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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 25 0.3609726 33.99927 0.8535633 1982-1999 –> 2000-2009 1.7272727 221.10376
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 25 0.5502717 55.07977 1.9594924 1982-1999 –> 2000-2009 1.5644340 212.37992
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 25 0.3580334 33.59048 0.8563271 1982-1999 –> 2000-2009 1.6578070 215.70334
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 25 0.3574094 33.50325 0.8567030 1982-1999 –> 2000-2009 1.6473408 214.85602
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 25 0.2574084 17.09236 0.6676254 1982-1999 –> 2000-2009 1.6625461 206.99974
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 25 0.3100228 26.39146 0.8527755 1982-1999 –> 2000-2009 1.6037692 208.03953
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 25 0.3572755 33.48452 0.8572643 1982-1999 –> 2000-2009 1.6409077 214.34775
Atlantic (-Inf,26] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 25 0.5421352 54.33494 1.8949271 1982-1999 –> 2000-2009 1.6264684 218.32531
Atlantic (-Inf,26] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 25 0.5513627 53.17881 1.9369069 1982-1999 –> 2000-2009 1.6549180 216.92637
Atlantic (-Inf,26] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 25 0.3955952 38.57873 0.9967918 1982-1999 –> 2000-2009 1.4925979 203.73075
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 43 0.4336752 64.17920 1.0321724 2000-2009 –> 2010-2019 0.7946478 98.17847
Atlantic (-Inf,26] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 43 0.4417299 65.76183 1.3785401 2000-2009 –> 2010-2019 0.8308012 103.50913
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 43 0.3785383 52.48504 1.1080936 2000-2009 –> 2010-2019 0.7821799 92.07057
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 43 0.4215699 61.74453 1.0271639 2000-2009 –> 2010-2019 0.7796033 95.33501
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 43 0.4204971 61.52540 1.0292065 2000-2009 –> 2010-2019 0.7779065 95.02865
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + nitrate + silicate 43 0.3824572 51.37079 1.1646531 2000-2009 –> 2010-2019 0.7879094 89.18011
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 43 0.3800958 52.83816 1.1625510 2000-2009 –> 2010-2019 0.6375042 69.93052
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 43 0.3697038 50.45415 1.0774551 2000-2009 –> 2010-2019 0.6797266 76.84561
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 43 0.4169442 60.79566 1.0264207 2000-2009 –> 2010-2019 0.7742197 94.28018
Atlantic (-Inf,26] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 43 0.3316529 41.11340 0.8792412 2000-2009 –> 2010-2019 0.7272481 79.69213
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 209 3.6841750 1152.20780 8.6212776 1982-1999 –> 2000-2009 6.4967448 3010.89169
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 209 3.7672624 1161.53001 9.9748905 1982-1999 –> 2000-2009 6.7114727 3054.61194
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + aou + nitrate 209 3.7869295 1161.70652 9.0251508 1982-1999 –> 2000-2009 6.9258063 3100.93480
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 209 3.7855956 1163.55925 9.1454046 1982-1999 –> 2000-2009 6.6966504 3048.12469
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 209 3.7842071 1163.40592 9.1944520 1982-1999 –> 2000-2009 6.7034890 3050.09360
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 209 3.7865939 1163.66947 9.1402440 1982-1999 –> 2000-2009 6.7231358 3054.79021
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 209 3.8622844 1171.94249 10.5452600 1982-1999 –> 2000-2009 6.8961545 3087.58325
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 209 3.8717707 1172.96790 10.5977206 1982-1999 –> 2000-2009 6.9224547 3092.76479
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 209 3.8168961 1167.00120 9.1800657 1982-1999 –> 2000-2009 6.7654534 3061.19261
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 209 3.8803536 1173.89349 10.5660924 1982-1999 –> 2000-2009 6.9376320 3095.31417
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 346 3.8352007 1926.10693 13.0412966 2000-2009 –> 2010-2019 7.5193758 3078.31473
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 346 4.0507362 1963.94333 11.8788594 2000-2009 –> 2010-2019 7.8179986 3125.47334
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + aou + nitrate 346 3.9730219 1948.53814 15.2640973 2000-2009 –> 2010-2019 7.7599513 3110.24465
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 346 3.8498889 1928.75211 12.6785757 2000-2009 –> 2010-2019 7.6354845 3092.31137
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 346 3.8514889 1929.03965 12.6749229 2000-2009 –> 2010-2019 7.6356961 3092.44557
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 346 3.7424010 1909.15681 13.6047406 2000-2009 –> 2010-2019 7.5289948 3072.82628
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 346 4.0554507 1964.74825 11.5675791 2000-2009 –> 2010-2019 7.9177351 3136.69074
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 346 4.0574210 1965.08437 11.5432196 2000-2009 –> 2010-2019 7.9291917 3138.05227
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 346 3.8569635 1930.02258 12.6165984 2000-2009 –> 2010-2019 7.6738596 3097.02378
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 346 4.0578947 1965.16516 11.5388049 2000-2009 –> 2010-2019 7.9382483 3139.05865
Atlantic (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 290 3.1272644 1498.27635 9.9891540 1982-1999 –> 2000-2009 5.4523674 3403.89598
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 290 2.9837561 1471.03045 10.1780306 1982-1999 –> 2000-2009 5.4482826 3425.33481
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 290 3.1198671 1494.90278 11.1648788 1982-1999 –> 2000-2009 5.5912594 3449.53289
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 290 3.1141043 1495.83046 11.2469176 1982-1999 –> 2000-2009 5.4244767 3396.13676
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 290 3.1161283 1496.20730 11.2778945 1982-1999 –> 2000-2009 5.4653486 3410.45371
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 290 3.1244429 1497.75282 11.4662194 1982-1999 –> 2000-2009 5.5028666 3422.32758
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 290 3.1262710 1498.09209 11.4995144 1982-1999 –> 2000-2009 5.5147550 3426.19551
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 290 3.1938872 1510.50281 10.3234023 1982-1999 –> 2000-2009 5.5899477 3441.25390
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 290 3.2123666 1513.84895 10.3864084 1982-1999 –> 2000-2009 5.6447637 3457.18292
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 290 3.1892020 1509.65137 8.8569394 1982-1999 –> 2000-2009 5.3906827 3369.59681
Atlantic (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 396 3.6501124 2163.24762 9.2436427 2000-2009 –> 2010-2019 6.7773767 3661.52397
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 396 3.8025464 2195.65070 10.6364331 2000-2009 –> 2010-2019 6.7908221 3667.55905
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 396 3.7894129 2192.91051 9.9650387 2000-2009 –> 2010-2019 6.7731689 3663.94095
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 396 3.8686508 2209.30072 11.0359778 2000-2009 –> 2010-2019 6.8602645 3681.85657
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 396 3.8748877 2210.57654 11.0616767 2000-2009 –> 2010-2019 6.8701555 3683.84039
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 396 3.9115351 2218.03180 11.3272403 2000-2009 –> 2010-2019 6.9121170 3692.32376
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 396 3.6455644 2162.26018 9.1661503 2000-2009 –> 2010-2019 6.6864472 3644.29029
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 396 3.6986175 2173.70293 9.3274778 2000-2009 –> 2010-2019 6.8925047 3684.20574
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 396 3.7134391 2176.87039 9.3289907 2000-2009 –> 2010-2019 6.9258057 3690.71934
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 396 3.6183262 2156.32047 10.7958349 2000-2009 –> 2010-2019 6.8075282 3665.97184
Atlantic (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 419 2.3728514 1927.17989 5.9243598 1982-1999 –> 2000-2009 3.9513748 5009.38069
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 419 2.5692605 1991.82247 10.2057846 1982-1999 –> 2000-2009 4.2007167 5125.98371
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 419 2.4477232 1953.21313 8.9951925 1982-1999 –> 2000-2009 4.0644968 5074.58424
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 419 2.4868464 1966.50140 8.8331238 1982-1999 –> 2000-2009 4.1873722 5170.49857
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 419 2.5253215 1979.36720 8.9029584 1982-1999 –> 2000-2009 4.2743247 5229.34988
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 419 2.5369759 1983.22569 8.9044300 1982-1999 –> 2000-2009 4.3035134 5249.52814
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 419 2.4727419 1961.73505 6.0522036 1982-1999 –> 2000-2009 4.1626798 5155.51419
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 419 2.5003531 1971.04047 6.0964474 1982-1999 –> 2000-2009 4.2360903 5208.56704
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 419 2.2295145 1874.96535 8.3486430 1982-1999 –> 2000-2009 3.7239229 4867.57981
Atlantic (26.75,27] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 419 2.5406661 1984.44374 6.1147345 1982-1999 –> 2000-2009 4.3084934 5251.94019
Atlantic (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 725 2.2439632 3243.41411 8.0439779 2000-2009 –> 2010-2019 4.6168147 5170.59399
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 725 2.4336699 3361.09138 9.4833908 2000-2009 –> 2010-2019 4.9513088 5337.90533
Atlantic (26.75,27] 4 cstar_tref ~ sal + aou + silicate + phosphate 725 2.5643892 3434.95533 12.2482852 2000-2009 –> 2010-2019 5.0937510 5413.66220
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 725 2.5338400 3419.57799 12.5213783 2000-2009 –> 2010-2019 4.9815632 5372.79112
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 725 2.5505937 3429.13379 12.4801247 2000-2009 –> 2010-2019 5.0374401 5395.63519
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 725 2.5763214 3443.68662 12.5642066 2000-2009 –> 2010-2019 5.1016430 5423.05383
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 725 2.3159608 3289.20659 7.7665230 2000-2009 –> 2010-2019 4.7887027 5250.94164
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 725 2.3329134 3299.78180 7.7244408 2000-2009 –> 2010-2019 4.8332665 5270.82227
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 725 2.5216701 3412.59690 12.1343020 2000-2009 –> 2010-2019 4.7511845 5287.56225
Atlantic (26.75,27] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 725 2.3744777 3325.38826 7.5400705 2000-2009 –> 2010-2019 4.9151439 5309.83200
Atlantic (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 565 2.1587515 2486.96947 13.5338130 1982-1999 –> 2000-2009 3.5386724 5968.97129
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 565 2.2415147 2529.48213 9.8645978 1982-1999 –> 2000-2009 3.8721212 6344.00009
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 565 2.2193338 2518.24452 10.3139558 1982-1999 –> 2000-2009 3.6689196 6098.35563
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 565 2.1484819 2481.58106 12.3633929 1982-1999 –> 2000-2009 3.8875770 6424.40946
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 565 2.2151068 2516.09023 10.2109098 1982-1999 –> 2000-2009 3.7020408 6146.87459
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 565 2.2143931 2515.72609 10.1101637 1982-1999 –> 2000-2009 3.7480207 6208.10246
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 565 2.2149493 2516.00988 10.0948841 1982-1999 –> 2000-2009 3.7603105 6223.56872
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 565 2.1418013 2478.06191 12.0296264 1982-1999 –> 2000-2009 3.6199860 6097.09044
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 565 2.1419448 2478.13759 11.9652021 1982-1999 –> 2000-2009 3.6399075 6123.64228
Atlantic (27,27.25] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 565 2.1502505 2482.51088 11.0945705 1982-1999 –> 2000-2009 3.7074724 6205.29991
Atlantic (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 968 1.9470069 4051.00875 15.5097388 2000-2009 –> 2010-2019 4.1057583 6537.97822
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 968 1.9913437 4094.60049 8.3628602 2000-2009 –> 2010-2019 4.2328584 6624.08262
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 968 2.1167409 4212.82799 10.1068360 2000-2009 –> 2010-2019 4.3360747 6731.07251
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 968 1.8954511 3999.05346 12.7570973 2000-2009 –> 2010-2019 4.0439330 6480.63452
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 968 2.1189333 4214.83220 10.0165681 2000-2009 –> 2010-2019 4.3340401 6730.92243
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 968 2.1320823 4226.80888 9.9780366 2000-2009 –> 2010-2019 4.3464754 6742.53497
Atlantic (27,27.25] 4 cstar_tref ~ temp + aou + nitrate + silicate 968 1.9988032 4099.83913 12.2168263 2000-2009 –> 2010-2019 4.1535801 6582.72620
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 968 1.9734220 4077.09801 13.6201194 2000-2009 –> 2010-2019 4.1152234 6555.15992
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 968 1.9707964 4074.52046 13.8143559 2000-2009 –> 2010-2019 4.1127412 6552.65806
Atlantic (27,27.25] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 968 2.0049683 4107.80129 12.2567831 2000-2009 –> 2010-2019 4.1552188 6590.31217
Atlantic (27.25,27.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1076 2.7570081 5249.99803 25.8746953 1982-1999 –> 2000-2009 4.3843573 10291.73847
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1076 3.1958432 5567.85902 24.9031937 1982-1999 –> 2000-2009 4.8739685 10690.65142
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1076 3.1016876 5503.50424 14.4654452 1982-1999 –> 2000-2009 4.6057052 10337.33726
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1076 3.1308917 5523.67175 20.0767189 1982-1999 –> 2000-2009 4.8264294 10673.69532
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1076 3.1310565 5523.78503 20.0282099 1982-1999 –> 2000-2009 4.9186127 10813.22560
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1076 2.7883712 5274.34050 18.2462312 1982-1999 –> 2000-2009 4.2314046 9998.98006
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + aou + nitrate + silicate 1076 2.9499075 5393.53297 18.9525258 1982-1999 –> 2000-2009 4.5066890 10316.32590
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1076 2.5808580 5107.91402 18.4627742 1982-1999 –> 2000-2009 4.1355266 10029.12424
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1076 2.6332753 5151.18331 21.4590286 1982-1999 –> 2000-2009 4.1880537 10072.57967
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1076 2.5364180 5070.53582 14.1492091 1982-1999 –> 2000-2009 4.1280989 10053.81340
Atlantic (27.25,27.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1478 3.4740731 7889.57105 17.0099715 2000-2009 –> 2010-2019 6.2310812 13139.56909
Atlantic (27.25,27.5] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 1478 3.5329185 7937.22172 16.6747176 2000-2009 –> 2010-2019 6.5915940 13408.67469
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + nitrate + silicate 1478 3.0703633 7522.41093 12.9643022 2000-2009 –> 2010-2019 6.2476382 13075.73005
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1478 3.0434772 7498.41230 12.4226555 2000-2009 –> 2010-2019 6.1451648 13001.91654
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1478 3.0581923 7512.67003 11.8948984 2000-2009 –> 2010-2019 5.8579010 12795.74284
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1478 3.0263635 7481.74359 13.4171899 2000-2009 –> 2010-2019 5.8147347 12756.08409
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + aou + nitrate + silicate 1478 3.4944305 7904.84201 11.9057176 2000-2009 –> 2010-2019 6.4443380 13298.37499
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1478 3.2529450 7695.16383 14.4321672 2000-2009 –> 2010-2019 5.8338029 12803.07784
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1478 3.3408467 7773.98123 15.1204142 2000-2009 –> 2010-2019 5.9741220 12925.16454
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1478 3.1285571 7579.91288 12.0689739 2000-2009 –> 2010-2019 5.6649751 12650.44870
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2345 3.5207861 12572.05097 15.2689424 1982-1999 –> 2000-2009 5.0069495 22576.56212
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2345 3.5492345 12609.79454 13.9614294 1982-1999 –> 2000-2009 5.0146293 22536.84654
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2345 3.2361011 12176.61352 17.0885847 1982-1999 –> 2000-2009 4.7466679 22270.76827
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2345 2.9602194 11758.70704 19.5542585 1982-1999 –> 2000-2009 4.6396133 22435.99964
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + phosphate_star 2345 3.3869271 12388.26087 11.7431450 1982-1999 –> 2000-2009 5.0758376 23094.65473
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2345 3.3780193 12377.90964 12.4340064 1982-1999 –> 2000-2009 4.8643760 22383.13643
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2345 3.3635067 12357.71704 14.8552059 1982-1999 –> 2000-2009 4.8349068 22307.27886
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2345 3.4639988 12495.78856 12.2512110 1982-1999 –> 2000-2009 4.9353316 22445.09860
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 2345 3.4365693 12456.50329 11.7724140 1982-1999 –> 2000-2009 5.1255684 23163.18607
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2345 3.4216219 12438.05950 12.4487021 1982-1999 –> 2000-2009 4.9054298 22433.83999
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + nitrate + phosphate 2477 2.2663638 11094.66882 15.8748441 2000-2009 –> 2010-2019 5.8170183 23704.33936
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2477 2.2239914 11003.17112 16.6359345 2000-2009 –> 2010-2019 5.7447775 23575.22209
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2477 2.1727194 10887.62421 15.7824173 2000-2009 –> 2010-2019 5.7217053 23497.09028
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2477 2.2984320 11166.27473 17.9275782 2000-2009 –> 2010-2019 5.9011624 23846.23203
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2477 2.2119175 10976.20287 16.9535133 2000-2009 –> 2010-2019 5.7611520 23585.99741
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2477 2.4017917 11384.19066 15.4041652 2000-2009 –> 2010-2019 5.6378929 23560.80418
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2477 2.8799884 12283.69460 13.5857772 2000-2009 –> 2010-2019 5.8402078 24042.40164
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2477 2.5046334 11591.89883 13.4245992 2000-2009 –> 2010-2019 5.8826527 23969.80847
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2477 2.2602083 11083.19529 16.4836726 2000-2009 –> 2010-2019 5.6237149 23440.91233
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2477 2.5067641 11596.11138 13.4447290 2000-2009 –> 2010-2019 5.9283859 24034.17088
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 893 1.2579178 2958.03586 10.1918392 1982-1999 –> 2000-2009 2.0137082 5008.47367
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 893 1.1092953 2733.47690 6.5694460 1982-1999 –> 2000-2009 1.9606256 4996.75134
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 893 1.1711768 2830.42845 9.7589501 1982-1999 –> 2000-2009 1.8661094 4730.76491
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 893 1.2816490 2991.41566 10.1057250 1982-1999 –> 2000-2009 2.0729578 5123.96606
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 893 1.1178127 2747.13793 7.0758648 1982-1999 –> 2000-2009 1.9101368 4881.98076
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 893 1.0979502 2715.11690 9.9240699 1982-1999 –> 2000-2009 1.7743723 4567.18201
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 893 1.1864206 2853.52465 9.6458515 1982-1999 –> 2000-2009 1.9149352 4838.24205
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 893 1.2205115 2904.12050 9.5932651 1982-1999 –> 2000-2009 1.9900202 4986.72117
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 893 1.2146414 2895.50991 9.3974032 1982-1999 –> 2000-2009 1.9862601 4983.00658
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 893 1.2191463 2902.12163 9.5734649 1982-1999 –> 2000-2009 1.9911984 4990.62247
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + nitrate + silicate 967 1.5797399 3640.56836 8.5119469 2000-2009 –> 2010-2019 2.7109662 6407.01043
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 967 1.4865337 3524.95563 7.0331742 2000-2009 –> 2010-2019 2.6133932 6286.49001
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 967 1.5750668 3636.83886 6.7192055 2000-2009 –> 2010-2019 2.6843621 6370.31576
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 967 1.4210597 3437.84026 9.1755915 2000-2009 –> 2010-2019 2.5922365 6268.26871
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 967 1.5272537 3577.22040 10.2358088 2000-2009 –> 2010-2019 2.6450665 6324.35833
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 967 1.4913701 3531.23765 9.2651996 2000-2009 –> 2010-2019 2.5893202 6246.35455
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 967 1.4633244 3494.52190 8.9927438 2000-2009 –> 2010-2019 2.6497450 6348.04655
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 967 1.5238012 3572.84336 8.9801725 2000-2009 –> 2010-2019 2.7443127 6476.96386
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 967 1.5399069 3593.17737 8.9855892 2000-2009 –> 2010-2019 2.7545483 6488.68728
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 967 1.5267213 3576.54598 8.9686352 2000-2009 –> 2010-2019 2.7458675 6478.66761
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 872 1.0738864 2612.94850 8.1411173 1982-1999 –> 2000-2009 1.9079565 5230.65000
Atlantic (27.85,27.95] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 872 1.1334878 2705.15093 7.5337746 1982-1999 –> 2000-2009 2.0309298 5474.93074
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 872 1.0373757 2552.62336 7.1873548 1982-1999 –> 2000-2009 1.8414710 5093.31925
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 872 1.0972752 2650.52429 8.1642574 1982-1999 –> 2000-2009 1.9432348 5298.00627
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 872 1.0101371 2506.21896 7.4173891 1982-1999 –> 2000-2009 1.8531451 5146.34698
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 872 1.0599151 2590.11016 7.0759599 1982-1999 –> 2000-2009 1.8798005 5171.72199
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 872 1.0962796 2648.94124 7.0220257 1982-1999 –> 2000-2009 1.9362500 5281.47417
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 872 1.1307559 2702.94265 8.2843714 1982-1999 –> 2000-2009 1.9929940 5390.52631
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 872 1.0968516 2649.85103 7.0954712 1982-1999 –> 2000-2009 1.9358010 5279.82489
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 872 1.0984753 2652.43073 7.0025016 1982-1999 –> 2000-2009 1.9408901 5291.07783
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 920 0.9204308 2472.28610 4.9661745 2000-2009 –> 2010-2019 1.9943172 5085.23461
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 920 0.9021446 2435.36285 6.8460830 2000-2009 –> 2010-2019 1.9395203 4987.98621
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 920 0.9443316 2519.45551 4.9083923 2000-2009 –> 2010-2019 2.0416067 5169.97980
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 920 1.0431962 2702.65919 4.8974142 2000-2009 –> 2010-2019 2.2038356 5451.09345
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 920 1.0378664 2693.23429 5.6765043 2000-2009 –> 2010-2019 2.0480035 5199.45325
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 920 0.9525802 2535.45782 6.9753891 2000-2009 –> 2010-2019 2.0124953 5125.56799
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 920 1.0072170 2638.07844 7.1285152 2000-2009 –> 2010-2019 2.1034966 5287.01967
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 920 0.9752028 2578.64489 4.8804081 2000-2009 –> 2010-2019 2.1059588 5281.58755
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 920 0.9974303 2620.11262 6.9714191 2000-2009 –> 2010-2019 2.0942820 5269.96365
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 920 1.0137818 2650.03220 7.1634967 2000-2009 –> 2010-2019 2.1122571 5302.46293
Atlantic (27.95,28.05] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1024 3.2040608 5304.71623 12.6467122 1982-1999 –> 2000-2009 5.3029416 10784.38345
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1024 3.3209096 5378.07505 11.8216730 1982-1999 –> 2000-2009 5.5190663 10974.66588
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1024 3.0240448 5186.29322 9.8684521 1982-1999 –> 2000-2009 5.4809437 11064.42458
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1024 3.0484683 5202.76735 9.9015195 1982-1999 –> 2000-2009 5.5780198 11154.62813
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1024 3.2469646 5331.95789 11.8900425 1982-1999 –> 2000-2009 5.3494613 10815.98005
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1024 3.0647236 5213.65881 11.2071956 1982-1999 –> 2000-2009 5.0251034 10520.61309
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1024 3.2208543 5315.42242 11.8166423 1982-1999 –> 2000-2009 5.2970656 10767.61512
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1024 3.1811327 5290.00815 12.3946742 1982-1999 –> 2000-2009 5.2449425 10727.04352
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1024 3.1783289 5288.20229 11.5338670 1982-1999 –> 2000-2009 5.2718054 10761.34677
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1024 3.1776413 5287.75916 12.3307299 1982-1999 –> 2000-2009 5.2371209 10719.48057
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1202 3.2143803 6232.12179 11.6425505 2000-2009 –> 2010-2019 6.5352900 11610.19684
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1202 3.1894432 6213.39885 13.1189770 2000-2009 –> 2010-2019 6.2134880 11399.69207
Atlantic (27.95,28.05] 4 cstar_tref ~ sal + nitrate + silicate + phosphate 1202 3.3388924 6321.48474 14.1836735 2000-2009 –> 2010-2019 6.4441519 11560.05407
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1202 3.2265013 6241.16992 13.4603721 2000-2009 –> 2010-2019 6.2749696 11443.93727
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1202 3.1679664 6197.15630 11.3333712 2000-2009 –> 2010-2019 6.4149310 11529.11419
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1202 3.0222454 6083.95235 10.6438776 2000-2009 –> 2010-2019 6.0869689 11297.61117
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1202 3.1524542 6185.35595 11.2295267 2000-2009 –> 2010-2019 6.3733085 11500.77837
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1202 3.3380208 6322.85708 14.1504288 2000-2009 –> 2010-2019 6.4429073 11563.18041
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1202 3.3672913 6343.84546 11.3525935 2000-2009 –> 2010-2019 6.5456202 11632.04776
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1202 3.3651161 6342.29198 10.8513819 2000-2009 –> 2010-2019 6.5427573 11630.05114
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 614 1.0745148 1844.71192 4.6039192 1982-1999 –> 2000-2009 1.7068464 3186.25718
Atlantic (28.05,28.1] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 614 1.0746015 1842.81102 4.6566606 1982-1999 –> 2000-2009 1.7084477 3185.66260
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 614 1.0737848 1843.87731 4.3711123 1982-1999 –> 2000-2009 1.7025464 3177.59820
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 614 1.0764618 1846.93495 4.5580778 1982-1999 –> 2000-2009 1.7113274 3194.00748
Atlantic (28.05,28.1] 4 cstar_tref ~ sal + temp + aou + phosphate 614 1.0766589 1845.15978 4.6370996 1982-1999 –> 2000-2009 1.7125821 3192.53263
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 614 1.0577383 1825.38777 4.7101093 1982-1999 –> 2000-2009 1.6635303 3107.67666
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 614 1.0755913 1845.94154 4.3101581 1982-1999 –> 2000-2009 1.7073173 3186.16280
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 614 1.0789264 1849.74332 4.5197960 1982-1999 –> 2000-2009 1.7177656 3205.43884
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 614 1.0781359 1848.84327 4.5897740 1982-1999 –> 2000-2009 1.7126885 3195.23431
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 614 1.0779048 1848.58002 4.2522586 1982-1999 –> 2000-2009 1.7135348 3197.31562
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 738 1.0566586 2189.69816 3.1747023 2000-2009 –> 2010-2019 2.1311735 4034.41008
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 738 1.0500836 2180.48505 2.7573145 2000-2009 –> 2010-2019 2.1238683 4024.36236
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 738 1.0626554 2198.05106 3.2041788 2000-2009 –> 2010-2019 2.1391171 4044.98602
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 738 0.9654455 2056.44888 2.4569467 2000-2009 –> 2010-2019 2.0231838 3881.83665
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 738 1.0557803 2188.47075 2.7560656 2000-2009 –> 2010-2019 2.1313716 4034.41230
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 738 1.0669821 2204.04853 3.2325819 2000-2009 –> 2010-2019 2.1459085 4053.79185
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 738 1.0621403 2197.33542 2.5691615 2000-2009 –> 2010-2019 2.1402762 4046.17869
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 738 1.0603798 2194.88700 2.7618928 2000-2009 –> 2010-2019 2.1382846 4043.46702
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 738 0.9315191 2003.64798 3.6881636 2000-2009 –> 2010-2019 2.0742444 3923.93931
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 738 0.9472994 2028.44257 3.2260512 2000-2009 –> 2010-2019 2.1187542 3979.22559
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 889 0.8412543 2229.52541 3.6727825 1982-1999 –> 2000-2009 1.3851949 3625.42506
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 889 0.8206877 2185.51746 4.3362150 1982-1999 –> 2000-2009 1.3668646 3588.41674
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 889 0.8453266 2238.11153 3.5917029 1982-1999 –> 2000-2009 1.3890284 3633.26189
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 889 0.8493526 2246.55943 3.5276393 1982-1999 –> 2000-2009 1.3945489 3646.39294
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 889 0.8250642 2194.97382 4.2431409 1982-1999 –> 2000-2009 1.3726722 3602.33723
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 889 0.8325793 2211.09536 4.0625177 1982-1999 –> 2000-2009 1.3886281 3644.55464
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 889 0.8467683 2241.14130 3.7170713 1982-1999 –> 2000-2009 1.3909260 3637.72172
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 889 0.8288065 2203.02029 4.1701664 1982-1999 –> 2000-2009 1.3802340 3622.24159
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 889 0.8741948 2297.81693 8.2590618 1982-1999 –> 2000-2009 1.3828920 3579.43686
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 889 0.8453189 2238.09520 8.6287507 1982-1999 –> 2000-2009 1.3532048 3516.99187
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 969 0.8144544 2366.15399 2.1848852 2000-2009 –> 2010-2019 1.6557088 4595.67940
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 969 0.8113083 2358.65331 2.2239622 2000-2009 –> 2010-2019 1.6319960 4544.17077
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 969 0.8227592 2385.81509 2.1607515 2000-2009 –> 2010-2019 1.6680858 4623.92662
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 969 0.7952810 2319.98508 2.2215974 2000-2009 –> 2010-2019 1.6690276 4616.89013
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 969 0.8202657 2379.93293 2.2212677 2000-2009 –> 2010-2019 1.6453299 4574.90675
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 969 0.8335364 2411.03583 2.2286907 2000-2009 –> 2010-2019 1.6661156 4622.13119
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 969 0.8284478 2399.16836 2.1547757 2000-2009 –> 2010-2019 1.6777312 4645.58282
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 969 0.8256778 2392.67768 2.2207215 2000-2009 –> 2010-2019 1.6544843 4595.69796
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 969 0.5563168 1627.42620 2.0335568 2000-2009 –> 2010-2019 1.4305116 3925.24312
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 969 0.5961961 1761.59699 2.0058635 2000-2009 –> 2010-2019 1.4415149 3999.69219
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + aou + nitrate + phosphate 1575 0.6942933 3332.34479 6.4651450 1982-1999 –> 2000-2009 1.2050653 5618.53727
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1575 0.6899239 3314.45819 6.3586389 1982-1999 –> 2000-2009 1.1851118 5508.32936
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 1575 0.6900702 3313.12642 6.3393721 1982-1999 –> 2000-2009 1.2110023 5659.27422
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1575 0.6536179 3144.17454 5.6319644 1982-1999 –> 2000-2009 1.1581684 5395.06149
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1575 0.6589263 3169.65392 5.8602178 1982-1999 –> 2000-2009 1.1789257 5512.34736
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1575 0.6898816 3314.26520 6.5981133 1982-1999 –> 2000-2009 1.1805476 5480.21160
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1575 0.6933029 3329.84809 6.3869579 1982-1999 –> 2000-2009 1.1845974 5499.69113
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1575 0.6886971 3308.85213 6.3268254 1982-1999 –> 2000-2009 1.1769300 5459.66665
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1575 0.7038718 3377.50556 6.4220217 1982-1999 –> 2000-2009 1.2001308 5577.95353
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1575 0.4479571 1954.02448 12.0203691 1982-1999 –> 2000-2009 0.9285778 4057.00490
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + aou + nitrate + phosphate 1821 0.6287263 3489.67029 2.0003964 2000-2009 –> 2010-2019 1.3230196 6822.01508
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1821 0.6249885 3469.95374 1.8281451 2000-2009 –> 2010-2019 1.3149123 6784.41192
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 1821 0.6250077 3468.06551 1.8143534 2000-2009 –> 2010-2019 1.3150779 6781.19193
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1821 0.5999153 3320.83304 2.0841029 2000-2009 –> 2010-2019 1.2535332 6465.00757
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1821 0.6049912 3351.51850 1.9304748 2000-2009 –> 2010-2019 1.2639175 6521.17241
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1821 0.6203195 3442.64416 2.3503848 2000-2009 –> 2010-2019 1.3102011 6756.90935
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1821 0.6277401 3485.95296 1.9149613 2000-2009 –> 2010-2019 1.3210429 6815.80104
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1821 0.6228448 3457.44020 1.9538834 2000-2009 –> 2010-2019 1.3115419 6766.29232
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1821 0.6345646 3525.33369 1.9087735 2000-2009 –> 2010-2019 1.3384365 6902.83925
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1821 0.3161580 987.96348 1.7377378 2000-2009 –> 2010-2019 0.7641152 2941.98795
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate 2386 0.3857950 2238.08758 2.1206270 1982-1999 –> 2000-2009 0.7204759 3783.01621
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2386 0.3701599 2042.66456 2.1366141 1982-1999 –> 2000-2009 0.6998266 3518.25347
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 2386 0.3913221 2305.96853 2.5393191 1982-1999 –> 2000-2009 0.7242858 3826.58715
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2386 0.3793003 2159.06828 2.6856860 1982-1999 –> 2000-2009 0.7097811 3646.31332
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2386 0.3904211 2296.96818 2.1609522 1982-1999 –> 2000-2009 0.7122206 3658.40770
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + temp + aou + nitrate 2386 0.3917698 2311.42486 2.6915472 1982-1999 –> 2000-2009 0.7209702 3778.32401
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2386 0.3702790 2044.19981 2.1371297 1982-1999 –> 2000-2009 0.6992391 3509.64716
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2386 0.3704396 2046.26892 2.1377962 1982-1999 –> 2000-2009 0.6993237 3510.62521
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2386 0.3829275 2204.48560 1.9635761 1982-1999 –> 2000-2009 0.7091571 3630.54281
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2386 0.3698484 2038.64672 2.1296422 1982-1999 –> 2000-2009 0.6943160 3439.10838
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate 3968 0.3595039 3153.92719 2.0042027 2000-2009 –> 2010-2019 0.7452989 5392.01477
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3968 0.3439802 2805.62521 2.3109297 2000-2009 –> 2010-2019 0.7141401 4848.28977
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 3968 0.3832629 3661.80228 1.7788878 2000-2009 –> 2010-2019 0.7745850 5967.77081
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3968 0.3208622 2253.49972 2.0227360 2000-2009 –> 2010-2019 0.7001625 4412.56801
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3968 0.3791630 3578.44908 1.8740690 2000-2009 –> 2010-2019 0.7695840 5875.41726
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + temp + aou + nitrate 3968 0.3794590 3582.64239 2.0484545 2000-2009 –> 2010-2019 0.7712288 5894.06725
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 3968 0.3442659 2812.21505 2.3086975 2000-2009 –> 2010-2019 0.7145449 4856.41486
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3968 0.3446008 2819.93043 2.3080415 2000-2009 –> 2010-2019 0.7150404 4866.19935
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 3968 0.3785440 3565.48364 2.0898398 2000-2009 –> 2010-2019 0.7614715 5769.96924
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3968 0.3432961 2789.82757 2.3073427 2000-2009 –> 2010-2019 0.7131445 4828.47429
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1948 5.6756231 12306.34320 26.8145635 1982-1999 –> 2000-2009 10.9682202 19971.75726
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 1948 6.1413329 12611.58739 23.2881475 1982-1999 –> 2000-2009 11.5930560 20348.46563
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1948 6.0098337 12529.25956 22.0600203 1982-1999 –> 2000-2009 11.3696870 20225.98989
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1948 5.8962600 12454.92844 23.7549588 1982-1999 –> 2000-2009 11.0981590 20077.47492
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1948 5.9957619 12520.12648 25.4779975 1982-1999 –> 2000-2009 11.3553403 20216.72962
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1948 6.1279226 12605.07075 24.3229358 1982-1999 –> 2000-2009 11.4656569 20291.54543
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1948 6.2719923 12695.60699 18.9376779 1982-1999 –> 2000-2009 11.5747597 20365.78205
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1948 6.4042864 12776.92997 20.8044989 1982-1999 –> 2000-2009 11.8641077 20519.48936
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1948 6.0387374 12547.95202 24.5331065 1982-1999 –> 2000-2009 11.4460585 20266.54903
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1948 6.4211530 12787.17713 21.2192226 1982-1999 –> 2000-2009 11.9110889 20543.37781
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2929 4.1357384 16642.54464 21.4103762 2000-2009 –> 2010-2019 9.8113615 28948.88784
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 2929 5.4058332 18209.39151 23.5444293 2000-2009 –> 2010-2019 11.5471661 30820.97891
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2929 5.0140556 17770.67370 22.1510959 2000-2009 –> 2010-2019 11.0238894 30299.93326
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + aou + nitrate 2929 4.2992093 16867.63148 24.7024767 2000-2009 –> 2010-2019 11.5821104 30143.43809
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2929 4.2878320 16854.10844 22.8093721 2000-2009 –> 2010-2019 10.1840920 29309.03688
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2929 4.2945537 16863.28445 23.5223283 2000-2009 –> 2010-2019 10.2903156 29383.41092
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2929 4.0004651 16447.73543 23.3251671 2000-2009 –> 2010-2019 10.9731714 29555.96528
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2929 5.2578389 18048.78220 21.5713770 2000-2009 –> 2010-2019 11.3857615 30653.85294
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2929 5.3466749 18146.93165 32.2033053 2000-2009 –> 2010-2019 11.6186673 30842.53864
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2929 4.4137596 17023.67180 23.2460075 2000-2009 –> 2010-2019 10.4524970 29571.62382
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2271 4.5784606 13368.84878 15.0684981 1982-1999 –> 2000-2009 8.3065276 22046.78514
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2271 4.7010715 13488.88309 16.3098152 1982-1999 –> 2000-2009 8.7584077 22434.94876
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2271 4.2729931 13055.23150 17.5171855 1982-1999 –> 2000-2009 7.8780595 21626.88244
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2271 4.3147637 13099.41609 18.9841354 1982-1999 –> 2000-2009 8.0927832 21819.51877
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2271 4.5775038 13367.89954 20.3083514 1982-1999 –> 2000-2009 8.6520329 22327.36118
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2271 4.6993338 13487.20386 21.3529035 1982-1999 –> 2000-2009 8.9097331 22550.58330
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2271 4.3361529 13121.87613 19.2407151 1982-1999 –> 2000-2009 8.1525352 21873.98508
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2271 4.5041271 13294.50209 15.1807033 1982-1999 –> 2000-2009 8.6820299 22333.33554
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2271 4.4016256 13189.94436 16.1629371 1982-1999 –> 2000-2009 8.6202460 22259.50350
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2271 4.3920452 13180.04773 16.5263756 1982-1999 –> 2000-2009 8.6338551 22266.97343
Indo-Pacific (26,26.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2029 3.8734802 11267.20701 24.8850628 2000-2009 –> 2010-2019 8.7218127 24896.18524
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2029 3.6354482 11009.84465 18.9003028 2000-2009 –> 2010-2019 8.3365197 24498.72774
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2029 3.6110351 10982.50208 18.9538693 2000-2009 –> 2010-2019 8.1885389 24350.40162
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2029 3.6122358 10983.85118 19.0784260 2000-2009 –> 2010-2019 8.3115696 24471.05503
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2029 3.6139000 10985.72032 19.1526325 2000-2009 –> 2010-2019 8.3366501 24495.50037
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2029 3.8471857 11239.56602 24.7872522 2000-2009 –> 2010-2019 8.3513129 24534.06811
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2029 3.8428730 11235.01441 24.7171633 2000-2009 –> 2010-2019 8.2444986 24424.95877
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate 2029 3.8694693 11261.00282 23.7535839 2000-2009 –> 2010-2019 8.8716863 25029.90210
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2029 3.8544399 11247.21045 23.8272865 2000-2009 –> 2010-2019 8.8537767 25015.49377
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2029 3.8415919 11233.66135 24.6942406 2000-2009 –> 2010-2019 8.2336371 24413.70908
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1978 4.6397281 11698.41905 23.5031945 1982-1999 –> 2000-2009 8.0357818 18374.41471
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1978 4.4580157 11540.36886 21.3610143 1982-1999 –> 2000-2009 7.6016405 18021.57152
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1978 4.7452656 11787.39598 15.5979423 1982-1999 –> 2000-2009 8.0876135 18423.18959
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1978 4.4531259 11536.02736 22.0891780 1982-1999 –> 2000-2009 7.5832008 18006.33589
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1978 4.4820651 11561.65276 22.3061876 1982-1999 –> 2000-2009 7.7005651 18102.22039
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1978 4.4867599 11565.79432 22.3124141 1982-1999 –> 2000-2009 7.7195011 18117.49674
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1978 4.7888904 11823.59865 23.5444902 1982-1999 –> 2000-2009 8.3112214 18591.66982
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1978 4.6408175 11699.34777 23.9242286 1982-1999 –> 2000-2009 8.0965854 18419.30350
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1978 4.6630211 11718.22982 24.1066620 1982-1999 –> 2000-2009 8.2156093 18507.87271
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1978 4.6676823 11722.18226 24.1152730 1982-1999 –> 2000-2009 8.2380641 18524.42540
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1843 3.1163271 9433.91810 21.3222575 2000-2009 –> 2010-2019 7.7560552 21132.33714
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1843 3.0676342 9375.86935 17.4297906 2000-2009 –> 2010-2019 7.8128998 21163.26533
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1843 3.1766008 9504.52933 18.5793481 2000-2009 –> 2010-2019 8.0904583 21430.03670
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1843 3.2108024 9544.00333 19.0646224 2000-2009 –> 2010-2019 8.2139689 21540.76514
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1843 3.1446601 9467.27906 20.3659045 2000-2009 –> 2010-2019 8.0223392 21363.55252
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1843 3.2138301 9547.47752 19.0366119 2000-2009 –> 2010-2019 8.2216013 21547.87859
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1843 3.2035097 9535.62182 22.0971848 2000-2009 –> 2010-2019 7.8443272 21234.96959
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1843 3.2430949 9580.88995 22.6333165 2000-2009 –> 2010-2019 7.9061160 21299.11977
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1843 3.0175059 9315.13879 18.6001692 2000-2009 –> 2010-2019 8.0859411 21363.17471
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1843 3.2458016 9583.96499 22.6331899 2000-2009 –> 2010-2019 7.9134838 21306.14725
Indo-Pacific (26.75,27] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2819 4.0776819 15936.34603 19.4463135 1982-1999 –> 2000-2009 7.3185891 24775.82785
Indo-Pacific (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2819 4.0755578 15935.40839 19.1521191 1982-1999 –> 2000-2009 7.2982266 24757.69114
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2819 3.9837633 15806.97091 21.6194471 1982-1999 –> 2000-2009 7.0665711 24478.31023
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2819 3.8850879 15665.56234 14.1049808 1982-1999 –> 2000-2009 6.9706580 24339.94865
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2819 3.9405566 15745.48874 12.7872998 1982-1999 –> 2000-2009 7.1562600 24560.41057
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2819 3.9440606 15750.49999 12.8179007 1982-1999 –> 2000-2009 7.1711550 24577.45139
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 2819 3.9702583 15785.82544 13.2058337 1982-1999 –> 2000-2009 7.2705445 24687.07361
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2819 3.9668353 15782.96255 13.7077993 1982-1999 –> 2000-2009 7.2669745 24686.05920
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2819 4.0658774 15922.00091 17.0290966 1982-1999 –> 2000-2009 7.2981692 24754.42702
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2819 4.0929479 15959.41419 15.6770800 1982-1999 –> 2000-2009 7.4613118 24932.12415
Indo-Pacific (26.75,27] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2295 3.8769122 12739.00893 18.7273403 2000-2009 –> 2010-2019 7.9545940 28675.35497
Indo-Pacific (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2295 3.7364083 12571.64657 19.4060442 2000-2009 –> 2010-2019 7.8119661 28507.05496
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2295 3.8651927 12727.11891 18.7872983 2000-2009 –> 2010-2019 7.8489560 28534.08982
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2295 3.9574094 12840.88420 19.0761054 2000-2009 –> 2010-2019 7.8424972 28506.44654
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2295 3.9938647 12877.36595 19.2290428 2000-2009 –> 2010-2019 7.9344213 28622.85469
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2295 3.9680498 12847.61449 19.1604403 2000-2009 –> 2010-2019 7.9121104 28598.11448
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2295 3.7912369 12638.48235 23.3806658 2000-2009 –> 2010-2019 7.8571143 28560.48326
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2295 3.7865015 12638.24903 17.8222827 2000-2009 –> 2010-2019 7.8794495 28597.66322
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2295 3.8075558 12658.18851 18.5035575 2000-2009 –> 2010-2019 7.9978917 28750.18257
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2295 3.7935784 12641.31504 18.0389276 2000-2009 –> 2010-2019 7.9864991 28736.78601
Indo-Pacific (27,27.25] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3676 3.2364533 19078.79880 9.6178381 1982-1999 –> 2000-2009 5.7348587 29358.33096
Indo-Pacific (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3676 2.9387727 18371.43370 9.4191609 1982-1999 –> 2000-2009 5.3652728 28524.53202
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3676 3.1207335 18813.11258 10.7348188 1982-1999 –> 2000-2009 5.5252114 28926.11379
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 3676 3.2470123 19104.74578 12.3580696 1982-1999 –> 2000-2009 5.6763866 29263.05074
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3676 3.3518885 19338.45590 13.1809540 1982-1999 –> 2000-2009 5.8703283 29655.11450
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + nitrate + phosphate 3676 3.3244420 19276.00720 11.1019618 1982-1999 –> 2000-2009 5.8438102 29592.28671
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3676 3.2138963 19029.37842 9.1504247 1982-1999 –> 2000-2009 5.7063126 29300.35531
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3676 3.0685115 18689.04410 10.0608647 1982-1999 –> 2000-2009 5.5305363 28906.06386
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3676 3.1893955 18973.11662 10.5866181 1982-1999 –> 2000-2009 5.7356830 29338.13914
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3676 3.1904635 18975.57807 10.6051359 1982-1999 –> 2000-2009 5.7495947 29362.72873
Indo-Pacific (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3284 4.6870369 19479.83850 20.4917587 2000-2009 –> 2010-2019 7.6258096 37851.27221
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3284 4.6531702 19432.20848 26.0381614 2000-2009 –> 2010-2019 7.7739037 38245.32106
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 3284 4.6928236 19487.94255 26.8730052 2000-2009 –> 2010-2019 7.9398359 38592.68833
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3284 3.8680567 18218.46497 21.7246027 2000-2009 –> 2010-2019 7.3835412 37907.26892
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3284 4.6631582 19446.29150 26.8744812 2000-2009 –> 2010-2019 8.0240221 38804.40769
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3284 3.8490997 18186.19660 20.1643709 2000-2009 –> 2010-2019 7.0629959 37215.57502
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3284 4.8509380 19705.59051 20.6677413 2000-2009 –> 2010-2019 7.9194495 38394.63461
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 3284 3.9200838 18304.21869 20.0004104 2000-2009 –> 2010-2019 7.5260857 38177.92744
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3284 3.4284033 17425.98582 15.2513239 2000-2009 –> 2010-2019 6.7559786 36710.91924
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3284 4.8311779 19678.78144 20.7203848 2000-2009 –> 2010-2019 8.0216414 38654.35951
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4720 3.1289366 24176.92366 9.6051987 1982-1999 –> 2000-2009 5.4290049 35896.18213
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4720 3.0246174 23856.82627 9.4162252 1982-1999 –> 2000-2009 5.4122035 35770.19924
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4720 3.1431206 24219.61993 9.7626038 1982-1999 –> 2000-2009 5.6766190 36441.32897
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4720 3.0984193 24084.40098 9.6458398 1982-1999 –> 2000-2009 5.6006390 36241.53589
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4720 3.1048835 24104.07510 10.6886759 1982-1999 –> 2000-2009 5.5442567 36128.98791
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4720 3.1922923 24366.15828 12.1881855 1982-1999 –> 2000-2009 5.5751821 36269.29670
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4720 2.8763708 23382.41680 10.0884325 1982-1999 –> 2000-2009 5.1181034 34968.13990
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4720 3.2460052 24523.67246 9.7320742 1982-1999 –> 2000-2009 5.6444097 36460.54461
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4720 3.1052250 24103.11323 10.6497450 1982-1999 –> 2000-2009 5.5520444 36141.86888
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4720 2.8082775 23156.25297 9.4131136 1982-1999 –> 2000-2009 5.0766573 34803.39961
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4339 3.8221603 23963.14799 13.8718943 2000-2009 –> 2010-2019 6.8467777 47819.97426
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4339 3.4162824 22988.93090 12.4423130 2000-2009 –> 2010-2019 6.5594029 47208.55082
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4339 3.4366430 23040.49717 13.3875642 2000-2009 –> 2010-2019 6.9160666 48219.69817
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4339 3.6786580 23631.06020 13.8126304 2000-2009 –> 2010-2019 6.7770773 47715.46118
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4339 3.3774584 22889.74614 12.7701806 2000-2009 –> 2010-2019 6.8039919 47924.34951
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4339 3.3963497 22938.15002 13.0701551 2000-2009 –> 2010-2019 6.8633957 48083.70941
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4339 3.1640708 22323.38462 9.6184310 2000-2009 –> 2010-2019 6.5795106 47327.37558
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + temp + silicate + phosphate 4339 3.3849302 22906.92294 12.1863966 2000-2009 –> 2010-2019 6.8932944 48162.31764
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4339 3.3755726 22884.89935 12.8193881 2000-2009 –> 2010-2019 6.8185116 47964.59153
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4339 3.4520802 23079.39115 13.7622269 2000-2009 –> 2010-2019 6.2603578 46235.64412
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5800 2.9004356 28826.07377 9.2465172 1982-1999 –> 2000-2009 4.9375302 42423.90674
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5800 2.8860970 28768.58560 9.6339100 1982-1999 –> 2000-2009 4.9188426 42352.79170
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 5800 2.8843812 28761.68738 9.5827519 1982-1999 –> 2000-2009 4.9191920 42352.36800
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 5800 2.9879030 29168.71984 14.2142224 1982-1999 –> 2000-2009 5.0488197 42838.68204
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 5800 2.9666671 29087.98091 9.8853074 1982-1999 –> 2000-2009 5.2147451 43314.17514
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5800 2.9814139 29145.49969 10.0311209 1982-1999 –> 2000-2009 5.2472536 43421.87177
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 5800 2.9432106 28995.89883 9.9254142 1982-1999 –> 2000-2009 5.0720821 42874.70563
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5800 2.9461622 29007.52620 11.7063885 1982-1999 –> 2000-2009 4.9866034 42615.82504
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5800 2.9721505 29109.40187 9.9579637 1982-1999 –> 2000-2009 5.2292487 43361.12815
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5800 2.9895103 29176.95841 21.7421547 1982-1999 –> 2000-2009 5.1568100 43169.83187
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5001 3.5428250 26857.99746 12.0247768 2000-2009 –> 2010-2019 6.4289220 55626.58306
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5001 2.6064014 23787.84393 10.4532230 2000-2009 –> 2010-2019 5.6088583 53014.92962
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 5001 2.5905662 23726.89147 10.6874045 2000-2009 –> 2010-2019 5.7065817 53384.61761
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + silicate 5001 2.6097551 23798.70552 11.1658439 2000-2009 –> 2010-2019 5.7475205 53535.11899
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 5001 2.5931468 23736.85021 9.8186971 2000-2009 –> 2010-2019 5.5598139 52824.83112
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5001 2.5935767 23738.50826 9.8620383 2000-2009 –> 2010-2019 5.5749906 52884.00795
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 5001 2.9356173 24977.55454 11.1884723 2000-2009 –> 2010-2019 5.8788279 53973.45337
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate 5001 3.0365081 25313.52661 10.9773248 2000-2009 –> 2010-2019 6.0212955 54470.14468
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5001 2.5914043 23730.12708 9.7204049 2000-2009 –> 2010-2019 5.5635548 52839.52895
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5001 3.4344599 26547.28771 14.5301844 2000-2009 –> 2010-2019 6.4239702 55724.24612
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2187 2.1566622 9580.12614 7.6455682 1982-1999 –> 2000-2009 3.6134765 13932.89706
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2187 2.1564364 9581.66820 7.6080012 1982-1999 –> 2000-2009 3.6132479 13936.43451
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2187 1.9507817 9143.27586 6.8064618 1982-1999 –> 2000-2009 3.3420462 13386.72444
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2187 1.9802892 9208.94148 7.1888937 1982-1999 –> 2000-2009 3.4185907 13532.78815
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2187 1.9930949 9237.13534 7.3274109 1982-1999 –> 2000-2009 3.4509053 13593.55893
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2187 1.8556907 8924.69312 8.9229025 1982-1999 –> 2000-2009 3.0426446 12784.10817
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2187 2.0027796 9258.33758 7.4589362 1982-1999 –> 2000-2009 3.4780093 13643.48254
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2187 1.9570755 9157.36493 12.2136340 1982-1999 –> 2000-2009 3.0256410 12762.71317
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2187 2.0068162 9265.14452 12.0038632 1982-1999 –> 2000-2009 3.1953719 13125.82056
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2187 1.9970253 9245.75246 11.7160993 1982-1999 –> 2000-2009 3.1651708 13066.54512
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1909 3.0764794 9722.12189 11.1671310 2000-2009 –> 2010-2019 5.0272611 18865.39774
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1909 3.0280055 9661.48534 9.5961133 2000-2009 –> 2010-2019 5.1358759 19143.51879
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1909 2.8745259 9462.88676 11.4869554 2000-2009 –> 2010-2019 4.9061871 18783.85045
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1909 3.0812845 9728.08044 10.6639425 2000-2009 –> 2010-2019 5.0615736 18937.02192
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1909 3.0846951 9732.30419 10.3982611 2000-2009 –> 2010-2019 5.0777900 18969.43952
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1909 2.8610017 9444.88124 10.9298764 2000-2009 –> 2010-2019 4.9198408 18823.96874
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1909 2.8555967 9437.66156 10.6384537 2000-2009 –> 2010-2019 4.9293194 18848.25533
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1909 3.0871186 9735.30263 10.2325958 2000-2009 –> 2010-2019 5.0898982 18993.64021
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1909 2.8532316 9434.49797 10.4911801 2000-2009 –> 2010-2019 4.9325868 18856.95611
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1909 3.0173784 9648.06219 8.6826117 2000-2009 –> 2010-2019 5.0144038 18893.81465
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2740 1.8489062 11157.75935 6.0837467 1982-1999 –> 2000-2009 3.2973590 16618.79808
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ sal + temp + aou + nitrate 2740 1.8738414 11229.17125 6.1687858 1982-1999 –> 2000-2009 3.3893206 16825.90748
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2740 1.8737613 11230.93703 6.1503834 1982-1999 –> 2000-2009 3.3640526 16778.65564
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2740 1.8734831 11230.12335 6.1243328 1982-1999 –> 2000-2009 3.3688004 16788.09053
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2740 1.8365585 11121.03932 7.1900237 1982-1999 –> 2000-2009 3.3336799 16682.67661
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2740 1.7576011 10880.22830 9.6056924 1982-1999 –> 2000-2009 3.0737958 16049.80037
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2740 1.8821167 11255.31893 6.2642419 1982-1999 –> 2000-2009 3.3954934 16849.82919
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2740 1.7407084 10827.30427 10.2516333 1982-1999 –> 2000-2009 3.0091771 15884.44810
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2740 1.7686897 10912.69291 10.3694563 1982-1999 –> 2000-2009 3.0878510 16087.11810
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2740 1.6777223 10625.33833 10.0639593 1982-1999 –> 2000-2009 2.9410671 15670.16125
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2738 2.9137404 13640.34775 18.3792299 2000-2009 –> 2010-2019 4.7626465 24798.10710
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 2738 2.9170309 13644.52842 17.7530438 2000-2009 –> 2010-2019 4.9701226 25374.33196
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2738 2.9280362 13667.14925 19.0586309 2000-2009 –> 2010-2019 4.9437290 25298.20937
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2738 2.8984939 13611.61867 18.5068671 2000-2009 –> 2010-2019 4.8620093 25098.95764
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ sal + temp + aou + nitrate 2738 3.0209829 13836.27569 13.7261456 2000-2009 –> 2010-2019 4.8948242 25065.44694
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2738 2.9136785 13640.23149 18.4084509 2000-2009 –> 2010-2019 4.7874398 24871.16852
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2738 2.9138104 13640.47944 18.3546244 2000-2009 –> 2010-2019 4.7872935 24870.60278
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2738 3.0102940 13818.86609 14.4684569 2000-2009 –> 2010-2019 4.8468525 24939.90541
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2738 2.9137366 13640.34061 18.4577726 2000-2009 –> 2010-2019 4.7958533 24895.65954
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2738 3.0342628 13862.29481 18.4453180 2000-2009 –> 2010-2019 4.7749712 24689.59907
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2847 1.8609537 11629.91748 8.3050686 1982-1999 –> 2000-2009 3.7502388 18614.94219
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ sal + temp + aou + nitrate 2847 1.9551323 11909.02299 7.9388390 1982-1999 –> 2000-2009 3.8593916 18918.82632
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2847 1.8723313 11664.62363 8.4017407 1982-1999 –> 2000-2009 3.7734191 18670.77302
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2847 1.8691490 11654.93760 8.3803752 1982-1999 –> 2000-2009 3.7695778 18659.91098
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2847 1.9055019 11764.61643 7.7553765 1982-1999 –> 2000-2009 3.7385565 18647.15281
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2847 1.8397532 11564.67744 7.5113358 1982-1999 –> 2000-2009 3.6943219 18486.79307
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2847 1.8749334 11672.53149 8.4280456 1982-1999 –> 2000-2009 3.7807986 18687.19423
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2847 1.8216916 11508.50083 7.4232855 1982-1999 –> 2000-2009 3.6807221 18438.76728
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2847 1.8401256 11563.82970 7.4951935 1982-1999 –> 2000-2009 3.7004790 18494.50914
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2847 1.6735106 11025.41082 7.6936297 1982-1999 –> 2000-2009 3.3357623 17576.17369
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2790 1.5933206 10530.95426 5.8304583 2000-2009 –> 2010-2019 3.4542744 22160.87173
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2790 1.5110554 10235.14752 5.0126444 2000-2009 –> 2010-2019 3.5073152 22264.70535
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2790 1.5702229 10449.47119 5.2666949 2000-2009 –> 2010-2019 3.5289829 22371.04955
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2790 1.5851933 10502.41844 5.9087151 2000-2009 –> 2010-2019 3.4575246 22167.04207
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2790 1.5890574 10516.00397 5.8761697 2000-2009 –> 2010-2019 3.4582064 22170.94157
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2790 1.5368861 10329.72849 5.1778831 2000-2009 –> 2010-2019 3.4423879 22094.34492
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2790 1.7047778 10908.24293 5.8809368 2000-2009 –> 2010-2019 3.5445310 22472.92038
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2790 1.5840225 10498.29575 5.9159666 2000-2009 –> 2010-2019 3.4589559 22170.82724
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2790 1.6665609 10781.72986 5.8349389 2000-2009 –> 2010-2019 3.4882525 22290.23068
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2790 1.6139010 10602.56759 5.3345838 2000-2009 –> 2010-2019 3.2874116 21627.97841
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1828 1.6892901 7118.51081 7.9545510 1982-1999 –> 2000-2009 3.3304821 11669.54708
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1828 1.6898857 7117.79958 8.0123819 1982-1999 –> 2000-2009 3.3414376 11681.74927
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1828 1.6478057 7027.60855 8.2119844 1982-1999 –> 2000-2009 3.2260759 11485.99362
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1828 1.6514861 7035.76508 8.7698198 1982-1999 –> 2000-2009 3.2765845 11563.44640
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1828 1.6621506 7059.29785 8.2961964 1982-1999 –> 2000-2009 3.2484817 11529.75675
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1828 1.6643599 7064.15405 8.3194211 1982-1999 –> 2000-2009 3.2544212 11540.17947
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1828 1.6595508 7053.57488 8.3552453 1982-1999 –> 2000-2009 3.2365908 11510.11199
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1828 1.6639263 7063.20145 8.3114390 1982-1999 –> 2000-2009 3.2529941 11537.74552
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1828 1.6703303 7075.24546 8.4886525 1982-1999 –> 2000-2009 3.2864921 11587.85803
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1828 1.4427670 6541.79292 6.5424038 1982-1999 –> 2000-2009 2.9234803 10848.95891
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2087 1.3338994 7139.20623 4.8238539 2000-2009 –> 2010-2019 2.9817052 14166.81479
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2087 1.3345431 7141.21993 4.8036816 2000-2009 –> 2010-2019 2.9860292 14176.98500
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2087 1.3358314 7145.24715 4.8415403 2000-2009 –> 2010-2019 2.9979819 14204.54500
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2087 1.3361420 7146.21783 4.8428100 2000-2009 –> 2010-2019 3.0005019 14210.37189
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ sal + temp + nitrate + silicate 2087 1.3355218 7142.27991 4.7423546 2000-2009 –> 2010-2019 3.0650157 14344.78138
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2087 1.3355044 7144.22532 4.7442230 2000-2009 –> 2010-2019 3.0565499 14330.82389
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2087 1.3346648 7141.60061 4.7933497 2000-2009 –> 2010-2019 2.9942156 14195.17549
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ sal + temp + silicate + phosphate 2087 1.3377766 7149.32106 4.7615331 2000-2009 –> 2010-2019 3.0603268 14337.11450
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2087 1.3357466 7144.98217 4.8432024 2000-2009 –> 2010-2019 2.9996728 14208.18362
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2087 1.3528102 7197.96575 4.3787349 2000-2009 –> 2010-2019 2.7955772 13739.75867
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 18514 1.6199154 70415.79884 7.2098279 1982-1999 –> 2000-2009 3.0314361 111440.69548
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 18514 1.4213225 65573.04814 6.6658003 1982-1999 –> 2000-2009 2.7011525 104320.44030
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18514 1.5942876 69825.31399 7.8898248 1982-1999 –> 2000-2009 3.0057167 110848.70328
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 18514 1.4274899 65733.37183 6.8564144 1982-1999 –> 2000-2009 2.7713413 105615.84888
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 18514 1.5942050 69823.39548 7.8885098 1982-1999 –> 2000-2009 3.0047216 110831.74557
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18514 1.5940765 69820.41145 7.8862615 1982-1999 –> 2000-2009 3.0026494 110796.69431
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18514 1.6076539 70134.45753 7.6949114 1982-1999 –> 2000-2009 3.0346783 111413.37753
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18514 1.5940856 69820.62294 7.8863041 1982-1999 –> 2000-2009 3.0027649 110798.66367
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 18514 1.6098260 70182.45221 7.5422301 1982-1999 –> 2000-2009 3.0382731 111482.54484
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 18514 1.6246765 70524.46743 7.4179923 1982-1999 –> 2000-2009 3.0419312 111643.63751
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 18862 1.5701014 70560.84985 8.9696211 2000-2009 –> 2010-2019 3.1900168 140976.64869
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 18862 1.3968109 66149.08443 6.6935780 2000-2009 –> 2010-2019 2.8181334 131722.13256
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 18862 1.4449162 67426.40498 8.2846342 2000-2009 –> 2010-2019 3.0261435 136947.13998
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18862 1.5915895 71073.63264 8.5186960 2000-2009 –> 2010-2019 3.1858771 140898.94663
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + nitrate + silicate + phosphate 18862 1.4453139 67434.78698 7.6724517 2000-2009 –> 2010-2019 2.9871425 136019.22312
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 18862 1.3661318 65311.29232 6.4533723 2000-2009 –> 2010-2019 2.7936216 131044.66415
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 18862 1.5916150 71074.23812 8.5156356 2000-2009 –> 2010-2019 3.1858200 140897.63360
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18862 1.5915603 71072.93953 8.5222767 2000-2009 –> 2010-2019 3.1856368 140893.35098
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 18862 1.3759960 65582.70113 7.1698630 2000-2009 –> 2010-2019 2.8913006 133526.60404
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18862 1.5915678 71073.11906 8.5211313 2000-2009 –> 2010-2019 3.1856534 140893.74199

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 1.6278062 213.24125
Atlantic (-Inf,26] 2000-2009 –> 2010-2019 0.7571747 89.40504
Atlantic (26,26.5] 1982-1999 –> 2000-2009 6.7778993 3065.63017
Atlantic (26,26.5] 2000-2009 –> 2010-2019 7.7356536 3108.24414
Atlantic (26.5,26.75] 1982-1999 –> 2000-2009 5.5024750 3420.19109
Atlantic (26.5,26.75] 2000-2009 –> 2010-2019 6.8296191 3673.62319
Atlantic (26.75,27] 1982-1999 –> 2000-2009 4.1412985 5134.29265
Atlantic (26.75,27] 2000-2009 –> 2010-2019 4.9070818 5323.27998
Atlantic (27,27.25] 1982-1999 –> 2000-2009 3.7145028 6184.03149
Atlantic (27,27.25] 2000-2009 –> 2010-2019 4.1935904 6612.80816
Atlantic (27.25,27.5] 1982-1999 –> 2000-2009 4.4798846 10327.74714
Atlantic (27.25,27.5] 2000-2009 –> 2010-2019 6.0805352 12985.47834
Atlantic (27.5,27.75] 1982-1999 –> 2000-2009 4.9149310 22564.73712
Atlantic (27.5,27.75] 2000-2009 –> 2010-2019 5.7858670 23725.69787
Atlantic (27.75,27.85] 1982-1999 –> 2000-2009 1.9480324 4910.77110
Atlantic (27.75,27.85] 2000-2009 –> 2010-2019 2.6729818 6369.51631
Atlantic (27.85,27.95] 1982-1999 –> 2000-2009 1.9262473 5265.78784
Atlantic (27.85,27.95] 2000-2009 –> 2010-2019 2.0655773 5216.03491
Atlantic (27.95,28.05] 1982-1999 –> 2000-2009 5.3306470 10829.01811
Atlantic (27.95,28.05] 2000-2009 –> 2010-2019 6.3874393 11516.66633
Atlantic (28.05,28.1] 1982-1999 –> 2000-2009 1.7056587 3182.78863
Atlantic (28.05,28.1] 2000-2009 –> 2010-2019 2.1166182 4006.66099
Atlantic (28.1,28.15] 1982-1999 –> 2000-2009 1.3804194 3609.67805
Atlantic (28.1,28.15] 2000-2009 –> 2010-2019 1.6140506 4474.39210
Atlantic (28.15,28.2] 1982-1999 –> 2000-2009 1.1609057 5376.80775
Atlantic (28.15,28.2] 2000-2009 –> 2010-2019 1.2515798 6355.76288
Atlantic (28.2, Inf] 1982-1999 –> 2000-2009 0.7089596 3630.08254
Atlantic (28.2, Inf] 2000-2009 –> 2010-2019 0.7379201 5271.11856
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2009 11.4646134 20282.71610
Indo-Pacific (-Inf,26] 2000-2009 –> 2010-2019 10.8869032 29952.96666
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2009 8.4686210 22153.98771
Indo-Pacific (26,26.5] 2000-2009 –> 2010-2019 8.4450003 24613.00018
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2009 7.9589783 18308.85003
Indo-Pacific (26.5,26.75] 2000-2009 –> 2010-2019 7.9867191 21338.12468
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2009 7.2278460 24654.93238
Indo-Pacific (26.75,27] 2000-2009 –> 2010-2019 7.9025500 28608.90305
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2009 5.6737994 29222.67158
Indo-Pacific (27,27.25] 2000-2009 –> 2010-2019 7.6033264 38055.43740
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2009 5.4629120 35912.14838
Indo-Pacific (27.25,27.5] 2000-2009 –> 2010-2019 6.7318386 47666.16722
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2009 5.0731127 42872.52861
Indo-Pacific (27.5,27.75] 2000-2009 –> 2010-2019 5.8514335 53827.74615
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2009 3.3345104 13376.50726
Indo-Pacific (27.75,27.85] 2000-2009 –> 2010-2019 5.0094737 18911.58635
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2009 3.2260597 16423.54854
Indo-Pacific (27.85,27.95] 2000-2009 –> 2010-2019 4.8425742 24990.19883
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2009 3.7083268 18519.50427
Indo-Pacific (27.95,28.05] 2000-2009 –> 2010-2019 3.4627842 22179.09119
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2009 3.2377040 11495.53470
Indo-Pacific (28.05,28.1] 2000-2009 –> 2010-2019 2.9937576 14191.45542
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2009 2.9634665 109919.23514
Indo-Pacific (28.1, Inf] 2000-2009 –> 2010-2019 3.0449346 137382.00858

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
cd5f759 Donghe-Zhu 2021-03-28
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
cd5f759 Donghe-Zhu 2021-03-28
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
cd5f759 Donghe-Zhu 2021-03-28
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
cd5f759 Donghe-Zhu 2021-03-28
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] 8 6 6 6 10 5 8
(26.5,26.75] 9 4 8 6 6 10 6
(26.75,27] 8 4 8 8 4 10 7
(27,27.25] 8 6 7 6 6 10 7
(27.25,27.5] 9 10 6 5 5 7 7
(27.5,27.75] 6 5 6 9 10 3 9
(27.75,27.85] 8 5 6 7 10 7 7
(27.85,27.95] 7 4 8 8 10 5 7
(27.95,28.05] 7 10 8 7 6 6 6
(28.05,28.1] 7 4 9 7 10 4 7
(28.1,28.15] 8 5 7 8 8 6 8
(28.15,28.2] 8 10 7 7 9 3 4
(28.2, Inf] 9 10 5 5 10 3 5
total 109.00 86.00 99.00 97.00 111.00 86.00 97.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26] 5 5 6 6 9 10 8
(26,26.5] 8 6 6 6 10 5 8
(26.5,26.75] 9 9 8 7 5 5 7
(26.75,27] 9 5 8 6 5 10 6
(27,27.25] 9 7 6 5 5 10 7
(27.25,27.5] 9 10 4 5 4 10 5
(27.5,27.75] 7 7 8 7 10 4 6
(27.75,27.85] 8 5 5 6 10 9 6
(27.85,27.95] 7 5 7 8 10 5 8
(27.95,28.05] 5 10 8 6 8 6 6
(28.05,28.1] 7 5 9 8 8 5 8
(28.1,28.15] 8 4 9 8 8 5 8
(28.15,28.2] 8 10 7 7 9 3 4
(28.2, Inf] 9 10 5 5 10 3 5
total 108.00 98.00 96.00 90.00 111.00 90.00 92.00
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] 8 9 8 8 5 5 7
(26.75,27] 7 10 7 8 6 3 7
(27,27.25] 9 10 8 7 3 4 7
(27.25,27.5] 8 7 8 8 5 7 6
(27.5,27.75] 5 6 6 7 9 10 6
(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 6 8 7 10 7
(28.1, Inf] 6 5 7 7 8 10 6
total 93.00 82.00 88.00 91.00 79.00 65.00 86.00
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 10 8 8 4 4 7
(27,27.25] 8 7 10 8 4 4 8
(27.25,27.5] 6 4 8 6 9 10 6
(27.5,27.75] 7 3 6 5 9 10 8
(27.75,27.85] 8 5 8 7 9 6 7
(27.85,27.95] 9 10 5 6 9 3 6
(27.95,28.05] 9 7 7 8 8 4 7
(28.05,28.1] 5 4 6 5 9 10 9
(28.1, Inf] 6 6 8 6 9 10 4
total 90.00 71.00 88.00 80.00 89.00 84.00 85.00

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
cd5f759 Donghe-Zhu 2021-03-28
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
cd5f759 Donghe-Zhu 2021-03-28
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
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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