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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# 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 2.8981666 371.5544 8.478200 1982-1999 –> 2000-2012 5.657576 726.3081
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.8981666 371.5544 8.478200 1982-1999 –> 2000-2012 5.657576 726.3081
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.8981666 371.5544 8.478200 1982-1999 –> 2000-2012 5.657576 726.3081
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + silicate 3.0191083 377.4416 9.207436 1982-1999 –> 2000-2012 6.527486 765.8145
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9262893 372.9450 8.572299 1982-1999 –> 2000-2012 5.877606 737.1116
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9312957 373.1912 8.596086 1982-1999 –> 2000-2012 5.921446 739.1879
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate 3.0191136 375.4419 9.209618 1982-1999 –> 2000-2012 6.581450 763.9516
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.9362495 373.4343 8.601897 1982-1999 –> 2000-2012 5.941214 740.1229
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.9362495 373.4343 8.601897 1982-1999 –> 2000-2012 5.941214 740.1229
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9362495 373.4343 8.601897 1982-1999 –> 2000-2012 5.941214 740.1229
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.3925172 294.0083 6.794630 2000-2012 –> 2013-2019 4.290684 665.5627
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.3925172 294.0083 6.794630 2000-2012 –> 2013-2019 4.290684 665.5627
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3925172 294.0083 6.794630 2000-2012 –> 2013-2019 4.290684 665.5627
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.0100569 242.6312 3.599156 2000-2012 –> 2013-2019 4.029165 620.0728
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3562104 289.7813 6.420562 2000-2012 –> 2013-2019 4.282500 662.7263
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3311819 286.8009 6.313056 2000-2012 –> 2013-2019 4.262478 659.9921
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.3176569 285.1670 6.301290 2000-2012 –> 2013-2019 4.253907 658.6013
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.3176569 285.1670 6.301290 2000-2012 –> 2013-2019 4.253907 658.6013
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3176569 285.1670 6.301290 2000-2012 –> 2013-2019 4.253907 658.6013
Atlantic (-Inf,26] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.6263281 318.8421 4.550975 2000-2012 –> 2013-2019 4.805206 703.7093
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.3139211 3536.5771 14.442388 1982-1999 –> 2000-2012 6.511093 5832.3624
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.3139211 3536.5771 14.442388 1982-1999 –> 2000-2012 6.511093 5832.3624
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3139211 3536.5771 14.442388 1982-1999 –> 2000-2012 6.511093 5832.3624
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3951034 3569.1531 14.567484 1982-1999 –> 2000-2012 6.721272 5899.9047
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.4143905 3576.7779 14.552380 1982-1999 –> 2000-2012 6.772606 5916.0058
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.4302881 3583.0304 14.500415 1982-1999 –> 2000-2012 6.807497 5927.2439
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.4302881 3583.0304 14.500415 1982-1999 –> 2000-2012 6.807497 5927.2439
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4302881 3583.0304 14.500415 1982-1999 –> 2000-2012 6.807497 5927.2439
Atlantic (26,26.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.3950685 3569.1393 16.596606 1982-1999 –> 2000-2012 6.963536 5962.0495
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3950685 3569.1393 16.596606 1982-1999 –> 2000-2012 6.963536 5962.0495
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6190119 966.6943 9.987742 2000-2012 –> 2013-2019 5.932933 4503.2713
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6190119 966.6943 9.987742 2000-2012 –> 2013-2019 5.932933 4503.2713
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6190119 966.6943 9.987742 2000-2012 –> 2013-2019 5.932933 4503.2713
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + oxygen + silicate 2.6138368 965.9031 9.605089 2000-2012 –> 2013-2019 6.240581 4623.8937
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate 2.6300663 966.3790 10.163501 2000-2012 –> 2013-2019 6.291743 4635.2721
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5983388 963.5243 9.602564 2000-2012 –> 2013-2019 5.993442 4532.6775
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5981820 963.5002 9.588377 2000-2012 –> 2013-2019 6.012572 4540.2781
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.5981986 963.5028 9.590986 2000-2012 –> 2013-2019 6.028487 4546.5332
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.5981986 963.5028 9.590986 2000-2012 –> 2013-2019 6.028487 4546.5332
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.5981986 963.5028 9.590986 2000-2012 –> 2013-2019 6.028487 4546.5332
Atlantic (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate 4.0199784 5463.8172 18.322929 1982-1999 –> 2000-2012 6.814405 8783.5738
Atlantic (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate_star 4.0199784 5463.8172 18.322929 1982-1999 –> 2000-2012 6.814405 8783.5738
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.0199784 5463.8172 18.322929 1982-1999 –> 2000-2012 6.814405 8783.5738
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.9189990 5416.4631 16.144393 1982-1999 –> 2000-2012 6.713152 8738.0873
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.9189990 5416.4631 16.144393 1982-1999 –> 2000-2012 6.713152 8738.0873
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9189990 5416.4631 16.144393 1982-1999 –> 2000-2012 6.713152 8738.0873
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9311401 5422.4639 16.669414 1982-1999 –> 2000-2012 6.803750 8781.5277
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.9015340 5407.7982 21.281994 1982-1999 –> 2000-2012 6.600828 8682.7258
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.9015340 5407.7982 21.281994 1982-1999 –> 2000-2012 6.600828 8682.7258
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9015340 5407.7982 21.281994 1982-1999 –> 2000-2012 6.600828 8682.7258
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.7418603 1210.0980 13.800475 2000-2012 –> 2013-2019 8.660859 6626.5611
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.7418603 1210.0980 13.800475 2000-2012 –> 2013-2019 8.660859 6626.5611
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.7418603 1210.0980 13.800475 2000-2012 –> 2013-2019 8.660859 6626.5611
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.7011513 1206.6319 13.238065 2000-2012 –> 2013-2019 8.632291 6629.0958
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.7159632 1207.8965 13.602229 2000-2012 –> 2013-2019 8.675060 6644.1080
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.7196477 1208.2104 13.606627 2000-2012 –> 2013-2019 8.691367 6650.5974
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7196477 1208.2104 13.606627 2000-2012 –> 2013-2019 8.691367 6650.5974
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.3703309 1177.2985 13.704893 2000-2012 –> 2013-2019 8.271865 6585.0967
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.3703309 1177.2985 13.704893 2000-2012 –> 2013-2019 8.271865 6585.0967
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.3703309 1177.2985 13.704893 2000-2012 –> 2013-2019 8.271865 6585.0967
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.8993859 5482.5294 12.413166 1982-1999 –> 2000-2012 4.893752 8740.5784
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.8993859 5482.5294 12.413166 1982-1999 –> 2000-2012 4.893752 8740.5784
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.8993859 5482.5294 12.413166 1982-1999 –> 2000-2012 4.893752 8740.5784
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.8553202 5448.8058 12.512340 1982-1999 –> 2000-2012 5.114064 8898.3091
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9973264 5555.6836 15.151333 1982-1999 –> 2000-2012 5.474180 9146.9601
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.0264586 5576.9824 15.730044 1982-1999 –> 2000-2012 5.565774 9206.5636
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.0264586 5576.9824 15.730044 1982-1999 –> 2000-2012 5.565774 9206.5636
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0264586 5576.9824 15.730044 1982-1999 –> 2000-2012 5.565774 9206.5636
Atlantic (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.6220456 5972.5624 26.564388 1982-1999 –> 2000-2012 5.610060 9225.7058
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.6220456 5972.5624 26.564388 1982-1999 –> 2000-2012 5.610060 9225.7058
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6322075 1493.7920 12.909510 2000-2012 –> 2013-2019 5.531593 6976.3214
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6322075 1493.7920 12.909510 2000-2012 –> 2013-2019 5.531593 6976.3214
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.6786117 1502.6270 13.908205 2000-2012 –> 2013-2019 5.592328 6994.0135
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6322075 1493.7920 12.909510 2000-2012 –> 2013-2019 5.531593 6976.3214
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 2.7167096 1511.3832 11.720088 2000-2012 –> 2013-2019 5.791248 7121.0725
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6001359 1486.1914 12.331855 2000-2012 –> 2013-2019 5.455456 6934.9971
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6651286 1501.4983 12.869335 2000-2012 –> 2013-2019 5.662455 7057.1819
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.6769020 1504.2312 12.905898 2000-2012 –> 2013-2019 5.703361 7081.2136
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.6769020 1504.2312 12.905898 2000-2012 –> 2013-2019 5.703361 7081.2136
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6769020 1504.2312 12.905898 2000-2012 –> 2013-2019 5.703361 7081.2136
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + phosphate 3.2783414 8216.5573 16.578162 1982-1999 –> 2000-2012 5.378198 13535.5010
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + phosphate_star 3.2783414 8216.5573 16.578162 1982-1999 –> 2000-2012 5.378198 13535.5010
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.9002102 7832.7561 18.331692 1982-1999 –> 2000-2012 4.587439 12616.3716
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.9002102 7832.7561 18.331692 1982-1999 –> 2000-2012 4.587439 12616.3716
Atlantic (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.2783414 8216.5573 16.578162 1982-1999 –> 2000-2012 5.378198 13535.5010
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.9002102 7832.7561 18.331692 1982-1999 –> 2000-2012 4.587439 12616.3716
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.7749920 7693.8180 16.188406 1982-1999 –> 2000-2012 4.614357 12689.4680
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.7749920 7693.8180 16.188406 1982-1999 –> 2000-2012 4.614357 12689.4680
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7749920 7693.8180 16.188406 1982-1999 –> 2000-2012 4.614357 12689.4680
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9986167 7937.7981 19.041099 1982-1999 –> 2000-2012 4.992544 13131.6117
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.4589220 2147.1686 10.510519 2000-2012 –> 2013-2019 5.359132 9979.9247
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.4589220 2147.1686 10.510519 2000-2012 –> 2013-2019 5.359132 9979.9247
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.4589954 2145.1961 10.421793 2000-2012 –> 2013-2019 5.566933 10193.7186
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4589220 2147.1686 10.510519 2000-2012 –> 2013-2019 5.359132 9979.9247
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.4438953 2141.5292 13.819031 2000-2012 –> 2013-2019 5.218887 9835.3472
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.4438953 2141.5292 13.819031 2000-2012 –> 2013-2019 5.218887 9835.3472
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.4438953 2141.5292 13.819031 2000-2012 –> 2013-2019 5.218887 9835.3472
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.4492269 2143.5341 11.116630 2000-2012 –> 2013-2019 5.447844 10081.3321
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5524206 2181.5022 12.539521 2000-2012 –> 2013-2019 5.769963 10341.1297
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.5650654 2186.0487 12.789837 2000-2012 –> 2013-2019 5.793328 10356.1470
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate 3.3758338 11139.4224 16.682902 1982-1999 –> 2000-2012 5.097034 17998.6648
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate_star 3.3758338 11139.4224 16.682902 1982-1999 –> 2000-2012 5.097034 17998.6648
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.1674470 10872.4116 18.718350 1982-1999 –> 2000-2012 4.604223 17103.2892
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.1674470 10872.4116 18.718350 1982-1999 –> 2000-2012 4.604223 17103.2892
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.3758338 11139.4224 16.682902 1982-1999 –> 2000-2012 5.097034 17998.6648
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1674470 10872.4116 18.718350 1982-1999 –> 2000-2012 4.604223 17103.2892
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.7302156 10245.2533 31.965122 1982-1999 –> 2000-2012 4.213985 16588.4538
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.7302156 10245.2533 31.965122 1982-1999 –> 2000-2012 4.213985 16588.4538
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7302156 10245.2533 31.965122 1982-1999 –> 2000-2012 4.213985 16588.4538
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.4667292 11253.5976 20.130142 1982-1999 –> 2000-2012 5.255520 18249.2677
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate 2.8678566 2395.4933 17.573416 2000-2012 –> 2013-2019 6.243690 13534.9158
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate_star 2.8678566 2395.4933 17.573416 2000-2012 –> 2013-2019 6.243690 13534.9158
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6880671 2335.0815 14.848809 2000-2012 –> 2013-2019 5.855514 13207.4931
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6880671 2335.0815 14.848809 2000-2012 –> 2013-2019 5.855514 13207.4931
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.8678566 2395.4933 17.573416 2000-2012 –> 2013-2019 6.243690 13534.9158
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6880671 2335.0815 14.848809 2000-2012 –> 2013-2019 5.855514 13207.4931
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.9224783 2011.9418 10.325756 2000-2012 –> 2013-2019 4.652694 12257.1951
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.9224783 2011.9418 10.325756 2000-2012 –> 2013-2019 4.652694 12257.1951
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.9224783 2011.9418 10.325756 2000-2012 –> 2013-2019 4.652694 12257.1951
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7763085 2366.2185 14.662795 2000-2012 –> 2013-2019 6.243038 13619.8161
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate 3.0035789 11900.4674 16.424870 1982-1999 –> 2000-2012 4.668845 17868.9840
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate_star 3.0035789 11900.4674 16.424870 1982-1999 –> 2000-2012 4.668845 17868.9840
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.9695282 11848.6524 17.513250 1982-1999 –> 2000-2012 4.625474 17801.8356
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.9695282 11848.6524 17.513250 1982-1999 –> 2000-2012 4.625474 17801.8356
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.0035789 11900.4674 16.424870 1982-1999 –> 2000-2012 4.668845 17868.9840
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.9695282 11848.6524 17.513250 1982-1999 –> 2000-2012 4.625474 17801.8356
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.8759211 11697.4705 14.155677 1982-1999 –> 2000-2012 4.539841 17665.4879
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.8759211 11697.4705 14.155677 1982-1999 –> 2000-2012 4.539841 17665.4879
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.8759211 11697.4705 14.155677 1982-1999 –> 2000-2012 4.539841 17665.4879
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1601461 12142.3080 19.448847 1982-1999 –> 2000-2012 4.928864 18298.9369
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate 3.5418041 2963.9322 20.341645 2000-2012 –> 2013-2019 6.545383 14864.3996
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + phosphate_star 3.5418041 2963.9322 20.341645 2000-2012 –> 2013-2019 6.545383 14864.3996
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.5238823 2960.3520 19.465935 2000-2012 –> 2013-2019 6.493411 14809.0045
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.5238823 2960.3520 19.465935 2000-2012 –> 2013-2019 6.493411 14809.0045
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.5418041 2963.9322 20.341645 2000-2012 –> 2013-2019 6.545383 14864.3996
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5238823 2960.3520 19.465935 2000-2012 –> 2013-2019 6.493411 14809.0045
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.5260577 2961.0309 20.221739 2000-2012 –> 2013-2019 6.401979 14658.5014
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.5260577 2961.0309 20.221739 2000-2012 –> 2013-2019 6.401979 14658.5014
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.5260577 2961.0309 20.221739 2000-2012 –> 2013-2019 6.401979 14658.5014
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5338009 2963.4438 20.080973 2000-2012 –> 2013-2019 6.693947 15105.7519
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + phosphate 2.7567605 7792.7173 12.876939 1982-1999 –> 2000-2012 4.489653 10962.5613
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + phosphate_star 2.7567605 7792.7173 12.876939 1982-1999 –> 2000-2012 4.489653 10962.5613
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6283273 7642.1452 13.257027 1982-1999 –> 2000-2012 4.090148 10541.1338
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6283273 7642.1452 13.257027 1982-1999 –> 2000-2012 4.090148 10541.1338
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.7567605 7792.7173 12.876939 1982-1999 –> 2000-2012 4.489653 10962.5613
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6283273 7642.1452 13.257027 1982-1999 –> 2000-2012 4.090148 10541.1338
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.7217223 7753.8105 13.844813 1982-1999 –> 2000-2012 4.453954 10925.0429
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.7217223 7753.8105 13.844813 1982-1999 –> 2000-2012 4.453954 10925.0429
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7217223 7753.8105 13.844813 1982-1999 –> 2000-2012 4.453954 10925.0429
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6546845 7674.0554 12.561181 1982-1999 –> 2000-2012 4.109090 10564.8872
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.9404401 1587.4236 14.397470 2000-2012 –> 2013-2019 5.568767 9229.5688
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.9404401 1587.4236 14.397470 2000-2012 –> 2013-2019 5.568767 9229.5688
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2.9443718 1586.2654 14.383480 2000-2012 –> 2013-2019 5.880971 9581.0833
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.9404401 1587.4236 14.397470 2000-2012 –> 2013-2019 5.568767 9229.5688
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1606780 1632.9268 11.060043 2000-2012 –> 2013-2019 5.882400 9386.7374
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9381370 1586.9300 14.515045 2000-2012 –> 2013-2019 5.592822 9260.9854
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9648345 1592.6286 16.021545 2000-2012 –> 2013-2019 5.779094 9453.3622
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.9483109 1589.1077 15.660205 2000-2012 –> 2013-2019 5.725775 9407.7526
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.9483109 1589.1077 15.660205 2000-2012 –> 2013-2019 5.725775 9407.7526
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9483109 1589.1077 15.660205 2000-2012 –> 2013-2019 5.725775 9407.7526
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.0157414 19076.9634 35.711849 1982-1999 –> 2000-2012 7.552454 28816.3894
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.0157414 19076.9634 35.711849 1982-1999 –> 2000-2012 7.552454 28816.3894
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0157414 19076.9634 35.711849 1982-1999 –> 2000-2012 7.552454 28816.3894
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.9074886 18891.5214 32.892501 1982-1999 –> 2000-2012 7.577772 28765.3672
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.9074886 18891.5214 32.892501 1982-1999 –> 2000-2012 7.577772 28765.3672
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9074886 18891.5214 32.892501 1982-1999 –> 2000-2012 7.577772 28765.3672
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0463038 19128.4137 35.319445 1982-1999 –> 2000-2012 7.636710 28922.4753
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.1462372 19293.9744 34.956319 1982-1999 –> 2000-2012 7.896764 29246.2415
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.1462372 19293.9744 34.956319 1982-1999 –> 2000-2012 7.896764 29246.2415
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1462372 19293.9744 34.956319 1982-1999 –> 2000-2012 7.896764 29246.2415
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.7770975 3603.0559 20.205202 2000-2012 –> 2013-2019 5.792839 22680.0193
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.7770975 3603.0559 20.205202 2000-2012 –> 2013-2019 5.792839 22680.0193
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 1.8041708 3628.2713 19.092681 2000-2012 –> 2013-2019 5.935555 22895.8934
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7770975 3603.0559 20.205202 2000-2012 –> 2013-2019 5.792839 22680.0193
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.9972422 3813.2705 24.320871 2000-2012 –> 2013-2019 5.904731 22704.7920
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.9972422 3813.2705 24.320871 2000-2012 –> 2013-2019 5.904731 22704.7920
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.9972422 3813.2705 24.320871 2000-2012 –> 2013-2019 5.904731 22704.7920
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7820502 3608.0654 20.150200 2000-2012 –> 2013-2019 5.828354 22736.4791
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.8376863 3663.4025 20.226963 2000-2012 –> 2013-2019 5.983924 22957.3769
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8376863 3663.4025 20.226963 2000-2012 –> 2013-2019 5.983924 22957.3769
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.9706765 15483.7985 13.936605 1982-1999 –> 2000-2012 3.149226 23318.9193
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.9706765 15483.7985 13.936605 1982-1999 –> 2000-2012 3.149226 23318.9193
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9706765 15483.7985 13.936605 1982-1999 –> 2000-2012 3.149226 23318.9193
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.7028823 14406.5000 15.108285 1982-1999 –> 2000-2012 2.989149 22673.6702
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.7028823 14406.5000 15.108285 1982-1999 –> 2000-2012 2.989149 22673.6702
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.7028823 14406.5000 15.108285 1982-1999 –> 2000-2012 2.989149 22673.6702
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9815582 15524.4153 13.591368 1982-1999 –> 2000-2012 3.156280 23343.4665
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.0655010 15830.4404 14.054403 1982-1999 –> 2000-2012 3.283864 23829.6861
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.0655010 15830.4404 14.054403 1982-1999 –> 2000-2012 3.283864 23829.6861
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0655010 15830.4404 14.054403 1982-1999 –> 2000-2012 3.283864 23829.6861
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.3793599 3289.7303 11.707480 2000-2012 –> 2013-2019 3.350036 18773.5288
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.3793599 3289.7303 11.707480 2000-2012 –> 2013-2019 3.350036 18773.5288
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate 1.3808101 3289.7079 11.881363 2000-2012 –> 2013-2019 3.363371 18815.8560
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3793599 3289.7303 11.707480 2000-2012 –> 2013-2019 3.350036 18773.5288
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.4880833 3432.5164 16.260271 2000-2012 –> 2013-2019 3.190966 17839.0164
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.4880833 3432.5164 16.260271 2000-2012 –> 2013-2019 3.190966 17839.0164
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.4880833 3432.5164 16.260271 2000-2012 –> 2013-2019 3.190966 17839.0164
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3747234 3283.3936 11.401870 2000-2012 –> 2013-2019 3.356282 18807.8088
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.4357411 3365.1262 12.135631 2000-2012 –> 2013-2019 3.501242 19195.5666
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4357411 3365.1262 12.135631 2000-2012 –> 2013-2019 3.501242 19195.5666
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.6475121 10637.0184 17.574230 1982-1999 –> 2000-2012 2.762549 15503.3932
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.6475121 10637.0184 17.574230 1982-1999 –> 2000-2012 2.762549 15503.3932
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.6569718 10666.7258 15.188546 1982-1999 –> 2000-2012 2.805141 15624.0983
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6475121 10637.0184 17.574230 1982-1999 –> 2000-2012 2.762549 15503.3932
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.6249103 10560.5182 13.738192 1982-1999 –> 2000-2012 2.790010 15566.3804
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.6249103 10560.5182 13.738192 1982-1999 –> 2000-2012 2.790010 15566.3804
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6249103 10560.5182 13.738192 1982-1999 –> 2000-2012 2.790010 15566.3804
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6393655 10609.5665 18.197774 1982-1999 –> 2000-2012 2.762669 15499.4010
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.6637757 10691.4196 19.215446 1982-1999 –> 2000-2012 2.812902 15653.4397
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6637757 10691.4196 19.215446 1982-1999 –> 2000-2012 2.812902 15653.4397
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.4400531 2764.3398 5.734612 2000-2012 –> 2013-2019 3.087565 13401.3582
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.4400531 2764.3398 5.734612 2000-2012 –> 2013-2019 3.087565 13401.3582
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4400531 2764.3398 5.734612 2000-2012 –> 2013-2019 3.087565 13401.3582
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate 1.4403425 2762.6496 5.872746 2000-2012 –> 2013-2019 3.121543 13509.7661
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1.4403425 2762.6496 5.872746 2000-2012 –> 2013-2019 3.121543 13509.7661
Atlantic (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.4403425 2762.6496 5.872746 2000-2012 –> 2013-2019 3.121543 13509.7661
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4106609 2732.5412 6.238822 2000-2012 –> 2013-2019 3.050026 13342.1077
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.4363246 2760.3421 6.426845 2000-2012 –> 2013-2019 3.100100 13451.7617
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.4363246 2760.3421 6.426845 2000-2012 –> 2013-2019 3.100100 13451.7617
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4363246 2760.3421 6.426845 2000-2012 –> 2013-2019 3.100100 13451.7617
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1440841 7915.3195 12.697288 1982-1999 –> 2000-2012 1.966323 10909.0691
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1440841 7915.3195 12.697288 1982-1999 –> 2000-2012 1.966323 10909.0691
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1440841 7915.3195 12.697288 1982-1999 –> 2000-2012 1.966323 10909.0691
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + silicate + phosphate 1.1473206 7927.6871 12.741173 1982-1999 –> 2000-2012 1.986453 10968.9778
Atlantic (28.1,28.15] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.1473206 7927.6871 12.741173 1982-1999 –> 2000-2012 1.986453 10968.9778
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1370199 7883.8183 12.849373 1982-1999 –> 2000-2012 1.958720 10875.9726
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1498767 7941.0051 12.589796 1982-1999 –> 2000-2012 1.979882 10957.6562
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1418002 7905.1562 12.734488 1982-1999 –> 2000-2012 1.966106 10905.0223
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.1418002 7905.1562 12.734488 1982-1999 –> 2000-2012 1.966106 10905.0223
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1418002 7905.1562 12.734488 1982-1999 –> 2000-2012 1.966106 10905.0223
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.8824153 1615.7815 3.877124 2000-2012 –> 2013-2019 2.037118 9578.0865
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.8824153 1615.7815 3.877124 2000-2012 –> 2013-2019 2.037118 9578.0865
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 0.9086419 1650.0403 4.772792 2000-2012 –> 2013-2019 2.066288 9623.2949
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8824153 1615.7815 3.877124 2000-2012 –> 2013-2019 2.037118 9578.0865
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9086069 1651.9927 4.797878 2000-2012 –> 2013-2019 2.045627 9535.8110
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + phosphate 0.9131463 1656.1623 4.845116 2000-2012 –> 2013-2019 2.067929 9616.8229
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.9127515 1657.6269 4.920913 2000-2012 –> 2013-2019 2.054552 9562.7831
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.9127515 1657.6269 4.920913 2000-2012 –> 2013-2019 2.054552 9562.7831
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.9131463 1656.1623 4.845116 2000-2012 –> 2013-2019 2.067929 9616.8229
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9127515 1657.6269 4.920913 2000-2012 –> 2013-2019 2.054552 9562.7831
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1835663 3414.3623 16.882036 1982-1999 –> 2000-2012 1.645983 3908.9181
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1835663 3414.3623 16.882036 1982-1999 –> 2000-2012 1.645983 3908.9181
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate 1.2065578 3453.5728 14.684420 1982-1999 –> 2000-2012 1.673187 3952.8571
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1835663 3414.3623 16.882036 1982-1999 –> 2000-2012 1.645983 3908.9181
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1.1963124 3435.3066 18.314129 1982-1999 –> 2000-2012 1.749694 4061.1124
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1808536 3409.4472 17.275536 1982-1999 –> 2000-2012 1.644114 3905.3553
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1926769 3430.7873 16.447065 1982-1999 –> 2000-2012 1.674934 3956.5154
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1865937 3419.8343 16.837712 1982-1999 –> 2000-2012 1.657182 3927.3880
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.1865937 3419.8343 16.837712 1982-1999 –> 2000-2012 1.657182 3927.3880
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1865937 3419.8343 16.837712 1982-1999 –> 2000-2012 1.657182 3927.3880
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.4007014 174.3991 1.233850 2000-2012 –> 2013-2019 1.584268 3588.7614
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.4007014 174.3991 1.233850 2000-2012 –> 2013-2019 1.584268 3588.7614
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4007014 174.3991 1.233850 2000-2012 –> 2013-2019 1.584268 3588.7614
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.4729166 227.0925 2.036251 2000-2012 –> 2013-2019 1.691103 3703.2117
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.4729166 227.0925 2.036251 2000-2012 –> 2013-2019 1.691103 3703.2117
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.3993040 173.2882 1.238823 2000-2012 –> 2013-2019 1.580158 3582.7354
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.3977584 172.0549 1.260788 2000-2012 –> 2013-2019 1.590435 3602.8423
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.3978416 172.1215 1.260314 2000-2012 –> 2013-2019 1.584435 3591.9557
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.3978416 172.1215 1.260314 2000-2012 –> 2013-2019 1.584435 3591.9557
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.3978416 172.1215 1.260314 2000-2012 –> 2013-2019 1.584435 3591.9557
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.0519879 7241.5921 23.135312 1982-1999 –> 2000-2012 2.045341 9258.1900
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.0519879 7241.5921 23.135312 1982-1999 –> 2000-2012 2.045341 9258.1900
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.1064781 7487.9533 23.910329 1982-1999 –> 2000-2012 2.100747 9503.8578
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0519879 7241.5921 23.135312 1982-1999 –> 2000-2012 2.045341 9258.1900
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1.6639640 9494.5986 25.500301 1982-1999 –> 2000-2012 2.766517 11657.0912
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0369263 7170.6707 22.834612 1982-1999 –> 2000-2012 2.029307 9185.8797
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.9627952 6805.8759 21.770039 1982-1999 –> 2000-2012 1.933656 8789.9981
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.9838543 6912.2873 22.088681 1982-1999 –> 2000-2012 1.966991 8914.2265
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.9838543 6912.2873 22.088681 1982-1999 –> 2000-2012 1.966991 8914.2265
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9838543 6912.2873 22.088681 1982-1999 –> 2000-2012 1.966991 8914.2265
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.3503725 248.6942 1.455610 2000-2012 –> 2013-2019 1.402360 7490.2863
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.3503725 248.6942 1.455610 2000-2012 –> 2013-2019 1.402360 7490.2863
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 0.4744161 438.8520 3.097596 2000-2012 –> 2013-2019 1.580894 7926.8053
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3503725 248.6942 1.455610 2000-2012 –> 2013-2019 1.402360 7490.2863
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.5665556 553.3809 2.993353 2000-2012 –> 2013-2019 1.913626 9010.9522
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.3590659 264.2329 1.565864 2000-2012 –> 2013-2019 1.395992 7434.9036
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.3447101 238.3644 1.220897 2000-2012 –> 2013-2019 1.307505 7044.2403
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.3458618 240.4791 1.331758 2000-2012 –> 2013-2019 1.329716 7152.7664
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.3458618 240.4791 1.331758 2000-2012 –> 2013-2019 1.329716 7152.7664
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.3458618 240.4791 1.331758 2000-2012 –> 2013-2019 1.329716 7152.7664
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 5.1494550 21021.2881 25.219368 1982-1999 –> 2000-2012 10.021383 29105.8153
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 5.1494550 21021.2881 25.219368 1982-1999 –> 2000-2012 10.021383 29105.8153
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.1494550 21021.2881 25.219368 1982-1999 –> 2000-2012 10.021383 29105.8153
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate 5.7135077 21735.3714 28.593579 1982-1999 –> 2000-2012 10.890529 29983.1682
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 5.7135077 21735.3714 28.593579 1982-1999 –> 2000-2012 10.890529 29983.1682
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.4666912 21431.9949 23.667705 1982-1999 –> 2000-2012 10.399214 29549.7481
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.5899316 21585.1514 23.501191 1982-1999 –> 2000-2012 10.591793 29740.4277
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5.6068420 21605.9029 23.661115 1982-1999 –> 2000-2012 10.622003 29768.3169
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5.6068420 21605.9029 23.661115 1982-1999 –> 2000-2012 10.622003 29768.3169
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.6068420 21605.9029 23.661115 1982-1999 –> 2000-2012 10.622003 29768.3169
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.9321282 16221.0762 45.044452 2000-2012 –> 2013-2019 10.081583 37242.3642
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.9321282 16221.0762 45.044452 2000-2012 –> 2013-2019 10.081583 37242.3642
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.9321282 16221.0762 45.044452 2000-2012 –> 2013-2019 10.081583 37242.3642
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.6937983 16993.1073 33.953442 2000-2012 –> 2013-2019 11.407306 38728.4787
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.1989746 16504.3421 25.099546 2000-2012 –> 2013-2019 10.665666 37936.3370
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.3007170 16608.5327 22.622012 2000-2012 –> 2013-2019 10.890649 38193.6841
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5.3344099 16642.5959 22.576631 2000-2012 –> 2013-2019 10.941252 38248.4988
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5.3344099 16642.5959 22.576631 2000-2012 –> 2013-2019 10.941252 38248.4988
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.3344099 16642.5959 22.576631 2000-2012 –> 2013-2019 10.941252 38248.4988
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 5.6840308 16981.8771 24.186869 2000-2012 –> 2013-2019 11.379954 38694.0717
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.0655576 14527.7416 57.020310 1982-1999 –> 2000-2012 7.580729 22430.6686
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.0655576 14527.7416 57.020310 1982-1999 –> 2000-2012 7.580729 22430.6686
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0655576 14527.7416 57.020310 1982-1999 –> 2000-2012 7.580729 22430.6686
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.0095751 15601.8099 52.399100 1982-1999 –> 2000-2012 9.014853 23889.5235
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1760872 14665.7234 56.026663 1982-1999 –> 2000-2012 7.591875 22484.1014
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.3056154 14822.8487 54.359295 1982-1999 –> 2000-2012 7.845887 22746.7517
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.3203575 14840.4313 54.164988 1982-1999 –> 2000-2012 7.879673 22780.1492
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.3203575 14840.4313 54.164988 1982-1999 –> 2000-2012 7.879673 22780.1492
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.3203575 14840.4313 54.164988 1982-1999 –> 2000-2012 7.879673 22780.1492
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.6612486 15229.0933 48.956112 1982-1999 –> 2000-2012 8.882245 23669.4542
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.5881785 8039.0317 28.597688 2000-2012 –> 2013-2019 7.653736 22566.7733
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.5881785 8039.0317 28.597688 2000-2012 –> 2013-2019 7.653736 22566.7733
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5881785 8039.0317 28.597688 2000-2012 –> 2013-2019 7.653736 22566.7733
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7286660 8153.3275 27.086030 2000-2012 –> 2013-2019 7.904753 22819.0509
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.8121267 8219.2063 26.230972 2000-2012 –> 2013-2019 8.117742 23042.0550
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.8279266 8231.5152 26.184023 2000-2012 –> 2013-2019 8.148284 23071.9465
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.8279266 8231.5152 26.184023 2000-2012 –> 2013-2019 8.148284 23071.9465
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.8279266 8231.5152 26.184023 2000-2012 –> 2013-2019 8.148284 23071.9465
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.2305646 8527.1514 26.405823 2000-2012 –> 2013-2019 8.891813 23756.2448
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.1964517 8505.0573 25.370918 2000-2012 –> 2013-2019 9.333991 24236.6152
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.7741981 16123.6529 44.855636 1982-1999 –> 2000-2012 8.338712 24514.2075
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.7741981 16123.6529 44.855636 1982-1999 –> 2000-2012 8.338712 24514.2075
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.7741981 16123.6529 44.855636 1982-1999 –> 2000-2012 8.338712 24514.2075
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 5.4090505 16798.0794 41.956469 1982-1999 –> 2000-2012 9.268453 25436.1491
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.9239279 16290.4696 49.259011 1982-1999 –> 2000-2012 8.526130 24713.7767
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.0683681 16446.6540 49.031480 1982-1999 –> 2000-2012 8.767512 24952.6562
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5.0710002 16449.4587 48.828630 1982-1999 –> 2000-2012 8.772359 24957.3248
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5.0710002 16449.4587 48.828630 1982-1999 –> 2000-2012 8.772359 24957.3248
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.0710002 16449.4587 48.828630 1982-1999 –> 2000-2012 8.772359 24957.3248
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 5.0786725 16455.6255 47.439211 1982-1999 –> 2000-2012 8.791454 24971.0872
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.6573465 6667.4072 34.336515 2000-2012 –> 2013-2019 8.431544 22791.0601
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.6573465 6667.4072 34.336515 2000-2012 –> 2013-2019 8.431544 22791.0601
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6573465 6667.4072 34.336515 2000-2012 –> 2013-2019 8.431544 22791.0601
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.8771811 7372.5895 25.879112 2000-2012 –> 2013-2019 10.286231 24170.6689
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.8382917 6785.7165 33.531984 2000-2012 –> 2013-2019 8.762220 23076.1861
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9569092 6860.2843 31.417876 2000-2012 –> 2013-2019 9.025277 23306.9383
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.9589780 6861.5649 31.164857 2000-2012 –> 2013-2019 9.029978 23311.0236
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.9589780 6861.5649 31.164857 2000-2012 –> 2013-2019 9.029978 23311.0236
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9589780 6861.5649 31.164857 2000-2012 –> 2013-2019 9.029978 23311.0236
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.9659301 6863.8634 29.409405 2000-2012 –> 2013-2019 9.044603 23319.4890
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + phosphate 4.7985637 24686.7277 58.662768 1982-1999 –> 2000-2012 8.843637 39620.2171
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.7020409 24520.8846 53.191755 1982-1999 –> 2000-2012 8.625148 39294.1717
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.7020409 24520.8846 53.191755 1982-1999 –> 2000-2012 8.625148 39294.1717
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.7985637 24686.7277 58.662768 1982-1999 –> 2000-2012 8.843637 39620.2171
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.7020409 24520.8846 53.191755 1982-1999 –> 2000-2012 8.625148 39294.1717
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.7655805 24631.7562 45.790009 1982-1999 –> 2000-2012 8.727543 39457.2587
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.7655805 24631.7562 45.790009 1982-1999 –> 2000-2012 8.727543 39457.2587
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 4.8271900 24735.8572 31.091068 1982-1999 –> 2000-2012 8.841303 39628.6403
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.7655805 24631.7562 45.790009 1982-1999 –> 2000-2012 8.727543 39457.2587
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.7290512 24568.1973 22.783138 1982-1999 –> 2000-2012 8.642897 39328.9637
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + phosphate 4.2747879 12342.9639 27.195170 2000-2012 –> 2013-2019 9.073352 37029.6917
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + phosphate_star 4.2747879 12342.9639 27.195170 2000-2012 –> 2013-2019 9.073352 37029.6917
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.0522021 12115.3465 32.403661 2000-2012 –> 2013-2019 8.754243 36636.2310
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.0522021 12115.3465 32.403661 2000-2012 –> 2013-2019 8.754243 36636.2310
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.2747879 12342.9639 27.195170 2000-2012 –> 2013-2019 9.073352 37029.6917
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0522021 12115.3465 32.403661 2000-2012 –> 2013-2019 8.754243 36636.2310
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.1259472 12192.7894 22.150159 2000-2012 –> 2013-2019 8.891528 36824.5456
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.1259472 12192.7894 22.150159 2000-2012 –> 2013-2019 8.891528 36824.5456
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.1259472 12192.7894 22.150159 2000-2012 –> 2013-2019 8.891528 36824.5456
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2381942 12308.0475 33.499228 2000-2012 –> 2013-2019 8.967245 36876.2449
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9744036 31120.0103 58.414418 1982-1999 –> 2000-2012 7.582538 46147.0410
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.9609759 31082.3977 47.347219 1982-1999 –> 2000-2012 7.555334 46088.1737
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.9609759 31082.3977 47.347219 1982-1999 –> 2000-2012 7.555334 46088.1737
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate 3.9634051 31087.2114 47.693769 1982-1999 –> 2000-2012 7.573960 46115.9676
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9609759 31082.3977 47.347219 1982-1999 –> 2000-2012 7.555334 46088.1737
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9129184 30946.7294 47.387695 1982-1999 –> 2000-2012 7.365002 45728.1135
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9709501 31110.3488 47.879447 1982-1999 –> 2000-2012 7.554585 46099.5259
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.9679295 31101.8915 47.894413 1982-1999 –> 2000-2012 7.564607 46111.2525
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.9679295 31101.8915 47.894413 1982-1999 –> 2000-2012 7.564607 46111.2525
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9679295 31101.8915 47.894413 1982-1999 –> 2000-2012 7.564607 46111.2525
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.6661817 16398.6420 32.639788 2000-2012 –> 2013-2019 7.640585 47518.6523
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.6661817 16398.6420 32.639788 2000-2012 –> 2013-2019 7.640585 47518.6523
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6661817 16398.6420 32.639788 2000-2012 –> 2013-2019 7.640585 47518.6523
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.6650119 16396.7183 31.207631 2000-2012 –> 2013-2019 7.625988 47479.1159
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.6650119 16396.7183 31.207631 2000-2012 –> 2013-2019 7.625988 47479.1159
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate 3.7060080 16461.7720 33.133667 2000-2012 –> 2013-2019 7.669413 47548.9834
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.6650119 16396.7183 31.207631 2000-2012 –> 2013-2019 7.625988 47479.1159
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6849160 16429.3668 33.085018 2000-2012 –> 2013-2019 7.597834 47376.0962
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.7027993 16458.5506 33.283345 2000-2012 –> 2013-2019 7.670729 47560.4421
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7027993 16458.5506 33.283345 2000-2012 –> 2013-2019 7.670729 47560.4421
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.1828746 29945.2175 61.204437 1982-1999 –> 2000-2012 6.431634 46529.4282
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.1834411 29947.2850 59.233686 1982-1999 –> 2000-2012 6.367600 46403.3539
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.1834411 29947.2850 59.233686 1982-1999 –> 2000-2012 6.367600 46403.3539
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 3.2025504 30014.8042 45.950196 1982-1999 –> 2000-2012 6.391191 46477.8461
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1834411 29947.2850 59.233686 1982-1999 –> 2000-2012 6.367600 46403.3539
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1977338 29999.3205 49.725303 1982-1999 –> 2000-2012 6.304848 46299.1177
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2399968 30151.8383 40.835820 1982-1999 –> 2000-2012 6.380893 46520.6281
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.2365893 30139.6152 42.086856 1982-1999 –> 2000-2012 6.384329 46522.2907
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.2365893 30139.6152 42.086856 1982-1999 –> 2000-2012 6.384329 46522.2907
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.2365893 30139.6152 42.086856 1982-1999 –> 2000-2012 6.384329 46522.2907
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate 2.5803682 16414.4136 20.257728 2000-2012 –> 2013-2019 5.763892 46359.9992
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + phosphate_star 2.5803682 16414.4136 20.257728 2000-2012 –> 2013-2019 5.763892 46359.9992
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.5747105 16401.2022 20.061516 2000-2012 –> 2013-2019 5.757585 46346.4198
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.5747105 16401.2022 20.061516 2000-2012 –> 2013-2019 5.757585 46346.4198
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.5803682 16414.4136 20.257728 2000-2012 –> 2013-2019 5.763892 46359.9992
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5747105 16401.2022 20.061516 2000-2012 –> 2013-2019 5.757585 46346.4198
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.4957799 16185.4307 15.860326 2000-2012 –> 2013-2019 5.679221 46132.7157
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.4957799 16185.4307 15.860326 2000-2012 –> 2013-2019 5.679221 46132.7157
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.4957799 16185.4307 15.860326 2000-2012 –> 2013-2019 5.679221 46132.7157
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5854503 16430.0489 20.339166 2000-2012 –> 2013-2019 5.783184 46429.3694
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.6380632 40242.9726 30.630252 1982-1999 –> 2000-2012 8.003118 58657.3291
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.6380632 40242.9726 30.630252 1982-1999 –> 2000-2012 8.003118 58657.3291
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.6380632 40242.9726 30.630252 1982-1999 –> 2000-2012 8.003118 58657.3291
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6376423 40241.7364 31.369045 1982-1999 –> 2000-2012 7.871220 58377.5054
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6366499 40238.8212 30.780974 1982-1999 –> 2000-2012 7.910814 58461.7787
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.6361960 40237.4874 31.103363 1982-1999 –> 2000-2012 7.920880 58482.8689
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.6361960 40237.4874 31.103363 1982-1999 –> 2000-2012 7.920880 58482.8689
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6361960 40237.4874 31.103363 1982-1999 –> 2000-2012 7.920880 58482.8689
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 5.2760181 41998.5051 32.365729 1982-1999 –> 2000-2012 8.549994 60221.0611
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5.2760181 41998.5051 32.365729 1982-1999 –> 2000-2012 8.549994 60221.0611
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 6.1587606 30569.5250 53.714387 2000-2012 –> 2013-2019 10.796824 70812.4976
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 6.1587606 30569.5250 53.714387 2000-2012 –> 2013-2019 10.796824 70812.4976
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.1587606 30569.5250 53.714387 2000-2012 –> 2013-2019 10.796824 70812.4976
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 6.3536416 30861.6053 44.522618 2000-2012 –> 2013-2019 11.008508 71151.8400
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.2909414 30769.9850 54.114479 2000-2012 –> 2013-2019 10.928584 71011.7214
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.2191389 30661.6208 52.920737 2000-2012 –> 2013-2019 10.855789 70900.4419
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 6.2620460 30726.5256 53.250451 2000-2012 –> 2013-2019 10.898242 70964.0129
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 6.2620460 30726.5256 53.250451 2000-2012 –> 2013-2019 10.898242 70964.0129
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.2620460 30726.5256 53.250451 2000-2012 –> 2013-2019 10.898242 70964.0129
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 6.0755272 30441.0770 42.236780 2000-2012 –> 2013-2019 11.351545 72439.5821
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5999398 16160.1023 40.813652 1982-1999 –> 2000-2012 5.801903 24371.6005
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.9812667 14312.1894 23.220415 1982-1999 –> 2000-2012 5.155877 22496.4574
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.9812667 14312.1894 23.220415 1982-1999 –> 2000-2012 5.155877 22496.4574
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.9812667 14312.1894 23.220415 1982-1999 –> 2000-2012 5.155877 22496.4574
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + phosphate 2.3703567 15529.4570 25.986319 1982-1999 –> 2000-2012 5.671274 23835.5603
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + phosphate_star 2.3703567 15529.4570 25.986319 1982-1999 –> 2000-2012 5.671274 23835.5603
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.3698300 15529.9459 26.206904 1982-1999 –> 2000-2012 5.653193 23821.1247
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.3698300 15529.9459 26.206904 1982-1999 –> 2000-2012 5.653193 23821.1247
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.3703567 15529.4570 25.986319 1982-1999 –> 2000-2012 5.671274 23835.5603
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3698300 15529.9459 26.206904 1982-1999 –> 2000-2012 5.653193 23821.1247
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.6602945 7729.2898 14.217743 2000-2012 –> 2013-2019 4.260234 23889.3921
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.6602945 7729.2898 14.217743 2000-2012 –> 2013-2019 4.260234 23889.3921
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6602945 7729.2898 14.217743 2000-2012 –> 2013-2019 4.260234 23889.3921
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen 1.8070905 8066.6905 15.804749 2000-2012 –> 2013-2019 4.005995 23085.5969
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.6804360 7777.5952 18.031324 2000-2012 –> 2013-2019 3.661703 22089.7846
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.6804360 7777.5952 18.031324 2000-2012 –> 2013-2019 3.661703 22089.7846
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.6842089 7786.5794 12.662493 2000-2012 –> 2013-2019 3.859106 22732.8346
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6804360 7777.5952 18.031324 2000-2012 –> 2013-2019 3.661703 22089.7846
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.9973500 8469.7038 20.694197 2000-2012 –> 2013-2019 4.367180 23999.6497
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.9973500 8469.7038 20.694197 2000-2012 –> 2013-2019 4.367180 23999.6497
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.1509005 21045.1268 25.115203 1982-1999 –> 2000-2012 4.997717 32132.5346
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 2.1509005 21045.1268 25.115203 1982-1999 –> 2000-2012 4.997717 32132.5346
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.1509005 21045.1268 25.115203 1982-1999 –> 2000-2012 4.997717 32132.5346
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6962728 23220.4464 48.882866 1982-1999 –> 2000-2012 5.544070 34309.4023
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate 2.6166622 22929.9471 38.110839 1982-1999 –> 2000-2012 5.465053 34017.8394
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate_star 2.6166622 22929.9471 38.110839 1982-1999 –> 2000-2012 5.465053 34017.8394
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.5887968 22828.8881 40.962632 1982-1999 –> 2000-2012 5.436036 33916.9641
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.5887968 22828.8881 40.962632 1982-1999 –> 2000-2012 5.436036 33916.9641
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.6166622 22929.9471 38.110839 1982-1999 –> 2000-2012 5.465053 34017.8394
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5887968 22828.8881 40.962632 1982-1999 –> 2000-2012 5.436036 33916.9641
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.4350259 10196.2945 14.900235 2000-2012 –> 2013-2019 4.111684 33346.4573
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.4350259 10196.2945 14.900235 2000-2012 –> 2013-2019 4.111684 33346.4573
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4350259 10196.2945 14.900235 2000-2012 –> 2013-2019 4.111684 33346.4573
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen 1.7410864 11300.1214 11.985303 2000-2012 –> 2013-2019 3.987692 32762.3038
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.6153601 10873.3995 14.996540 2000-2012 –> 2013-2019 3.766261 31918.5263
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.6153601 10873.3995 14.996540 2000-2012 –> 2013-2019 3.766261 31918.5263
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.5681968 10703.9075 8.394611 2000-2012 –> 2013-2019 3.662560 31492.6258
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6153601 10873.3995 14.996540 2000-2012 –> 2013-2019 3.766261 31918.5263
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4666694 10321.0549 14.863285 2000-2012 –> 2013-2019 4.162942 33541.5012
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.4892703 10408.5258 14.642168 2000-2012 –> 2013-2019 4.213723 33729.0566
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.9582283 35405.9048 45.621253 1982-1999 –> 2000-2012 4.024780 53582.2379
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.9582283 35405.9048 45.621253 1982-1999 –> 2000-2012 4.024780 53582.2379
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9582283 35405.9048 45.621253 1982-1999 –> 2000-2012 4.024780 53582.2379
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.4319807 30108.3794 13.287843 1982-1999 –> 2000-2012 3.396140 47854.3942
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9359250 35212.0194 41.580891 1982-1999 –> 2000-2012 4.067323 53649.9871
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9476548 35314.2647 41.717832 1982-1999 –> 2000-2012 4.143133 54003.0696
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate 1.7006546 33016.8841 33.647565 1982-1999 –> 2000-2012 3.806407 51350.3460
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.6897899 32910.4045 31.322052 1982-1999 –> 2000-2012 3.372864 49348.6007
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.6897899 32910.4045 31.322052 1982-1999 –> 2000-2012 3.372864 49348.6007
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6897899 32910.4045 31.322052 1982-1999 –> 2000-2012 3.372864 49348.6007
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1428413 15625.4983 13.785412 2000-2012 –> 2013-2019 3.101070 51031.4031
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1428413 15625.4983 13.785412 2000-2012 –> 2013-2019 3.101070 51031.4031
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1428413 15625.4983 13.785412 2000-2012 –> 2013-2019 3.101070 51031.4031
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.0380619 14658.4919 5.230915 2000-2012 –> 2013-2019 2.470043 44766.8713
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1548097 15730.2619 14.141554 2000-2012 –> 2013-2019 3.090735 50942.2813
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1573956 15752.7543 14.576059 2000-2012 –> 2013-2019 3.105050 51067.0190
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate 1.2217568 16294.9601 9.556811 2000-2012 –> 2013-2019 2.922411 49311.8441
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.2101519 16200.9862 6.513751 2000-2012 –> 2013-2019 2.899942 49111.3907
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.2101519 16200.9862 6.513751 2000-2012 –> 2013-2019 2.899942 49111.3907
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2101519 16200.9862 6.513751 2000-2012 –> 2013-2019 2.899942 49111.3907
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.9903492 19495.3458 15.974625 1982-1999 –> 2000-2012 2.727715 31617.1244
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.9903492 19495.3458 15.974625 1982-1999 –> 2000-2012 2.727715 31617.1244
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.0325215 20069.8278 10.363412 1982-1999 –> 2000-2012 2.782944 32235.5900
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.9903492 19495.3458 15.974625 1982-1999 –> 2000-2012 2.727715 31617.1244
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + silicate 1.0025990 19665.2881 12.791256 1982-1999 –> 2000-2012 2.728090 31744.9408
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9991962 19618.2899 15.536837 1982-1999 –> 2000-2012 2.749153 31784.4182
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.0066512 19721.0479 15.599620 1982-1999 –> 2000-2012 2.791800 32009.4677
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.1079041 21045.9519 26.851323 1982-1999 –> 2000-2012 2.558788 32060.9608
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.1079041 21045.9519 26.851323 1982-1999 –> 2000-2012 2.558788 32060.9608
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1079041 21045.9519 26.851323 1982-1999 –> 2000-2012 2.558788 32060.9608
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.7435782 11460.6129 6.594850 2000-2012 –> 2013-2019 1.733927 30955.9588
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.7435782 11460.6129 6.594850 2000-2012 –> 2013-2019 1.733927 30955.9588
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7435782 11460.6129 6.594850 2000-2012 –> 2013-2019 1.733927 30955.9588
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + silicate 0.7527638 11585.7953 6.007028 2000-2012 –> 2013-2019 1.755363 31251.0835
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7468196 11504.9627 6.933798 2000-2012 –> 2013-2019 1.746016 31123.2525
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.7478066 11518.4292 7.063341 2000-2012 –> 2013-2019 1.755599 31255.1382
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.7480371 11521.5708 7.085955 2000-2012 –> 2013-2019 1.754688 31242.6187
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.7480371 11521.5708 7.085955 2000-2012 –> 2013-2019 1.754688 31242.6187
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7480371 11521.5708 7.085955 2000-2012 –> 2013-2019 1.754688 31242.6187
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 0.7585801 11662.2718 6.479081 2000-2012 –> 2013-2019 1.781397 31601.5566
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.6679259 34458.3274 14.787418 1982-1999 –> 2000-2012 2.809719 52104.0110
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.6679259 34458.3274 14.787418 1982-1999 –> 2000-2012 2.809719 52104.0110
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6679259 34458.3274 14.787418 1982-1999 –> 2000-2012 2.809719 52104.0110
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate 1.6712456 34491.8036 14.096671 1982-1999 –> 2000-2012 2.865290 52643.9799
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6684924 34464.3865 14.786225 1982-1999 –> 2000-2012 2.811626 52123.4040
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6682212 34461.4859 14.779255 1982-1999 –> 2000-2012 2.810586 52112.8594
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.6680936 34460.1208 14.775636 1982-1999 –> 2000-2012 2.810085 52107.7734
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.6680936 34460.1208 14.775636 1982-1999 –> 2000-2012 2.810085 52107.7734
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6680936 34460.1208 14.775636 1982-1999 –> 2000-2012 2.810085 52107.7734
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.6874238 34663.6885 14.737482 1982-1999 –> 2000-2012 2.848516 52497.8453
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.4131071 15907.1532 14.575085 2000-2012 –> 2013-2019 3.081033 50365.4805
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.4131071 15907.1532 14.575085 2000-2012 –> 2013-2019 3.081033 50365.4805
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4131071 15907.1532 14.575085 2000-2012 –> 2013-2019 3.081033 50365.4805
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.4098855 15886.5979 13.962010 2000-2012 –> 2013-2019 3.076819 50334.3110
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.4098855 15886.5979 13.962010 2000-2012 –> 2013-2019 3.076819 50334.3110
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.4098855 15886.5979 13.962010 2000-2012 –> 2013-2019 3.076819 50334.3110
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4129731 15906.2989 14.541847 2000-2012 –> 2013-2019 3.081194 50367.7848
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.4126740 15904.3923 14.518007 2000-2012 –> 2013-2019 3.080767 50364.5131
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.4126740 15904.3923 14.518007 2000-2012 –> 2013-2019 3.080767 50364.5131
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4126740 15904.3923 14.518007 2000-2012 –> 2013-2019 3.080767 50364.5131

5.3 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.4 Cant coeffcients

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

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

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

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

5.5 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

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

6.1.1 All models

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

Version Author Date
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

Version Author Date
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Version Author Date
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou oxygen phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 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 4 6 7 10 9 7
(26.5,26.75] 6 5 6 6 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 4 6 7 9 10 7
(26.5,26.75] 6 5 6 6 10 9 7
(26.75,27] 10 6 7 6 10 4 4
(27,27.25] 8 5 7 6 10 6 7
(27.25,27.5] 10 6 7 6 10 4 4
(27.5,27.75] 7 5 6 6 9 10 6
(27.75,27.85] 10 7 6 5 8 6 7
(27.85,27.95] 9 7 5 5 10 6 7
(27.95,28.05] 9 7 6 4 6 10 7
(28.05,28.1] 6 5 5 6 10 10 7
(28.1, Inf] 7 6 6 7 10 7 7
total 94.00 67.00 73.00 71.00 112.00 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
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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

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

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

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

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

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