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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove 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 + temp + nitrate + phosphate + phosphate_star 1.0605961 510.5306 4.333869 1982-1999 –> 2000-2012 2.3945656 1289.3103
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1.0605961 510.5306 4.333869 1982-1999 –> 2000-2012 2.3945656 1289.3103
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 1.0605961 510.5306 4.333869 1982-1999 –> 2000-2012 2.3945656 1289.3103
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 1.1031759 523.7563 3.387702 1982-1999 –> 2000-2012 2.4620278 1310.8155
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + phosphate 1.0734858 512.5895 4.775202 1982-1999 –> 2000-2012 2.4077143 1289.4562
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + phosphate_star 1.0734858 512.5895 4.775202 1982-1999 –> 2000-2012 2.4077143 1289.4562
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.0721782 514.1800 4.711590 1982-1999 –> 2000-2012 2.4062957 1293.0094
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.0721782 514.1800 4.711590 1982-1999 –> 2000-2012 2.4062957 1293.0094
Atlantic (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.0734858 512.5895 4.775202 1982-1999 –> 2000-2012 2.4077143 1289.4562
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0721782 514.1800 4.711590 1982-1999 –> 2000-2012 2.4062957 1293.0094
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.1417526 256.0345 2.864096 2000-2012 –> 2013-2019 2.2023487 766.5651
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1.1417526 256.0345 2.864096 2000-2012 –> 2013-2019 2.2023487 766.5651
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 1.1417526 256.0345 2.864096 2000-2012 –> 2013-2019 2.2023487 766.5651
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 1.1874096 262.1512 2.665408 2000-2012 –> 2013-2019 2.2905856 785.9075
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + phosphate 1.2543425 268.7058 3.866039 2000-2012 –> 2013-2019 2.3278283 781.2953
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + phosphate_star 1.2543425 268.7058 3.866039 2000-2012 –> 2013-2019 2.3278283 781.2953
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1950624 263.1534 3.519214 2000-2012 –> 2013-2019 2.2672406 777.3333
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.1950624 263.1534 3.519214 2000-2012 –> 2013-2019 2.2672406 777.3333
Atlantic (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.2543425 268.7058 3.866039 2000-2012 –> 2013-2019 2.3278283 781.2953
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1950624 263.1534 3.519214 2000-2012 –> 2013-2019 2.2672406 777.3333
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.4027791 6020.1024 14.950523 1982-1999 –> 2000-2012 6.7919727 14818.4601
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6380879 6172.0215 14.774574 1982-1999 –> 2000-2012 7.2575738 15189.1618
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate 3.4458264 6046.6644 15.693495 1982-1999 –> 2000-2012 6.8939611 14900.4015
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 3.4027791 6020.1024 14.950523 1982-1999 –> 2000-2012 6.7919727 14818.4601
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 3.4027791 6020.1024 14.950523 1982-1999 –> 2000-2012 6.7919727 14818.4601
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 3.3696884 5997.9000 15.399793 1982-1999 –> 2000-2012 6.7423878 14780.0218
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.6096349 6154.1826 14.304181 1982-1999 –> 2000-2012 7.1649808 15111.8195
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.6096349 6154.1826 14.304181 1982-1999 –> 2000-2012 7.1649808 15111.8195
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6096349 6154.1826 14.304181 1982-1999 –> 2000-2012 7.1649808 15111.8195
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6702662 6190.0286 16.261179 1982-1999 –> 2000-2012 7.5108093 15402.4587
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.3271164 3253.6110 9.909519 2000-2012 –> 2013-2019 6.7298955 9273.7135
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6337676 3362.5818 10.363673 2000-2012 –> 2013-2019 7.2718555 9534.6032
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate 3.3592665 3263.4972 10.318902 2000-2012 –> 2013-2019 6.8050929 9310.1617
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 3.3271164 3253.6110 9.909519 2000-2012 –> 2013-2019 6.7298955 9273.7135
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 3.3271164 3253.6110 9.909519 2000-2012 –> 2013-2019 6.7298955 9273.7135
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 3.2288635 3216.5610 9.462371 2000-2012 –> 2013-2019 6.5985520 9214.4610
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.6584854 3370.9609 10.318851 2000-2012 –> 2013-2019 7.2681203 9525.1435
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.6584854 3370.9609 10.318851 2000-2012 –> 2013-2019 7.2681203 9525.1435
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6584854 3370.9609 10.318851 2000-2012 –> 2013-2019 7.2681203 9525.1435
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6645903 3371.0217 10.287116 2000-2012 –> 2013-2019 7.3348565 9561.0503
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 3.5859901 8425.4362 10.027561 1982-1999 –> 2000-2012 7.0712048 19701.4868
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.3145143 8179.8188 10.520585 1982-1999 –> 2000-2012 6.4936425 19067.7721
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.3145143 8179.8188 10.520585 1982-1999 –> 2000-2012 6.4936425 19067.7721
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3145143 8179.8188 10.520585 1982-1999 –> 2000-2012 6.4936425 19067.7721
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.3413378 8204.9666 10.807566 1982-1999 –> 2000-2012 6.5618817 19147.5662
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 3.3413378 8204.9666 10.807566 1982-1999 –> 2000-2012 6.5618817 19147.5662
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 3.3413378 8204.9666 10.807566 1982-1999 –> 2000-2012 6.5618817 19147.5662
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 3.4569950 8309.1353 10.935851 1982-1999 –> 2000-2012 6.7294242 19317.2124
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate_star 3.4569950 8309.1353 10.935851 1982-1999 –> 2000-2012 6.7294242 19317.2124
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.4569950 8309.1353 10.935851 1982-1999 –> 2000-2012 6.7294242 19317.2124
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.5499307 3962.2239 11.624344 2000-2012 –> 2013-2019 7.1222654 12375.7565
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.4448277 3918.0443 10.794175 2000-2012 –> 2013-2019 6.7593420 12097.8631
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.4448277 3918.0443 10.794175 2000-2012 –> 2013-2019 6.7593420 12097.8631
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4448277 3918.0443 10.794175 2000-2012 –> 2013-2019 6.7593420 12097.8631
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.4779539 3932.1126 9.635421 2000-2012 –> 2013-2019 6.8192918 12137.0792
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 3.4779539 3932.1126 9.635421 2000-2012 –> 2013-2019 6.8192918 12137.0792
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 3.4779539 3932.1126 9.635421 2000-2012 –> 2013-2019 6.8192918 12137.0792
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 3.6158596 3987.2742 11.314802 2000-2012 –> 2013-2019 7.0728546 12296.4095
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate_star 3.6158596 3987.2742 11.314802 2000-2012 –> 2013-2019 7.0728546 12296.4095
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.6158596 3987.2742 11.314802 2000-2012 –> 2013-2019 7.0728546 12296.4095
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.5229300 12532.8795 27.083041 1982-1999 –> 2000-2012 4.7945751 28227.4582
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.2083048 11821.6141 24.431305 1982-1999 –> 2000-2012 4.0228977 25943.2416
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.2083048 11821.6141 24.431305 1982-1999 –> 2000-2012 4.0228977 25943.2416
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2083048 11821.6141 24.431305 1982-1999 –> 2000-2012 4.0228977 25943.2416
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.2824865 11998.0491 19.773455 1982-1999 –> 2000-2012 4.1248866 26226.1627
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 2.2824865 11998.0491 19.773455 1982-1999 –> 2000-2012 4.1248866 26226.1627
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 2.2824865 11998.0491 19.773455 1982-1999 –> 2000-2012 4.1248866 26226.1627
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 2.3529180 12158.3363 19.498731 1982-1999 –> 2000-2012 4.2391160 26548.9549
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate_star 2.3529180 12158.3363 19.498731 1982-1999 –> 2000-2012 4.2391160 26548.9549
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.3529180 12158.3363 19.498731 1982-1999 –> 2000-2012 4.2391160 26548.9549
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 2.7703116 6898.6249 22.191902 2000-2012 –> 2013-2019 5.3706340 19592.8499
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.6182643 6739.2152 25.400147 2000-2012 –> 2013-2019 4.8265691 18560.8293
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.6182643 6739.2152 25.400147 2000-2012 –> 2013-2019 4.8265691 18560.8293
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6182643 6739.2152 25.400147 2000-2012 –> 2013-2019 4.8265691 18560.8293
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.6964753 6822.3364 22.389305 2000-2012 –> 2013-2019 4.9789618 18820.3856
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 2.6964753 6822.3364 22.389305 2000-2012 –> 2013-2019 4.9789618 18820.3856
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 2.6964753 6822.3364 22.389305 2000-2012 –> 2013-2019 4.9789618 18820.3856
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 2.8238520 6950.6822 27.989507 2000-2012 –> 2013-2019 5.1767700 19109.0185
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate_star 2.8238520 6950.6822 27.989507 2000-2012 –> 2013-2019 5.1767700 19109.0185
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.8238520 6950.6822 27.989507 2000-2012 –> 2013-2019 5.1767700 19109.0185
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 2.3210965 10482.3292 11.398495 1982-1999 –> 2000-2012 4.8065814 24761.6134
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0875930 9991.4197 9.273630 1982-1999 –> 2000-2012 3.9667985 22558.3192
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 2.2579609 10354.6452 17.978786 1982-1999 –> 2000-2012 4.7190772 24573.5913
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.9753004 9735.4214 9.239424 1982-1999 –> 2000-2012 3.6435323 21573.0454
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.9753004 9735.4214 9.239424 1982-1999 –> 2000-2012 3.6435323 21573.0454
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9753004 9735.4214 9.239424 1982-1999 –> 2000-2012 3.6435323 21573.0454
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.1148338 10051.4454 13.664354 1982-1999 –> 2000-2012 3.8857650 22254.9247
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate 2.2611987 10359.2797 17.799866 1982-1999 –> 2000-2012 4.7944846 24753.2228
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 2.1148338 10051.4454 13.664354 1982-1999 –> 2000-2012 3.8857650 22254.9247
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 2.1148338 10051.4454 13.664354 1982-1999 –> 2000-2012 3.8857650 22254.9247
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.4114269 5932.0305 14.000541 2000-2012 –> 2013-2019 4.7325234 16414.3598
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 2.4114269 5932.0305 14.000541 2000-2012 –> 2013-2019 4.7325234 16414.3598
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 2.4114269 5932.0305 14.000541 2000-2012 –> 2013-2019 4.7325234 16414.3598
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4270934 5948.6992 14.883828 2000-2012 –> 2013-2019 4.5146864 15940.1189
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.3578885 5874.2388 13.876581 2000-2012 –> 2013-2019 4.3331890 15609.6602
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.3578885 5874.2388 13.876581 2000-2012 –> 2013-2019 4.3331890 15609.6602
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3578885 5874.2388 13.876581 2000-2012 –> 2013-2019 4.3331890 15609.6602
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.6107250 6136.4302 20.427759 2000-2012 –> 2013-2019 4.7255588 16187.8755
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 2.6107250 6136.4302 20.427759 2000-2012 –> 2013-2019 4.7255588 16187.8755
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 2.6107250 6136.4302 20.427759 2000-2012 –> 2013-2019 4.7255588 16187.8755
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.8849141 12391.2978 22.454726 1982-1999 –> 2000-2012 5.5000493 29486.0028
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 2.2862750 11229.8368 11.186382 1982-1999 –> 2000-2012 4.2078681 26113.1770
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.8715160 12368.0505 22.697774 1982-1999 –> 2000-2012 5.4120701 29255.1283
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.8715160 12368.0505 22.697774 1982-1999 –> 2000-2012 5.4120701 29255.1283
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8715160 12368.0505 22.697774 1982-1999 –> 2000-2012 5.4120701 29255.1283
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 2.8875250 12393.8153 22.136811 1982-1999 –> 2000-2012 5.6809689 29959.8451
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.3794456 11429.3154 10.600622 1982-1999 –> 2000-2012 4.3155238 26366.5458
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate 2.5303391 11734.3755 10.185188 1982-1999 –> 2000-2012 4.4775261 26710.6627
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 2.3794456 11429.3154 10.600622 1982-1999 –> 2000-2012 4.3155238 26366.5458
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 2.3794456 11429.3154 10.600622 1982-1999 –> 2000-2012 4.3155238 26366.5458
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.7367783 7475.5046 24.666793 2000-2012 –> 2013-2019 6.6216924 19866.8023
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 2.9421897 6823.8006 14.681633 2000-2012 –> 2013-2019 5.2284647 18053.6373
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.7893620 7513.5973 25.813866 2000-2012 –> 2013-2019 6.6608780 19881.6478
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.7893620 7513.5973 25.813866 2000-2012 –> 2013-2019 6.6608780 19881.6478
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7893620 7513.5973 25.813866 2000-2012 –> 2013-2019 6.6608780 19881.6478
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.8267602 7538.3690 26.794841 2000-2012 –> 2013-2019 6.7142852 19932.1843
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.8960243 6780.6882 14.114523 2000-2012 –> 2013-2019 5.2754699 18210.0036
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate 3.2469202 7090.4555 12.812083 2000-2012 –> 2013-2019 5.7772593 18824.8310
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 2.8960243 6780.6882 14.114523 2000-2012 –> 2013-2019 5.2754699 18210.0036
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 2.8960243 6780.6882 14.114523 2000-2012 –> 2013-2019 5.2754699 18210.0036
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.7695022 18344.7982 25.302586 1982-1999 –> 2000-2012 5.0753255 41267.7703
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.5969033 17860.9019 21.769808 1982-1999 –> 2000-2012 4.7636531 40151.7007
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 2.7695022 18344.7982 25.302586 1982-1999 –> 2000-2012 5.0753255 41267.7703
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 2.7695022 18344.7982 25.302586 1982-1999 –> 2000-2012 5.0753255 41267.7703
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 2.7901134 18400.5562 16.128404 1982-1999 –> 2000-2012 5.0840200 41270.8742
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.5941074 17852.8013 21.972752 1982-1999 –> 2000-2012 4.7598768 40139.0013
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.5941074 17852.8013 21.972752 1982-1999 –> 2000-2012 4.7598768 40139.0013
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 2.8899670 18662.9809 19.678120 1982-1999 –> 2000-2012 5.2131427 41660.1403
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.5941074 17852.8013 21.972752 1982-1999 –> 2000-2012 4.7598768 40139.0013
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.6488317 18007.7901 24.114223 1982-1999 –> 2000-2012 4.8209797 40321.8752
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 2.9991904 10093.1928 20.482020 2000-2012 –> 2013-2019 6.0904726 29264.5770
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.0518012 10162.8206 19.948959 2000-2012 –> 2013-2019 5.8213034 28507.6188
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.9855177 10074.8976 15.644630 2000-2012 –> 2013-2019 5.5824210 27935.7995
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 3.0518012 10162.8206 19.948959 2000-2012 –> 2013-2019 5.8213034 28507.6188
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 3.0518012 10162.8206 19.948959 2000-2012 –> 2013-2019 5.8213034 28507.6188
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 3.2718311 10441.5704 14.185186 2000-2012 –> 2013-2019 6.0619445 28842.1267
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.9665985 10049.4436 15.764128 2000-2012 –> 2013-2019 5.5607059 27902.2449
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.9665985 10049.4436 15.764128 2000-2012 –> 2013-2019 5.5607059 27902.2449
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9665985 10049.4436 15.764128 2000-2012 –> 2013-2019 5.5607059 27902.2449
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.1365845 10270.5403 18.803814 2000-2012 –> 2013-2019 5.7854162 28278.3305
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.6825097 5052.1068 14.566678 1982-1999 –> 2000-2012 3.2318838 11290.0655
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate_star 2.2223063 5773.0236 12.445344 1982-1999 –> 2000-2012 3.9881562 12447.3603
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6571869 5012.7080 13.065690 1982-1999 –> 2000-2012 3.2589745 11362.1850
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1.6825097 5052.1068 14.566678 1982-1999 –> 2000-2012 3.2318838 11290.0655
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 1.6825097 5052.1068 14.566678 1982-1999 –> 2000-2012 3.2318838 11290.0655
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 1.8188583 5254.5494 14.308172 1982-1999 –> 2000-2012 3.6093386 11977.3172
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.6651339 5025.1368 13.155852 1982-1999 –> 2000-2012 3.2750218 11391.5224
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.6651339 5025.1368 13.155852 1982-1999 –> 2000-2012 3.2750218 11391.5224
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6651339 5025.1368 13.155852 1982-1999 –> 2000-2012 3.2750218 11391.5224
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7839394 5202.1873 13.100644 1982-1999 –> 2000-2012 3.4925351 11766.0412
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 2.1086919 2854.4883 13.213134 2000-2012 –> 2013-2019 4.3154009 8611.2135
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.7419292 2603.7985 14.984727 2000-2012 –> 2013-2019 3.4244389 7655.9052
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8065490 2651.5883 12.287919 2000-2012 –> 2013-2019 3.4637358 7664.2963
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1.7419292 2603.7985 14.984727 2000-2012 –> 2013-2019 3.4244389 7655.9052
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 1.7419292 2603.7985 14.984727 2000-2012 –> 2013-2019 3.4244389 7655.9052
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 2.0035138 2787.3595 13.313329 2000-2012 –> 2013-2019 3.8223721 8041.9088
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.8147710 2657.5459 12.344435 2000-2012 –> 2013-2019 3.4799048 7682.6828
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.8147710 2657.5459 12.344435 2000-2012 –> 2013-2019 3.4799048 7682.6828
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8147710 2657.5459 12.344435 2000-2012 –> 2013-2019 3.4799048 7682.6828
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8598127 2687.7116 12.393512 2000-2012 –> 2013-2019 3.6437522 7889.8989
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.6898211 6759.9029 53.036660 1982-1999 –> 2000-2012 6.7251187 15423.9310
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6929286 6761.9872 51.770459 1982-1999 –> 2000-2012 6.7739173 15477.1139
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 3.6898211 6759.9029 53.036660 1982-1999 –> 2000-2012 6.7251187 15423.9310
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 3.6898211 6759.9029 53.036660 1982-1999 –> 2000-2012 6.7251187 15423.9310
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + phosphate 3.6898682 6757.9345 52.824150 1982-1999 –> 2000-2012 6.7985203 15501.6314
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + phosphate_star 3.6898682 6757.9345 52.824150 1982-1999 –> 2000-2012 6.7985203 15501.6314
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.6885920 6759.0780 51.842587 1982-1999 –> 2000-2012 6.7722781 15477.1976
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.6885920 6759.0780 51.842587 1982-1999 –> 2000-2012 6.7722781 15477.1976
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + phosphate + phosphate_star 3.6898682 6757.9345 52.824150 1982-1999 –> 2000-2012 6.7985203 15501.6314
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6885920 6759.0780 51.842587 1982-1999 –> 2000-2012 6.7722781 15477.1976
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.2533950 3693.6708 24.458701 2000-2012 –> 2013-2019 6.9432161 10453.5737
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.3786842 3747.1776 25.710784 2000-2012 –> 2013-2019 7.0716128 10509.1648
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 3.2533950 3693.6708 24.458701 2000-2012 –> 2013-2019 6.9432161 10453.5737
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 3.2533950 3693.6708 24.458701 2000-2012 –> 2013-2019 6.9432161 10453.5737
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + phosphate 3.5559519 3817.5868 25.414800 2000-2012 –> 2013-2019 7.2458201 10575.5213
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + phosphate_star 3.5559519 3817.5868 25.414800 2000-2012 –> 2013-2019 7.2458201 10575.5213
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.3848830 3749.7732 25.267436 2000-2012 –> 2013-2019 7.0734751 10508.8512
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.3848830 3749.7732 25.267436 2000-2012 –> 2013-2019 7.0734751 10508.8512
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3848830 3749.7732 25.267436 2000-2012 –> 2013-2019 7.0734751 10508.8512
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 3.3930561 3751.1881 23.807090 2000-2012 –> 2013-2019 7.2051930 10589.8381
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 3.6667041 10194.4960 31.363408 1982-1999 –> 2000-2012 7.1149842 24048.4977
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.6140011 10142.2626 29.378529 1982-1999 –> 2000-2012 6.9296511 23793.9181
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 3.6140011 10142.2626 29.378529 1982-1999 –> 2000-2012 6.9296511 23793.9181
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 3.6140011 10142.2626 29.378529 1982-1999 –> 2000-2012 6.9296511 23793.9181
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.6480587 10177.3989 31.463378 1982-1999 –> 2000-2012 7.0893145 24022.7765
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 3.5785544 10105.3398 24.883401 1982-1999 –> 2000-2012 7.2024700 24220.1717
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 3.5785544 10105.3398 24.883401 1982-1999 –> 2000-2012 7.2024700 24220.1717
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.4359663 9953.0247 25.417433 1982-1999 –> 2000-2012 6.7771577 23644.6605
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 3.4359663 9953.0247 25.417433 1982-1999 –> 2000-2012 6.7771577 23644.6605
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 3.4359663 9953.0247 25.417433 1982-1999 –> 2000-2012 6.7771577 23644.6605
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 3.1653097 5072.1008 31.110480 2000-2012 –> 2013-2019 6.8320137 15266.5968
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.1615128 5071.7387 30.605508 2000-2012 –> 2013-2019 6.7755139 15214.0013
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 3.1615128 5071.7387 30.605508 2000-2012 –> 2013-2019 6.7755139 15214.0013
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 3.1615128 5071.7387 30.605508 2000-2012 –> 2013-2019 6.7755139 15214.0013
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.3363941 5177.6957 25.012098 2000-2012 –> 2013-2019 6.9149484 15283.0356
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.1369169 5056.3682 31.240373 2000-2012 –> 2013-2019 6.7849756 15233.7671
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 3.3363941 5177.6957 25.012098 2000-2012 –> 2013-2019 6.9149484 15283.0356
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.2161937 5105.4858 26.217263 2000-2012 –> 2013-2019 6.6521599 15058.5106
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 3.2161937 5105.4858 26.217263 2000-2012 –> 2013-2019 6.6521599 15058.5106
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 3.2161937 5105.4858 26.217263 2000-2012 –> 2013-2019 6.6521599 15058.5106
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.1333456 3877.3694 7.028126 1982-1999 –> 2000-2012 2.1700091 8660.6823
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1765015 3970.8722 7.269305 1982-1999 –> 2000-2012 2.2369827 8828.6461
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1.1333456 3877.3694 7.028126 1982-1999 –> 2000-2012 2.1700091 8660.6823
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 1.1333456 3877.3694 7.028126 1982-1999 –> 2000-2012 2.1700091 8660.6823
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + phosphate 1.1566552 3926.3062 7.730772 1982-1999 –> 2000-2012 2.1978100 8721.7900
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + phosphate_star 1.1566552 3926.3062 7.730772 1982-1999 –> 2000-2012 2.1978100 8721.7900
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.1514385 3916.9963 7.337089 1982-1999 –> 2000-2012 2.1925930 8714.4792
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.1514385 3916.9963 7.337089 1982-1999 –> 2000-2012 2.1925930 8714.4792
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.1566552 3926.3062 7.730772 1982-1999 –> 2000-2012 2.1978100 8721.7900
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1514385 3916.9963 7.337089 1982-1999 –> 2000-2012 2.1925930 8714.4792
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.2015982 2235.1912 7.074159 2000-2012 –> 2013-2019 2.3349438 6112.5606
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2625424 2303.7635 7.403175 2000-2012 –> 2013-2019 2.4390438 6274.6357
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1.2015982 2235.1912 7.074159 2000-2012 –> 2013-2019 2.3349438 6112.5606
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 1.2015982 2235.1912 7.074159 2000-2012 –> 2013-2019 2.3349438 6112.5606
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + phosphate 1.2569957 2295.6610 8.240693 2000-2012 –> 2013-2019 2.4136509 6221.9671
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + phosphate_star 1.2569957 2295.6610 8.240693 2000-2012 –> 2013-2019 2.4136509 6221.9671
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.2343138 2272.4229 7.428694 2000-2012 –> 2013-2019 2.3857523 6189.4192
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.2343138 2272.4229 7.428694 2000-2012 –> 2013-2019 2.3857523 6189.4192
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.2569957 2295.6610 8.240693 2000-2012 –> 2013-2019 2.4136509 6221.9671
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2343138 2272.4229 7.428694 2000-2012 –> 2013-2019 2.3857523 6189.4192
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.8049840 3374.8077 5.364124 1982-1999 –> 2000-2012 1.4977985 7358.8503
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 0.8168537 3413.7344 5.415135 1982-1999 –> 2000-2012 1.5096886 7395.8884
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.8127139 3401.5284 5.436958 1982-1999 –> 2000-2012 1.5031113 7372.3809
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 0.8049840 3374.8077 5.364124 1982-1999 –> 2000-2012 1.4977985 7358.8503
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 0.8049840 3374.8077 5.364124 1982-1999 –> 2000-2012 1.4977985 7358.8503
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + phosphate_star 0.8094433 3388.2539 5.337970 1982-1999 –> 2000-2012 1.5291408 7513.9673
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.7991765 3354.5633 5.281963 1982-1999 –> 2000-2012 1.4793572 7269.1497
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.7991765 3354.5633 5.281963 1982-1999 –> 2000-2012 1.4793572 7269.1497
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.8094433 3388.2539 5.337970 1982-1999 –> 2000-2012 1.5291408 7513.9673
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7991765 3354.5633 5.281963 1982-1999 –> 2000-2012 1.4793572 7269.1497
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.8870277 1863.8607 6.883116 2000-2012 –> 2013-2019 1.6920117 5238.6684
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.9073146 1896.0617 7.191330 2000-2012 –> 2013-2019 1.7200285 5297.5901
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 0.8870277 1863.8607 6.883116 2000-2012 –> 2013-2019 1.6920117 5238.6684
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 0.8870277 1863.8607 6.883116 2000-2012 –> 2013-2019 1.6920117 5238.6684
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + phosphate 0.8879019 1863.2634 6.924296 2000-2012 –> 2013-2019 1.6973452 5251.5173
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + phosphate_star 0.8879019 1863.2634 6.924296 2000-2012 –> 2013-2019 1.6973452 5251.5173
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.8876626 1864.8796 6.919523 2000-2012 –> 2013-2019 1.6868392 5219.4429
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.8876626 1864.8796 6.919523 2000-2012 –> 2013-2019 1.6868392 5219.4429
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.8879019 1863.2634 6.924296 2000-2012 –> 2013-2019 1.6973452 5251.5173
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8876626 1864.8796 6.919523 2000-2012 –> 2013-2019 1.6868392 5219.4429
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.6679281 4101.8544 7.267148 1982-1999 –> 2000-2012 1.2240380 8870.7553
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + nitrate 0.6711718 4119.3591 7.873884 1982-1999 –> 2000-2012 1.2274185 8887.6644
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 0.6679281 4101.8544 7.267148 1982-1999 –> 2000-2012 1.2240380 8870.7553
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 0.6679281 4101.8544 7.267148 1982-1999 –> 2000-2012 1.2240380 8870.7553
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 0.6711678 4121.3350 7.900489 1982-1999 –> 2000-2012 1.2248317 8865.0474
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 0.7322460 4469.9892 11.502585 1982-1999 –> 2000-2012 1.3110398 9465.3370
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.7233772 4422.9290 12.209051 1982-1999 –> 2000-2012 1.2895617 9294.4191
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate 0.7233772 4420.9291 12.207751 1982-1999 –> 2000-2012 1.2903393 9298.2614
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 0.7233772 4422.9290 12.209051 1982-1999 –> 2000-2012 1.2895617 9294.4191
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 0.7233772 4422.9290 12.209051 1982-1999 –> 2000-2012 1.2895617 9294.4191
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.7480786 2447.4584 5.678977 2000-2012 –> 2013-2019 1.4160067 6549.3128
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.8121334 2624.5880 6.619729 2000-2012 –> 2013-2019 1.5440099 7094.5450
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + nitrate 0.7673623 2500.3308 6.871484 2000-2012 –> 2013-2019 1.4385341 6619.6899
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 0.7480786 2447.4584 5.678977 2000-2012 –> 2013-2019 1.4160067 6549.3128
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 0.7480786 2447.4584 5.678977 2000-2012 –> 2013-2019 1.4160067 6549.3128
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 0.7602435 2482.2364 5.961468 2000-2012 –> 2013-2019 1.4314113 6603.5713
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.8803387 2798.4525 11.075788 2000-2012 –> 2013-2019 1.6037159 7221.3815
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate 0.8813668 2798.9689 11.311122 2000-2012 –> 2013-2019 1.6047440 7219.8980
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 0.8803387 2798.4525 11.075788 2000-2012 –> 2013-2019 1.6037159 7221.3815
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 0.8803387 2798.4525 11.075788 2000-2012 –> 2013-2019 1.6037159 7221.3815
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 0.4540941 5333.1706 6.762120 1982-1999 –> 2000-2012 0.9727782 14396.2645
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate 0.4609918 5458.5610 6.430852 1982-1999 –> 2000-2012 0.9884293 14718.2687
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 0.4540941 5333.1706 6.762120 1982-1999 –> 2000-2012 0.9727782 14396.2645
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 0.4540941 5333.1706 6.762120 1982-1999 –> 2000-2012 0.9727782 14396.2645
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.3379706 2837.5014 2.209241 1982-1999 –> 2000-2012 0.6389390 5440.9641
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.5229331 6525.8802 2.014189 1982-1999 –> 2000-2012 0.9707675 13845.9018
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate 0.3560293 3275.3576 2.041848 1982-1999 –> 2000-2012 0.6637767 6141.1680
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 0.3379706 2837.5014 2.209241 1982-1999 –> 2000-2012 0.6389390 5440.9641
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 0.3379706 2837.5014 2.209241 1982-1999 –> 2000-2012 0.6389390 5440.9641
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 0.3504187 3143.1352 2.135187 1982-1999 –> 2000-2012 0.6531403 5815.5300
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 0.4582300 3073.2298 5.022195 2000-2012 –> 2013-2019 0.9127205 8411.7743
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 0.4576154 3068.7960 5.176931 2000-2012 –> 2013-2019 0.9117095 8401.9666
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + phosphate 0.4582300 3073.2298 5.022195 2000-2012 –> 2013-2019 0.9127205 8411.7743
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 0.4576154 3068.7960 5.176931 2000-2012 –> 2013-2019 0.9117095 8401.9666
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 0.4576154 3068.7960 5.176931 2000-2012 –> 2013-2019 0.9117095 8401.9666
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.3777333 2149.1120 2.771424 2000-2012 –> 2013-2019 0.7157039 4986.6135
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate 0.4244131 2705.7032 2.560542 2000-2012 –> 2013-2019 0.7804424 5981.0608
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 0.3777333 2149.1120 2.771424 2000-2012 –> 2013-2019 0.7157039 4986.6135
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 0.3777333 2149.1120 2.771424 2000-2012 –> 2013-2019 0.7157039 4986.6135
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 0.4035030 2465.4944 2.684870 2000-2012 –> 2013-2019 0.7539217 5608.6295
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6.1369641 36343.0072 34.054990 1982-1999 –> 2000-2012 12.5721086 86781.5633
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6.4521690 36905.7755 32.726328 1982-1999 –> 2000-2012 13.3217883 88348.5214
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 6.1369641 36343.0072 34.054990 1982-1999 –> 2000-2012 12.5721086 86781.5633
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 6.1369641 36343.0072 34.054990 1982-1999 –> 2000-2012 12.5721086 86781.5633
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + phosphate 6.5004682 36987.5719 30.432796 1982-1999 –> 2000-2012 13.2889149 88245.6217
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + phosphate_star 6.5004682 36987.5719 30.432796 1982-1999 –> 2000-2012 13.2889149 88245.6217
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 6.4520118 36905.5018 29.937685 1982-1999 –> 2000-2012 13.1783795 88024.3492
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 6.4520118 36905.5018 29.937685 1982-1999 –> 2000-2012 13.1783795 88024.3492
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 6.5004682 36987.5719 30.432796 1982-1999 –> 2000-2012 13.2889149 88245.6217
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.4520118 36905.5018 29.937685 1982-1999 –> 2000-2012 13.1783795 88024.3492
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5.8363044 18895.7715 29.341398 2000-2012 –> 2013-2019 11.9732685 55238.7787
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.9978940 19055.7781 27.345614 2000-2012 –> 2013-2019 12.4545857 55967.4267
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.9955754 19055.4845 27.200018 2000-2012 –> 2013-2019 12.4477444 55961.2600
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 5.8363044 18895.7715 29.341398 2000-2012 –> 2013-2019 11.9732685 55238.7787
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 5.8363044 18895.7715 29.341398 2000-2012 –> 2013-2019 11.9732685 55238.7787
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 6.1120038 19169.5741 24.949991 2000-2012 –> 2013-2019 12.5640157 56075.0760
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 6.1120038 19169.5741 24.949991 2000-2012 –> 2013-2019 12.5640157 56075.0760
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 6.1930562 19245.7224 25.777825 2000-2012 –> 2013-2019 12.6935244 56233.2943
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.1120038 19169.5741 24.949991 2000-2012 –> 2013-2019 12.5640157 56075.0760
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 6.1129613 19168.5034 25.112435 2000-2012 –> 2013-2019 12.6038050 56139.4271
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.8814792 35910.4138 52.724275 1982-1999 –> 2000-2012 9.3687536 84650.6043
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 4.8814792 35910.4138 52.724275 1982-1999 –> 2000-2012 9.3687536 84650.6043
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 4.8814792 35910.4138 52.724275 1982-1999 –> 2000-2012 9.3687536 84650.6043
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.7055211 35471.7817 39.423783 1982-1999 –> 2000-2012 9.1078292 83892.9940
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.7055211 35471.7817 39.423783 1982-1999 –> 2000-2012 9.1078292 83892.9940
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7055211 35471.7817 39.423783 1982-1999 –> 2000-2012 9.1078292 83892.9940
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.8173171 35752.3282 50.897830 1982-1999 –> 2000-2012 9.2892156 84435.2449
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 4.8173171 35752.3282 50.897830 1982-1999 –> 2000-2012 9.2892156 84435.2449
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 4.8173171 35752.3282 50.897830 1982-1999 –> 2000-2012 9.2892156 84435.2449
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 5.0021764 36200.2413 50.654439 1982-1999 –> 2000-2012 9.7072225 85729.1828
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.8933904 19035.1681 50.266735 2000-2012 –> 2013-2019 9.7748696 54945.5819
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.7937328 18905.0044 37.001566 2000-2012 –> 2013-2019 9.7285730 54945.3169
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 4.8933904 19035.1681 50.266735 2000-2012 –> 2013-2019 9.7748696 54945.5819
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.7403369 18834.1457 36.682469 2000-2012 –> 2013-2019 9.4458580 54305.9273
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.7403369 18834.1457 36.682469 2000-2012 –> 2013-2019 9.4458580 54305.9273
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7403369 18834.1457 36.682469 2000-2012 –> 2013-2019 9.4458580 54305.9273
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.8209449 18938.8131 35.204419 2000-2012 –> 2013-2019 9.7561731 54978.0648
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.6986388 18778.2532 44.741204 2000-2012 –> 2013-2019 9.5159559 54530.5814
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 4.6986388 18778.2532 44.741204 2000-2012 –> 2013-2019 9.5159559 54530.5814
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 4.6986388 18778.2532 44.741204 2000-2012 –> 2013-2019 9.5159559 54530.5814
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.3101221 28715.1308 25.351795 1982-1999 –> 2000-2012 8.3669762 67822.1876
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.3558684 28818.3495 29.623845 1982-1999 –> 2000-2012 8.4247316 67964.3918
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.2059512 28471.3051 25.457852 1982-1999 –> 2000-2012 8.2380439 67493.4699
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 4.3101221 28715.1308 25.351795 1982-1999 –> 2000-2012 8.3669762 67822.1876
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 4.3101221 28715.1308 25.351795 1982-1999 –> 2000-2012 8.3669762 67822.1876
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.3227555 28744.2995 22.662236 1982-1999 –> 2000-2012 8.3705239 67820.2670
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.3227555 28744.2995 22.662236 1982-1999 –> 2000-2012 8.3705239 67820.2670
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.3227555 28744.2995 22.662236 1982-1999 –> 2000-2012 8.3705239 67820.2670
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 4.3733096 28858.1744 24.620781 1982-1999 –> 2000-2012 8.4382350 67990.7907
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.3481128 28802.5893 29.798287 1982-1999 –> 2000-2012 8.5412101 68367.6654
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.6026550 15914.1969 29.813836 2000-2012 –> 2013-2019 8.9127771 44629.3277
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.5305607 15828.9753 33.448696 2000-2012 –> 2013-2019 8.7365118 44300.2804
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 4.6026550 15914.1969 29.813836 2000-2012 –> 2013-2019 8.9127771 44629.3277
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 4.6026550 15914.1969 29.813836 2000-2012 –> 2013-2019 8.9127771 44629.3277
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.6524894 15972.3285 26.300399 2000-2012 –> 2013-2019 8.9752449 44716.6280
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.6524894 15972.3285 26.300399 2000-2012 –> 2013-2019 8.9752449 44716.6280
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6524894 15972.3285 26.300399 2000-2012 –> 2013-2019 8.9752449 44716.6280
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.6233018 15938.3573 34.223604 2000-2012 –> 2013-2019 8.9714146 44740.9466
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 4.6233018 15938.3573 34.223604 2000-2012 –> 2013-2019 8.9714146 44740.9466
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 4.6233018 15938.3573 34.223604 2000-2012 –> 2013-2019 8.9714146 44740.9466
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.7659349 36583.9039 22.692853 1982-1999 –> 2000-2012 8.9410543 85556.4245
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 4.7659349 36583.9039 22.692853 1982-1999 –> 2000-2012 8.9410543 85556.4245
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 4.7659349 36583.9039 22.692853 1982-1999 –> 2000-2012 8.9410543 85556.4245
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + phosphate 4.8270931 36738.3550 21.354008 1982-1999 –> 2000-2012 9.0452926 85885.3385
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + phosphate_star 4.8270931 36738.3550 21.354008 1982-1999 –> 2000-2012 9.0452926 85885.3385
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.7909596 36648.1617 19.879630 1982-1999 –> 2000-2012 8.9806257 85680.4708
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.7909596 36648.1617 19.879630 1982-1999 –> 2000-2012 8.9806257 85680.4708
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + phosphate + phosphate_star 4.8270931 36738.3550 21.354008 1982-1999 –> 2000-2012 9.0452926 85885.3385
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7909596 36648.1617 19.879630 1982-1999 –> 2000-2012 8.9806257 85680.4708
Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.8520577 36803.6493 20.638778 1982-1999 –> 2000-2012 9.2371016 86619.4543
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5.1236546 20028.1995 24.356465 2000-2012 –> 2013-2019 9.8895896 56612.1034
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 5.1236546 20028.1995 24.356465 2000-2012 –> 2013-2019 9.8895896 56612.1034
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 5.1236546 20028.1995 24.356465 2000-2012 –> 2013-2019 9.8895896 56612.1034
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + phosphate 5.1943369 20116.0232 22.193470 2000-2012 –> 2013-2019 10.0214300 56854.3782
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + phosphate_star 5.1943369 20116.0232 22.193470 2000-2012 –> 2013-2019 10.0214300 56854.3782
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5.1689570 20085.9117 20.758325 2000-2012 –> 2013-2019 9.9599166 56734.0734
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5.1689570 20085.9117 20.758325 2000-2012 –> 2013-2019 9.9599166 56734.0734
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + phosphate + phosphate_star 5.1943369 20116.0232 22.193470 2000-2012 –> 2013-2019 10.0214300 56854.3782
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.1689570 20085.9117 20.758325 2000-2012 –> 2013-2019 9.9599166 56734.0734
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 5.2131782 20141.7606 20.236446 2000-2012 –> 2013-2019 10.0652359 56945.4098
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.6445272 45952.5578 75.011259 1982-1999 –> 2000-2012 8.2923633 104086.0006
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.6875333 46095.8627 39.776509 1982-1999 –> 2000-2012 8.6326854 105907.7910
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.6875333 46095.8627 39.776509 1982-1999 –> 2000-2012 8.6326854 105907.7910
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6875333 46095.8627 39.776509 1982-1999 –> 2000-2012 8.6326854 105907.7910
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.1508034 44205.1545 50.909898 1982-1999 –> 2000-2012 7.6365466 101364.9056
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.6885919 46097.3735 74.666491 1982-1999 –> 2000-2012 8.3845011 104509.2823
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 4.1508034 44205.1545 50.909898 1982-1999 –> 2000-2012 7.6365466 101364.9056
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 4.1508034 44205.1545 50.909898 1982-1999 –> 2000-2012 7.6365466 101364.9056
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate 4.6885848 46097.3497 39.304596 1982-1999 –> 2000-2012 8.6479291 105984.2034
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.6885848 46097.3497 39.304596 1982-1999 –> 2000-2012 8.6479291 105984.2034
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 5.3329658 25765.0363 23.274900 2000-2012 –> 2013-2019 10.0825380 72065.3245
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5.3928334 25857.9827 33.129925 2000-2012 –> 2013-2019 10.0803668 71953.8454
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5.3928334 25857.9827 33.129925 2000-2012 –> 2013-2019 10.0803668 71953.8454
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.3928334 25857.9827 33.129925 2000-2012 –> 2013-2019 10.0803668 71953.8454
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5.0059229 25238.1192 40.194764 2000-2012 –> 2013-2019 9.1567263 69443.2737
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 5.0059229 25238.1192 40.194764 2000-2012 –> 2013-2019 9.1567263 69443.2737
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 5.0059229 25238.1192 40.194764 2000-2012 –> 2013-2019 9.1567263 69443.2737
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate 5.3936438 25857.2339 32.776574 2000-2012 –> 2013-2019 10.0822286 71954.5835
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate_star 5.3936438 25857.2339 32.776574 2000-2012 –> 2013-2019 10.0822286 71954.5835
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5.3936438 25857.2339 32.776574 2000-2012 –> 2013-2019 10.0822286 71954.5835
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.3436439 38621.4480 32.021059 1982-1999 –> 2000-2012 6.1620863 87070.1131
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 3.3436439 38621.4480 32.021059 1982-1999 –> 2000-2012 6.1620863 87070.1131
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 3.3436439 38621.4480 32.021059 1982-1999 –> 2000-2012 6.1620863 87070.1131
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate_star 3.6841067 40045.0553 31.160905 1982-1999 –> 2000-2012 6.6782498 89684.7454
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.5492843 39498.9338 33.569547 1982-1999 –> 2000-2012 6.5016885 88863.6767
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.5492843 39498.9338 33.569547 1982-1999 –> 2000-2012 6.5016885 88863.6767
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5492843 39498.9338 33.569547 1982-1999 –> 2000-2012 6.5016885 88863.6767
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.5808266 39629.0125 33.735499 1982-1999 –> 2000-2012 6.5862733 89345.0402
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 3.5808266 39629.0125 33.735499 1982-1999 –> 2000-2012 6.5862733 89345.0402
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 3.5808266 39629.0125 33.735499 1982-1999 –> 2000-2012 6.5862733 89345.0402
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.8703544 21687.7212 30.480276 2000-2012 –> 2013-2019 7.2139983 60309.1692
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 3.8703544 21687.7212 30.480276 2000-2012 –> 2013-2019 7.2139983 60309.1692
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 3.8703544 21687.7212 30.480276 2000-2012 –> 2013-2019 7.2139983 60309.1692
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.9472663 21841.5573 35.267815 2000-2012 –> 2013-2019 7.4434747 61118.9773
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.1066786 22151.0822 33.387214 2000-2012 –> 2013-2019 7.6559629 61650.0160
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.1066786 22151.0822 33.387214 2000-2012 –> 2013-2019 7.6559629 61650.0160
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 4.1120690 22159.3373 34.196766 2000-2012 –> 2013-2019 7.7059173 61839.7167
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1066786 22151.0822 33.387214 2000-2012 –> 2013-2019 7.6559629 61650.0160
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.1523852 22237.6146 31.779135 2000-2012 –> 2013-2019 7.7332119 61866.6271
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 4.1523852 22237.6146 31.779135 2000-2012 –> 2013-2019 7.7332119 61866.6271
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.2030143 40278.2850 27.492704 1982-1999 –> 2000-2012 5.4567943 88212.5332
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 3.2030143 40278.2850 27.492704 1982-1999 –> 2000-2012 5.4567943 88212.5332
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 3.2030143 40278.2850 27.492704 1982-1999 –> 2000-2012 5.4567943 88212.5332
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.0046011 39281.4712 13.392647 1982-1999 –> 2000-2012 5.3074291 87678.0356
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.2472499 40492.0922 24.685745 1982-1999 –> 2000-2012 5.5601714 88982.5727
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 3.0566617 39549.2508 11.387437 1982-1999 –> 2000-2012 5.5204199 89396.3826
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.0476098 39503.0203 9.397780 1982-1999 –> 2000-2012 5.3021483 87444.4940
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.0476098 39503.0203 9.397780 1982-1999 –> 2000-2012 5.3021483 87444.4940
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.0631121 39580.1107 12.814094 1982-1999 –> 2000-2012 5.3715286 88026.7251
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0476098 39503.0203 9.397780 1982-1999 –> 2000-2012 5.3021483 87444.4940
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.8818899 22932.1024 31.052591 2000-2012 –> 2013-2019 7.0849041 63210.3874
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 3.8818899 22932.1024 31.052591 2000-2012 –> 2013-2019 7.0849041 63210.3874
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 3.8818899 22932.1024 31.052591 2000-2012 –> 2013-2019 7.0849041 63210.3874
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.5746374 22251.1613 18.422838 2000-2012 –> 2013-2019 6.5792385 61532.6325
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 3.5368997 22163.5174 10.511258 2000-2012 –> 2013-2019 6.5935614 61712.7683
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate 3.5842384 22271.3114 10.606838 2000-2012 –> 2013-2019 6.6768257 62000.7028
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.5747323 22251.3804 10.907617 2000-2012 –> 2013-2019 6.6223421 61754.4007
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.5747323 22251.3804 10.907617 2000-2012 –> 2013-2019 6.6223421 61754.4007
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.6764968 22481.1829 17.935126 2000-2012 –> 2013-2019 6.7396089 62061.2936
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5747323 22251.3804 10.907617 2000-2012 –> 2013-2019 6.6223421 61754.4007
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.6467606 15731.2467 24.736227 1982-1999 –> 2000-2012 4.7461667 35004.7731
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.6561934 15754.6200 23.637730 1982-1999 –> 2000-2012 4.7537252 35020.1848
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.6561934 15754.6200 23.637730 1982-1999 –> 2000-2012 4.7537252 35020.1848
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6561934 15754.6200 23.637730 1982-1999 –> 2000-2012 4.7537252 35020.1848
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 2.6677616 15781.1714 25.028220 1982-1999 –> 2000-2012 4.7671809 35052.7536
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.6592987 15762.2964 23.729702 1982-1999 –> 2000-2012 4.7574161 35030.3490
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.6593135 15760.3330 23.663705 1982-1999 –> 2000-2012 4.7609594 35041.3641
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 2.6592987 15762.2964 23.729702 1982-1999 –> 2000-2012 4.7574161 35030.3490
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 2.6592987 15762.2964 23.729702 1982-1999 –> 2000-2012 4.7574161 35030.3490
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + silicate + phosphate_star 2.6742233 15797.0656 22.252997 1982-1999 –> 2000-2012 4.7746561 35072.9500
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.0804742 9330.2088 30.042474 2000-2012 –> 2013-2019 5.7311364 25071.1335
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.0828431 9331.0238 29.216505 2000-2012 –> 2013-2019 5.7338757 25070.8666
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 3.0804742 9330.2088 30.042474 2000-2012 –> 2013-2019 5.7311364 25071.1335
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 3.0804742 9330.2088 30.042474 2000-2012 –> 2013-2019 5.7311364 25071.1335
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate_star 3.1047580 9356.9638 28.278040 2000-2012 –> 2013-2019 5.7641736 25117.5490
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.1047580 9356.9638 28.278040 2000-2012 –> 2013-2019 5.7641736 25117.5490
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.0827974 9332.9695 29.138730 2000-2012 –> 2013-2019 5.7295579 25064.2162
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.1047122 9358.9097 28.180344 2000-2012 –> 2013-2019 5.7609056 25113.5296
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.1047122 9358.9097 28.180344 2000-2012 –> 2013-2019 5.7609056 25113.5296
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1047122 9358.9097 28.180344 2000-2012 –> 2013-2019 5.7609056 25113.5296
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.7415351 19661.8334 30.696421 1982-1999 –> 2000-2012 4.8598924 43853.6270
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.7582987 19711.1748 33.775588 1982-1999 –> 2000-2012 4.8681472 43858.1163
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 2.7415351 19661.8334 30.696421 1982-1999 –> 2000-2012 4.8598924 43853.6270
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 2.7415351 19661.8334 30.696421 1982-1999 –> 2000-2012 4.8598924 43853.6270
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 2.7445104 19668.6126 30.353119 1982-1999 –> 2000-2012 4.8631000 43859.6282
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.7444919 19670.5582 30.323963 1982-1999 –> 2000-2012 4.8553753 43822.9643
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + phosphate 2.7445104 19668.6126 30.353119 1982-1999 –> 2000-2012 4.8631000 43859.6282
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + phosphate_star 2.7445104 19668.6126 30.353119 1982-1999 –> 2000-2012 4.8631000 43859.6282
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 2.7444919 19670.5582 30.323963 1982-1999 –> 2000-2012 4.8553753 43822.9643
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 2.7444919 19670.5582 30.323963 1982-1999 –> 2000-2012 4.8553753 43822.9643
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate 3.1006310 10938.5313 38.904682 2000-2012 –> 2013-2019 5.8425640 30599.5392
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.0922160 10928.8888 37.488990 2000-2012 –> 2013-2019 5.8337511 30590.7222
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate 3.0891329 10922.6153 38.170291 2000-2012 –> 2013-2019 5.8479314 30633.2568
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.0890477 10924.4972 37.952627 2000-2012 –> 2013-2019 5.8308982 30587.2615
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.0826259 10915.5819 37.073345 2000-2012 –> 2013-2019 5.8409245 30626.7566
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate 3.0940306 10929.4021 37.199031 2000-2012 –> 2013-2019 5.8472273 30623.5916
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 3.0922160 10928.8888 37.488990 2000-2012 –> 2013-2019 5.8337511 30590.7222
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 3.0922160 10928.8888 37.488990 2000-2012 –> 2013-2019 5.8337511 30590.7222
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 3.0851159 10919.0410 36.456933 2000-2012 –> 2013-2019 5.8383122 30615.2293
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 3.1049330 10946.4710 35.486032 2000-2012 –> 2013-2019 5.8494249 30617.0292
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 2.2436028 17828.1719 8.852520 1982-1999 –> 2000-2012 4.2347576 41525.9800
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2.2006015 17675.3541 8.412618 1982-1999 –> 2000-2012 4.1917126 41374.9155
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.2419974 17824.4454 8.822692 1982-1999 –> 2000-2012 4.2017336 41345.5145
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 2.2427770 17827.2269 8.853713 1982-1999 –> 2000-2012 4.1982997 41324.1075
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate 2.2587610 17882.0396 8.624151 1982-1999 –> 2000-2012 4.2747670 41719.2390
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.2584202 17882.8325 8.669948 1982-1999 –> 2000-2012 4.2270436 41454.7490
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.2584202 17882.8325 8.669948 1982-1999 –> 2000-2012 4.2270436 41454.7490
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate 2.2613688 17891.2706 8.718979 1982-1999 –> 2000-2012 4.2547756 41601.7815
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2584202 17882.8325 8.669948 1982-1999 –> 2000-2012 4.2270436 41454.7490
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 2.2644434 17902.1400 8.476091 1982-1999 –> 2000-2012 4.2518453 41578.7467
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate 2.4073935 10171.4706 8.183038 2000-2012 –> 2013-2019 4.6576693 28023.4009
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.4005422 10160.8678 8.352003 2000-2012 –> 2013-2019 4.6503416 28013.1045
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 2.4800741 10302.9977 8.895172 2000-2012 –> 2013-2019 4.7236769 28131.1695
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2.3815966 10125.8301 8.213024 2000-2012 –> 2013-2019 4.5821981 27801.1842
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4526233 10255.7797 8.813300 2000-2012 –> 2013-2019 4.6946206 28080.2251
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 2.4005422 10160.8678 8.352003 2000-2012 –> 2013-2019 4.6503416 28013.1045
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 2.4005422 10160.8678 8.352003 2000-2012 –> 2013-2019 4.6503416 28013.1045
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 2.4746325 10295.2846 8.898955 2000-2012 –> 2013-2019 4.7174095 28122.5115
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.4690447 10285.2882 9.057342 2000-2012 –> 2013-2019 4.7274648 28168.1207
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.4690447 10285.2882 9.057342 2000-2012 –> 2013-2019 4.7274648 28168.1207
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate 1.9284336 10726.4877 8.692024 1982-1999 –> 2000-2012 3.5588480 25096.3855
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.9170418 10697.9040 8.591907 1982-1999 –> 2000-2012 3.5417232 25043.2913
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 1.9170418 10697.9040 8.591907 1982-1999 –> 2000-2012 3.5417232 25043.2913
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1.9170418 10697.9040 8.591907 1982-1999 –> 2000-2012 3.5417232 25043.2913
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.9179397 10698.3211 8.633406 1982-1999 –> 2000-2012 3.5605064 25124.1057
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1.8937925 10634.9181 8.963692 1982-1999 –> 2000-2012 3.5172269 24974.5267
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.9072203 10671.3898 8.712059 1982-1999 –> 2000-2012 3.5597902 25144.8684
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.8951582 10638.6392 8.762353 1982-1999 –> 2000-2012 3.5277325 25020.5004
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.8951582 10638.6392 8.762353 1982-1999 –> 2000-2012 3.5277325 25020.5004
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8951582 10638.6392 8.762353 1982-1999 –> 2000-2012 3.5277325 25020.5004
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.0711088 6313.3645 8.505515 2000-2012 –> 2013-2019 3.9881507 17011.2686
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 2.0711088 6313.3645 8.505515 2000-2012 –> 2013-2019 3.9881507 17011.2686
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 2.0711088 6313.3645 8.505515 2000-2012 –> 2013-2019 3.9881507 17011.2686
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.0728445 6313.8223 8.661407 2000-2012 –> 2013-2019 3.9907842 17012.1434
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0624051 6301.0085 8.735205 2000-2012 –> 2013-2019 3.9696254 16972.3983
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 2.0612440 6299.3562 8.788364 2000-2012 –> 2013-2019 3.9690612 16972.3614
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate 2.0613809 6297.5511 8.799757 2000-2012 –> 2013-2019 3.9879541 17019.0565
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.0613801 6299.5499 8.800503 2000-2012 –> 2013-2019 3.9565382 16938.1891
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.0613801 6299.5499 8.800503 2000-2012 –> 2013-2019 3.9565382 16938.1891
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0613801 6299.5499 8.800503 2000-2012 –> 2013-2019 3.9565382 16938.1891
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.4354153 70934.1635 8.449386 1982-1999 –> 2000-2012 2.6823797 161601.1701
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 1.4354153 70934.1635 8.449386 1982-1999 –> 2000-2012 2.6823797 161601.1701
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1.4354153 70934.1635 8.449386 1982-1999 –> 2000-2012 2.6823797 161601.1701
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5281199 73427.1334 14.378394 1982-1999 –> 2000-2012 2.8513606 167376.6806
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.5314910 73514.9130 14.185270 1982-1999 –> 2000-2012 2.8636761 167836.9173
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.5314910 73514.9130 14.185270 1982-1999 –> 2000-2012 2.8636761 167836.9173
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5314910 73514.9130 14.185270 1982-1999 –> 2000-2012 2.8636761 167836.9173
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.5184453 73174.1397 10.078924 1982-1999 –> 2000-2012 2.7707584 164077.7898
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 1.5184453 73174.1397 10.078924 1982-1999 –> 2000-2012 2.7707584 164077.7898
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 1.5184453 73174.1397 10.078924 1982-1999 –> 2000-2012 2.7707584 164077.7898
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.6318563 40889.7931 17.025774 2000-2012 –> 2013-2019 3.0672716 111823.9566
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 1.6318563 40889.7931 17.025774 2000-2012 –> 2013-2019 3.0672716 111823.9566
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1.6318563 40889.7931 17.025774 2000-2012 –> 2013-2019 3.0672716 111823.9566
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1.7038406 41814.2505 16.464704 2000-2012 –> 2013-2019 3.2660027 116119.0319
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.7344727 42195.8521 17.075855 2000-2012 –> 2013-2019 3.2625926 115622.9856
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.7322017 42167.7935 16.574226 2000-2012 –> 2013-2019 3.2636927 115682.7065
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.7322017 42167.7935 16.574226 2000-2012 –> 2013-2019 3.2636927 115682.7065
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.7322017 42167.7935 16.574226 2000-2012 –> 2013-2019 3.2636927 115682.7065
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7349951 42200.3016 16.913655 2000-2012 –> 2013-2019 3.2667617 115720.3823
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 1.7794099 42743.6385 20.835004 2000-2012 –> 2013-2019 3.2978552 115917.7782

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
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

Version Author Date
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Version Author Date
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
nitrate oxygen phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 4 7 6 6 10 4 10
(26,26.5] 6 6 4 6 10 6 10
(26.5,26.75] 4 7 7 6 4 10 9
(26.75,27] 4 6 6 7 4 10 10
(27,27.25] 7 7 5 5 6 10 9
(27.25,27.5] 6 6 4 6 6 10 10
(27.5,27.75] 5 5 5 7 10 6 10
(27.75,27.85] 6 5 4 7 10 6 10
(27.85,27.95] 4 6 6 7 10 4 10
(27.95,28.05] 10 6 7 5 7 8 6
(28.05,28.1] 4 6 6 7 10 4 10
(28.1,28.15] 5 5 5 8 10 4 10
(28.15,28.2] 10 7 5 5 5 5 10
(28.2, Inf] 10 7 4 5 10 6 6
total 85.00 86.00 74.00 87.00 112.00 93.00 130.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 4 7 6 6 10 4 10
(26,26.5] 6 6 4 6 10 6 10
(26.5,26.75] 4 6 6 7 4 10 10
(26.75,27] 4 7 7 6 4 10 9
(27,27.25] 7 6 6 7 7 10 7
(27.25,27.5] 6 6 4 6 6 10 10
(27.5,27.75] 6 6 5 6 10 7 9
(27.75,27.85] 6 6 5 6 10 7 9
(27.85,27.95] 4 6 5 7 10 5 10
(27.95,28.05] 10 5 8 5 7 8 6
(28.05,28.1] 4 6 6 7 10 4 10
(28.1,28.15] 4 6 6 7 10 4 10
(28.15,28.2] 10 7 4 5 6 6 10
(28.2, Inf] 10 7 6 5 10 4 5
total 85.00 87.00 78.00 86.00 114.00 95.00 125.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 4 6 6 7 10 4 10
(26,26.5] 6 7 7 6 6 7 10
(26.5,26.75] 6 4 5 8 9 6 10
(26.75,27] 4 6 7 7 9 4 10
(27,27.25] 5 5 6 7 4 10 10
(27.25,27.5] 6 7 6 7 7 10 6
(27.5,27.75] 6 5 6 5 10 10 7
(27.75,27.85] 5 5 4 8 5 10 10
(27.85,27.95] 10 6 6 7 4 4 10
(27.95,28.05] 4 4 4 4 10 10 10
(28.05,28.1] 6 4 7 6 10 10 5
(28.1, Inf] 7 6 6 7 7 10 7
total 69.00 65.00 70.00 79.00 91.00 95.00 105.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 5 4 5 8 10 5 10
(26,26.5] 6 5 5 8 7 8 10
(26.5,26.75] 7 6 6 7 7 7 10
(26.75,27] 4 7 7 6 9 4 10
(27,27.25] 4 7 6 7 4 10 9
(27.25,27.5] 6 5 8 5 8 10 7
(27.5,27.75] 5 6 6 4 10 10 7
(27.75,27.85] 5 5 5 8 10 10 4
(27.85,27.95] 10 5 4 4 9 5 10
(27.95,28.05] 8 5 5 4 10 6 10
(28.05,28.1] 5 6 5 6 10 10 6
(28.1, Inf] 6 5 5 7 9 10 7
total 71.00 66.00 67.00 74.00 103.00 95.00 100.00

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
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.3      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.10             readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.1.0           jsonlite_1.7.2          
[40] zip_2.1.1                car_3.0-10               magrittr_2.0.1          
[43] Matrix_1.2-18            Rcpp_1.0.5               munsell_0.5.0           
[46] fansi_0.4.1              abind_1.4-5              lifecycle_0.2.0         
[49] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[52] carData_3.0-4            plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.2
[67] data.table_1.13.6        modelr_0.1.8             vctrs_0.3.6             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.20               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.9.1      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_1.0.1