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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:

  • 86

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] 3 cstar_tref ~ sal + oxygen + aou 123 1.1508797 393.6284 3.726091 1982-1999 –> 2000-2009 2.546254 1132.5024
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] 4 cstar_tref ~ sal + oxygen + aou + silicate 123 1.1028450 385.1406 4.198712 1982-1999 –> 2000-2009 2.462101 1115.1051
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 ~ temp + oxygen + aou + silicate + phosphate 123 1.4210216 449.4974 6.176266 1982-1999 –> 2000-2009 3.082510 1264.9848
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 107 1.2078500 356.0650 3.540525 2000-2009 –> 2010-2019 2.245180 726.1398
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] 3 cstar_tref ~ sal + oxygen + aou 107 1.3409250 376.4318 3.361434 2000-2009 –> 2010-2019 2.491805 770.0602
Atlantic (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate 107 1.2078500 356.0650 3.540525 2000-2009 –> 2010-2019 2.245180 726.1398
Atlantic (-Inf,26] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 107 1.2078500 356.0650 3.540525 2000-2009 –> 2010-2019 2.245180 726.1398
Atlantic (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 107 1.2078500 356.0650 3.540525 2000-2009 –> 2010-2019 2.245180 726.1398
Atlantic (-Inf,26] 4 cstar_tref ~ sal + oxygen + aou + silicate 107 1.3267995 376.1656 3.302084 2000-2009 –> 2010-2019 2.429645 761.3062
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 ~ temp + oxygen + aou + silicate + phosphate 107 1.5143272 406.4567 5.594427 2000-2009 –> 2010-2019 2.935349 855.9541
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] 4 cstar_tref ~ sal + oxygen + aou + silicate 821 4.0442154 4636.2433 17.992594 1982-1999 –> 2000-2009 8.055075 13212.4731
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 ~ temp + aou + silicate + phosphate + phosphate_star 821 4.3237117 4747.9726 13.117377 1982-1999 –> 2000-2009 8.558811 13492.1258
Atlantic (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 821 4.3237117 4747.9726 13.117377 1982-1999 –> 2000-2009 8.558811 13492.1258
Atlantic (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 821 4.3237117 4747.9726 13.117377 1982-1999 –> 2000-2009 8.558811 13492.1258
Atlantic (26,26.5] 4 cstar_tref ~ temp + oxygen + silicate + phosphate 821 4.5329123 4823.5578 12.329884 1982-1999 –> 2000-2009 8.897583 13657.6258
Atlantic (26,26.5] 5 cstar_tref ~ temp + oxygen + silicate + phosphate + phosphate_star 821 4.5329123 4823.5578 12.329884 1982-1999 –> 2000-2009 8.897583 13657.6258
Atlantic (26,26.5] 4 cstar_tref ~ temp + oxygen + silicate + phosphate_star 821 4.5329123 4823.5578 12.329884 1982-1999 –> 2000-2009 8.897583 13657.6258
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] 4 cstar_tref ~ sal + oxygen + aou + silicate 792 3.9909144 4451.8869 12.665619 2000-2009 –> 2010-2019 8.035130 9088.1302
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 ~ temp + aou + silicate + phosphate + phosphate_star 792 4.2186716 4541.7988 11.511898 2000-2009 –> 2010-2019 8.542383 9289.7714
Atlantic (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 792 4.2186716 4541.7988 11.511898 2000-2009 –> 2010-2019 8.542383 9289.7714
Atlantic (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 792 4.2186716 4541.7988 11.511898 2000-2009 –> 2010-2019 8.542383 9289.7714
Atlantic (26,26.5] 4 cstar_tref ~ temp + oxygen + silicate + phosphate 792 4.4258792 4615.7495 12.162944 2000-2009 –> 2010-2019 8.958792 9439.3073
Atlantic (26,26.5] 4 cstar_tref ~ temp + oxygen + silicate + phosphate_star 792 4.4258792 4615.7495 12.162944 2000-2009 –> 2010-2019 8.958792 9439.3073
Atlantic (26,26.5] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 792 4.4258792 4615.7495 12.162944 2000-2009 –> 2010-2019 8.958792 9439.3073
Atlantic (26.5,26.75] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1062 3.1882859 5488.5682 10.210495 1982-1999 –> 2000-2009 6.286899 15174.8634
Atlantic (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 1062 3.1882859 5488.5682 10.210495 1982-1999 –> 2000-2009 6.286899 15174.8634
Atlantic (26.5,26.75] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 1062 3.1882859 5488.5682 10.210495 1982-1999 –> 2000-2009 6.286899 15174.8634
Atlantic (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 1062 3.1882859 5488.5682 10.210495 1982-1999 –> 2000-2009 6.286899 15174.8634
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 ~ 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] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 991 3.6068677 5366.9245 11.544208 2000-2009 –> 2010-2019 6.795154 10855.4927
Atlantic (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 991 3.6068677 5366.9245 11.544208 2000-2009 –> 2010-2019 6.795154 10855.4927
Atlantic (26.5,26.75] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 991 3.6068677 5366.9245 11.544208 2000-2009 –> 2010-2019 6.795154 10855.4927
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 991 3.5344503 5326.7257 11.170343 2000-2009 –> 2010-2019 6.751139 10834.1316
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 ~ 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 ~ 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 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 ~ 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] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1559 2.1052588 6757.4093 9.766882 1982-1999 –> 2000-2009 4.368811 18445.1436
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] 4 cstar_tref ~ sal + oxygen + silicate + phosphate 1559 2.1608863 6838.7269 10.174447 1982-1999 –> 2000-2009 4.553159 18815.2804
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 1559 2.1608863 6838.7269 10.174447 1982-1999 –> 2000-2009 4.553159 18815.2804
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] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1559 2.2857653 7015.9038 13.732662 1982-1999 –> 2000-2009 4.362188 18255.0358
Atlantic (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + silicate + 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] 4 cstar_tref ~ sal + oxygen + silicate + phosphate 1614 2.3175306 7305.4747 15.091983 2000-2009 –> 2010-2019 4.478417 14144.2016
Atlantic (27,27.25] 5 cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 1614 2.3175306 7305.4747 15.091983 2000-2009 –> 2010-2019 4.478417 14144.2016
Atlantic (27,27.25] 4 cstar_tref ~ sal + oxygen + silicate + phosphate_star 1614 2.3175306 7305.4747 15.091983 2000-2009 –> 2010-2019 4.478417 14144.2016
Atlantic (27,27.25] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1614 2.3175306 7305.4747 15.091983 2000-2009 –> 2010-2019 4.478417 14144.2016
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1614 2.6746614 7770.1136 13.624979 2000-2009 –> 2010-2019 4.960427 14786.0174
Atlantic (27.25,27.5] 3 cstar_tref ~ sal + aou + phosphate 1594 3.2052360 8246.9129 21.838176 1982-1999 –> 2000-2009 6.008523 22357.5650
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 1594 3.0934755 8135.7692 19.589218 1982-1999 –> 2000-2009 5.513379 21401.9159
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] 4 cstar_tref ~ sal + oxygen + aou + phosphate 1594 3.0934755 8135.7692 19.589218 1982-1999 –> 2000-2009 5.513379 21401.9159
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 1594 3.0934755 8135.7692 19.589218 1982-1999 –> 2000-2009 5.513379 21401.9159
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 1594 3.0934755 8135.7692 19.589218 1982-1999 –> 2000-2009 5.513379 21401.9159
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 ~ temp + aou + silicate + phosphate + phosphate_star 1594 3.4062061 8444.7860 14.081030 1982-1999 –> 2000-2009 6.053625 22230.1514
Atlantic (27.25,27.5] 3 cstar_tref ~ sal + aou + phosphate 1540 3.8327915 8518.5983 24.636192 2000-2009 –> 2010-2019 7.038028 16765.5113
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 1540 3.7719680 8471.3291 22.817810 2000-2009 –> 2010-2019 6.865443 16607.0983
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] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1540 3.8098336 8502.0941 29.010755 2000-2009 –> 2010-2019 7.138567 16871.5326
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + oxygen + aou + phosphate 1540 3.7719680 8471.3291 22.817810 2000-2009 –> 2010-2019 6.865443 16607.0983
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 1540 3.7719680 8471.3291 22.817810 2000-2009 –> 2010-2019 6.865443 16607.0983
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 1540 3.7719680 8471.3291 22.817810 2000-2009 –> 2010-2019 6.865443 16607.0983
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 (27.5,27.75] 3 cstar_tref ~ sal + aou + phosphate 2189 2.7630085 10671.5623 13.627639 1982-1999 –> 2000-2009 5.238058 28046.1489
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 2189 2.7460553 10646.6173 14.063628 1982-1999 –> 2000-2009 5.011923 27363.7595
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] 4 cstar_tref ~ sal + oxygen + aou + phosphate 2189 2.7460553 10646.6173 14.063628 1982-1999 –> 2000-2009 5.011923 27363.7595
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 2189 2.7460553 10646.6173 14.063628 1982-1999 –> 2000-2009 5.011923 27363.7595
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 2189 2.7460553 10646.6173 14.063628 1982-1999 –> 2000-2009 5.011923 27363.7595
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 ~ temp + oxygen + aou + silicate + phosphate_star 2189 3.5623556 11788.0204 18.548379 1982-1999 –> 2000-2009 6.373702 30118.0530
Atlantic (27.5,27.75] 3 cstar_tref ~ sal + aou + phosphate 2130 3.2316574 11051.6374 13.890500 2000-2009 –> 2010-2019 5.994666 21723.1998
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 2130 3.2314900 11053.4168 13.926101 2000-2009 –> 2010-2019 5.977545 21700.0341
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] 4 cstar_tref ~ sal + oxygen + aou + phosphate 2130 3.2314900 11053.4168 13.926101 2000-2009 –> 2010-2019 5.977545 21700.0341
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 2130 3.2314900 11053.4168 13.926101 2000-2009 –> 2010-2019 5.977545 21700.0341
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 2130 3.2314900 11053.4168 13.926101 2000-2009 –> 2010-2019 5.977545 21700.0341
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] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 2130 3.2350841 11058.1521 15.479156 2000-2009 –> 2010-2019 6.418275 22351.4821
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 779 1.9435752 3258.0426 12.440824 1982-1999 –> 2000-2009 3.626872 8390.8318
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate 779 1.7415675 3087.0622 12.268139 1982-1999 –> 2000-2009 3.550245 8409.5128
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] 4 cstar_tref ~ sal + oxygen + aou + phosphate 779 1.9435752 3258.0426 12.440824 1982-1999 –> 2000-2009 3.626872 8390.8318
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 779 1.9435752 3258.0426 12.440824 1982-1999 –> 2000-2009 3.626872 8390.8318
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 779 1.9435752 3258.0426 12.440824 1982-1999 –> 2000-2009 3.626872 8390.8318
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 ~ temp + aou + silicate + phosphate + phosphate_star 779 2.2593711 3494.6110 14.967474 1982-1999 –> 2000-2009 4.164493 8956.2097
Atlantic (27.75,27.85] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 779 2.2593711 3494.6110 14.967474 1982-1999 –> 2000-2009 4.164493 8956.2097
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 770 2.3063256 3484.0750 11.468815 2000-2009 –> 2010-2019 4.249901 6742.1176
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate 770 1.7941642 3097.3558 11.679683 2000-2009 –> 2010-2019 3.535732 6184.4180
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] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 770 2.2393474 3438.6894 11.391708 2000-2009 –> 2010-2019 4.548157 6965.0239
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + oxygen + aou + phosphate 770 2.3063256 3484.0750 11.468815 2000-2009 –> 2010-2019 4.249901 6742.1176
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 770 2.3063256 3484.0750 11.468815 2000-2009 –> 2010-2019 4.249901 6742.1176
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 770 2.3063256 3484.0750 11.468815 2000-2009 –> 2010-2019 4.249901 6742.1176
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] 4 cstar_tref ~ sal + oxygen + silicate + phosphate_star 770 2.2514018 3446.9570 11.445854 2000-2009 –> 2010-2019 4.577979 6985.2359
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 738 3.1780149 3814.9882 25.036548 1982-1999 –> 2000-2009 5.907893 10303.7666
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 738 3.1780149 3814.9882 25.036548 1982-1999 –> 2000-2009 5.907893 10303.7666
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 738 3.1780149 3814.9882 25.036548 1982-1999 –> 2000-2009 5.907893 10303.7666
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] 4 cstar_tref ~ temp + aou + phosphate + 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 + 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 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 + phosphate + phosphate_star 814 3.6638256 4436.0027 23.510018 2000-2009 –> 2010-2019 6.499699 8080.8646
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 ~ 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] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 924 4.6283831 5465.7180 24.458248 1982-1999 –> 2000-2009 9.505551 15545.4612
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 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] 4 cstar_tref ~ temp + oxygen + silicate + phosphate 924 4.6310992 5466.8022 24.502281 1982-1999 –> 2000-2009 9.509498 15547.3912
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + oxygen + silicate + phosphate_star 924 4.6310992 5466.8022 24.502281 1982-1999 –> 2000-2009 9.509498 15547.3912
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 924 4.6310992 5466.8022 24.502281 1982-1999 –> 2000-2009 9.509498 15547.3912
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 ~ 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] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 946 4.4135150 5505.6300 23.554547 2000-2009 –> 2010-2019 9.041898 10971.3481
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 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 (27.95,28.05] 4 cstar_tref ~ temp + oxygen + silicate + phosphate 946 4.4141232 5505.8907 23.642971 2000-2009 –> 2010-2019 9.045222 10972.6929
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + oxygen + silicate + phosphate_star 946 4.4141232 5505.8907 23.642971 2000-2009 –> 2010-2019 9.045222 10972.6929
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 946 4.4141232 5505.8907 23.642971 2000-2009 –> 2010-2019 9.045222 10972.6929
Atlantic (28.05,28.1] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 622 1.0511382 1839.2023 7.028897 1982-1999 –> 2000-2009 1.944028 4660.9523
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] 4 cstar_tref ~ sal + oxygen + aou + phosphate 622 1.0511382 1839.2023 7.028897 1982-1999 –> 2000-2009 1.944028 4660.9523
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 622 1.0511382 1839.2023 7.028897 1982-1999 –> 2000-2009 1.944028 4660.9523
Atlantic (28.05,28.1] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 622 1.0511382 1839.2023 7.028897 1982-1999 –> 2000-2009 1.944028 4660.9523
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 ~ 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] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 616 1.0817571 1856.9511 9.421522 2000-2009 –> 2010-2019 2.132895 3696.1534
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] 4 cstar_tref ~ sal + oxygen + aou + phosphate 616 1.0817571 1856.9511 9.421522 2000-2009 –> 2010-2019 2.132895 3696.1534
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 616 1.0817571 1856.9511 9.421522 2000-2009 –> 2010-2019 2.132895 3696.1534
Atlantic (28.05,28.1] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 616 1.0817571 1856.9511 9.421522 2000-2009 –> 2010-2019 2.132895 3696.1534
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 ~ temp + aou + silicate + phosphate + phosphate_star 616 1.0205420 1787.1836 13.783299 2000-2009 –> 2010-2019 2.096918 3657.9017
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 616 1.0205420 1787.1836 13.783299 2000-2009 –> 2010-2019 2.096918 3657.9017
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 616 1.0205420 1787.1836 13.783299 2000-2009 –> 2010-2019 2.096918 3657.9017
Atlantic (28.1,28.15] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 732 0.7812247 1727.8755 5.455119 1982-1999 –> 2000-2009 1.453100 4384.9287
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] 4 cstar_tref ~ sal + oxygen + aou + phosphate 732 0.7812247 1727.8755 5.455119 1982-1999 –> 2000-2009 1.453100 4384.9287
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 732 0.7812247 1727.8755 5.455119 1982-1999 –> 2000-2009 1.453100 4384.9287
Atlantic (28.1,28.15] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 732 0.7812247 1727.8755 5.455119 1982-1999 –> 2000-2009 1.453100 4384.9287
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 ~ 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] 4 cstar_tref ~ sal + oxygen + aou + 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 ~ temp + aou + silicate + phosphate + phosphate_star 701 0.7962737 1683.9590 12.056547 2000-2009 –> 2010-2019 1.606750 3467.6492
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 701 0.7962737 1683.9590 12.056547 2000-2009 –> 2010-2019 1.606750 3467.6492
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 701 0.7962737 1683.9590 12.056547 2000-2009 –> 2010-2019 1.606750 3467.6492
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 1187 0.6943715 2514.6481 2.669523 1982-1999 –> 2000-2009 1.472795 7723.9293
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] 4 cstar_tref ~ sal + oxygen + aou + phosphate 1187 0.6943715 2514.6481 2.669523 1982-1999 –> 2000-2009 1.472795 7723.9293
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star 1187 0.6943715 2514.6481 2.669523 1982-1999 –> 2000-2009 1.472795 7723.9293
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + oxygen + aou + phosphate_star 1187 0.6943715 2514.6481 2.669523 1982-1999 –> 2000-2009 1.472795 7723.9293
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 ~ temp + aou + silicate + phosphate + phosphate_star 1187 0.7000366 2535.9377 1.990014 1982-1999 –> 2000-2009 1.462965 7657.7868
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1187 0.7000366 2535.9377 1.990014 1982-1999 –> 2000-2009 1.462965 7657.7868
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 1187 0.7000366 2535.9377 1.990014 1982-1999 –> 2000-2009 1.462965 7657.7868
Atlantic (28.15,28.2] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1172 0.9123038 3122.8544 8.514399 2000-2009 –> 2010-2019 1.656429 5801.7891
Atlantic (28.15,28.2] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 1172 0.9123038 3122.8544 8.514399 2000-2009 –> 2010-2019 1.656429 5801.7891
Atlantic (28.15,28.2] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 1172 0.9123038 3122.8544 8.514399 2000-2009 –> 2010-2019 1.656429 5801.7891
Atlantic (28.15,28.2] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 1172 0.9123038 3122.8544 8.514399 2000-2009 –> 2010-2019 1.656429 5801.7891
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 ~ 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] 4 cstar_tref ~ sal + aou + silicate + phosphate 2098 0.7303791 4647.5184 2.793419 1982-1999 –> 2000-2009 1.367880 11849.4961
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] 4 cstar_tref ~ sal + oxygen + silicate + phosphate 2098 0.7507207 4762.7824 8.125179 1982-1999 –> 2000-2009 1.439951 12543.8296
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + oxygen + silicate + phosphate_star 2098 0.7507207 4762.7824 8.125179 1982-1999 –> 2000-2009 1.439951 12543.8296
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 2098 0.7507207 4762.7824 8.125179 1982-1999 –> 2000-2009 1.439951 12543.8296
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] 4 cstar_tref ~ sal + aou + silicate + phosphate 2152 0.8308929 5321.7767 2.635094 2000-2009 –> 2010-2019 1.561272 9969.2950
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] 4 cstar_tref ~ sal + oxygen + silicate + phosphate 2152 0.8336201 5335.8804 5.491169 2000-2009 –> 2010-2019 1.584341 10098.6629
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 2152 0.8336201 5335.8804 5.491169 2000-2009 –> 2010-2019 1.584341 10098.6629
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 2152 0.8336201 5335.8804 5.491169 2000-2009 –> 2010-2019 1.584341 10098.6629
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 ~ temp + aou + silicate + phosphate + phosphate_star 4068 7.2871451 27717.4900 29.383995 1982-1999 –> 2000-2009 14.871325 77291.3029
Indo-Pacific (-Inf,26] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4068 7.2871451 27717.4900 29.383995 1982-1999 –> 2000-2009 14.871325 77291.3029
Indo-Pacific (-Inf,26] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4068 7.2871451 27717.4900 29.383995 1982-1999 –> 2000-2009 14.871325 77291.3029
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 ~ temp + aou + silicate + phosphate + phosphate_star 4036 7.1067899 27297.2727 25.276230 2000-2009 –> 2010-2019 14.393935 55014.7626
Indo-Pacific (-Inf,26] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4036 7.1067899 27297.2727 25.276230 2000-2009 –> 2010-2019 14.393935 55014.7626
Indo-Pacific (-Inf,26] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4036 7.1067899 27297.2727 25.276230 2000-2009 –> 2010-2019 14.393935 55014.7626
Indo-Pacific (26,26.5] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4229 4.8160239 25308.9240 41.202833 1982-1999 –> 2000-2009 9.463208 70901.9289
Indo-Pacific (26,26.5] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 4229 4.8160239 25308.9240 41.202833 1982-1999 –> 2000-2009 9.463208 70901.9289
Indo-Pacific (26,26.5] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 4229 4.8160239 25308.9240 41.202833 1982-1999 –> 2000-2009 9.463208 70901.9289
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] 4 cstar_tref ~ temp + aou + silicate + phosphate 4229 4.8254214 25325.4119 39.450835 1982-1999 –> 2000-2009 9.445182 70827.1277
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 ~ temp + oxygen + aou + silicate + phosphate_star 4229 4.8096413 25299.7074 40.660310 1982-1999 –> 2000-2009 9.429310 70803.1183
Indo-Pacific (26,26.5] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4214 4.9067156 25376.4313 41.844781 2000-2009 –> 2010-2019 9.722740 50685.3553
Indo-Pacific (26,26.5] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 4214 4.9067156 25376.4313 41.844781 2000-2009 –> 2010-2019 9.722740 50685.3553
Indo-Pacific (26,26.5] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 4214 4.9067156 25376.4313 41.844781 2000-2009 –> 2010-2019 9.722740 50685.3553
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] 4 cstar_tref ~ temp + aou + silicate + phosphate 4214 4.8943137 25355.1022 40.652137 2000-2009 –> 2010-2019 9.719735 50680.5141
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4214 4.8908804 25351.1879 41.133450 2000-2009 –> 2010-2019 9.700522 50650.8953
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4214 4.8908804 25351.1879 41.133450 2000-2009 –> 2010-2019 9.700522 50650.8953
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 ~ 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 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 ~ 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 ~ 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 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 ~ 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 + aou + silicate + phosphate + phosphate_star 4017 4.2553571 23048.4198 20.824445 1982-1999 –> 2000-2009 7.929255 64033.9468
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4017 4.2553571 23048.4198 20.824445 1982-1999 –> 2000-2009 7.929255 64033.9468
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4017 4.2553571 23048.4198 20.824445 1982-1999 –> 2000-2009 7.929255 64033.9468
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 + aou + silicate + phosphate + phosphate_star 4205 4.5761631 24737.7133 19.887036 2000-2009 –> 2010-2019 8.831520 47786.1330
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4205 4.5761631 24737.7133 19.887036 2000-2009 –> 2010-2019 8.831520 47786.1330
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4205 4.5761631 24737.7133 19.887036 2000-2009 –> 2010-2019 8.831520 47786.1330
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] 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] 4 cstar_tref ~ temp + oxygen + aou + phosphate 5080 4.2762965 29191.7828 43.472924 1982-1999 –> 2000-2009 7.884365 76960.8955
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star 5080 4.2762965 29191.7828 43.472924 1982-1999 –> 2000-2009 7.884365 76960.8955
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + oxygen + aou + 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 + 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 + aou + silicate + phosphate + phosphate_star 4856 4.9583633 29344.3782 34.171998 2000-2009 –> 2010-2019 9.258327 58594.2370
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4856 4.9583633 29344.3782 34.171998 2000-2009 –> 2010-2019 9.258327 58594.2370
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4856 4.9583633 29344.3782 34.171998 2000-2009 –> 2010-2019 9.258327 58594.2370
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 + aou + silicate + phosphate + phosphate_star 4470 3.6583191 24294.5244 32.075781 1982-1999 –> 2000-2009 6.728795 64412.0534
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 4470 3.6741264 24331.0700 31.405290 1982-1999 –> 2000-2009 6.745257 64449.9650
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 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 + 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] 4 cstar_tref ~ sal + oxygen + silicate + phosphate 4470 3.7184739 24438.3318 30.547954 1982-1999 –> 2000-2009 6.805761 64640.0465
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + oxygen + silicate + phosphate_star 4470 3.7184739 24438.3318 30.547954 1982-1999 –> 2000-2009 6.805761 64640.0465
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] 4 cstar_tref ~ temp + oxygen + aou + silicate 4470 3.4471014 23760.8618 34.608093 1982-1999 –> 2000-2009 6.750361 65029.8433
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 + aou + silicate + phosphate + phosphate_star 4504 4.1272586 25565.6600 31.996313 2000-2009 –> 2010-2019 7.785578 49860.1844
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 4504 4.1630159 25641.3662 30.405172 2000-2009 –> 2010-2019 7.837142 49972.4362
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4504 4.1272586 25565.6600 31.996313 2000-2009 –> 2010-2019 7.785578 49860.1844
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 4504 4.1272586 25565.6600 31.996313 2000-2009 –> 2010-2019 7.785578 49860.1844
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + oxygen + silicate + phosphate 4504 4.2266419 25777.9998 29.056755 2000-2009 –> 2010-2019 7.945116 50216.3316
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 4504 4.2266419 25777.9998 29.056755 2000-2009 –> 2010-2019 7.945116 50216.3316
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] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 4498 3.2598479 23407.1692 21.545886 1982-1999 –> 2000-2009 5.621441 60350.0047
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] 4 cstar_tref ~ sal + oxygen + silicate + phosphate 4498 3.3151122 23558.4003 24.409495 1982-1999 –> 2000-2009 5.692335 60608.1629
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 4498 3.3151122 23558.4003 24.409495 1982-1999 –> 2000-2009 5.692335 60608.1629
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + oxygen + silicate + phosphate_star 4498 3.3151122 23558.4003 24.409495 1982-1999 –> 2000-2009 5.692335 60608.1629
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 4498 3.3151122 23558.4003 24.409495 1982-1999 –> 2000-2009 5.692335 60608.1629
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4498 3.2628903 23417.5613 14.449524 1982-1999 –> 2000-2009 5.705839 60911.4237
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4498 3.2628903 23417.5613 14.449524 1982-1999 –> 2000-2009 5.705839 60911.4237
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 + aou + silicate + phosphate_star 4442 3.9974673 24928.0621 24.472685 2000-2009 –> 2010-2019 7.257315 48335.2313
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + oxygen + aou + silicate 4442 3.7422237 24341.8871 10.136774 2000-2009 –> 2010-2019 6.944639 47589.1496
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4442 3.7122834 24272.5232 10.437560 2000-2009 –> 2010-2019 6.834042 47292.3102
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + oxygen + aou + silicate + 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 + oxygen + silicate + phosphate_star 4442 4.0885036 25128.1125 28.115542 2000-2009 –> 2010-2019 7.403616 48686.5128
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4442 3.9175879 24750.7398 19.561048 2000-2009 –> 2010-2019 7.180478 48168.3011
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ temp + oxygen + aou + silicate 4442 3.9185524 24750.9269 19.767369 2000-2009 –> 2010-2019 7.204557 48229.9918
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4442 3.9175879 24750.7398 19.561048 2000-2009 –> 2010-2019 7.180478 48168.3011
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 4442 3.9175879 24750.7398 19.561048 2000-2009 –> 2010-2019 7.180478 48168.3011
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 + oxygen + aou + silicate + phosphate 1851 3.0123528 9349.1852 30.142298 2000-2009 –> 2010-2019 5.729890 17731.7647
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 1851 3.0123528 9349.1852 30.142298 2000-2009 –> 2010-2019 5.729890 17731.7647
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 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 + oxygen + 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] 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 + aou + silicate + phosphate + phosphate_star 2269 2.9684598 11390.6832 38.192601 2000-2009 –> 2010-2019 5.894777 22272.7819
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star 2269 2.9684598 11390.6832 38.192601 2000-2009 –> 2010-2019 5.894777 22272.7819
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] 4 cstar_tref ~ temp + oxygen + aou + silicate 2269 2.9319157 11332.4701 41.103986 2000-2009 –> 2010-2019 5.889986 22259.6238
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] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1874 2.2254226 8328.3824 8.213484 1982-1999 –> 2000-2009 4.147586 23025.3381
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 1874 2.2254226 8328.3824 8.213484 1982-1999 –> 2000-2009 4.147586 23025.3381
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 1874 2.2254226 8328.3824 8.213484 1982-1999 –> 2000-2009 4.147586 23025.3381
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 1874 2.2254226 8328.3824 8.213484 1982-1999 –> 2000-2009 4.147586 23025.3381
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 ~ 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] 4 cstar_tref ~ sal + oxygen + aou + silicate 1947 2.4179186 8975.3868 8.461987 2000-2009 –> 2010-2019 4.615765 17257.0365
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] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 1947 2.4146387 8970.1010 9.079886 2000-2009 –> 2010-2019 4.647217 17310.5156
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] 4 cstar_tref ~ temp + oxygen + aou + phosphate 1947 2.4146387 8970.1010 9.079886 2000-2009 –> 2010-2019 4.647217 17310.5156
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + oxygen + aou + silicate 1947 2.4039738 8952.8641 7.669491 2000-2009 –> 2010-2019 4.619368 17264.3178
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] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 1324 1.8912175 5456.7099 9.677383 1982-1999 –> 2000-2009 3.590784 15425.7957
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 1324 1.8912175 5456.7099 9.677383 1982-1999 –> 2000-2009 3.590784 15425.7957
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 1324 1.8912175 5456.7099 9.677383 1982-1999 –> 2000-2009 3.590784 15425.7957
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ sal + aou + silicate + phosphate 1324 1.9580254 5548.6371 8.723442 1982-1999 –> 2000-2009 3.578595 15274.6030
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 ~ 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] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 1360 2.0343454 5803.1864 9.914816 2000-2009 –> 2010-2019 3.925563 11259.8963
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star 1360 2.0343454 5803.1864 9.914816 2000-2009 –> 2010-2019 3.925563 11259.8963
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 1360 2.0343454 5803.1864 9.914816 2000-2009 –> 2010-2019 3.925563 11259.8963
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] 4 cstar_tref ~ sal + oxygen + aou + silicate 1360 1.9841004 5735.1633 9.418004 2000-2009 –> 2010-2019 3.914777 11246.5532
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 ~ 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] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 11224 1.6091138 42542.4782 18.147504 1982-1999 –> 2000-2009 3.008767 113936.9488
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ oxygen + aou + silicate + phosphate 11224 1.6091138 42542.4782 18.147504 1982-1999 –> 2000-2009 3.008767 113936.9488
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ oxygen + aou + silicate + phosphate_star 11224 1.6091138 42542.4782 18.147504 1982-1999 –> 2000-2009 3.008767 113936.9488
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + aou + silicate + phosphate 11224 1.4107353 39588.9379 13.634963 1982-1999 –> 2000-2009 2.687536 107247.1839
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 ~ 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 ~ temp + oxygen + aou + silicate + phosphate 11224 1.3775899 39057.2243 16.750313 1982-1999 –> 2000-2009 2.617614 105528.8068
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star 11224 1.3775899 39057.2243 16.750313 1982-1999 –> 2000-2009 2.617614 105528.8068
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + aou + silicate + phosphate 11207 1.5480882 41611.4714 10.763945 2000-2009 –> 2010-2019 2.958823 81200.4093
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] 4 cstar_tref ~ sal + oxygen + silicate + phosphate 11207 1.6961368 43658.5969 8.955224 2000-2009 –> 2010-2019 3.282345 85879.2401
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + oxygen + silicate + phosphate_star 11207 1.6961368 43658.5969 8.955224 2000-2009 –> 2010-2019 3.282345 85879.2401
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 11207 1.6961368 43658.5969 8.955224 2000-2009 –> 2010-2019 3.282345 85879.2401
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
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + phosphate 11207 1.5203069 41207.5868 14.075793 2000-2009 –> 2010-2019 2.897897 80264.8111
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + oxygen + aou + silicate + 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 2.470451 1117.4727
Atlantic (-Inf,26] 2000-2009 –> 2010-2019 2.336087 744.3552
Atlantic (26,26.5] 1982-1999 –> 2000-2009 8.139300 13227.2228
Atlantic (26,26.5] 2000-2009 –> 2010-2019 8.196999 9141.1127
Atlantic (26.5,26.75] 1982-1999 –> 2000-2009 6.187005 15083.2845
Atlantic (26.5,26.75] 2000-2009 –> 2010-2019 6.674213 10784.4096
Atlantic (26.75,27] 1982-1999 –> 2000-2009 3.657563 19726.6045
Atlantic (26.75,27] 2000-2009 –> 2010-2019 4.382011 16134.5363
Atlantic (27,27.25] 1982-1999 –> 2000-2009 4.043247 17591.9084
Atlantic (27,27.25] 2000-2009 –> 2010-2019 4.350704 13943.1286
Atlantic (27.25,27.5] 1982-1999 –> 2000-2009 5.374883 21220.3164
Atlantic (27.25,27.5] 2000-2009 –> 2010-2019 6.572661 16314.7969
Atlantic (27.5,27.75] 1982-1999 –> 2000-2009 4.997487 27344.0775
Atlantic (27.5,27.75] 2000-2009 –> 2010-2019 5.684884 21247.4376
Atlantic (27.75,27.85] 1982-1999 –> 2000-2009 3.583314 8360.0877
Atlantic (27.75,27.85] 2000-2009 –> 2010-2019 3.933974 6480.9678
Atlantic (27.85,27.95] 1982-1999 –> 2000-2009 5.781538 10292.7741
Atlantic (27.85,27.95] 2000-2009 –> 2010-2019 6.480406 8076.6595
Atlantic (27.95,28.05] 1982-1999 –> 2000-2009 9.432932 15505.1589
Atlantic (27.95,28.05] 2000-2009 –> 2010-2019 8.983366 10949.2105
Atlantic (28.05,28.1] 1982-1999 –> 2000-2009 1.923464 4617.4990
Atlantic (28.05,28.1] 2000-2009 –> 2010-2019 2.099812 3659.4952
Atlantic (28.1,28.15] 1982-1999 –> 2000-2009 1.419778 4241.8193
Atlantic (28.1,28.15] 2000-2009 –> 2010-2019 1.594129 3441.3902
Atlantic (28.15,28.2] 1982-1999 –> 2000-2009 1.455960 7627.0921
Atlantic (28.15,28.2] 2000-2009 –> 2010-2019 1.599706 5633.2442
Atlantic (28.2, Inf] 1982-1999 –> 2000-2009 1.370275 11942.6092
Atlantic (28.2, Inf] 2000-2009 –> 2010-2019 1.532431 9808.4094
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2009 13.382224 74861.2906
Indo-Pacific (-Inf,26] 2000-2009 –> 2010-2019 12.885016 53171.5226
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2009 9.225285 70255.8615
Indo-Pacific (26,26.5] 2000-2009 –> 2010-2019 9.504345 50294.5031
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2009 7.822838 54601.9799
Indo-Pacific (26.5,26.75] 2000-2009 –> 2010-2019 8.181528 39549.0720
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2009 7.860233 63891.8854
Indo-Pacific (26.75,27] 2000-2009 –> 2010-2019 8.697395 47531.9472
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2009 7.670927 76159.2980
Indo-Pacific (27,27.25] 2000-2009 –> 2010-2019 8.956492 57910.1663
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2009 6.598530 64020.8919
Indo-Pacific (27.25,27.5] 2000-2009 –> 2010-2019 7.532166 49241.2225
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2009 5.619841 60412.6558
Indo-Pacific (27.5,27.75] 2000-2009 –> 2010-2019 7.085369 47922.2720
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2009 4.613357 21336.9001
Indo-Pacific (27.75,27.85] 2000-2009 –> 2010-2019 5.647113 17625.3397
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2009 5.069019 28385.8914
Indo-Pacific (27.85,27.95] 2000-2009 –> 2010-2019 5.870415 22233.0003
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2009 4.092939 22887.2992
Indo-Pacific (27.95,28.05] 2000-2009 –> 2010-2019 4.595181 17225.2532
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2009 3.503253 15202.2411
Indo-Pacific (28.05,28.1] 2000-2009 –> 2010-2019 3.841047 11145.0183
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2009 2.703708 107233.0216
Indo-Pacific (28.1, Inf] 2000-2009 –> 2010-2019 2.984833 81495.9006

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
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
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
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
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 8 6 4 9 5 1
(26,26.5] 7 8 6 5 4 10 6
(26.5,26.75] 10 7 7 6 3 10 3
(26.75,27] 10 7 7 6 3 10 3
(27,27.25] 8 6 7 5 7 10 3
(27.25,27.5] 10 5 8 5 9 5 1
(27.5,27.75] 10 6 7 5 9 5 1
(27.75,27.85] 10 6 8 5 8 6 2
(27.85,27.95] 10 7 7 6 3 6 7
(27.95,28.05] 7 6 6 7 3 10 7
(28.05,28.1] 10 7 7 6 7 6 3
(28.1,28.15] 10 7 7 6 7 6 3
(28.15,28.2] 10 7 7 6 7 6 3
(28.2, Inf] 7 6 7 6 7 10 3
total 129.00 93.00 97.00 78.00 86.00 105.00 46.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26] 10 8 6 4 9 5 1
(26,26.5] 7 7 6 6 4 10 6
(26.5,26.75] 10 6 7 6 4 10 3
(26.75,27] 10 7 7 6 3 10 3
(27,27.25] 6 5 7 6 9 10 1
(27.25,27.5] 10 5 7 5 10 5 0
(27.5,27.75] 9 5 8 5 10 5 0
(27.75,27.85] 9 6 6 6 10 6 0
(27.85,27.95] 10 7 7 6 3 6 7
(27.95,28.05] 7 6 6 7 3 10 7
(28.05,28.1] 10 7 7 6 7 6 3
(28.1,28.15] 10 7 7 6 7 6 3
(28.15,28.2] 10 7 7 6 3 10 3
(28.2, Inf] 7 6 8 5 7 10 3
total 125.00 89.00 96.00 80.00 89.00 109.00 40.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26] 10 7 7 6 7 6 3
(26,26.5] 10 6 7 6 3 10 4
(26.5,26.75] 10 7 7 6 3 10 3
(26.75,27] 10 7 7 6 3 6 7
(27,27.25] 10 7 7 6 3 6 7
(27.25,27.5] 8 7 5 6 6 10 4
(27.5,27.75] 6 6 6 7 8 10 2
(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] 10 7 7 6 3 10 3
(28.05,28.1] 10 7 7 5 4 10 3
(28.1, Inf] 10 6 7 6 4 10 3
total 114.00 81.00 81.00 72.00 50.00 108.00 45.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26] 10 7 7 6 7 6 3
(26,26.5] 10 6 7 6 3 10 4
(26.5,26.75] 10 7 7 6 3 10 3
(26.75,27] 10 7 7 6 3 6 7
(27,27.25] 10 7 7 6 3 6 7
(27.25,27.5] 8 7 6 5 6 10 4
(27.5,27.75] 9 7 4 6 6 10 4
(27.75,27.85] 10 8 6 5 2 6 8
(27.85,27.95] 10 7 6 6 2 6 8
(27.95,28.05] 10 7 6 5 4 8 6
(28.05,28.1] 10 8 6 5 4 10 3
(28.1, Inf] 7 6 7 6 7 10 3
total 114.00 84.00 76.00 68.00 50.00 98.00 60.00

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
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
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