2000-2012 –> 2013-2019 9.029945 23310.9848
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.9659380 6863.8683 29.409734 2000-2012 –> 2013-2019 9.044572 23319.4530
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + phosphate 4.7985529 24686.7092 58.663004 1982-1999 –> 2000-2012 8.843665 39620.2490
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.7020408 24520.8844 53.192297 1982-1999 –> 2000-2012 8.625177 39294.2116
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.7020408 24520.8844 53.192297 1982-1999 –> 2000-2012 8.625177 39294.2116
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.7985529 24686.7092 58.663004 1982-1999 –> 2000-2012 8.843665 39620.2490
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.7020408 24520.8844 53.192297 1982-1999 –> 2000-2012 8.625177 39294.2116
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.7655629 24631.7257 45.788939 1982-1999 –> 2000-2012 8.727560 39457.2736
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.7655629 24631.7257 45.788939 1982-1999 –> 2000-2012 8.727560 39457.2736
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 4.8271627 24735.8105 31.091190 1982-1999 –> 2000-2012 8.841305 39628.6325
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.7655629 24631.7257 45.788939 1982-1999 –> 2000-2012 8.727560 39457.2736
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.7290327 24568.1651 22.783655 1982-1999 –> 2000-2012 8.642900 39328.9593
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + phosphate 4.2748232 12342.9994 27.195215 2000-2012 –> 2013-2019 9.073376 37029.7085
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + phosphate_star 4.2748232 12342.9994 27.195215 2000-2012 –> 2013-2019 9.073376 37029.7085
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.0522359 12115.3823 32.403745 2000-2012 –> 2013-2019 8.754277 36636.2668
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.0522359 12115.3823 32.403745 2000-2012 –> 2013-2019 8.754277 36636.2668
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.2748232 12342.9994 27.195215 2000-2012 –> 2013-2019 9.073376 37029.7085
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0522359 12115.3823 32.403745 2000-2012 –> 2013-2019 8.754277 36636.2668
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.1259837 12192.8274 22.150203 2000-2012 –> 2013-2019 8.891547 36824.5531
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.1259837 12192.8274 22.150203 2000-2012 –> 2013-2019 8.891547 36824.5531
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.1259837 12192.8274 22.150203 2000-2012 –> 2013-2019 8.891547 36824.5531
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2382279 12308.0817 33.499337 2000-2012 –> 2013-2019 8.967261 36876.2469
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9743927 31119.9798 58.413872 1982-1999 –> 2000-2012 7.582512 46146.9867
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.9609724 31082.3879 47.347057 1982-1999 –> 2000-2012 7.555315 46088.1411
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.9609724 31082.3879 47.347057 1982-1999 –> 2000-2012 7.555315 46088.1411
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate 3.9634021 31087.2032 47.693646 1982-1999 –> 2000-2012 7.573943 46115.9385
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9609724 31082.3879 47.347057 1982-1999 –> 2000-2012 7.555315 46088.1411
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9129106 30946.7075 47.387557 1982-1999 –> 2000-2012 7.364984 45728.0759
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9709446 31110.3335 47.879287 1982-1999 –> 2000-2012 7.554572 46099.4987
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.9679242 31101.8766 47.894257 1982-1999 –> 2000-2012 7.564594 46111.2257
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.9679242 31101.8766 47.894257 1982-1999 –> 2000-2012 7.564594 46111.2257
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9679242 31101.8766 47.894257 1982-1999 –> 2000-2012 7.564594 46111.2257
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.6661760 16398.6326 32.639898 2000-2012 –> 2013-2019 7.640569 47518.6124
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.6661760 16398.6326 32.639898 2000-2012 –> 2013-2019 7.640569 47518.6124
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6661760 16398.6326 32.639898 2000-2012 –> 2013-2019 7.640569 47518.6124
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.6650067 16396.7096 31.207699 2000-2012 –> 2013-2019 7.625979 47479.0975
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.6650067 16396.7096 31.207699 2000-2012 –> 2013-2019 7.625979 47479.0975
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate 3.7060045 16461.7662 33.133774 2000-2012 –> 2013-2019 7.669407 47548.9694
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.6650067 16396.7096 31.207699 2000-2012 –> 2013-2019 7.625979 47479.0975
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6849106 16429.3580 33.085123 2000-2012 –> 2013-2019 7.597821 47376.0655
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.7027943 16458.5424 33.283448 2000-2012 –> 2013-2019 7.670719 47560.4190
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7027943 16458.5424 33.283448 2000-2012 –> 2013-2019 7.670719 47560.4190
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.1828451 29945.1100 61.204252 1982-1999 –> 2000-2012 6.431605 46529.3226
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.1834104 29947.1730 59.233892 1982-1999 –> 2000-2012 6.367566 46403.2345
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.1834104 29947.1730 59.233892 1982-1999 –> 2000-2012 6.367566 46403.2345
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 3.2025174 30014.6843 45.951294 1982-1999 –> 2000-2012 6.391155 46477.7213
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1834104 29947.1730 59.233892 1982-1999 –> 2000-2012 6.367566 46403.2345
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1977040 29999.2122 49.725119 1982-1999 –> 2000-2012 6.304812 46298.9979
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2399668 30151.7306 40.835656 1982-1999 –> 2000-2012 6.380854 46520.5033
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.2365596 30139.5089 42.086617 1982-1999 –> 2000-2012 6.384290 46522.1669
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.2365596 30139.5089 42.086617 1982-1999 –> 2000-2012 6.384290 46522.1669
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.2365596 30139.5089 42.086617 1982-1999 –> 2000-2012 6.384290 46522.1669
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate 2.5803274 16414.3038 20.257569 2000-2012 –> 2013-2019 5.763820 46359.7777
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate_star 2.5803274 16414.3038 20.257569 2000-2012 –> 2013-2019 5.763820 46359.7777
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.5746733 16401.1021 20.061422 2000-2012 –> 2013-2019 5.757518 46346.2121
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.5746733 16401.1021 20.061422 2000-2012 –> 2013-2019 5.757518 46346.2121
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.5803274 16414.3038 20.257569 2000-2012 –> 2013-2019 5.763820 46359.7777
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5746733 16401.1021 20.061422 2000-2012 –> 2013-2019 5.757518 46346.2121
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.4957449 16185.3337 15.860360 2000-2012 –> 2013-2019 5.679155 46132.5067
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.4957449 16185.3337 15.860360 2000-2012 –> 2013-2019 5.679155 46132.5067
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.4957449 16185.3337 15.860360 2000-2012 –> 2013-2019 5.679155 46132.5067
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5854105 16429.9421 20.339021 2000-2012 –> 2013-2019 5.783114 46429.1543
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.6347572 40233.2595 30.627966 1982-1999 –> 2000-2012 7.999477 58646.9186
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.6347572 40233.2595 30.627966 1982-1999 –> 2000-2012 7.999477 58646.9186
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.6347572 40233.2595 30.627966 1982-1999 –> 2000-2012 7.999477 58646.9186
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6342854 40231.8726 31.365744 1982-1999 –> 2000-2012 7.867417 58366.6771
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6333359 40229.0815 30.777728 1982-1999 –> 2000-2012 7.907030 58451.0365
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.6328573 40227.6744 31.099836 1982-1999 –> 2000-2012 7.917073 58472.0586
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.6328573 40227.6744 31.099836 1982-1999 –> 2000-2012 7.917073 58472.0586
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6328573 40227.6744 31.099836 1982-1999 –> 2000-2012 7.917073 58472.0586
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 5.2727748 41990.1287 32.366038 1982-1999 –> 2000-2012 8.546277 60211.6734
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5.2727748 41990.1287 32.366038 1982-1999 –> 2000-2012 8.546277 60211.6734
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 6.1575803 30567.7156 53.712124 2000-2012 –> 2013-2019 10.792338 70800.9752
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 6.1575803 30567.7156 53.712124 2000-2012 –> 2013-2019 10.792338 70800.9752
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.1575803 30567.7156 53.712124 2000-2012 –> 2013-2019 10.792338 70800.9752
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 6.3525691 30860.0116 44.518639 2000-2012 –> 2013-2019 11.004005 71140.2043
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.2897574 30768.2082 54.112569 2000-2012 –> 2013-2019 10.924043 71000.0808
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.2179694 30659.8453 52.919039 2000-2012 –> 2013-2019 10.851305 70888.9268
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 6.2608676 30724.7489 53.248710 2000-2012 –> 2013-2019 10.893725 70952.4233
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 6.2608676 30724.7489 53.248710 2000-2012 –> 2013-2019 10.893725 70952.4233
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.2608676 30724.7489 53.248710 2000-2012 –> 2013-2019 10.893725 70952.4233
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 6.0746372 30439.6939 42.230311 2000-2012 –> 2013-2019 11.347412 72429.8227
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5989800 16157.5918 40.799073 1982-1999 –> 2000-2012 5.800668 24368.8168
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.9805928 14309.8761 23.215810 1982-1999 –> 2000-2012 5.154795 22493.7357
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.9805928 14309.8761 23.215810 1982-1999 –> 2000-2012 5.154795 22493.7357
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.9805928 14309.8761 23.215810 1982-1999 –> 2000-2012 5.154795 22493.7357
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + phosphate 2.3695337 15527.0957 25.980709 1982-1999 –> 2000-2012 5.669936 23832.7032
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + phosphate_star 2.3695337 15527.0957 25.980709 1982-1999 –> 2000-2012 5.669936 23832.7032
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.3690161 15527.6102 26.199342 1982-1999 –> 2000-2012 5.651873 23818.2993
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.3690161 15527.6102 26.199342 1982-1999 –> 2000-2012 5.651873 23818.2993
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.3695337 15527.0957 25.980709 1982-1999 –> 2000-2012 5.669936 23832.7032
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3690161 15527.6102 26.199342 1982-1999 –> 2000-2012 5.651873 23818.2993
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.6599654 7728.4956 14.211802 2000-2012 –> 2013-2019 4.258945 23886.0873
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.6599654 7728.4956 14.211802 2000-2012 –> 2013-2019 4.258945 23886.0873
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6599654 7728.4956 14.211802 2000-2012 –> 2013-2019 4.258945 23886.0873
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen 1.8071486 8066.8193 15.798170 2000-2012 –> 2013-2019 4.005602 23084.3275
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.6802710 7777.2020 18.026672 2000-2012 –> 2013-2019 3.660864 22087.0781
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.6802710 7777.2020 18.026672 2000-2012 –> 2013-2019 3.660864 22087.0781
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.6841358 7786.4055 12.654244 2000-2012 –> 2013-2019 3.858530 22731.0893
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6802710 7777.2020 18.026672 2000-2012 –> 2013-2019 3.660864 22087.0781
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.9969835 8468.9687 20.686980 2000-2012 –> 2013-2019 4.366000 23996.5789
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.9969835 8468.9687 20.686980 2000-2012 –> 2013-2019 4.366000 23996.5789
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.1515062 21047.8371 25.117816 1982-1999 –> 2000-2012 4.998298 32135.2072
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.1515062 21047.8371 25.117816 1982-1999 –> 2000-2012 4.998298 32135.2072
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.1515062 21047.8371 25.117816 1982-1999 –> 2000-2012 4.998298 32135.2072
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6967916 23222.2987 48.887513 1982-1999 –> 2000-2012 5.544564 34311.2144
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate 2.6172957 22932.2773 38.114956 1982-1999 –> 2000-2012 5.465663 34020.1326
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate_star 2.6172957 22932.2773 38.114956 1982-1999 –> 2000-2012 5.465663 34020.1326
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.5894100 22831.1681 40.968127 1982-1999 –> 2000-2012 5.436634 33919.2199
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.5894100 22831.1681 40.968127 1982-1999 –> 2000-2012 5.436634 33919.2199
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.6172957 22932.2773 38.114956 1982-1999 –> 2000-2012 5.465663 34020.1326
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5894100 22831.1681 40.968127 1982-1999 –> 2000-2012 5.436634 33919.2199
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.4342982 10193.3933 14.899766 2000-2012 –> 2013-2019 4.111479 33345.4351
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.4342982 10193.3933 14.899766 2000-2012 –> 2013-2019 4.111479 33345.4351
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4342982 10193.3933 14.899766 2000-2012 –> 2013-2019 4.111479 33345.4351
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen 1.7407716 11299.0872 11.982342 2000-2012 –> 2013-2019 3.987961 32763.7728
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.6149761 10872.0397 14.997558 2000-2012 –> 2013-2019 3.766482 31919.8768
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.6149761 10872.0397 14.997558 2000-2012 –> 2013-2019 3.766482 31919.8768
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.5676648 10701.9667 8.389854 2000-2012 –> 2013-2019 3.662550 31493.0841
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6149761 10872.0397 14.997558 2000-2012 –> 2013-2019 3.766482 31919.8768
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4659378 10318.2008 14.862769 2000-2012 –> 2013-2019 4.162729 33540.4994
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.4885432 10405.7324 14.641734 2000-2012 –> 2013-2019 4.213505 33728.0622
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.9595083 35416.9654 45.631676 1982-1999 –> 2000-2012 4.026681 53595.8461
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.9595083 35416.9654 45.631676 1982-1999 –> 2000-2012 4.026681 53595.8461
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9595083 35416.9654 45.631676 1982-1999 –> 2000-2012 4.026681 53595.8461
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.4333591 30124.6636 13.284916 1982-1999 –> 2000-2012 3.398042 47872.9384
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9372342 35223.4622 41.591102 1982-1999 –> 2000-2012 4.069261 53663.9264
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9489696 35325.6877 41.728270 1982-1999 –> 2000-2012 4.145081 54016.9337
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate 1.7020373 33030.6396 33.647417 1982-1999 –> 2000-2012 3.808245 51365.9324
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.6911516 32924.0384 31.318718 1982-1999 –> 2000-2012 3.374594 49364.0888
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.6911516 32924.0384 31.318718 1982-1999 –> 2000-2012 3.374594 49364.0888
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6911516 32924.0384 31.318718 1982-1999 –> 2000-2012 3.374594 49364.0888
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1421943 15619.8039 13.786158 2000-2012 –> 2013-2019 3.101703 51036.7693
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1421943 15619.8039 13.786158 2000-2012 –> 2013-2019 3.101703 51036.7693
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1421943 15619.8039 13.786158 2000-2012 –> 2013-2019 3.101703 51036.7693
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.0373665 14651.7534 5.231439 2000-2012 –> 2013-2019 2.470726 44776.4170
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1541620 15724.6205 14.142020 2000-2012 –> 2013-2019 3.091396 50948.0827
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1567454 15747.1040 14.576246 2000-2012 –> 2013-2019 3.105715 51072.7917
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate 1.2210744 16289.3417 9.552478 2000-2012 –> 2013-2019 2.923112 49319.9813
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.2094610 16195.2438 6.513373 2000-2012 –> 2013-2019 2.900613 49119.2822
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.2094610 16195.2438 6.513373 2000-2012 –> 2013-2019 2.900613 49119.2822
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2094610 16195.2438 6.513373 2000-2012 –> 2013-2019 2.900613 49119.2822
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.9904747 19497.0976 15.972325 1982-1999 –> 2000-2012 2.728153 31619.9776
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.9904747 19497.0976 15.972325 1982-1999 –> 2000-2012 2.728153 31619.9776
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.0326834 20071.9953 10.358293 1982-1999 –> 2000-2012 2.783416 32238.8471
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.9904747 19497.0976 15.972325 1982-1999 –> 2000-2012 2.728153 31619.9776
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.0028438 19668.6631 12.788602 1982-1999 –> 2000-2012 2.728434 31748.6682
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9993275 19620.1071 15.534461 1982-1999 –> 2000-2012 2.749596 31787.3293
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.0067881 19722.9277 15.597304 1982-1999 –> 2000-2012 2.792248 32012.4174
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.1079891 21047.0121 26.852128 1982-1999 –> 2000-2012 2.558942 32062.3110
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.1079891 21047.0121 26.852128 1982-1999 –> 2000-2012 2.558942 32062.3110
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1079891 21047.0121 26.852128 1982-1999 –> 2000-2012 2.558942 32062.3110
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.7436026 11460.9467 6.595598 2000-2012 –> 2013-2019 1.734077 30958.0443
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.7436026 11460.9467 6.595598 2000-2012 –> 2013-2019 1.734077 30958.0443
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7436026 11460.9467 6.595598 2000-2012 –> 2013-2019 1.734077 30958.0443
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + silicate 0.7528137 11586.4709 6.011915 2000-2012 –> 2013-2019 1.755658 31255.1340
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7468443 11505.2994 6.934616 2000-2012 –> 2013-2019 1.746172 31125.4065
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.7478319 11518.7739 7.064242 2000-2012 –> 2013-2019 1.755765 31257.4122
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.7480621 11521.9113 7.086819 2000-2012 –> 2013-2019 1.754850 31244.8390
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.7480621 11521.9113 7.086819 2000-2012 –> 2013-2019 1.754850 31244.8390
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7480621 11521.9113 7.086819 2000-2012 –> 2013-2019 1.754850 31244.8390
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 0.7585775 11662.2373 6.480733 2000-2012 –> 2013-2019 1.781628 31604.6800
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.6679509 34458.5952 14.787325 1982-1999 –> 2000-2012 2.809889 52105.7231
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.6679509 34458.5952 14.787325 1982-1999 –> 2000-2012 2.809889 52105.7231
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6679509 34458.5952 14.787325 1982-1999 –> 2000-2012 2.809889 52105.7231
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate 1.6712708 34492.0722 14.096560 1982-1999 –> 2000-2012 2.865481 52645.8274
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6685180 34464.6601 14.786114 1982-1999 –> 2000-2012 2.811794 52125.0887
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6682465 34461.7565 14.779142 1982-1999 –> 2000-2012 2.810763 52114.6382
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.6681188 34460.3904 14.775524 1982-1999 –> 2000-2012 2.810260 52109.5396
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.6681188 34460.3904 14.775524 1982-1999 –> 2000-2012 2.810260 52109.5396
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6681188 34460.3904 14.775524 1982-1999 –> 2000-2012 2.810260 52109.5396
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.6874399 34663.8595 14.737380 1982-1999 –> 2000-2012 2.848713 52499.7873
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.4131007 15907.1122 14.575381 2000-2012 –> 2013-2019 3.081052 50365.7073
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.4131007 15907.1122 14.575381 2000-2012 –> 2013-2019 3.081052 50365.7073
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4131007 15907.1122 14.575381 2000-2012 –> 2013-2019 3.081052 50365.7073
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.4098792 15886.5574 13.962244 2000-2012 –> 2013-2019 3.076836 50334.5149
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.4098792 15886.5574 13.962244 2000-2012 –> 2013-2019 3.076836 50334.5149
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.4098792 15886.5574 13.962244 2000-2012 –> 2013-2019 3.076836 50334.5149
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4129667 15906.2583 14.542148 2000-2012 –> 2013-2019 3.081213 50368.0147
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.4126676 15904.3516 14.518307 2000-2012 –> 2013-2019 3.080786 50364.7420
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.4126676 15904.3516 14.518307 2000-2012 –> 2013-2019 3.080786 50364.7420
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4126676 15904.3516 14.518307 2000-2012 –> 2013-2019 3.080786 50364.7420

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")

Version Author Date
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
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
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
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] 6 6 5 5 10 10 7
(26,26.5] 7 5 7 6 8 10 7
(26.5,26.75] 10 6 7 6 4 10 4
(26.75,27] 7 5 6 7 8 10 7
(27,27.25] 10 6 7 6 10 4 4
(27.25,27.5] 10 6 7 6 10 4 4
(27.5,27.75] 10 6 7 6 10 4 4
(27.75,27.85] 10 6 7 6 10 4 4
(27.85,27.95] 7 6 7 6 10 7 7
(27.95,28.05] 7 6 7 6 10 7 7
(28.05,28.1] 8 5 7 6 10 7 6
(28.1,28.15] 5 5 7 6 10 10 5
(28.15,28.2] 6 5 6 6 10 10 5
(28.2, Inf] 6 5 6 6 10 10 5
total 109.00 78.00 93.00 84.00 130.00 107.00 76.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 7 6 6 5 9 10 7
(26,26.5] 7 5 5 5 10 10 7
(26.5,26.75] 8 5 7 6 7 10 7
(26.75,27] 7 4 6 6 10 10 5
(27,27.25] 9 5 7 5 10 7 6
(27.25,27.5] 10 6 7 6 10 4 4
(27.5,27.75] 10 6 7 6 10 4 4
(27.75,27.85] 7 4 7 6 10 9 6
(27.85,27.95] 8 5 8 5 10 7 6
(27.95,28.05] 8 6 7 5 10 7 6
(28.05,28.1] 4 6 7 6 10 10 4
(28.1,28.15] 5 5 8 5 10 4 10
(28.15,28.2] 7 6 6 6 10 8 7
(28.2, Inf] 7 5 7 5 10 9 6
total 104.00 74.00 95.00 77.00 136.00 109.00 85.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 7 6 6 6 10 8 7
(26,26.5] 6 5 6 6 10 9 7
(26.5,26.75] 6 4 6 7 10 9 7
(26.75,27] 10 5 8 5 10 4 5
(27,27.25] 7 4 7 6 10 6 9
(27.25,27.5] 7 5 6 6 10 6 9
(27.5,27.75] 7 5 6 7 8 10 7
(27.75,27.85] 10 6 7 7 4 4 9
(27.85,27.95] 10 6 7 6 4 4 10
(27.95,28.05] 9 6 6 5 6 10 7
(28.05,28.1] 9 6 7 4 7 10 6
(28.1, Inf] 5 5 6 6 10 10 6
total 93.00 63.00 78.00 71.00 99.00 90.00 89.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 6 4 6 7 10 9 7
(26,26.5] 6 5 6 6 9 10 7
(26.5,26.75] 6 5 6 6 10 9 7
(26.75,27] 10 6 7 6 10 4 4
(27,27.25] 8 5 7 6 10 6 7
(27.25,27.5] 10 6 7 6 10 4 4
(27.5,27.75] 7 5 6 6 9 10 6
(27.75,27.85] 10 7 6 5 8 6 7
(27.85,27.95] 9 7 5 5 10 6 7
(27.95,28.05] 9 7 6 4 6 10 7
(28.05,28.1] 6 5 5 6 10 10 7
(28.1, Inf] 7 6 6 7 10 7 7
total 94.00 68.00 73.00 70.00 112.00 91.00 77.00

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
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
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.3      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3.9000 GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.4.2  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.2.1          R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.9              readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.1.0           jsonlite_1.7.2          
[40] zip_2.1.1                car_3.0-10               magrittr_2.0.1          
[43] Matrix_1.2-18            Rcpp_1.0.5               munsell_0.5.0           
[46] fansi_0.4.1              abind_1.4-5              lifecycle_0.2.0         
[49] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[52] carData_3.0-4            plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.0
[67] data.table_1.13.4        modelr_0.1.8             vctrs_0.3.6             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.19               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.9.1      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_0.1