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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

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

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

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

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

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

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 112

4 Fit all models

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

  • cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

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

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

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

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab n_predictors model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 123 1.0373298 370.0748 4.024648 1982-1999 –> 2000-2009 2.373678 1092.9686
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 123 1.0372836 372.0638 4.010956 1982-1999 –> 2000-2009 2.372976 1096.7534
Atlantic (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate 123 1.0373298 370.0748 4.024648 1982-1999 –> 2000-2009 2.373678 1092.9686
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 123 1.0373298 370.0748 4.024648 1982-1999 –> 2000-2009 2.373678 1092.9686
Atlantic (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 123 1.0373298 370.0748 4.024648 1982-1999 –> 2000-2009 2.373678 1092.9686
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 123 1.0372836 372.0638 4.010956 1982-1999 –> 2000-2009 2.372976 1096.7534
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 123 1.0372836 372.0638 4.010956 1982-1999 –> 2000-2009 2.372976 1096.7534
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 123 1.0306965 370.4966 3.625466 1982-1999 –> 2000-2009 2.366884 1095.3404
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 123 1.0306965 370.4966 3.625466 1982-1999 –> 2000-2009 2.366884 1095.3404
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 123 1.0306965 370.4966 3.625466 1982-1999 –> 2000-2009 2.366884 1095.3404
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 107 1.1371667 345.1604 3.199051 2000-2009 –> 2010-2019 2.174450 717.2242
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 107 1.1371667 345.1604 3.199051 2000-2009 –> 2010-2019 2.174450 717.2242
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 107 1.1371667 345.1604 3.199051 2000-2009 –> 2010-2019 2.174450 717.2242
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 107 1.2078499 358.0650 3.541927 2000-2009 –> 2010-2019 2.238546 728.5616
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 107 1.1426679 346.1931 3.375978 2000-2009 –> 2010-2019 2.186077 719.7053
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 107 1.1451135 346.6507 3.438334 2000-2009 –> 2010-2019 2.189876 720.4817
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 107 1.2078499 358.0650 3.541927 2000-2009 –> 2010-2019 2.238546 728.5616
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 107 1.1463671 346.8848 3.464326 2000-2009 –> 2010-2019 2.193043 721.1660
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 107 1.1463671 346.8848 3.464326 2000-2009 –> 2010-2019 2.193043 721.1660
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 107 1.1463671 346.8848 3.464326 2000-2009 –> 2010-2019 2.193043 721.1660
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 821 3.5428368 4420.9085 13.548854 1982-1999 –> 2000-2009 6.989582 12536.8334
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 821 3.5428368 4420.9085 13.548854 1982-1999 –> 2000-2009 6.989582 12536.8334
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 821 3.5428368 4420.9085 13.548854 1982-1999 –> 2000-2009 6.989582 12536.8334
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 821 3.6049736 4449.4574 14.254127 1982-1999 –> 2000-2009 7.141375 12643.7047
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 821 3.6130845 4453.1476 14.367489 1982-1999 –> 2000-2009 7.160523 12656.8987
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 821 4.0101542 4624.3554 18.467997 1982-1999 –> 2000-2009 7.983365 13173.8205
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 821 3.6144538 4453.7698 14.406160 1982-1999 –> 2000-2009 7.166318 12661.3236
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 821 3.6144538 4453.7698 14.406160 1982-1999 –> 2000-2009 7.166318 12661.3236
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 821 3.6144538 4453.7698 14.406160 1982-1999 –> 2000-2009 7.166318 12661.3236
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 821 3.6641860 4474.2085 16.329432 1982-1999 –> 2000-2009 7.493332 12909.0282
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 792 3.6009407 4291.0117 11.213529 2000-2009 –> 2010-2019 7.143777 8711.9202
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 792 3.6009407 4291.0117 11.213529 2000-2009 –> 2010-2019 7.143777 8711.9202
Atlantic (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 792 3.6009407 4291.0117 11.213529 2000-2009 –> 2010-2019 7.143777 8711.9202
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 792 3.6456610 4310.5623 10.558861 2000-2009 –> 2010-2019 7.250635 8760.0197
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 792 3.6511837 4312.9601 10.565733 2000-2009 –> 2010-2019 7.264268 8766.1077
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 792 3.6514965 4313.0958 10.569140 2000-2009 –> 2010-2019 7.265950 8766.8655
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 792 3.6514965 4313.0958 10.569140 2000-2009 –> 2010-2019 7.265950 8766.8655
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate 792 3.8820773 4408.0893 11.502376 2000-2009 –> 2010-2019 7.854549 9014.9421
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 792 3.6514965 4313.0958 10.569140 2000-2009 –> 2010-2019 7.265950 8766.8655
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 792 3.6560396 4313.0653 10.639942 2000-2009 –> 2010-2019 7.320226 8787.2738
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1062 3.1279799 5450.0083 10.324034 1982-1999 –> 2000-2009 6.187130 15089.6734
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1062 3.1279799 5450.0083 10.324034 1982-1999 –> 2000-2009 6.187130 15089.6734
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1062 3.1279799 5450.0083 10.324034 1982-1999 –> 2000-2009 6.187130 15089.6734
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1062 3.1458329 5462.0966 10.510256 1982-1999 –> 2000-2009 6.228189 15130.4333
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1062 3.1633266 5473.8752 10.703716 1982-1999 –> 2000-2009 6.267826 15169.3699
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1062 3.1680484 5477.0433 10.749854 1982-1999 –> 2000-2009 6.279439 15180.9508
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1062 3.1680484 5477.0433 10.749854 1982-1999 –> 2000-2009 6.279439 15180.9508
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1062 3.0706532 5410.7205 9.342972 1982-1999 –> 2000-2009 6.053687 14954.7906
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1062 3.0706532 5410.7205 9.342972 1982-1999 –> 2000-2009 6.053687 14954.7906
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1062 3.0706532 5410.7205 9.342972 1982-1999 –> 2000-2009 6.053687 14954.7906
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 991 3.5094388 5314.6502 11.405243 2000-2009 –> 2010-2019 6.637419 10764.6585
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 991 3.5094388 5314.6502 11.405243 2000-2009 –> 2010-2019 6.637419 10764.6585
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 991 3.5094388 5314.6502 11.405243 2000-2009 –> 2010-2019 6.637419 10764.6585
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 991 3.5181132 5319.5432 11.394774 2000-2009 –> 2010-2019 6.663946 10781.6398
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 991 3.5335249 5328.2067 11.447911 2000-2009 –> 2010-2019 6.696852 10802.0819
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 991 3.5373943 5330.3759 11.456164 2000-2009 –> 2010-2019 6.705443 10807.4192
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 991 3.5373943 5330.3759 11.456164 2000-2009 –> 2010-2019 6.705443 10807.4192
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 991 3.4937733 5305.7831 10.866053 2000-2009 –> 2010-2019 6.564426 10716.5036
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 991 3.4937733 5305.7831 10.866053 2000-2009 –> 2010-2019 6.564426 10716.5036
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 991 3.4937733 5305.7831 10.866053 2000-2009 –> 2010-2019 6.564426 10716.5036
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1823 2.0659770 7830.9993 14.424827 1982-1999 –> 2000-2009 3.738514 19984.0002
Atlantic (26.75,27] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 1823 2.0659770 7830.9993 14.424827 1982-1999 –> 2000-2009 3.738514 19984.0002
Atlantic (26.75,27] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 1823 2.0659770 7830.9993 14.424827 1982-1999 –> 2000-2009 3.738514 19984.0002
Atlantic (26.75,27] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 1823 2.0659770 7830.9993 14.424827 1982-1999 –> 2000-2009 3.738514 19984.0002
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1823 1.9766315 7671.8129 13.781569 1982-1999 –> 2000-2009 3.629621 19752.9816
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1823 1.9766315 7671.8129 13.781569 1982-1999 –> 2000-2009 3.629621 19752.9816
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1823 1.9766315 7671.8129 13.781569 1982-1999 –> 2000-2009 3.629621 19752.9816
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1823 2.0641208 7829.7220 15.633375 1982-1999 –> 2000-2009 3.577570 19357.0333
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1823 2.0641208 7829.7220 15.633375 1982-1999 –> 2000-2009 3.577570 19357.0333
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1823 2.0641208 7829.7220 15.633375 1982-1999 –> 2000-2009 3.577570 19357.0333
Atlantic (26.75,27] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 1838 2.4862011 8575.9566 27.327135 2000-2009 –> 2010-2019 4.552178 16406.9559
Atlantic (26.75,27] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 1838 2.4862011 8575.9566 27.327135 2000-2009 –> 2010-2019 4.552178 16406.9559
Atlantic (26.75,27] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 1838 2.4862011 8575.9566 27.327135 2000-2009 –> 2010-2019 4.552178 16406.9559
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1838 2.3752932 8410.2024 25.710403 2000-2009 –> 2010-2019 4.351925 16082.0153
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1838 2.3752932 8410.2024 25.710403 2000-2009 –> 2010-2019 4.351925 16082.0153
Atlantic (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1838 2.3752932 8410.2024 25.710403 2000-2009 –> 2010-2019 4.351925 16082.0153
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1838 2.4071291 8459.1444 25.463849 2000-2009 –> 2010-2019 4.457073 16263.7379
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1838 2.1210877 7994.1091 22.432680 2000-2009 –> 2010-2019 4.185208 15823.8311
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1838 2.1210877 7994.1091 22.432680 2000-2009 –> 2010-2019 4.185208 15823.8311
Atlantic (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1838 2.1210877 7994.1091 22.432680 2000-2009 –> 2010-2019 4.185208 15823.8311
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 1559 1.8793477 6403.4736 8.998018 1982-1999 –> 2000-2009 3.595723 16646.1713
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1559 1.8550315 6364.8678 9.477884 1982-1999 –> 2000-2009 3.425017 16144.0336
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1559 1.8550315 6364.8678 9.477884 1982-1999 –> 2000-2009 3.425017 16144.0336
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1559 1.8550315 6364.8678 9.477884 1982-1999 –> 2000-2009 3.425017 16144.0336
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1559 1.8625185 6377.4268 9.147187 1982-1999 –> 2000-2009 3.419290 16112.4532
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1559 1.8837810 6412.8203 8.440864 1982-1999 –> 2000-2009 3.465210 16229.9098
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1559 1.8884128 6420.4774 8.297018 1982-1999 –> 2000-2009 3.481769 16276.8061
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1559 1.8884128 6420.4774 8.297018 1982-1999 –> 2000-2009 3.481769 16276.8061
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1559 1.8884128 6420.4774 8.297018 1982-1999 –> 2000-2009 3.481769 16276.8061
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1559 2.2857653 7015.9038 13.732662 1982-1999 –> 2000-2009 4.362188 18255.0358
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 1614 2.1987074 7135.5768 13.608209 2000-2009 –> 2010-2019 4.078055 13539.0504
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1614 2.1986925 7137.5549 13.623827 2000-2009 –> 2010-2019 4.053724 13502.4226
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1614 2.2884650 7264.7344 14.940040 2000-2009 –> 2010-2019 4.393724 14022.1437
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1614 2.1986925 7137.5549 13.623827 2000-2009 –> 2010-2019 4.053724 13502.4226
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1614 2.1986925 7137.5549 13.623827 2000-2009 –> 2010-2019 4.053724 13502.4226
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1614 2.1974375 7135.7119 13.756871 2000-2009 –> 2010-2019 4.059956 13513.1387
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1614 2.2179016 7165.6341 13.737545 2000-2009 –> 2010-2019 4.101683 13578.4544
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1614 2.2217600 7171.2449 13.731026 2000-2009 –> 2010-2019 4.110173 13591.7224
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1614 2.2217600 7171.2449 13.731026 2000-2009 –> 2010-2019 4.110173 13591.7224
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1614 2.2217600 7171.2449 13.731026 2000-2009 –> 2010-2019 4.110173 13591.7224
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate 1594 2.7208633 7726.6022 22.958657 1982-1999 –> 2000-2009 5.260316 21270.3078
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1594 2.6239029 7612.9213 20.990014 1982-1999 –> 2000-2009 4.790951 20245.8255
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1594 2.6239029 7612.9213 20.990014 1982-1999 –> 2000-2009 4.790951 20245.8255
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1594 2.6239029 7612.9213 20.990014 1982-1999 –> 2000-2009 4.790951 20245.8255
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1594 3.0256242 8067.0664 22.307827 1982-1999 –> 2000-2009 5.339855 21078.2056
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1594 2.6454546 7638.9993 21.615505 1982-1999 –> 2000-2009 4.872356 20428.7276
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1594 2.7152700 7722.0418 22.531495 1982-1999 –> 2000-2009 5.037011 20751.8293
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1594 2.7180778 7725.3367 22.530224 1982-1999 –> 2000-2009 5.048797 20777.3400
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1594 2.7180778 7725.3367 22.530224 1982-1999 –> 2000-2009 5.048797 20777.3400
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1594 2.7180778 7725.3367 22.530224 1982-1999 –> 2000-2009 5.048797 20777.3400
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate 1540 3.4065624 8157.4981 25.787296 2000-2009 –> 2010-2019 6.127426 15884.1003
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1540 3.3630344 8119.8892 24.303149 2000-2009 –> 2010-2019 5.986937 15732.8105
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1540 3.3630344 8119.8892 24.303149 2000-2009 –> 2010-2019 5.986937 15732.8105
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1540 3.3630344 8119.8892 24.303149 2000-2009 –> 2010-2019 5.986937 15732.8105
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1540 3.3878137 8142.4999 25.086109 2000-2009 –> 2010-2019 6.033268 15781.4992
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1540 3.4733644 8219.3117 26.117342 2000-2009 –> 2010-2019 6.188634 15941.3534
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1540 3.4712088 8217.3996 26.045173 2000-2009 –> 2010-2019 6.189287 15942.7363
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1540 3.4712088 8217.3996 26.045173 2000-2009 –> 2010-2019 6.189287 15942.7363
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1540 3.4712088 8217.3996 26.045173 2000-2009 –> 2010-2019 6.189287 15942.7363
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1540 3.4856387 8228.1767 26.689636 2000-2009 –> 2010-2019 6.243194 15997.4827
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 2189 2.4548909 10155.9174 13.710462 1982-1999 –> 2000-2009 4.822076 27199.7366
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2189 2.3972116 10053.8255 14.482314 1982-1999 –> 2000-2009 4.497780 26207.2660
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2189 2.3972116 10053.8255 14.482314 1982-1999 –> 2000-2009 4.497780 26207.2660
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2189 2.3972116 10053.8255 14.482314 1982-1999 –> 2000-2009 4.497780 26207.2660
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2189 2.3935619 10047.1550 14.390315 1982-1999 –> 2000-2009 4.460355 26079.5439
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2189 2.4106189 10078.2430 14.012959 1982-1999 –> 2000-2009 4.477100 26109.5044
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2189 2.4097563 10076.6760 14.011715 1982-1999 –> 2000-2009 4.477132 26111.1685
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2189 2.4097563 10076.6760 14.011715 1982-1999 –> 2000-2009 4.477132 26111.1685
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2189 2.4097563 10076.6760 14.011715 1982-1999 –> 2000-2009 4.477132 26111.1685
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 2189 2.4275673 10106.9158 14.419301 1982-1999 –> 2000-2009 4.527768 26257.0494
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 2130 2.7306643 10336.0394 14.849561 2000-2009 –> 2010-2019 5.185555 20491.9568
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2130 2.7161747 10315.3747 14.691108 2000-2009 –> 2010-2019 5.113386 20369.2002
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2130 2.7161747 10315.3747 14.691108 2000-2009 –> 2010-2019 5.113386 20369.2002
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2130 2.7161747 10315.3747 14.691108 2000-2009 –> 2010-2019 5.113386 20369.2002
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2130 2.7135601 10311.2719 14.940345 2000-2009 –> 2010-2019 5.107122 20358.4270
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2130 2.7211804 10323.2183 16.311948 2000-2009 –> 2010-2019 5.131799 20401.4613
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2130 2.7198078 10321.0690 16.219806 2000-2009 –> 2010-2019 5.129564 20397.7450
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2130 2.7198078 10321.0690 16.219806 2000-2009 –> 2010-2019 5.129564 20397.7450
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2130 2.7198078 10321.0690 16.219806 2000-2009 –> 2010-2019 5.129564 20397.7450
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 2130 2.7949699 10435.1971 18.121932 2000-2009 –> 2010-2019 5.222537 20542.1129
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 779 1.5517635 2909.2790 12.833744 1982-1999 –> 2000-2009 3.148808 7905.2060
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 779 1.5517635 2909.2790 12.833744 1982-1999 –> 2000-2009 3.148808 7905.2060
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 779 1.5517635 2909.2790 12.833744 1982-1999 –> 2000-2009 3.148808 7905.2060
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 779 1.6266658 2982.7237 11.366852 1982-1999 –> 2000-2009 3.194466 7929.8599
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 779 1.5855732 2942.8600 12.925051 1982-1999 –> 2000-2009 3.214944 7991.6899
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 779 1.6388514 2994.3514 13.122059 1982-1999 –> 2000-2009 3.316946 8120.9682
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 779 1.6266658 2982.7237 11.366852 1982-1999 –> 2000-2009 3.194466 7929.8599
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 779 1.6266658 2982.7237 11.366852 1982-1999 –> 2000-2009 3.194466 7929.8599
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 779 1.6434691 2998.7351 13.137533 1982-1999 –> 2000-2009 3.325154 8130.9954
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 779 1.6434691 2998.7351 13.137533 1982-1999 –> 2000-2009 3.325154 8130.9954
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 770 1.6743257 2992.8976 12.064362 2000-2009 –> 2010-2019 3.226089 5902.1766
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 770 1.6743257 2992.8976 12.064362 2000-2009 –> 2010-2019 3.226089 5902.1766
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 770 1.6743257 2992.8976 12.064362 2000-2009 –> 2010-2019 3.226089 5902.1766
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 770 1.8712431 3164.1339 10.485841 2000-2009 –> 2010-2019 3.497909 6146.8576
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 770 1.6984963 3014.9701 12.119011 2000-2009 –> 2010-2019 3.284070 5957.8301
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 770 1.7409349 3052.9757 12.271227 2000-2009 –> 2010-2019 3.379786 6047.3271
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 770 1.8712431 3164.1339 10.485841 2000-2009 –> 2010-2019 3.497909 6146.8576
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 770 1.7443604 3056.0028 12.283941 2000-2009 –> 2010-2019 3.387830 6054.7379
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 770 1.7443604 3056.0028 12.283941 2000-2009 –> 2010-2019 3.387830 6054.7379
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 770 1.7443604 3056.0028 12.283941 2000-2009 –> 2010-2019 3.387830 6054.7379
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 738 2.7069777 3578.2025 21.146803 1982-1999 –> 2000-2009 5.435830 10065.9769
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 738 2.7069777 3578.2025 21.146803 1982-1999 –> 2000-2009 5.435830 10065.9769
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 738 2.7069777 3578.2025 21.146803 1982-1999 –> 2000-2009 5.435830 10065.9769
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 738 2.8358734 3644.8618 21.642649 1982-1999 –> 2000-2009 5.752679 10308.6123
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 738 2.8294063 3643.4920 21.495006 1982-1999 –> 2000-2009 5.693662 10260.6639
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate 738 2.8358734 3644.8618 21.642649 1982-1999 –> 2000-2009 5.752679 10308.6123
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 738 2.8358734 3644.8618 21.642649 1982-1999 –> 2000-2009 5.752679 10308.6123
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 738 2.8358734 3644.8618 21.642649 1982-1999 –> 2000-2009 5.752679 10308.6123
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 738 2.8294063 3643.4920 21.495006 1982-1999 –> 2000-2009 5.693662 10260.6639
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 738 2.8294063 3643.4920 21.495006 1982-1999 –> 2000-2009 5.693662 10260.6639
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 814 3.2920626 4263.8172 30.727354 2000-2009 –> 2010-2019 6.470077 8078.8054
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 814 3.2920626 4263.8172 30.727354 2000-2009 –> 2010-2019 6.470077 8078.8054
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 814 3.2920626 4263.8172 30.727354 2000-2009 –> 2010-2019 6.470077 8078.8054
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 814 3.2842760 4259.9620 30.509318 2000-2009 –> 2010-2019 5.991254 7838.1645
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 814 3.2842760 4259.9620 30.509318 2000-2009 –> 2010-2019 5.991254 7838.1645
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 814 3.2842760 4259.9620 30.509318 2000-2009 –> 2010-2019 5.991254 7838.1645
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 814 3.6356054 4425.4147 24.695960 2000-2009 –> 2010-2019 6.465012 8068.9067
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 814 3.6638256 4436.0027 23.510018 2000-2009 –> 2010-2019 6.499699 8080.8646
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 814 3.6356054 4425.4147 24.695960 2000-2009 –> 2010-2019 6.465012 8068.9067
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 814 3.6356054 4425.4147 24.695960 2000-2009 –> 2010-2019 6.465012 8068.9067
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 924 4.5997587 5456.2535 25.306310 1982-1999 –> 2000-2009 9.345036 15446.1016
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 924 4.5997587 5456.2535 25.306310 1982-1999 –> 2000-2009 9.345036 15446.1016
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 924 4.5997587 5456.2535 25.306310 1982-1999 –> 2000-2009 9.345036 15446.1016
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 924 4.5622531 5441.1235 24.610479 1982-1999 –> 2000-2009 9.285899 15415.6565
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 924 4.5446329 5433.9724 24.335796 1982-1999 –> 2000-2009 9.253139 15397.7446
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 924 4.5490680 5435.7750 24.375429 1982-1999 –> 2000-2009 9.260691 15401.7657
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 924 4.5490680 5435.7750 24.375429 1982-1999 –> 2000-2009 9.260691 15401.7657
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 924 4.5490680 5435.7750 24.375429 1982-1999 –> 2000-2009 9.260691 15401.7657
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 924 4.5656850 5442.5131 21.761088 1982-1999 –> 2000-2009 9.420054 15508.5499
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 924 4.5656850 5442.5131 21.761088 1982-1999 –> 2000-2009 9.420054 15508.5499
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 946 4.3077764 5461.7498 24.652729 2000-2009 –> 2010-2019 8.907535 10918.0034
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 946 4.3077764 5461.7498 24.652729 2000-2009 –> 2010-2019 8.907535 10918.0034
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 946 4.3077764 5461.7498 24.652729 2000-2009 –> 2010-2019 8.907535 10918.0034
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 946 4.2909164 5454.3303 24.137836 2000-2009 –> 2010-2019 8.853169 10895.4538
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 946 4.2825099 5450.6200 23.886223 2000-2009 –> 2010-2019 8.827143 10884.5924
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 946 4.2855285 5451.9531 23.970559 2000-2009 –> 2010-2019 8.834596 10887.7281
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 946 4.2855285 5451.9531 23.970559 2000-2009 –> 2010-2019 8.834596 10887.7281
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 946 4.2855285 5451.9531 23.970559 2000-2009 –> 2010-2019 8.834596 10887.7281
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 946 4.4121453 5507.0428 23.110838 2000-2009 –> 2010-2019 8.977830 10949.5559
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 946 4.4121453 5507.0428 23.110838 2000-2009 –> 2010-2019 8.977830 10949.5559
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 622 1.0115009 1793.3850 5.997384 1982-1999 –> 2000-2009 1.903857 4615.8484
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 622 1.0115009 1793.3850 5.997384 1982-1999 –> 2000-2009 1.903857 4615.8484
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 622 1.0115009 1793.3850 5.997384 1982-1999 –> 2000-2009 1.903857 4615.8484
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 622 0.9841424 1759.2746 7.226845 1982-1999 –> 2000-2009 1.854810 4528.7879
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 622 1.0157076 1798.5480 5.873878 1982-1999 –> 2000-2009 1.914098 4635.5150
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 622 0.9841424 1759.2746 7.226845 1982-1999 –> 2000-2009 1.854810 4528.7879
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 622 0.9841424 1759.2746 7.226845 1982-1999 –> 2000-2009 1.854810 4528.7879
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 622 1.0763763 1870.7181 11.424966 1982-1999 –> 2000-2009 1.915653 4561.2119
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 622 1.0763763 1870.7181 11.424966 1982-1999 –> 2000-2009 1.915653 4561.2119
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 622 1.0763763 1870.7181 11.424966 1982-1999 –> 2000-2009 1.915653 4561.2119
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 616 1.0470929 1818.8260 8.314273 2000-2009 –> 2010-2019 2.058594 3612.2110
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 616 1.0470929 1818.8260 8.314273 2000-2009 –> 2010-2019 2.058594 3612.2110
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 616 1.0470929 1818.8260 8.314273 2000-2009 –> 2010-2019 2.058594 3612.2110
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 616 0.9896539 1749.3195 9.758830 2000-2009 –> 2010-2019 1.973796 3508.5941
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 616 1.0547209 1827.7686 8.133869 2000-2009 –> 2010-2019 2.070429 3626.3165
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 616 0.9896539 1749.3195 9.758830 2000-2009 –> 2010-2019 1.973796 3508.5941
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 616 0.9896539 1749.3195 9.758830 2000-2009 –> 2010-2019 1.973796 3508.5941
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 616 1.0579259 1831.5066 8.093710 2000-2009 –> 2010-2019 2.076422 3633.4654
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 616 1.0579259 1831.5066 8.093710 2000-2009 –> 2010-2019 2.076422 3633.4654
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 616 1.0579259 1831.5066 8.093710 2000-2009 –> 2010-2019 2.076422 3633.4654
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 732 0.7664085 1701.8434 5.326021 1982-1999 –> 2000-2009 1.395861 4191.9721
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 732 0.7664085 1701.8434 5.326021 1982-1999 –> 2000-2009 1.395861 4191.9721
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 732 0.7664085 1701.8434 5.326021 1982-1999 –> 2000-2009 1.395861 4191.9721
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 732 0.7702560 1709.1747 5.243834 1982-1999 –> 2000-2009 1.405389 4222.5708
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 732 0.7727055 1713.8229 5.212222 1982-1999 –> 2000-2009 1.412213 4244.9944
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 732 0.7727055 1713.8229 5.212222 1982-1999 –> 2000-2009 1.412213 4244.9944
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 732 0.7727055 1713.8229 5.212222 1982-1999 –> 2000-2009 1.412213 4244.9944
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 732 0.8104758 1783.6902 9.303686 1982-1999 –> 2000-2009 1.399266 4100.8539
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 732 0.8104758 1783.6902 9.303686 1982-1999 –> 2000-2009 1.399266 4100.8539
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 732 0.8104758 1783.6902 9.303686 1982-1999 –> 2000-2009 1.399266 4100.8539
Atlantic (28.1,28.15] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 701 0.8144621 1713.6231 6.686258 2000-2009 –> 2010-2019 1.595687 3441.4986
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 701 0.8130228 1713.1432 6.684612 2000-2009 –> 2010-2019 1.579431 3414.9866
Atlantic (28.1,28.15] 4 cstar_tref ~ sal + oxygen + aou + phosphate 701 0.8144621 1713.6231 6.686258 2000-2009 –> 2010-2019 1.595687 3441.4986
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 701 0.8144621 1713.6231 6.686258 2000-2009 –> 2010-2019 1.595687 3441.4986
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 701 0.8130228 1713.1432 6.684612 2000-2009 –> 2010-2019 1.579431 3414.9866
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 701 0.8130228 1713.1432 6.684612 2000-2009 –> 2010-2019 1.579431 3414.9866
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 701 0.7996303 1689.8566 7.409766 2000-2009 –> 2010-2019 1.580737 3419.5101
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 701 0.8196724 1724.5633 6.546798 2000-2009 –> 2010-2019 1.589928 3433.7380
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 701 0.7996303 1689.8566 7.409766 2000-2009 –> 2010-2019 1.580737 3419.5101
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 701 0.7996303 1689.8566 7.409766 2000-2009 –> 2010-2019 1.580737 3419.5101
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1187 0.6897927 2500.9416 2.500972 1982-1999 –> 2000-2009 1.426509 7467.2812
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1187 0.6897927 2500.9416 2.500972 1982-1999 –> 2000-2009 1.426509 7467.2812
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1187 0.6897927 2500.9416 2.500972 1982-1999 –> 2000-2009 1.426509 7467.2812
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1187 0.6237333 2261.9550 2.365428 1982-1999 –> 2000-2009 1.393571 7423.9085
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1187 0.7013518 2540.3938 2.559664 1982-1999 –> 2000-2009 1.448203 7567.5059
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1187 0.6237333 2261.9550 2.365428 1982-1999 –> 2000-2009 1.393571 7423.9085
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1187 0.6237333 2261.9550 2.365428 1982-1999 –> 2000-2009 1.393571 7423.9085
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1187 0.7045830 2551.3062 2.585326 1982-1999 –> 2000-2009 1.455796 7604.3250
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1187 0.7045830 2551.3062 2.585326 1982-1999 –> 2000-2009 1.455796 7604.3250
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1187 0.7045830 2551.3062 2.585326 1982-1999 –> 2000-2009 1.455796 7604.3250
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1172 0.9105075 3120.2347 7.964625 2000-2009 –> 2010-2019 1.600300 5621.1762
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1172 0.9105075 3120.2347 7.964625 2000-2009 –> 2010-2019 1.600300 5621.1762
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1172 0.9105075 3120.2347 7.964625 2000-2009 –> 2010-2019 1.600300 5621.1762
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1172 0.9208406 3146.6863 7.983609 2000-2009 –> 2010-2019 1.622192 5687.0800
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1172 0.9242387 3155.3200 8.020621 2000-2009 –> 2010-2019 1.628822 5706.6262
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1172 0.9242387 3155.3200 8.020621 2000-2009 –> 2010-2019 1.628822 5706.6262
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1172 0.9242387 3155.3200 8.020621 2000-2009 –> 2010-2019 1.628822 5706.6262
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1172 0.8234442 2884.6478 7.634578 2000-2009 –> 2010-2019 1.523481 5420.5855
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1172 0.8234442 2884.6478 7.634578 2000-2009 –> 2010-2019 1.523481 5420.5855
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1172 0.8234442 2884.6478 7.634578 2000-2009 –> 2010-2019 1.523481 5420.5855
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2098 0.7253072 4620.2788 3.586799 1982-1999 –> 2000-2009 1.359725 11788.2764
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2098 0.7253072 4620.2788 3.586799 1982-1999 –> 2000-2009 1.359725 11788.2764
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2098 0.7253072 4620.2788 3.586799 1982-1999 –> 2000-2009 1.359725 11788.2764
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2098 0.7243609 4614.8008 3.783505 1982-1999 –> 2000-2009 1.358273 11776.8856
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2098 0.7276161 4633.6151 3.696095 1982-1999 –> 2000-2009 1.364378 11828.9801
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2098 0.7276161 4633.6151 3.696095 1982-1999 –> 2000-2009 1.364378 11828.9801
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2098 0.7276161 4633.6151 3.696095 1982-1999 –> 2000-2009 1.364378 11828.9801
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2098 0.6730482 4306.5089 9.069562 1982-1999 –> 2000-2009 1.311948 11526.7593
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2098 0.6730482 4306.5089 9.069562 1982-1999 –> 2000-2009 1.311948 11526.7593
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2098 0.6730482 4306.5089 9.069562 1982-1999 –> 2000-2009 1.311948 11526.7593
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2152 0.8199027 5266.4678 2.701687 2000-2009 –> 2010-2019 1.545210 9886.7467
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2152 0.8199027 5266.4678 2.701687 2000-2009 –> 2010-2019 1.545210 9886.7467
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2152 0.8199027 5266.4678 2.701687 2000-2009 –> 2010-2019 1.545210 9886.7467
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2152 0.8182368 5257.7142 2.806990 2000-2009 –> 2010-2019 1.542598 9872.5150
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2152 0.8218787 5276.8284 2.749428 2000-2009 –> 2010-2019 1.549495 9910.4435
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2152 0.8218787 5276.8284 2.749428 2000-2009 –> 2010-2019 1.549495 9910.4435
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2152 0.8218787 5276.8284 2.749428 2000-2009 –> 2010-2019 1.549495 9910.4435
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2152 0.7850813 5079.6811 10.141715 2000-2009 –> 2010-2019 1.458130 9386.1900
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2152 0.7850813 5079.6811 10.141715 2000-2009 –> 2010-2019 1.458130 9386.1900
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2152 0.7850813 5079.6811 10.141715 2000-2009 –> 2010-2019 1.458130 9386.1900
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4068 6.2543379 26472.0117 30.183795 1982-1999 –> 2000-2009 12.783879 73889.8410
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4068 6.2120635 26418.8320 29.738900 1982-1999 –> 2000-2009 12.690915 73726.5445
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate 4068 6.2543379 26472.0117 30.183795 1982-1999 –> 2000-2009 12.783879 73889.8410
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 4068 6.2543379 26472.0117 30.183795 1982-1999 –> 2000-2009 12.783879 73889.8410
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 4068 6.2543379 26472.0117 30.183795 1982-1999 –> 2000-2009 12.783879 73889.8410
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4068 6.2120635 26418.8320 29.738900 1982-1999 –> 2000-2009 12.690915 73726.5445
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4068 6.2120635 26418.8320 29.738900 1982-1999 –> 2000-2009 12.690915 73726.5445
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4068 6.2512904 26470.0464 30.096092 1982-1999 –> 2000-2009 12.779361 73886.6344
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 4068 6.2512904 26470.0464 30.096092 1982-1999 –> 2000-2009 12.779361 73886.6344
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 4068 6.2512904 26470.0464 30.096092 1982-1999 –> 2000-2009 12.779361 73886.6344
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4036 6.0300164 25969.0357 24.745097 2000-2009 –> 2010-2019 12.284354 52441.0473
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4036 5.9649172 25883.4176 24.031741 2000-2009 –> 2010-2019 12.176981 52302.2496
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate 4036 6.0300164 25969.0357 24.745097 2000-2009 –> 2010-2019 12.284354 52441.0473
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 4036 6.0300164 25969.0357 24.745097 2000-2009 –> 2010-2019 12.284354 52441.0473
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 4036 6.0300164 25969.0357 24.745097 2000-2009 –> 2010-2019 12.284354 52441.0473
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4036 5.9649172 25883.4176 24.031741 2000-2009 –> 2010-2019 12.176981 52302.2496
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4036 5.9649172 25883.4176 24.031741 2000-2009 –> 2010-2019 12.176981 52302.2496
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4036 6.0272256 25967.2990 24.593762 2000-2009 –> 2010-2019 12.278516 52437.3453
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 4036 6.0272256 25967.2990 24.593762 2000-2009 –> 2010-2019 12.278516 52437.3453
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 4036 6.0272256 25967.2990 24.593762 2000-2009 –> 2010-2019 12.278516 52437.3453
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4229 4.4636654 24668.2986 44.432429 1982-1999 –> 2000-2009 8.710038 68872.1153
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4229 4.4636654 24668.2986 44.432429 1982-1999 –> 2000-2009 8.710038 68872.1153
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4229 4.4636654 24668.2986 44.432429 1982-1999 –> 2000-2009 8.710038 68872.1153
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4229 4.5257730 24785.1724 40.047276 1982-1999 –> 2000-2009 8.819922 69161.5553
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4229 4.6046688 24931.3466 38.348204 1982-1999 –> 2000-2009 8.952159 69498.1439
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4229 4.6137243 24947.9636 39.385693 1982-1999 –> 2000-2009 8.972323 69554.1211
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4229 4.6137243 24947.9636 39.385693 1982-1999 –> 2000-2009 8.972323 69554.1211
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4229 4.6137243 24947.9636 39.385693 1982-1999 –> 2000-2009 8.972323 69554.1211
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4229 4.8096413 25299.7074 40.660310 1982-1999 –> 2000-2009 9.429310 70803.1183
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4229 4.8096413 25299.7074 40.660310 1982-1999 –> 2000-2009 9.429310 70803.1183
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4214 4.5543122 24750.2900 44.713879 2000-2009 –> 2010-2019 9.017978 49418.5885
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4214 4.5543122 24750.2900 44.713879 2000-2009 –> 2010-2019 9.017978 49418.5885
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4214 4.5543122 24750.2900 44.713879 2000-2009 –> 2010-2019 9.017978 49418.5885
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4214 4.6220263 24874.6762 39.926251 2000-2009 –> 2010-2019 9.147799 49659.8486
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4214 4.6898692 24997.4848 38.609227 2000-2009 –> 2010-2019 9.294538 49928.8313
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4214 4.6946880 25006.1400 38.518122 2000-2009 –> 2010-2019 9.308412 49954.1036
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4214 4.6946880 25006.1400 38.518122 2000-2009 –> 2010-2019 9.308412 49954.1036
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4214 4.6946880 25006.1400 38.518122 2000-2009 –> 2010-2019 9.308412 49954.1036
Indo-Pacific (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 4214 4.7963832 25184.7561 37.240915 2000-2009 –> 2010-2019 9.658523 50574.2844
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4214 4.8908804 25351.1879 41.133450 2000-2009 –> 2010-2019 9.700522 50650.8953
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 3529 4.0081816 19825.7554 21.344088 1982-1999 –> 2000-2009 7.957249 54955.2040
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 3529 4.0081816 19825.7554 21.344088 1982-1999 –> 2000-2009 7.957249 54955.2040
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 3529 4.0081816 19825.7554 21.344088 1982-1999 –> 2000-2009 7.957249 54955.2040
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3529 3.9057203 19644.9853 19.477812 1982-1999 –> 2000-2009 7.663115 54150.7321
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 3529 3.9057203 19644.9853 19.477812 1982-1999 –> 2000-2009 7.663115 54150.7321
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 3529 3.9057203 19644.9853 19.477812 1982-1999 –> 2000-2009 7.663115 54150.7321
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 3529 4.0064489 19824.7036 20.794816 1982-1999 –> 2000-2009 7.858827 54644.4096
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3529 3.9261530 19681.8129 19.620117 1982-1999 –> 2000-2009 7.803345 54582.2623
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3529 3.9261530 19681.8129 19.620117 1982-1999 –> 2000-2009 7.803345 54582.2623
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 3529 3.9261530 19681.8129 19.620117 1982-1999 –> 2000-2009 7.803345 54582.2623
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 3462 4.3108347 19953.6053 24.872787 2000-2009 –> 2010-2019 8.319016 39779.3607
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 3462 4.3108347 19953.6053 24.872787 2000-2009 –> 2010-2019 8.319016 39779.3607
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 3462 4.3108347 19953.6053 24.872787 2000-2009 –> 2010-2019 8.319016 39779.3607
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3462 4.1730388 19730.6649 25.147334 2000-2009 –> 2010-2019 8.078759 39375.6502
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 3462 4.1730388 19730.6649 25.147334 2000-2009 –> 2010-2019 8.078759 39375.6502
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 3462 4.1730388 19730.6649 25.147334 2000-2009 –> 2010-2019 8.078759 39375.6502
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 3462 4.3116333 19956.8879 24.655285 2000-2009 –> 2010-2019 8.318082 39781.5915
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3462 4.1748258 19733.6293 23.080937 2000-2009 –> 2010-2019 8.100979 39415.4422
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3462 4.1748258 19733.6293 23.080937 2000-2009 –> 2010-2019 8.100979 39415.4422
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 3462 4.1748258 19733.6293 23.080937 2000-2009 –> 2010-2019 8.100979 39415.4422
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4017 4.1325162 22813.0860 22.568982 1982-1999 –> 2000-2009 7.719462 63437.8496
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 4017 4.1325162 22813.0860 22.568982 1982-1999 –> 2000-2009 7.719462 63437.8496
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 4017 4.1325162 22813.0860 22.568982 1982-1999 –> 2000-2009 7.719462 63437.8496
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4017 4.1775858 22898.2313 22.992091 1982-1999 –> 2000-2009 7.857782 63907.5565
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4017 4.1420159 22831.5333 21.346253 1982-1999 –> 2000-2009 7.794480 63728.9293
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + oxygen + aou + phosphate 4017 4.1775858 22898.2313 22.992091 1982-1999 –> 2000-2009 7.857782 63907.5565
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 4017 4.1775858 22898.2313 22.992091 1982-1999 –> 2000-2009 7.857782 63907.5565
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 4017 4.1775858 22898.2313 22.992091 1982-1999 –> 2000-2009 7.857782 63907.5565
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4017 4.1420159 22831.5333 21.346253 1982-1999 –> 2000-2009 7.794480 63728.9293
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4017 4.1420159 22831.5333 21.346253 1982-1999 –> 2000-2009 7.794480 63728.9293
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4205 4.4525537 24507.4214 22.537617 2000-2009 –> 2010-2019 8.585070 47320.5074
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 4205 4.4525537 24507.4214 22.537617 2000-2009 –> 2010-2019 8.585070 47320.5074
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 4205 4.4525537 24507.4214 22.537617 2000-2009 –> 2010-2019 8.585070 47320.5074
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4205 4.4888244 24573.6520 23.022818 2000-2009 –> 2010-2019 8.666410 47471.8834
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4205 4.4625670 24526.3133 21.572068 2000-2009 –> 2010-2019 8.604583 47357.8466
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + oxygen + aou + phosphate 4205 4.4888244 24573.6520 23.022818 2000-2009 –> 2010-2019 8.666410 47471.8834
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 4205 4.4888244 24573.6520 23.022818 2000-2009 –> 2010-2019 8.666410 47471.8834
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 4205 4.4888244 24573.6520 23.022818 2000-2009 –> 2010-2019 8.666410 47471.8834
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4205 4.4625670 24526.3133 21.572068 2000-2009 –> 2010-2019 8.604583 47357.8466
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4205 4.4625670 24526.3133 21.572068 2000-2009 –> 2010-2019 8.604583 47357.8466
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5080 4.2999639 29249.8588 40.839339 1982-1999 –> 2000-2009 7.865699 76812.3751
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5080 4.2999639 29249.8588 40.839339 1982-1999 –> 2000-2009 7.865699 76812.3751
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 5080 4.2999639 29249.8588 40.839339 1982-1999 –> 2000-2009 7.865699 76812.3751
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5080 4.1985708 29007.4164 45.116404 1982-1999 –> 2000-2009 7.711661 76307.0484
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 5080 4.1985708 29007.4164 45.116404 1982-1999 –> 2000-2009 7.711661 76307.0484
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 5080 4.1985708 29007.4164 45.116404 1982-1999 –> 2000-2009 7.711661 76307.0484
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 5080 4.2762965 29191.7828 43.472924 1982-1999 –> 2000-2009 7.884365 76960.8955
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5080 3.8887413 28228.5645 28.959201 1982-1999 –> 2000-2009 7.191572 74437.4241
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5080 3.8887413 28228.5645 28.959201 1982-1999 –> 2000-2009 7.191572 74437.4241
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 5080 3.8887413 28228.5645 28.959201 1982-1999 –> 2000-2009 7.191572 74437.4241
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4856 4.9276508 29284.0344 42.495790 2000-2009 –> 2010-2019 9.126222 58291.4508
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 4856 4.9276508 29284.0344 42.495790 2000-2009 –> 2010-2019 9.126222 58291.4508
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 4856 4.9276508 29284.0344 42.495790 2000-2009 –> 2010-2019 9.126222 58291.4508
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4856 4.9799171 29384.5045 40.500297 2000-2009 –> 2010-2019 9.256214 58576.2873
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4856 4.3662850 28109.3696 26.056968 2000-2009 –> 2010-2019 8.255026 56337.9341
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + oxygen + aou + phosphate 4856 4.9799171 29384.5045 40.500297 2000-2009 –> 2010-2019 9.256214 58576.2873
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 4856 4.9799171 29384.5045 40.500297 2000-2009 –> 2010-2019 9.256214 58576.2873
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 4856 4.9799171 29384.5045 40.500297 2000-2009 –> 2010-2019 9.256214 58576.2873
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4856 4.3662850 28109.3696 26.056968 2000-2009 –> 2010-2019 8.255026 56337.9341
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4856 4.3662850 28109.3696 26.056968 2000-2009 –> 2010-2019 8.255026 56337.9341
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4470 3.6583191 24294.5244 32.075781 1982-1999 –> 2000-2009 6.728795 64412.0534
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4470 3.6022232 24156.3783 32.430162 1982-1999 –> 2000-2009 6.640953 64109.8648
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4470 3.6325957 24231.4408 32.502758 1982-1999 –> 2000-2009 6.697487 64320.2375
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 4470 3.3827083 23594.2799 34.201657 1982-1999 –> 2000-2009 6.628472 64588.1069
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4470 3.6116471 24179.7360 32.595637 1982-1999 –> 2000-2009 6.664766 64207.7884
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4470 3.6116471 24179.7360 32.595637 1982-1999 –> 2000-2009 6.664766 64207.7884
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4470 3.6116471 24179.7360 32.595637 1982-1999 –> 2000-2009 6.664766 64207.7884
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4470 3.3062995 23390.0270 33.165974 1982-1999 –> 2000-2009 6.230593 62737.6192
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4470 3.3062995 23390.0270 33.165974 1982-1999 –> 2000-2009 6.230593 62737.6192
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4470 3.3062995 23390.0270 33.165974 1982-1999 –> 2000-2009 6.230593 62737.6192
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4504 4.0569212 25410.8209 32.606515 2000-2009 –> 2010-2019 7.659144 49567.1992
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4504 4.0864446 25476.1374 32.736112 2000-2009 –> 2010-2019 7.719040 49707.5782
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 4504 3.6824056 24538.3230 34.115645 2000-2009 –> 2010-2019 7.065114 48132.6029
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4504 4.0608804 25419.6077 32.846089 2000-2009 –> 2010-2019 7.672528 49599.3437
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4504 4.0608804 25419.6077 32.846089 2000-2009 –> 2010-2019 7.672528 49599.3437
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4504 4.0608804 25419.6077 32.846089 2000-2009 –> 2010-2019 7.672528 49599.3437
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4504 3.7002625 24581.8995 32.621905 2000-2009 –> 2010-2019 7.006562 47971.9265
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + oxygen + aou + silicate 4504 3.7707707 24749.9313 34.072741 2000-2009 –> 2010-2019 7.217872 48510.7931
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4504 3.7002625 24581.8995 32.621905 2000-2009 –> 2010-2019 7.006562 47971.9265
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4504 3.7002625 24581.8995 32.621905 2000-2009 –> 2010-2019 7.006562 47971.9265
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4498 3.1217590 23019.7870 9.533753 1982-1999 –> 2000-2009 5.465316 59840.3513
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4498 3.1217590 23019.7870 9.533753 1982-1999 –> 2000-2009 5.465316 59840.3513
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4498 3.1217590 23019.7870 9.533753 1982-1999 –> 2000-2009 5.465316 59840.3513
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4498 3.0716192 22874.1257 8.608839 1982-1999 –> 2000-2009 5.387156 59499.7092
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4498 3.0788663 22895.3257 8.664529 1982-1999 –> 2000-2009 5.407748 59614.0638
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 4498 2.9536830 22521.9145 12.549679 1982-1999 –> 2000-2009 5.366448 59814.2446
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4498 3.0687135 22865.6117 8.570056 1982-1999 –> 2000-2009 5.391743 59543.5628
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4498 3.0687135 22865.6117 8.570056 1982-1999 –> 2000-2009 5.391743 59543.5628
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate 4498 3.0777847 22890.1651 11.482710 1982-1999 –> 2000-2009 5.453582 59930.2054
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4498 3.0687135 22865.6117 8.570056 1982-1999 –> 2000-2009 5.391743 59543.5628
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4442 3.7122834 24272.5232 10.437560 2000-2009 –> 2010-2019 6.834042 47292.3102
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + silicate 4442 3.6544877 24131.1222 9.933819 2000-2009 –> 2010-2019 6.787527 47181.3558
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4442 3.6372579 24091.1379 9.946522 2000-2009 –> 2010-2019 6.708877 46965.2637
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4442 3.6414873 24101.4622 9.952025 2000-2009 –> 2010-2019 6.720353 46996.7878
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 4442 3.4215352 23547.9637 14.491368 2000-2009 –> 2010-2019 6.375218 46069.8782
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + oxygen + silicate 4442 3.6401911 24096.2994 9.913165 2000-2009 –> 2010-2019 6.762368 47115.2899
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4442 3.6275294 24067.3442 9.930817 2000-2009 –> 2010-2019 6.696243 46932.9559
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4442 3.6275294 24067.3442 9.930817 2000-2009 –> 2010-2019 6.696243 46932.9559
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate 4442 3.7003343 24241.8814 15.667369 2000-2009 –> 2010-2019 6.778119 47132.0465
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4442 3.6275294 24067.3442 9.930817 2000-2009 –> 2010-2019 6.696243 46932.9559
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1730 2.7179751 8381.1368 19.481765 1982-1999 –> 2000-2009 4.649864 21402.0459
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 1730 2.7179751 8381.1368 19.481765 1982-1999 –> 2000-2009 4.649864 21402.0459
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 1730 2.7179751 8381.1368 19.481765 1982-1999 –> 2000-2009 4.649864 21402.0459
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 1730 2.7179751 8381.1368 19.481765 1982-1999 –> 2000-2009 4.649864 21402.0459
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1730 2.7175373 8382.5795 19.621909 1982-1999 –> 2000-2009 4.639261 21372.4525
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1730 2.7175373 8382.5795 19.621909 1982-1999 –> 2000-2009 4.639261 21372.4525
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1730 2.7175373 8382.5795 19.621909 1982-1999 –> 2000-2009 4.639261 21372.4525
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1730 2.6311961 8270.8646 19.372096 1982-1999 –> 2000-2009 4.538778 21214.4866
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1730 2.6311961 8270.8646 19.372096 1982-1999 –> 2000-2009 4.538778 21214.4866
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1730 2.6311961 8270.8646 19.372096 1982-1999 –> 2000-2009 4.538778 21214.4866
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1851 2.9034131 9212.8240 33.875999 2000-2009 –> 2010-2019 5.639459 17618.8886
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1851 2.9034131 9212.8240 33.875999 2000-2009 –> 2010-2019 5.639459 17618.8886
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1851 2.9034131 9212.8240 33.875999 2000-2009 –> 2010-2019 5.639459 17618.8886
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 1851 2.8491861 9143.0280 32.550541 2000-2009 –> 2010-2019 5.506071 17447.5099
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 1851 2.9638075 9287.0400 31.214195 2000-2009 –> 2010-2019 5.701366 17693.0177
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1851 2.9099823 9221.1906 28.356597 2000-2009 –> 2010-2019 5.541178 17492.0552
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 1851 2.9638075 9287.0400 31.214195 2000-2009 –> 2010-2019 5.701366 17693.0177
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + oxygen + aou + silicate 1851 2.9156140 9226.3483 30.396015 2000-2009 –> 2010-2019 5.582347 17541.6311
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1851 2.9099823 9221.1906 28.356597 2000-2009 –> 2010-2019 5.541178 17492.0552
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1851 2.9099823 9221.1906 28.356597 2000-2009 –> 2010-2019 5.541178 17492.0552
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 2180 2.9271436 10881.3300 31.142233 1982-1999 –> 2000-2009 5.070874 28388.8481
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 2180 2.9271436 10881.3300 31.142233 1982-1999 –> 2000-2009 5.070874 28388.8481
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 2180 2.9271436 10881.3300 31.142233 1982-1999 –> 2000-2009 5.070874 28388.8481
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 2180 2.9271436 10881.3300 31.142233 1982-1999 –> 2000-2009 5.070874 28388.8481
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2180 2.9263170 10882.0987 30.976023 1982-1999 –> 2000-2009 5.068655 28386.4043
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2180 2.9263170 10882.0987 30.976023 1982-1999 –> 2000-2009 5.068655 28386.4043
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2180 2.9263170 10882.0987 30.976023 1982-1999 –> 2000-2009 5.068655 28386.4043
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2180 2.9256214 10881.0620 31.490397 1982-1999 –> 2000-2009 5.066909 28381.4364
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2180 2.9256214 10881.0620 31.490397 1982-1999 –> 2000-2009 5.066909 28381.4364
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2180 2.9256214 10881.0620 31.490397 1982-1999 –> 2000-2009 5.066909 28381.4364
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2269 2.9291023 11330.1135 40.038048 2000-2009 –> 2010-2019 5.859823 22218.7687
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 2269 2.9291023 11330.1135 40.038048 2000-2009 –> 2010-2019 5.859823 22218.7687
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 2269 2.9291023 11330.1135 40.038048 2000-2009 –> 2010-2019 5.859823 22218.7687
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2269 2.9332149 11334.4805 39.694229 2000-2009 –> 2010-2019 5.866039 22224.2629
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2269 2.9278627 11328.1925 39.841020 2000-2009 –> 2010-2019 5.853484 22209.2546
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate 2269 2.9332149 11334.4805 39.694229 2000-2009 –> 2010-2019 5.866039 22224.2629
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 2269 2.9332149 11334.4805 39.694229 2000-2009 –> 2010-2019 5.866039 22224.2629
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + oxygen + aou + phosphate_star 2269 2.9332149 11334.4805 39.694229 2000-2009 –> 2010-2019 5.866039 22224.2629
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2269 2.9278627 11328.1925 39.841020 2000-2009 –> 2010-2019 5.853484 22209.2546
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 2269 2.9278627 11328.1925 39.841020 2000-2009 –> 2010-2019 5.853484 22209.2546
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1874 2.1853867 8262.3409 8.414958 1982-1999 –> 2000-2009 4.076105 22844.4168
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1874 2.1853867 8262.3409 8.414958 1982-1999 –> 2000-2009 4.076105 22844.4168
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1874 2.1853867 8262.3409 8.414958 1982-1999 –> 2000-2009 4.076105 22844.4168
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1874 2.1933602 8275.9909 8.464467 1982-1999 –> 2000-2009 4.089813 22879.5253
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1874 2.1940611 8277.1884 8.466176 1982-1999 –> 2000-2009 4.091922 22885.9818
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1874 2.1940611 8277.1884 8.466176 1982-1999 –> 2000-2009 4.091922 22885.9818
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1874 2.1940611 8277.1884 8.466176 1982-1999 –> 2000-2009 4.091922 22885.9818
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1874 2.1612514 8220.7181 7.893376 1982-1999 –> 2000-2009 4.036911 22746.1298
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1874 2.1612514 8220.7181 7.893376 1982-1999 –> 2000-2009 4.036911 22746.1298
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1874 2.1612514 8220.7181 7.893376 1982-1999 –> 2000-2009 4.036911 22746.1298
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1947 2.4177604 8977.1320 8.454745 2000-2009 –> 2010-2019 4.603147 17239.4730
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1947 2.4177604 8977.1320 8.454745 2000-2009 –> 2010-2019 4.603147 17239.4730
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1947 2.4177604 8977.1320 8.454745 2000-2009 –> 2010-2019 4.603147 17239.4730
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1947 2.3864929 8926.4447 9.133938 2000-2009 –> 2010-2019 4.601825 17239.7934
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate 1947 2.3864929 8926.4447 9.133938 2000-2009 –> 2010-2019 4.601825 17239.7934
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + phosphate_star 1947 2.3864929 8926.4447 9.133938 2000-2009 –> 2010-2019 4.601825 17239.7934
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + oxygen + aou + silicate 1947 2.3643636 8890.1683 8.162026 2000-2009 –> 2010-2019 4.548705 17150.7162
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1947 2.3763489 8909.8577 8.844696 2000-2009 –> 2010-2019 4.537600 17130.5758
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1947 2.3763489 8909.8577 8.844696 2000-2009 –> 2010-2019 4.537600 17130.5758
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1947 2.3763489 8909.8577 8.844696 2000-2009 –> 2010-2019 4.537600 17130.5758
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1324 1.8544164 5406.6747 9.352571 1982-1999 –> 2000-2009 3.450862 15058.0298
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1324 1.8544164 5406.6747 9.352571 1982-1999 –> 2000-2009 3.450862 15058.0298
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1324 1.8544164 5406.6747 9.352571 1982-1999 –> 2000-2009 3.450862 15058.0298
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1324 1.8602504 5414.9923 9.361206 1982-1999 –> 2000-2009 3.459215 15074.4023
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1324 1.8611114 5416.2175 9.354942 1982-1999 –> 2000-2009 3.461445 15080.0008
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1324 1.8611114 5416.2175 9.354942 1982-1999 –> 2000-2009 3.461445 15080.0008
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1324 1.8611114 5416.2175 9.354942 1982-1999 –> 2000-2009 3.461445 15080.0008
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1324 1.8163894 5351.8098 9.232290 1982-1999 –> 2000-2009 3.442998 15098.7772
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1324 1.8163894 5351.8098 9.232290 1982-1999 –> 2000-2009 3.442998 15098.7772
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1324 1.8163894 5351.8098 9.232290 1982-1999 –> 2000-2009 3.442998 15098.7772
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1360 1.9697576 5717.4293 9.651852 2000-2009 –> 2010-2019 3.824174 11124.1040
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1360 1.9697576 5717.4293 9.651852 2000-2009 –> 2010-2019 3.824174 11124.1040
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1360 1.9697576 5717.4293 9.651852 2000-2009 –> 2010-2019 3.824174 11124.1040
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1360 1.9760165 5726.0584 9.666162 2000-2009 –> 2010-2019 3.836267 11141.0507
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1360 1.9761237 5726.2060 9.658181 2000-2009 –> 2010-2019 3.837235 11142.4235
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1360 1.9761237 5726.2060 9.658181 2000-2009 –> 2010-2019 3.837235 11142.4235
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1360 1.9761237 5726.2060 9.658181 2000-2009 –> 2010-2019 3.837235 11142.4235
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1360 1.9324371 5665.3997 9.085089 2000-2009 –> 2010-2019 3.748826 11017.2096
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1360 1.9324371 5665.3997 9.085089 2000-2009 –> 2010-2019 3.748826 11017.2096
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1360 1.9324371 5665.3997 9.085089 2000-2009 –> 2010-2019 3.748826 11017.2096
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 11224 1.3189963 38081.5340 15.971439 1982-1999 –> 2000-2009 2.490133 102228.5883
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 11224 1.3189963 38081.5340 15.971439 1982-1999 –> 2000-2009 2.490133 102228.5883
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 11224 1.3189963 38081.5340 15.971439 1982-1999 –> 2000-2009 2.490133 102228.5883
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 11224 1.3187849 38077.9364 15.962730 1982-1999 –> 2000-2009 2.488818 102186.6450
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11224 1.3186145 38075.0354 15.950113 1982-1999 –> 2000-2009 2.487373 102139.4350
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 11224 1.3186150 38075.0434 15.950312 1982-1999 –> 2000-2009 2.487361 102138.9912
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 11224 1.3186150 38075.0434 15.950312 1982-1999 –> 2000-2009 2.487361 102138.9912
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11224 1.3186150 38075.0434 15.950312 1982-1999 –> 2000-2009 2.487361 102138.9912
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 11224 1.3186970 38074.4400 16.001226 1982-1999 –> 2000-2009 2.488354 102168.0855
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 11224 1.3775899 39057.2243 16.750313 1982-1999 –> 2000-2009 2.617614 105528.8068
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 11207 1.4639299 40360.6136 12.963230 2000-2009 –> 2010-2019 2.782926 78442.1476
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 11207 1.4639299 40360.6136 12.963230 2000-2009 –> 2010-2019 2.782926 78442.1476
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 11207 1.4639299 40360.6136 12.963230 2000-2009 –> 2010-2019 2.782926 78442.1476
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 11207 1.4641258 40363.6126 12.947702 2000-2009 –> 2010-2019 2.782911 78441.5490
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11207 1.4644109 40367.9773 12.930189 2000-2009 –> 2010-2019 2.783025 78443.0126
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate 11207 1.4644059 40367.9003 12.929960 2000-2009 –> 2010-2019 2.783021 78442.9437
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 11207 1.4644059 40367.9003 12.929960 2000-2009 –> 2010-2019 2.783021 78442.9437
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11207 1.4644059 40367.9003 12.929960 2000-2009 –> 2010-2019 2.783021 78442.9437
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 11207 1.4656759 40385.3306 13.168099 2000-2009 –> 2010-2019 2.784373 78459.7707
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 11207 1.5203069 41207.5868 14.075793 2000-2009 –> 2010-2019 2.897897 80264.8111

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 2.371429 1094.8156
Atlantic (-Inf,26] 2000-2009 –> 2010-2019 2.195552 721.2481
Atlantic (26,26.5] 1982-1999 –> 2000-2009 7.224629 12697.7923
Atlantic (26,26.5] 2000-2009 –> 2010-2019 7.291886 8776.4700
Atlantic (26.5,26.75] 1982-1999 –> 2000-2009 6.177734 15079.5097
Atlantic (26.5,26.75] 2000-2009 –> 2010-2019 6.637722 10764.2047
Atlantic (26.75,27] 1982-1999 –> 2000-2009 3.657563 19726.6045
Atlantic (26.75,27] 2000-2009 –> 2010-2019 4.372501 16120.2145
Atlantic (27,27.25] 1982-1999 –> 2000-2009 3.556277 16450.6089
Atlantic (27,27.25] 2000-2009 –> 2010-2019 4.112511 13593.5222
Atlantic (27.25,27.5] 1982-1999 –> 2000-2009 5.002878 20659.8567
Atlantic (27.25,27.5] 2000-2009 –> 2010-2019 6.112119 15863.1076
Atlantic (27.5,27.75] 1982-1999 –> 2000-2009 4.521203 26260.1138
Atlantic (27.5,27.75] 2000-2009 –> 2010-2019 5.137587 20409.4794
Atlantic (27.75,27.85] 1982-1999 –> 2000-2009 3.221202 7987.9846
Atlantic (27.75,27.85] 2000-2009 –> 2010-2019 3.350143 6016.9616
Atlantic (27.85,27.95] 1982-1999 –> 2000-2009 5.639919 10221.4372
Atlantic (27.85,27.95] 2000-2009 –> 2010-2019 6.327873 8003.8494
Atlantic (27.95,28.05] 1982-1999 –> 2000-2009 9.319633 15437.4103
Atlantic (27.95,28.05] 2000-2009 –> 2010-2019 8.886237 10909.6352
Atlantic (28.05,28.1] 1982-1999 –> 2000-2009 1.893706 4575.3060
Atlantic (28.05,28.1] 2000-2009 –> 2010-2019 2.039687 3588.9128
Atlantic (28.1,28.15] 1982-1999 –> 2000-2009 1.402741 4183.6032
Atlantic (28.1,28.15] 2000-2009 –> 2010-2019 1.585749 3426.1724
Atlantic (28.15,28.2] 1982-1999 –> 2000-2009 1.427583 7505.4050
Atlantic (28.15,28.2] 2000-2009 –> 2010-2019 1.588000 5593.2244
Atlantic (28.2, Inf] 1982-1999 –> 2000-2009 1.346642 11720.8933
Atlantic (28.2, Inf] 2000-2009 –> 2010-2019 1.520110 9742.2656
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2009 12.754634 73839.8900
Indo-Pacific (-Inf,26] 2000-2009 –> 2010-2019 12.250391 52398.2974
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2009 8.967778 69554.4645
Indo-Pacific (26,26.5] 2000-2009 –> 2010-2019 9.278055 49893.1936
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2009 7.812995 54570.9005
Indo-Pacific (26.5,26.75] 2000-2009 –> 2010-2019 8.181434 39549.2951
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2009 7.797295 63713.0563
Indo-Pacific (26.75,27] 2000-2009 –> 2010-2019 8.623460 47392.2595
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2009 7.619116 75963.1438
Indo-Pacific (27,27.25] 2000-2009 –> 2010-2019 8.916860 57819.3304
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2009 6.538178 63826.6485
Indo-Pacific (27.25,27.5] 2000-2009 –> 2010-2019 7.369844 48863.1984
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2009 5.418611 59700.9965
Indo-Pacific (27.5,27.75] 2000-2009 –> 2010-2019 6.705523 46955.1800
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2009 4.613357 21336.9001
Indo-Pacific (27.75,27.85] 2000-2009 –> 2010-2019 5.603306 17570.8008
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2009 5.069019 28385.8914
Indo-Pacific (27.85,27.95] 2000-2009 –> 2010-2019 5.860408 22218.1122
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2009 4.070463 22830.9110
Indo-Pacific (27.95,28.05] 2000-2009 –> 2010-2019 4.577642 17198.0243
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2009 3.452513 15078.4826
Indo-Pacific (28.05,28.1] 2000-2009 –> 2010-2019 3.806697 11099.2262
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2009 2.501464 102512.5711
Indo-Pacific (28.1, Inf] 2000-2009 –> 2010-2019 2.794605 78626.4417

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
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

Version Author Date
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

RMSE was plotted to compare the agreement for one model applied to two adjacent eras (ie check whether the same predictor combination performs equal in both eras).

6.2.1 All models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_all_fitted_wide_eras$rmse,
        lm_all_fitted_wide_eras$rmse_sum - lm_all_fitted_wide_eras$rmse))

lm_all_fitted_wide_eras %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Version Author Date
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_best$rmse,
        lm_best$rmse_sum - lm_best$rmse))

lm_best %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Version Author Date
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

The number of models where a particular predictor was included were counted for each basin, density slab and compared eras

# calculate cases of predictor used
lm_all_stats <- lm_best_long %>% 
  filter(term != "(Intercept)",
         delta_coeff != 0) %>% 
  group_by(basin, eras, gamma_slab) %>% 
  count(term) %>% 
  ungroup() %>% 
  pivot_wider(values_from = n,
              names_from = term,
              values_fill = 0)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou oxygen phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26] 10 7 7 6 10 3 3
(26,26.5] 6 5 5 6 10 10 7
(26.5,26.75] 8 5 7 6 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 4 7 6 10 9 6
(27.5,27.75] 6 4 6 6 10 10 6
(27.75,27.85] 8 6 6 6 10 7 7
(27.85,27.95] 10 7 7 6 3 3 10
(27.95,28.05] 7 5 6 7 8 10 7
(28.05,28.1] 10 6 7 6 7 7 7
(28.1,28.15] 7 6 7 6 7 10 7
(28.15,28.2] 7 6 7 6 10 7 7
(28.2, Inf] 7 6 7 6 7 10 7
total 110.00 78.00 93.00 85.00 111.00 116.00 90.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26] 7 5 7 6 10 8 7
(26,26.5] 5 4 6 6 10 10 7
(26.5,26.75] 8 5 7 6 7 10 7
(26.75,27] 10 7 7 5 4 10 4
(27,27.25] 7 4 6 6 10 10 5
(27.25,27.5] 6 4 6 6 10 10 6
(27.5,27.75] 6 4 6 6 10 10 6
(27.75,27.85] 7 5 7 6 10 8 7
(27.85,27.95] 10 7 6 7 6 6 7
(27.95,28.05] 7 5 6 7 8 10 7
(28.05,28.1] 7 6 7 6 10 7 7
(28.1,28.15] 10 6 8 5 10 4 4
(28.15,28.2] 7 6 7 6 7 10 7
(28.2, Inf] 7 6 7 6 7 10 7
total 104.00 74.00 93.00 84.00 119.00 123.00 88.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26] 10 7 7 6 10 3 3
(26,26.5] 7 5 7 6 8 10 7
(26.5,26.75] 10 7 7 5 4 10 4
(26.75,27] 10 7 7 6 3 3 10
(27,27.25] 10 6 7 7 6 6 7
(27.25,27.5] 7 6 5 6 7 10 9
(27.5,27.75] 6 5 6 5 10 10 7
(27.75,27.85] 10 7 7 6 3 10 3
(27.85,27.95] 10 7 7 6 3 10 3
(27.95,28.05] 7 6 7 6 7 10 7
(28.05,28.1] 7 6 7 6 7 10 7
(28.1, Inf] 6 4 6 7 9 10 7
total 100.00 73.00 80.00 72.00 77.00 102.00 74.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26] 10 7 7 6 10 3 3
(26,26.5] 6 5 5 7 9 10 7
(26.5,26.75] 10 7 7 5 4 10 4
(26.75,27] 10 7 7 6 3 3 10
(27,27.25] 10 7 7 6 3 3 10
(27.25,27.5] 7 6 5 5 6 10 10
(27.5,27.75] 5 4 5 4 10 10 9
(27.75,27.85] 10 7 5 6 4 5 10
(27.85,27.95] 10 7 7 6 3 3 10
(27.95,28.05] 10 7 6 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 101.00 74.00 74.00 70.00 75.00 84.00 94.00

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
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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