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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

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

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

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

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

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

3 Apply predictor threshold

Select combinations with a total number of predictors in the range:

  • Minimum: 2
  • Maximum: 5
lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

  • 112

4 Fit all models

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

  • cstar_tref

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

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # number of observations used for each fitting model
      i_nr_obs = nrow(GLODAP_basin_era_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        #i_predictors <- unique(lm_all$predictors)[1]
        
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        if (i_nr_obs > i_n_predictors) {
          # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
          
          # find max predictor correlation
          i_cor_max <- GLODAP_basin_era_slab %>%
            select(!!!syms(str_split(i_predictors, " ",
                                     simplify = TRUE))) %>%
            correlate(quiet = TRUE) %>%
            select(-term) %>%
            abs() %>%
            max(na.rm = TRUE)
          
          # calculate root mean squared error
          i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                           length(i_lm_fit$residuals))
          
          # calculate maximum residual
          i_resid_max <- max(abs(i_lm_fit$residuals))
          
          # calculate Akaike information criterion aic
          i_aic <- AIC(i_lm_fit)
          
          # collect model coefficients and diagnostics
          coefficients <- tidy(i_lm_fit)
          
          coefficients <- coefficients %>%
            mutate(
              basin = i_basin,
              era = i_era,
              gamma_slab = i_gamma_slab,
              model = i_lm,
              nr_obs = i_nr_obs,
              rmse = i_rmse,
              aic = i_aic,
              resid_max = i_resid_max,
              n_predictors = i_n_predictors,
              na_predictor = anyNA(coefficients$estimate),
              cor_max = i_cor_max
            )
          
          if (exists("lm_all_fitted")) {
            lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
          }
          
          if (!exists("lm_all_fitted")) {
            lm_all_fitted <- coefficients
          }
        }
      }
    }
  }
}

rm(
  i_lm_fit,
  coefficients,
  i_rmse,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  i_lm,
  i_basin,
  i_era,
  i_gamma_slab,
  i_nr_obs,
  i_predictors,
  i_aic,
  i_n_predictors,
  i_resid_max
)

5 Prepare coeffcients

Coefficients are prepared for the mapping of Cant and the chosen target variable.

5.1 Formatting

# select relevant columns
lm_all_fitted <- lm_all_fitted %>%
  select(
    basin,
    gamma_slab,
    era,
    model,
    nr_obs,
    n_predictors,
    term,
    estimate,
    rmse,
    aic,
    resid_max,
    na_predictor,
    cor_max
  )

# set coefficient to zero if not fitted (=NA)
lm_all_fitted <- lm_all_fitted %>%
  mutate(estimate = if_else(is.na(estimate), 0, estimate))

# Prepare model coefficients for mapping of target variable
lm_all_fitted_wide <- lm_all_fitted %>%
  pivot_wider(
    values_from = estimate,
    names_from = term,
    names_prefix = "coeff_",
    values_fill = 0
  )

5.2 Predictor selection

Within each basin and slab, the following number of best linear regression models was selected:

  • 10

The criterion used to select the best models was:

  • rmse

The criterion was summed up for two adjacent eras, and the models with lowest summed values were selected.

Please note, that currently the lm() function produces NAs for some predictors. It is not yet entirely clear when this happens, but presumably it is caused by some form of collinearity between predictors, such that including another predictor does not help to explain the target variable any better. The issues also expresses as exactly identical rmse values of different models. As an interim solution, models with fitted NA predictors were not included.

# remove models with predictors fitted as NA
lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(na_predictor == FALSE)
# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide %>%
  select(basin, gamma_slab, n_predictors, model, era, nr_obs, rmse, aic, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    aic_sum = aic + lag(aic)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na()

# subset models with lowest summed criterion
# chose which criterion is applied

if (params_local$MLR_criterion == "aic") {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
} else {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = rmse_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
}

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab n_predictors model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 26 0.6987083 69.14167 2.2173182 1982-1999 –> 2000-2009 2.2138763 273.9260
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 26 0.6987083 69.14167 2.2173182 1982-1999 –> 2000-2009 2.2138763 273.9260
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 26 0.6987083 69.14167 2.2173182 1982-1999 –> 2000-2009 2.2138763 273.9260
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 26 0.4865676 50.32507 1.1237168 1982-1999 –> 2000-2009 2.1237705 263.1656
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 26 0.4584940 47.23478 1.1190183 1982-1999 –> 2000-2009 2.2860715 271.5155
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 26 0.4584940 47.23478 1.1190183 1982-1999 –> 2000-2009 2.2860715 271.5155
Atlantic (-Inf,26] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 26 0.5133095 53.10723 0.9152479 1982-1999 –> 2000-2009 1.8797173 247.1441
Atlantic (-Inf,26] 4 cstar_tref ~ temp + oxygen + aou + silicate 26 0.5135527 51.13187 0.9115320 1982-1999 –> 2000-2009 2.2338454 267.1209
Atlantic (-Inf,26] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 26 0.5133095 53.10723 0.9152479 1982-1999 –> 2000-2009 1.8797173 247.1441
Atlantic (-Inf,26] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 26 0.5133095 53.10723 0.9152479 1982-1999 –> 2000-2009 1.8797173 247.1441
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 51 0.4665504 80.96802 1.1999270 2000-2009 –> 2010-2019 0.9278469 128.5197
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 51 0.4665504 80.96802 1.1999270 2000-2009 –> 2010-2019 0.9278469 128.5197
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 51 0.4585669 79.20752 1.1603831 2000-2009 –> 2010-2019 0.9174727 126.4890
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 51 0.4609553 79.73739 1.1668857 2000-2009 –> 2010-2019 0.9194428 126.9714
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 51 0.4577744 79.03110 1.1530624 2000-2009 –> 2010-2019 0.9162684 126.2659
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 51 0.4577744 79.03110 1.1530624 2000-2009 –> 2010-2019 0.9162684 126.2659
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 51 0.4577744 79.03110 1.1530624 2000-2009 –> 2010-2019 0.9162684 126.2659
Atlantic (-Inf,26] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 51 0.4032687 66.10020 0.9135637 2000-2009 –> 2010-2019 0.9165782 119.2074
Atlantic (-Inf,26] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 51 0.4032687 66.10020 0.9135637 2000-2009 –> 2010-2019 0.9165782 119.2074
Atlantic (-Inf,26] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 51 0.4032687 66.10020 0.9135637 2000-2009 –> 2010-2019 0.9165782 119.2074
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 195 4.2121666 1128.19712 10.4631952 1982-1999 –> 2000-2009 7.2952003 2877.7866
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 195 4.2121666 1128.19712 10.4631952 1982-1999 –> 2000-2009 7.2952003 2877.7866
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 195 4.2121666 1128.19712 10.4631952 1982-1999 –> 2000-2009 7.2952003 2877.7866
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 195 4.3050687 1136.70533 10.9027558 1982-1999 –> 2000-2009 7.4906122 2908.6022
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 195 4.3272566 1138.71019 11.0127213 1982-1999 –> 2000-2009 7.5320449 2914.7149
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 195 4.3360442 1139.50139 10.9822045 1982-1999 –> 2000-2009 7.5483565 2917.1053
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 195 4.3360442 1139.50139 10.9822045 1982-1999 –> 2000-2009 7.5483565 2917.1053
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 195 4.3360442 1139.50139 10.9822045 1982-1999 –> 2000-2009 7.5483565 2917.1053
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 195 4.5800495 1158.85285 10.2362288 1982-1999 –> 2000-2009 8.2098184 3017.7822
Atlantic (26,26.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 195 4.5249170 1156.12973 12.0222034 1982-1999 –> 2000-2009 8.2642811 3037.3462
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 359 3.5711147 1946.72411 12.5903544 2000-2009 –> 2010-2019 7.7832813 3074.9212
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 359 3.5711147 1946.72411 12.5903544 2000-2009 –> 2010-2019 7.7832813 3074.9212
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 359 3.5711147 1946.72411 12.5903544 2000-2009 –> 2010-2019 7.7832813 3074.9212
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 359 3.5848982 1949.49007 12.5733578 2000-2009 –> 2010-2019 7.8899669 3086.1954
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 359 3.5871576 1949.94245 12.5685911 2000-2009 –> 2010-2019 7.9144142 3088.6526
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 359 3.7496452 1981.75063 12.8302731 2000-2009 –> 2010-2019 8.3164141 3141.4710
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 359 3.5886836 1950.24782 12.5558472 2000-2009 –> 2010-2019 7.9247278 3089.7492
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 359 3.5886836 1950.24782 12.5558472 2000-2009 –> 2010-2019 7.9247278 3089.7492
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 359 3.5886836 1950.24782 12.5558472 2000-2009 –> 2010-2019 7.9247278 3089.7492
Atlantic (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 359 3.8229271 1995.64763 13.7338573 2000-2009 –> 2010-2019 8.3478441 3151.7774
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 266 2.9772616 1349.28940 7.0206396 1982-1999 –> 2000-2009 5.6952281 3187.0816
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 266 2.9772616 1349.28940 7.0206396 1982-1999 –> 2000-2009 5.6952281 3187.0816
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 266 2.9772616 1349.28940 7.0206396 1982-1999 –> 2000-2009 5.6952281 3187.0816
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 266 2.9759262 1349.05073 7.0393155 1982-1999 –> 2000-2009 5.7498404 3202.2060
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 266 2.9763191 1349.12095 7.1250744 1982-1999 –> 2000-2009 5.7840058 3211.4008
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 266 2.9768698 1349.21938 7.1462711 1982-1999 –> 2000-2009 5.7965255 3214.7066
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 266 2.9768698 1349.21938 7.1462711 1982-1999 –> 2000-2009 5.7965255 3214.7066
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 266 3.1255830 1375.15358 10.1985469 1982-1999 –> 2000-2009 5.7614442 3189.8176
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 266 3.1255830 1375.15358 10.1985469 1982-1999 –> 2000-2009 5.7614442 3189.8176
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 266 3.1255830 1375.15358 10.1985469 1982-1999 –> 2000-2009 5.7614442 3189.8176
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 433 4.3897736 2523.85521 11.0515632 2000-2009 –> 2010-2019 7.3670352 3873.1446
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 433 4.3897736 2523.85521 11.0515632 2000-2009 –> 2010-2019 7.3670352 3873.1446
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 433 4.3897736 2523.85521 11.0515632 2000-2009 –> 2010-2019 7.3670352 3873.1446
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 433 4.5002079 2545.37180 11.0513937 2000-2009 –> 2010-2019 7.4761341 3894.4225
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 433 4.5250345 2550.13620 11.0968834 2000-2009 –> 2010-2019 7.5013536 3899.2572
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 433 4.5291329 2550.92019 11.1095627 2000-2009 –> 2010-2019 7.5060027 3900.1396
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 433 4.5291329 2550.92019 11.1095627 2000-2009 –> 2010-2019 7.5060027 3900.1396
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 433 4.3096222 2507.89707 11.0498463 2000-2009 –> 2010-2019 7.4352052 3883.0507
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 433 4.3096222 2507.89707 11.0498463 2000-2009 –> 2010-2019 7.4352052 3883.0507
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 433 4.3096222 2507.89707 11.0498463 2000-2009 –> 2010-2019 7.4352052 3883.0507
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 437 2.3258848 1989.89614 10.1912322 1982-1999 –> 2000-2009 4.0464360 5050.1965
Atlantic (26.75,27] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 437 2.3258848 1989.89614 10.1912322 1982-1999 –> 2000-2009 4.0464360 5050.1965
Atlantic (26.75,27] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 437 2.3258848 1989.89614 10.1912322 1982-1999 –> 2000-2009 4.0464360 5050.1965
Atlantic (26.75,27] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 437 2.3258848 1989.89614 10.1912322 1982-1999 –> 2000-2009 4.0464360 5050.1965
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 437 2.2874229 1977.32245 9.5012148 1982-1999 –> 2000-2009 4.0072407 5038.9602
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 437 2.2874229 1977.32245 9.5012148 1982-1999 –> 2000-2009 4.0072407 5038.9602
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 437 2.2874229 1977.32245 9.5012148 1982-1999 –> 2000-2009 4.0072407 5038.9602
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 437 2.2192662 1950.88462 9.5895072 1982-1999 –> 2000-2009 3.8043227 4885.7187
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 437 2.2192662 1950.88462 9.5895072 1982-1999 –> 2000-2009 3.8043227 4885.7187
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 437 2.2192662 1950.88462 9.5895072 1982-1999 –> 2000-2009 3.8043227 4885.7187
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 796 3.0110279 4025.78231 14.3038724 2000-2009 –> 2010-2019 5.3369127 6015.6785
Atlantic (26.75,27] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 796 3.0110279 4025.78231 14.3038724 2000-2009 –> 2010-2019 5.3369127 6015.6785
Atlantic (26.75,27] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 796 3.0110279 4025.78231 14.3038724 2000-2009 –> 2010-2019 5.3369127 6015.6785
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 796 2.8636822 3947.90654 13.8821051 2000-2009 –> 2010-2019 5.1511051 5925.2290
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 796 2.8636822 3947.90654 13.8821051 2000-2009 –> 2010-2019 5.1511051 5925.2290
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 796 2.8636822 3947.90654 13.8821051 2000-2009 –> 2010-2019 5.1511051 5925.2290
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 796 2.8777666 3955.71724 13.9254924 2000-2009 –> 2010-2019 5.2914306 5979.9911
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 796 2.9964500 4020.05592 14.0893004 2000-2009 –> 2010-2019 5.2157162 5970.9405
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 796 2.9964500 4020.05592 14.0893004 2000-2009 –> 2010-2019 5.2157162 5970.9405
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 796 2.9964500 4020.05592 14.0893004 2000-2009 –> 2010-2019 5.2157162 5970.9405
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 534 2.1918137 2365.51732 9.9205104 1982-1999 –> 2000-2009 3.7044341 5962.4390
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 534 2.1795915 2361.54519 10.2201822 1982-1999 –> 2000-2009 3.5571409 5777.5077
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 534 2.1795915 2361.54519 10.2201822 1982-1999 –> 2000-2009 3.5571409 5777.5077
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 534 2.1795915 2361.54519 10.2201822 1982-1999 –> 2000-2009 3.5571409 5777.5077
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 534 2.1878645 2365.59127 10.0924119 1982-1999 –> 2000-2009 3.5972742 5826.2775
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 534 2.2230194 2382.61561 10.1018365 1982-1999 –> 2000-2009 3.6760617 5902.9374
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 534 2.2315267 2386.69498 10.1078228 1982-1999 –> 2000-2009 3.6973902 5924.2001
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 534 2.2315267 2386.69498 10.1078228 1982-1999 –> 2000-2009 3.6973902 5924.2001
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 534 2.2315267 2386.69498 10.1078228 1982-1999 –> 2000-2009 3.6973902 5924.2001
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 534 2.6509858 2570.65327 12.5638517 1982-1999 –> 2000-2009 4.2369298 6262.1648
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 1084 2.2404859 4837.16868 11.8788182 2000-2009 –> 2010-2019 4.4322996 7202.6860
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1084 2.2339645 4832.84908 11.4935634 2000-2009 –> 2010-2019 4.4135561 7194.3943
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1084 2.2654702 4861.21082 10.6934635 2000-2009 –> 2010-2019 4.6404155 7312.4299
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1084 2.2339645 4832.84908 11.4935634 2000-2009 –> 2010-2019 4.4135561 7194.3943
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1084 2.2339645 4832.84908 11.4935634 2000-2009 –> 2010-2019 4.4135561 7194.3943
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1084 2.2239435 4823.10204 11.2760258 2000-2009 –> 2010-2019 4.4118080 7188.6933
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1084 2.2487572 4847.15759 11.2679049 2000-2009 –> 2010-2019 4.4717765 7229.7732
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1084 2.2531889 4851.42600 11.2583050 2000-2009 –> 2010-2019 4.4847157 7238.1210
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1084 2.2531889 4851.42600 11.2583050 2000-2009 –> 2010-2019 4.4847157 7238.1210
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1084 2.2531889 4851.42600 11.2583050 2000-2009 –> 2010-2019 4.4847157 7238.1210
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate 1226 3.6686880 6678.43054 15.0922088 1982-1999 –> 2000-2009 5.1560949 11553.6057
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1226 3.6634817 6676.94836 14.6638844 1982-1999 –> 2000-2009 4.9798573 11227.0002
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1226 3.6634817 6676.94836 14.6638844 1982-1999 –> 2000-2009 4.9798573 11227.0002
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1226 3.6634817 6676.94836 14.6638844 1982-1999 –> 2000-2009 4.9798573 11227.0002
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1226 3.6135880 6643.32461 14.0194988 1982-1999 –> 2000-2009 4.8586781 11044.2807
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1226 3.4687265 6543.00427 15.3660669 1982-1999 –> 2000-2009 4.7579524 11037.2461
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1226 3.5273438 6584.09391 14.7080632 1982-1999 –> 2000-2009 5.2510796 11856.1660
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1226 3.4735395 6546.40415 15.2642225 1982-1999 –> 2000-2009 4.7786430 11073.4257
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1226 3.4735395 6546.40415 15.2642225 1982-1999 –> 2000-2009 4.7786430 11073.4257
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1226 3.4735395 6546.40415 15.2642225 1982-1999 –> 2000-2009 4.7786430 11073.4257
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate 1645 3.2253845 8533.06937 9.8912852 2000-2009 –> 2010-2019 6.8940725 15211.4999
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1645 3.1350336 8441.59301 8.9810334 2000-2009 –> 2010-2019 6.7985153 15118.5414
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1645 3.1350336 8441.59301 8.9810334 2000-2009 –> 2010-2019 6.7985153 15118.5414
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1645 3.1350336 8441.59301 8.9810334 2000-2009 –> 2010-2019 6.7985153 15118.5414
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1645 3.1971310 8506.12288 9.6884441 2000-2009 –> 2010-2019 6.8107190 15149.4475
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1645 3.0963777 8400.77419 8.8960601 2000-2009 –> 2010-2019 6.5651042 14943.7785
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1645 3.0979778 8402.47392 8.9128976 2000-2009 –> 2010-2019 6.5715173 14948.8781
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1645 3.0979778 8402.47392 8.9128976 2000-2009 –> 2010-2019 6.5715173 14948.8781
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1645 3.0979778 8402.47392 8.9128976 2000-2009 –> 2010-2019 6.5715173 14948.8781
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1645 3.1097254 8412.92608 9.0183388 2000-2009 –> 2010-2019 6.7366857 15063.3077
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2434 2.4481074 11279.78726 18.7421600 1982-1999 –> 2000-2009 4.0929523 21823.5032
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + phosphate_star 2434 2.4698976 11320.92492 16.7871668 1982-1999 –> 2000-2009 4.1194297 21878.2743
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2434 2.5483683 11475.17936 15.2959747 1982-1999 –> 2000-2009 4.0723901 21599.7398
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2434 2.4492495 11282.05792 17.8121100 1982-1999 –> 2000-2009 3.8712952 21026.1241
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2434 2.4481074 11279.78726 18.7421600 1982-1999 –> 2000-2009 4.0929523 21823.5032
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2434 2.4481074 11279.78726 18.7421600 1982-1999 –> 2000-2009 4.0929523 21823.5032
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + oxygen + phosphate 2434 2.4802681 11341.32168 16.4005360 1982-1999 –> 2000-2009 4.1302755 21900.2539
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2434 2.4585077 11300.42425 17.5298502 1982-1999 –> 2000-2009 3.8797455 21041.3684
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2434 2.4585077 11300.42425 17.5298502 1982-1999 –> 2000-2009 3.8797455 21041.3684
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2434 2.4585077 11300.42425 17.5298502 1982-1999 –> 2000-2009 3.8797455 21041.3684
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 2864 2.0768817 12326.08939 9.7450563 2000-2009 –> 2010-2019 4.6638558 23872.4622
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2864 2.0588081 12278.02456 9.7244235 2000-2009 –> 2010-2019 4.6363854 23808.6829
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2864 2.0588081 12278.02456 9.7244235 2000-2009 –> 2010-2019 4.6363854 23808.6829
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2864 2.0588081 12278.02456 9.7244235 2000-2009 –> 2010-2019 4.6363854 23808.6829
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2864 2.3764718 13099.93385 12.4810064 2000-2009 –> 2010-2019 4.8245792 24379.7211
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2864 2.0621401 12287.28732 10.0344514 2000-2009 –> 2010-2019 4.6105084 23762.4667
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2864 2.0682044 12304.10759 9.2632678 2000-2009 –> 2010-2019 4.5174540 23586.1655
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2864 2.0663935 12299.08990 9.2140915 2000-2009 –> 2010-2019 4.5249012 23599.5142
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2864 2.0663935 12299.08990 9.2140915 2000-2009 –> 2010-2019 4.5249012 23599.5142
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2864 2.0663935 12299.08990 9.2140915 2000-2009 –> 2010-2019 4.5249012 23599.5142
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1015 1.0732592 3037.96620 5.4035129 1982-1999 –> 2000-2009 1.7330935 4988.0882
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1015 1.0732592 3037.96620 5.4035129 1982-1999 –> 2000-2009 1.7330935 4988.0882
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1015 1.0732592 3037.96620 5.4035129 1982-1999 –> 2000-2009 1.7330935 4988.0882
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1015 0.9198056 2724.75148 3.9962002 1982-1999 –> 2000-2009 1.6418127 4848.6627
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1015 1.0868867 3063.57940 5.4279354 1982-1999 –> 2000-2009 1.7706597 5082.4815
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1015 0.9198056 2724.75148 3.9962002 1982-1999 –> 2000-2009 1.6418127 4848.6627
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1015 0.9198056 2724.75148 3.9962002 1982-1999 –> 2000-2009 1.6418127 4848.6627
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1015 1.1326704 3147.33869 5.6481941 1982-1999 –> 2000-2009 1.8550917 5272.3568
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1015 1.1326704 3147.33869 5.6481941 1982-1999 –> 2000-2009 1.8550917 5272.3568
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1015 1.1326704 3147.33869 5.6481941 1982-1999 –> 2000-2009 1.8550917 5272.3568
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate 1061 1.3115731 3598.53180 4.8846368 2000-2009 –> 2010-2019 2.4085958 6678.9548
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1061 1.1979664 3408.27472 5.3951070 2000-2009 –> 2010-2019 2.2712256 6446.2409
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1061 1.1979664 3408.27472 5.3951070 2000-2009 –> 2010-2019 2.2712256 6446.2409
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1061 1.1979664 3408.27472 5.3951070 2000-2009 –> 2010-2019 2.2712256 6446.2409
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1061 1.3717855 3695.77976 8.1534242 2000-2009 –> 2010-2019 2.2915911 6420.5312
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1061 1.2387874 3479.37776 5.3974073 2000-2009 –> 2010-2019 2.3256740 6542.9572
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1061 1.3717855 3695.77976 8.1534242 2000-2009 –> 2010-2019 2.2915911 6420.5312
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1061 1.3717855 3695.77976 8.1534242 2000-2009 –> 2010-2019 2.2915911 6420.5312
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1061 1.2929761 3570.22829 5.5437439 2000-2009 –> 2010-2019 2.4256465 6717.5670
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1061 1.2929761 3570.22829 5.5437439 2000-2009 –> 2010-2019 2.4256465 6717.5670
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 883 1.0908703 2673.44482 12.0799454 1982-1999 –> 2000-2009 2.2098926 5845.1790
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 883 1.0908703 2673.44482 12.0799454 1982-1999 –> 2000-2009 2.2098926 5845.1790
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 883 1.0908703 2673.44482 12.0799454 1982-1999 –> 2000-2009 2.2098926 5845.1790
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 883 0.8474205 2227.46961 7.9978561 1982-1999 –> 2000-2009 1.7873954 5039.6787
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 883 0.8474205 2227.46961 7.9978561 1982-1999 –> 2000-2009 1.7873954 5039.6787
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 883 0.8474205 2227.46961 7.9978561 1982-1999 –> 2000-2009 1.7873954 5039.6787
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 883 1.1646554 2789.02837 7.1272880 1982-1999 –> 2000-2009 2.2104382 5821.1866
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 883 1.1774324 2806.29710 7.6770524 1982-1999 –> 2000-2009 2.2238178 5837.6429
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 883 1.1646554 2789.02837 7.1272880 1982-1999 –> 2000-2009 2.2104382 5821.1866
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 883 1.1646554 2789.02837 7.1272880 1982-1999 –> 2000-2009 2.2104382 5821.1866
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1040 1.6145253 3961.79737 10.0335883 2000-2009 –> 2010-2019 2.7053956 6635.2422
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1040 1.6145253 3961.79737 10.0335883 2000-2009 –> 2010-2019 2.7053956 6635.2422
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1040 1.6145253 3961.79737 10.0335883 2000-2009 –> 2010-2019 2.7053956 6635.2422
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1040 1.4948809 3801.64901 9.1499979 2000-2009 –> 2010-2019 2.3423015 6029.1186
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1040 1.6906888 4057.67502 10.1431480 2000-2009 –> 2010-2019 2.8064457 6770.9559
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1040 1.4948809 3801.64901 9.1499979 2000-2009 –> 2010-2019 2.3423015 6029.1186
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1040 1.4948809 3801.64901 9.1499979 2000-2009 –> 2010-2019 2.3423015 6029.1186
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1040 1.7401327 4117.63182 9.4726647 2000-2009 –> 2010-2019 2.9047881 6906.6602
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1040 1.7401327 4117.63182 9.4726647 2000-2009 –> 2010-2019 2.9047881 6906.6602
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1040 1.7401327 4117.63182 9.4726647 2000-2009 –> 2010-2019 2.9047881 6906.6602
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1041 4.1999932 5956.07263 21.0748063 1982-1999 –> 2000-2009 7.8264517 12916.7352
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1041 4.1999932 5956.07263 21.0748063 1982-1999 –> 2000-2009 7.8264517 12916.7352
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1041 4.1999932 5956.07263 21.0748063 1982-1999 –> 2000-2009 7.8264517 12916.7352
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1041 4.1999578 5956.05510 21.0710192 1982-1999 –> 2000-2009 7.9525309 13004.4369
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1041 4.1980652 5955.11667 21.0993510 1982-1999 –> 2000-2009 7.8181564 12911.2700
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1041 4.1986396 5955.40153 21.0886701 1982-1999 –> 2000-2009 7.8181061 12911.1120
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1041 4.1999578 5956.05510 21.0710192 1982-1999 –> 2000-2009 7.9525309 13004.4369
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1041 4.1986339 5955.39871 21.0804178 1982-1999 –> 2000-2009 7.8181374 12911.1353
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1041 4.1986339 5955.39871 21.0804178 1982-1999 –> 2000-2009 7.8181374 12911.1353
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1041 4.1986339 5955.39871 21.0804178 1982-1999 –> 2000-2009 7.8181374 12911.1353
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1311 3.8464312 7266.67302 19.3635120 2000-2009 –> 2010-2019 8.0464244 13222.7456
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1311 3.8464312 7266.67302 19.3635120 2000-2009 –> 2010-2019 8.0464244 13222.7456
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1311 3.8464312 7266.67302 19.3635120 2000-2009 –> 2010-2019 8.0464244 13222.7456
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1311 3.8792380 7288.94158 20.0144303 2000-2009 –> 2010-2019 8.0791958 13244.9967
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1311 3.8623389 7277.49447 19.3127339 2000-2009 –> 2010-2019 8.0604041 13232.6111
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1311 3.8731778 7284.84227 19.2843736 2000-2009 –> 2010-2019 8.0718174 13240.2438
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1311 3.8737398 7285.22274 19.3002607 2000-2009 –> 2010-2019 8.0723737 13240.6214
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1311 3.8737398 7285.22274 19.3002607 2000-2009 –> 2010-2019 8.0723737 13240.6214
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1311 3.8737398 7285.22274 19.3002607 2000-2009 –> 2010-2019 8.0723737 13240.6214
Atlantic (27.95,28.05] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1311 3.8778049 7285.97280 19.5651239 2000-2009 –> 2010-2019 8.0764679 13239.3860
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 595 0.6407021 1172.75998 6.5485308 1982-1999 –> 2000-2009 1.3554845 2763.8429
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 595 0.6407021 1172.75998 6.5485308 1982-1999 –> 2000-2009 1.3554845 2763.8429
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 595 0.6407021 1172.75998 6.5485308 1982-1999 –> 2000-2009 1.3554845 2763.8429
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 595 0.6676843 1219.84843 6.2086559 1982-1999 –> 2000-2009 1.3936148 2831.4647
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 595 0.5327088 953.09832 5.9087175 1982-1999 –> 2000-2009 1.1960354 2435.4026
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + oxygen + aou + phosphate 595 0.6676843 1219.84843 6.2086559 1982-1999 –> 2000-2009 1.3936148 2831.4647
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 595 0.6676843 1219.84843 6.2086559 1982-1999 –> 2000-2009 1.3936148 2831.4647
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 595 0.6676843 1219.84843 6.2086559 1982-1999 –> 2000-2009 1.3936148 2831.4647
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 595 0.5327088 953.09832 5.9087175 1982-1999 –> 2000-2009 1.1960354 2435.4026
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 595 0.5327088 953.09832 5.9087175 1982-1999 –> 2000-2009 1.1960354 2435.4026
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 790 1.1664733 2499.21910 7.0545137 2000-2009 –> 2010-2019 1.8071754 3671.9791
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 790 1.1664733 2499.21910 7.0545137 2000-2009 –> 2010-2019 1.8071754 3671.9791
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 790 1.1664733 2499.21910 7.0545137 2000-2009 –> 2010-2019 1.8071754 3671.9791
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 790 1.1699917 2501.97756 7.1949879 2000-2009 –> 2010-2019 1.8376760 3721.8260
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 790 1.0316516 2305.15734 6.1391174 2000-2009 –> 2010-2019 1.5643605 3258.2557
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + oxygen + aou + phosphate 790 1.1699917 2501.97756 7.1949879 2000-2009 –> 2010-2019 1.8376760 3721.8260
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 790 1.1699917 2501.97756 7.1949879 2000-2009 –> 2010-2019 1.8376760 3721.8260
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 790 1.1699917 2501.97756 7.1949879 2000-2009 –> 2010-2019 1.8376760 3721.8260
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 790 1.0316516 2305.15734 6.1391174 2000-2009 –> 2010-2019 1.5643605 3258.2557
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 790 1.0316516 2305.15734 6.1391174 2000-2009 –> 2010-2019 1.5643605 3258.2557
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 959 0.8327978 2384.59845 7.5542203 1982-1999 –> 2000-2009 1.4714411 4048.4983
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 959 0.8327978 2384.59845 7.5542203 1982-1999 –> 2000-2009 1.4714411 4048.4983
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 959 0.8327978 2384.59845 7.5542203 1982-1999 –> 2000-2009 1.4714411 4048.4983
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 959 0.8147213 2342.50834 7.6467043 1982-1999 –> 2000-2009 1.4979936 4121.2387
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 959 0.8552215 2435.55886 7.5579020 1982-1999 –> 2000-2009 1.5031691 4124.0471
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 959 0.8147213 2342.50834 7.6467043 1982-1999 –> 2000-2009 1.4979936 4121.2387
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 959 0.8147213 2342.50834 7.6467043 1982-1999 –> 2000-2009 1.4979936 4121.2387
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 959 0.6987635 2048.03054 6.8521937 1982-1999 –> 2000-2009 1.2189835 3363.2702
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 959 0.6987635 2048.03054 6.8521937 1982-1999 –> 2000-2009 1.2189835 3363.2702
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 959 0.6987635 2048.03054 6.8521937 1982-1999 –> 2000-2009 1.2189835 3363.2702
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1061 0.9531402 2923.14589 4.9392201 2000-2009 –> 2010-2019 1.7678615 5265.6542
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1061 0.9531402 2923.14589 4.9392201 2000-2009 –> 2010-2019 1.7678615 5265.6542
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1061 0.9531402 2923.14589 4.9392201 2000-2009 –> 2010-2019 1.7678615 5265.6542
Atlantic (28.1,28.15] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 1061 0.9906195 3002.98816 5.5794292 2000-2009 –> 2010-2019 1.8141263 5364.0684
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1061 0.8048415 2564.28035 3.9867737 2000-2009 –> 2010-2019 1.5036050 4612.3109
Atlantic (28.1,28.15] 4 cstar_tref ~ temp + oxygen + aou + phosphate 1061 0.9906195 3002.98816 5.5794292 2000-2009 –> 2010-2019 1.8141263 5364.0684
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 1061 0.9906195 3002.98816 5.5794292 2000-2009 –> 2010-2019 1.8141263 5364.0684
Atlantic (28.1,28.15] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 1061 0.9906195 3002.98816 5.5794292 2000-2009 –> 2010-2019 1.8141263 5364.0684
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1061 0.8048415 2564.28035 3.9867737 2000-2009 –> 2010-2019 1.5036050 4612.3109
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1061 0.8048415 2564.28035 3.9867737 2000-2009 –> 2010-2019 1.5036050 4612.3109
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1667 0.8734430 4293.60966 9.2162370 1982-1999 –> 2000-2009 1.7251067 8097.8350
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1667 0.8734430 4293.60966 9.2162370 1982-1999 –> 2000-2009 1.7251067 8097.8350
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1667 0.8734430 4293.60966 9.2162370 1982-1999 –> 2000-2009 1.7251067 8097.8350
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1667 0.7221335 3659.37329 18.2088194 1982-1999 –> 2000-2009 1.5482754 7371.9580
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1667 0.8959831 4378.55550 9.0810710 1982-1999 –> 2000-2009 1.7606399 8228.3853
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1667 0.7221335 3659.37329 18.2088194 1982-1999 –> 2000-2009 1.5482754 7371.9580
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1667 0.7221335 3659.37329 18.2088194 1982-1999 –> 2000-2009 1.5482754 7371.9580
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1667 0.7651903 3852.46004 11.6924731 1982-1999 –> 2000-2009 1.6044413 7612.4639
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1667 0.7651903 3852.46004 11.6924731 1982-1999 –> 2000-2009 1.6044413 7612.4639
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1667 0.7651903 3852.46004 11.6924731 1982-1999 –> 2000-2009 1.6044413 7612.4639
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2238 0.8687676 5735.48687 5.2450626 2000-2009 –> 2010-2019 1.7422106 10029.0965
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2238 0.8687676 5735.48687 5.2450626 2000-2009 –> 2010-2019 1.7422106 10029.0965
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2238 0.8687676 5735.48687 5.2450626 2000-2009 –> 2010-2019 1.7422106 10029.0965
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2238 0.6019360 4093.13293 2.8170056 2000-2009 –> 2010-2019 1.3240696 7752.5062
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2238 0.8911532 5849.35942 5.1983598 2000-2009 –> 2010-2019 1.7871363 10227.9149
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2238 0.6019360 4093.13293 2.8170056 2000-2009 –> 2010-2019 1.3240696 7752.5062
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2238 0.6019360 4093.13293 2.8170056 2000-2009 –> 2010-2019 1.3240696 7752.5062
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2238 0.7454151 5050.05712 3.4737189 2000-2009 –> 2010-2019 1.5106053 8902.5172
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2238 0.7454151 5050.05712 3.4737189 2000-2009 –> 2010-2019 1.5106053 8902.5172
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2238 0.7454151 5050.05712 3.4737189 2000-2009 –> 2010-2019 1.5106053 8902.5172
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2311 0.8851602 6008.51191 4.6384145 1982-1999 –> 2000-2009 1.7423575 12273.4070
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2311 0.8851602 6008.51191 4.6384145 1982-1999 –> 2000-2009 1.7423575 12273.4070
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2311 0.8851602 6008.51191 4.6384145 1982-1999 –> 2000-2009 1.7423575 12273.4070
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2311 0.8862703 6014.30480 4.6236874 1982-1999 –> 2000-2009 1.7434841 12279.2950
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2311 0.8892097 6029.60871 4.5903959 1982-1999 –> 2000-2009 1.7467003 12296.1944
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2311 0.8892097 6029.60871 4.5903959 1982-1999 –> 2000-2009 1.7467003 12296.1944
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2311 0.8892097 6029.60871 4.5903959 1982-1999 –> 2000-2009 1.7467003 12296.1944
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2311 0.8650146 5902.10277 5.9710497 1982-1999 –> 2000-2009 1.7452142 12297.8653
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2311 0.8650146 5902.10277 5.9710497 1982-1999 –> 2000-2009 1.7452142 12297.8653
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2311 0.8650146 5902.10277 5.9710497 1982-1999 –> 2000-2009 1.7452142 12297.8653
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4366 0.6795930 9031.33911 4.7237651 2000-2009 –> 2010-2019 1.6238272 15338.4578
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 4366 0.6795930 9031.33911 4.7237651 2000-2009 –> 2010-2019 1.6238272 15338.4578
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 4366 0.6795930 9031.33911 4.7237651 2000-2009 –> 2010-2019 1.6238272 15338.4578
Atlantic (28.2, Inf] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4366 0.7098172 9409.29796 4.2065339 2000-2009 –> 2010-2019 1.6597042 15742.0043
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4366 0.7095127 9407.55125 3.9551698 2000-2009 –> 2010-2019 1.5745273 15309.6540
Atlantic (28.2, Inf] 4 cstar_tref ~ temp + oxygen + aou + phosphate 4366 0.7098172 9409.29796 4.2065339 2000-2009 –> 2010-2019 1.6597042 15742.0043
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 4366 0.7098172 9409.29796 4.2065339 2000-2009 –> 2010-2019 1.6597042 15742.0043
Atlantic (28.2, Inf] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 4366 0.7098172 9409.29796 4.2065339 2000-2009 –> 2010-2019 1.6597042 15742.0043
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4366 0.7095127 9407.55125 3.9551698 2000-2009 –> 2010-2019 1.5745273 15309.6540
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4366 0.7095127 9407.55125 3.9551698 2000-2009 –> 2010-2019 1.5745273 15309.6540
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1872 5.6822839 11831.15640 22.8801608 1982-1999 –> 2000-2009 10.8872183 18908.9484
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate 1872 5.9373577 11993.55905 24.3470956 1982-1999 –> 2000-2009 11.2671157 19123.9056
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 1872 5.9373577 11993.55905 24.3470956 1982-1999 –> 2000-2009 11.2671157 19123.9056
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 1872 5.9373577 11993.55905 24.3470956 1982-1999 –> 2000-2009 11.2671157 19123.9056
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1872 5.6822839 11831.15640 22.8801608 1982-1999 –> 2000-2009 10.8872183 18908.9484
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1872 5.6822839 11831.15640 22.8801608 1982-1999 –> 2000-2009 10.8872183 18908.9484
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1872 5.9122176 11979.67244 25.2385828 1982-1999 –> 2000-2009 10.9729889 18992.8055
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1872 6.0106677 12041.50403 22.8742380 1982-1999 –> 2000-2009 10.9917060 19018.0801
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1872 5.9122176 11979.67244 25.2385828 1982-1999 –> 2000-2009 10.9729889 18992.8055
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1872 5.9122176 11979.67244 25.2385828 1982-1999 –> 2000-2009 10.9729889 18992.8055
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 2893 5.4886471 18073.69522 23.3309144 2000-2009 –> 2010-2019 11.4260048 30067.2543
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2893 5.1249717 17679.02558 23.0380319 2000-2009 –> 2010-2019 10.8072555 29510.1820
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate 2893 5.4886471 18073.69522 23.3309144 2000-2009 –> 2010-2019 11.4260048 30067.2543
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 2893 5.4886471 18073.69522 23.3309144 2000-2009 –> 2010-2019 11.4260048 30067.2543
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 2893 5.4886471 18073.69522 23.3309144 2000-2009 –> 2010-2019 11.4260048 30067.2543
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2893 5.1249717 17679.02558 23.0380319 2000-2009 –> 2010-2019 10.8072555 29510.1820
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2893 5.1249717 17679.02558 23.0380319 2000-2009 –> 2010-2019 10.8072555 29510.1820
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2893 5.3226609 17898.01610 24.4672557 2000-2009 –> 2010-2019 11.2348784 29877.6885
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2893 5.3226609 17898.01610 24.4672557 2000-2009 –> 2010-2019 11.2348784 29877.6885
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2893 5.3226609 17898.01610 24.4672557 2000-2009 –> 2010-2019 11.2348784 29877.6885
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2139 4.1702624 12193.11301 15.3930835 1982-1999 –> 2000-2009 7.9514575 21185.2773
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2139 4.1702624 12193.11301 15.3930835 1982-1999 –> 2000-2009 7.9514575 21185.2773
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2139 4.1702624 12193.11301 15.3930835 1982-1999 –> 2000-2009 7.9514575 21185.2773
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2139 4.7771447 12774.33952 18.6855989 1982-1999 –> 2000-2009 8.9352076 22076.8038
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2139 4.1791157 12202.18542 17.9668003 1982-1999 –> 2000-2009 8.0345264 21257.8323
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2139 4.3520488 12375.64574 18.1417394 1982-1999 –> 2000-2009 8.2915588 21501.7690
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2139 4.7771447 12774.33952 18.6855989 1982-1999 –> 2000-2009 8.9352076 22076.8038
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2139 4.3843700 12407.29961 18.1148196 1982-1999 –> 2000-2009 8.3367729 21544.0941
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2139 4.3843700 12407.29961 18.1148196 1982-1999 –> 2000-2009 8.3367729 21544.0941
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2139 4.3843700 12407.29961 18.1148196 1982-1999 –> 2000-2009 8.3367729 21544.0941
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1947 3.6532273 10584.45579 20.9867736 2000-2009 –> 2010-2019 7.8234897 22777.5688
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1947 3.6532273 10584.45579 20.9867736 2000-2009 –> 2010-2019 7.8234897 22777.5688
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1947 3.6532273 10584.45579 20.9867736 2000-2009 –> 2010-2019 7.8234897 22777.5688
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1947 3.6623177 10594.13321 21.0767765 2000-2009 –> 2010-2019 7.8414334 22796.3186
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1947 3.6740110 10606.54643 20.9930871 2000-2009 –> 2010-2019 8.0260598 22982.1922
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1947 3.6807990 10613.73430 20.9801522 2000-2009 –> 2010-2019 8.0651690 23021.0339
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1947 3.6807990 10613.73430 20.9801522 2000-2009 –> 2010-2019 8.0651690 23021.0339
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1947 3.6807990 10613.73430 20.9801522 2000-2009 –> 2010-2019 8.0651690 23021.0339
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1947 4.0070421 10944.42633 21.8072971 2000-2009 –> 2010-2019 8.7014939 23644.0647
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1947 4.0070421 10944.42633 21.8072971 2000-2009 –> 2010-2019 8.7014939 23644.0647
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1901 4.2351957 10896.72338 17.3937161 1982-1999 –> 2000-2009 7.4098743 17881.5079
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1901 4.2351957 10896.72338 17.3937161 1982-1999 –> 2000-2009 7.4098743 17881.5079
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1901 4.2351957 10896.72338 17.3937161 1982-1999 –> 2000-2009 7.4098743 17881.5079
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1901 4.5576256 11175.68470 14.7702482 1982-1999 –> 2000-2009 7.9690576 18355.2441
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1901 4.4528143 11087.22944 17.2381741 1982-1999 –> 2000-2009 7.8462385 18252.4563
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1901 4.5576256 11175.68470 14.7702482 1982-1999 –> 2000-2009 7.9690576 18355.2441
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1901 4.5576256 11175.68470 14.7702482 1982-1999 –> 2000-2009 7.9690576 18355.2441
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1901 4.5666130 11183.17465 18.0583552 1982-1999 –> 2000-2009 8.0054122 18384.3715
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1901 4.5666130 11183.17465 18.0583552 1982-1999 –> 2000-2009 8.0054122 18384.3715
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1901 4.5666130 11183.17465 18.0583552 1982-1999 –> 2000-2009 8.0054122 18384.3715
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1785 3.0303394 9037.57903 15.9688736 2000-2009 –> 2010-2019 7.2655351 19934.3024
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1785 3.0303394 9037.57903 15.9688736 2000-2009 –> 2010-2019 7.2655351 19934.3024
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1785 3.0303394 9037.57903 15.9688736 2000-2009 –> 2010-2019 7.2655351 19934.3024
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1785 3.1784717 9207.96026 17.5350490 2000-2009 –> 2010-2019 7.6312860 20295.1897
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1785 3.2232603 9257.91483 18.0029415 2000-2009 –> 2010-2019 7.7835268 20435.8019
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1785 3.2280591 9263.22595 17.9863256 2000-2009 –> 2010-2019 7.7953185 20446.9388
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1785 3.2280591 9263.22595 17.9863256 2000-2009 –> 2010-2019 7.7953185 20446.9388
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1785 2.9887080 8988.19359 17.6209674 2000-2009 –> 2010-2019 7.5553210 20171.3682
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1785 2.9887080 8988.19359 17.6209674 2000-2009 –> 2010-2019 7.5553210 20171.3682
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1785 2.9887080 8988.19359 17.6209674 2000-2009 –> 2010-2019 7.5553210 20171.3682
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 2866 4.2437161 16430.61384 13.8117555 1982-1999 –> 2000-2009 7.4474419 26574.1321
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2866 4.2203297 16400.93839 14.7620525 1982-1999 –> 2000-2009 7.3794116 26491.4193
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + oxygen + aou + phosphate 2866 4.2437161 16430.61384 13.8117555 1982-1999 –> 2000-2009 7.4474419 26574.1321
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 2866 4.2437161 16430.61384 13.8117555 1982-1999 –> 2000-2009 7.4474419 26574.1321
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 2866 4.2437161 16430.61384 13.8117555 1982-1999 –> 2000-2009 7.4474419 26574.1321
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2866 4.2203297 16400.93839 14.7620525 1982-1999 –> 2000-2009 7.3794116 26491.4193
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2866 4.2203297 16400.93839 14.7620525 1982-1999 –> 2000-2009 7.3794116 26491.4193
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2866 4.2380743 16424.98847 15.5224483 1982-1999 –> 2000-2009 7.3779392 26491.5384
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2866 4.2380743 16424.98847 15.5224483 1982-1999 –> 2000-2009 7.3779392 26491.5384
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2866 4.2380743 16424.98847 15.5224483 1982-1999 –> 2000-2009 7.3779392 26491.5384
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2275 3.5556056 12241.96088 12.2803939 2000-2009 –> 2010-2019 7.7759353 28642.8993
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2275 3.5556056 12241.96088 12.2803939 2000-2009 –> 2010-2019 7.7759353 28642.8993
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2275 3.5556056 12241.96088 12.2803939 2000-2009 –> 2010-2019 7.7759353 28642.8993
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2275 3.6557549 12368.34726 15.0871224 2000-2009 –> 2010-2019 7.8938293 28793.3357
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2275 3.6534193 12365.43935 13.6360052 2000-2009 –> 2010-2019 8.0072254 28944.8561
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2275 3.6557549 12368.34726 15.0871224 2000-2009 –> 2010-2019 7.8938293 28793.3357
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2275 3.6557549 12368.34726 15.0871224 2000-2009 –> 2010-2019 7.8938293 28793.3357
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2275 3.5292919 12208.16289 14.2256050 2000-2009 –> 2010-2019 7.9128368 28826.5990
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2275 3.5292919 12208.16289 14.2256050 2000-2009 –> 2010-2019 7.9128368 28826.5990
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2275 3.5292919 12208.16289 14.2256050 2000-2009 –> 2010-2019 7.9128368 28826.5990
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3705 3.6826305 20188.21280 11.9756687 1982-1999 –> 2000-2009 6.6055492 31653.2443
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 3705 3.6826305 20188.21280 11.9756687 1982-1999 –> 2000-2009 6.6055492 31653.2443
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 3705 3.6826305 20188.21280 11.9756687 1982-1999 –> 2000-2009 6.6055492 31653.2443
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 3705 3.7519112 20324.32091 12.4156537 1982-1999 –> 2000-2009 6.7286779 31871.2525
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3705 3.5173624 19847.97597 12.5447011 1982-1999 –> 2000-2009 6.4689804 31357.9141
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + oxygen + aou + phosphate 3705 3.7519112 20324.32091 12.4156537 1982-1999 –> 2000-2009 6.7286779 31871.2525
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 3705 3.7519112 20324.32091 12.4156537 1982-1999 –> 2000-2009 6.7286779 31871.2525
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 3705 3.7519112 20324.32091 12.4156537 1982-1999 –> 2000-2009 6.7286779 31871.2525
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3705 3.5173624 19847.97597 12.5447011 1982-1999 –> 2000-2009 6.4689804 31357.9141
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 3705 3.5173624 19847.97597 12.5447011 1982-1999 –> 2000-2009 6.4689804 31357.9141
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3299 4.0577959 18617.57877 19.8533642 2000-2009 –> 2010-2019 7.7404263 38805.7916
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 3299 4.0577959 18617.57877 19.8533642 2000-2009 –> 2010-2019 7.7404263 38805.7916
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 3299 4.0577959 18617.57877 19.8533642 2000-2009 –> 2010-2019 7.7404263 38805.7916
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 3299 4.1465717 18758.37243 18.4409321 2000-2009 –> 2010-2019 7.8984829 39082.6933
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3299 3.7181208 18040.77134 16.0517451 2000-2009 –> 2010-2019 7.2354832 37888.7473
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + oxygen + aou + phosphate 3299 4.1465717 18758.37243 18.4409321 2000-2009 –> 2010-2019 7.8984829 39082.6933
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 3299 4.1465717 18758.37243 18.4409321 2000-2009 –> 2010-2019 7.8984829 39082.6933
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 3299 4.1465717 18758.37243 18.4409321 2000-2009 –> 2010-2019 7.8984829 39082.6933
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3299 3.7181208 18040.77134 16.0517451 2000-2009 –> 2010-2019 7.2354832 37888.7473
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 3299 3.7181208 18040.77134 16.0517451 2000-2009 –> 2010-2019 7.2354832 37888.7473
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4717 2.9771414 23692.41654 11.0261154 1982-1999 –> 2000-2009 5.3593669 37620.3642
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 4717 2.9771414 23692.41654 11.0261154 1982-1999 –> 2000-2009 5.3593669 37620.3642
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 4717 2.9771414 23692.41654 11.0261154 1982-1999 –> 2000-2009 5.3593669 37620.3642
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4717 2.9797311 23698.61932 10.9030999 1982-1999 –> 2000-2009 5.3706774 37646.7984
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4717 2.7781045 23039.63341 9.6159708 1982-1999 –> 2000-2009 5.0244379 36610.2324
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + oxygen + aou + phosphate 4717 2.9797311 23698.61932 10.9030999 1982-1999 –> 2000-2009 5.3706774 37646.7984
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 4717 2.9797311 23698.61932 10.9030999 1982-1999 –> 2000-2009 5.3706774 37646.7984
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 4717 2.9797311 23698.61932 10.9030999 1982-1999 –> 2000-2009 5.3706774 37646.7984
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4717 2.7781045 23039.63341 9.6159708 1982-1999 –> 2000-2009 5.0244379 36610.2324
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4717 2.7781045 23039.63341 9.6159708 1982-1999 –> 2000-2009 5.0244379 36610.2324
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4380 3.3158089 22944.52774 15.1365225 2000-2009 –> 2010-2019 6.8118097 48152.5739
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4380 3.2683330 22818.19500 14.7103876 2000-2009 –> 2010-2019 6.7502185 47988.0737
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 4380 2.8740352 21691.98274 11.6788375 2000-2009 –> 2010-2019 5.9726227 45761.5969
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4380 3.2720282 22828.09338 14.8560785 2000-2009 –> 2010-2019 6.7870846 48087.4219
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4380 3.2720282 22828.09338 14.8560785 2000-2009 –> 2010-2019 6.7870846 48087.4219
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4380 3.2720282 22828.09338 14.8560785 2000-2009 –> 2010-2019 6.7870846 48087.4219
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4380 3.2608540 22798.12623 14.3919287 2000-2009 –> 2010-2019 6.0389584 45837.7596
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + oxygen + aou + silicate 4380 3.2969240 22892.49320 15.3937428 2000-2009 –> 2010-2019 6.4210326 47037.4908
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4380 3.2608540 22798.12623 14.3919287 2000-2009 –> 2010-2019 6.0389584 45837.7596
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4380 3.2608540 22798.12623 14.3919287 2000-2009 –> 2010-2019 6.0389584 45837.7596
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5654 3.0263866 28581.48987 19.0026905 1982-1999 –> 2000-2009 5.2316982 43524.9483
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 5654 3.0059510 28504.87389 9.5282956 1982-1999 –> 2000-2009 5.3075226 43736.9714
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 5654 3.0263866 28581.48987 19.0026905 1982-1999 –> 2000-2009 5.2316982 43524.9483
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 5654 3.0263866 28581.48987 19.0026905 1982-1999 –> 2000-2009 5.2316982 43524.9483
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 5654 2.8521390 27910.92404 19.1656654 1982-1999 –> 2000-2009 5.1576728 43154.6420
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 5654 3.0135913 28533.57915 9.6219707 1982-1999 –> 2000-2009 5.3375570 43831.0943
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5654 3.0135913 28533.57915 9.6219707 1982-1999 –> 2000-2009 5.3375570 43831.0943
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5654 2.8773091 28010.27904 24.8611792 1982-1999 –> 2000-2009 4.9751708 42616.2738
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5654 2.8773091 28010.27904 24.8611792 1982-1999 –> 2000-2009 4.9751708 42616.2738
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 5654 2.8773091 28010.27904 24.8611792 1982-1999 –> 2000-2009 4.9751708 42616.2738
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4866 2.6254661 23217.00496 13.0172487 2000-2009 –> 2010-2019 5.6587725 51824.3209
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4866 2.6254661 23217.00496 13.0172487 2000-2009 –> 2010-2019 5.6587725 51824.3209
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4866 2.6254661 23217.00496 13.0172487 2000-2009 –> 2010-2019 5.6587725 51824.3209
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4866 2.6169790 23185.49419 12.5242942 2000-2009 –> 2010-2019 5.6229300 51690.3681
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4866 2.6175753 23187.71135 12.5830541 2000-2009 –> 2010-2019 5.6390648 51750.8887
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 4866 2.6406992 23273.30723 12.4994113 2000-2009 –> 2010-2019 5.4928382 51184.2313
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4866 2.6161546 23182.42798 12.4685846 2000-2009 –> 2010-2019 5.6297459 51716.0071
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4866 2.6161546 23182.42798 12.4685846 2000-2009 –> 2010-2019 5.6297459 51716.0071
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate 4866 2.8069056 23865.33815 8.5937438 2000-2009 –> 2010-2019 5.8541589 52522.5283
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4866 2.6161546 23182.42798 12.4685846 2000-2009 –> 2010-2019 5.6297459 51716.0071
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2196 2.2008118 9710.50312 10.4253247 1982-1999 –> 2000-2009 3.8172501 14920.6149
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2196 2.2008118 9710.50312 10.4253247 1982-1999 –> 2000-2009 3.8172501 14920.6149
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2196 2.2008118 9710.50312 10.4253247 1982-1999 –> 2000-2009 3.8172501 14920.6149
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2196 2.3244657 9948.58704 11.8291448 1982-1999 –> 2000-2009 3.9422031 15158.8968
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2196 2.3202416 9942.59848 11.6925947 1982-1999 –> 2000-2009 3.8562712 15013.1080
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + oxygen + aou + phosphate 2196 2.3244657 9948.58704 11.8291448 1982-1999 –> 2000-2009 3.9422031 15158.8968
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 2196 2.3244657 9948.58704 11.8291448 1982-1999 –> 2000-2009 3.9422031 15158.8968
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 2196 2.3244657 9948.58704 11.8291448 1982-1999 –> 2000-2009 3.9422031 15158.8968
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2196 2.3202416 9942.59848 11.6925947 1982-1999 –> 2000-2009 3.8562712 15013.1080
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2196 2.3202416 9942.59848 11.6925947 1982-1999 –> 2000-2009 3.8562712 15013.1080
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1929 2.4934912 9013.25710 10.5369790 2000-2009 –> 2010-2019 4.8283160 18983.3737
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1929 2.4934912 9013.25710 10.5369790 2000-2009 –> 2010-2019 4.8283160 18983.3737
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1929 2.4934912 9013.25710 10.5369790 2000-2009 –> 2010-2019 4.8283160 18983.3737
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1929 2.5073628 9034.66012 9.9861229 2000-2009 –> 2010-2019 4.8617211 19041.3680
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1929 2.5117660 9041.42921 9.8162742 2000-2009 –> 2010-2019 4.8733691 19061.6314
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1929 2.8110038 9475.66847 17.5332143 2000-2009 –> 2010-2019 5.0118156 19186.1716
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1929 2.8110038 9475.66847 17.5332143 2000-2009 –> 2010-2019 5.0118156 19186.1716
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1929 2.5144202 9045.50382 9.7291295 2000-2009 –> 2010-2019 4.8784939 19070.2983
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1929 2.5144202 9045.50382 9.7291295 2000-2009 –> 2010-2019 4.8784939 19070.2983
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1929 2.5144202 9045.50382 9.7291295 2000-2009 –> 2010-2019 4.8784939 19070.2983
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2633 1.9048340 10879.51369 8.6514753 1982-1999 –> 2000-2009 3.3754351 16227.9402
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2633 1.9048340 10879.51369 8.6514753 1982-1999 –> 2000-2009 3.3754351 16227.9402
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2633 1.9048340 10879.51369 8.6514753 1982-1999 –> 2000-2009 3.3754351 16227.9402
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2633 1.9436110 10983.63790 9.5632442 1982-1999 –> 2000-2009 3.4163184 16334.2951
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2633 1.9132780 10902.80597 9.1535103 1982-1999 –> 2000-2009 3.3474582 16177.1023
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate 2633 1.9436110 10983.63790 9.5632442 1982-1999 –> 2000-2009 3.4163184 16334.2951
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 2633 1.9436110 10983.63790 9.5632442 1982-1999 –> 2000-2009 3.4163184 16334.2951
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 2633 1.9436110 10983.63790 9.5632442 1982-1999 –> 2000-2009 3.4163184 16334.2951
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2633 1.9132780 10902.80597 9.1535103 1982-1999 –> 2000-2009 3.3474582 16177.1023
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2633 1.9132780 10902.80597 9.1535103 1982-1999 –> 2000-2009 3.3474582 16177.1023
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2352 3.3320991 12350.43280 12.8043059 2000-2009 –> 2010-2019 5.4091529 23685.7483
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2352 3.3320991 12350.43280 12.8043059 2000-2009 –> 2010-2019 5.4091529 23685.7483
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2352 3.3320991 12350.43280 12.8043059 2000-2009 –> 2010-2019 5.4091529 23685.7483
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2352 3.4602416 12527.94281 12.2401246 2000-2009 –> 2010-2019 5.3650756 23407.4565
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2352 3.3530878 12379.97018 12.6031341 2000-2009 –> 2010-2019 5.4537076 23774.6966
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2352 3.4602416 12527.94281 12.2401246 2000-2009 –> 2010-2019 5.3650756 23407.4565
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2352 3.4602416 12527.94281 12.2401246 2000-2009 –> 2010-2019 5.3650756 23407.4565
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2352 3.4418767 12502.91022 11.7228160 2000-2009 –> 2010-2019 5.3551547 23405.7162
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2352 3.4418767 12502.91022 11.7228160 2000-2009 –> 2010-2019 5.3551547 23405.7162
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2352 3.4418767 12502.91022 11.7228160 2000-2009 –> 2010-2019 5.3551547 23405.7162
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2926 1.7066174 11445.60009 10.2618901 1982-1999 –> 2000-2009 3.3595364 18369.2470
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2926 1.7066174 11445.60009 10.2618901 1982-1999 –> 2000-2009 3.3595364 18369.2470
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2926 1.7066174 11445.60009 10.2618901 1982-1999 –> 2000-2009 3.3595364 18369.2470
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2926 1.7270870 11513.37277 11.5148887 1982-1999 –> 2000-2009 3.3826378 18440.7408
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2926 1.6379271 11205.18929 9.6731446 1982-1999 –> 2000-2009 3.1654735 17845.1837
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + oxygen + aou + phosphate 2926 1.7270870 11513.37277 11.5148887 1982-1999 –> 2000-2009 3.3826378 18440.7408
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 2926 1.7270870 11513.37277 11.5148887 1982-1999 –> 2000-2009 3.3826378 18440.7408
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 2926 1.7270870 11513.37277 11.5148887 1982-1999 –> 2000-2009 3.3826378 18440.7408
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2926 1.6379271 11205.18929 9.6731446 1982-1999 –> 2000-2009 3.1654735 17845.1837
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2926 1.6379271 11205.18929 9.6731446 1982-1999 –> 2000-2009 3.1654735 17845.1837
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3145 1.4736678 11378.09846 9.5879259 2000-2009 –> 2010-2019 3.2269126 22981.4389
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 3145 1.4736678 11378.09846 9.5879259 2000-2009 –> 2010-2019 3.2269126 22981.4389
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 3145 1.4736678 11378.09846 9.5879259 2000-2009 –> 2010-2019 3.2269126 22981.4389
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3145 1.5425852 11665.58479 10.1169456 2000-2009 –> 2010-2019 3.2492026 23111.1849
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 3145 1.4739302 11379.21853 9.5485982 2000-2009 –> 2010-2019 3.2475391 23050.1386
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 3145 1.5425852 11665.58479 10.1169456 2000-2009 –> 2010-2019 3.2492026 23111.1849
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 3145 1.5425852 11665.58479 10.1169456 2000-2009 –> 2010-2019 3.2492026 23111.1849
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3145 1.5961996 11880.48824 10.3375834 2000-2009 –> 2010-2019 3.2341267 23085.6775
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3145 1.5961996 11880.48824 10.3375834 2000-2009 –> 2010-2019 3.2341267 23085.6775
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 3145 1.5961996 11880.48824 10.3375834 2000-2009 –> 2010-2019 3.2341267 23085.6775
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1646 1.5899131 6211.57818 7.0924822 1982-1999 –> 2000-2009 3.1343160 10366.4667
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1646 1.5899131 6211.57818 7.0924822 1982-1999 –> 2000-2009 3.1343160 10366.4667
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1646 1.5899131 6211.57818 7.0924822 1982-1999 –> 2000-2009 3.1343160 10366.4667
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1646 1.6034508 6239.48999 7.1712774 1982-1999 –> 2000-2009 3.1581753 10409.2592
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1646 1.6070635 6246.89870 7.2017473 1982-1999 –> 2000-2009 3.1653670 10421.8047
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1646 1.6070635 6246.89870 7.2017473 1982-1999 –> 2000-2009 3.1653670 10421.8047
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1646 1.6070635 6246.89870 7.2017473 1982-1999 –> 2000-2009 3.1653670 10421.8047
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1646 1.4954317 6009.89555 7.3348351 1982-1999 –> 2000-2009 2.9364594 10010.0107
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1646 1.4954317 6009.89555 7.3348351 1982-1999 –> 2000-2009 2.9364594 10010.0107
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1646 1.4954317 6009.89555 7.3348351 1982-1999 –> 2000-2009 2.9364594 10010.0107
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1803 1.3088524 6101.24979 6.5941017 2000-2009 –> 2010-2019 2.8987655 12312.8280
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1803 1.3088524 6101.24979 6.5941017 2000-2009 –> 2010-2019 2.8987655 12312.8280
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1803 1.3088524 6101.24979 6.5941017 2000-2009 –> 2010-2019 2.8987655 12312.8280
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1803 1.3088434 6101.22511 6.5828659 2000-2009 –> 2010-2019 2.9122942 12340.7151
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1803 1.3088698 6101.29776 6.5795089 2000-2009 –> 2010-2019 2.9159333 12348.1965
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1803 1.3088698 6101.29776 6.5795089 2000-2009 –> 2010-2019 2.9159333 12348.1965
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1803 1.3088698 6101.29776 6.5795089 2000-2009 –> 2010-2019 2.9159333 12348.1965
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1803 1.3859730 6307.69950 6.7452924 2000-2009 –> 2010-2019 2.8814047 12317.5950
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1803 1.3859730 6307.69950 6.7452924 2000-2009 –> 2010-2019 2.8814047 12317.5950
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1803 1.3859730 6307.69950 6.7452924 2000-2009 –> 2010-2019 2.8814047 12317.5950
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + aou + silicate + phosphate 19259 1.5800945 72288.06748 9.4630717 1982-1999 –> 2000-2009 2.9959453 117275.9310
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 19259 1.5326582 71115.99851 8.7999921 1982-1999 –> 2000-2009 2.8402576 114080.9914
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 19259 1.5326582 71115.99851 8.7999921 1982-1999 –> 2000-2009 2.8402576 114080.9914
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 19259 1.5326582 71115.99851 8.7999921 1982-1999 –> 2000-2009 2.8402576 114080.9914
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 19259 1.5328856 71121.71315 8.8027424 1982-1999 –> 2000-2009 2.8396687 114070.8089
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19259 1.5331400 71128.10654 8.8052272 1982-1999 –> 2000-2009 2.8389172 114057.5974
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 19259 1.5331227 71127.67220 8.8055135 1982-1999 –> 2000-2009 2.8389409 114057.9615
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 19259 1.5331227 71127.67220 8.8055135 1982-1999 –> 2000-2009 2.8389409 114057.9615
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19259 1.5331227 71127.67220 8.8055135 1982-1999 –> 2000-2009 2.8389409 114057.9615
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 19259 1.5412842 71330.17739 8.4479351 1982-1999 –> 2000-2009 2.8601533 114511.6427
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 19574 1.3883679 68408.19401 8.7391845 2000-2009 –> 2010-2019 2.9210260 139524.1925
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 19574 1.3883679 68408.19401 8.7391845 2000-2009 –> 2010-2019 2.9210260 139524.1925
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 19574 1.3883679 68408.19401 8.7391845 2000-2009 –> 2010-2019 2.9210260 139524.1925
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 19574 1.3885810 68414.20407 8.7393905 2000-2009 –> 2010-2019 2.9214666 139535.9172
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19574 1.3888244 68421.06581 8.7404371 2000-2009 –> 2010-2019 2.9219644 139549.1723
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 19574 1.3887997 68420.36924 8.7407568 2000-2009 –> 2010-2019 2.9219224 139548.0414
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 19574 1.3887997 68420.36924 8.7407568 2000-2009 –> 2010-2019 2.9219224 139548.0414
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19574 1.3887997 68420.36924 8.7407568 2000-2009 –> 2010-2019 2.9219224 139548.0414
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 19574 1.4025767 68804.80513 8.7327719 2000-2009 –> 2010-2019 2.9438609 140134.9825
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 19574 1.4243319 69409.36568 8.6185167 2000-2009 –> 2010-2019 2.9951675 141473.0664

5.3.2 per fitting unit

lm_best %>%
  select(-n_predictors) %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab eras rmse_sum_mean ais_sum_mean
Atlantic (-Inf,26] 1982-1999 –> 2000-2009 2.1210540 263.6528
Atlantic (-Inf,26] 2000-2009 –> 2010-2019 0.9191149 124.6920
Atlantic (26,26.5] 1982-1999 –> 2000-2009 7.6027427 2926.3121
Atlantic (26,26.5] 2000-2009 –> 2010-2019 7.9592667 3096.2108
Atlantic (26.5,26.75] 1982-1999 –> 2000-2009 5.7496914 3197.3717
Atlantic (26.5,26.75] 2000-2009 –> 2010-2019 7.4396214 3886.2545
Atlantic (26.75,27] 1982-1999 –> 2000-2009 3.9620434 4997.4823
Atlantic (26.75,27] 2000-2009 –> 2010-2019 5.2402633 5971.5535
Atlantic (27,27.25] 1982-1999 –> 2000-2009 3.6978293 5905.8942
Atlantic (27,27.25] 2000-2009 –> 2010-2019 4.4651115 7223.1128
Atlantic (27.25,27.5] 1982-1999 –> 2000-2009 4.9299306 11239.2576
Atlantic (27.25,27.5] 2000-2009 –> 2010-2019 6.7116679 15057.0292
Atlantic (27.5,27.75] 1982-1999 –> 2000-2009 4.0111484 21499.9007
Atlantic (27.5,27.75] 2000-2009 –> 2010-2019 4.6100257 23782.5407
Atlantic (27.75,27.85] 1982-1999 –> 2000-2009 1.7460654 5040.9805
Atlantic (27.75,27.85] 2000-2009 –> 2010-2019 2.3274013 6525.7362
Atlantic (27.85,27.95] 1982-1999 –> 2000-2009 2.0846996 5595.5776
Atlantic (27.85,27.95] 2000-2009 –> 2010-2019 2.6663901 6548.4019
Atlantic (27.95,28.05] 1982-1999 –> 2000-2009 7.8475091 12931.4867
Atlantic (27.95,28.05] 2000-2009 –> 2010-2019 8.0644280 13234.7339
Atlantic (28.05,28.1] 1982-1999 –> 2000-2009 1.3229019 2692.3595
Atlantic (28.05,28.1] 2000-2009 –> 2010-2019 1.7465312 3567.8008
Atlantic (28.1,28.15] 1982-1999 –> 2000-2009 1.4068424 3872.3069
Atlantic (28.1,28.15] 2000-2009 –> 2010-2019 1.7070905 5109.0169
Atlantic (28.15,28.2] 1982-1999 –> 2000-2009 1.6394110 7747.5156
Atlantic (28.15,28.2] 2000-2009 –> 2010-2019 1.5517793 9028.0275
Atlantic (28.2, Inf] 1982-1999 –> 2000-2009 1.7446300 12288.1695
Atlantic (28.2, Inf] 2000-2009 –> 2010-2019 1.6233881 15491.2353
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2009 11.0373675 19009.5059
Indo-Pacific (-Inf,26] 2000-2009 –> 2010-2019 11.1830421 29843.2629
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2009 8.3061191 21510.1323
Indo-Pacific (26,26.5] 2000-2009 –> 2010-2019 8.0936457 23046.2448
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2009 7.7999271 18211.5827
Indo-Pacific (26.5,26.75] 2000-2009 –> 2010-2019 7.5468018 20194.1881
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2009 7.4061820 26524.5401
Indo-Pacific (26.75,27] 2000-2009 –> 2010-2019 7.8755029 28773.3358
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2009 6.6138300 31651.8485
Indo-Pacific (27,27.25] 2000-2009 –> 2010-2019 7.6521661 38641.4390
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2009 5.2634124 37327.8984
Indo-Pacific (27.25,27.5] 2000-2009 –> 2010-2019 6.4433813 47071.5280
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2009 5.1760916 43297.7468
Indo-Pacific (27.5,27.75] 2000-2009 –> 2010-2019 5.6474547 51776.9000
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2009 3.8789376 15043.6756
Indo-Pacific (27.75,27.85] 2000-2009 –> 2010-2019 4.8879151 19063.6359
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2009 3.3833954 16255.2308
Indo-Pacific (27.85,27.95] 2000-2009 –> 2010-2019 5.3841857 23527.1460
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2009 3.3105581 18240.6255
Indo-Pacific (27.95,28.05] 2000-2009 –> 2010-2019 3.2378265 23058.5042
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2009 3.0866602 10280.4106
Indo-Pacific (28.05,28.1] 2000-2009 –> 2010-2019 2.9000605 12327.6574
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2009 2.8572280 114433.2839
Indo-Pacific (28.1, Inf] 2000-2009 –> 2010-2019 2.9311305 139790.9840

5.4 Target variable coefficients

A data frame to map the target variable is prepared.

# create table with two era belonging to one eras
eras_forward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(era, lead(era), sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_backward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_era <- full_join(eras_backward, eras_forward) %>% 
  filter(str_detect(eras, "NA") == FALSE)

# extend best model selection from eras to era
lm_best_target <- full_join(
  lm_best %>% select(basin, gamma_slab, model, eras),
  eras_era)

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.5 Plot selected model residuals

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

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

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

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

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

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

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

5.6 Cant coeffcients

A data frame of coefficient offsets is prepared to facilitate the direct mapping of Cant.

# pivot long format
lm_best_long <- lm_best_target %>%
  pivot_longer(cols = starts_with("coeff_"),
               names_to = "term",
               values_to = "estimate",
               names_prefix = "coeff_")

# subtract coefficients of adjacent era
lm_best_long <- lm_best_long %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, eras, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term, eras) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot back to wide format
lm_best_cant <- lm_best_long %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

5.7 Write files

lm_best_target %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    era,
    starts_with("coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

lm_best_cant %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    starts_with("delta_coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_cant.csv",
                  sep = ""))

lm_best %>%
  write_csv(paste(path_version_data,
                  "lm_best.csv",
                  sep = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 5).

6.1.1 All models

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

Version Author Date
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
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
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
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 oxygen phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26] 8 8 5 5 6 7 10
(26,26.5] 6 4 6 7 9 10 7
(26.5,26.75] 8 5 6 7 7 10 7
(26.75,27] 10 7 7 6 3 10 3
(27,27.25] 7 4 7 6 9 10 6
(27.25,27.5] 7 5 6 6 10 9 6
(27.5,27.75] 6 5 6 6 10 5 10
(27.75,27.85] 7 6 7 6 10 7 7
(27.85,27.95] 10 7 6 7 6 6 7
(27.95,28.05] 7 5 7 6 10 8 7
(28.05,28.1] 10 7 7 6 3 3 10
(28.1,28.15] 10 6 7 6 7 7 7
(28.15,28.2] 10 6 7 6 7 7 7
(28.2, Inf] 7 6 7 6 7 10 7
total 113.00 81.00 91.00 86.00 104.00 109.00 101.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26] 7 5 7 6 7 10 8
(26,26.5] 7 6 6 5 9 10 7
(26.5,26.75] 8 5 7 6 7 10 7
(26.75,27] 10 6 8 5 4 10 4
(27,27.25] 7 4 6 6 10 10 5
(27.25,27.5] 6 4 6 6 10 10 6
(27.5,27.75] 7 4 7 6 10 9 6
(27.75,27.85] 8 5 7 6 10 7 6
(27.85,27.95] 10 6 7 6 7 7 7
(27.95,28.05] 6 4 6 7 10 9 7
(28.05,28.1] 10 7 7 6 3 3 10
(28.1,28.15] 10 7 7 6 3 3 10
(28.15,28.2] 10 6 7 6 7 7 7
(28.2, Inf] 10 7 7 6 3 3 10
total 116.00 76.00 95.00 83.00 100.00 108.00 100.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26] 10 7 7 5 10 4 4
(26,26.5] 7 5 7 6 10 8 7
(26.5,26.75] 10 6 7 6 7 7 7
(26.75,27] 10 7 7 6 10 3 3
(27,27.25] 10 7 7 6 3 3 10
(27.25,27.5] 10 7 7 6 3 3 10
(27.5,27.75] 8 6 6 6 7 7 10
(27.75,27.85] 10 7 7 6 3 3 10
(27.85,27.95] 10 7 7 6 3 3 10
(27.95,28.05] 10 7 7 6 3 3 10
(28.05,28.1] 7 6 7 6 7 10 7
(28.1, Inf] 6 4 6 6 10 10 6
total 108.00 76.00 82.00 71.00 76.00 64.00 94.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26] 10 7 7 6 10 3 3
(26,26.5] 7 6 6 6 8 10 7
(26.5,26.75] 8 5 6 7 7 10 7
(26.75,27] 10 6 7 6 7 7 7
(27,27.25] 10 7 7 6 3 3 10
(27.25,27.5] 7 6 6 5 6 10 9
(27.5,27.75] 6 5 6 5 10 10 7
(27.75,27.85] 7 6 6 6 10 8 7
(27.85,27.95] 10 6 7 6 7 7 7
(27.95,28.05] 10 6 7 6 7 7 7
(28.05,28.1] 7 6 7 6 7 10 7
(28.1, Inf] 6 4 6 7 9 10 7
total 98.00 70.00 78.00 72.00 91.00 95.00 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
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
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 

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

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