Last updated: 2021-03-10

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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, aou, nitrate, silicate, silicate_star, 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 certain predictor combinations
# lm_rm_ph <- lm_all %>%
#   filter(str_detect(lm_coeff, "phosphate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
#   filter(
#     str_detect(lm_coeff_filter, "oxygen") &
#       str_detect(lm_coeff_filter, "phosphate")
#   )

# lm_rm_si <- lm_all %>%
#   filter(str_detect(lm_coeff, "silicate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "silicate_star")) %>%
#   filter(str_detect(lm_coeff_filter, "silicate"))

# lm_rm_o2 <- lm_all %>%
#   filter(str_detect(lm_coeff, "phosphate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
#   filter(
#     str_detect(lm_coeff_filter, "phosphate") &
#       str_detect(lm_coeff_filter, "oxygen")
#   )

# lm_rm <- bind_rows(lm_rm_ph, lm_rm_o2) %>%
#   select(-lm_coeff_filter) %>%
#   unique()


# remove temp sal predictor combination
# lm_all <- lm_all %>%
# # filter(!(
# #   str_detect(lm_coeff, "temp") &
# #     str_detect(lm_coeff, "phosphate_star")
# # )) %>%
# mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
# filter(!(str_detect(lm_coeff_filter, "nitrate") &
#            str_detect(lm_coeff_filter, "phosphate")
# )) %>%
# filter(!(
#   str_detect(lm_coeff_filter, "temp") &
#     str_detect(lm_coeff_filter, "sal")
# )) %>%
# filter(!(
#   str_detect(lm_coeff_filter, "oxygen") &
#     str_detect(lm_coeff_filter, "aou")
# )) %>%
# select(-lm_coeff_filter)

# lm_rm <- lm_rm_ph %>%
#   select(-lm_coeff_filter) %>%
#   unique()
# 
# lm_all <- anti_join(lm_all, lm_rm)

# remove helper objects
rm(
  i_gamma_slab,
  i_era,
  i_basin,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  lm_full,
  lm_rm_ph,
  lm_rm_si,
  lm_rm_o2,
  lm_rm
)

# lm_full <- lm(paste(
#   params_local$MLR_target,
#   paste(params_local$MLR_predictors, collapse = " + "),
#   sep = " ~ "
# ),
# data = GLODAP_basin_era_slab)
# 
# lm_full <-
#   loess(
#     cstar_tref ~ sal + temp + aou + phosphate,
#     span = 0.1,
#     degree = 1,
#     data = GLODAP_basin_era_slab
#   )

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:

  • 372

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)
      
      # number of observations used for each fitting model
      i_nr_obs = nrow(GLODAP_basin_era_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        #i_predictors <- unique(lm_all$predictors)[1]
        
        # 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()
        
        if (i_nr_obs > i_n_predictors) {
          # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            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,
              nr_obs = i_nr_obs,
              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
          }
        }
      }
    }
  }
}

rm(
  i_lm_fit,
  coefficients,
  i_rmse,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  i_lm,
  i_basin,
  i_era,
  i_gamma_slab,
  i_nr_obs,
  i_predictors,
  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,
    nr_obs,
    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, n_predictors, model, era, nr_obs, 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)
}

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab n_predictors model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 158 1.0382074 474.2332 3.944222 1982-1999 –> 2000-2012 2.3741051 1198.9867
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 158 1.0475856 477.0748 4.332795 1982-1999 –> 2000-2012 2.3832111 1201.7435
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 158 1.0382074 474.2332 3.944222 1982-1999 –> 2000-2012 2.3741051 1198.9867
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 158 1.0382074 474.2332 3.944222 1982-1999 –> 2000-2012 2.3741051 1198.9867
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate 158 1.0475856 477.0748 4.332795 1982-1999 –> 2000-2012 2.3832111 1201.7435
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate_star 158 1.0475856 477.0748 4.332795 1982-1999 –> 2000-2012 2.3832111 1201.7435
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 158 1.0440638 476.0107 4.148260 1982-1999 –> 2000-2012 2.3813170 1201.1861
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 158 1.0447877 476.2297 3.991338 1982-1999 –> 2000-2012 2.3809752 1201.0734
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 158 1.0447877 476.2297 3.991338 1982-1999 –> 2000-2012 2.3809752 1201.0734
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 158 1.0447877 476.2297 3.991338 1982-1999 –> 2000-2012 2.3809752 1201.0734
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 72 1.1326926 236.2692 2.855476 2000-2012 –> 2013-2019 2.1709001 710.5024
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 72 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.2417197 721.0407
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 72 1.1326926 236.2692 2.855476 2000-2012 –> 2013-2019 2.1709001 710.5024
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 72 1.1326926 236.2692 2.855476 2000-2012 –> 2013-2019 2.1709001 710.5024
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 72 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.2417197 721.0407
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 72 1.1361477 236.7078 2.802670 2000-2012 –> 2013-2019 2.1802115 712.7185
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 72 1.1377961 236.9166 2.786570 2000-2012 –> 2013-2019 2.1836250 713.4610
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 72 1.1396017 237.1449 2.772460 2000-2012 –> 2013-2019 2.1874195 714.2898
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 72 1.1396017 237.1449 2.772460 2000-2012 –> 2013-2019 2.1874195 714.2898
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 72 1.1396017 237.1449 2.772460 2000-2012 –> 2013-2019 2.1874195 714.2898
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1046 3.3042550 5482.8009 13.811611 1982-1999 –> 2000-2012 6.5688725 13433.1484
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 1046 3.3042550 5482.8009 13.811611 1982-1999 –> 2000-2012 6.5688725 13433.1484
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 1046 3.3042550 5482.8009 13.811611 1982-1999 –> 2000-2012 6.5688725 13433.1484
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1046 3.2403045 5441.9154 14.502344 1982-1999 –> 2000-2012 6.4880149 13376.4262
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star 1046 3.2403045 5441.9154 14.502344 1982-1999 –> 2000-2012 6.4880149 13376.4262
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + silicate_star 1046 3.2403045 5441.9154 14.502344 1982-1999 –> 2000-2012 6.4880149 13376.4262
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1046 3.3139957 5488.9589 14.956164 1982-1999 –> 2000-2012 6.6524475 13507.5183
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate_star 1046 3.3139957 5488.9589 14.956164 1982-1999 –> 2000-2012 6.6524475 13507.5183
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + silicate_star 1046 3.3139957 5488.9589 14.956164 1982-1999 –> 2000-2012 6.6524475 13507.5183
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + silicate_star 1046 3.3407849 5505.8019 15.174084 1982-1999 –> 2000-2012 6.7113159 13553.5288
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 567 3.2403908 2956.3132 10.534106 2000-2012 –> 2013-2019 6.5446458 8439.1141
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + nitrate + silicate 567 3.0857248 2900.8523 9.468161 2000-2012 –> 2013-2019 6.3260293 8342.7677
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star 567 3.0857248 2900.8523 9.468161 2000-2012 –> 2013-2019 6.3260293 8342.7677
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + silicate_star 567 3.0857248 2900.8523 9.468161 2000-2012 –> 2013-2019 6.3260293 8342.7677
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 567 3.1723161 2932.2362 9.432214 2000-2012 –> 2013-2019 6.4863118 8421.1950
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate_star 567 3.1723161 2932.2362 9.432214 2000-2012 –> 2013-2019 6.4863118 8421.1950
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + silicate_star 567 3.1723161 2932.2362 9.432214 2000-2012 –> 2013-2019 6.4863118 8421.1950
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + nitrate + silicate 567 3.1999712 2942.0791 9.522004 2000-2012 –> 2013-2019 6.5407562 8447.8810
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + nitrate + silicate_star 567 3.1999712 2942.0791 9.522004 2000-2012 –> 2013-2019 6.5407562 8447.8810
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + silicate_star 567 3.1999712 2942.0791 9.522004 2000-2012 –> 2013-2019 6.5407562 8447.8810
Atlantic (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1397 3.2423787 7265.1167 9.560288 1982-1999 –> 2000-2012 6.2982027 16900.6544
Atlantic (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate_star + phosphate + phosphate_star 1397 3.2423787 7265.1167 9.560288 1982-1999 –> 2000-2012 6.2982027 16900.6544
Atlantic (26.5,26.75] 5 cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 1397 3.2423787 7265.1167 9.560288 1982-1999 –> 2000-2012 6.2982027 16900.6544
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 1397 3.2423787 7265.1167 9.560288 1982-1999 –> 2000-2012 6.2982027 16900.6544
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star 1397 3.2423787 7265.1167 9.560288 1982-1999 –> 2000-2012 6.2982027 16900.6544
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 1397 3.2423787 7265.1167 9.560288 1982-1999 –> 2000-2012 6.2982027 16900.6544
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate_star 1397 3.2423787 7265.1167 9.560288 1982-1999 –> 2000-2012 6.2982027 16900.6544
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1397 3.2249399 7250.0489 10.037456 1982-1999 –> 2000-2012 6.2079736 16794.1190
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1397 3.2249399 7250.0489 10.037456 1982-1999 –> 2000-2012 6.2079736 16794.1190
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1397 3.2249399 7250.0489 10.037456 1982-1999 –> 2000-2012 6.2079736 16794.1190
Atlantic (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 656 3.3433340 3459.1900 9.454244 2000-2012 –> 2013-2019 6.5857127 10724.3067
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 656 3.3433340 3459.1900 9.454244 2000-2012 –> 2013-2019 6.5857127 10724.3067
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star 656 3.3433340 3459.1900 9.454244 2000-2012 –> 2013-2019 6.5857127 10724.3067
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 656 3.3433340 3459.1900 9.454244 2000-2012 –> 2013-2019 6.5857127 10724.3067
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 656 3.3433340 3459.1900 9.454244 2000-2012 –> 2013-2019 6.5857127 10724.3067
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate 656 3.3433340 3459.1900 9.454244 2000-2012 –> 2013-2019 6.5857127 10724.3067
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate_star 656 3.3433340 3459.1900 9.454244 2000-2012 –> 2013-2019 6.5857127 10724.3067
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 656 3.3238240 3451.5114 11.113656 2000-2012 –> 2013-2019 6.5487639 10701.5603
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 656 3.3238240 3451.5114 11.113656 2000-2012 –> 2013-2019 6.5487639 10701.5603
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 656 3.3238240 3451.5114 11.113656 2000-2012 –> 2013-2019 6.5487639 10701.5603
Atlantic (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2398 2.0422179 10243.7478 13.072427 1982-1999 –> 2000-2012 3.6820169 22274.6044
Atlantic (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate_star + phosphate + phosphate_star 2398 2.0422179 10243.7478 13.072427 1982-1999 –> 2000-2012 3.6820169 22274.6044
Atlantic (26.75,27] 5 cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2398 2.0422179 10243.7478 13.072427 1982-1999 –> 2000-2012 3.6820169 22274.6044
Atlantic (26.75,27] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate 2398 2.0422179 10243.7478 13.072427 1982-1999 –> 2000-2012 3.6820169 22274.6044
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2398 2.0001820 10143.9994 14.081577 1982-1999 –> 2000-2012 3.6531709 22225.1681
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2398 2.0001820 10143.9994 14.081577 1982-1999 –> 2000-2012 3.6531709 22225.1681
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2398 2.0001820 10143.9994 14.081577 1982-1999 –> 2000-2012 3.6531709 22225.1681
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2398 2.0860637 10345.6268 19.975942 1982-1999 –> 2000-2012 3.5995129 21872.9381
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2398 2.0860637 10345.6268 19.975942 1982-1999 –> 2000-2012 3.5995129 21872.9381
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2398 2.0860637 10345.6268 19.975942 1982-1999 –> 2000-2012 3.5995129 21872.9381
Atlantic (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1263 2.5145378 5927.4356 22.300060 2000-2012 –> 2013-2019 4.5567556 16171.1833
Atlantic (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate_star + phosphate + phosphate_star 1263 2.5145378 5927.4356 22.300060 2000-2012 –> 2013-2019 4.5567556 16171.1833
Atlantic (26.75,27] 5 cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 1263 2.5145378 5927.4356 22.300060 2000-2012 –> 2013-2019 4.5567556 16171.1833
Atlantic (26.75,27] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 1263 2.5145378 5927.4356 22.300060 2000-2012 –> 2013-2019 4.5567556 16171.1833
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1263 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.5332582 16089.9896
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1263 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.5332582 16089.9896
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1263 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.5332582 16089.9896
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1263 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.3413155 15998.1644
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1263 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.3413155 15998.1644
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1263 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.3413155 15998.1644
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2031 1.8626152 8304.2173 11.021443 1982-1999 –> 2000-2012 3.5644105 18504.3667
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate 2031 1.8626152 8304.2173 11.021443 1982-1999 –> 2000-2012 3.5644105 18504.3667
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2031 1.8904789 8364.5325 9.689213 1982-1999 –> 2000-2012 3.4604645 18143.6984
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2031 1.8904789 8364.5325 9.689213 1982-1999 –> 2000-2012 3.4604645 18143.6984
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2031 1.8904789 8364.5325 9.689213 1982-1999 –> 2000-2012 3.4604645 18143.6984
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2031 1.8979717 8380.6003 9.355072 1982-1999 –> 2000-2012 3.4547428 18115.6267
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2031 1.9187787 8424.8886 8.642107 1982-1999 –> 2000-2012 3.5002075 18241.9782
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2031 1.9234272 8434.7175 8.493771 1982-1999 –> 2000-2012 3.5167839 18291.0461
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2031 1.9234272 8434.7175 8.493771 1982-1999 –> 2000-2012 3.5167839 18291.0461
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2031 1.9234272 8434.7175 8.493771 1982-1999 –> 2000-2012 3.5167839 18291.0461
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1142 2.1593133 5013.0566 10.465472 2000-2012 –> 2013-2019 4.0219286 13317.2739
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate 1142 2.1593133 5013.0566 10.465472 2000-2012 –> 2013-2019 4.0219286 13317.2739
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 1142 2.3003827 5155.6000 13.777336 2000-2012 –> 2013-2019 4.2152027 13570.0995
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1142 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.1851737 13516.4782
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1142 2.1593133 5013.0566 10.465472 2000-2012 –> 2013-2019 4.0219286 13317.2739
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1142 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.1851737 13516.4782
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1142 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.1851737 13516.4782
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1142 2.2882847 5145.5566 14.231726 2000-2012 –> 2013-2019 4.1862565 13526.1569
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1142 2.3093184 5166.4549 14.219293 2000-2012 –> 2013-2019 4.2280971 13591.3435
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1142 2.3127467 5169.8432 14.213647 2000-2012 –> 2013-2019 4.2361739 13604.5606
Atlantic (27.25,27.5] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 2025 2.2571186 9057.7617 21.333316 1982-1999 –> 2000-2012 3.9135961 20144.1869
Atlantic (27.25,27.5] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star 2025 2.2571186 9057.7617 21.333316 1982-1999 –> 2000-2012 3.9135961 20144.1869
Atlantic (27.25,27.5] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 2025 2.2571186 9057.7617 21.333316 1982-1999 –> 2000-2012 3.9135961 20144.1869
Atlantic (27.25,27.5] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 2025 2.2571186 9057.7617 21.333316 1982-1999 –> 2000-2012 3.9135961 20144.1869
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2025 2.1403141 8842.5591 17.909272 1982-1999 –> 2000-2012 3.7787585 19865.9783
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star 2025 2.1403141 8842.5591 17.909272 1982-1999 –> 2000-2012 3.7787585 19865.9783
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + silicate_star 2025 2.1403141 8842.5591 17.909272 1982-1999 –> 2000-2012 3.7787585 19865.9783
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2025 2.1625100 8884.3428 12.574713 1982-1999 –> 2000-2012 3.8613513 20116.1247
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate_star 2025 2.1625100 8884.3428 12.574713 1982-1999 –> 2000-2012 3.8613513 20116.1247
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + silicate_star 2025 2.1625100 8884.3428 12.574713 1982-1999 –> 2000-2012 3.8613513 20116.1247
Atlantic (27.25,27.5] 5 cstar_tref ~ aou + nitrate + silicate_star + phosphate + phosphate_star 1109 2.7884162 5435.7065 20.513112 2000-2012 –> 2013-2019 5.0455349 14493.4682
Atlantic (27.25,27.5] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star 1109 2.7884162 5435.7065 20.513112 2000-2012 –> 2013-2019 5.0455349 14493.4682
Atlantic (27.25,27.5] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 1109 2.7884162 5435.7065 20.513112 2000-2012 –> 2013-2019 5.0455349 14493.4682
Atlantic (27.25,27.5] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 1109 2.7884162 5435.7065 20.513112 2000-2012 –> 2013-2019 5.0455349 14493.4682
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1109 2.7818295 5430.4610 17.251552 2000-2012 –> 2013-2019 4.9221436 14273.0201
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star 1109 2.7818295 5430.4610 17.251552 2000-2012 –> 2013-2019 4.9221436 14273.0201
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + silicate_star 1109 2.7818295 5430.4610 17.251552 2000-2012 –> 2013-2019 4.9221436 14273.0201
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1109 2.8205406 5461.1132 14.090309 2000-2012 –> 2013-2019 4.9830506 14345.4560
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate_star 1109 2.8205406 5461.1132 14.090309 2000-2012 –> 2013-2019 4.9830506 14345.4560
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + silicate_star 1109 2.8205406 5461.1132 14.090309 2000-2012 –> 2013-2019 4.9830506 14345.4560
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2804 2.3920617 12862.4560 14.587684 1982-1999 –> 2000-2012 4.4588552 28894.8448
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2804 2.4132697 12911.9574 14.216479 1982-1999 –> 2000-2012 4.4797512 28943.2189
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate_star + phosphate 2804 2.3839660 12843.4441 14.796406 1982-1999 –> 2000-2012 4.4516637 28879.0996
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 2804 2.4092938 12902.7105 14.400897 1982-1999 –> 2000-2012 4.4794481 28947.2331
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2804 2.4122515 12909.5908 14.214259 1982-1999 –> 2000-2012 4.4796273 28944.0833
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2804 2.4122515 12909.5908 14.214259 1982-1999 –> 2000-2012 4.4796273 28944.0833
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate_star + phosphate 2804 2.4048587 12892.3776 14.428218 1982-1999 –> 2000-2012 4.4743063 28934.3505
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate_star + phosphate_star 2804 2.4048587 12892.3776 14.428218 1982-1999 –> 2000-2012 4.4743063 28934.3505
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2804 2.4122515 12909.5908 14.214259 1982-1999 –> 2000-2012 4.4796273 28944.0833
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 2804 2.4048587 12892.3776 14.428218 1982-1999 –> 2000-2012 4.4743063 28934.3505
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1515 2.7078202 7331.6999 19.383046 2000-2012 –> 2013-2019 5.0921815 20176.0738
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate 1515 2.7078202 7331.6999 19.383046 2000-2012 –> 2013-2019 5.0921815 20176.0738
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1515 2.7078202 7331.6999 19.383046 2000-2012 –> 2013-2019 5.0921815 20176.0738
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 1515 2.8440453 7480.4229 15.889857 2000-2012 –> 2013-2019 5.2298715 20328.2412
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate 1515 2.8440453 7480.4229 15.889857 2000-2012 –> 2013-2019 5.2298715 20328.2412
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate_star 1515 2.8440453 7480.4229 15.889857 2000-2012 –> 2013-2019 5.2298715 20328.2412
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate_star + phosphate 1515 2.8424715 7478.7457 15.993945 2000-2012 –> 2013-2019 5.2264375 20322.1898
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate_star + phosphate 1515 2.8404338 7476.5728 17.250180 2000-2012 –> 2013-2019 5.2452924 20368.9504
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate_star + phosphate_star 1515 2.8404338 7476.5728 17.250180 2000-2012 –> 2013-2019 5.2452924 20368.9504
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 1515 2.8404338 7476.5728 17.250180 2000-2012 –> 2013-2019 5.2452924 20368.9504
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1036 1.5100084 3807.9434 14.539112 1982-1999 –> 2000-2012 3.0360994 8683.8943
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 1036 1.5578540 3872.5773 12.740813 1982-1999 –> 2000-2012 3.1520469 8863.7855
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 1036 1.5100084 3807.9434 14.539112 1982-1999 –> 2000-2012 3.0360994 8683.8943
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 1036 1.5100084 3807.9434 14.539112 1982-1999 –> 2000-2012 3.0360994 8683.8943
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate 1036 1.5578540 3872.5773 12.740813 1982-1999 –> 2000-2012 3.1520469 8863.7855
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate_star 1036 1.5578540 3872.5773 12.740813 1982-1999 –> 2000-2012 3.1520469 8863.7855
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1036 1.5197119 3821.2156 14.808950 1982-1999 –> 2000-2012 3.0586861 8719.3599
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1036 1.5430795 3852.8330 15.324821 1982-1999 –> 2000-2012 3.1087399 8796.3632
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1036 1.5430795 3852.8330 15.324821 1982-1999 –> 2000-2012 3.1087399 8796.3632
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 1036 1.5430795 3852.8330 15.324821 1982-1999 –> 2000-2012 3.1087399 8796.3632
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 513 1.7094323 2019.9324 13.736344 2000-2012 –> 2013-2019 3.2194407 5827.8758
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 513 1.7382180 2037.0658 11.972402 2000-2012 –> 2013-2019 3.2960719 5909.6431
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 513 1.7094323 2019.9324 13.736344 2000-2012 –> 2013-2019 3.2194407 5827.8758
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 513 1.7094323 2019.9324 13.736344 2000-2012 –> 2013-2019 3.2194407 5827.8758
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate 513 1.7382180 2037.0658 11.972402 2000-2012 –> 2013-2019 3.2960719 5909.6431
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate_star 513 1.7382180 2037.0658 11.972402 2000-2012 –> 2013-2019 3.2960719 5909.6431
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 513 1.7242945 2028.8142 13.967079 2000-2012 –> 2013-2019 3.2440064 5850.0298
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 513 1.7556052 2047.2777 14.468303 2000-2012 –> 2013-2019 3.2986847 5900.1107
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 513 1.7556052 2047.2777 14.468303 2000-2012 –> 2013-2019 3.2986847 5900.1107
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 513 1.7556052 2047.2777 14.468303 2000-2012 –> 2013-2019 3.2986847 5900.1107
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 983 2.9304503 4917.3900 22.456892 1982-1999 –> 2000-2012 5.6593028 11405.1644
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + nitrate 983 3.0630171 5004.3744 26.240993 1982-1999 –> 2000-2012 5.9542902 11646.6323
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 983 2.9304503 4917.3900 22.456892 1982-1999 –> 2000-2012 5.6593028 11405.1644
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 983 2.9304503 4917.3900 22.456892 1982-1999 –> 2000-2012 5.6593028 11405.1644
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 983 3.0757549 5012.5332 23.130965 1982-1999 –> 2000-2012 5.9400103 11629.7050
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 983 3.0758688 5012.6060 23.140031 1982-1999 –> 2000-2012 5.9407219 11630.3353
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 983 3.0757549 5012.5332 23.130965 1982-1999 –> 2000-2012 5.9400103 11629.7050
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 983 3.0757549 5012.5332 23.130965 1982-1999 –> 2000-2012 5.9400103 11629.7050
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 983 3.0758688 5012.6060 23.140031 1982-1999 –> 2000-2012 5.9407219 11630.3353
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 983 3.0758688 5012.6060 23.140031 1982-1999 –> 2000-2012 5.9407219 11630.3353
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 569 3.2198068 2959.4398 28.682477 2000-2012 –> 2013-2019 6.6553718 8189.4735
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 569 3.2198068 2959.4398 28.682477 2000-2012 –> 2013-2019 6.6553718 8189.4735
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 569 3.2198068 2959.4398 28.682477 2000-2012 –> 2013-2019 6.6553718 8189.4735
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 569 3.3261262 2996.4099 29.121490 2000-2012 –> 2013-2019 6.2565764 7913.7999
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + nitrate 569 3.5578347 3073.0472 28.721108 2000-2012 –> 2013-2019 6.6208518 8077.4216
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 569 3.3261262 2996.4099 29.121490 2000-2012 –> 2013-2019 6.2565764 7913.7999
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 569 3.3261262 2996.4099 29.121490 2000-2012 –> 2013-2019 6.2565764 7913.7999
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 569 3.6600265 3105.2733 23.151675 2000-2012 –> 2013-2019 6.7357814 8117.8065
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 569 3.6600265 3105.2733 23.151675 2000-2012 –> 2013-2019 6.7357814 8117.8065
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 569 3.6600265 3105.2733 23.151675 2000-2012 –> 2013-2019 6.7357814 8117.8065
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1204 3.8590720 6682.6316 25.099675 1982-1999 –> 2000-2012 7.3908813 15682.5017
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 1204 3.8590720 6682.6316 25.099675 1982-1999 –> 2000-2012 7.3908813 15682.5017
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 1204 3.8590720 6682.6316 25.099675 1982-1999 –> 2000-2012 7.3908813 15682.5017
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1204 3.9591041 6744.2548 25.125796 1982-1999 –> 2000-2012 7.5958976 15842.3119
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + nitrate + silicate_star + phosphate + phosphate_star 1204 3.9591041 6744.2548 25.125796 1982-1999 –> 2000-2012 7.5958976 15842.3119
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 1204 3.9591041 6744.2548 25.125796 1982-1999 –> 2000-2012 7.5958976 15842.3119
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 1204 3.9591041 6744.2548 25.125796 1982-1999 –> 2000-2012 7.5958976 15842.3119
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + nitrate + silicate_star + phosphate 1204 3.9591041 6744.2548 25.125796 1982-1999 –> 2000-2012 7.5958976 15842.3119
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + nitrate + silicate_star + phosphate_star 1204 3.9591041 6744.2548 25.125796 1982-1999 –> 2000-2012 7.5958976 15842.3119
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + silicate + silicate_star + phosphate_star 1204 3.9591041 6744.2548 25.125796 1982-1999 –> 2000-2012 7.5958976 15842.3119
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 666 3.5357472 3586.2418 25.590197 2000-2012 –> 2013-2019 7.4915867 10328.5101
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 666 3.5060655 3575.0128 26.986021 2000-2012 –> 2013-2019 7.3651375 10257.6443
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 666 3.5060655 3575.0128 26.986021 2000-2012 –> 2013-2019 7.3651375 10257.6443
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 666 3.5060655 3575.0128 26.986021 2000-2012 –> 2013-2019 7.3651375 10257.6443
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 666 3.5394291 3587.6281 27.891571 2000-2012 –> 2013-2019 7.4985332 10331.8828
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + nitrate + silicate_star + phosphate + phosphate_star 666 3.5394291 3587.6281 27.891571 2000-2012 –> 2013-2019 7.4985332 10331.8828
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 666 3.5394291 3587.6281 27.891571 2000-2012 –> 2013-2019 7.4985332 10331.8828
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star 666 3.5394291 3587.6281 27.891571 2000-2012 –> 2013-2019 7.4985332 10331.8828
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + nitrate + silicate_star + phosphate 666 3.5394291 3587.6281 27.891571 2000-2012 –> 2013-2019 7.4985332 10331.8828
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + nitrate + silicate_star + phosphate_star 666 3.5394291 3587.6281 27.891571 2000-2012 –> 2013-2019 7.4985332 10331.8828
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 804 0.9934328 2285.0583 8.087713 1982-1999 –> 2000-2012 1.8641000 5054.5716
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + nitrate 804 1.0115481 2314.1161 9.678931 1982-1999 –> 2000-2012 1.8601691 5028.4371
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 804 0.9934328 2285.0583 8.087713 1982-1999 –> 2000-2012 1.8641000 5054.5716
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 804 0.9934328 2285.0583 8.087713 1982-1999 –> 2000-2012 1.8641000 5054.5716
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 804 1.0436142 2364.2985 12.188672 1982-1999 –> 2000-2012 1.8828911 5054.7923
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 804 1.0427660 2362.9910 12.172235 1982-1999 –> 2000-2012 1.8811182 5051.1125
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 804 1.0436142 2364.2985 12.188672 1982-1999 –> 2000-2012 1.8828911 5054.7923
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 804 1.0436142 2364.2985 12.188672 1982-1999 –> 2000-2012 1.8828911 5054.7923
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 804 1.0427660 2362.9910 12.172235 1982-1999 –> 2000-2012 1.8811182 5051.1125
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 804 1.0427660 2362.9910 12.172235 1982-1999 –> 2000-2012 1.8811182 5051.1125
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 434 1.0460351 1284.7046 7.627744 2000-2012 –> 2013-2019 2.0692031 3617.1869
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 434 1.0460351 1284.7046 7.627744 2000-2012 –> 2013-2019 2.0692031 3617.1869
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 434 1.0460351 1284.7046 7.627744 2000-2012 –> 2013-2019 2.0692031 3617.1869
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 434 1.0500656 1288.0427 7.506976 2000-2012 –> 2013-2019 2.0773265 3626.9446
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 434 1.0174317 1260.6390 9.169936 2000-2012 –> 2013-2019 2.0108645 3545.6973
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 434 1.0517810 1289.4595 7.474466 2000-2012 –> 2013-2019 2.0814698 3632.1573
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + nitrate 434 1.0478798 1286.2340 10.830251 2000-2012 –> 2013-2019 2.0594278 3600.3501
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 434 1.0174317 1260.6390 9.169936 2000-2012 –> 2013-2019 2.0108645 3545.6973
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 434 1.0174317 1260.6390 9.169936 2000-2012 –> 2013-2019 2.0108645 3545.6973
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 434 1.0517810 1289.4595 7.474466 2000-2012 –> 2013-2019 2.0814698 3632.1573
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + nitrate 936 0.7505637 2133.1187 7.864208 1982-1999 –> 2000-2012 1.3349866 4431.0017
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 936 0.7856962 2218.7544 10.025704 1982-1999 –> 2000-2012 1.3744859 4535.9182
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 936 0.7848370 2216.7061 10.063082 1982-1999 –> 2000-2012 1.3705842 4520.4516
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate 936 0.7987682 2249.6435 10.877044 1982-1999 –> 2000-2012 1.3708704 4492.3408
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star 936 0.7987682 2249.6435 10.877044 1982-1999 –> 2000-2012 1.3708704 4492.3408
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 936 0.7856962 2218.7544 10.025704 1982-1999 –> 2000-2012 1.3744859 4535.9182
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 936 0.7856962 2218.7544 10.025704 1982-1999 –> 2000-2012 1.3744859 4535.9182
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + silicate_star 936 0.7987682 2249.6435 10.877044 1982-1999 –> 2000-2012 1.3708704 4492.3408
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 936 0.7848370 2216.7061 10.063082 1982-1999 –> 2000-2012 1.3705842 4520.4516
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 936 0.7848370 2216.7061 10.063082 1982-1999 –> 2000-2012 1.3705842 4520.4516
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 497 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.6311195 3443.5998
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 497 0.8712841 1287.4645 6.182969 2000-2012 –> 2013-2019 1.6311181 3443.5627
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 497 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.6311195 3443.5998
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 497 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.6311195 3443.5998
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate 497 0.8712841 1287.4645 6.182969 2000-2012 –> 2013-2019 1.6311181 3443.5627
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate_star 497 0.8712841 1287.4645 6.182969 2000-2012 –> 2013-2019 1.6311181 3443.5627
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 497 0.8492568 1262.0116 6.971050 2000-2012 –> 2013-2019 1.6225461 3450.9696
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + nitrate 497 0.8286782 1237.6291 9.047780 2000-2012 –> 2013-2019 1.5792420 3370.7478
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 497 0.8492568 1262.0116 6.971050 2000-2012 –> 2013-2019 1.6225461 3450.9696
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 497 0.8492568 1262.0116 6.971050 2000-2012 –> 2013-2019 1.6225461 3450.9696
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1540 0.5471615 2527.0561 2.040783 1982-1999 –> 2000-2012 1.0648603 5924.1022
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 1540 0.5471615 2527.0561 2.040783 1982-1999 –> 2000-2012 1.0648603 5924.1022
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + aou + nitrate 1540 0.3811816 1413.7338 1.800271 1982-1999 –> 2000-2012 0.8158366 4033.0874
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1540 0.3447362 1104.2051 1.681506 1982-1999 –> 2000-2012 0.7503579 3416.0603
Atlantic (28.15,28.2] 4 cstar_tref ~ temp + oxygen + aou + nitrate 1540 0.4269578 1761.0344 1.632599 1982-1999 –> 2000-2012 0.8645347 4408.1894
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 1540 0.3447362 1104.2051 1.681506 1982-1999 –> 2000-2012 0.7503579 3416.0603
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate_star 1540 0.3447362 1104.2051 1.681506 1982-1999 –> 2000-2012 0.7503579 3416.0603
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1540 0.3632927 1265.6880 1.840394 1982-1999 –> 2000-2012 0.7552045 3424.6025
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star 1540 0.3632927 1265.6880 1.840394 1982-1999 –> 2000-2012 0.7552045 3424.6025
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + silicate_star 1540 0.3632927 1265.6880 1.840394 1982-1999 –> 2000-2012 0.7552045 3424.6025
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 819 0.7372762 1838.9708 4.731734 2000-2012 –> 2013-2019 1.2844377 4366.0269
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 819 0.7372762 1838.9708 4.731734 2000-2012 –> 2013-2019 1.2844377 4366.0269
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + aou + nitrate 819 0.6963213 1745.3570 6.846739 2000-2012 –> 2013-2019 1.0775029 3159.0908
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 819 0.6693303 1680.6011 8.052277 2000-2012 –> 2013-2019 1.0140665 2784.8062
Atlantic (28.15,28.2] 4 cstar_tref ~ temp + oxygen + aou + nitrate 819 0.7030888 1759.1996 7.602305 2000-2012 –> 2013-2019 1.1300465 3520.2341
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 819 0.6693303 1680.6011 8.052277 2000-2012 –> 2013-2019 1.0140665 2784.8062
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate_star 819 0.6693303 1680.6011 8.052277 2000-2012 –> 2013-2019 1.0140665 2784.8062
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate 819 0.6403755 1608.1638 7.320694 2000-2012 –> 2013-2019 1.0036682 2873.8518
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star 819 0.6403755 1608.1638 7.320694 2000-2012 –> 2013-2019 1.0036682 2873.8518
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + silicate_star 819 0.6403755 1608.1638 7.320694 2000-2012 –> 2013-2019 1.0036682 2873.8518
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2693 0.3469830 1955.4330 2.125336 1982-1999 –> 2000-2012 0.6488837 3611.7830
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2693 0.3242828 1591.0173 2.115462 1982-1999 –> 2000-2012 0.6239944 3193.3546
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2693 0.3463114 1944.9979 1.900529 1982-1999 –> 2000-2012 0.6453988 3531.8596
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate 2693 0.3242828 1591.0173 2.115462 1982-1999 –> 2000-2012 0.6239944 3193.3546
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 2693 0.3463114 1944.9979 1.900529 1982-1999 –> 2000-2012 0.6453988 3531.8596
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 2693 0.3242828 1591.0173 2.115462 1982-1999 –> 2000-2012 0.6239944 3193.3546
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 2693 0.3463114 1944.9979 1.900529 1982-1999 –> 2000-2012 0.6453988 3531.8596
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2693 0.3457583 1936.3893 2.124533 1982-1999 –> 2000-2012 0.6437290 3495.4877
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 2693 0.3457583 1936.3893 2.124533 1982-1999 –> 2000-2012 0.6437290 3495.4877
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 2693 0.3457583 1936.3893 2.124533 1982-1999 –> 2000-2012 0.6437290 3495.4877
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1557 0.3797467 1417.4419 2.705317 2000-2012 –> 2013-2019 0.7267298 3372.8749
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1557 0.3502557 1165.7023 2.704232 2000-2012 –> 2013-2019 0.6745385 2756.7196
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate 1557 0.3502557 1165.7023 2.704232 2000-2012 –> 2013-2019 0.6745385 2756.7196
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1557 0.3502557 1165.7023 2.704232 2000-2012 –> 2013-2019 0.6745385 2756.7196
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 1557 0.3797467 1417.4419 2.705317 2000-2012 –> 2013-2019 0.7267298 3372.8749
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 1557 0.3797467 1417.4419 2.705317 2000-2012 –> 2013-2019 0.7267298 3372.8749
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1557 0.3800118 1419.6148 2.702494 2000-2012 –> 2013-2019 0.7271406 3377.3089
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1557 0.3788592 1410.1550 2.700717 2000-2012 –> 2013-2019 0.7246175 3346.5443
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1557 0.3788592 1410.1550 2.700717 2000-2012 –> 2013-2019 0.7246175 3346.5443
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 1557 0.3788592 1410.1550 2.700717 2000-2012 –> 2013-2019 0.7246175 3346.5443
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5288 5.9081446 33807.1795 33.261331 1982-1999 –> 2000-2012 12.1256599 80522.5792
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5288 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.6716991 81612.6324
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 5288 5.9081446 33807.1795 33.261331 1982-1999 –> 2000-2012 12.1256599 80522.5792
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 5288 5.9081446 33807.1795 33.261331 1982-1999 –> 2000-2012 12.1256599 80522.5792
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5288 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.6716991 81612.6324
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 5288 6.0145280 33995.9192 33.811166 1982-1999 –> 2000-2012 12.3312392 80939.0253
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5288 6.0656694 34085.4664 34.021650 1982-1999 –> 2000-2012 12.4290401 81134.4469
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5288 6.0863610 34121.4827 34.020695 1982-1999 –> 2000-2012 12.4717454 81220.1444
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 5288 6.0863610 34121.4827 34.020695 1982-1999 –> 2000-2012 12.4717454 81220.1444
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 5288 6.0863610 34121.4827 34.020695 1982-1999 –> 2000-2012 12.4717454 81220.1444
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2816 5.6382388 17746.4099 27.667683 2000-2012 –> 2013-2019 11.5463834 51553.5894
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 2816 5.6382388 17746.4099 27.667683 2000-2012 –> 2013-2019 11.5463834 51553.5894
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 2816 5.6382388 17746.4099 27.667683 2000-2012 –> 2013-2019 11.5463834 51553.5894
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2816 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.0707203 52285.7513
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2816 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.0707203 52285.7513
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2816 5.7297950 17837.1302 28.456699 2000-2012 –> 2013-2019 11.7443230 51833.0493
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2816 5.7800044 17886.2676 29.028201 2000-2012 –> 2013-2019 11.8456737 51971.7340
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2816 5.7921918 17898.1305 28.600115 2000-2012 –> 2013-2019 11.8785528 52019.6131
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 2816 5.7921918 17898.1305 28.600115 2000-2012 –> 2013-2019 11.8785528 52019.6131
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 2816 5.7921918 17898.1305 28.600115 2000-2012 –> 2013-2019 11.8785528 52019.6131
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5525 4.5360650 32401.5327 43.772780 1982-1999 –> 2000-2012 8.7824377 76605.3494
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5525 4.5360650 32401.5327 43.772780 1982-1999 –> 2000-2012 8.7824377 76605.3494
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 5525 4.5360650 32401.5327 43.772780 1982-1999 –> 2000-2012 8.7824377 76605.3494
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 5525 4.5877220 32526.6595 39.934460 1982-1999 –> 2000-2012 8.8818706 76903.0425
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5525 4.6579284 32694.4781 38.557719 1982-1999 –> 2000-2012 9.0054183 77261.2754
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5525 4.6658266 32713.1992 39.207721 1982-1999 –> 2000-2012 9.0244249 77319.3567
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5525 4.6658266 32713.1992 39.207721 1982-1999 –> 2000-2012 9.0244249 77319.3567
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5525 4.6658266 32713.1992 39.207721 1982-1999 –> 2000-2012 9.0244249 77319.3567
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5525 4.7292783 32862.4581 47.412368 1982-1999 –> 2000-2012 9.1428442 77661.9159
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 5525 4.7292783 32862.4581 47.412368 1982-1999 –> 2000-2012 9.1428442 77661.9159
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2918 4.4724496 17036.8813 46.310491 2000-2012 –> 2013-2019 9.0085146 49438.4140
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2918 4.4724496 17036.8813 46.310491 2000-2012 –> 2013-2019 9.0085146 49438.4140
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2918 4.4724496 17036.8813 46.310491 2000-2012 –> 2013-2019 9.0085146 49438.4140
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2918 4.5594237 17149.2824 39.840874 2000-2012 –> 2013-2019 9.1471456 49675.9420
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2918 4.6381187 17249.1516 36.657339 2000-2012 –> 2013-2019 9.2960471 49943.6297
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2918 4.6426236 17254.8173 36.476302 2000-2012 –> 2013-2019 9.3084502 49968.0165
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2918 4.6426236 17254.8173 36.476302 2000-2012 –> 2013-2019 9.3084502 49968.0165
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2918 4.5489045 17135.8025 48.107779 2000-2012 –> 2013-2019 9.2781828 49998.2607
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate 2918 4.5489045 17135.8025 48.107779 2000-2012 –> 2013-2019 9.2781828 49998.2607
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 2918 4.5489045 17135.8025 48.107779 2000-2012 –> 2013-2019 9.2781828 49998.2607
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star 4544 3.8913517 25257.6932 27.853242 1982-1999 –> 2000-2012 7.7641398 60143.8499
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 4544 3.8913517 25257.6932 27.853242 1982-1999 –> 2000-2012 7.7641398 60143.8499
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 4544 3.8913517 25257.6932 27.853242 1982-1999 –> 2000-2012 7.7641398 60143.8499
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate_star 4544 3.8913517 25257.6932 27.853242 1982-1999 –> 2000-2012 7.7641398 60143.8499
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4544 3.9266514 25339.7617 26.472095 1982-1999 –> 2000-2012 7.7219783 59971.8309
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4544 3.9265162 25339.4488 20.226531 1982-1999 –> 2000-2012 7.6839109 59845.1956
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 4544 3.9266514 25339.7617 26.472095 1982-1999 –> 2000-2012 7.7219783 59971.8309
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 4544 3.9266514 25339.7617 26.472095 1982-1999 –> 2000-2012 7.7219783 59971.8309
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4544 3.9265162 25339.4488 20.226531 1982-1999 –> 2000-2012 7.6839109 59845.1956
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4544 3.9265162 25339.4488 20.226531 1982-1999 –> 2000-2012 7.6839109 59845.1956
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate_star + phosphate + phosphate_star 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate_star 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 2447 4.2585434 14049.3348 30.985390 2000-2012 –> 2013-2019 8.1851948 39389.0965
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5354 4.1643941 30483.7138 22.734855 1982-1999 –> 2000-2012 7.7513405 71108.4774
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 5354 4.1643941 30483.7138 22.734855 1982-1999 –> 2000-2012 7.7513405 71108.4774
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 5354 4.1643941 30483.7138 22.734855 1982-1999 –> 2000-2012 7.7513405 71108.4774
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5354 4.1702723 30498.8181 21.453131 1982-1999 –> 2000-2012 7.8227361 71396.2141
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 5354 4.1165993 30360.1074 20.285252 1982-1999 –> 2000-2012 7.7366826 71123.3780
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate_star 5354 4.1734420 30506.9538 22.914051 1982-1999 –> 2000-2012 7.8375806 71452.4177
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5354 4.1702723 30498.8181 21.453131 1982-1999 –> 2000-2012 7.8227361 71396.2141
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 5354 4.1702723 30498.8181 21.453131 1982-1999 –> 2000-2012 7.8227361 71396.2141
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 5354 4.1165993 30360.1074 20.285252 1982-1999 –> 2000-2012 7.7366826 71123.3780
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 5354 4.1165993 30360.1074 20.285252 1982-1999 –> 2000-2012 7.7366826 71123.3780
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2868 4.5360260 16826.1577 17.606576 2000-2012 –> 2013-2019 8.7004201 47309.8716
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2868 4.5360260 16826.1577 17.606576 2000-2012 –> 2013-2019 8.7004201 47309.8716
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2868 4.5360260 16826.1577 17.606576 2000-2012 –> 2013-2019 8.7004201 47309.8716
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2868 4.5371637 16827.5961 18.186152 2000-2012 –> 2013-2019 8.7106057 47334.5499
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2868 4.5537010 16848.4650 17.066955 2000-2012 –> 2013-2019 8.7239733 47347.2831
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 2868 4.5010869 16781.8046 18.240062 2000-2012 –> 2013-2019 8.6176862 47141.9121
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 2868 4.5371637 16827.5961 18.186152 2000-2012 –> 2013-2019 8.7106057 47334.5499
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate_star 2868 4.5371637 16827.5961 18.186152 2000-2012 –> 2013-2019 8.7106057 47334.5499
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 2868 4.5010869 16781.8046 18.240062 2000-2012 –> 2013-2019 8.6176862 47141.9121
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 2868 4.5010869 16781.8046 18.240062 2000-2012 –> 2013-2019 8.6176862 47141.9121
Indo-Pacific (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 6466 3.9057692 35982.9778 48.713871 1982-1999 –> 2000-2012 7.0697021 81432.4909
Indo-Pacific (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate_star + phosphate + phosphate_star 6466 3.9057692 35982.9778 48.713871 1982-1999 –> 2000-2012 7.0697021 81432.4909
Indo-Pacific (27,27.25] 5 cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 6466 3.9057692 35982.9778 48.713871 1982-1999 –> 2000-2012 7.0697021 81432.4909
Indo-Pacific (27,27.25] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 6466 3.9057692 35982.9778 48.713871 1982-1999 –> 2000-2012 7.0697021 81432.4909
Indo-Pacific (27,27.25] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 6466 3.9057692 35982.9778 48.713871 1982-1999 –> 2000-2012 7.0697021 81432.4909
Indo-Pacific (27,27.25] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 6466 3.9057692 35982.9778 48.713871 1982-1999 –> 2000-2012 7.0697021 81432.4909
Indo-Pacific (27,27.25] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate 6466 3.9057692 35982.9778 48.713871 1982-1999 –> 2000-2012 7.0697021 81432.4909
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 6466 3.7382856 35416.1990 36.297381 1982-1999 –> 2000-2012 6.8506238 80575.1233
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 6466 3.7382856 35416.1990 36.297381 1982-1999 –> 2000-2012 6.8506238 80575.1233
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 6466 3.7382856 35416.1990 36.297381 1982-1999 –> 2000-2012 6.8506238 80575.1233
Indo-Pacific (27,27.25] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 3470 4.7284767 20643.4390 37.054814 2000-2012 –> 2013-2019 8.6342459 56626.4168
Indo-Pacific (27,27.25] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star 3470 4.7284767 20643.4390 37.054814 2000-2012 –> 2013-2019 8.6342459 56626.4168
Indo-Pacific (27,27.25] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 3470 4.7284767 20643.4390 37.054814 2000-2012 –> 2013-2019 8.6342459 56626.4168
Indo-Pacific (27,27.25] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate_star 3470 4.7284767 20643.4390 37.054814 2000-2012 –> 2013-2019 8.6342459 56626.4168
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3470 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.4223646 56385.6280
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 3470 4.3257326 20025.6292 30.341767 2000-2012 –> 2013-2019 8.0640183 55441.8282
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3470 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.4223646 56385.6280
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 3470 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.4223646 56385.6280
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 3470 4.3257326 20025.6292 30.341767 2000-2012 –> 2013-2019 8.0640183 55441.8282
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 3470 4.3257326 20025.6292 30.341767 2000-2012 –> 2013-2019 8.0640183 55441.8282
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + nitrate + silicate_star + phosphate + phosphate_star 5847 3.4222130 30994.0484 31.732058 1982-1999 –> 2000-2012 6.3354476 70281.8372
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + oxygen + silicate + silicate_star + phosphate_star 5847 3.4222130 30994.0484 31.732058 1982-1999 –> 2000-2012 6.3354476 70281.8372
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + silicate + silicate_star + phosphate + phosphate_star 5847 3.4222130 30994.0484 31.732058 1982-1999 –> 2000-2012 6.3354476 70281.8372
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate_star + phosphate 5847 3.4154823 30971.0264 32.897684 1982-1999 –> 2000-2012 6.3144388 70181.2655
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5847 3.3461863 30731.3292 33.390589 1982-1999 –> 2000-2012 6.2704796 70078.9213
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 5847 3.2436714 30367.4652 32.825325 1982-1999 –> 2000-2012 6.1083715 69390.0778
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5847 3.3461863 30731.3292 33.390589 1982-1999 –> 2000-2012 6.2704796 70078.9213
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 5847 3.3461863 30731.3292 33.390589 1982-1999 –> 2000-2012 6.2704796 70078.9213
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 5847 3.2436714 30367.4652 32.825325 1982-1999 –> 2000-2012 6.1083715 69390.0778
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 5847 3.2436714 30367.4652 32.825325 1982-1999 –> 2000-2012 6.1083715 69390.0778
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 3127 3.8005574 17238.0556 34.420220 2000-2012 –> 2013-2019 7.2184615 48217.3705
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3127 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.1899105 48040.0175
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 3127 3.7456570 17147.0555 32.042107 2000-2012 –> 2013-2019 6.9893284 47514.5206
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate 3127 3.8712880 17353.3764 34.429027 2000-2012 –> 2013-2019 7.3474353 48530.2857
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star 3127 3.8712880 17353.3764 34.429027 2000-2012 –> 2013-2019 7.3474353 48530.2857
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3127 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.1899105 48040.0175
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 3127 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.1899105 48040.0175
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + silicate_star 3127 3.8712880 17353.3764 34.429027 2000-2012 –> 2013-2019 7.3474353 48530.2857
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 3127 3.7456570 17147.0555 32.042107 2000-2012 –> 2013-2019 6.9893284 47514.5206
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 3127 3.7456570 17147.0555 32.042107 2000-2012 –> 2013-2019 6.9893284 47514.5206
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 5836 3.1735450 30055.2512 8.689085 1982-1999 –> 2000-2012 5.4890819 66680.8347
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate_star + phosphate 5836 3.1344878 29910.7112 10.233030 1982-1999 –> 2000-2012 5.4222114 66340.4081
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 5836 3.1418231 29937.9938 9.677288 1982-1999 –> 2000-2012 5.4431377 66463.7071
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 5836 3.0304211 29516.6154 12.981932 1982-1999 –> 2000-2012 5.4431860 66808.9455
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate_star 5836 3.0146454 29455.6947 12.492589 1982-1999 –> 2000-2012 5.4351087 66799.6634
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5836 3.1698959 30041.8225 8.686571 1982-1999 –> 2000-2012 5.4929254 66719.7736
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate_star + phosphate 5836 3.1324239 29903.0232 9.658767 1982-1999 –> 2000-2012 5.4289174 66394.7415
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate_star + phosphate_star 5836 3.1324239 29903.0232 9.658767 1982-1999 –> 2000-2012 5.4289174 66394.7415
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5836 3.1698959 30041.8225 8.686571 1982-1999 –> 2000-2012 5.4929254 66719.7736
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 5836 3.1324239 29903.0232 9.658767 1982-1999 –> 2000-2012 5.4289174 66394.7415
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate_star + phosphate 3104 3.6583719 16874.6595 10.327691 2000-2012 –> 2013-2019 6.7928597 46785.3707
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 3104 3.6626957 16881.9924 10.327653 2000-2012 –> 2013-2019 6.8045188 46819.9862
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3104 3.7023122 16948.7788 17.138991 2000-2012 –> 2013-2019 6.8317603 46840.7084
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate 3104 3.7023122 16948.7788 17.138991 2000-2012 –> 2013-2019 6.8317603 46840.7084
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 3104 3.4945155 16590.1873 14.687842 2000-2012 –> 2013-2019 6.5249366 46106.8027
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate_star 3104 3.4641763 16536.0544 14.191842 2000-2012 –> 2013-2019 6.4788216 45991.7492
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate_star + phosphate 3104 3.6489118 16858.5855 10.306258 2000-2012 –> 2013-2019 6.7813357 46761.6087
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate_star + phosphate_star 3104 3.6489118 16858.5855 10.306258 2000-2012 –> 2013-2019 6.7813357 46761.6087
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + silicate_star + phosphate 3104 3.7023122 16948.7788 17.138991 2000-2012 –> 2013-2019 6.8317603 46840.7084
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 3104 3.6489118 16858.5855 10.306258 2000-2012 –> 2013-2019 6.7813357 46761.6087
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 2317 2.7212475 11228.4142 21.917997 1982-1999 –> 2000-2012 4.6418941 24214.7759
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 2317 2.7212475 11228.4142 21.917997 1982-1999 –> 2000-2012 4.6418941 24214.7759
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate 2317 2.7212475 11228.4142 21.917997 1982-1999 –> 2000-2012 4.6418941 24214.7759
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate_star 2317 2.7212475 11228.4142 21.917997 1982-1999 –> 2000-2012 4.6418941 24214.7759
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2317 2.6406178 11089.0349 20.968772 1982-1999 –> 2000-2012 4.5482001 24032.6569
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 2317 2.6387258 11085.7135 21.377698 1982-1999 –> 2000-2012 4.5432730 24019.3645
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2317 2.6406178 11089.0349 20.968772 1982-1999 –> 2000-2012 4.5482001 24032.6569
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2317 2.6406178 11089.0349 20.968772 1982-1999 –> 2000-2012 4.5482001 24032.6569
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 2317 2.6387258 11085.7135 21.377698 1982-1999 –> 2000-2012 4.5432730 24019.3645
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 2317 2.6387258 11085.7135 21.377698 1982-1999 –> 2000-2012 4.5432730 24019.3645
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 1264 2.9877934 6368.0614 34.251747 2000-2012 –> 2013-2019 5.6399206 17477.2502
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate_star 1264 2.9835090 6364.4337 34.942250 2000-2012 –> 2013-2019 5.6451919 17490.2890
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1264 3.0665742 6433.8549 28.861392 2000-2012 –> 2013-2019 5.7071919 17522.8898
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 1264 3.0580694 6426.8341 29.049935 2000-2012 –> 2013-2019 5.6967952 17512.5476
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1264 3.0654818 6432.9542 34.187580 2000-2012 –> 2013-2019 5.7289961 17561.9969
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1264 3.0665742 6433.8549 28.861392 2000-2012 –> 2013-2019 5.7071919 17522.8898
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1264 3.0665742 6433.8549 28.861392 2000-2012 –> 2013-2019 5.7071919 17522.8898
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + silicate_star 1264 3.0654818 6432.9542 34.187580 2000-2012 –> 2013-2019 5.7289961 17561.9969
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 1264 3.0580694 6426.8341 29.049935 2000-2012 –> 2013-2019 5.6967952 17512.5476
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 1264 3.0580694 6426.8341 29.049935 2000-2012 –> 2013-2019 5.6967952 17512.5476
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2907 2.7369084 14117.4123 28.359649 1982-1999 –> 2000-2012 4.8476476 31502.5456
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ aou + nitrate + silicate_star + phosphate + phosphate_star 2907 2.7369084 14117.4123 28.359649 1982-1999 –> 2000-2012 4.8476476 31502.5456
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2907 2.7369084 14117.4123 28.359649 1982-1999 –> 2000-2012 4.8476476 31502.5456
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 2907 2.7369084 14117.4123 28.359649 1982-1999 –> 2000-2012 4.8476476 31502.5456
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star 2907 2.7369084 14117.4123 28.359649 1982-1999 –> 2000-2012 4.8476476 31502.5456
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 2907 2.7369084 14117.4123 28.359649 1982-1999 –> 2000-2012 4.8476476 31502.5456
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 2907 2.7369084 14117.4123 28.359649 1982-1999 –> 2000-2012 4.8476476 31502.5456
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2907 2.7026569 14044.1928 28.417644 1982-1999 –> 2000-2012 4.8043308 31394.8076
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 2907 2.7026569 14044.1928 28.417644 1982-1999 –> 2000-2012 4.8043308 31394.8076
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate_star 2907 2.7026569 14044.1928 28.417644 1982-1999 –> 2000-2012 4.8043308 31394.8076
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1542 3.2823201 8055.4962 31.823285 2000-2012 –> 2013-2019 6.0192285 22172.9085
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ aou + nitrate + silicate_star + phosphate + phosphate_star 1542 3.2823201 8055.4962 31.823285 2000-2012 –> 2013-2019 6.0192285 22172.9085
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + nitrate 1542 3.1822377 7959.9974 32.017867 2000-2012 –> 2013-2019 5.9064125 22050.2967
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1542 3.1767686 7954.6926 31.850384 2000-2012 –> 2013-2019 5.8794254 21998.8853
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + nitrate 1542 3.1823803 7958.1357 31.944102 2000-2012 –> 2013-2019 5.9067160 22046.7781
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 1542 3.1767686 7954.6926 31.850384 2000-2012 –> 2013-2019 5.8794254 21998.8853
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + nitrate + phosphate_star 1542 3.1767686 7954.6926 31.850384 2000-2012 –> 2013-2019 5.8794254 21998.8853
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1542 3.1822510 7960.0104 31.986959 2000-2012 –> 2013-2019 5.9062344 22049.9010
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star 1542 3.1822510 7960.0104 31.986959 2000-2012 –> 2013-2019 5.9062344 22049.9010
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + silicate_star 1542 3.1822510 7960.0104 31.986959 2000-2012 –> 2013-2019 5.9062344 22049.9010
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2467 2.1792907 10858.6260 8.502155 1982-1999 –> 2000-2012 4.0658897 25425.2456
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star 2467 2.1792907 10858.6260 8.502155 1982-1999 –> 2000-2012 4.0658897 25425.2456
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + silicate_star 2467 2.1792907 10858.6260 8.502155 1982-1999 –> 2000-2012 4.0658897 25425.2456
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + silicate_star 2467 2.1868435 10875.6962 8.583791 1982-1999 –> 2000-2012 4.0752629 25449.1497
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2467 2.1886299 10879.7253 7.878228 1982-1999 –> 2000-2012 4.0642895 25405.1370
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 2467 2.1895879 10881.8845 7.849347 1982-1999 –> 2000-2012 4.0701805 25425.9079
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2467 2.1886299 10879.7253 7.878228 1982-1999 –> 2000-2012 4.0642895 25405.1370
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2467 2.1886299 10879.7253 7.878228 1982-1999 –> 2000-2012 4.0642895 25405.1370
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 2467 2.1895879 10881.8845 7.849347 1982-1999 –> 2000-2012 4.0701805 25425.9079
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 2467 2.1895879 10881.8845 7.849347 1982-1999 –> 2000-2012 4.0701805 25425.9079
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1354 2.3937485 6220.1919 8.306747 2000-2012 –> 2013-2019 4.5799110 17094.3514
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 1354 2.3937485 6220.1919 8.306747 2000-2012 –> 2013-2019 4.5799110 17094.3514
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star 1354 2.3937485 6220.1919 8.306747 2000-2012 –> 2013-2019 4.5799110 17094.3514
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1354 2.3949270 6221.5248 8.259385 2000-2012 –> 2013-2019 4.5805806 17094.5357
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1354 2.3941382 6220.6327 8.284045 2000-2012 –> 2013-2019 4.5799766 17094.0607
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1354 2.3949943 6221.6009 8.251733 2000-2012 –> 2013-2019 4.5805940 17094.4901
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate 1354 2.3891259 6214.9574 8.045546 2000-2012 –> 2013-2019 4.5812165 17102.4783
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1354 2.3949943 6221.6009 8.251733 2000-2012 –> 2013-2019 4.5805940 17094.4901
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star 1354 2.3949943 6221.6009 8.251733 2000-2012 –> 2013-2019 4.5805940 17094.4901
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + silicate + silicate_star + phosphate 1354 2.3891259 6214.9574 8.045546 2000-2012 –> 2013-2019 4.5812165 17102.4783
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1718 1.8463208 6996.4105 10.225349 1982-1999 –> 2000-2012 3.4405196 16640.5731
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ aou + nitrate + silicate_star + phosphate + phosphate_star 1718 1.8463208 6996.4105 10.225349 1982-1999 –> 2000-2012 3.4405196 16640.5731
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 1718 1.8463208 6996.4105 10.225349 1982-1999 –> 2000-2012 3.4405196 16640.5731
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star 1718 1.8463208 6996.4105 10.225349 1982-1999 –> 2000-2012 3.4405196 16640.5731
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 1718 1.8463208 6996.4105 10.225349 1982-1999 –> 2000-2012 3.4405196 16640.5731
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 1718 1.8463208 6996.4105 10.225349 1982-1999 –> 2000-2012 3.4405196 16640.5731
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate_star 1718 1.8463208 6996.4105 10.225349 1982-1999 –> 2000-2012 3.4405196 16640.5731
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1718 1.8032691 6915.3424 9.697645 1982-1999 –> 2000-2012 3.4298781 16662.3098
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1718 1.8032691 6915.3424 9.697645 1982-1999 –> 2000-2012 3.4298781 16662.3098
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1718 1.8032691 6915.3424 9.697645 1982-1999 –> 2000-2012 3.4298781 16662.3098
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 966 2.0390556 4131.9137 9.747515 2000-2012 –> 2013-2019 3.8840888 11125.9270
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 966 2.0390556 4131.9137 9.747515 2000-2012 –> 2013-2019 3.8840888 11125.9270
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 966 2.0390556 4131.9137 9.747515 2000-2012 –> 2013-2019 3.8840888 11125.9270
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate_star + phosphate_star 966 2.0395415 4132.3740 9.670797 2000-2012 –> 2013-2019 3.8877643 11132.3223
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 966 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.8033978 11010.0164
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 966 2.0180718 4111.9285 9.104081 2000-2012 –> 2013-2019 3.8390788 11060.9042
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 966 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.8033978 11010.0164
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 966 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.8033978 11010.0164
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate 966 2.0180718 4111.9285 9.104081 2000-2012 –> 2013-2019 3.8390788 11060.9042
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate_star + phosphate_star 966 2.0180718 4111.9285 9.104081 2000-2012 –> 2013-2019 3.8390788 11060.9042
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 14627 1.3445893 50185.4032 13.266137 1982-1999 –> 2000-2012 2.4490842 111949.7485
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 14627 1.3445893 50185.4032 13.266137 1982-1999 –> 2000-2012 2.4490842 111949.7485
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star 14627 1.3445893 50185.4032 13.266137 1982-1999 –> 2000-2012 2.4490842 111949.7485
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate 14627 1.3445893 50185.4032 13.266137 1982-1999 –> 2000-2012 2.4490842 111949.7485
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ oxygen + aou + nitrate + silicate_star + phosphate_star 14627 1.3445893 50185.4032 13.266137 1982-1999 –> 2000-2012 2.4490842 111949.7485
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate 14627 1.3445893 50185.4032 13.266137 1982-1999 –> 2000-2012 2.4490842 111949.7485
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ oxygen + aou + silicate + silicate_star + phosphate_star 14627 1.3445893 50185.4032 13.266137 1982-1999 –> 2000-2012 2.4490842 111949.7485
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 14627 1.2494600 48038.8292 11.951281 1982-1999 –> 2000-2012 2.3095030 108132.5045
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate 14627 1.2494600 48038.8292 11.951281 1982-1999 –> 2000-2012 2.3095030 108132.5045
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 14627 1.2494600 48038.8292 11.951281 1982-1999 –> 2000-2012 2.3095030 108132.5045
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 7804 1.4123708 27549.7620 9.529089 2000-2012 –> 2013-2019 2.6618308 75588.5913
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate 7804 1.4123708 27549.7620 9.529089 2000-2012 –> 2013-2019 2.6618308 75588.5913
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 7804 1.4123708 27549.7620 9.529089 2000-2012 –> 2013-2019 2.6618308 75588.5913
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 7804 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 7804 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 7804 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + nitrate + silicate_star + phosphate_star 7804 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + silicate + silicate_star + phosphate 7804 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + silicate + silicate_star + phosphate_star 7804 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + silicate + silicate_star + phosphate + phosphate_star 7804 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816

5.3.2 per fitting unit

lm_best %>%
  select(-n_predictors) %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab eras rmse_sum_mean ais_sum_mean
Atlantic (-Inf,26] 1982-1999 –> 2000-2012 2.3796191 1200.6597
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 2.1922235 714.2637
Atlantic (26,26.5] 1982-1999 –> 2000-2012 6.5839321 13450.4808
Atlantic (26,26.5] 2000-2012 –> 2013-2019 6.4603938 8407.4645
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.2711340 16868.6938
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 6.5746280 10717.4828
Atlantic (26.75,27] 1982-1999 –> 2000-2012 3.6486119 22139.2736
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.4850744 16094.9195
Atlantic (27,27.25] 1982-1999 –> 2000-2012 3.5015516 18267.0572
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.1487037 13479.3417
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 3.8574714 20052.3057
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 4.9897722 14382.9301
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 4.4731519 28929.9698
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 5.1928474 20294.1986
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 3.0949345 8775.1489
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 3.2686598 5876.2919
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 5.8574395 11564.2247
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 6.5564041 8074.0662
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 7.5343927 15794.3689
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 7.4578198 10309.2740
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 1.8744497 5050.9867
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.0539897 3598.0262
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.3682808 4507.7133
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.6233593 3438.5144
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 0.8326779 4081.1470
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.0829629 3238.7353
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 0.6388250 3427.3889
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 0.7104798 3180.5725
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 12.3895893 81052.6908
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 11.8006246 51909.5894
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 8.9593565 77126.2268
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 9.1920185 49786.5629
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 7.7274227 60002.6479
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.1051439 39259.3967
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 7.7769858 71233.6626
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 8.6810110 47270.6284
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 7.0039786 81175.2806
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 8.3996132 56198.8036
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.2457335 69943.3774
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 7.1798484 48047.1842
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.4505329 66571.7330
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 6.7440425 46651.0860
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.5841996 24101.5168
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.6955066 17519.7845
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.8346525 31470.2242
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 5.9208565 22058.9251
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.0676342 25421.8021
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.5804505 17096.0077
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.4373272 16647.0941
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.8467460 11072.2865
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 2.4072098 110804.5753
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 2.7377567 76949.4545

5.4 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)

5.5 Plot selected model residuals

# plot model diagnostics, if activated
if (params_local$plot_all_figures == "y") {
  # mutate predictors column
  lm_best_plot <- lm_best_target %>%
    select(basin, gamma_slab, model, eras, era) %>%
    mutate(
      predictors = str_remove(model, paste(params_local$MLR_target, "~ ")),
      predictors = str_replace_all(predictors, "\\+ ", "")
    )
  
  # 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)[2]
      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)
        
        lm_best_basin_era_slab <- lm_best_plot %>%
          filter(basin == i_basin, era == i_era, gamma_slab == i_gamma_slab)
        
        for (i_eras in unique(lm_best_basin_era_slab$eras)) {
          #i_eras <- unique(lm_best_basin_era_slab$eras)[1]
          print(i_eras)
          
          lm_best_basin_era_slab_eras <- lm_best_basin_era_slab %>%
            filter(eras == i_eras)
          
          for (i_predictors in unique(lm_best_basin_era_slab_eras$predictors)) {
            #i_predictors <- unique(lm_best_basin_era_slab$predictors)[1]
            print(i_predictors)
            # extract one model definition
            i_lm <- lm_all %>%
              filter(predictors == i_predictors) %>%
              select(lm_coeff) %>%
              pull()
            
             # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
            
            # plot model diagnostics vs predictors
            
            p_model_predictors <- ggnostic(
              i_lm_fit,
              columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
              title = paste(
                "era:",
                i_era,
                "| eras:",
                i_eras,
                "| basin:",
                i_basin,
                "| gamma slab:",
                i_gamma_slab,
                "| predictors:",
                i_predictors
              )
            )
            
            ggsave(
              plot = p_model_predictors,
              path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
              filename = paste(
                "MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_predictors)
            
            
            # plot model diagnostics vs location
            
            GLODAP_basin_era_slab <- GLODAP_basin_era_slab %>%
              mutate(fitted = i_lm_fit$fitted.values,
                     residuals = i_lm_fit$residuals)
            
            GLODAP_basin_era_slab_long <- GLODAP_basin_era_slab %>% 
              pivot_longer(cols = c(params_local$MLR_target , fitted, residuals),
                           names_to = "estimate",
                           values_to = "value"
              ) %>% 
              pivot_longer(cols = c(lat, lon, depth),
                           names_to = "coordinate_type",
                           values_to = "coordinate_value"
              )

             p_model_coordinate <- GLODAP_basin_era_slab_long %>%
              ggplot(aes(coordinate_value, value)) +
              geom_bin2d() +
              scale_fill_viridis_c() +
              labs(
                title = paste(
                  "era:",
                  i_era,
                  "| eras:",
                  i_eras,
                  "| basin:",
                  i_basin,
                  "| gamma slab:",
                  i_gamma_slab,
                  "| predictors:",
                  i_predictors
                )
              ) +
              facet_grid(estimate~coordinate_type,
                         scales = "free")

            ggsave(
              plot = p_model_coordinate,
              path = paste(path_version_figures, "eMLR_diagnostics", sep = ""),
              filename = paste(
                "Location_MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_coordinate)
            
          }
          
        }
        
      }
    }
  }
  
  rm(
    lm_best_plot,
    lm_best_basin_era_slab,
    i_rmse,
    GLODAP_basin_era,
    GLODAP_basin_era_slab,
    i_lm,
    lm_all_fitted,
    i_basin,
    i_era,
    i_gamma_slab,
    i_predictors,
    lm_all,
    i_aic,
    i_n_predictors,
    i_resid_max
  )
  
}

Individual residual plots of the MLR models for each basin, era, eras and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/eMLR_diagnostics/

5.6 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)

5.7 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 = ""))

lm_best %>%
  write_csv(paste(path_version_data,
                  "lm_best.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
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
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
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
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
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
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
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
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,
              values_fill = 0)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate oxygen phosphate phosphate_star sal silicate_star temp silicate
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 10 4 6 7 6 10 3 4 0
(26,26.5] 9 7 6 2 2 10 5 4 5
(26.5,26.75] 10 5 6 6 8 0 4 3 8
(26.75,27] 10 2 5 8 7 3 3 3 9
(27,27.25] 7 2 4 7 5 10 1 5 9
(27.25,27.5] 10 8 7 2 2 6 6 3 6
(27.5,27.75] 4 0 4 6 6 10 5 10 5
(27.75,27.85] 7 7 6 7 6 10 3 4 0
(27.85,27.95] 10 1 7 6 6 4 3 10 3
(27.95,28.05] 3 8 5 4 8 0 6 10 6
(28.05,28.1] 10 1 7 6 6 4 3 10 3
(28.1,28.15] 10 3 8 4 4 1 5 10 5
(28.15,28.2] 10 8 7 2 4 3 3 8 4
(28.2, Inf] 7 8 2 6 6 10 4 3 4
total 117.00 64.00 80.00 73.00 76.00 81.00 54.00 87.00 67.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 7 8 5 7 6 10 0 5 2
(26,26.5] 7 7 6 1 1 10 6 6 6
(26.5,26.75] 10 5 8 6 6 0 4 3 8
(26.75,27] 10 3 5 8 7 3 3 3 8
(27,27.25] 9 2 3 7 4 10 2 3 9
(27.25,27.5] 10 8 6 2 3 6 7 3 5
(27.5,27.75] 7 2 4 8 4 10 9 4 2
(27.75,27.85] 7 7 6 7 6 10 3 4 0
(27.85,27.95] 10 4 7 6 6 7 0 7 3
(27.95,28.05] 4 9 4 4 8 1 5 10 5
(28.05,28.1] 8 7 6 6 6 10 0 7 0
(28.1,28.15] 10 1 7 6 6 10 3 4 3
(28.15,28.2] 10 9 7 2 4 3 3 8 3
(28.2, Inf] 7 9 4 8 4 10 2 4 2
total 116.00 81.00 78.00 78.00 71.00 100.00 47.00 71.00 56.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 7 8 5 7 6 10 0 5 2
(26,26.5] 7 1 4 7 5 8 1 7 10
(26.5,26.75] 10 6 8 5 7 6 3 0 5
(26.75,27] 10 1 7 6 7 3 3 10 3
(27,27.25] 10 5 6 8 6 0 8 3 4
(27.25,27.5] 7 1 5 7 7 4 7 7 5
(27.5,27.75] 5 0 5 6 4 10 6 10 4
(27.75,27.85] 10 2 8 6 6 0 7 6 5
(27.85,27.95] 10 9 6 7 7 0 4 3 4
(27.95,28.05] 10 2 7 4 4 4 6 7 6
(28.05,28.1] 10 6 7 6 7 0 4 3 7
(28.1, Inf] 10 6 6 7 4 3 7 0 7
total 106.00 47.00 74.00 76.00 70.00 48.00 56.00 61.00 62.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 8 6 6 6 10 0 5 2
(26,26.5] 8 2 3 7 5 7 2 7 9
(26.5,26.75] 10 7 7 7 6 1 6 0 6
(26.75,27] 10 3 6 7 7 3 3 10 1
(27,27.25] 10 3 8 5 7 0 5 6 6
(27.25,27.5] 10 2 8 4 4 1 5 10 6
(27.5,27.75] 4 2 4 6 3 10 8 10 3
(27.75,27.85] 10 1 8 4 4 2 5 10 6
(27.85,27.95] 10 9 7 4 4 1 3 8 3
(27.95,28.05] 5 9 4 7 5 10 2 7 1
(28.05,28.1] 10 0 7 6 7 4 4 6 6
(28.1, Inf] 3 6 5 7 5 10 6 0 8
total 97.00 52.00 73.00 70.00 63.00 59.00 49.00 79.00 57.00

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
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
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
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
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_0.7.5      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