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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 3.0035750 11900.4612 16.424401 1982-1999 –> 2000-2012 4.668820 17868.9380
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate_star 3.0035750 11900.4612 16.424401 1982-1999 –> 2000-2012 4.668820 17868.9380
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.9695224 11848.6433 17.512809 1982-1999 –> 2000-2012 4.625445 17801.7831
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.9695224 11848.6433 17.512809 1982-1999 –> 2000-2012 4.625445 17801.7831
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.0035750 11900.4612 16.424401 1982-1999 –> 2000-2012 4.668820 17868.9380
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.9695224 11848.6433 17.512809 1982-1999 –> 2000-2012 4.625445 17801.7831
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.8759253 11697.4774 14.155935 1982-1999 –> 2000-2012 4.539823 17665.4538
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.8759253 11697.4774 14.155935 1982-1999 –> 2000-2012 4.539823 17665.4538
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.8759253 11697.4774 14.155935 1982-1999 –> 2000-2012 4.539823 17665.4538
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1601320 12142.2870 19.448362 1982-1999 –> 2000-2012 4.928821 18298.8655
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate 3.5417650 2963.9201 20.341892 2000-2012 –> 2013-2019 6.545340 14864.3813
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate_star 3.5417650 2963.9201 20.341892 2000-2012 –> 2013-2019 6.545340 14864.3813
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.5238444 2960.3402 19.466214 2000-2012 –> 2013-2019 6.493367 14808.9835
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.5238444 2960.3402 19.466214 2000-2012 –> 2013-2019 6.493367 14808.9835
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.5417650 2963.9201 20.341892 2000-2012 –> 2013-2019 6.545340 14864.3813
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5238444 2960.3402 19.466214 2000-2012 –> 2013-2019 6.493367 14808.9835
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.5260182 2961.0186 20.221984 2000-2012 –> 2013-2019 6.401943 14658.4960
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.5260182 2961.0186 20.221984 2000-2012 –> 2013-2019 6.401943 14658.4960
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.5260182 2961.0186 20.221984 2000-2012 –> 2013-2019 6.401943 14658.4960
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5337621 2963.4317 20.081235 2000-2012 –> 2013-2019 6.693894 15105.7187
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + phosphate 2.7567612 7792.7182 12.877090 1982-1999 –> 2000-2012 4.489651 10962.5591
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + phosphate_star 2.7567612 7792.7182 12.877090 1982-1999 –> 2000-2012 4.489651 10962.5591
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6283161 7642.1315 13.257195 1982-1999 –> 2000-2012 4.090142 10541.1256
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6283161 7642.1315 13.257195 1982-1999 –> 2000-2012 4.090142 10541.1256
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.7567612 7792.7182 12.877090 1982-1999 –> 2000-2012 4.489651 10962.5591
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6283161 7642.1315 13.257195 1982-1999 –> 2000-2012 4.090142 10541.1256
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.7217223 7753.8105 13.844975 1982-1999 –> 2000-2012 4.453951 10925.0397
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.7217223 7753.8105 13.844975 1982-1999 –> 2000-2012 4.453951 10925.0397
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7217223 7753.8105 13.844975 1982-1999 –> 2000-2012 4.453951 10925.0397
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6546713 7674.0395 12.561363 1982-1999 –> 2000-2012 4.109084 10564.8787
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.9404173 1587.4187 14.397406 2000-2012 –> 2013-2019 5.568733 9229.5503
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.9404173 1587.4187 14.397406 2000-2012 –> 2013-2019 5.568733 9229.5503
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2.9443485 1586.2604 14.383417 2000-2012 –> 2013-2019 5.880927 9581.0554
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.9404173 1587.4187 14.397406 2000-2012 –> 2013-2019 5.568733 9229.5503
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1606533 1632.9219 11.060079 2000-2012 –> 2013-2019 5.882376 9386.7324
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9381146 1586.9252 14.514972 2000-2012 –> 2013-2019 5.592786 9260.9647
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9648144 1592.6244 16.021461 2000-2012 –> 2013-2019 5.779059 9453.3407
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.9482903 1589.1033 15.660120 2000-2012 –> 2013-2019 5.725740 9407.7315
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.9482903 1589.1033 15.660120 2000-2012 –> 2013-2019 5.725740 9407.7315
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9482903 1589.1033 15.660120 2000-2012 –> 2013-2019 5.725740 9407.7315
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.0157348 19076.9521 35.711867 1982-1999 –> 2000-2012 7.552438 28816.3687
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.0157348 19076.9521 35.711867 1982-1999 –> 2000-2012 7.552438 28816.3687
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0157348 19076.9521 35.711867 1982-1999 –> 2000-2012 7.552438 28816.3687
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.9074835 18891.5125 32.892493 1982-1999 –> 2000-2012 7.577759 28765.3512
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.9074835 18891.5125 32.892493 1982-1999 –> 2000-2012 7.577759 28765.3512
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9074835 18891.5125 32.892493 1982-1999 –> 2000-2012 7.577759 28765.3512
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0462971 19128.4024 35.319465 1982-1999 –> 2000-2012 7.636694 28922.4546
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.1462304 19293.9633 34.956342 1982-1999 –> 2000-2012 7.896748 29246.2219
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.1462304 19293.9633 34.956342 1982-1999 –> 2000-2012 7.896748 29246.2219
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1462304 19293.9633 34.956342 1982-1999 –> 2000-2012 7.896748 29246.2219
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.7771025 3603.0609 20.205173 2000-2012 –> 2013-2019 5.792837 22680.0131
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.7771025 3603.0609 20.205173 2000-2012 –> 2013-2019 5.792837 22680.0131
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 1.8041757 3628.2762 19.092652 2000-2012 –> 2013-2019 5.935554 22895.8874
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7771025 3603.0609 20.205173 2000-2012 –> 2013-2019 5.792837 22680.0131
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.9972436 3813.2718 24.320942 2000-2012 –> 2013-2019 5.904727 22704.7843
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.9972436 3813.2718 24.320942 2000-2012 –> 2013-2019 5.904727 22704.7843
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.9972436 3813.2718 24.320942 2000-2012 –> 2013-2019 5.904727 22704.7843
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7820554 3608.0707 20.150164 2000-2012 –> 2013-2019 5.828353 22736.4731
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.8376930 3663.4091 20.226922 2000-2012 –> 2013-2019 5.983924 22957.3725
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8376930 3663.4091 20.226922 2000-2012 –> 2013-2019 5.983924 22957.3725
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.9706978 15483.8781 13.936462 1982-1999 –> 2000-2012 3.149211 23318.8457
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.9706978 15483.8781 13.936462 1982-1999 –> 2000-2012 3.149211 23318.8457
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9706978 15483.8781 13.936462 1982-1999 –> 2000-2012 3.149211 23318.8457
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.7028907 14406.5362 15.108277 1982-1999 –> 2000-2012 2.989125 22673.5843
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.7028907 14406.5362 15.108277 1982-1999 –> 2000-2012 2.989125 22673.5843
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.7028907 14406.5362 15.108277 1982-1999 –> 2000-2012 2.989125 22673.5843
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9815799 15524.4963 13.591216 1982-1999 –> 2000-2012 3.156264 23343.3909
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.0655233 15830.5202 14.054439 1982-1999 –> 2000-2012 3.283850 23829.6203
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.0655233 15830.5202 14.054439 1982-1999 –> 2000-2012 3.283850 23829.6203
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0655233 15830.5202 14.054439 1982-1999 –> 2000-2012 3.283850 23829.6203
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.3793497 3289.7164 11.707501 2000-2012 –> 2013-2019 3.350048 18773.5945
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.3793497 3289.7164 11.707501 2000-2012 –> 2013-2019 3.350048 18773.5945
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate 1.3808000 3289.6942 11.881389 2000-2012 –> 2013-2019 3.363383 18815.9235
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3793497 3289.7164 11.707501 2000-2012 –> 2013-2019 3.350048 18773.5945
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.4880805 3432.5129 16.260239 2000-2012 –> 2013-2019 3.190971 17839.0490
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.4880805 3432.5129 16.260239 2000-2012 –> 2013-2019 3.190971 17839.0490
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.4880805 3432.5129 16.260239 2000-2012 –> 2013-2019 3.190971 17839.0490
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3747132 3283.3797 11.401895 2000-2012 –> 2013-2019 3.356293 18807.8759
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.4357301 3365.1119 12.135661 2000-2012 –> 2013-2019 3.501253 19195.6321
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4357301 3365.1119 12.135661 2000-2012 –> 2013-2019 3.501253 19195.6321
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.6475255 10637.0635 17.574406 1982-1999 –> 2000-2012 2.762537 15503.3663
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.6475255 10637.0635 17.574406 1982-1999 –> 2000-2012 2.762537 15503.3663
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.6569841 10666.7669 15.188852 1982-1999 –> 2000-2012 2.805139 15624.1000
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6475255 10637.0635 17.574406 1982-1999 –> 2000-2012 2.762537 15503.3663
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.6249118 10560.5234 13.738359 1982-1999 –> 2000-2012 2.789988 15566.3223
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.6249118 10560.5234 13.738359 1982-1999 –> 2000-2012 2.789988 15566.3223
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6249118 10560.5234 13.738359 1982-1999 –> 2000-2012 2.789988 15566.3223
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6393791 10609.6124 18.197982 1982-1999 –> 2000-2012 2.762659 15499.3792
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.6637897 10691.4660 19.215661 1982-1999 –> 2000-2012 2.812894 15653.4244
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6637897 10691.4660 19.215661 1982-1999 –> 2000-2012 2.812894 15653.4244
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.4400473 2764.3336 5.734632 2000-2012 –> 2013-2019 3.087573 13401.3971
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.4400473 2764.3336 5.734632 2000-2012 –> 2013-2019 3.087573 13401.3971
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4400473 2764.3336 5.734632 2000-2012 –> 2013-2019 3.087573 13401.3971
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate 1.4403366 2762.6433 5.872741 2000-2012 –> 2013-2019 3.121551 13509.8069
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1.4403366 2762.6433 5.872741 2000-2012 –> 2013-2019 3.121551 13509.8069
Atlantic (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.4403366 2762.6433 5.872741 2000-2012 –> 2013-2019 3.121551 13509.8069
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4106550 2732.5347 6.238839 2000-2012 –> 2013-2019 3.050034 13342.1471
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.4363184 2760.3355 6.426859 2000-2012 –> 2013-2019 3.100108 13451.8015
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.4363184 2760.3355 6.426859 2000-2012 –> 2013-2019 3.100108 13451.8015
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4363184 2760.3355 6.426859 2000-2012 –> 2013-2019 3.100108 13451.8015
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1441018 7915.3979 12.696820 1982-1999 –> 2000-2012 1.966339 10909.1423
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1441018 7915.3979 12.696820 1982-1999 –> 2000-2012 1.966339 10909.1423
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1441018 7915.3979 12.696820 1982-1999 –> 2000-2012 1.966339 10909.1423
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + silicate + phosphate 1.1473416 7927.7797 12.740728 1982-1999 –> 2000-2012 1.986473 10969.0703
Atlantic (28.1,28.15] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.1473416 7927.7797 12.740728 1982-1999 –> 2000-2012 1.986473 10969.0703
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1370366 7883.8929 12.848915 1982-1999 –> 2000-2012 1.958735 10876.0422
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1498935 7941.0795 12.589344 1982-1999 –> 2000-2012 1.979897 10957.7255
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1418167 7905.2298 12.734039 1982-1999 –> 2000-2012 1.966121 10905.0908
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.1418167 7905.2298 12.734039 1982-1999 –> 2000-2012 1.966121 10905.0908
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1418167 7905.2298 12.734039 1982-1999 –> 2000-2012 1.966121 10905.0908
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.8824152 1615.7812 3.877141 2000-2012 –> 2013-2019 2.037128 9578.1327
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.8824152 1615.7812 3.877141 2000-2012 –> 2013-2019 2.037128 9578.1327
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 0.9086405 1650.0384 4.772788 2000-2012 –> 2013-2019 2.066295 9623.3278
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8824152 1615.7812 3.877141 2000-2012 –> 2013-2019 2.037128 9578.1327
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9086057 1651.9909 4.797841 2000-2012 –> 2013-2019 2.045642 9535.8839
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + phosphate 0.9131449 1656.1603 4.845112 2000-2012 –> 2013-2019 2.067938 9616.8657
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.9127503 1657.6253 4.920878 2000-2012 –> 2013-2019 2.054567 9562.8551
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.9127503 1657.6253 4.920878 2000-2012 –> 2013-2019 2.054567 9562.8551
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.9131449 1656.1603 4.845112 2000-2012 –> 2013-2019 2.067938 9616.8657
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9127503 1657.6253 4.920878 2000-2012 –> 2013-2019 2.054567 9562.8551
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1835533 3414.3387 16.881914 1982-1999 –> 2000-2012 1.645968 3908.8909
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1835533 3414.3387 16.881914 1982-1999 –> 2000-2012 1.645968 3908.8909
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate 1.2065452 3453.5505 14.684288 1982-1999 –> 2000-2012 1.673171 3952.8302
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1835533 3414.3387 16.881914 1982-1999 –> 2000-2012 1.645968 3908.8909
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1.1962994 3435.2833 18.314000 1982-1999 –> 2000-2012 1.749677 4061.0830
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1808403 3409.4231 17.275423 1982-1999 –> 2000-2012 1.644098 3905.3275
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1926643 3430.7647 16.446956 1982-1999 –> 2000-2012 1.674919 3956.4886
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1865809 3419.8110 16.837602 1982-1999 –> 2000-2012 1.657167 3927.3607
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.1865809 3419.8110 16.837602 1982-1999 –> 2000-2012 1.657167 3927.3607
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1865809 3419.8110 16.837602 1982-1999 –> 2000-2012 1.657167 3927.3607
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.4007003 174.3982 1.233841 2000-2012 –> 2013-2019 1.584253 3588.7369
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.4007003 174.3982 1.233841 2000-2012 –> 2013-2019 1.584253 3588.7369
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4007003 174.3982 1.233841 2000-2012 –> 2013-2019 1.584253 3588.7369
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.4729159 227.0921 2.036255 2000-2012 –> 2013-2019 1.691087 3703.1841
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.4729159 227.0921 2.036255 2000-2012 –> 2013-2019 1.691087 3703.1841
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.3993029 173.2873 1.238822 2000-2012 –> 2013-2019 1.580143 3582.7104
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.3977573 172.0541 1.260787 2000-2012 –> 2013-2019 1.590422 3602.8188
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.3978405 172.1206 1.260312 2000-2012 –> 2013-2019 1.584421 3591.9316
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.3978405 172.1206 1.260312 2000-2012 –> 2013-2019 1.584421 3591.9316
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.3978405 172.1206 1.260312 2000-2012 –> 2013-2019 1.584421 3591.9316
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.0519902 7241.6026 23.135306 1982-1999 –> 2000-2012 2.045348 9258.2079
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.0519902 7241.6026 23.135306 1982-1999 –> 2000-2012 2.045348 9258.2079
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.1064727 7487.9291 23.910269 1982-1999 –> 2000-2012 2.100747 9503.8414
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0519902 7241.6026 23.135306 1982-1999 –> 2000-2012 2.045348 9258.2079
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1.6639472 9494.5490 25.500252 1982-1999 –> 2000-2012 2.766509 11657.0516
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0369298 7170.6871 22.834621 1982-1999 –> 2000-2012 2.029315 9185.9032
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.9628000 6805.9002 21.770052 1982-1999 –> 2000-2012 1.933666 8790.0291
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.9838587 6912.3094 22.088694 1982-1999 –> 2000-2012 1.967001 8914.2555
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.9838587 6912.3094 22.088694 1982-1999 –> 2000-2012 1.967001 8914.2555
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9838587 6912.3094 22.088694 1982-1999 –> 2000-2012 1.967001 8914.2555
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.3503714 248.6923 1.455610 2000-2012 –> 2013-2019 1.402362 7490.2949
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.3503714 248.6923 1.455610 2000-2012 –> 2013-2019 1.402362 7490.2949
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 0.4744150 438.8505 3.097598 2000-2012 –> 2013-2019 1.580888 7926.7796
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3503714 248.6923 1.455610 2000-2012 –> 2013-2019 1.402362 7490.2949
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.5665555 553.3808 2.993348 2000-2012 –> 2013-2019 1.913623 9010.9383
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.3590648 264.2310 1.565864 2000-2012 –> 2013-2019 1.395995 7434.9181
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.3447091 238.3625 1.220896 2000-2012 –> 2013-2019 1.307509 7044.2627
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.3458607 240.4771 1.331758 2000-2012 –> 2013-2019 1.329719 7152.7865
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.3458607 240.4771 1.331758 2000-2012 –> 2013-2019 1.329719 7152.7865
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.3458607 240.4771 1.331758 2000-2012 –> 2013-2019 1.329719 7152.7865
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 3.9743919 31119.9775 58.413884 1982-1999 –> 2000-2012 7.582511 46146.9845
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.9609725 31082.3880 47.347093 1982-1999 –> 2000-2012 7.555315 46088.1412
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.9609725 31082.3880 47.347093 1982-1999 –> 2000-2012 7.555315 46088.1412
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate 3.9634020 31087.2028 47.693670 1982-1999 –> 2000-2012 7.573943 46115.9382
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9609725 31082.3880 47.347093 1982-1999 –> 2000-2012 7.555315 46088.1412
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9129090 30946.7030 47.387577 1982-1999 –> 2000-2012 7.364983 45728.0714
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9709425 31110.3276 47.879311 1982-1999 –> 2000-2012 7.554570 46099.4928
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.9679222 31101.8709 47.894281 1982-1999 –> 2000-2012 7.564592 46111.2200
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.9679222 31101.8709 47.894281 1982-1999 –> 2000-2012 7.564592 46111.2200
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9679222 31101.8709 47.894281 1982-1999 –> 2000-2012 7.564592 46111.2200
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.6661760 16398.6326 32.639898 2000-2012 –> 2013-2019 7.640568 47518.6101
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.6661760 16398.6326 32.639898 2000-2012 –> 2013-2019 7.640568 47518.6101
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6661760 16398.6326 32.639898 2000-2012 –> 2013-2019 7.640568 47518.6101
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.6650067 16396.7096 31.207699 2000-2012 –> 2013-2019 7.625979 47479.0976
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 47479.0976
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate 3.7060045 16461.7662 33.133774 2000-2012 –> 2013-2019 7.669407 47548.9691
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 47479.0976
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6849106 16429.3580 33.085123 2000-2012 –> 2013-2019 7.597820 47376.0610
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.7027943 16458.5424 33.283448 2000-2012 –> 2013-2019 7.670717 47560.4133
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7027943 16458.5424 33.283448 2000-2012 –> 2013-2019 7.670717 47560.4133
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.1828662 29945.1871 61.204286 1982-1999 –> 2000-2012 6.431636 46529.4192
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.1834326 29947.2539 59.233916 1982-1999 –> 2000-2012 6.367594 46403.3269
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.1834326 29947.2539 59.233916 1982-1999 –> 2000-2012 6.367594 46403.3269
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 3.2025421 30014.7739 45.950390 1982-1999 –> 2000-2012 6.391185 46477.8199
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1834326 29947.2539 59.233916 1982-1999 –> 2000-2012 6.367594 46403.3269
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1977260 29999.2923 49.725257 1982-1999 –> 2000-2012 6.304850 46299.1095
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2399894 30151.8118 40.835810 1982-1999 –> 2000-2012 6.380894 46520.6181
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.2365819 30139.5890 42.086830 1982-1999 –> 2000-2012 6.384329 46522.2803
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.2365819 30139.5890 42.086830 1982-1999 –> 2000-2012 6.384329 46522.2803
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.2365819 30139.5890 42.086830 1982-1999 –> 2000-2012 6.384329 46522.2803
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate 2.5803692 16414.4162 20.257558 2000-2012 –> 2013-2019 5.763884 46359.9706
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate_star 2.5803692 16414.4162 20.257558 2000-2012 –> 2013-2019 5.763884 46359.9706
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.5747114 16401.2046 20.061344 2000-2012 –> 2013-2019 5.757578 46346.3917
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.5747114 16401.2046 20.061344 2000-2012 –> 2013-2019 5.757578 46346.3917
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.5803692 16414.4162 20.257558 2000-2012 –> 2013-2019 5.763884 46359.9706
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5747114 16401.2046 20.061344 2000-2012 –> 2013-2019 5.757578 46346.3917
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.4957842 16185.4428 15.860240 2000-2012 –> 2013-2019 5.679217 46132.6966
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.4957842 16185.4428 15.860240 2000-2012 –> 2013-2019 5.679217 46132.6966
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.4957842 16185.4428 15.860240 2000-2012 –> 2013-2019 5.679217 46132.6966
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5854509 16430.0505 20.338992 2000-2012 –> 2013-2019 5.783177 46429.3428
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.6380638 40242.9743 30.630285 1982-1999 –> 2000-2012 8.003098 58657.2873
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.6380638 40242.9743 30.630285 1982-1999 –> 2000-2012 8.003098 58657.2873
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.6380638 40242.9743 30.630285 1982-1999 –> 2000-2012 8.003098 58657.2873
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6376436 40241.7400 31.369078 1982-1999 –> 2000-2012 7.871200 58377.4628
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6366507 40238.8236 30.781003 1982-1999 –> 2000-2012 7.910794 58461.7374
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.6361970 40237.4904 31.103392 1982-1999 –> 2000-2012 7.920861 58482.8287
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.6361970 40237.4904 31.103392 1982-1999 –> 2000-2012 7.920861 58482.8287
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6361970 40237.4904 31.103392 1982-1999 –> 2000-2012 7.920861 58482.8287
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 5.2760182 41998.5053 32.365729 1982-1999 –> 2000-2012 8.549974 60221.0182
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5.2760182 41998.5053 32.365729 1982-1999 –> 2000-2012 8.549974 60221.0182
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 6.1587500 30569.5088 53.714352 2000-2012 –> 2013-2019 10.796814 70812.4831
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 6.1587500 30569.5088 53.714352 2000-2012 –> 2013-2019 10.796814 70812.4831
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.1587500 30569.5088 53.714352 2000-2012 –> 2013-2019 10.796814 70812.4831
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 6.3536282 30861.5854 44.522657 2000-2012 –> 2013-2019 11.008494 71151.8180
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.2909311 30769.9695 54.114436 2000-2012 –> 2013-2019 10.928575 71011.7095
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.2191280 30661.6042 52.920690 2000-2012 –> 2013-2019 10.855779 70900.4278
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 6.2620352 30726.5093 53.250402 2000-2012 –> 2013-2019 10.898232 70963.9997
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 6.2620352 30726.5093 53.250402 2000-2012 –> 2013-2019 10.898232 70963.9997
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.2620352 30726.5093 53.250402 2000-2012 –> 2013-2019 10.898232 70963.9997
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 6.0755066 30441.0449 42.236825 2000-2012 –> 2013-2019 11.351525 72439.5502
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5999396 16160.1018 40.813540 1982-1999 –> 2000-2012 5.801902 24371.5990
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.9812699 14312.2004 23.220432 1982-1999 –> 2000-2012 5.155880 22496.4675
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.9812699 14312.2004 23.220432 1982-1999 –> 2000-2012 5.155880 22496.4675
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.9812699 14312.2004 23.220432 1982-1999 –> 2000-2012 5.155880 22496.4675
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + phosphate 2.3703568 15529.4575 25.986327 1982-1999 –> 2000-2012 5.671274 23835.5600
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + phosphate_star 2.3703568 15529.4575 25.986327 1982-1999 –> 2000-2012 5.671274 23835.5600
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.3698301 15529.9462 26.206920 1982-1999 –> 2000-2012 5.653193 23821.1242
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.3698301 15529.9462 26.206920 1982-1999 –> 2000-2012 5.653193 23821.1242
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.3703568 15529.4575 25.986327 1982-1999 –> 2000-2012 5.671274 23835.5600
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3698301 15529.9462 26.206920 1982-1999 –> 2000-2012 5.653193 23821.1242
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.6602975 7729.2969 14.217315 2000-2012 –> 2013-2019 4.260237 23889.3987
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.6602975 7729.2969 14.217315 2000-2012 –> 2013-2019 4.260237 23889.3987
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6602975 7729.2969 14.217315 2000-2012 –> 2013-2019 4.260237 23889.3987
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen 1.8071001 8066.7117 15.804339 2000-2012 –> 2013-2019 4.006012 23085.6390
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.6804455 7777.6178 18.030922 2000-2012 –> 2013-2019 3.661715 22089.8182
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.6804455 7777.6178 18.030922 2000-2012 –> 2013-2019 3.661715 22089.8182
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.6842160 7786.5963 12.662044 2000-2012 –> 2013-2019 3.859120 22732.8745
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6804455 7777.6178 18.030922 2000-2012 –> 2013-2019 3.661715 22089.8182
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.9973589 8469.7217 20.693777 2000-2012 –> 2013-2019 4.367189 23999.6679
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.9973589 8469.7217 20.693777 2000-2012 –> 2013-2019 4.367189 23999.6679
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.1509007 21045.1275 25.115162 1982-1999 –> 2000-2012 4.997711 32132.5259
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.1509007 21045.1275 25.115162 1982-1999 –> 2000-2012 4.997711 32132.5259
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.1509007 21045.1275 25.115162 1982-1999 –> 2000-2012 4.997711 32132.5259
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6962672 23220.4267 48.882781 1982-1999 –> 2000-2012 5.544059 34309.3734
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate 2.6166628 22929.9494 38.110782 1982-1999 –> 2000-2012 5.465048 34017.8321
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate_star 2.6166628 22929.9494 38.110782 1982-1999 –> 2000-2012 5.465048 34017.8321
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.5887968 22828.8882 40.962606 1982-1999 –> 2000-2012 5.436031 33916.9548
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.5887968 22828.8882 40.962606 1982-1999 –> 2000-2012 5.436031 33916.9548
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.6166628 22929.9494 38.110782 1982-1999 –> 2000-2012 5.465048 34017.8321
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5887968 22828.8882 40.962606 1982-1999 –> 2000-2012 5.436031 33916.9548
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.4350272 10196.2999 14.900136 2000-2012 –> 2013-2019 4.111681 33346.4465
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.4350272 10196.2999 14.900136 2000-2012 –> 2013-2019 4.111681 33346.4465
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4350272 10196.2999 14.900136 2000-2012 –> 2013-2019 4.111681 33346.4465
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen 1.7410954 11300.1509 11.984770 2000-2012 –> 2013-2019 3.987700 32762.3306
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.6153691 10873.4316 14.996507 2000-2012 –> 2013-2019 3.766270 31918.5591
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.6153691 10873.4316 14.996507 2000-2012 –> 2013-2019 3.766270 31918.5591
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.5682032 10703.9310 8.394042 2000-2012 –> 2013-2019 3.662564 31492.6375
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6153691 10873.4316 14.996507 2000-2012 –> 2013-2019 3.766270 31918.5591
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4666698 10321.0561 14.863189 2000-2012 –> 2013-2019 4.162937 33541.4828
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.4892701 10408.5251 14.642080 2000-2012 –> 2013-2019 4.213717 33729.0354
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.9582260 35405.8849 45.621134 1982-1999 –> 2000-2012 4.024773 53582.2024
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.9582260 35405.8849 45.621134 1982-1999 –> 2000-2012 4.024773 53582.2024
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9582260 35405.8849 45.621134 1982-1999 –> 2000-2012 4.024773 53582.2024
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.4319815 30108.3886 13.287819 1982-1999 –> 2000-2012 3.396145 47854.4215
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9359224 35211.9970 41.580768 1982-1999 –> 2000-2012 4.067317 53649.9516
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9476521 35314.2419 41.717709 1982-1999 –> 2000-2012 4.143127 54003.0361
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate 1.7006538 33016.8760 33.647586 1982-1999 –> 2000-2012 3.806409 51350.3482
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.6897890 32910.3957 31.322067 1982-1999 –> 2000-2012 3.372860 49348.5772
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.6897890 32910.3957 31.322067 1982-1999 –> 2000-2012 3.372860 49348.5772
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6897890 32910.3957 31.322067 1982-1999 –> 2000-2012 3.372860 49348.5772
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1428294 15625.3938 13.784992 2000-2012 –> 2013-2019 3.101055 51031.2788
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1428294 15625.3938 13.784992 2000-2012 –> 2013-2019 3.101055 51031.2788
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1428294 15625.3938 13.784992 2000-2012 –> 2013-2019 3.101055 51031.2788
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.0380574 14658.4483 5.230771 2000-2012 –> 2013-2019 2.470039 44766.8369
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1547979 15730.1593 14.141151 2000-2012 –> 2013-2019 3.090720 50942.1563
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1573842 15752.6556 14.575682 2000-2012 –> 2013-2019 3.105036 51066.8975
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate 1.2217585 16294.9742 9.556834 2000-2012 –> 2013-2019 2.922412 49311.8502
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.2101549 16201.0117 6.513745 2000-2012 –> 2013-2019 2.899944 49111.4075
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.2101549 16201.0117 6.513745 2000-2012 –> 2013-2019 2.899944 49111.4075
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2101549 16201.0117 6.513745 2000-2012 –> 2013-2019 2.899944 49111.4075
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.9903502 19495.3595 15.974609 1982-1999 –> 2000-2012 2.727713 31617.1274
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.9903502 19495.3595 15.974609 1982-1999 –> 2000-2012 2.727713 31617.1274
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.0325220 20069.8345 10.363427 1982-1999 –> 2000-2012 2.782942 32235.5880
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.9903502 19495.3595 15.974609 1982-1999 –> 2000-2012 2.727713 31617.1274
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.0026004 19665.3080 12.791259 1982-1999 –> 2000-2012 2.728093 31744.9678
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9991971 19618.3021 15.536823 1982-1999 –> 2000-2012 2.749151 31784.4214
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.0066520 19721.0593 15.599607 1982-1999 –> 2000-2012 2.791799 32009.4718
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.1079041 21045.9515 26.851191 1982-1999 –> 2000-2012 2.558785 32060.9453
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.1079041 21045.9515 26.851191 1982-1999 –> 2000-2012 2.558785 32060.9453
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1079041 21045.9515 26.851191 1982-1999 –> 2000-2012 2.558785 32060.9453
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.7435706 11460.5080 6.594804 2000-2012 –> 2013-2019 1.733921 30955.8675
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.7435706 11460.5080 6.594804 2000-2012 –> 2013-2019 1.733921 30955.8675
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7435706 11460.5080 6.594804 2000-2012 –> 2013-2019 1.733921 30955.8675
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + silicate 0.7527575 11585.7101 6.007088 2000-2012 –> 2013-2019 1.755358 31251.0181
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7468119 11504.8580 6.933750 2000-2012 –> 2013-2019 1.746009 31123.1601
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.7477990 11518.3251 7.063296 2000-2012 –> 2013-2019 1.755592 31255.0454
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.7480294 11521.4666 7.085909 2000-2012 –> 2013-2019 1.754682 31242.5259
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.7480294 11521.4666 7.085909 2000-2012 –> 2013-2019 1.754682 31242.5259
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7480294 11521.4666 7.085909 2000-2012 –> 2013-2019 1.754682 31242.5259
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 0.7585715 11662.1564 6.479065 2000-2012 –> 2013-2019 1.781389 31601.4493
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.6679265 34458.3342 14.787414 1982-1999 –> 2000-2012 2.809719 52104.0113
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.6679265 34458.3342 14.787414 1982-1999 –> 2000-2012 2.809719 52104.0113
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6679265 34458.3342 14.787414 1982-1999 –> 2000-2012 2.809719 52104.0113
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate 1.6712462 34491.8097 14.096674 1982-1999 –> 2000-2012 2.865290 52643.9803
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6684931 34464.3932 14.786221 1982-1999 –> 2000-2012 2.811626 52123.4043
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6682218 34461.4926 14.779250 1982-1999 –> 2000-2012 2.810586 52112.8597
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.6680942 34460.1275 14.775631 1982-1999 –> 2000-2012 2.810085 52107.7737
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.6680942 34460.1275 14.775631 1982-1999 –> 2000-2012 2.810085 52107.7737
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6680942 34460.1275 14.775631 1982-1999 –> 2000-2012 2.810085 52107.7737
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.6874245 34663.6961 14.737478 1982-1999 –> 2000-2012 2.848516 52497.8469
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.4131059 15907.1458 14.575067 2000-2012 –> 2013-2019 3.081033 50365.4799
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.4131059 15907.1458 14.575067 2000-2012 –> 2013-2019 3.081033 50365.4799
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4131059 15907.1458 14.575067 2000-2012 –> 2013-2019 3.081033 50365.4799
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.4098844 15886.5906 13.961992 2000-2012 –> 2013-2019 3.076819 50334.3108
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.4098844 15886.5906 13.961992 2000-2012 –> 2013-2019 3.076819 50334.3108
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.4098844 15886.5906 13.961992 2000-2012 –> 2013-2019 3.076819 50334.3108
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4129719 15906.2915 14.541828 2000-2012 –> 2013-2019 3.081194 50367.7841
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.4126728 15904.3849 14.517988 2000-2012 –> 2013-2019 3.080767 50364.5124
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.4126728 15904.3849 14.517988 2000-2012 –> 2013-2019 3.080767 50364.5124
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4126728 15904.3849 14.517988 2000-2012 –> 2013-2019 3.080767 50364.5124

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
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

Version Author Date
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Version Author Date
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou oxygen phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 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 5 8 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 73.00 96.00 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 8 5 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 74.00 69.00 112.00 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
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.2      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3.9000 GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_1.4-1         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.1.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.9              readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.0.2           jsonlite_1.7.1          
[40] zip_2.1.1                car_3.0-10               magrittr_1.5            
[43] Matrix_1.2-18            Rcpp_1.0.5               munsell_0.5.0           
[46] fansi_0.4.1              abind_1.4-5              lifecycle_0.2.0         
[49] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[52] carData_3.0-4            plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.0
[67] data.table_1.13.2        modelr_0.1.8             vctrs_0.3.5             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.18               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.7.0      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_0.1