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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove 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)[100]
        
        # 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)
          
          # calculate max VIF
          if (is.na(max(i_lm_fit$coefficients))){
            i_vif_max <- as.double("NA")
          } else{
          i_vif_max <- max(vif(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,
              vif_max = i_vif_max,
              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_vif_max,
  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,
    vif_max,
    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)

5.3 VIF threshold

To avoid multicollinearity among predictors, models were excluded with a VIF above:

  • 10

After removing models affected by multicollinearity, the targeted number of MLRs (10) was undercut in following fitting units:

# remove models with predictors fitted as NA
lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(vif_max <= params_local$vif_max)

lm_all_fitted_wide_check <- lm_all_fitted_wide %>%
  group_by(era, basin, gamma_slab) %>% 
  count() %>% 
  filter(n < params_local$MLR_number)
# 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() %>%
  filter(eras != "1982-1999 --> 2010-2019")

# 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)
}

5.4 RMSE tables

5.4.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab n_predictors model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26 0.4612966 47.551668 1.1237758 1982-1999 –> 2000-2009 2.4644429 281.37206
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 26 0.6987083 69.141666 2.2173182 1982-1999 –> 2000-2009 2.2138763 273.92601
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 26 0.4589059 47.281475 1.1203109 1982-1999 –> 2000-2009 2.3155101 273.20099
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26 0.4584876 47.234056 1.1189189 1982-1999 –> 2000-2009 2.2947015 272.00507
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 26 0.4678743 48.287914 1.5811594 1982-1999 –> 2000-2009 2.4153823 279.17878
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 26 0.4450286 45.684733 1.0682985 1982-1999 –> 2000-2009 2.2784176 270.29562
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26 0.4584940 47.234783 1.1190183 1982-1999 –> 2000-2009 2.2860715 271.51549
Atlantic (-Inf,26] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 26 0.6974382 69.047053 2.0723505 1982-1999 –> 2000-2009 2.1344991 268.32706
Atlantic (-Inf,26] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 26 0.7086122 67.873568 2.0369830 1982-1999 –> 2000-2009 2.3733810 280.45054
Atlantic (-Inf,26] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 26 0.5133095 53.107234 0.9152479 1982-1999 –> 2000-2009 1.8797173 247.14411
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26 0.2946619 24.244614 0.7713187 2000-2009 –> 2010-2019 0.7559584 71.79628
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 26 0.2506018 15.822521 0.4743830 2000-2009 –> 2010-2019 0.7519133 67.69989
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + aou + silicate 26 0.2833559 20.210130 0.7252885 2000-2009 –> 2010-2019 0.8169883 73.33643
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 26 0.2790915 21.421584 0.7403142 2000-2009 –> 2010-2019 0.7379973 68.70306
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26 0.2782978 21.273503 0.7394145 2000-2009 –> 2010-2019 0.7367854 68.50756
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + nitrate + silicate 26 0.2743139 18.523733 0.7065044 2000-2009 –> 2010-2019 0.7756628 68.40498
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 26 0.2727615 20.228613 0.6440915 2000-2009 –> 2010-2019 0.7406358 68.51653
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 26 0.2609157 17.919799 0.6909568 2000-2009 –> 2010-2019 0.7059443 63.60453
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26 0.2749403 20.642332 0.7285522 2000-2009 –> 2010-2019 0.7334343 67.87711
Atlantic (-Inf,26] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 26 0.2080469 6.145234 0.6119006 2000-2009 –> 2010-2019 0.7213564 59.25247
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 195 4.2358016 1130.379338 9.5121560 1982-1999 –> 2000-2009 7.3628248 2879.39492
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 195 4.2121666 1128.197119 10.4631952 1982-1999 –> 2000-2009 7.2964370 2867.87909
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 195 4.3374769 1139.630229 9.9260162 1982-1999 –> 2000-2009 7.5720102 2911.56434
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 195 4.3511486 1140.857569 10.0334319 1982-1999 –> 2000-2009 7.5962934 2915.01237
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 195 4.4744559 1151.756086 10.7896397 1982-1999 –> 2000-2009 7.9164457 2965.83812
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 195 4.3050687 1136.705331 10.9027558 1982-1999 –> 2000-2009 7.4929724 2898.79415
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 195 4.3272566 1138.710193 11.0127213 1982-1999 –> 2000-2009 7.5347245 2904.94719
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 195 4.3784146 1143.293838 10.0170066 1982-1999 –> 2000-2009 7.6468844 2922.30444
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 195 4.3443157 1140.244645 11.3072321 1982-1999 –> 2000-2009 7.5851708 2913.50260
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 195 4.3360442 1139.501385 10.9822045 1982-1999 –> 2000-2009 7.5511513 2907.35125
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 280 3.6791944 1538.114111 12.9487717 2000-2009 –> 2010-2019 7.9149960 2668.49345
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 280 3.5179481 1513.017200 14.3863133 2000-2009 –> 2010-2019 7.7301147 2641.21432
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 280 3.6885346 1539.533960 12.9504155 2000-2009 –> 2010-2019 8.0260115 2679.16419
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 280 3.6904295 1539.821576 12.9472472 2000-2009 –> 2010-2019 8.0415781 2680.67915
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 280 3.5280245 1514.618911 14.3935647 2000-2009 –> 2010-2019 7.8330932 2651.32424
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 280 3.5316531 1515.194567 14.3791024 2000-2009 –> 2010-2019 7.8589096 2653.90476
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 280 3.6950679 1540.524975 12.9230879 2000-2009 –> 2010-2019 8.0734825 2683.81881
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 280 3.4879104 1508.215153 15.1596208 2000-2009 –> 2010-2019 7.8322261 2648.45980
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 280 3.5337546 1515.527700 14.3625309 2000-2009 –> 2010-2019 7.8697988 2655.02908
Atlantic (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 280 3.5480863 1517.794279 17.0800491 2000-2009 –> 2010-2019 8.0752334 2674.11617
Atlantic (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 266 3.0832651 1367.901514 9.7437457 1982-1999 –> 2000-2009 5.7507884 3181.96826
Atlantic (26.5,26.75] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 266 3.1720764 1381.008861 7.8194486 1982-1999 –> 2000-2009 5.8827065 3205.09858
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 266 2.9959557 1352.619372 8.6471002 1982-1999 –> 2000-2009 5.9234581 3236.43548
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 266 2.9772616 1349.289400 7.0206396 1982-1999 –> 2000-2009 5.6878307 3175.36228
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 266 2.9759262 1349.050729 7.0393155 1982-1999 –> 2000-2009 5.7419127 3190.30265
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 266 2.9763191 1349.120955 7.1250744 1982-1999 –> 2000-2009 5.7760658 3199.47158
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 266 2.9768698 1349.219384 7.1462711 1982-1999 –> 2000-2009 5.7885455 3202.75877
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 266 3.1148181 1373.318142 7.7324317 1982-1999 –> 2000-2009 5.8443928 3204.63140
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 266 3.1295698 1375.831733 7.7973121 1982-1999 –> 2000-2009 5.8943301 3216.75108
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 266 3.1255830 1375.153581 10.1985469 1982-1999 –> 2000-2009 5.7547879 3178.36858
Atlantic (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 399 4.0481592 2262.126237 11.6682058 2000-2009 –> 2010-2019 7.1314243 3630.02775
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 399 3.9454953 2241.627400 10.3542399 2000-2009 –> 2010-2019 7.1174889 3624.62238
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 399 4.1747037 2286.689569 12.6310803 2000-2009 –> 2010-2019 7.1519653 3635.97897
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 399 4.0497790 2262.445478 11.1047560 2000-2009 –> 2010-2019 7.1990919 3641.62282
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 399 4.0610781 2264.668832 11.1620397 2000-2009 –> 2010-2019 7.2024003 3642.49464
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 399 4.2468642 2300.365289 13.1771635 2000-2009 –> 2010-2019 7.2227904 3649.41602
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 399 4.0887332 2270.084630 11.3809634 2000-2009 –> 2010-2019 7.2207378 3646.33011
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 399 4.0014728 2252.869624 9.4335770 2000-2009 –> 2010-2019 7.2156011 3642.88480
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 399 4.0879171 2269.925340 11.7699890 2000-2009 –> 2010-2019 7.2027352 3643.24348
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 399 4.0446741 2261.438923 11.1809128 2000-2009 –> 2010-2019 7.1702571 3636.59250
Atlantic (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 437 2.2563607 1965.372563 6.7544677 1982-1999 –> 2000-2009 3.9467597 5000.19804
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 437 2.3258848 1989.896145 10.1912322 1982-1999 –> 2000-2009 4.0464360 5050.19648
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 437 2.2874229 1977.322446 9.5012148 1982-1999 –> 2000-2009 4.0072407 5038.96023
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 437 2.4136640 2024.273815 9.4271827 1982-1999 –> 2000-2009 4.2924413 5223.28960
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 437 2.4901171 2051.528462 9.5746019 1982-1999 –> 2000-2009 4.4450789 5312.31493
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 437 2.3904831 2015.839335 6.1759019 1982-1999 –> 2000-2009 4.2399778 5190.44376
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 437 2.4414961 2034.294310 5.9087131 1982-1999 –> 2000-2009 4.3637303 5268.84532
Atlantic (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate 437 2.5022807 2053.787344 10.6705256 1982-1999 –> 2000-2009 4.3866544 5255.42523
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 437 2.2192662 1950.884622 9.5895072 1982-1999 –> 2000-2009 3.8043227 4885.71866
Atlantic (26.75,27] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 437 2.4936948 2052.783295 6.1766706 1982-1999 –> 2000-2009 4.4554475 5318.95848
Atlantic (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 718 2.4769462 3354.085665 8.0320187 2000-2009 –> 2010-2019 4.7333068 5319.45823
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 718 2.9696399 3612.596599 13.9488001 2000-2009 –> 2010-2019 5.2955248 5602.49274
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 718 2.6719290 3462.897516 8.7435497 2000-2009 –> 2010-2019 5.3010271 5561.89389
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 718 2.8360788 3548.514300 13.5935133 2000-2009 –> 2010-2019 5.1235017 5525.83675
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 718 2.8589493 3560.047931 13.6254278 2000-2009 –> 2010-2019 5.2726133 5584.32175
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 718 2.8870239 3574.080516 13.7078252 2000-2009 –> 2010-2019 5.3771410 5625.60898
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 718 2.5100961 3373.176717 8.2219439 2000-2009 –> 2010-2019 4.9005792 5389.01605
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 718 2.5228723 3380.467341 8.2625661 2000-2009 –> 2010-2019 4.9643684 5414.76165
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 718 2.9258385 3593.258214 13.5518755 2000-2009 –> 2010-2019 5.1451047 5544.14284
Atlantic (26.75,27] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 718 2.5532499 3397.654789 8.4070927 2000-2009 –> 2010-2019 5.0469447 5450.43808
Atlantic (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 532 1.8720745 2190.928805 6.0350504 1982-1999 –> 2000-2009 3.2982588 5657.01820
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 532 2.0076108 2265.300465 7.1133256 1982-1999 –> 2000-2009 3.5036649 5824.46402
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 532 2.1943693 2357.942538 9.9168850 1982-1999 –> 2000-2009 3.7017445 5929.77663
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 532 2.1821648 2354.008305 10.2133301 1982-1999 –> 2000-2009 3.5584434 5750.78241
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 532 2.1904752 2358.052687 10.0860683 1982-1999 –> 2000-2009 3.5981713 5798.75032
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 532 2.2258811 2375.113201 10.0970598 1982-1999 –> 2000-2009 3.6771068 5875.07460
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 532 2.2344064 2379.180642 10.1032253 1982-1999 –> 2000-2009 3.6983967 5896.18371
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 532 1.9807149 2250.949758 6.7823323 1982-1999 –> 2000-2009 3.5121789 5855.63632
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 532 1.9864705 2254.037066 6.7937677 1982-1999 –> 2000-2009 3.5533153 5903.16980
Atlantic (27,27.25] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 532 2.0677086 2296.683886 7.2196765 1982-1999 –> 2000-2009 3.6774913 5998.42730
Atlantic (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 993 1.9788983 4187.536960 9.0909913 2000-2009 –> 2010-2019 3.8509729 6378.46576
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 993 2.0230370 4231.347209 9.0217246 2000-2009 –> 2010-2019 4.0306478 6496.64767
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 993 2.1242832 4328.332679 9.5947536 2000-2009 –> 2010-2019 4.3456159 6701.26948
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 993 2.2411881 4434.726072 11.6181637 2000-2009 –> 2010-2019 4.4233528 6788.73438
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 993 2.0125378 4221.013403 9.7400104 2000-2009 –> 2010-2019 3.9982529 6474.64579
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 993 2.2307291 4425.436317 11.3758512 2000-2009 –> 2010-2019 4.4212043 6783.48900
Atlantic (27,27.25] 4 cstar_tref ~ temp + aou + nitrate + silicate 993 2.1023896 4305.758085 9.6134739 2000-2009 –> 2010-2019 4.1043825 6566.07696
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 993 2.0934467 4299.292271 9.7133649 2000-2009 –> 2010-2019 4.0741616 6550.24203
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 993 2.0888173 4294.895559 9.7051217 2000-2009 –> 2010-2019 4.0752878 6548.93262
Atlantic (27,27.25] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 993 2.1740649 4374.336811 10.0889611 2000-2009 –> 2010-2019 4.2417735 6671.02070
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1146 3.4217842 6085.738650 10.2052540 1982-1999 –> 2000-2009 4.8918674 10920.71486
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1146 3.7606715 6302.184677 15.0121679 1982-1999 –> 2000-2009 5.0768650 10841.70406
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1146 3.3336920 6025.959379 9.4485997 1982-1999 –> 2000-2009 5.1325438 11400.22410
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1146 3.7223836 6278.729879 14.2697860 1982-1999 –> 2000-2009 4.9676432 10670.22095
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1146 3.5777878 6187.921929 15.5407138 1982-1999 –> 2000-2009 4.8677210 10673.59125
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1146 3.1771583 5915.729771 9.9721428 1982-1999 –> 2000-2009 5.0203569 11355.06793
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1146 3.4629436 6113.143799 13.8886795 1982-1999 –> 2000-2009 4.8280311 10750.12352
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1146 3.5824413 6190.901109 15.4457626 1982-1999 –> 2000-2009 4.8883080 10709.37338
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1146 3.5123400 6145.606545 8.3861841 1982-1999 –> 2000-2009 5.0947381 11177.30205
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1146 3.0609354 5830.314603 7.5696476 1982-1999 –> 2000-2009 4.5828490 10757.87428
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + nitrate + silicate 1481 3.3112919 7761.412285 9.4536252 2000-2009 –> 2010-2019 6.7875362 13881.34251
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1481 3.1212077 7588.303651 9.2308580 2000-2009 –> 2010-2019 6.5429919 13674.04230
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1481 3.0852387 7553.971095 9.4787069 2000-2009 –> 2010-2019 6.5352142 13658.51572
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1481 3.2982541 7751.726777 8.9832350 2000-2009 –> 2010-2019 6.6723393 13805.29066
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1481 3.0105839 7481.416943 8.6069108 2000-2009 –> 2010-2019 6.5883717 13669.33887
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1481 3.4931167 7921.748892 11.9393875 2000-2009 –> 2010-2019 6.6702751 13837.47866
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1481 3.0103932 7481.229324 8.5526966 2000-2009 –> 2010-2019 6.4733367 13594.37312
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1481 3.0117753 7482.588911 8.6149081 2000-2009 –> 2010-2019 6.5942166 13673.49002
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1481 3.0202896 7488.950709 8.9268723 2000-2009 –> 2010-2019 6.7623769 13777.78086
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1481 3.5290741 7952.083217 9.6500374 2000-2009 –> 2010-2019 6.5900095 13782.39782
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + nitrate + phosphate 2232 2.5957161 10604.183493 15.8720202 1982-1999 –> 2000-2009 4.1571778 20848.89393
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2232 2.5847821 10587.339973 15.3700496 1982-1999 –> 2000-2009 3.9662612 20161.94796
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2232 2.5753150 10570.959912 16.3852428 1982-1999 –> 2000-2009 4.1253119 20777.22688
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2232 2.5697378 10561.282028 15.4758679 1982-1999 –> 2000-2009 3.9036484 19943.59140
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2232 2.5179329 10470.370144 17.5512775 1982-1999 –> 2000-2009 3.8649132 19906.18956
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2232 2.5503283 10527.437055 15.8715208 1982-1999 –> 2000-2009 4.0741275 20640.15398
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2232 2.4941516 10428.008227 18.2048947 1982-1999 –> 2000-2009 3.9159150 20160.35876
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2232 2.5227542 10478.909507 17.0120152 1982-1999 –> 2000-2009 3.8226608 19719.50487
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2232 2.4966766 10432.525252 17.4199840 1982-1999 –> 2000-2009 3.9130570 20144.05787
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2232 2.4981354 10435.132827 17.9164450 1982-1999 –> 2000-2009 3.9190869 20164.34856
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2445 2.2522681 10922.985093 10.5282563 2000-2009 –> 2010-2019 4.8370502 21510.32507
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2445 2.0380307 10434.211067 9.2449209 2000-2009 –> 2010-2019 4.6133456 21005.17098
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 2445 2.1082755 10597.915276 9.1080725 2000-2009 –> 2010-2019 4.6863009 21171.57087
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2445 2.0911881 10560.120822 9.0148908 2000-2009 –> 2010-2019 4.6584814 21117.15444
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2445 2.2258838 10865.362628 10.5219647 2000-2009 –> 2010-2019 4.7956215 21426.64466
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2445 2.0929814 10564.312368 9.3559664 2000-2009 –> 2010-2019 4.6433097 21091.74942
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2445 2.1072455 10597.525692 9.2920764 2000-2009 –> 2010-2019 4.6013971 21025.53392
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2445 2.3393694 11108.529575 11.4438471 2000-2009 –> 2010-2019 4.8621236 21587.43908
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2445 2.1183958 10623.332544 9.3062709 2000-2009 –> 2010-2019 4.6150725 21055.85780
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2445 2.1049524 10592.201378 9.2385623 2000-2009 –> 2010-2019 4.6030878 21027.33421
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 943 1.2008724 3035.347091 6.6927010 1982-1999 –> 2000-2009 1.8069102 4817.65706
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 943 1.1308599 2922.055262 5.2848712 1982-1999 –> 2000-2009 1.9439582 5270.43497
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 943 1.1108068 2888.311457 5.4067728 1982-1999 –> 2000-2009 1.7690986 4829.91288
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 943 1.2270444 3076.009445 6.8197469 1982-1999 –> 2000-2009 1.8530080 4920.62529
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 943 0.9505889 2594.547618 4.0066623 1982-1999 –> 2000-2009 1.6724408 4713.67189
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 943 1.1248948 2912.080473 5.4321788 1982-1999 –> 2000-2009 1.8070002 4922.12417
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 943 1.1767772 2997.120258 5.6967216 1982-1999 –> 2000-2009 1.8977700 5113.95094
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 943 1.2683518 3138.454705 7.1217548 1982-1999 –> 2000-2009 1.9172956 5052.51037
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 943 1.1727790 2990.701513 5.6610359 1982-1999 –> 2000-2009 1.8943764 5109.14657
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 943 1.1722742 2989.889508 5.6523079 1982-1999 –> 2000-2009 1.8929717 5105.93118
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 949 1.1285278 2936.639978 4.8014315 2000-2009 –> 2010-2019 2.3294001 5971.98707
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 949 1.2286944 3098.042522 4.9562206 2000-2009 –> 2010-2019 2.3595544 6020.09778
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate 949 1.3353100 3253.977583 4.7733283 2000-2009 –> 2010-2019 2.4695161 6179.60523
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 949 1.2134912 3074.411203 5.3458160 2000-2009 –> 2010-2019 2.3242981 5962.72266
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 949 1.1654208 2997.695327 4.9226766 2000-2009 –> 2010-2019 2.3924652 6073.70477
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 949 1.4216877 3374.946579 8.1359293 2000-2009 –> 2010-2019 2.3722766 5969.49420
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 949 1.2572889 3141.707054 5.3430480 2000-2009 –> 2010-2019 2.3821836 6053.78753
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 949 1.1939155 3043.543488 4.9754674 2000-2009 –> 2010-2019 2.4622673 6181.99819
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 949 1.3208536 3235.317303 5.5135714 2000-2009 –> 2010-2019 2.4936326 6226.01882
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 949 1.3146656 3226.404572 5.4986088 2000-2009 –> 2010-2019 2.4869398 6216.29408
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 836 0.9149792 2237.901342 10.3082182 1982-1999 –> 2000-2009 1.8187176 4958.50496
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 836 1.1188958 2574.301628 12.0400737 1982-1999 –> 2000-2009 2.1624689 5590.40546
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 836 0.9455565 2292.864005 10.6986475 1982-1999 –> 2000-2009 1.8715518 5063.43952
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 836 1.0499028 2467.887544 11.8633623 1982-1999 –> 2000-2009 2.0416164 5379.29625
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 836 0.8651218 2144.217577 7.9471856 1982-1999 –> 2000-2009 1.7859937 4903.39716
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 836 1.1444639 2612.078713 12.2962059 1982-1999 –> 2000-2009 2.2214064 5692.83339
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 836 0.9729963 2340.694221 10.9020013 1982-1999 –> 2000-2009 1.9208367 5159.16298
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 836 1.1889522 2675.842271 7.7193161 1982-1999 –> 2000-2009 2.2314409 5689.81073
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 836 1.1954694 2682.982349 7.6077967 1982-1999 –> 2000-2009 2.2409866 5700.90896
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 836 1.1819417 2665.954331 7.0484875 1982-1999 –> 2000-2009 2.2267576 5684.50299
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 941 1.9787747 3968.865535 16.1519445 2000-2009 –> 2010-2019 2.8937538 6206.76688
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 941 1.6597049 3637.938467 9.9823244 2000-2009 –> 2010-2019 2.7786008 6212.24009
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 941 2.0815787 4064.186586 17.5322112 2000-2009 –> 2010-2019 3.0271353 6357.05059
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 941 1.5550503 3515.360193 9.1470242 2000-2009 –> 2010-2019 2.4201721 5659.57777
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 941 1.7396021 3726.423680 10.0969727 2000-2009 –> 2010-2019 2.8840660 6338.50239
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 941 1.8046688 3795.532038 10.1543304 2000-2009 –> 2010-2019 3.0018193 6482.86381
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 941 1.8100710 3801.157217 10.1705079 2000-2009 –> 2010-2019 3.0245175 6512.47281
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 941 1.7969381 3787.452717 10.0977272 2000-2009 –> 2010-2019 2.9865419 6464.21110
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 941 1.8161834 3807.501869 8.8789568 2000-2009 –> 2010-2019 3.0051356 6483.34414
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 941 1.7962850 3786.768593 9.6316612 2000-2009 –> 2010-2019 2.9782267 6452.72292
Atlantic (27.95,28.05] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 995 2.1335555 4345.689433 15.5189572 1982-1999 –> 2000-2009 3.8596003 9385.57383
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 995 2.5489717 4699.710857 11.4984169 1982-1999 –> 2000-2009 4.8255993 10447.80995
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 995 2.6477576 4775.376741 9.4725070 1982-1999 –> 2000-2009 5.0596858 10671.15255
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 995 2.8023488 4888.298948 18.2726781 1982-1999 –> 2000-2009 4.9450405 10481.30042
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 995 2.9651998 5000.707070 18.9729074 1982-1999 –> 2000-2009 5.2041151 10706.07815
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 995 2.7050518 4817.978610 18.5390472 1982-1999 –> 2000-2009 4.9404853 10519.36854
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 995 2.8747252 4937.042306 19.1756649 1982-1999 –> 2000-2009 5.1155386 10642.58100
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 995 2.0564931 4272.481971 15.6866947 1982-1999 –> 2000-2009 3.7084393 9200.12533
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 995 1.8564843 4068.869896 15.4184543 1982-1999 –> 2000-2009 3.3794431 8788.55019
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 995 2.0307903 4247.453480 15.8306654 1982-1999 –> 2000-2009 3.6569656 9134.87672
Atlantic (27.95,28.05] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1159 2.4687603 5397.913511 10.1800328 2000-2009 –> 2010-2019 4.6023158 9743.60294
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1159 2.7421718 5641.382592 9.9061783 2000-2009 –> 2010-2019 5.2911436 10341.09345
Atlantic (27.95,28.05] 4 cstar_tref ~ sal + nitrate + silicate + phosphate 1159 2.7851801 5675.456020 10.9222188 2000-2009 –> 2010-2019 5.5663214 10546.63784
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1159 2.7746533 5668.678298 10.5530196 2000-2009 –> 2010-2019 5.4224109 10444.05504
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1159 2.8287698 5713.453071 11.8030835 2000-2009 –> 2010-2019 5.6311186 10601.75202
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1159 2.6988957 5604.508905 10.5210115 2000-2009 –> 2010-2019 5.4524757 10457.87133
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1159 2.4431995 5373.788483 10.2445534 2000-2009 –> 2010-2019 4.4996926 9646.27045
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1159 2.4283795 5359.685133 10.1657196 2000-2009 –> 2010-2019 4.2848638 9428.55503
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + nitrate + silicate + phosphate 1159 2.7132164 5614.775963 10.6009794 2000-2009 –> 2010-2019 5.5070650 10495.02957
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1159 2.4383406 5369.174023 10.2715256 2000-2009 –> 2010-2019 4.4691309 9616.62750
Atlantic (28.05,28.1] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 565 0.9530368 1563.045607 8.4238686 1982-1999 –> 2000-2009 1.6865569 3185.15099
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 565 1.0988011 1723.868825 11.0329995 1982-1999 –> 2000-2009 1.8124660 3306.18412
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 565 1.0696196 1693.453007 10.3483683 1982-1999 –> 2000-2009 1.7837730 3276.76044
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 565 1.0302574 1651.084320 11.3456194 1982-1999 –> 2000-2009 1.7081982 3158.93705
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 565 0.9596324 1570.838916 11.2298811 1982-1999 –> 2000-2009 1.5986805 2993.02521
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 565 0.9667475 1579.186225 8.2426612 1982-1999 –> 2000-2009 1.7192799 3238.39598
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 565 1.0089752 1627.497311 8.0254745 1982-1999 –> 2000-2009 1.8094728 3376.30159
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 565 1.0495706 1670.071178 11.3060108 1982-1999 –> 2000-2009 1.7462070 3215.36911
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 565 0.9041957 1503.598893 9.9780290 1982-1999 –> 2000-2009 1.5342295 2905.18597
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 565 0.9727422 1586.171613 8.1484037 1982-1999 –> 2000-2009 1.7354398 3264.83680
Atlantic (28.05,28.1] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 709 1.3459604 2447.353664 7.2268997 2000-2009 –> 2010-2019 2.2989972 4010.39927
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 709 1.3604520 2462.539361 7.2737180 2000-2009 –> 2010-2019 2.4592532 4186.40819
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 709 1.3665441 2468.874983 7.2076672 2000-2009 –> 2010-2019 2.4361637 4162.32799
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 709 1.2024266 2287.451398 6.8358347 2000-2009 –> 2010-2019 2.2326840 3938.53572
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 709 1.0632146 2112.973983 6.1715212 2000-2009 –> 2010-2019 2.0228470 3683.81290
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 709 1.3751209 2477.746909 7.2525742 2000-2009 –> 2010-2019 2.3418684 4056.93313
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 709 1.4142077 2517.490280 7.1695910 2000-2009 –> 2010-2019 2.4231829 4144.98759
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 709 1.2089146 2293.081900 7.0646333 2000-2009 –> 2010-2019 2.2584851 3963.15308
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 709 1.0823156 2138.222627 6.1089412 2000-2009 –> 2010-2019 1.9865113 3641.82152
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 709 1.3840146 2486.888411 7.2353901 2000-2009 –> 2010-2019 2.3567568 4073.06002
Atlantic (28.1,28.15] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 908 1.1067176 2774.932137 9.0447692 1982-1999 –> 2000-2009 1.7262965 4379.79001
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 908 1.2080347 2934.006965 8.7563730 1982-1999 –> 2000-2009 1.8735137 4659.78699
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 908 1.2881407 3050.603389 8.5301866 1982-1999 –> 2000-2009 1.9011658 4637.46797
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 908 1.2931994 3057.721025 8.4302400 1982-1999 –> 2000-2009 1.9156353 4670.36306
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 908 1.2958815 3061.483572 8.4132194 1982-1999 –> 2000-2009 1.9270548 4697.71178
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 908 1.3558501 3143.634772 12.7091836 1982-1999 –> 2000-2009 1.8730694 4442.96294
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 908 1.1097470 2779.896202 8.9216934 1982-1999 –> 2000-2009 1.7463943 4430.73554
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 908 1.1263375 2806.844064 8.4411038 1982-1999 –> 2000-2009 1.7963633 4544.14533
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 908 1.2036210 2927.359882 12.8240665 1982-1999 –> 2000-2009 1.7089992 4187.50153
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 908 1.1101453 2780.547793 8.9121384 1982-1999 –> 2000-2009 1.7553281 4453.92109
Atlantic (28.1,28.15] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 935 1.0702994 2794.459956 4.9598195 2000-2009 –> 2010-2019 2.1770171 5569.39209
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 935 1.1033410 2851.316199 5.3405839 2000-2009 –> 2010-2019 2.3914818 5901.91959
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 935 0.9649802 2600.753814 4.6024595 2000-2009 –> 2010-2019 2.3587381 5794.46479
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 935 1.1493847 2927.769060 3.1696545 2000-2009 –> 2010-2019 2.2949818 5765.40304
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 935 0.8646157 2395.385782 4.4165643 2000-2009 –> 2010-2019 2.2204657 5539.02055
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 935 1.0941208 2835.623656 4.9066811 2000-2009 –> 2010-2019 2.2038678 5615.51986
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 935 1.1286149 2893.668538 5.0116212 2000-2009 –> 2010-2019 2.2549524 5700.51260
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 935 0.8367170 2334.051331 3.9023945 2000-2009 –> 2010-2019 2.0403380 5261.41121
Atlantic (28.1,28.15] 4 cstar_tref ~ temp + nitrate + silicate + phosphate 935 1.1505673 2927.692132 3.1816529 2000-2009 –> 2010-2019 2.2972426 5765.03447
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 935 1.0996996 2845.134285 4.8277561 2000-2009 –> 2010-2019 2.2098448 5625.68208
Atlantic (28.15,28.2] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1598 0.9948721 4532.496509 11.7853333 1982-1999 –> 2000-2009 1.6885761 7693.54369
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1598 1.0000672 4549.142268 11.3734931 1982-1999 –> 2000-2009 1.6471742 7502.42275
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + temp + aou + nitrate 1598 1.0207059 4612.427873 10.3934017 1982-1999 –> 2000-2009 1.6748479 7596.01682
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1598 1.0145632 4595.135952 11.2048624 1982-1999 –> 2000-2009 1.6618833 7549.40005
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1598 1.0170476 4602.952383 10.9937643 1982-1999 –> 2000-2009 1.6626483 7549.26956
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1598 1.0204592 4613.655376 10.5439663 1982-1999 –> 2000-2009 1.6729567 7591.72296
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1598 0.8241320 3930.742454 22.0243055 1982-1999 –> 2000-2009 1.6078329 7456.27226
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1598 1.0219820 4618.421102 11.2930549 1982-1999 –> 2000-2009 1.6753683 7600.55588
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1598 0.7410099 3590.954221 14.1622973 1982-1999 –> 2000-2009 1.3094493 6156.93943
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1598 0.8299492 3953.222509 13.4004578 1982-1999 –> 2000-2009 1.6328807 7551.18698
Atlantic (28.15,28.2] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 1799 0.8421752 4499.322320 5.0205298 2000-2009 –> 2010-2019 1.8442221 9052.78520
Atlantic (28.15,28.2] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1799 0.8356059 4473.146562 5.0080576 2000-2009 –> 2010-2019 1.8304780 9005.64307
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1799 0.8412541 4497.384982 5.0120045 2000-2009 –> 2010-2019 1.8413213 9046.52725
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1799 0.8620040 4585.054546 4.9749893 2000-2009 –> 2010-2019 1.8765672 9180.19050
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1799 0.8535794 4549.717377 4.9644937 2000-2009 –> 2010-2019 1.8740387 9163.37275
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1799 0.6180280 3387.905622 2.7434494 2000-2009 –> 2010-2019 1.4421599 7318.64808
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1799 0.5590174 3026.834931 3.5666234 2000-2009 –> 2010-2019 1.3000272 6617.78915
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1799 0.8536781 4550.133405 4.9663029 2000-2009 –> 2010-2019 1.8673856 9142.57256
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1799 0.8528647 4546.703651 4.9278645 2000-2009 –> 2010-2019 1.8754000 9166.85441
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1799 0.7989017 4311.527439 3.2000413 2000-2009 –> 2010-2019 1.6288509 8264.74995
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate 2503 0.7433965 5630.798439 3.8567442 1982-1999 –> 2000-2009 1.2539903 9285.48189
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2503 0.7426981 5628.093397 3.7381585 1982-1999 –> 2000-2009 1.2519256 9271.70654
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 2503 0.7427187 5626.231880 3.7225076 1982-1999 –> 2000-2009 1.2612431 9356.09953
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + silicate 2503 0.7280124 5526.115632 3.7500934 1982-1999 –> 2000-2009 1.2626263 9405.04325
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2503 0.7078047 5387.197168 3.8952298 1982-1999 –> 2000-2009 1.1769241 8630.63190
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2503 0.7188280 5464.559417 3.7938297 1982-1999 –> 2000-2009 1.2261529 9089.91294
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2503 0.7424889 5626.682955 3.7234726 1982-1999 –> 2000-2009 1.2521063 9274.02968
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2503 0.7427126 5628.191003 3.7143011 1982-1999 –> 2000-2009 1.2533461 9285.25363
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2503 0.7265701 5518.188502 3.7520993 1982-1999 –> 2000-2009 1.2610625 9398.00673
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2503 0.7456953 5648.254909 3.7066617 1982-1999 –> 2000-2009 1.2517208 9261.09802
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate 4184 0.6260611 7966.882435 3.5083580 2000-2009 –> 2010-2019 1.3694576 13597.68087
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4184 0.6210576 7901.736290 3.7727480 2000-2009 –> 2010-2019 1.3637557 13529.82969
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 4184 0.6210622 7899.797458 3.7812284 2000-2009 –> 2010-2019 1.3637808 13526.02934
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + silicate 4184 0.6072181 7711.156949 3.5915793 2000-2009 –> 2010-2019 1.3352305 13237.27258
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4184 0.5268904 6525.775488 2.7635469 2000-2009 –> 2010-2019 1.2346951 11912.97266
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4184 0.5658093 7122.116242 3.8433141 2000-2009 –> 2010-2019 1.2846372 12586.67566
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 4184 0.6214339 7906.805352 3.7601977 2000-2009 –> 2010-2019 1.3639228 13533.48831
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4184 0.6210308 7901.375522 3.7592164 2000-2009 –> 2010-2019 1.3637434 13529.56652
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 4184 0.6055580 7690.247086 3.7505322 2000-2009 –> 2010-2019 1.3321281 13208.43559
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4184 0.6236731 7936.903077 3.7401585 2000-2009 –> 2010-2019 1.3693685 13585.15799
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1870 5.5723358 11745.455701 27.9741821 1982-1999 –> 2000-2009 10.7930679 18559.92534
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 1870 5.9369868 11980.524616 24.3591049 1982-1999 –> 2000-2009 11.2229843 18820.50034
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1870 5.6773350 11815.272547 22.8831084 1982-1999 –> 2000-2009 10.8455704 18607.36680
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1870 5.8719382 11941.321155 32.0912255 1982-1999 –> 2000-2009 10.7938984 18625.31805
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1870 5.9779183 12008.220906 35.1896101 1982-1999 –> 2000-2009 11.0594274 18762.84753
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1870 5.9112576 11966.281277 25.2616093 1982-1999 –> 2000-2009 10.9471159 18700.92812
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1870 6.0078479 12026.899164 22.9150820 1982-1999 –> 2000-2009 10.9871046 18736.52039
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1870 6.1502900 12114.537248 23.4211186 1982-1999 –> 2000-2009 11.3358115 18914.02425
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1870 6.0414750 12047.774327 33.1165944 1982-1999 –> 2000-2009 11.1846578 18829.11028
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1870 6.1766158 12130.511836 23.4218468 1982-1999 –> 2000-2009 11.4008529 18946.46738
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2886 4.1302229 16390.721920 15.7392806 2000-2009 –> 2010-2019 9.7025587 28136.17762
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 2886 5.4725451 18013.034340 23.3019252 2000-2009 –> 2010-2019 11.4095319 29993.55896
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2886 5.1162063 17626.402210 23.0261491 2000-2009 –> 2010-2019 10.7935413 29441.67476
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + aou + nitrate 2886 4.2991951 16620.158632 17.2633536 2000-2009 –> 2010-2019 11.2916590 29212.66410
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2886 4.2974429 16619.805608 17.5543020 2000-2009 –> 2010-2019 10.1693811 28561.12676
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2886 4.2991757 16622.132523 17.2990517 2000-2009 –> 2010-2019 10.2770940 28630.35343
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2886 3.9649307 16154.976195 17.2402482 2000-2009 –> 2010-2019 10.4675221 28477.83717
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2886 5.3090882 17840.006038 24.4320335 2000-2009 –> 2010-2019 11.2203458 29806.28732
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2886 5.4794782 18022.342174 30.5719314 2000-2009 –> 2010-2019 11.4873260 30049.24134
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2886 4.4339077 16800.244808 18.6649548 2000-2009 –> 2010-2019 10.4753827 28848.01913
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2140 4.3337619 12363.402871 14.6466597 1982-1999 –> 2000-2009 7.7925132 20489.93362
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2140 4.1648510 12193.249497 15.3956493 1982-1999 –> 2000-2009 8.0042505 20638.22573
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2140 4.3118926 12341.750126 15.9832553 1982-1999 –> 2000-2009 7.7358537 20437.44688
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2140 4.4676017 12493.582365 16.7086034 1982-1999 –> 2000-2009 7.9870443 20673.16785
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2140 4.1715467 12200.124791 17.9633425 1982-1999 –> 2000-2009 8.0675851 20689.76602
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2140 4.3435829 12373.091000 18.1460689 1982-1999 –> 2000-2009 8.3218557 20926.43924
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2140 4.5070941 12531.250121 16.8344788 1982-1999 –> 2000-2009 8.0461941 20727.82363
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2140 4.3195906 12349.384446 13.5717701 1982-1999 –> 2000-2009 8.1850964 20815.02921
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2140 4.3221480 12351.917578 13.3774609 1982-1999 –> 2000-2009 8.2039083 20830.36079
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2140 4.3381491 12367.733396 13.4826494 1982-1999 –> 2000-2009 8.2309728 20854.85705
Indo-Pacific (26,26.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1932 4.0143112 10867.219888 21.9696794 2000-2009 –> 2010-2019 8.5256766 23402.52413
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1932 3.6420910 10491.222444 20.8529455 2000-2009 –> 2010-2019 7.8069420 22684.47194
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1932 3.6529167 10502.690757 20.9430510 2000-2009 –> 2010-2019 7.8244634 22702.81555
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1932 3.6649500 10515.398499 20.8589812 2000-2009 –> 2010-2019 8.0085329 22888.48950
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1932 3.6718783 10522.696187 20.8468210 2000-2009 –> 2010-2019 8.0477148 22927.45125
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1932 3.9948587 10848.450179 21.6703492 2000-2009 –> 2010-2019 8.3144493 23197.83463
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1932 3.9935119 10847.147322 21.5798292 2000-2009 –> 2010-2019 8.3156599 23199.06490
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate 1932 3.9958611 10847.419627 21.7933287 2000-2009 –> 2010-2019 8.6940367 23554.38245
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1932 3.9949527 10848.541120 21.7413033 2000-2009 –> 2010-2019 8.6856701 23550.70418
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1932 3.9939916 10847.611452 21.5268630 2000-2009 –> 2010-2019 8.3321407 23215.34485
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1907 4.3964132 11073.560872 22.1807811 1982-1999 –> 2000-2009 7.6526864 17404.39912
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1907 4.3134175 11000.871731 19.7327836 1982-1999 –> 2000-2009 7.4081318 17208.05264
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1907 4.2262421 10923.000148 17.2669617 1982-1999 –> 2000-2009 7.4411332 17222.75895
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1907 4.4329880 11105.159243 21.2070279 1982-1999 –> 2000-2009 7.6190576 17383.03488
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1907 4.5113568 11171.996158 21.9247837 1982-1999 –> 2000-2009 7.8170664 17539.44909
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1907 4.5506168 11205.043797 14.6476541 1982-1999 –> 2000-2009 7.9809067 17662.39123
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1907 4.4411063 11112.137530 17.1466081 1982-1999 –> 2000-2009 7.8841920 17578.53259
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1907 4.5194424 11178.825773 21.9357588 1982-1999 –> 2000-2009 7.8400210 17557.18426
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1907 4.4700813 11136.940303 23.4566610 1982-1999 –> 2000-2009 7.8243682 17539.84223
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1907 4.5398664 11196.022976 24.1822569 1982-1999 –> 2000-2009 8.0116413 17682.58191
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1788 3.1983994 9245.762358 19.6031693 2000-2009 –> 2010-2019 7.5948125 20319.32323
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1788 3.0234331 9044.585514 15.9755692 2000-2009 –> 2010-2019 7.2496753 19967.58566
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1788 3.1717048 9215.790973 17.5413553 2000-2009 –> 2010-2019 7.6128111 20327.92850
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1788 3.2164329 9265.868320 18.0082162 2000-2009 –> 2010-2019 7.7639673 20468.32775
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1788 3.1513395 9192.755729 18.5764950 2000-2009 –> 2010-2019 7.7751464 20458.65411
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1788 3.2212411 9271.209993 17.9917661 2000-2009 –> 2010-2019 7.7756969 20479.47005
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1788 3.2850676 9341.372894 20.2319469 2000-2009 –> 2010-2019 7.7551488 20478.31320
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1788 3.3286702 9388.524810 20.6847218 2000-2009 –> 2010-2019 7.8685366 20584.54779
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1788 2.9841422 8997.809050 17.6374803 2000-2009 –> 2010-2019 7.5437976 20210.42092
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1788 3.3322430 9392.361052 20.6885733 2000-2009 –> 2010-2019 7.8837100 20598.11735
Indo-Pacific (26.75,27] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2861 3.9172204 15943.883876 14.4947878 1982-1999 –> 2000-2009 6.9448118 25077.29226
Indo-Pacific (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2861 3.9128245 15939.459133 14.4028520 1982-1999 –> 2000-2009 6.8819828 25004.51258
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2861 3.7621437 15714.752932 16.2549700 1982-1999 –> 2000-2009 6.6261609 24649.65417
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2861 3.7117385 15637.571342 13.5830674 1982-1999 –> 2000-2009 6.6551111 24671.13693
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2861 3.8026290 15775.999679 14.7400015 1982-1999 –> 2000-2009 6.9137102 25009.61073
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2861 3.8057482 15780.691478 14.7076553 1982-1999 –> 2000-2009 6.9304968 25030.12684
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 2861 3.8189064 15798.440789 14.1423806 1982-1999 –> 2000-2009 7.0308304 25145.21013
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2861 3.8161980 15796.381381 13.9784932 1982-1999 –> 2000-2009 7.0264397 25143.25930
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2861 3.9147755 15942.311507 14.9696270 1982-1999 –> 2000-2009 6.9332076 25066.78210
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2861 3.9444009 15985.450216 16.7734682 1982-1999 –> 2000-2009 7.0377716 25198.45166
Indo-Pacific (26.75,27] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2267 3.8095407 12504.218555 13.5902815 2000-2009 –> 2010-2019 7.7267611 28448.10243
Indo-Pacific (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2267 3.5821384 12227.279888 12.7836849 2000-2009 –> 2010-2019 7.4949629 28166.73902
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2267 3.6640147 12329.700887 14.2498065 2000-2009 –> 2010-2019 7.4261584 28044.45382
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2267 3.5568366 12195.155322 12.2576424 2000-2009 –> 2010-2019 7.7488796 28529.02451
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2267 3.8135377 12516.486054 14.2848980 2000-2009 –> 2010-2019 7.5252762 28154.05740
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2267 3.8818301 12591.411424 14.3709517 2000-2009 –> 2010-2019 7.6844590 28367.41110
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2267 3.8614215 12567.521737 14.3444599 2000-2009 –> 2010-2019 7.6671697 28348.21321
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2267 3.6325097 12290.564002 14.0693671 2000-2009 –> 2010-2019 7.5472852 28232.87551
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2267 3.6605854 12330.890327 13.7104753 2000-2009 –> 2010-2019 7.6049863 28316.34054
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2267 3.6937394 12366.318891 14.0296546 2000-2009 –> 2010-2019 7.7491331 28510.55854
Indo-Pacific (27,27.25] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3710 3.2264502 19232.182168 10.1381957 1982-1999 –> 2000-2009 5.7083438 29231.13210
Indo-Pacific (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3710 3.0493469 18815.285407 9.6613802 1982-1999 –> 2000-2009 5.4937635 28750.96155
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3710 3.1455747 19045.818758 9.8881879 1982-1999 –> 2000-2009 5.5815741 28966.69702
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 3710 3.2378490 19260.350422 10.4943300 1982-1999 –> 2000-2009 5.6438987 29128.15780
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3710 3.3461856 19504.556245 11.4221962 1982-1999 –> 2000-2009 5.8304734 29509.64256
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3710 3.3545843 19523.156524 11.4541169 1982-1999 –> 2000-2009 5.8553349 29556.57794
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + nitrate + phosphate 3710 3.2930111 19383.697618 10.3992334 1982-1999 –> 2000-2009 5.7554645 29348.91243
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3710 3.2246429 19230.024805 10.4742323 1982-1999 –> 2000-2009 5.6766463 29178.99521
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3710 3.1795160 19125.452987 10.3415987 1982-1999 –> 2000-2009 5.6274001 29067.21032
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3710 3.3103902 19424.754097 10.9031059 1982-1999 –> 2000-2009 5.8374016 29502.99066
Indo-Pacific (27,27.25] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3289 4.6262266 19421.573569 20.1115374 2000-2009 –> 2010-2019 7.8526768 38653.75574
Indo-Pacific (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3289 4.4199106 19123.471494 17.2929892 2000-2009 –> 2010-2019 7.4692574 37938.75690
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3289 4.4801041 19212.450872 21.8200567 2000-2009 –> 2010-2019 7.6256788 38258.26963
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 3289 4.5165758 19265.784350 22.2689788 2000-2009 –> 2010-2019 7.7544248 38526.13477
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3289 4.0620674 18568.108077 19.8504699 2000-2009 –> 2010-2019 7.7306061 38755.09906
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3289 4.5251549 19278.267325 22.3261346 2000-2009 –> 2010-2019 7.8797392 38801.42385
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3289 4.1402456 18693.504714 18.5080805 2000-2009 –> 2010-2019 7.3648885 37923.52952
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3289 4.5772822 19353.609090 17.5135872 2000-2009 –> 2010-2019 7.7567982 38479.06208
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 3289 4.1511820 18708.857619 18.4368540 2000-2009 –> 2010-2019 7.8909729 39036.58189
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3289 3.7204199 17990.194401 16.0235554 2000-2009 –> 2010-2019 7.2242503 37836.33549
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4723 3.1472975 24245.549506 12.7971055 1982-1999 –> 2000-2009 5.2338284 35926.00389
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4723 3.0403422 23920.962762 10.9240181 1982-1999 –> 2000-2009 5.0961258 35523.01259
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4723 3.1176462 24158.135017 12.2210141 1982-1999 –> 2000-2009 5.2035572 35838.97997
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4723 3.0694002 24010.813825 9.5273998 1982-1999 –> 2000-2009 5.4022359 36297.59492
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4723 2.9688129 23696.073359 11.0074317 1982-1999 –> 2000-2009 5.2076293 35760.05511
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4723 3.0922603 24080.904496 10.2493784 1982-1999 –> 2000-2009 5.3547979 36201.96944
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4723 2.7287433 22899.577214 9.6595329 1982-1999 –> 2000-2009 4.7058288 34290.22279
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4723 3.1867515 24365.226871 11.3039234 1982-1999 –> 2000-2009 5.3647053 36279.93560
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4723 2.9712777 23701.912485 10.8876563 1982-1999 –> 2000-2009 5.2339631 35821.33109
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4723 2.7707049 23043.728643 9.6043714 1982-1999 –> 2000-2009 4.9423566 34942.74297
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4368 3.7845495 24036.824144 17.3333745 2000-2009 –> 2010-2019 6.8248918 47957.78691
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4368 3.5590327 23500.101225 13.2428414 2000-2009 –> 2010-2019 6.6284329 47510.91505
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4368 3.2335121 22662.144832 11.7854301 2000-2009 –> 2010-2019 6.4965054 47250.70260
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4368 3.3167994 22884.313559 15.1119374 2000-2009 –> 2010-2019 6.8052638 48104.02160
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4368 3.4009681 23103.236198 13.2049563 2000-2009 –> 2010-2019 6.6046059 47518.38443
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4368 3.2689247 22757.299252 14.6826416 2000-2009 –> 2010-2019 6.7439132 47940.44665
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4368 3.2907765 22815.502366 15.0448476 2000-2009 –> 2010-2019 6.8201812 48145.42242
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4368 3.1983178 22566.538815 15.7597511 2000-2009 –> 2010-2019 6.9017129 48351.00779
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4368 3.2726452 22767.236369 14.8286143 2000-2009 –> 2010-2019 6.7811356 48041.01524
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4368 3.2622072 22739.328511 14.3843788 2000-2009 –> 2010-2019 6.0329121 45783.05715
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5652 3.1825663 29140.184926 9.8980753 1982-1999 –> 2000-2009 5.1996815 42140.78176
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5652 2.9103964 28129.623409 9.2295589 1982-1999 –> 2000-2009 4.8731636 40962.95482
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5652 2.9165840 28153.630326 9.4572980 1982-1999 –> 2000-2009 4.9471957 41195.06640
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 5652 2.9110502 28132.162520 9.4452271 1982-1999 –> 2000-2009 4.9499242 41198.46542
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 5652 3.0338245 28597.132184 13.9982016 1982-1999 –> 2000-2009 5.0867953 41703.63097
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5652 3.0181919 28540.734643 19.1407962 1982-1999 –> 2000-2009 5.1344754 41835.24124
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 5652 2.9979523 28464.675993 9.5171895 1982-1999 –> 2000-2009 5.2187162 42054.29666
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5652 2.9622712 28329.331037 10.6633756 1982-1999 –> 2000-2009 5.0129371 41430.95045
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 5652 3.1528062 29033.984421 26.5711843 1982-1999 –> 2000-2009 5.2203833 42185.89923
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5652 2.8663266 27957.146644 24.9178880 1982-1999 –> 2000-2009 4.9029830 41016.78536
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4860 3.2606307 25294.351323 11.5635098 2000-2009 –> 2010-2019 6.1772147 53447.98165
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4860 2.6257985 23189.625178 13.0042990 2000-2009 –> 2010-2019 5.6512071 51757.35614
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 4860 2.6570208 23304.519827 14.6256682 2000-2009 –> 2010-2019 5.8687844 52547.93663
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + silicate 4860 2.6732581 23361.738900 15.2584478 2000-2009 –> 2010-2019 5.8960627 52641.94847
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4860 2.6172499 23157.928707 12.5120436 2000-2009 –> 2010-2019 5.6152021 51622.60470
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4860 2.6178554 23160.177429 12.5711647 2000-2009 –> 2010-2019 5.6313174 51683.18336
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4860 2.7107047 23498.950540 8.2454565 2000-2009 –> 2010-2019 5.7254255 52026.67731
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate 4860 2.8062588 23833.686009 8.5870530 2000-2009 –> 2010-2019 5.8450927 52449.46766
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4860 2.6164184 23154.840191 12.4566518 2000-2009 –> 2010-2019 5.6219578 51648.08812
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4860 3.3662154 25604.112326 14.4834017 2000-2009 –> 2010-2019 6.2325419 53561.25897
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2200 2.4195854 10143.152896 9.0483206 1982-1999 –> 2000-2009 3.8744003 14711.44848
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2200 2.4178792 10142.049090 8.8306720 1982-1999 –> 2000-2009 3.8561906 14683.36614
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2200 2.2805231 9884.710922 8.2886047 1982-1999 –> 2000-2009 3.6657422 14330.49485
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2200 2.3061575 9933.893449 8.6243669 1982-1999 –> 2000-2009 3.7410840 14469.22595
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2200 2.3138702 9948.584258 8.6965226 1982-1999 –> 2000-2009 3.7740742 14528.27159
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2200 2.1949560 9716.442286 10.4214802 1982-1999 –> 2000-2009 3.4822528 13976.00934
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2200 2.3194630 9959.206584 8.7663173 1982-1999 –> 2000-2009 3.7938657 14563.47306
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2200 2.2620542 9848.932269 12.0172199 1982-1999 –> 2000-2009 3.4012273 13798.00480
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2200 2.3189494 9956.232205 11.8352213 1982-1999 –> 2000-2009 3.6065197 14214.33882
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2200 2.3143046 9949.410198 11.6909072 1982-1999 –> 2000-2009 3.5975529 14200.97650
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1919 2.8157007 9433.026407 10.3322542 2000-2009 –> 2010-2019 5.0962238 19317.73733
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1919 2.5018255 8979.411438 10.5185792 2000-2009 –> 2010-2019 4.8302028 18955.49591
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1919 2.8365637 9461.359341 9.9177022 2000-2009 –> 2010-2019 5.1427211 19395.25279
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1919 2.8464872 9474.762921 9.7134205 2000-2009 –> 2010-2019 5.1603574 19423.34718
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1919 2.7906176 9398.683269 11.2303409 2000-2009 –> 2010-2019 5.1719930 19473.79693
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1919 2.8183936 9436.695308 17.5273535 2000-2009 –> 2010-2019 5.0133496 19153.13759
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1919 2.5158120 9000.808062 9.9660519 2000-2009 –> 2010-2019 4.8635856 19013.39443
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1919 2.5202431 9007.561974 9.7958752 2000-2009 –> 2010-2019 4.8752656 19033.71280
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1919 2.8518373 9481.969854 9.6262169 2000-2009 –> 2010-2019 5.1713003 19441.17644
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1919 2.5229163 9011.630795 9.7084621 2000-2009 –> 2010-2019 4.8803662 19042.31448
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2628 1.9679106 11030.107586 6.9896634 1982-1999 –> 2000-2009 3.5036057 16133.28385
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ sal + temp + aou + nitrate 2628 1.9983204 11108.706679 7.1967445 1982-1999 –> 2000-2009 3.6464026 16404.39566
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2628 1.9958604 11104.232269 7.3529297 1982-1999 –> 2000-2009 3.5746210 16283.57595
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2628 1.9968602 11106.864617 7.3287790 1982-1999 –> 2000-2009 3.5855210 16303.42430
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2628 1.9693862 11034.047413 8.0404805 1982-1999 –> 2000-2009 3.5960146 16295.65098
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2628 1.9015317 10849.760492 8.6525819 1982-1999 –> 2000-2009 3.2732335 15641.92485
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2628 2.0066584 11132.591647 7.4654486 1982-1999 –> 2000-2009 3.6115182 16357.09074
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2628 1.8797016 10789.070946 9.8070025 1982-1999 –> 2000-2009 3.1777181 15429.17372
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2628 1.9399668 10952.938997 9.5635078 1982-1999 –> 2000-2009 3.3160397 15751.86534
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2628 1.9089746 10870.293216 9.1395530 1982-1999 –> 2000-2009 3.2587329 15618.04473
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2345 2.7122119 11348.337208 14.5138688 2000-2009 –> 2010-2019 4.6801224 22378.44479
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 2345 2.7134036 11348.397443 14.8775353 2000-2009 –> 2010-2019 4.8658692 22847.66147
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2345 2.7217829 11364.858366 15.2270936 2000-2009 –> 2010-2019 4.8158194 22721.47493
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2345 2.6883428 11306.879668 15.2138380 2000-2009 –> 2010-2019 4.7488413 22578.63514
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ sal + temp + aou + nitrate 2345 2.7428291 11398.984319 11.9615508 2000-2009 –> 2010-2019 4.7411495 22507.69100
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2345 2.7149271 11353.030020 14.6215644 2000-2009 –> 2010-2019 4.7107874 22457.26229
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2345 2.7129795 11349.664384 14.6721974 2000-2009 –> 2010-2019 4.7098397 22456.52900
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2345 2.6850320 11301.100218 11.8834488 2000-2009 –> 2010-2019 4.6544182 22335.14763
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2345 2.7193969 11360.745197 14.7544507 2000-2009 –> 2010-2019 4.7260553 22493.33684
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2345 2.8146176 11522.157640 14.2602429 2000-2009 –> 2010-2019 4.6943192 22311.22859
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2918 1.6912785 11361.654264 8.9619075 1982-1999 –> 2000-2009 3.4260542 18073.03096
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ sal + temp + aou + nitrate 2918 1.6993817 11387.548690 8.7993916 1982-1999 –> 2000-2009 3.4717165 18169.75214
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2918 1.6980639 11385.021406 9.0021398 1982-1999 –> 2000-2009 3.4521589 18134.05278
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2918 1.6983084 11385.861849 8.9835131 1982-1999 –> 2000-2009 3.4548598 18139.65108
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2918 1.6631032 11263.612580 8.8182407 1982-1999 –> 2000-2009 3.3840560 17947.78900
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2918 1.7070955 11415.979337 10.2194785 1982-1999 –> 2000-2009 3.3855056 18015.05011
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2918 1.7014919 11396.791138 9.0006823 1982-1999 –> 2000-2009 3.4659648 18165.87900
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2918 1.7260762 11480.510098 11.4581605 1982-1999 –> 2000-2009 3.4005818 18071.66227
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2918 1.7277226 11484.074069 11.4795795 1982-1999 –> 2000-2009 3.4084709 18085.87820
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2918 1.6381933 11175.539950 9.6305648 1982-1999 –> 2000-2009 3.1813329 17488.91571
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3148 1.5260597 11608.887494 10.5059765 2000-2009 –> 2010-2019 3.2173382 22970.54176
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3148 1.4714317 11379.378179 9.5780200 2000-2009 –> 2010-2019 3.2248879 22951.73575
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ sal + temp + aou + nitrate 3148 1.5262886 11607.831747 10.9819324 2000-2009 –> 2010-2019 3.2256703 22995.38044
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 3148 1.5170142 11571.457600 10.4502664 2000-2009 –> 2010-2019 3.2150781 22956.47901
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3148 1.5183530 11577.011664 10.5053206 2000-2009 –> 2010-2019 3.2166615 22962.87351
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 3148 1.4377505 11233.586883 9.8466889 2000-2009 –> 2010-2019 3.1008537 22497.19946
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3148 1.5403869 11667.720702 10.1002219 2000-2009 –> 2010-2019 3.2474824 23083.70004
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 3148 1.4716705 11380.399586 9.5390125 2000-2009 –> 2010-2019 3.2454564 23020.03114
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3148 1.5147700 11562.136889 10.4644530 2000-2009 –> 2010-2019 3.2162620 22958.92803
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3148 1.5941545 11883.735586 10.3246913 2000-2009 –> 2010-2019 3.2323478 23059.27554
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1642 1.5719412 6159.184327 7.1081093 1982-1999 –> 2000-2009 3.1353019 10154.75112
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1642 1.5777348 6169.265879 7.0240945 1982-1999 –> 2000-2009 3.1423492 10164.54320
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1642 1.5581124 6130.166312 7.0145523 1982-1999 –> 2000-2009 3.1011379 10097.79321
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1642 1.5728107 6161.000385 7.0282181 1982-1999 –> 2000-2009 3.1266067 10143.47107
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1642 1.5769953 6169.726267 7.0660555 1982-1999 –> 2000-2009 3.1352743 10158.34505
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1642 1.5771329 6170.012730 7.0503737 1982-1999 –> 2000-2009 3.1240409 10143.00228
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1642 1.5771001 6169.944339 7.0640396 1982-1999 –> 2000-2009 3.1344740 10157.32338
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1642 1.5774940 6168.764586 7.0426149 1982-1999 –> 2000-2009 3.1589266 10186.85809
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1642 1.5955807 6208.202922 7.1183867 1982-1999 –> 2000-2009 3.1749353 10225.49055
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1642 1.4497738 5893.496442 7.1264250 1982-1999 –> 2000-2009 2.8737959 9689.84897
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1799 1.4954226 6567.207918 7.8875747 2000-2009 –> 2010-2019 3.0673638 12726.39224
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1799 1.4956731 6565.810455 7.8899099 2000-2009 –> 2010-2019 3.0734079 12735.07633
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1799 1.3068998 6082.373571 6.6993870 2000-2009 –> 2010-2019 2.8650122 12212.53988
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1799 1.3177498 6112.120962 6.4893078 2000-2009 –> 2010-2019 2.9667025 12428.37606
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1799 1.3069266 6082.447358 6.6873236 2000-2009 –> 2010-2019 2.8797373 12243.44774
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1799 1.3069792 6082.592171 6.6826474 2000-2009 –> 2010-2019 2.8839746 12252.31844
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1799 1.3071988 6083.196580 6.7069823 2000-2009 –> 2010-2019 2.8843317 12253.20931
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1799 1.3069632 6082.547930 6.6835097 2000-2009 –> 2010-2019 2.8840632 12252.49227
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1799 1.3237771 6126.540712 7.3000093 2000-2009 –> 2010-2019 2.9012712 12295.30530
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1799 1.3849403 6291.054830 6.8391738 2000-2009 –> 2010-2019 2.8347141 12184.55127
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ aou + nitrate + silicate + phosphate 19077 1.4742839 68960.509250 7.7290890 1982-1999 –> 2000-2009 2.8336159 110498.43221
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 19077 1.4673168 68781.777146 7.7847613 1982-1999 –> 2000-2009 2.7659481 109222.57658
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 19077 1.3607566 65905.171996 6.6602134 1982-1999 –> 2000-2009 2.5971623 105164.57013
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 19077 1.3799626 66439.921165 6.9379940 1982-1999 –> 2000-2009 2.7239495 107706.69283
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 19077 1.5229608 70201.902111 8.6576732 1982-1999 –> 2000-2009 2.8372375 110930.83615
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19077 1.5232047 70208.013249 8.6600432 1982-1999 –> 2000-2009 2.8364841 110918.68165
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19077 1.5231891 70207.622864 8.6603162 1982-1999 –> 2000-2009 2.8365137 110919.11899
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 19077 1.4696196 68841.606815 7.7899186 1982-1999 –> 2000-2009 2.7735575 109380.52450
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 19077 1.4846262 69229.231531 7.8885521 1982-1999 –> 2000-2009 2.8015459 110006.50124
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 19077 1.4713268 68885.903253 7.7801027 1982-1999 –> 2000-2009 2.7804013 109519.41296
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ aou + nitrate + silicate + phosphate 19505 1.4075670 68700.854742 9.8671496 2000-2009 –> 2010-2019 2.8818509 137661.36399
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 19505 1.4020505 68549.668314 10.0753048 2000-2009 –> 2010-2019 2.8693674 137331.44546
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 19505 1.4111982 68801.363733 9.6610597 2000-2009 –> 2010-2019 2.8917523 137923.79835
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 19505 1.2746677 64833.952896 7.9553093 2000-2009 –> 2010-2019 2.6354243 130739.12489
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + nitrate + silicate + phosphate 19505 1.3507758 67094.285031 7.3489055 2000-2009 –> 2010-2019 2.8345035 136298.41577
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 19505 1.2876306 65228.667385 7.6306703 2000-2009 –> 2010-2019 2.6675932 131668.58855
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 19505 1.3425830 66858.956750 7.0512062 2000-2009 –> 2010-2019 2.8071297 135568.63524
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 19505 1.4040420 68605.040376 10.0458278 2000-2009 –> 2010-2019 2.8736616 137446.64719
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 19505 1.4202989 69054.127097 10.1604997 2000-2009 –> 2010-2019 2.9049251 138283.35863
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 19505 1.4052286 68637.993821 10.0153330 2000-2009 –> 2010-2019 2.8765554 137523.89707

5.4.2 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 –> 2000-2009 2.2656000 271.74157
Atlantic (-Inf,26] 2000-2009 –> 2010-2019 0.7476676 67.76988
Atlantic (26,26.5] 1982-1999 –> 2000-2009 7.5554914 2908.65884
Atlantic (26,26.5] 2000-2009 –> 2010-2019 7.9255444 2663.62040
Atlantic (26.5,26.75] 1982-1999 –> 2000-2009 5.8044818 3199.11487
Atlantic (26.5,26.75] 2000-2009 –> 2010-2019 7.1834492 3639.32135
Atlantic (26.75,27] 1982-1999 –> 2000-2009 4.1988089 5154.43507
Atlantic (26.75,27] 2000-2009 –> 2010-2019 5.1160112 5501.79710
Atlantic (27,27.25] 1982-1999 –> 2000-2009 3.5778772 5848.92833
Atlantic (27,27.25] 2000-2009 –> 2010-2019 4.1565652 6595.95244
Atlantic (27.25,27.5] 1982-1999 –> 2000-2009 4.9350924 10925.61964
Atlantic (27.25,27.5] 2000-2009 –> 2010-2019 6.6216668 13735.40505
Atlantic (27.5,27.75] 1982-1999 –> 2000-2009 3.9662160 20246.62738
Atlantic (27.5,27.75] 2000-2009 –> 2010-2019 4.6915790 21201.87804
Atlantic (27.75,27.85] 1982-1999 –> 2000-2009 1.8454830 4985.59653
Atlantic (27.75,27.85] 2000-2009 –> 2010-2019 2.4072534 6085.57103
Atlantic (27.85,27.95] 1982-1999 –> 2000-2009 2.0521777 5382.22624
Atlantic (27.85,27.95] 2000-2009 –> 2010-2019 2.8999969 6316.97525
Atlantic (27.95,28.05] 1982-1999 –> 2000-2009 4.4694913 9997.74167
Atlantic (27.95,28.05] 2000-2009 –> 2010-2019 5.0726538 10132.14952
Atlantic (28.05,28.1] 1982-1999 –> 2000-2009 1.7134304 3192.01473
Atlantic (28.05,28.1] 2000-2009 –> 2010-2019 2.2816750 3986.14394
Atlantic (28.1,28.15] 1982-1999 –> 2000-2009 1.8223821 4510.43862
Atlantic (28.1,28.15] 2000-2009 –> 2010-2019 2.2448930 5653.83603
Atlantic (28.15,28.2] 1982-1999 –> 2000-2009 1.6233618 7424.73304
Atlantic (28.15,28.2] 2000-2009 –> 2010-2019 1.7380451 8595.91329
Atlantic (28.2, Inf] 1982-1999 –> 2000-2009 1.2451098 9225.72641
Atlantic (28.2, Inf] 2000-2009 –> 2010-2019 1.3380720 13224.71092
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2009 11.0570491 18750.30085
Indo-Pacific (-Inf,26] 2000-2009 –> 2010-2019 10.7294343 29115.69406
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2009 8.0575274 20708.30500
Indo-Pacific (26,26.5] 2000-2009 –> 2010-2019 8.2555286 23132.30834
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2009 7.7479205 17477.82269
Indo-Pacific (26.5,26.75] 2000-2009 –> 2010-2019 7.6823302 20389.26886
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2009 6.8980523 24999.60367
Indo-Pacific (26.75,27] 2000-2009 –> 2010-2019 7.6175071 28311.77761
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2009 5.7010301 29224.12776
Indo-Pacific (27,27.25] 2000-2009 –> 2010-2019 7.6549293 38420.89489
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2009 5.1745028 35688.18484
Indo-Pacific (27.25,27.5] 2000-2009 –> 2010-2019 6.6639555 47660.27598
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2009 5.0546255 41572.40723
Indo-Pacific (27.5,27.75] 2000-2009 –> 2010-2019 5.8264806 52338.65030
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2009 3.6792910 14347.56095
Indo-Pacific (27.75,27.85] 2000-2009 –> 2010-2019 5.0205365 19224.93659
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2009 3.4543407 16021.84301
Indo-Pacific (27.85,27.95] 2000-2009 –> 2010-2019 4.7347222 22508.74117
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2009 3.4030701 18029.16612
Indo-Pacific (27.95,28.05] 2000-2009 –> 2010-2019 3.2142038 22945.61447
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2009 3.1106843 10112.14269
Indo-Pacific (28.05,28.1] 2000-2009 –> 2010-2019 2.9240578 12358.37088
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2009 2.7786416 109426.73472
Indo-Pacific (28.1, Inf] 2000-2009 –> 2010-2019 2.8242763 136044.52751

5.5 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)

5.6 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/

5.7 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)

5.8 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
75dda4d Donghe-Zhu 2021-03-27
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
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
75dda4d Donghe-Zhu 2021-03-27
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
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
75dda4d Donghe-Zhu 2021-03-27
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
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
75dda4d Donghe-Zhu 2021-03-27
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
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 nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26] 7 3 8 8 7 7 9
(26,26.5] 7 6 6 7 10 6 8
(26.5,26.75] 9 4 8 7 5 10 6
(26.75,27] 9 4 8 7 3 10 7
(27,27.25] 8 5 8 6 6 10 6
(27.25,27.5] 6 6 6 8 8 8 8
(27.5,27.75] 7 7 7 6 10 5 7
(27.75,27.85] 7 5 8 7 10 6 7
(27.85,27.95] 9 5 9 8 7 3 8
(27.95,28.05] 7 10 7 8 4 6 7
(28.05,28.1] 9 6 9 9 3 6 7
(28.1,28.15] 8 6 9 7 4 9 7
(28.15,28.2] 9 8 7 7 7 3 8
(28.2, Inf] 9 10 5 5 10 4 4
total 111.00 85.00 105.00 100.00 94.00 93.00 99.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26] 6 4 5 5 9 10 9
(26,26.5] 7 6 6 8 9 6 8
(26.5,26.75] 9 7 9 7 6 5 7
(26.75,27] 9 5 8 7 4 10 6
(27,27.25] 9 8 6 5 5 10 6
(27.25,27.5] 5 7 4 7 9 9 7
(27.5,27.75] 7 5 8 6 10 7 6
(27.75,27.85] 7 5 9 6 10 6 6
(27.85,27.95] 8 4 8 8 8 6 8
(27.95,28.05] 5 10 8 5 5 9 6
(28.05,28.1] 9 6 9 9 3 6 7
(28.1,28.15] 7 7 9 7 3 8 8
(28.15,28.2] 10 8 8 7 4 5 7
(28.2, Inf] 9 10 5 5 10 4 4
total 107.00 92.00 102.00 92.00 95.00 101.00 95.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26] 8 4 8 8 10 4 7
(26,26.5] 8 7 7 7 7 6 8
(26.5,26.75] 9 7 8 7 7 5 7
(26.75,27] 7 10 7 8 6 3 7
(27,27.25] 9 10 8 7 4 3 7
(27.25,27.5] 9 7 9 8 4 5 6
(27.5,27.75] 7 7 7 8 8 7 5
(27.75,27.85] 9 7 9 9 5 2 7
(27.85,27.95] 9 7 7 7 7 2 9
(27.95,28.05] 9 7 7 7 7 2 9
(28.05,28.1] 7 3 7 8 6 10 7
(28.1, Inf] 7 7 8 6 5 10 6
total 98.00 83.00 92.00 90.00 76.00 59.00 85.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26] 9 6 7 6 10 3 7
(26,26.5] 8 4 8 7 4 10 8
(26.5,26.75] 7 5 7 8 5 10 8
(26.75,27] 8 9 9 8 5 4 6
(27,27.25] 9 7 10 8 4 3 7
(27.25,27.5] 7 5 8 7 8 10 5
(27.5,27.75] 7 3 6 5 9 10 8
(27.75,27.85] 8 5 7 7 10 5 8
(27.85,27.95] 9 10 5 6 9 3 6
(27.95,28.05] 9 6 7 6 9 4 8
(28.05,28.1] 7 3 6 8 7 10 7
(28.1, Inf] 5 10 9 5 4 10 4
total 93.00 73.00 89.00 81.00 84.00 82.00 82.00

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
75dda4d Donghe-Zhu 2021-03-27
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
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
75dda4d Donghe-Zhu 2021-03-27
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
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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] car_3.0-10       carData_3.0-4    gt_0.2.2         corrr_0.4.3     
 [5] broom_0.7.5      kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3     
 [9] GGally_2.0.0     lubridate_1.7.9  metR_0.9.0       scico_1.2.0     
[13] patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0    stringr_1.4.0   
[17] dplyr_1.0.5      purrr_0.3.4      readr_1.4.0      tidyr_1.1.2     
[21] tibble_3.0.4     ggplot2_3.3.3    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                magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_1.0.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               plyr_1.8.6              
[52] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[55] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[58] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[61] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[64] RcppArmadillo_0.10.1.2.2 data.table_1.13.6        modelr_0.1.8            
[67] vctrs_0.3.6              httpuv_1.5.4             cellranger_1.1.0        
[70] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[73] xfun_0.20                openxlsx_4.2.3           RcppEigen_0.3.3.9.1     
[76] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[79] here_1.0.1