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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove 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()

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

# 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)

# 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:

  • 112

4 Fit all models

Individual linear regression models were fitted for the chosen target variable:

  • cstar_tref

as a function of each predictor combination. Fitting was performed separately within each basin, era, and slab. Model diagnostics, such as the root mean squared error (RMSE), were calculated for each fitted model.

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # 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] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 158 1.0492038 475.5626 4.357844 1982-1999 –> 2000-2012 2.385552 1198.4564
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 158 1.0480832 477.2249 4.299021 1982-1999 –> 2000-2012 2.383776 1201.9145
Atlantic (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate 158 1.0492038 475.5626 4.357844 1982-1999 –> 2000-2012 2.385552 1198.4564
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 158 1.0492038 475.5626 4.357844 1982-1999 –> 2000-2012 2.385552 1198.4564
Atlantic (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 158 1.0492038 475.5626 4.357844 1982-1999 –> 2000-2012 2.385552 1198.4564
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 158 1.0480832 477.2249 4.299021 1982-1999 –> 2000-2012 2.383776 1201.9145
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 158 1.0480832 477.2249 4.299021 1982-1999 –> 2000-2012 2.383776 1201.9145
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 158 1.0447877 476.2297 3.991338 1982-1999 –> 2000-2012 2.380975 1201.0734
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 158 1.0447877 476.2297 3.991338 1982-1999 –> 2000-2012 2.380975 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 2.380975 1201.0734
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 72 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.241720 721.0407
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 72 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.241720 721.0407
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 72 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.241720 721.0407
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 72 1.1990801 244.4710 3.379652 2000-2012 –> 2013-2019 2.252903 723.4217
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 72 1.2012446 244.7307 3.425080 2000-2012 –> 2013-2019 2.256637 724.1518
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 72 1.2718853 252.9592 3.547879 2000-2012 –> 2013-2019 2.316673 729.1889
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 72 1.2718853 252.9592 3.547879 2000-2012 –> 2013-2019 2.316673 729.1889
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 72 1.2024324 244.8730 3.445295 2000-2012 –> 2013-2019 2.259542 724.8078
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 72 1.2024324 244.8730 3.445295 2000-2012 –> 2013-2019 2.259542 724.8078
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 72 1.2024324 244.8730 3.445295 2000-2012 –> 2013-2019 2.259542 724.8078
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1046 3.5518213 5633.9468 13.477555 1982-1999 –> 2000-2012 6.998566 13749.8718
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1046 3.5518213 5633.9468 13.477555 1982-1999 –> 2000-2012 6.998566 13749.8718
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1046 3.5518213 5633.9468 13.477555 1982-1999 –> 2000-2012 6.998566 13749.8718
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1046 3.6117860 5668.9708 14.137864 1982-1999 –> 2000-2012 7.148188 13863.2182
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1046 3.6195773 5673.4788 14.246703 1982-1999 –> 2000-2012 7.167016 13877.2298
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 1046 3.9979558 5881.4778 18.153518 1982-1999 –> 2000-2012 7.971167 14430.9429
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1046 3.6210378 5674.3227 14.283746 1982-1999 –> 2000-2012 7.172902 13881.8766
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1046 3.6210378 5674.3227 14.283746 1982-1999 –> 2000-2012 7.172902 13881.8766
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1046 3.6210378 5674.3227 14.283746 1982-1999 –> 2000-2012 7.172902 13881.8766
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1046 3.6850441 5708.9784 16.393830 1982-1999 –> 2000-2012 7.514190 14143.7981
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 567 3.6070302 3077.8676 10.902628 2000-2012 –> 2013-2019 7.158851 8711.8144
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 567 3.6070302 3077.8676 10.902628 2000-2012 –> 2013-2019 7.158851 8711.8144
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 567 3.6070302 3077.8676 10.902628 2000-2012 –> 2013-2019 7.158851 8711.8144
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 567 3.6470365 3090.3758 10.325180 2000-2012 –> 2013-2019 7.258823 8759.3466
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 567 3.6519756 3091.9105 10.331554 2000-2012 –> 2013-2019 7.271553 8765.3893
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 567 3.6516653 3091.8142 10.332889 2000-2012 –> 2013-2019 7.272703 8766.1369
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 567 3.6516653 3091.8142 10.332889 2000-2012 –> 2013-2019 7.272703 8766.1369
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate 567 3.8215670 3141.3853 10.902303 2000-2012 –> 2013-2019 7.804122 9012.7888
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 567 3.6516653 3091.8142 10.332889 2000-2012 –> 2013-2019 7.272703 8766.1369
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 567 3.6567064 3091.3786 10.259004 2000-2012 –> 2013-2019 7.341750 8800.3570
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1397 3.2700730 7288.8799 10.507891 1982-1999 –> 2000-2012 6.329223 16928.5449
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1397 3.2700730 7288.8799 10.507891 1982-1999 –> 2000-2012 6.329223 16928.5449
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1397 3.2700730 7288.8799 10.507891 1982-1999 –> 2000-2012 6.329223 16928.5449
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1397 3.2846060 7301.2695 10.500101 1982-1999 –> 2000-2012 6.366962 16969.6063
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1397 3.3014232 7315.5384 10.543653 1982-1999 –> 2000-2012 6.405922 17011.0331
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1397 3.3059150 7319.3372 10.550809 1982-1999 –> 2000-2012 6.417306 17023.2446
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1397 3.3059150 7319.3372 10.550809 1982-1999 –> 2000-2012 6.417306 17023.2446
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 6.207974 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 6.207974 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 6.207974 16794.1190
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 656 3.3455096 3460.0435 10.735554 2000-2012 –> 2013-2019 6.615583 10748.9234
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 656 3.3455096 3460.0435 10.735554 2000-2012 –> 2013-2019 6.615583 10748.9234
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 656 3.3455096 3460.0435 10.735554 2000-2012 –> 2013-2019 6.615583 10748.9234
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 656 3.3565540 3464.3677 10.767824 2000-2012 –> 2013-2019 6.641160 10765.6372
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 656 3.3723676 3470.5343 10.887326 2000-2012 –> 2013-2019 6.673791 10786.0727
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 656 3.3762721 3472.0524 10.919163 2000-2012 –> 2013-2019 6.682187 10791.3896
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 656 3.3762721 3472.0524 10.919163 2000-2012 –> 2013-2019 6.682187 10791.3896
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 6.548764 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 6.548764 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 6.548764 10701.5603
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 2398 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.766100 22513.8376
Atlantic (26.75,27] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 2398 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.766100 22513.8376
Atlantic (26.75,27] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 2398 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.766100 22513.8376
Atlantic (26.75,27] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 2398 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.766100 22513.8376
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2398 2.0001820 10143.9994 14.081577 1982-1999 –> 2000-2012 3.653171 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 3.653171 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 3.653171 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 3.599513 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 3.599513 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 3.599513 21872.9381
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1263 2.6364762 6045.0524 27.471250 2000-2012 –> 2013-2019 4.730039 16405.8891
Atlantic (26.75,27] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 1263 2.6364762 6045.0524 27.471250 2000-2012 –> 2013-2019 4.730039 16405.8891
Atlantic (26.75,27] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 1263 2.6364762 6045.0524 27.471250 2000-2012 –> 2013-2019 4.730039 16405.8891
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1263 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.533258 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 4.533258 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 4.533258 16089.9896
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1263 2.5653762 5977.9963 25.592327 2000-2012 –> 2013-2019 4.632293 16279.3988
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1263 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.341316 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 4.341316 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 4.341316 15998.1644
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 2031 1.9148200 8414.4995 9.235730 1982-1999 –> 2000-2012 3.631195 18657.1971
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2031 1.8904789 8364.5325 9.689213 1982-1999 –> 2000-2012 3.460465 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 3.460465 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 3.460465 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 3.454743 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 3.500208 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 3.516784 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 3.516784 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 3.516784 18291.0461
Atlantic (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2031 2.3112875 9180.8912 13.899054 1982-1999 –> 2000-2012 4.387710 20420.0232
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 1142 2.3003827 5155.6000 13.777336 2000-2012 –> 2013-2019 4.215203 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 4.185174 13516.4782
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1142 2.3424794 5197.0192 15.033313 2000-2012 –> 2013-2019 4.477653 14053.9689
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1142 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.185174 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 4.185174 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 4.186256 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 4.228097 13591.3435
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1142 2.3127467 5169.8432 14.213647 2000-2012 –> 2013-2019 4.236174 13604.5606
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1142 2.3127467 5169.8432 14.213647 2000-2012 –> 2013-2019 4.236174 13604.5606
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1142 2.3127467 5169.8432 14.213647 2000-2012 –> 2013-2019 4.236174 13604.5606
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate 2025 2.7655192 9878.4761 23.145713 1982-1999 –> 2000-2012 5.304972 23422.1817
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2025 2.6905754 9769.2091 21.422922 1982-1999 –> 2000-2012 4.857623 22402.1133
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2025 2.6905754 9769.2091 21.422922 1982-1999 –> 2000-2012 4.857623 22402.1133
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2025 2.6905754 9769.2091 21.422922 1982-1999 –> 2000-2012 4.857623 22402.1133
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2025 2.7127786 9802.4934 22.028851 1982-1999 –> 2000-2012 4.939680 22592.2216
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2025 2.7866936 9911.3670 22.922743 1982-1999 –> 2000-2012 5.108434 22941.1546
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2025 3.0541626 10282.5481 24.115856 1982-1999 –> 2000-2012 5.368393 23293.6873
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2025 2.7889943 9914.7094 22.912954 1982-1999 –> 2000-2012 5.119713 22966.7127
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2025 2.7889943 9914.7094 22.912954 1982-1999 –> 2000-2012 5.119713 22966.7127
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2025 2.7889943 9914.7094 22.912954 1982-1999 –> 2000-2012 5.119713 22966.7127
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate 1109 3.5932118 5996.1307 25.833019 2000-2012 –> 2013-2019 6.358731 15874.6067
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1109 3.5374046 5963.4120 24.085736 2000-2012 –> 2013-2019 6.227980 15732.6211
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1109 3.5374046 5963.4120 24.085736 2000-2012 –> 2013-2019 6.227980 15732.6211
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1109 3.5374046 5963.4120 24.085736 2000-2012 –> 2013-2019 6.227980 15732.6211
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1109 3.5665106 5981.5872 24.964534 2000-2012 –> 2013-2019 6.279289 15784.0805
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1109 3.6512333 6033.6598 26.003544 2000-2012 –> 2013-2019 6.437927 15945.0269
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1109 3.6477902 6031.5673 25.914947 2000-2012 –> 2013-2019 6.436784 15946.2767
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1109 3.6477902 6031.5673 25.914947 2000-2012 –> 2013-2019 6.436784 15946.2767
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1109 3.6477902 6031.5673 25.914947 2000-2012 –> 2013-2019 6.436784 15946.2767
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1109 3.6805151 6049.3766 26.881684 2000-2012 –> 2013-2019 6.493594 15996.9101
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 2804 2.4538915 13003.5694 13.901382 1982-1999 –> 2000-2012 4.821076 30047.3887
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2804 2.3944064 12867.9502 14.685866 1982-1999 –> 2000-2012 4.494974 29021.3907
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2804 2.3944064 12867.9502 14.685866 1982-1999 –> 2000-2012 4.494974 29021.3907
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2804 2.3944064 12867.9502 14.685866 1982-1999 –> 2000-2012 4.494974 29021.3907
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2804 2.3920617 12862.4560 14.587684 1982-1999 –> 2000-2012 4.458855 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 4.479751 28943.2189
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2804 2.4122515 12909.5908 14.214259 1982-1999 –> 2000-2012 4.479627 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 4.479627 28944.0833
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 4.479627 28944.0833
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 2804 2.4316201 12952.4392 14.640607 1982-1999 –> 2000-2012 4.531821 29102.5728
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 1515 2.8745087 7510.7055 15.545879 2000-2012 –> 2013-2019 5.328400 20514.2749
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1515 2.8711798 7509.1946 15.461950 2000-2012 –> 2013-2019 5.265586 20377.1448
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1515 2.8711798 7509.1946 15.461950 2000-2012 –> 2013-2019 5.265586 20377.1448
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1515 2.8711798 7509.1946 15.461950 2000-2012 –> 2013-2019 5.265586 20377.1448
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1515 2.8690598 7506.9564 15.594453 2000-2012 –> 2013-2019 5.261121 20369.4124
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1515 2.8670393 7504.8218 16.960962 2000-2012 –> 2013-2019 5.280309 20416.7793
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1515 2.8660787 7503.8064 16.855872 2000-2012 –> 2013-2019 5.278330 20413.3972
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1515 2.8660787 7503.8064 16.855872 2000-2012 –> 2013-2019 5.278330 20413.3972
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1515 2.8660787 7503.8064 16.855872 2000-2012 –> 2013-2019 5.278330 20413.3972
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1515 2.9784908 7618.3764 19.270332 2000-2012 –> 2013-2019 5.410111 20570.8156
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1036 1.5641536 3880.9392 12.798383 1982-1999 –> 2000-2012 3.161198 8876.8661
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1036 1.5641536 3880.9392 12.798383 1982-1999 –> 2000-2012 3.161198 8876.8661
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1036 1.5641536 3880.9392 12.798383 1982-1999 –> 2000-2012 3.161198 8876.8661
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1036 1.6994499 4052.8317 11.282662 1982-1999 –> 2000-2012 3.267250 8999.9679
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1036 1.5917451 3917.1705 12.897616 1982-1999 –> 2000-2012 3.221116 8966.0004
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1036 1.6372666 3975.5949 13.097914 1982-1999 –> 2000-2012 3.315361 9102.2117
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1036 1.6994499 4052.8317 11.282662 1982-1999 –> 2000-2012 3.267250 8999.9679
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1036 1.6994499 4052.8317 11.282662 1982-1999 –> 2000-2012 3.267250 8999.9679
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1036 1.6414780 3980.9177 13.114352 1982-1999 –> 2000-2012 3.323163 9113.1779
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1036 1.6414780 3980.9177 13.114352 1982-1999 –> 2000-2012 3.323163 9113.1779
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 513 1.7475521 2042.5606 12.039326 2000-2012 –> 2013-2019 3.311706 5923.4997
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 513 1.7475521 2042.5606 12.039326 2000-2012 –> 2013-2019 3.311706 5923.4997
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 513 1.7475521 2042.5606 12.039326 2000-2012 –> 2013-2019 3.311706 5923.4997
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 513 1.8815759 2118.3754 10.455785 2000-2012 –> 2013-2019 3.581026 6171.2072
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 513 1.7754726 2058.8233 12.075398 2000-2012 –> 2013-2019 3.367218 5975.9938
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 513 1.8242119 2086.6088 12.213063 2000-2012 –> 2013-2019 3.461479 6062.2038
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 513 1.8815759 2118.3754 10.455785 2000-2012 –> 2013-2019 3.581026 6171.2072
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 513 1.8275241 2088.4700 12.223997 2000-2012 –> 2013-2019 3.469002 6069.3878
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 513 1.8275241 2088.4700 12.223997 2000-2012 –> 2013-2019 3.469002 6069.3878
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 513 1.8275241 2088.4700 12.223997 2000-2012 –> 2013-2019 3.469002 6069.3878
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 5.659303 11405.1644
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 983 2.9304503 4917.3900 22.456892 1982-1999 –> 2000-2012 5.659303 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 5.659303 11405.1644
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 983 3.0946626 5022.5819 23.332862 1982-1999 –> 2000-2012 6.011468 11686.3324
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 5.940010 11629.7050
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate 983 3.0946626 5022.5819 23.332862 1982-1999 –> 2000-2012 6.011468 11686.3324
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 983 3.0946626 5022.5819 23.332862 1982-1999 –> 2000-2012 6.011468 11686.3324
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 983 3.0946626 5022.5819 23.332862 1982-1999 –> 2000-2012 6.011468 11686.3324
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 983 3.0757549 5012.5332 23.130965 1982-1999 –> 2000-2012 5.940010 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 5.940010 11629.7050
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 569 3.3215129 2994.8304 29.207068 2000-2012 –> 2013-2019 6.748803 8220.1234
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 569 3.3215129 2994.8304 29.207068 2000-2012 –> 2013-2019 6.748803 8220.1234
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 569 3.3215129 2994.8304 29.207068 2000-2012 –> 2013-2019 6.748803 8220.1234
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 6.256576 7913.7999
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 569 3.3261262 2996.4099 29.121490 2000-2012 –> 2013-2019 6.256576 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 6.256576 7913.7999
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 569 3.6730463 3107.3144 22.693963 2000-2012 –> 2013-2019 6.767709 8129.8962
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 6.735781 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 6.735781 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 6.735781 8117.8065
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1204 4.5430532 7075.5511 25.262696 1982-1999 –> 2000-2012 9.288330 17065.3992
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1204 4.5430532 7075.5511 25.262696 1982-1999 –> 2000-2012 9.288330 17065.3992
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1204 4.5430532 7075.5511 25.262696 1982-1999 –> 2000-2012 9.288330 17065.3992
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1204 4.5082516 7057.0339 24.566608 1982-1999 –> 2000-2012 9.231897 17031.5669
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1204 4.4923146 7048.5063 24.290391 1982-1999 –> 2000-2012 9.200820 17012.2786
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1204 4.4965817 7050.7925 24.338742 1982-1999 –> 2000-2012 9.208205 17016.7832
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1204 4.4965817 7050.7925 24.338742 1982-1999 –> 2000-2012 9.208205 17016.7832
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1204 4.4965817 7050.7925 24.338742 1982-1999 –> 2000-2012 9.208205 17016.7832
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1204 4.5224648 7064.6136 21.845213 1982-1999 –> 2000-2012 9.376834 17130.6504
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1204 4.5224648 7064.6136 21.845213 1982-1999 –> 2000-2012 9.376834 17130.6504
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 666 4.2792874 3840.4697 24.913097 2000-2012 –> 2013-2019 8.822341 10916.0208
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 666 4.2792874 3840.4697 24.913097 2000-2012 –> 2013-2019 8.822341 10916.0208
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 666 4.2792874 3840.4697 24.913097 2000-2012 –> 2013-2019 8.822341 10916.0208
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 666 4.3482817 3861.7741 24.983745 2000-2012 –> 2013-2019 8.937497 10961.6697
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 666 4.2652741 3836.1007 24.445783 2000-2012 –> 2013-2019 8.773526 10893.1346
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 666 4.2577904 3833.7616 24.198809 2000-2012 –> 2013-2019 8.750105 10882.2679
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 666 4.3482817 3861.7741 24.983745 2000-2012 –> 2013-2019 8.937497 10961.6697
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 666 4.2605747 3834.6323 24.285919 2000-2012 –> 2013-2019 8.757156 10885.4248
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 666 4.2605747 3834.6323 24.285919 2000-2012 –> 2013-2019 8.757156 10885.4248
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 666 4.2605747 3834.6323 24.285919 2000-2012 –> 2013-2019 8.757156 10885.4248
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 804 1.0324411 2346.9902 6.945256 1982-1999 –> 2000-2012 1.924797 5169.4535
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 804 1.0324411 2346.9902 6.945256 1982-1999 –> 2000-2012 1.924797 5169.4535
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 804 1.0324411 2346.9902 6.945256 1982-1999 –> 2000-2012 1.924797 5169.4535
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 1.864100 5054.5716
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 804 1.0379653 2355.5710 6.801673 1982-1999 –> 2000-2012 1.936355 5192.5380
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 804 0.9934328 2285.0583 8.087713 1982-1999 –> 2000-2012 1.864100 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 1.864100 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 1.882891 5054.7923
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 804 1.0436142 2364.2985 12.188672 1982-1999 –> 2000-2012 1.882891 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 1.882891 5054.7923
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 434 1.0586072 1295.0748 7.429722 2000-2012 –> 2013-2019 2.091048 3642.0650
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 434 1.0586072 1295.0748 7.429722 2000-2012 –> 2013-2019 2.091048 3642.0650
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 434 1.0586072 1295.0748 7.429722 2000-2012 –> 2013-2019 2.091048 3642.0650
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 2.010864 3545.6973
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 434 1.0645856 1299.9629 7.272475 2000-2012 –> 2013-2019 2.102551 3655.5339
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 434 1.0174317 1260.6390 9.169936 2000-2012 –> 2013-2019 2.010864 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 2.010864 3545.6973
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 434 1.0672164 1302.1053 7.231208 2000-2012 –> 2013-2019 2.108432 3662.7045
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 434 1.0672164 1302.1053 7.231208 2000-2012 –> 2013-2019 2.108432 3662.7045
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 434 1.0672164 1302.1053 7.231208 2000-2012 –> 2013-2019 2.108432 3662.7045
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 936 0.7598609 2156.1646 5.927820 1982-1999 –> 2000-2012 1.389314 4646.2932
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 936 0.7598609 2156.1646 5.927820 1982-1999 –> 2000-2012 1.389314 4646.2932
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 936 0.7598609 2156.1646 5.927820 1982-1999 –> 2000-2012 1.389314 4646.2932
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 936 0.7641038 2166.5883 5.828897 1982-1999 –> 2000-2012 1.399237 4679.9843
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 936 0.7666596 2172.8394 5.792427 1982-1999 –> 2000-2012 1.406167 4704.0109
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 936 0.7666596 2172.8394 5.792427 1982-1999 –> 2000-2012 1.406167 4704.0109
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 936 0.7666596 2172.8394 5.792427 1982-1999 –> 2000-2012 1.406167 4704.0109
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 1.374486 4535.9182
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 936 0.7856962 2218.7544 10.025704 1982-1999 –> 2000-2012 1.374486 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 1.374486 4535.9182
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 1.631120 3443.5998
Atlantic (28.1,28.15] 4 cstar_tref ~ sal + oxygen + aou + phosphate 497 0.8714406 1285.6430 6.181914 2000-2012 –> 2013-2019 1.644731 3472.6026
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 497 0.8714406 1285.6430 6.181914 2000-2012 –> 2013-2019 1.644731 3472.6026
Atlantic (28.1,28.15] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 497 0.8714406 1285.6430 6.181914 2000-2012 –> 2013-2019 1.644731 3472.6026
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 497 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.631120 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 1.631120 3443.5998
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 1.622546 3450.9696
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 497 0.8778689 1294.9484 6.059947 2000-2012 –> 2013-2019 1.641973 3461.5366
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 497 0.8492568 1262.0116 6.971050 2000-2012 –> 2013-2019 1.622546 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 1.622546 3450.9696
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1540 0.7055495 3310.0933 2.511827 1982-1999 –> 2000-2012 1.442265 8276.4329
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1540 0.7055495 3310.0933 2.511827 1982-1999 –> 2000-2012 1.442265 8276.4329
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1540 0.7055495 3310.0933 2.511827 1982-1999 –> 2000-2012 1.442265 8276.4329
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1540 0.6397709 3008.6636 2.374049 1982-1999 –> 2000-2012 1.409609 8170.6170
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1540 0.7164003 3357.1006 2.566816 1982-1999 –> 2000-2012 1.463251 8384.2127
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1540 0.6397709 3008.6636 2.374049 1982-1999 –> 2000-2012 1.409609 8170.6170
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1540 0.6397709 3008.6636 2.374049 1982-1999 –> 2000-2012 1.409609 8170.6170
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1540 0.7016940 3293.2166 2.285566 1982-1999 –> 2000-2012 1.464622 8415.0657
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1540 0.7016940 3293.2166 2.285566 1982-1999 –> 2000-2012 1.464622 8415.0657
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1540 0.7016940 3293.2166 2.285566 1982-1999 –> 2000-2012 1.464622 8415.0657
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 819 0.9381573 2233.6552 6.391027 2000-2012 –> 2013-2019 1.643707 5543.7484
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 819 0.9381573 2233.6552 6.391027 2000-2012 –> 2013-2019 1.643707 5543.7484
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 819 0.9381573 2233.6552 6.391027 2000-2012 –> 2013-2019 1.643707 5543.7484
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 819 0.9495190 2253.3733 6.408028 2000-2012 –> 2013-2019 1.665919 5610.4739
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 819 0.9532752 2259.8403 6.439585 2000-2012 –> 2013-2019 1.672574 5629.3765
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 819 0.9532752 2259.8403 6.439585 2000-2012 –> 2013-2019 1.672574 5629.3765
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 819 0.9532752 2259.8403 6.439585 2000-2012 –> 2013-2019 1.672574 5629.3765
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 819 0.8478245 2067.8177 6.287814 2000-2012 –> 2013-2019 1.549519 5361.0343
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 819 0.8478245 2067.8177 6.287814 2000-2012 –> 2013-2019 1.549519 5361.0343
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 819 0.8478245 2067.8177 6.287814 2000-2012 –> 2013-2019 1.549519 5361.0343
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2693 0.7404046 6037.5946 2.951204 1982-1999 –> 2000-2012 1.374822 13205.5921
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2693 0.7404046 6037.5946 2.951204 1982-1999 –> 2000-2012 1.374822 13205.5921
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2693 0.7404046 6037.5946 2.951204 1982-1999 –> 2000-2012 1.374822 13205.5921
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2693 0.7395943 6031.6970 3.115463 1982-1999 –> 2000-2012 1.373507 13193.7818
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2693 0.7428308 6055.2150 3.041943 1982-1999 –> 2000-2012 1.379592 13250.5799
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2693 0.7428308 6055.2150 3.041943 1982-1999 –> 2000-2012 1.379592 13250.5799
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2693 0.7428308 6055.2150 3.041943 1982-1999 –> 2000-2012 1.379592 13250.5799
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2693 0.6982481 5721.8554 7.872375 1982-1999 –> 2000-2012 1.337148 12942.1058
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2693 0.6982481 5721.8554 7.872375 1982-1999 –> 2000-2012 1.337148 12942.1058
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2693 0.6982481 5721.8554 7.872375 1982-1999 –> 2000-2012 1.337148 12942.1058
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1557 0.8341145 3867.7431 2.739508 2000-2012 –> 2013-2019 1.574519 9905.3377
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1557 0.8341145 3867.7431 2.739508 2000-2012 –> 2013-2019 1.574519 9905.3377
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1557 0.8341145 3867.7431 2.739508 2000-2012 –> 2013-2019 1.574519 9905.3377
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1557 0.8317053 3858.7355 2.733812 2000-2012 –> 2013-2019 1.571300 9890.4325
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1557 0.8354644 3872.7784 2.758793 2000-2012 –> 2013-2019 1.578295 9927.9934
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1557 0.8354644 3872.7784 2.758793 2000-2012 –> 2013-2019 1.578295 9927.9934
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1557 0.8354644 3872.7784 2.758793 2000-2012 –> 2013-2019 1.578295 9927.9934
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1557 0.7915199 3704.5208 11.936972 2000-2012 –> 2013-2019 1.489768 9426.3762
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1557 0.7915199 3704.5208 11.936972 2000-2012 –> 2013-2019 1.489768 9426.3762
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1557 0.7915199 3704.5208 11.936972 2000-2012 –> 2013-2019 1.489768 9426.3762
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 5288 6.2360939 34376.5179 29.968567 1982-1999 –> 2000-2012 12.765635 81794.3473
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5288 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.671699 81612.6324
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate 5288 6.2360939 34376.5179 29.968567 1982-1999 –> 2000-2012 12.765635 81794.3473
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 5288 6.2360939 34376.5179 29.968567 1982-1999 –> 2000-2012 12.765635 81794.3473
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 5288 6.2360939 34376.5179 29.968567 1982-1999 –> 2000-2012 12.765635 81794.3473
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5288 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.671699 81612.6324
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 5288 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.671699 81612.6324
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5288 6.2323348 34372.1408 29.869481 1982-1999 –> 2000-2012 12.760405 81788.7288
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 5288 6.2323348 34372.1408 29.869481 1982-1999 –> 2000-2012 12.760405 81788.7288
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 5288 6.2323348 34372.1408 29.869481 1982-1999 –> 2000-2012 12.760405 81788.7288
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 2816 5.9520247 18049.4373 24.894024 2000-2012 –> 2013-2019 12.188119 52425.9552
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2816 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.070720 52285.7513
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate 2816 5.9520247 18049.4373 24.894024 2000-2012 –> 2013-2019 12.188119 52425.9552
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 2816 5.9520247 18049.4373 24.894024 2000-2012 –> 2013-2019 12.188119 52425.9552
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 2816 5.9520247 18049.4373 24.894024 2000-2012 –> 2013-2019 12.188119 52425.9552
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2816 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.070720 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 12.070720 52285.7513
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2816 5.9502121 18049.7219 24.771202 2000-2012 –> 2013-2019 12.182547 52421.8627
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2816 5.9502121 18049.7219 24.771202 2000-2012 –> 2013-2019 12.182547 52421.8627
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2816 5.9502121 18049.7219 24.771202 2000-2012 –> 2013-2019 12.182547 52421.8627
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 8.782438 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 8.782438 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 8.782438 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 8.881871 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 9.005418 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 9.024425 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 9.024425 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 9.024425 77319.3567
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5525 4.8803203 33209.8508 41.154556 1982-1999 –> 2000-2012 9.499989 78713.2617
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5525 4.8803203 33209.8508 41.154556 1982-1999 –> 2000-2012 9.499989 78713.2617
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 9.008515 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 9.008515 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 9.008515 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 9.147146 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 9.296047 49943.6297
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2918 4.6426236 17254.8173 36.476302 2000-2012 –> 2013-2019 9.308450 49968.0165
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 9.308450 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 9.308450 49968.0165
Indo-Pacific (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 2918 4.7159666 17344.2923 34.960948 2000-2012 –> 2013-2019 9.609897 50582.9168
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2918 4.8065118 17457.2797 38.739984 2000-2012 –> 2013-2019 9.686832 50667.1305
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4544 4.0473152 25612.8259 22.127132 1982-1999 –> 2000-2012 7.996383 60742.2745
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 4544 4.0473152 25612.8259 22.127132 1982-1999 –> 2000-2012 7.996383 60742.2745
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 4544 4.0473152 25612.8259 22.127132 1982-1999 –> 2000-2012 7.996383 60742.2745
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 7.683911 59845.1956
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 7.683911 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 7.683911 59845.1956
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4544 4.0407862 25600.1536 20.538812 1982-1999 –> 2000-2012 7.893165 60419.8596
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4544 3.9477481 25388.4579 23.151958 1982-1999 –> 2000-2012 7.824940 60288.9073
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4544 3.9477481 25388.4579 23.151958 1982-1999 –> 2000-2012 7.824940 60288.9073
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4544 3.9477481 25388.4579 23.151958 1982-1999 –> 2000-2012 7.824940 60288.9073
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 2447 4.4033896 14211.0265 24.538450 2000-2012 –> 2013-2019 8.450705 39823.8524
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 2447 4.4033896 14211.0265 24.538450 2000-2012 –> 2013-2019 8.450705 39823.8524
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 2447 4.4033896 14211.0265 24.538450 2000-2012 –> 2013-2019 8.450705 39823.8524
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 2447 4.4033896 14211.0265 24.538450 2000-2012 –> 2013-2019 8.450705 39823.8524
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2447 4.2938981 14089.7973 24.434470 2000-2012 –> 2013-2019 8.220414 39429.2462
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2447 4.2938981 14089.7973 24.434470 2000-2012 –> 2013-2019 8.220414 39429.2462
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2447 4.2938981 14089.7973 24.434470 2000-2012 –> 2013-2019 8.220414 39429.2462
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2447 4.2923135 14087.9909 22.815590 2000-2012 –> 2013-2019 8.240061 39476.4489
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2447 4.2923135 14087.9909 22.815590 2000-2012 –> 2013-2019 8.240061 39476.4489
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2447 4.2923135 14087.9909 22.815590 2000-2012 –> 2013-2019 8.240061 39476.4489
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 7.751341 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 7.751341 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 7.751341 71108.4774
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 5354 4.2057274 30587.4712 23.104196 1982-1999 –> 2000-2012 7.885923 71596.7963
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 7.822736 71396.2141
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + oxygen + aou + phosphate 5354 4.2057274 30587.4712 23.104196 1982-1999 –> 2000-2012 7.885923 71596.7963
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 5354 4.2057274 30587.4712 23.104196 1982-1999 –> 2000-2012 7.885923 71596.7963
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 5354 4.2057274 30587.4712 23.104196 1982-1999 –> 2000-2012 7.885923 71596.7963
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5354 4.1702723 30498.8181 21.453131 1982-1999 –> 2000-2012 7.822736 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 7.822736 71396.2141
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 8.700420 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 8.700420 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 8.700420 47309.8716
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2868 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.783128 47463.7121
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 8.723973 47347.2831
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + oxygen + aou + phosphate 2868 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.783128 47463.7121
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 2868 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.783128 47463.7121
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 2868 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.783128 47463.7121
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2868 4.5537010 16848.4650 17.066955 2000-2012 –> 2013-2019 8.723973 47347.2831
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2868 4.5537010 16848.4650 17.066955 2000-2012 –> 2013-2019 8.723973 47347.2831
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6466 4.3929768 37503.1646 41.945012 1982-1999 –> 2000-2012 7.958712 85065.6810
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 6466 4.3929768 37503.1646 41.945012 1982-1999 –> 2000-2012 7.958712 85065.6810
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 6466 4.3929768 37503.1646 41.945012 1982-1999 –> 2000-2012 7.958712 85065.6810
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6466 4.2956539 37213.4453 48.286060 1982-1999 –> 2000-2012 7.808744 84513.0773
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 6466 4.2956539 37213.4453 48.286060 1982-1999 –> 2000-2012 7.808744 84513.0773
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 6466 4.2956539 37213.4453 48.286060 1982-1999 –> 2000-2012 7.808744 84513.0773
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 6466 4.3599345 37403.5276 46.003290 1982-1999 –> 2000-2012 7.968003 85172.6402
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6466 3.9500266 36128.6900 31.512269 1982-1999 –> 2000-2012 7.252857 82337.5496
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 6466 3.9500266 36128.6900 31.512269 1982-1999 –> 2000-2012 7.252857 82337.5496
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 6466 3.9500266 36128.6900 31.512269 1982-1999 –> 2000-2012 7.252857 82337.5496
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3470 5.0789520 21139.6617 33.597697 2000-2012 –> 2013-2019 9.471929 58642.8263
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 3470 5.0789520 21139.6617 33.597697 2000-2012 –> 2013-2019 9.471929 58642.8263
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 3470 5.0789520 21139.6617 33.597697 2000-2012 –> 2013-2019 9.471929 58642.8263
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3470 5.0651721 21120.8069 42.030410 2000-2012 –> 2013-2019 9.360826 58334.2522
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 3470 5.0651721 21120.8069 42.030410 2000-2012 –> 2013-2019 9.360826 58334.2522
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 3470 5.0651721 21120.8069 42.030410 2000-2012 –> 2013-2019 9.360826 58334.2522
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 8.422365 56385.6280
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 3470 5.1322261 21210.0776 39.784583 2000-2012 –> 2013-2019 9.492161 58613.6052
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3470 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.422365 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 8.422365 56385.6280
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5847 3.6920890 31881.6814 32.521736 1982-1999 –> 2000-2012 6.762564 71999.2104
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 5847 3.6349919 31699.4240 32.897992 1982-1999 –> 2000-2012 6.673721 71652.9104
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5847 3.6645316 31794.0711 32.984718 1982-1999 –> 2000-2012 6.729423 71882.8678
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 5847 3.4179040 30979.3149 34.530964 1982-1999 –> 2000-2012 6.663667 71973.1419
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5847 3.6434273 31726.5299 33.075508 1982-1999 –> 2000-2012 6.696546 71754.5823
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5847 3.6434273 31726.5299 33.075508 1982-1999 –> 2000-2012 6.696546 71754.5823
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5847 3.6434273 31726.5299 33.075508 1982-1999 –> 2000-2012 6.696546 71754.5823
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 6.270480 70078.9213
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 6.270480 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 6.270480 70078.9213
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 3127 4.2298938 17907.4158 32.750414 2000-2012 –> 2013-2019 7.864886 49606.8398
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3127 4.2604972 17952.5008 32.866158 2000-2012 –> 2013-2019 7.925029 49746.5719
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 7.218462 48217.3705
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3127 4.2332498 17912.3758 32.987685 2000-2012 –> 2013-2019 7.876677 49638.9057
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3127 4.2332498 17912.3758 32.987685 2000-2012 –> 2013-2019 7.876677 49638.9057
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3127 4.2332498 17912.3758 32.987685 2000-2012 –> 2013-2019 7.876677 49638.9057
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 7.189910 48040.0175
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + oxygen + aou + silicate 3127 3.8939716 17387.9144 34.448255 2000-2012 –> 2013-2019 7.380496 48597.6798
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 7.189910 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 7.189910 48040.0175
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5836 3.2280103 30253.8699 9.417658 1982-1999 –> 2000-2012 5.571568 67074.4342
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5836 3.2280103 30253.8699 9.417658 1982-1999 –> 2000-2012 5.571568 67074.4342
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 5836 3.2280103 30253.8699 9.417658 1982-1999 –> 2000-2012 5.571568 67074.4342
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 5.489082 66680.8347
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5836 3.1804225 30080.5185 8.700790 1982-1999 –> 2000-2012 5.509304 66799.2566
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 5.443186 66808.9455
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 5.492925 66719.7736
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5836 3.1698959 30041.8225 8.686571 1982-1999 –> 2000-2012 5.492925 66719.7736
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate 5836 3.1824417 30085.9266 11.982022 1982-1999 –> 2000-2012 5.558239 67125.9669
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 5.492925 66719.7736
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 3104 3.7804110 17078.3721 11.020697 2000-2012 –> 2013-2019 7.008421 47332.2420
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + silicate 3104 3.7197021 16975.8697 10.325293 2000-2012 –> 2013-2019 6.943217 47211.4751
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 3104 3.7040372 16951.6707 10.351471 2000-2012 –> 2013-2019 6.877582 47006.9218
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3104 3.7079082 16958.1551 10.354380 2000-2012 –> 2013-2019 6.888331 47038.6736
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 6.524937 46106.8027
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + oxygen + silicate 3104 3.7042700 16950.0608 10.304542 2000-2012 –> 2013-2019 6.916653 47145.2858
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3104 3.6928602 16932.9096 10.332716 2000-2012 –> 2013-2019 6.862756 46974.7321
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3104 3.6928602 16932.9096 10.332716 2000-2012 –> 2013-2019 6.862756 46974.7321
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate 3104 3.7970417 17103.6222 16.783216 2000-2012 –> 2013-2019 6.979483 47189.5487
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3104 3.6928602 16932.9096 10.332716 2000-2012 –> 2013-2019 6.862756 46974.7321
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 2317 2.7304690 11242.0909 21.046900 1982-1999 –> 2000-2012 4.662358 24262.9999
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2317 2.7290365 11241.6591 21.325228 1982-1999 –> 2000-2012 4.650760 24231.5321
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2317 2.7290365 11241.6591 21.325228 1982-1999 –> 2000-2012 4.650760 24231.5321
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2317 2.7290365 11241.6591 21.325228 1982-1999 –> 2000-2012 4.650760 24231.5321
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2317 2.7364990 11254.3133 24.038402 1982-1999 –> 2000-2012 4.659266 24247.5857
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2317 2.7364990 11254.3133 24.038402 1982-1999 –> 2000-2012 4.659266 24247.5857
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2317 2.7364990 11254.3133 24.038402 1982-1999 –> 2000-2012 4.659266 24247.5857
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 4.548200 24032.6569
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 4.548200 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 4.548200 24032.6569
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1264 3.0327595 6405.8242 34.844332 2000-2012 –> 2013-2019 5.769259 17660.1374
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ sal + temp + oxygen + aou 1264 3.0443120 6413.4357 38.220881 2000-2012 –> 2013-2019 5.839816 17764.6057
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1264 3.0327595 6405.8242 34.844332 2000-2012 –> 2013-2019 5.769259 17660.1374
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1264 3.0327595 6405.8242 34.844332 2000-2012 –> 2013-2019 5.769259 17660.1374
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 5.639921 17477.2502
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 1264 3.1128492 6469.7178 31.766441 2000-2012 –> 2013-2019 5.853689 17729.3767
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 5.707192 17522.8898
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + oxygen + aou + silicate 1264 3.0764926 6440.0182 31.760951 2000-2012 –> 2013-2019 5.741350 17569.3968
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 5.707192 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 5.707192 17522.8898
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 2907 2.7916993 14230.6545 33.332942 1982-1999 –> 2000-2012 4.935430 31738.1725
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 2907 2.7916993 14230.6545 33.332942 1982-1999 –> 2000-2012 4.935430 31738.1725
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 2907 2.7916993 14230.6545 33.332942 1982-1999 –> 2000-2012 4.935430 31738.1725
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 2907 2.7916993 14230.6545 33.332942 1982-1999 –> 2000-2012 4.935430 31738.1725
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2907 2.7913452 14231.9170 33.450567 1982-1999 –> 2000-2012 4.933683 31736.2227
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2907 2.7913452 14231.9170 33.450567 1982-1999 –> 2000-2012 4.933683 31736.2227
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2907 2.7913452 14231.9170 33.450567 1982-1999 –> 2000-2012 4.933683 31736.2227
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2907 2.7856872 14220.1201 34.100919 1982-1999 –> 2000-2012 4.926975 31720.4944
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2907 2.7856872 14220.1201 34.100919 1982-1999 –> 2000-2012 4.926975 31720.4944
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2907 2.7856872 14220.1201 34.100919 1982-1999 –> 2000-2012 4.926975 31720.4944
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1542 3.2663069 8040.4138 37.467110 2000-2012 –> 2013-2019 6.060156 22277.5444
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1542 3.2663069 8040.4138 37.467110 2000-2012 –> 2013-2019 6.060156 22277.5444
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1542 3.2663069 8040.4138 37.467110 2000-2012 –> 2013-2019 6.060156 22277.5444
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 1542 3.2669990 8039.0671 37.333823 2000-2012 –> 2013-2019 6.060870 22274.2424
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1542 3.2637446 8037.9935 37.426960 2000-2012 –> 2013-2019 6.049432 22258.1136
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate 1542 3.2669990 8039.0671 37.333823 2000-2012 –> 2013-2019 6.060870 22274.2424
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 1542 3.2669990 8039.0671 37.333823 2000-2012 –> 2013-2019 6.060870 22274.2424
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 1542 3.2669990 8039.0671 37.333823 2000-2012 –> 2013-2019 6.060870 22274.2424
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1542 3.2637446 8037.9935 37.426960 2000-2012 –> 2013-2019 6.049432 22258.1136
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1542 3.2637446 8037.9935 37.426960 2000-2012 –> 2013-2019 6.049432 22258.1136
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2467 2.2115502 10931.1275 8.468880 1982-1999 –> 2000-2012 4.102269 25513.2034
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2467 2.2115502 10931.1275 8.468880 1982-1999 –> 2000-2012 4.102269 25513.2034
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2467 2.2115502 10931.1275 8.468880 1982-1999 –> 2000-2012 4.102269 25513.2034
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2467 2.2194485 10948.7174 8.518833 1982-1999 –> 2000-2012 4.115901 25552.2518
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2467 2.2200573 10950.0706 8.511640 1982-1999 –> 2000-2012 4.117994 25559.1480
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2467 2.2201767 10950.3359 8.520844 1982-1999 –> 2000-2012 4.118038 25559.1292
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2467 2.2201767 10950.3359 8.520844 1982-1999 –> 2000-2012 4.118038 25559.1292
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 4.064290 25405.1370
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 4.064290 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 4.064290 25405.1370
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1354 2.4779038 6313.7598 8.329809 2000-2012 –> 2013-2019 4.689454 17244.8873
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1354 2.4423749 6274.6507 8.778109 2000-2012 –> 2013-2019 4.670936 17243.5837
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ sal + temp + oxygen + aou 1354 2.4447260 6275.2563 9.287610 2000-2012 –> 2013-2019 4.675272 17246.5830
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1354 2.4423749 6274.6507 8.778109 2000-2012 –> 2013-2019 4.670936 17243.5837
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1354 2.4423749 6274.6507 8.778109 2000-2012 –> 2013-2019 4.670936 17243.5837
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 1354 2.4141296 6243.1511 8.012435 2000-2012 –> 2013-2019 4.619440 17160.3381
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1354 2.4266912 6257.2052 8.523746 2000-2012 –> 2013-2019 4.615321 17136.9304
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + oxygen + aou + silicate 1354 2.4448638 6275.4089 7.558374 2000-2012 –> 2013-2019 4.689121 17276.9724
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1354 2.4266912 6257.2052 8.523746 2000-2012 –> 2013-2019 4.615321 17136.9304
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1354 2.4266912 6257.2052 8.523746 2000-2012 –> 2013-2019 4.615321 17136.9304
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1718 1.8450332 6994.0133 9.467590 1982-1999 –> 2000-2012 3.441478 16645.3685
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1718 1.8450332 6994.0133 9.467590 1982-1999 –> 2000-2012 3.441478 16645.3685
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1718 1.8450332 6994.0133 9.467590 1982-1999 –> 2000-2012 3.441478 16645.3685
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1718 1.8511670 7005.4174 9.474435 1982-1999 –> 2000-2012 3.450132 16664.8274
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1718 1.8521019 7007.1522 9.467448 1982-1999 –> 2000-2012 3.452436 16670.9355
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1718 1.8521019 7007.1522 9.467448 1982-1999 –> 2000-2012 3.452436 16670.9355
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1718 1.8521019 7007.1522 9.467448 1982-1999 –> 2000-2012 3.452436 16670.9355
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 3.429878 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 3.429878 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 3.429878 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 3.884089 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 3.884089 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 3.884089 11125.9270
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 966 2.0453970 4137.9128 9.764284 2000-2012 –> 2013-2019 3.896564 11143.3302
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 966 2.0451030 4137.6351 9.755580 2000-2012 –> 2013-2019 3.897205 11144.7873
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 966 2.0451030 4137.6351 9.755580 2000-2012 –> 2013-2019 3.897205 11144.7873
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 966 2.0451030 4137.6351 9.755580 2000-2012 –> 2013-2019 3.897205 11144.7873
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 3.803398 11010.0164
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 3.803398 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 3.803398 11010.0164
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 14627 1.3378772 50039.0036 16.225048 1982-1999 –> 2000-2012 2.509014 114186.0580
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 14627 1.3378772 50039.0036 16.225048 1982-1999 –> 2000-2012 2.509014 114186.0580
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 14627 1.3378772 50039.0036 16.225048 1982-1999 –> 2000-2012 2.509014 114186.0580
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 14627 1.3377479 50036.1763 16.214317 1982-1999 –> 2000-2012 2.507781 114144.8850
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14627 1.3376755 50034.5935 16.199862 1982-1999 –> 2000-2012 2.506434 114098.9931
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 14627 1.3376755 50034.5945 16.199920 1982-1999 –> 2000-2012 2.506421 114098.5423
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 14627 1.3376755 50034.5945 16.199920 1982-1999 –> 2000-2012 2.506421 114098.5423
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14627 1.3376755 50034.5945 16.199920 1982-1999 –> 2000-2012 2.506421 114098.5423
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 14627 1.3376891 50032.8912 16.220724 1982-1999 –> 2000-2012 2.507346 114126.5367
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 14627 1.3940533 51242.2624 17.034744 1982-1999 –> 2000-2012 2.634077 117713.8450
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 7804 1.4923380 28409.3615 12.644005 2000-2012 –> 2013-2019 2.830215 78448.3652
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 7804 1.4923380 28409.3615 12.644005 2000-2012 –> 2013-2019 2.830215 78448.3652
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 7804 1.4923380 28409.3615 12.644005 2000-2012 –> 2013-2019 2.830215 78448.3652
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 7804 1.4925685 28411.7727 12.628703 2000-2012 –> 2013-2019 2.830316 78447.9491
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7804 1.4928857 28415.0892 12.611716 2000-2012 –> 2013-2019 2.830561 78449.6827
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 7804 1.4928764 28414.9925 12.611567 2000-2012 –> 2013-2019 2.830552 78449.5870
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 7804 1.4928764 28414.9925 12.611567 2000-2012 –> 2013-2019 2.830552 78449.5870
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7804 1.4928764 28414.9925 12.611567 2000-2012 –> 2013-2019 2.830552 78449.5870
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 7804 1.4961291 28446.9616 12.985788 2000-2012 –> 2013-2019 2.833818 78479.8528
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 7804 1.5521124 29022.3323 13.774789 2000-2012 –> 2013-2019 2.946166 80264.5947

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 2.383646 1200.2789
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 2.264667 724.3497
Atlantic (26,26.5] 1982-1999 –> 2000-2012 7.231497 13921.0434
Atlantic (26,26.5] 2000-2012 –> 2013-2019 7.297091 8777.1736
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.321909 16919.5121
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 6.617236 10748.5940
Atlantic (26.75,27] 1982-1999 –> 2000-2012 3.682245 22234.9669
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.544613 16176.1528
Atlantic (27,27.25] 1982-1999 –> 2000-2012 3.590560 18473.9059
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.237125 13610.4685
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 5.065349 22835.5723
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 6.356383 15863.7318
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 4.521531 29088.4447
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 5.291169 20424.2908
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 3.246815 8992.5070
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 3.433287 6035.9274
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 5.884381 11584.9938
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 6.599119 8088.5086
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 9.267599 17055.1693
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 8.813712 10910.3079
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 1.895172 5102.8990
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.073359 3620.6934
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.390914 4633.8651
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.633716 3456.3053
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.441274 8297.0559
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.626332 5521.2952
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 1.364819 13138.8615
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 1.549905 9766.9554
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 12.735885 81738.1473
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 12.151228 52382.6663
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 9.030786 77336.4960
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 9.269082 49908.8910
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 7.840887 60304.8992
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.318425 39601.2495
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 7.826592 71390.1260
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 8.740569 47382.6312
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 7.702894 84092.1564
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 9.125752 57870.1725
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.573045 71300.8641
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 7.558864 48920.5232
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.519329 66879.7627
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 6.872689 46995.5146
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.623704 24179.8324
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.750413 17608.9711
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.932369 31732.2841
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.057224 22270.3944
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.096965 25498.4679
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.653206 17207.0323
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.442151 16660.0669
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.865064 11098.5522
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 2.520194 114493.8061
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 2.842316 78633.5936

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
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
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
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
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
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 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
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
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
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 oxygen phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 10 7 7 6 10 3 3
(26,26.5] 6 5 5 6 10 10 7
(26.5,26.75] 8 6 6 6 7 10 7
(26.75,27] 10 7 7 6 3 10 3
(27,27.25] 7 5 6 6 9 10 6
(27.25,27.5] 7 5 7 5 10 9 6
(27.5,27.75] 6 4 6 6 10 10 6
(27.75,27.85] 8 6 6 6 10 7 7
(27.85,27.95] 10 7 7 6 3 3 10
(27.95,28.05] 7 5 6 7 8 10 7
(28.05,28.1] 10 6 7 6 7 7 7
(28.1,28.15] 7 6 7 6 7 10 7
(28.15,28.2] 10 6 7 6 7 7 7
(28.2, Inf] 7 6 7 6 7 10 7
total 113.00 81.00 91.00 84.00 108.00 116.00 90.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 7 6 6 6 10 8 7
(26,26.5] 5 4 6 6 10 10 7
(26.5,26.75] 8 6 6 6 7 10 7
(26.75,27] 10 6 8 5 4 10 4
(27,27.25] 7 4 6 6 10 10 5
(27.25,27.5] 6 4 6 6 10 10 6
(27.5,27.75] 6 4 6 6 10 10 6
(27.75,27.85] 7 5 7 6 10 8 7
(27.85,27.95] 10 6 7 7 6 6 7
(27.95,28.05] 7 5 6 7 10 8 7
(28.05,28.1] 7 6 7 6 10 7 7
(28.1,28.15] 10 7 7 5 10 4 4
(28.15,28.2] 7 6 7 6 7 10 7
(28.2, Inf] 7 6 7 6 7 10 7
total 104.00 75.00 92.00 84.00 121.00 121.00 88.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 10 7 7 6 10 3 3
(26,26.5] 7 5 7 6 8 10 7
(26.5,26.75] 10 6 7 6 4 10 4
(26.75,27] 10 7 7 6 3 3 10
(27,27.25] 10 6 7 7 6 6 7
(27.25,27.5] 7 6 6 5 7 10 9
(27.5,27.75] 6 5 6 5 10 10 7
(27.75,27.85] 10 7 7 6 6 7 6
(27.85,27.95] 10 7 7 6 3 10 3
(27.95,28.05] 8 5 7 6 7 10 7
(28.05,28.1] 7 6 7 6 7 10 7
(28.1, Inf] 6 5 5 7 9 10 7
total 101.00 72.00 80.00 72.00 80.00 99.00 77.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 10 7 7 6 10 3 3
(26,26.5] 6 5 5 7 9 10 7
(26.5,26.75] 10 7 7 6 3 10 3
(26.75,27] 10 7 7 6 3 3 10
(27,27.25] 10 7 6 7 6 6 7
(27.25,27.5] 7 6 5 5 6 10 10
(27.5,27.75] 5 5 5 3 10 10 9
(27.75,27.85] 10 7 5 5 5 5 10
(27.85,27.95] 10 7 7 6 3 3 10
(27.95,28.05] 10 8 4 5 6 6 9
(28.05,28.1] 7 6 7 6 7 10 7
(28.1, Inf] 6 5 5 7 9 10 7
total 101.00 77.00 70.00 69.00 77.00 86.00 92.00

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
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 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
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
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
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