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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, nitrate, silicate, phosphate
# 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, "nitrate") &
#       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, "nitrate") &
#       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 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
)

3 Apply predictor threshold

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

  • Minimum: 3
  • Maximum: 9
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:

  • 99

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, 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 model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 158 1.0382074 474.2332 3.944222 1982-1999 –> 2000-2012 2.3741051 1198.9867
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 158 1.0102185 467.5972 3.339750 1982-1999 –> 2000-2012 2.3458438 1194.2659
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 158 1.0480832 477.2249 4.299021 1982-1999 –> 2000-2012 2.3837757 1201.9145
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 158 1.0440638 476.0107 4.148260 1982-1999 –> 2000-2012 2.3813170 1201.1861
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 158 1.0137290 468.6934 3.297715 1982-1999 –> 2000-2012 2.3505653 1195.7391
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 158 1.0337825 474.8835 3.684211 1982-1999 –> 2000-2012 2.3695815 1201.6062
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 158 1.0093505 469.3256 3.392692 1982-1999 –> 2000-2012 2.3449212 1197.9773
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + phosphate 158 1.0447877 476.2297 3.991338 1982-1999 –> 2000-2012 2.3809752 1201.0734
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 158 1.0432378 477.7606 3.903496 1982-1999 –> 2000-2012 2.3788630 1204.4292
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 158 1.0170935 469.7405 3.413785 1982-1999 –> 2000-2012 2.3550073 1197.1213
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 72 1.1326926 236.2692 2.855476 2000-2012 –> 2013-2019 2.1709001 710.5024
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 72 1.0834728 231.8718 2.650796 2000-2012 –> 2013-2019 2.0936914 699.4691
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 72 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.2417197 721.0407
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 72 1.1361477 236.7078 2.802670 2000-2012 –> 2013-2019 2.1802115 712.7185
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 72 1.0788874 231.2611 2.583446 2000-2012 –> 2013-2019 2.0926164 699.9545
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 72 1.1315155 238.1195 2.904684 2000-2012 –> 2013-2019 2.1652979 713.0030
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 72 1.0760286 232.8790 2.653279 2000-2012 –> 2013-2019 2.0853791 702.2046
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 72 1.1875291 245.0771 3.194201 2000-2012 –> 2013-2019 2.2307669 722.8377
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 72 1.1396017 237.1449 2.772460 2000-2012 –> 2013-2019 2.1874195 714.2898
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 72 1.0766499 230.9622 2.586451 2000-2012 –> 2013-2019 2.0937433 700.7026
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 1046 3.3042550 5482.8009 13.811611 1982-1999 –> 2000-2012 6.5688725 13433.1484
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1046 3.2403045 5441.9154 14.502344 1982-1999 –> 2000-2012 6.4880149 13376.4262
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1046 3.2389169 5443.0194 14.688990 1982-1999 –> 2000-2012 6.4823240 13375.4862
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 1046 3.3139957 5488.9589 14.956164 1982-1999 –> 2000-2012 6.6524475 13507.5183
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1046 3.3081857 5487.2880 15.351355 1982-1999 –> 2000-2012 6.6465073 13507.7285
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 1046 3.2773070 5467.6695 12.934757 1982-1999 –> 2000-2012 6.4883908 13369.5880
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 1046 3.2125948 5425.9486 13.863059 1982-1999 –> 2000-2012 6.4258946 13329.9712
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1046 3.2125528 5427.9212 13.822807 1982-1999 –> 2000-2012 6.4070517 13316.0460
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 1046 3.3407849 5505.8019 15.174084 1982-1999 –> 2000-2012 6.7113159 13553.5288
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1046 3.3345731 5503.9085 15.588587 1982-1999 –> 2000-2012 6.7050510 13553.5873
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 567 3.2403908 2956.3132 10.534106 2000-2012 –> 2013-2019 6.5446458 8439.1141
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 567 3.0857248 2900.8523 9.468161 2000-2012 –> 2013-2019 6.3260293 8342.7677
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 567 3.0339763 2883.6735 9.412245 2000-2012 –> 2013-2019 6.2728933 8326.6929
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 567 3.1723161 2932.2362 9.432214 2000-2012 –> 2013-2019 6.4863118 8421.1950
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 567 3.0977240 2907.2534 8.739067 2000-2012 –> 2013-2019 6.4059096 8394.5414
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 567 3.2242301 2952.6435 11.449224 2000-2012 –> 2013-2019 6.5015371 8420.3131
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 567 3.0466697 2888.4080 10.761888 2000-2012 –> 2013-2019 6.2592646 8314.3566
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 567 3.0166904 2879.1941 10.327831 2000-2012 –> 2013-2019 6.2292432 8307.1154
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 567 3.1999712 2942.0791 9.522004 2000-2012 –> 2013-2019 6.5407562 8447.8810
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 567 3.1227556 2916.3800 8.695414 2000-2012 –> 2013-2019 6.4573287 8420.2885
Atlantic (26.5,26.75] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 1397 3.2423787 7265.1167 9.560288 1982-1999 –> 2000-2012 6.2982027 16900.6544
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1397 3.2102294 7239.2749 9.343762 1982-1999 –> 2000-2012 6.2448568 16850.4040
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1397 3.2700730 7288.8799 10.507891 1982-1999 –> 2000-2012 6.3292231 16928.5449
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1397 3.2317170 7257.9142 9.546069 1982-1999 –> 2000-2012 6.2938190 16903.2385
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1397 3.2846060 7301.2695 10.500101 1982-1999 –> 2000-2012 6.3669620 16969.6063
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1397 3.1332896 7173.4954 8.794157 1982-1999 –> 2000-2012 6.0826758 16678.5275
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 1397 3.2139421 7242.5043 10.077111 1982-1999 –> 2000-2012 6.1949222 16785.9619
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1397 3.2574736 7280.0940 9.819923 1982-1999 –> 2000-2012 6.3506443 16963.7189
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 1397 3.1332904 7171.4961 8.793931 1982-1999 –> 2000-2012 6.0827330 16674.6008
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1397 3.2249399 7250.0489 10.037456 1982-1999 –> 2000-2012 6.2079736 16794.1190
Atlantic (26.5,26.75] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 656 3.3433340 3459.1900 9.454244 2000-2012 –> 2013-2019 6.5857127 10724.3067
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 656 3.3167237 3450.7058 9.802790 2000-2012 –> 2013-2019 6.5269531 10689.9807
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 656 3.3455096 3460.0435 10.735554 2000-2012 –> 2013-2019 6.6155826 10748.9234
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 656 3.3335092 3457.3289 9.998952 2000-2012 –> 2013-2019 6.5652262 10715.2431
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 656 3.3565540 3464.3677 10.767824 2000-2012 –> 2013-2019 6.6411600 10765.6372
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 656 3.2676102 3433.1326 9.323441 2000-2012 –> 2013-2019 6.4008998 10606.6280
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 656 3.3015492 3444.6894 10.639303 2000-2012 –> 2013-2019 6.5154913 10687.1938
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 656 3.3557679 3466.0603 10.316163 2000-2012 –> 2013-2019 6.6132415 10746.1543
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 656 3.2691905 3431.7670 9.293088 2000-2012 –> 2013-2019 6.4024809 10603.2631
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 656 3.3238240 3451.5114 11.113656 2000-2012 –> 2013-2019 6.5487639 10701.5603
Atlantic (26.75,27] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 2398 2.0422179 10243.7478 13.072427 1982-1999 –> 2000-2012 3.6820169 22274.6044
Atlantic (26.75,27] cstar_tref ~ oxygen + aou + silicate + phosphate 2398 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.7661002 22513.8376
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2398 1.9777373 10091.8778 13.048320 1982-1999 –> 2000-2012 3.6098667 22095.2929
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2398 2.0001820 10143.9994 14.081577 1982-1999 –> 2000-2012 3.6531709 22225.1681
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2398 2.0453900 10253.1915 13.198931 1982-1999 –> 2000-2012 3.7532317 22541.3727
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2398 2.0669164 10301.4026 14.196373 1982-1999 –> 2000-2012 3.7902516 22644.2987
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2398 1.9577047 10045.0510 12.852844 1982-1999 –> 2000-2012 3.4513206 21493.5208
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 2398 1.9733020 10081.1101 13.668184 1982-1999 –> 2000-2012 3.4867147 21610.2701
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 2398 2.0377368 10235.2128 18.405045 1982-1999 –> 2000-2012 3.5335223 21690.7979
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2398 2.0860637 10345.6268 19.975942 1982-1999 –> 2000-2012 3.5995129 21872.9381
Atlantic (26.75,27] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 1263 2.5145378 5927.4356 22.300060 2000-2012 –> 2013-2019 4.5567556 16171.1833
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1263 2.4687832 5883.0490 22.398346 2000-2012 –> 2013-2019 4.4465205 15974.9268
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1263 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.5332582 16089.9896
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1263 2.5134665 5928.3592 22.501523 2000-2012 –> 2013-2019 4.5588565 16181.5506
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1263 2.5653762 5977.9963 25.592327 2000-2012 –> 2013-2019 4.6322925 16279.3988
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1263 2.1936686 5586.6019 19.571794 2000-2012 –> 2013-2019 4.1513732 15631.6529
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 1263 2.2447360 5642.7318 22.401900 2000-2012 –> 2013-2019 4.2180380 15723.8419
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1263 2.5620228 5976.6922 22.802057 2000-2012 –> 2013-2019 4.7054323 16454.3814
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 1263 2.1944621 5585.5155 19.509755 2000-2012 –> 2013-2019 4.2321989 15820.7283
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1263 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.3413155 15998.1644
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2031 1.8626152 8304.2173 11.021443 1982-1999 –> 2000-2012 3.5644105 18504.3667
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2031 1.7685785 8095.7837 13.273629 1982-1999 –> 2000-2012 3.2488170 17569.5660
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2031 1.8904789 8364.5325 9.689213 1982-1999 –> 2000-2012 3.4604645 18143.6984
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2031 1.7886736 8141.6771 12.395499 1982-1999 –> 2000-2012 3.2352503 17495.3358
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2031 1.8979717 8380.6003 9.355072 1982-1999 –> 2000-2012 3.4547428 18115.6267
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2031 1.7317419 8012.2853 15.886046 1982-1999 –> 2000-2012 3.1780603 17367.0116
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 2031 1.8598998 8300.2912 12.096683 1982-1999 –> 2000-2012 3.4166128 18037.1230
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 2031 1.8229960 8218.8833 11.342723 1982-1999 –> 2000-2012 3.3037503 17694.4851
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2031 1.9234272 8434.7175 8.493771 1982-1999 –> 2000-2012 3.5167839 18291.0461
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 2031 1.8689532 8320.0157 18.956833 1982-1999 –> 2000-2012 3.5357161 18413.5457
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1142 2.1593133 5013.0566 10.465472 2000-2012 –> 2013-2019 4.0219286 13317.2739
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1142 2.3003827 5155.6000 13.777336 2000-2012 –> 2013-2019 4.2152027 13570.0995
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1142 2.1464785 5001.4401 9.449703 2000-2012 –> 2013-2019 3.9150570 13097.2238
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1142 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.1851737 13516.4782
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1142 2.1545634 5010.0268 9.847471 2000-2012 –> 2013-2019 3.9432370 13151.7039
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1142 2.2882847 5145.5566 14.231726 2000-2012 –> 2013-2019 4.1862565 13526.1569
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1142 2.0775479 4928.8897 9.783184 2000-2012 –> 2013-2019 3.8092897 12941.1749
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 1142 2.2356057 5094.3615 14.334561 2000-2012 –> 2013-2019 4.0955055 13394.6527
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1142 2.1888764 5046.1146 9.973069 2000-2012 –> 2013-2019 4.0118723 13264.9979
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 1142 2.2764891 5135.7525 18.813540 2000-2012 –> 2013-2019 4.1454423 13455.7683
Atlantic (27.25,27.5] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 2025 2.2571186 9057.7617 21.333316 1982-1999 –> 2000-2012 3.9135961 20144.1869
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2025 2.1403141 8842.5591 17.909272 1982-1999 –> 2000-2012 3.7787585 19865.9783
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2025 2.1392607 8842.5653 18.152763 1982-1999 –> 2000-2012 3.7620627 19812.7677
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2025 2.1625100 8884.3428 12.574713 1982-1999 –> 2000-2012 3.8613513 20116.1247
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2025 2.1590686 8879.8926 12.833625 1982-1999 –> 2000-2012 3.8508069 20089.5577
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 2025 2.1403141 8844.5591 17.906511 1982-1999 –> 2000-2012 3.7782908 19868.3352
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2025 2.1391730 8844.3992 17.846793 1982-1999 –> 2000-2012 3.7585043 19804.2779
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2025 2.2664591 9074.4871 13.372191 1982-1999 –> 2000-2012 3.9854665 20374.1931
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 2025 2.3638566 9244.8934 19.365747 1982-1999 –> 2000-2012 4.0204499 20331.7212
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 2025 2.2489702 9045.1143 18.192634 1982-1999 –> 2000-2012 3.9054295 20133.4764
Atlantic (27.25,27.5] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 1109 2.7884162 5435.7065 20.513112 2000-2012 –> 2013-2019 5.0455349 14493.4682
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1109 2.7818295 5430.4610 17.251552 2000-2012 –> 2013-2019 4.9221436 14273.0201
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1109 2.7064010 5371.4902 19.005456 2000-2012 –> 2013-2019 4.8456617 14214.0555
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 1109 2.8205406 5461.1132 14.090309 2000-2012 –> 2013-2019 4.9830506 14345.4560
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1109 2.7324635 5392.7473 14.021401 2000-2012 –> 2013-2019 4.8915321 14272.6398
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 1109 2.7685664 5421.8608 21.376840 2000-2012 –> 2013-2019 4.9088806 14266.4200
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1109 2.7053602 5372.6371 20.139108 2000-2012 –> 2013-2019 4.8445332 14217.0362
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1109 2.7974952 5444.9165 11.875464 2000-2012 –> 2013-2019 5.0273272 14455.4189
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1109 2.8123363 5454.6522 14.111336 2000-2012 –> 2013-2019 5.0787954 14529.1392
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 1109 2.7871176 5436.6733 19.218900 2000-2012 –> 2013-2019 5.0360878 14481.7876
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2804 2.3843613 12844.3739 16.074344 1982-1999 –> 2000-2012 4.6854817 29678.8092
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2804 2.3646915 12799.9189 15.947237 1982-1999 –> 2000-2012 4.4645090 28952.6908
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2804 2.3944064 12867.9502 14.685866 1982-1999 –> 2000-2012 4.4949743 29021.3907
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2804 2.3649692 12800.5773 15.837292 1982-1999 –> 2000-2012 4.4315783 28834.3000
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2804 2.3920617 12862.4560 14.587684 1982-1999 –> 2000-2012 4.4588552 28894.8448
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 2804 2.5359933 13192.1302 18.361593 1982-1999 –> 2000-2012 4.7342908 29687.1813
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2804 2.3645727 12801.6371 15.906935 1982-1999 –> 2000-2012 4.4225209 28805.9963
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 2804 2.3920616 12864.4558 14.588449 1982-1999 –> 2000-2012 4.4507889 28869.6418
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 2804 2.3899389 12859.4771 15.360569 1982-1999 –> 2000-2012 4.4556461 28889.9396
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2804 2.4122515 12909.5908 14.214259 1982-1999 –> 2000-2012 4.4796273 28944.0833
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1515 2.7078202 7331.6999 19.383046 2000-2012 –> 2013-2019 5.0921815 20176.0738
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 1515 2.8745087 7510.7055 15.545879 2000-2012 –> 2013-2019 5.3284002 20514.2749
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1515 2.6926942 7316.7268 20.089368 2000-2012 –> 2013-2019 5.0573857 20116.6457
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1515 2.8711798 7509.1946 15.461950 2000-2012 –> 2013-2019 5.2655862 20377.1448
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1515 2.6919437 7315.8822 19.886060 2000-2012 –> 2013-2019 5.0569129 20116.4595
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1515 2.8690598 7506.9564 15.594453 2000-2012 –> 2013-2019 5.2611214 20369.4124
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1515 2.6919437 7317.8822 19.885854 2000-2012 –> 2013-2019 5.0565164 20119.5192
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 1515 2.8637502 7503.3438 16.355938 2000-2012 –> 2013-2019 5.2558118 20367.7996
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1515 2.7055611 7331.1710 20.886480 2000-2012 –> 2013-2019 5.0955000 20190.6481
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1515 2.8660787 7503.8064 16.855872 2000-2012 –> 2013-2019 5.2783302 20413.3972
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 1036 1.5100084 3807.9434 14.539112 1982-1999 –> 2000-2012 3.0360994 8683.8943
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1036 1.4933765 3786.9948 13.193790 1982-1999 –> 2000-2012 3.0083549 8645.6517
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1036 1.5641536 3880.9392 12.798383 1982-1999 –> 2000-2012 3.1611985 8876.8661
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1036 1.5197119 3821.2156 14.808950 1982-1999 –> 2000-2012 3.0586861 8719.3599
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1036 1.5041247 3801.8541 13.515384 1982-1999 –> 2000-2012 3.0308360 8680.8779
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 1036 1.4997244 3795.7836 13.771377 1982-1999 –> 2000-2012 3.0163979 8657.3928
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1036 1.4819371 3773.0620 12.346257 1982-1999 –> 2000-2012 2.9888702 8619.6617
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 1036 1.5167237 3819.1375 12.205256 1982-1999 –> 2000-2012 3.0692607 8742.4457
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1036 1.5430795 3852.8330 15.324821 1982-1999 –> 2000-2012 3.1087399 8796.3632
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1036 1.5289575 3835.7831 14.091157 1982-1999 –> 2000-2012 3.0808965 8758.0743
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 513 1.7094323 2019.9324 13.736344 2000-2012 –> 2013-2019 3.2194407 5827.8758
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 513 1.6586171 1990.9707 11.471286 2000-2012 –> 2013-2019 3.1519935 5777.9654
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 513 1.7475521 2042.5606 12.039326 2000-2012 –> 2013-2019 3.3117057 5923.4997
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 513 1.7242945 2028.8142 13.967079 2000-2012 –> 2013-2019 3.2440064 5850.0298
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 513 1.6731627 1999.9292 11.689855 2000-2012 –> 2013-2019 3.1772874 5801.7833
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 513 1.6587161 1991.0319 11.883986 2000-2012 –> 2013-2019 3.1584405 5786.8155
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 513 1.6130343 1964.3791 10.721751 2000-2012 –> 2013-2019 3.0949714 5737.4410
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 513 1.6452734 1982.6831 11.380188 2000-2012 –> 2013-2019 3.1619970 5801.8206
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 513 1.7556052 2047.2777 14.468303 2000-2012 –> 2013-2019 3.2986847 5900.1107
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 513 1.7046539 2019.0605 12.184214 2000-2012 –> 2013-2019 3.2336114 5854.8436
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate 983 3.0630171 5004.3744 26.240993 1982-1999 –> 2000-2012 5.9542902 11646.6323
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 983 2.9209554 4913.0097 23.348570 1982-1999 –> 2000-2012 5.6332688 11386.5402
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 983 2.9636440 4941.5341 24.080105 1982-1999 –> 2000-2012 5.8129478 11546.7213
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 983 2.9167184 4912.1558 23.324808 1982-1999 –> 2000-2012 5.5922061 11351.1595
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + phosphate 983 2.9304503 4917.3900 22.456892 1982-1999 –> 2000-2012 5.6593028 11405.1644
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 983 2.9168969 4910.2762 23.384895 1982-1999 –> 2000-2012 5.6443939 11398.7229
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 983 3.0821699 5016.6293 23.370605 1982-1999 –> 2000-2012 5.9778226 11662.9317
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 983 3.0752221 5014.1926 23.047959 1982-1999 –> 2000-2012 5.9358669 11629.9940
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + phosphate 983 3.0946626 5022.5819 23.332862 1982-1999 –> 2000-2012 6.0114682 11686.3324
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 983 3.0757549 5012.5332 23.130965 1982-1999 –> 2000-2012 5.9400103 11629.7050
Atlantic (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 569 3.2198068 2959.4398 28.682477 2000-2012 –> 2013-2019 6.6553718 8189.4735
Atlantic (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 569 3.2039147 2955.8090 28.849345 2000-2012 –> 2013-2019 6.6253703 8179.7521
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate 569 3.5578347 3073.0472 28.721108 2000-2012 –> 2013-2019 6.6208518 8077.4216
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 569 3.2165771 2960.2977 28.808840 2000-2012 –> 2013-2019 6.1375326 7873.3074
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 569 3.4233042 3031.1819 28.388138 2000-2012 –> 2013-2019 6.3869482 7972.7160
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 569 3.1989479 2956.0435 29.016215 2000-2012 –> 2013-2019 6.1156663 7868.1993
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + phosphate 569 3.3261262 2996.4099 29.121490 2000-2012 –> 2013-2019 6.2565764 7913.7999
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 569 3.3016373 2990.0003 28.844568 2000-2012 –> 2013-2019 6.2185342 7900.2765
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 569 3.6536488 3105.2886 22.923203 2000-2012 –> 2013-2019 6.7288710 8119.4812
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 569 3.6600265 3105.2733 23.151675 2000-2012 –> 2013-2019 6.7357814 8117.8065
Atlantic (27.95,28.05] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 1204 4.0178610 6779.7292 25.762442 1982-1999 –> 2000-2012 7.6900067 15910.2128
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1204 3.9663431 6750.6536 26.278881 1982-1999 –> 2000-2012 7.5145428 15768.0436
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1204 3.9222390 6723.7277 25.772111 1982-1999 –> 2000-2012 7.4530630 15724.6625
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 1204 3.5541213 6486.4077 21.514886 1982-1999 –> 2000-2012 6.8749279 15281.7859
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1204 3.5310176 6472.7033 22.926889 1982-1999 –> 2000-2012 6.7144051 15128.4199
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1204 3.9115984 6717.1862 25.623406 1982-1999 –> 2000-2012 7.4349324 15711.0028
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1204 3.9682210 6749.7934 25.265565 1982-1999 –> 2000-2012 7.6108086 15853.1867
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 1204 3.8735532 6691.6507 19.419274 1982-1999 –> 2000-2012 7.7104519 15969.2478
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 1204 3.7604125 6622.2690 22.900385 1982-1999 –> 2000-2012 7.2584306 15591.9137
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 1204 3.9591041 6744.2548 25.125796 1982-1999 –> 2000-2012 7.5958976 15842.3119
Atlantic (27.95,28.05] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 666 3.5624057 3596.2470 28.359612 2000-2012 –> 2013-2019 7.5802666 10375.9761
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 666 3.3826776 3529.2913 29.607706 2000-2012 –> 2013-2019 7.3490207 10279.9450
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 666 3.3641621 3521.9804 29.280436 2000-2012 –> 2013-2019 7.2864010 10245.7081
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 666 3.2934675 3493.6915 24.233945 2000-2012 –> 2013-2019 6.8475888 9980.0992
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 666 3.1959182 3455.6429 27.018389 2000-2012 –> 2013-2019 6.7269357 9928.3462
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 666 3.3605250 3520.5396 29.191469 2000-2012 –> 2013-2019 7.2721234 10237.7258
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 666 3.5417278 3588.4929 27.962736 2000-2012 –> 2013-2019 7.5099488 10338.2863
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 666 3.7631817 3669.2788 21.509432 2000-2012 –> 2013-2019 7.6367350 10360.9296
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 666 3.5049850 3576.6022 26.715531 2000-2012 –> 2013-2019 7.2653975 10198.8712
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 666 3.5394291 3587.6281 27.891571 2000-2012 –> 2013-2019 7.4985332 10331.8828
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate 804 1.0115481 2314.1161 9.678931 1982-1999 –> 2000-2012 1.8601691 5028.4371
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 804 0.9922043 2285.0686 8.390838 1982-1999 –> 2000-2012 1.8403520 5000.1888
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 804 1.0092107 2312.3961 9.141038 1982-1999 –> 2000-2012 1.8507353 5010.6458
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 804 0.9868544 2278.3749 8.854339 1982-1999 –> 2000-2012 1.8168843 4949.0267
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + phosphate 804 0.9934328 2285.0583 8.087713 1982-1999 –> 2000-2012 1.8641000 5054.5716
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 804 0.9873842 2277.2379 8.903940 1982-1999 –> 2000-2012 1.8184314 4948.5258
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 804 1.0479786 2371.0092 11.443033 1982-1999 –> 2000-2012 1.9043810 5104.9727
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 804 1.0427980 2363.0404 11.693571 1982-1999 –> 2000-2012 1.8850579 5061.1694
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 804 1.0382549 2358.0196 11.926181 1982-1999 –> 2000-2012 1.8729883 5038.8318
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 804 1.0436142 2364.2985 12.188672 1982-1999 –> 2000-2012 1.8828911 5054.7923
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 434 1.0460351 1284.7046 7.627744 2000-2012 –> 2013-2019 2.0692031 3617.1869
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 434 1.0459216 1286.6104 7.586975 2000-2012 –> 2013-2019 2.0689610 3620.8907
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 434 1.0500656 1288.0427 7.506976 2000-2012 –> 2013-2019 2.0773265 3626.9446
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 434 1.0499373 1289.9367 7.462843 2000-2012 –> 2013-2019 2.0771054 3630.6932
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate 434 1.0478798 1286.2340 10.830251 2000-2012 –> 2013-2019 2.0594278 3600.3501
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 434 1.0172781 1262.5079 9.052235 2000-2012 –> 2013-2019 2.0094824 3547.5766
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 434 1.0354674 1277.8910 9.566157 2000-2012 –> 2013-2019 2.0446781 3590.2871
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 434 1.0166672 1263.9865 9.190678 2000-2012 –> 2013-2019 2.0035216 3542.3614
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + phosphate 434 1.0174317 1260.6390 9.169936 2000-2012 –> 2013-2019 2.0108645 3545.6973
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 434 1.0173491 1262.5685 9.266596 2000-2012 –> 2013-2019 2.0047333 3539.8065
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 936 0.7598154 2158.0525 5.943044 1982-1999 –> 2000-2012 1.3880573 4645.1933
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 936 0.7598609 2156.1646 5.927820 1982-1999 –> 2000-2012 1.3893138 4646.2932
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + nitrate 936 0.7505637 2133.1187 7.864208 1982-1999 –> 2000-2012 1.3349866 4431.0017
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 936 0.7426781 2115.3468 7.167238 1982-1999 –> 2000-2012 1.3257737 4409.3412
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 936 0.7504876 2134.9287 7.809835 1982-1999 –> 2000-2012 1.3189048 4362.8898
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 936 0.7332530 2093.4379 7.182115 1982-1999 –> 2000-2012 1.2960746 4297.7757
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 936 0.7361194 2098.7416 6.952808 1982-1999 –> 2000-2012 1.3184348 4389.2677
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 936 0.7987682 2249.6435 10.877044 1982-1999 –> 2000-2012 1.3708704 4492.3408
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 936 0.7827535 2213.7300 10.257314 1982-1999 –> 2000-2012 1.3501586 4437.0753
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 936 0.7856962 2218.7544 10.025704 1982-1999 –> 2000-2012 1.3744859 4535.9182
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 497 0.8713460 1287.5350 6.170119 2000-2012 –> 2013-2019 1.6332764 3448.7912
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 497 0.8691738 1287.0540 6.068093 2000-2012 –> 2013-2019 1.6289892 3445.1065
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 497 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.6311195 3443.5998
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 497 0.8755192 1294.2844 5.936568 2000-2012 –> 2013-2019 1.6396078 3462.8354
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + nitrate 497 0.8286782 1237.6291 9.047780 2000-2012 –> 2013-2019 1.5792420 3370.7478
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 497 0.8223025 1231.9518 8.292878 2000-2012 –> 2013-2019 1.5649805 3347.2986
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 497 0.8285961 1239.5306 9.116248 2000-2012 –> 2013-2019 1.5790837 3374.4593
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 497 0.8098062 1218.7303 8.335684 2000-2012 –> 2013-2019 1.5430592 3312.1683
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + phosphate 497 0.8492568 1262.0116 6.971050 2000-2012 –> 2013-2019 1.6225461 3450.9696
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 497 0.8110670 1218.2767 8.149465 2000-2012 –> 2013-2019 1.5471864 3317.0183
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1540 0.5463689 2524.5912 2.040269 1982-1999 –> 2000-2012 1.0604135 5892.1290
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1540 0.5518264 2555.2039 2.055332 1982-1999 –> 2000-2012 1.0709454 5966.4351
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + aou + nitrate 1540 0.3811816 1413.7338 1.800271 1982-1999 –> 2000-2012 0.8158366 4033.0874
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 1540 0.3404219 1067.4161 1.568671 1982-1999 –> 2000-2012 0.7401038 3315.6553
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 1540 0.3499661 1152.5806 1.618526 1982-1999 –> 2000-2012 0.7393463 3284.6693
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1540 0.3383167 1050.3104 1.617842 1982-1999 –> 2000-2012 0.7244768 3147.4620
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate 1540 0.4269578 1761.0344 1.632599 1982-1999 –> 2000-2012 0.8645347 4408.1894
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 1540 0.3447362 1104.2051 1.681506 1982-1999 –> 2000-2012 0.7503579 3416.0603
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1540 0.3632927 1265.6880 1.840394 1982-1999 –> 2000-2012 0.7552045 3424.6025
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 1540 0.3426059 1087.1135 1.730599 1982-1999 –> 2000-2012 0.7339173 3241.2092
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 819 0.7358125 1837.7157 4.696636 2000-2012 –> 2013-2019 1.2821814 4362.3069
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 819 0.7414434 1850.2030 4.701383 2000-2012 –> 2013-2019 1.2932698 4405.4068
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + aou + nitrate 819 0.6963213 1745.3570 6.846739 2000-2012 –> 2013-2019 1.0775029 3159.0908
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 819 0.6071981 1523.0228 5.764461 2000-2012 –> 2013-2019 0.9476199 2590.4388
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 819 0.5919930 1481.4826 5.113831 2000-2012 –> 2013-2019 0.9419591 2634.0632
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 819 0.5837815 1460.6029 5.171558 2000-2012 –> 2013-2019 0.9220982 2510.9133
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate 819 0.7030888 1759.1996 7.602305 2000-2012 –> 2013-2019 1.1300465 3520.2341
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 819 0.6693303 1680.6011 8.052277 2000-2012 –> 2013-2019 1.0140665 2784.8062
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 819 0.6403755 1608.1638 7.320694 2000-2012 –> 2013-2019 1.0036682 2873.8518
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 819 0.6397228 1608.4936 7.182190 2000-2012 –> 2013-2019 0.9823288 2695.6071
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2693 0.3242828 1591.0173 2.115462 1982-1999 –> 2000-2012 0.6239944 3193.3546
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 2693 0.3469830 1955.4330 2.125336 1982-1999 –> 2000-2012 0.6488837 3611.7830
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2693 0.3242747 1592.8815 2.111834 1982-1999 –> 2000-2012 0.6221868 3152.5217
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2693 0.3471287 1957.6942 2.120895 1982-1999 –> 2000-2012 0.6488928 3610.6857
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2693 0.3242570 1592.5877 2.108998 1982-1999 –> 2000-2012 0.6217599 3142.0281
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 2693 0.3427199 1890.8498 2.140263 1982-1999 –> 2000-2012 0.6267937 3097.4662
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 2693 0.3581719 2128.3692 2.008375 1982-1999 –> 2000-2012 0.6500674 3536.5803
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2693 0.3159903 1455.4947 2.104197 1982-1999 –> 2000-2012 0.5862118 2293.0711
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 2693 0.3457583 1936.3893 2.124533 1982-1999 –> 2000-2012 0.6437290 3495.4877
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 2693 0.3223335 1560.5427 2.108922 1982-1999 –> 2000-2012 0.6153076 2996.1299
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 1557 0.3868691 1473.3053 2.525540 2000-2012 –> 2013-2019 0.7361466 3462.2365
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1557 0.3502557 1165.7023 2.704232 2000-2012 –> 2013-2019 0.6745385 2756.7196
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 1557 0.3797467 1417.4419 2.705317 2000-2012 –> 2013-2019 0.7267298 3372.8749
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1557 0.3498036 1163.6809 2.743213 2000-2012 –> 2013-2019 0.6740783 2756.5624
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1557 0.3800118 1419.6148 2.702494 2000-2012 –> 2013-2019 0.7271406 3377.3089
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1557 0.3499444 1164.9339 2.736657 2000-2012 –> 2013-2019 0.6742014 2757.5216
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 1557 0.3767365 1394.6591 2.691481 2000-2012 –> 2013-2019 0.7194565 3285.5088
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1557 0.3330850 1013.1749 2.720445 2000-2012 –> 2013-2019 0.6490752 2468.6696
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1557 0.3788592 1410.1550 2.700717 2000-2012 –> 2013-2019 0.7246175 3346.5443
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1557 0.3472468 1140.8362 2.736144 2000-2012 –> 2013-2019 0.6695803 2701.3789
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 5288 5.9081446 33807.1795 33.261331 1982-1999 –> 2000-2012 12.1256599 80522.5792
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 5288 5.8704994 33741.5762 32.823104 1982-1999 –> 2000-2012 12.0405560 80348.7455
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5288 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.6716991 81612.6324
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5288 6.0145280 33995.9192 33.811166 1982-1999 –> 2000-2012 12.3312392 80939.0253
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 5288 5.9717691 33922.4629 33.344196 1982-1999 –> 2000-2012 12.2304017 80734.6862
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 5288 5.9081398 33809.1709 33.266206 1982-1999 –> 2000-2012 12.1253508 80525.8665
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 5288 5.8703920 33743.3827 32.845116 1982-1999 –> 2000-2012 12.0393795 80350.0591
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 5288 6.1901333 34302.2831 29.448378 1982-1999 –> 2000-2012 12.6684777 81610.8702
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 5288 6.0863610 34121.4827 34.020695 1982-1999 –> 2000-2012 12.4717454 81220.1444
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 5288 6.0433877 34048.5450 33.550899 1982-1999 –> 2000-2012 12.3685904 81012.9770
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 2816 5.6382388 17746.4099 27.667683 2000-2012 –> 2013-2019 11.5463834 51553.5894
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2816 5.5779109 17687.8240 25.740680 2000-2012 –> 2013-2019 11.4484102 51429.4002
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2816 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.0707203 52285.7513
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2816 5.7297950 17837.1302 28.456699 2000-2012 –> 2013-2019 11.7443230 51833.0493
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2816 5.6630293 17773.1187 26.656155 2000-2012 –> 2013-2019 11.6347984 51695.5816
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 2816 5.6377423 17747.9139 27.730751 2000-2012 –> 2013-2019 11.5458821 51557.0848
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2816 5.5768716 17688.7746 25.837968 2000-2012 –> 2013-2019 11.4472636 51432.1573
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 2816 5.8769624 17981.9592 24.045379 2000-2012 –> 2013-2019 12.0670956 52284.2423
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 2816 5.7921918 17898.1305 28.600115 2000-2012 –> 2013-2019 11.8785528 52019.6131
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 2816 5.7249566 17834.3724 26.966262 2000-2012 –> 2013-2019 11.7683443 51882.9173
Indo-Pacific (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 5525 4.3935346 32050.7520 50.440434 1982-1999 –> 2000-2012 8.4460883 75535.9915
Indo-Pacific (26,26.5] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5525 4.5360650 32401.5327 43.772780 1982-1999 –> 2000-2012 8.7824377 76605.3494
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 5525 4.4061232 32082.3678 47.078239 1982-1999 –> 2000-2012 8.4591499 75569.4077
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 5525 4.5877220 32526.6595 39.934460 1982-1999 –> 2000-2012 8.8818706 76903.0425
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 5525 4.3695428 31992.2458 49.315429 1982-1999 –> 2000-2012 8.3981502 75388.0758
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 5525 4.5297005 32388.0177 42.929136 1982-1999 –> 2000-2012 8.7728485 76582.1167
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 5525 4.4837948 32275.4615 45.595755 1982-1999 –> 2000-2012 8.5964589 75987.8008
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5525 4.6658266 32713.1992 39.207721 1982-1999 –> 2000-2012 9.0244249 77319.3567
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5525 4.7292783 32862.4581 47.412368 1982-1999 –> 2000-2012 9.1428442 77661.9159
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 5525 4.7273110 32859.8605 47.655241 1982-1999 –> 2000-2012 9.1368954 77647.3981
Indo-Pacific (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2918 4.2159915 16694.2570 56.960184 2000-2012 –> 2013-2019 8.6095261 48745.0090
Indo-Pacific (26,26.5] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2918 4.4724496 17036.8813 46.310491 2000-2012 –> 2013-2019 9.0085146 49438.4140
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2918 4.2631014 16759.1074 51.269363 2000-2012 –> 2013-2019 8.6692246 48841.4752
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2918 4.5594237 17149.2824 39.840874 2000-2012 –> 2013-2019 9.1471456 49675.9420
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2918 4.2073013 16684.2151 55.736884 2000-2012 –> 2013-2019 8.5768441 48676.4609
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 2918 4.4724453 17038.8757 46.346036 2000-2012 –> 2013-2019 9.0021458 49426.8935
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 2918 4.3495628 16876.2850 47.646394 2000-2012 –> 2013-2019 8.8333577 49151.7465
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2918 4.6426236 17254.8173 36.476302 2000-2012 –> 2013-2019 9.3084502 49968.0165
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2918 4.5489045 17135.8025 48.107779 2000-2012 –> 2013-2019 9.2781828 49998.2607
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 2918 4.5483102 17137.0400 48.501450 2000-2012 –> 2013-2019 9.2756211 49996.9005
Indo-Pacific (26.5,26.75] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 4544 3.8913517 25257.6932 27.853242 1982-1999 –> 2000-2012 7.7641398 60143.8499
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 4544 3.9266514 25339.7617 26.472095 1982-1999 –> 2000-2012 7.7219783 59971.8309
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 4544 3.7973242 25037.4014 25.787956 1982-1999 –> 2000-2012 7.5031722 59371.4273
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4544 3.9265162 25339.4488 20.226531 1982-1999 –> 2000-2012 7.6839109 59845.1956
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 4544 3.8686141 25206.4352 27.053829 1982-1999 –> 2000-2012 7.6376832 59753.1959
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 4544 3.9257762 25339.7359 26.208015 1982-1999 –> 2000-2012 7.7210316 59973.5683
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 4544 3.7883819 25017.9750 25.871154 1982-1999 –> 2000-2012 7.4920814 59346.7074
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 4544 3.8865474 25248.4661 26.552236 1982-1999 –> 2000-2012 7.6319717 59716.0842
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 4544 3.9296677 25348.7401 27.048179 1982-1999 –> 2000-2012 7.7546641 60080.7383
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 4544 3.8518354 25166.9337 25.588614 1982-1999 –> 2000-2012 7.6875464 59934.1108
Indo-Pacific (26.5,26.75] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 2447 4.2585434 14049.3348 30.985390 2000-2012 –> 2013-2019 8.1851948 39389.0965
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2447 4.1263148 13896.9659 30.566323 2000-2012 –> 2013-2019 7.9236390 38934.3673
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2447 4.2001695 13983.7864 31.635505 2000-2012 –> 2013-2019 8.0687836 39190.2216
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 2447 4.2562181 14048.6617 30.486396 2000-2012 –> 2013-2019 8.1819943 39388.3977
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2447 4.1092818 13878.7222 29.174056 2000-2012 –> 2013-2019 7.8976637 38896.6972
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 2447 4.2282323 14016.3761 23.095241 2000-2012 –> 2013-2019 8.1147797 39264.8422
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 2447 4.2566884 14049.2025 31.507277 2000-2012 –> 2013-2019 8.1863561 39397.9426
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2447 4.2621159 14053.4387 31.613974 2000-2012 –> 2013-2019 8.2156997 39455.3210
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 2447 4.1678205 13945.9476 29.090807 2000-2012 –> 2013-2019 8.0196559 39112.8814
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 5354 4.2395987 30675.3639 23.246791 1982-1999 –> 2000-2012 7.8884333 71557.7865
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 5354 4.1866293 30542.7356 21.921436 1982-1999 –> 2000-2012 7.7982605 71272.7986
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 5354 4.1297714 30396.3157 22.529968 1982-1999 –> 2000-2012 7.6991045 70948.9367
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 5354 4.0686072 30238.5379 20.211284 1982-1999 –> 2000-2012 7.5960628 70615.3985
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + phosphate 5354 4.1643941 30483.7138 22.734855 1982-1999 –> 2000-2012 7.7513405 71108.4774
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 5354 4.1333789 30405.6653 21.215537 1982-1999 –> 2000-2012 7.6969339 70933.8839
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 5354 4.1734420 30506.9538 22.914051 1982-1999 –> 2000-2012 7.8375806 71452.4177
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 5354 4.1067055 30336.3407 20.455714 1982-1999 –> 2000-2012 7.7237355 71088.9022
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + phosphate 5354 4.2057274 30587.4712 23.104196 1982-1999 –> 2000-2012 7.8859232 71596.7963
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5354 4.1702723 30498.8181 21.453131 1982-1999 –> 2000-2012 7.8227361 71396.2141
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 2868 4.5834202 16885.7787 21.941741 2000-2012 –> 2013-2019 8.8230189 47561.1426
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2868 4.5391175 16832.0657 20.727942 2000-2012 –> 2013-2019 8.7257468 47374.8013
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 2868 4.4937059 16774.3909 19.327696 2000-2012 –> 2013-2019 8.6234773 47170.7066
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2868 4.4456859 16714.7657 18.413340 2000-2012 –> 2013-2019 8.5142930 46953.3037
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + phosphate 2868 4.5360260 16826.1577 17.606576 2000-2012 –> 2013-2019 8.7004201 47309.8716
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 2868 4.5159063 16802.6588 17.625584 2000-2012 –> 2013-2019 8.6492852 47208.3242
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 2868 4.5371637 16827.5961 18.186152 2000-2012 –> 2013-2019 8.7106057 47334.5499
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 2868 4.4840776 16762.0876 17.854645 2000-2012 –> 2013-2019 8.5907831 47098.4283
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + phosphate 2868 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.7831284 47463.7121
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2868 4.5537010 16848.4650 17.066955 2000-2012 –> 2013-2019 8.7239733 47347.2831
Indo-Pacific (27,27.25] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 6466 3.9057692 35982.9778 48.713871 1982-1999 –> 2000-2012 7.0697021 81432.4909
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 6466 3.8726504 35874.8540 50.618008 1982-1999 –> 2000-2012 6.9727897 80966.3689
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 6466 4.0213515 36362.1175 49.781672 1982-1999 –> 2000-2012 7.2500756 82171.9038
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 6466 3.6843471 35232.2482 42.550831 1982-1999 –> 2000-2012 6.7021130 79849.7973
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 6466 3.9241316 36045.6333 33.497688 1982-1999 –> 2000-2012 7.1732307 81966.6016
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 6466 4.1224112 36683.0924 49.252519 1982-1999 –> 2000-2012 7.4528454 83041.0488
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6466 4.0268865 36377.9050 48.755703 1982-1999 –> 2000-2012 7.2867928 82355.5633
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 6466 3.7081089 35313.3840 40.775761 1982-1999 –> 2000-2012 6.7773901 80228.0938
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 6466 3.9500266 36128.6900 31.512269 1982-1999 –> 2000-2012 7.2528573 82337.5496
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 6466 4.1253304 36690.2467 48.506869 1982-1999 –> 2000-2012 7.4805153 83177.0650
Indo-Pacific (27,27.25] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 3470 4.7284767 20643.4390 37.054814 2000-2012 –> 2013-2019 8.6342459 56626.4168
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 3470 4.6947642 20595.7818 38.753685 2000-2012 –> 2013-2019 8.5674146 56470.6358
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3470 4.8373338 20803.3975 36.256037 2000-2012 –> 2013-2019 8.8586853 57165.5150
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 3470 4.3044979 19995.4772 31.639625 2000-2012 –> 2013-2019 7.9888450 55227.7255
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 3470 4.4451810 20216.6683 27.341770 2000-2012 –> 2013-2019 8.3693126 56262.3016
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 3470 4.9153981 20914.5002 35.243698 2000-2012 –> 2013-2019 9.0378093 57597.5927
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3470 4.8388654 20803.5946 35.817177 2000-2012 –> 2013-2019 8.8657519 57181.4995
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 3470 4.3256980 20027.5737 30.237193 2000-2012 –> 2013-2019 8.0338070 55340.9576
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3470 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.4223646 56385.6280
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 3470 4.9160028 20913.3540 34.970533 2000-2012 –> 2013-2019 9.0413332 57603.6007
Indo-Pacific (27.25,27.5] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 5847 3.5830901 31531.2492 32.454766 1982-1999 –> 2000-2012 6.6297107 71525.6717
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5847 3.4547220 31104.6102 30.937998 1982-1999 –> 2000-2012 6.4103930 70620.6620
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 5847 3.4213894 30993.2337 31.915307 1982-1999 –> 2000-2012 6.3346238 70283.0216
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 5847 3.4222130 30994.0484 31.732058 1982-1999 –> 2000-2012 6.3354476 70281.8372
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 5847 3.3997493 30919.0348 32.211492 1982-1999 –> 2000-2012 6.2978740 70126.7447
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 5847 3.1694873 30100.9131 32.456526 1982-1999 –> 2000-2012 5.9497930 68655.5399
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 5847 3.2565652 30415.8576 32.882574 1982-1999 –> 2000-2012 6.0927645 69282.6491
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 5847 3.4132966 30965.5406 32.343099 1982-1999 –> 2000-2012 6.3248065 70245.9821
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 5847 3.2436036 30369.2208 32.869663 1982-1999 –> 2000-2012 6.1018904 69358.4575
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5847 3.3461863 30731.3292 33.390589 1982-1999 –> 2000-2012 6.2704796 70078.9213
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3127 3.9490210 17479.7087 31.161945 2000-2012 –> 2013-2019 7.3487704 48398.7435
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 3127 3.7870083 17217.7199 34.406700 2000-2012 –> 2013-2019 7.2000107 48182.2524
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 3127 3.6527302 16993.9415 32.104464 2000-2012 –> 2013-2019 6.8222175 47094.8546
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + aou + silicate 3127 3.8005574 17238.0556 34.420220 2000-2012 –> 2013-2019 7.2184615 48217.3705
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 3127 3.7363167 17133.4407 33.056947 2000-2012 –> 2013-2019 6.9928819 47549.2983
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 3127 3.9609379 17498.5527 31.337944 2000-2012 –> 2013-2019 7.3742345 48464.0933
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 3127 3.8712880 17353.3764 34.429027 2000-2012 –> 2013-2019 7.3474353 48530.2857
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 3127 3.7453349 17148.5176 32.174298 2000-2012 –> 2013-2019 6.9889385 47517.7384
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + silicate 3127 3.8939716 17387.9144 34.448255 2000-2012 –> 2013-2019 7.3804957 48597.6798
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3127 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.1899105 48040.0175
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 5836 3.1734696 30056.9737 13.015213 1982-1999 –> 2000-2012 5.4821602 66636.5585
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 5836 3.1290994 29892.6288 11.691571 1982-1999 –> 2000-2012 5.4155598 66315.3726
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 5836 3.1735450 30055.2512 8.689085 1982-1999 –> 2000-2012 5.4890819 66680.8347
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 5836 3.1294481 29891.9296 12.455483 1982-1999 –> 2000-2012 5.4998999 66897.4594
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 5836 3.0127413 29450.3204 12.655245 1982-1999 –> 2000-2012 5.4217398 66719.3261
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 5836 2.9783170 29318.1854 12.869829 1982-1999 –> 2000-2012 5.1744982 65089.9113
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + silicate 5836 3.0304211 29516.6154 12.981932 1982-1999 –> 2000-2012 5.4431860 66808.9455
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 5836 3.0038077 29415.6584 11.950018 1982-1999 –> 2000-2012 5.2195159 65328.8752
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 5836 3.1281300 29889.0122 10.977139 1982-1999 –> 2000-2012 5.4236431 66375.8090
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 5836 3.1698959 30041.8225 8.686571 1982-1999 –> 2000-2012 5.4929254 66719.7736
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3104 3.6736333 16900.5032 10.209719 2000-2012 –> 2013-2019 6.8651581 47021.6955
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3104 3.6528449 16867.2734 10.285132 2000-2012 –> 2013-2019 6.7819443 46759.9022
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3104 3.7023122 16948.7788 17.138991 2000-2012 –> 2013-2019 6.8317603 46840.7084
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 3104 3.4637436 16537.2790 14.276204 2000-2012 –> 2013-2019 6.4764849 45987.5994
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 3104 3.4602176 16532.9562 13.845770 2000-2012 –> 2013-2019 6.4385346 45851.1416
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + silicate 3104 3.4945155 16590.1873 14.687842 2000-2012 –> 2013-2019 6.5249366 46106.8027
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 3104 3.4928406 16589.2112 14.401213 2000-2012 –> 2013-2019 6.4966483 46004.8695
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 3104 3.6605753 16878.3974 10.196717 2000-2012 –> 2013-2019 6.8428904 46965.8596
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 3104 3.6446048 16853.2536 10.270662 2000-2012 –> 2013-2019 6.7727348 46742.2658
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3104 3.6928602 16932.9096 10.332716 2000-2012 –> 2013-2019 6.8627561 46974.7321
Indo-Pacific (27.75,27.85] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 2317 2.7212475 11228.4142 21.917997 1982-1999 –> 2000-2012 4.6418941 24214.7759
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2317 2.7206310 11229.3641 22.070589 1982-1999 –> 2000-2012 4.6303013 24181.8367
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2317 2.7290365 11241.6591 21.325228 1982-1999 –> 2000-2012 4.6507603 24231.5321
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2317 2.7290716 11243.7187 21.874695 1982-1999 –> 2000-2012 4.6489207 24229.4797
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 2317 2.7278714 11241.6802 23.105577 1982-1999 –> 2000-2012 4.6506371 24236.9475
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 2317 2.6493637 11106.3577 23.856497 1982-1999 –> 2000-2012 4.6466097 24339.6096
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2317 2.6289513 11072.5162 21.934772 1982-1999 –> 2000-2012 4.5090898 23929.3942
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 2317 2.6295577 11071.5849 21.740452 1982-1999 –> 2000-2012 4.5142019 23941.4519
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 2317 2.6387244 11087.7111 21.365807 1982-1999 –> 2000-2012 4.5411434 24016.3604
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2317 2.6406178 11089.0349 20.968772 1982-1999 –> 2000-2012 4.5482001 24032.6569
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 1264 3.0319458 6407.1458 35.290067 2000-2012 –> 2013-2019 5.7598172 17648.8260
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 1264 2.9816794 6364.8830 35.980451 2000-2012 –> 2013-2019 5.6310431 17471.2407
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1264 2.9672019 6354.5784 33.274356 2000-2012 –> 2013-2019 5.5961533 17427.0947
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + phosphate 1264 3.0327595 6405.8242 34.844332 2000-2012 –> 2013-2019 5.7692585 17660.1374
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + silicate 1264 2.9877934 6368.0614 34.251747 2000-2012 –> 2013-2019 5.6399206 17477.2502
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 1264 2.9813479 6364.6019 31.895420 2000-2012 –> 2013-2019 5.6109056 17436.1868
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1264 3.0654818 6432.9542 34.187580 2000-2012 –> 2013-2019 5.7289961 17561.9969
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 1264 3.0426579 6416.0617 30.875615 2000-2012 –> 2013-2019 5.6813823 17503.7728
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + silicate 1264 3.0764926 6440.0182 31.760951 2000-2012 –> 2013-2019 5.7413499 17569.3968
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1264 3.0665742 6433.8549 28.861392 2000-2012 –> 2013-2019 5.7071919 17522.8898
Indo-Pacific (27.85,27.95] cstar_tref ~ oxygen + aou + nitrate + phosphate 2907 2.7391027 14120.0717 28.616999 1982-1999 –> 2000-2012 4.8514758 31509.4110
Indo-Pacific (27.85,27.95] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 2907 2.7369084 14117.4123 28.359649 1982-1999 –> 2000-2012 4.8476476 31502.5456
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 2907 2.7387015 14121.2200 28.728209 1982-1999 –> 2000-2012 4.8508407 31511.6713
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2907 2.7368303 14119.2462 28.422520 1982-1999 –> 2000-2012 4.8468402 31503.6084
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2907 2.7443195 14135.1344 28.360299 1982-1999 –> 2000-2012 4.8604268 31542.6386
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 2907 2.7016786 14044.0880 28.230018 1982-1999 –> 2000-2012 4.8032130 31396.1702
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2907 2.7004857 14043.5202 28.455559 1982-1999 –> 2000-2012 4.7932875 31364.2073
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2907 2.7448988 14134.3614 28.185033 1982-1999 –> 2000-2012 4.8625461 31545.7003
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 2907 2.7026569 14044.1928 28.417644 1982-1999 –> 2000-2012 4.8043308 31394.8076
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 2907 2.7011461 14042.9418 28.633357 1982-1999 –> 2000-2012 4.7939723 31361.7225
Indo-Pacific (27.85,27.95] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 1542 3.2823201 8055.4962 31.823285 2000-2012 –> 2013-2019 6.0192285 22172.9085
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1542 3.2790303 8054.4037 32.216639 2000-2012 –> 2013-2019 6.0158606 22173.6499
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate 1542 3.1822377 7959.9974 32.017867 2000-2012 –> 2013-2019 5.9064125 22050.2967
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 1542 3.1767440 7956.6687 31.881688 2000-2012 –> 2013-2019 5.8784226 22000.7567
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 1542 3.1820680 7961.8330 32.077871 2000-2012 –> 2013-2019 5.9059571 22053.5223
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1542 3.1760747 7958.0189 31.994368 2000-2012 –> 2013-2019 5.8765604 22001.5392
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate 1542 3.1823803 7958.1357 31.944102 2000-2012 –> 2013-2019 5.9067160 22046.7781
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + phosphate 1542 3.1767686 7954.6926 31.850384 2000-2012 –> 2013-2019 5.8794254 21998.8853
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1542 3.1822510 7960.0104 31.986959 2000-2012 –> 2013-2019 5.9062344 22049.9010
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 1542 3.1761372 7956.0795 31.940854 2000-2012 –> 2013-2019 5.8772832 21999.0214
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2467 2.1792907 10858.6260 8.502155 1982-1999 –> 2000-2012 4.0658897 25425.2456
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 2467 2.1545744 10804.3477 8.077510 1982-1999 –> 2000-2012 4.0373824 25358.7135
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2467 2.1868435 10875.6962 8.583791 1982-1999 –> 2000-2012 4.0752629 25449.1497
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2467 2.1560629 10807.7551 8.090281 1982-1999 –> 2000-2012 4.0424086 25375.4231
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 2467 2.1537997 10802.5732 8.082020 1982-1999 –> 2000-2012 4.0387698 25365.0718
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 2467 2.1513187 10798.8864 8.032399 1982-1999 –> 2000-2012 4.0117616 25270.5770
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 2467 2.1669752 10832.6643 8.102243 1982-1999 –> 2000-2012 4.0291385 25308.9041
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 2467 2.1563228 10808.3498 8.092007 1982-1999 –> 2000-2012 4.0436606 25379.7436
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 2467 2.1879541 10880.2015 7.917490 1982-1999 –> 2000-2012 4.0507520 25358.8560
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2467 2.1886299 10879.7253 7.878228 1982-1999 –> 2000-2012 4.0642895 25405.1370
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + nitrate + phosphate 1354 2.3937485 6220.1919 8.306747 2000-2012 –> 2013-2019 4.5799110 17094.3514
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1354 2.3828037 6209.7818 8.123602 2000-2012 –> 2013-2019 4.5373781 17014.1295
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1354 2.3949270 6221.5248 8.259385 2000-2012 –> 2013-2019 4.5805806 17094.5357
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1354 2.3851377 6212.4332 8.081850 2000-2012 –> 2013-2019 4.5412006 17020.1883
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate 1354 2.3923801 6220.6434 8.423808 2000-2012 –> 2013-2019 4.5778498 17095.2391
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 1354 2.3903242 6218.3153 8.809476 2000-2012 –> 2013-2019 4.5441239 17020.8885
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1354 2.3752818 6203.2199 8.355865 2000-2012 –> 2013-2019 4.5266005 17002.1063
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 1354 2.4042191 6234.0112 8.580453 2000-2012 –> 2013-2019 4.5711943 17066.6755
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + phosphate 1354 2.3949943 6221.6009 8.251733 2000-2012 –> 2013-2019 4.5805940 17094.4901
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1354 2.3852578 6212.5695 8.077633 2000-2012 –> 2013-2019 4.5415806 17020.9193
Indo-Pacific (28.05,28.1] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 1718 1.8463208 6996.4105 10.225349 1982-1999 –> 2000-2012 3.4405196 16640.5731
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 1718 1.8382258 6983.3126 9.837262 1982-1999 –> 2000-2012 3.4140192 16570.1588
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1718 1.8450332 6994.0133 9.467590 1982-1999 –> 2000-2012 3.4414783 16645.3685
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1718 1.8460772 6997.9571 9.791021 1982-1999 –> 2000-2012 3.4264679 16599.6844
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1718 1.8511670 7005.4174 9.474435 1982-1999 –> 2000-2012 3.4501316 16664.8274
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 1718 1.6596412 6634.1553 10.112265 1982-1999 –> 2000-2012 3.0763941 15679.5548
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 1718 1.7729967 6859.1708 9.239349 1982-1999 –> 2000-2012 3.3162971 16339.5889
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 1718 1.8469754 6999.6285 9.783651 1982-1999 –> 2000-2012 3.4288467 16606.1389
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 1718 1.6851843 6684.6350 9.508440 1982-1999 –> 2000-2012 3.1119376 15763.9638
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1718 1.8032691 6915.3424 9.697645 1982-1999 –> 2000-2012 3.4298781 16662.3098
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 966 2.0390007 4133.8616 9.783984 2000-2012 –> 2013-2019 3.8772265 11117.1743
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 966 2.0390556 4131.9137 9.747515 2000-2012 –> 2013-2019 3.8840888 11125.9270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 966 2.0453831 4139.8997 9.746036 2000-2012 –> 2013-2019 3.8914603 11137.8567
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 966 2.0453970 4137.9128 9.764284 2000-2012 –> 2013-2019 3.8965640 11143.3302
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate 966 1.9804005 4077.5231 8.800304 2000-2012 –> 2013-2019 3.8447934 11109.4021
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 966 1.8625995 3961.0413 10.132291 2000-2012 –> 2013-2019 3.5222407 10595.1966
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 966 1.9441954 4041.8760 8.956172 2000-2012 –> 2013-2019 3.7171920 10901.0468
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 966 2.0450979 4139.6302 9.744538 2000-2012 –> 2013-2019 3.8920733 11139.2587
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 966 1.8716119 3968.3669 9.781216 2000-2012 –> 2013-2019 3.5567962 10653.0019
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 966 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.8033978 11010.0164
Indo-Pacific (28.1, Inf] cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate 14627 1.3445893 50185.4032 13.266137 1982-1999 –> 2000-2012 2.4490842 111949.7485
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 14627 1.2494600 48038.8292 11.951281 1982-1999 –> 2000-2012 2.3095030 108132.5045
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 14627 1.2259117 47484.2225 13.501571 1982-1999 –> 2000-2012 2.2575423 106474.9432
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 14627 1.3133686 49498.1312 9.366747 1982-1999 –> 2000-2012 2.4634246 112906.4588
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 14627 1.2268725 47507.1424 13.475607 1982-1999 –> 2000-2012 2.2591107 106521.8086
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 14627 1.1913295 46649.1221 13.074387 1982-1999 –> 2000-2012 2.2118753 105202.4830
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 14627 1.2284384 47544.4552 13.457848 1982-1999 –> 2000-2012 2.2617904 106602.9820
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14627 1.3529440 50366.6138 13.068005 1982-1999 –> 2000-2012 2.4639859 112371.3228
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 14627 1.1936124 46703.1286 13.187468 1982-1999 –> 2000-2012 2.2141619 105254.6322
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate 14627 1.3591254 50499.9672 12.907049 1982-1999 –> 2000-2012 2.4770940 112757.4410
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 7804 1.4123708 27549.7620 9.529089 2000-2012 –> 2013-2019 2.6618308 75588.5913
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate 7804 1.3942652 27350.3851 10.629411 2000-2012 –> 2013-2019 2.6201769 74834.6076
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 7804 1.4923380 28409.3615 12.644005 2000-2012 –> 2013-2019 2.8302151 78448.3652
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate 7804 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 7804 1.3952422 27361.3180 10.595906 2000-2012 –> 2013-2019 2.6221147 74868.4604
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 7804 1.4925685 28411.7727 12.628703 2000-2012 –> 2013-2019 2.8303164 78447.9491
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate 7804 1.3463098 26806.1024 10.367173 2000-2012 –> 2013-2019 2.5376393 73455.2245
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate 7804 1.4919182 28406.9705 12.691344 2000-2012 –> 2013-2019 2.8295879 78443.4374
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate 7804 1.3967133 27377.7659 10.570114 2000-2012 –> 2013-2019 2.6251516 74922.2211
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate 7804 1.3486947 26831.7271 10.395678 2000-2012 –> 2013-2019 2.5423072 73534.8557

5.3.2 per fitting unit

lm_best %>%
  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 –> 2000-2012 2.3664955 1199.4300
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 2.1541746 709.6723
Atlantic (26,26.5] 1982-1999 –> 2000-2012 6.5575870 13432.3029
Atlantic (26,26.5] 2000-2012 –> 2013-2019 6.4023920 8383.4266
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.2452013 16844.9376
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 6.5415512 10698.8891
Atlantic (26.75,27] 1982-1999 –> 2000-2012 3.6325708 22096.2101
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.4376041 16032.5818
Atlantic (27,27.25] 1982-1999 –> 2000-2012 3.3914608 17963.1805
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.0528965 13323.5530
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 3.8614717 20054.0619
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 4.9583547 14354.8442
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 4.5078272 29057.8878
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 5.1747746 20276.1375
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 3.0559340 8718.0588
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 3.2052139 5826.2185
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 5.8161578 11534.3904
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 6.4481504 8021.2234
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 7.3857467 15678.0788
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 7.2972951 10227.7770
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 1.8595990 5025.1162
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.0425304 3586.1794
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.3467061 4464.7097
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.5969091 3397.2995
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 0.8255137 4012.9500
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.0594741 3153.6719
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 0.6287827 3212.9108
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 0.6975565 3028.5326
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 12.3073100 80887.7586
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 11.7151774 51797.3387
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 8.7641169 76520.0455
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 8.9709013 49391.9119
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 7.6598180 59813.6709
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.0890016 39227.4753
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 7.7700111 71197.1612
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 8.6844732 47282.2123
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 7.1418312 81752.6483
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 8.5819569 56586.1873
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.2747783 70045.9487
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 7.1863356 48059.2334
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.4062210 66357.2866
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 6.6893848 46525.5577
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.5981758 24135.4045
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.6866018 17527.8792
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.8314581 31463.2483
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 5.9172101 22054.7259
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.0459316 25369.6821
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.5581013 17052.3524
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.3535970 16417.2168
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.7885833 10993.2211
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 2.3367572 108817.4325
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 2.6869636 76007.6394

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 = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 3 - 9).

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
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
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
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
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate oxygen phosphate sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 9 7 8 10 10 6 7
(26,26.5] 8 10 8 6 10 8 7
(26.5,26.75] 9 6 8 10 7 10 7
(26.75,27] 10 5 8 10 6 10 6
(27,27.25] 8 6 7 10 9 10 7
(27.25,27.5] 10 10 7 6 6 10 7
(27.5,27.75] 8 6 7 10 10 9 7
(27.75,27.85] 8 8 8 10 10 6 7
(27.85,27.95] 10 6 10 8 6 5 10
(27.95,28.05] 8 10 8 10 5 8 8
(28.05,28.1] 10 7 10 7 6 6 10
(28.1,28.15] 10 7 10 7 7 8 8
(28.15,28.2] 10 10 9 6 6 6 9
(28.2, Inf] 8 10 7 9 10 6 7
total 126.00 108.00 115.00 119.00 108.00 108.00 107.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 8 8 10 10 6 7
(26,26.5] 8 10 8 6 10 8 7
(26.5,26.75] 9 6 8 10 7 10 7
(26.75,27] 9 6 8 10 7 10 7
(27,27.25] 9 6 6 10 9 10 6
(27.25,27.5] 9 10 7 7 7 10 7
(27.5,27.75] 8 5 6 10 10 10 6
(27.75,27.85] 8 8 8 10 10 6 7
(27.85,27.95] 10 7 10 8 8 6 8
(27.95,28.05] 8 10 8 10 5 8 8
(28.05,28.1] 10 8 8 8 10 5 8
(28.1,28.15] 10 7 9 8 10 6 7
(28.15,28.2] 10 10 9 6 6 6 9
(28.2, Inf] 8 10 6 10 10 5 6
total 124.00 111.00 109.00 123.00 119.00 106.00 100.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 8 8 8 10 10 6 7
(26,26.5] 8 6 7 10 8 10 8
(26.5,26.75] 9 8 9 10 8 8 6
(26.75,27] 10 6 10 10 6 5 8
(27,27.25] 8 8 8 10 5 10 8
(27.25,27.5] 8 8 8 10 7 10 6
(27.5,27.75] 7 6 7 8 10 10 9
(27.75,27.85] 10 7 9 9 7 9 7
(27.85,27.95] 10 10 8 10 5 6 6
(27.95,28.05] 9 8 8 7 8 10 8
(28.05,28.1] 9 6 8 10 7 10 7
(28.1, Inf] 7 10 7 10 6 10 6
total 103.00 91.00 97.00 114.00 87.00 104.00 86.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 8 8 8 10 10 6 7
(26,26.5] 8 6 7 10 8 10 8
(26.5,26.75] 9 9 8 10 7 8 7
(26.75,27] 10 6 10 10 6 5 8
(27,27.25] 8 8 8 10 5 10 8
(27.25,27.5] 9 6 9 6 6 10 10
(27.5,27.75] 6 7 7 6 10 10 10
(27.75,27.85] 10 5 10 6 6 8 10
(27.85,27.95] 10 10 10 6 5 6 8
(27.95,28.05] 8 9 8 9 10 6 8
(28.05,28.1] 9 6 8 9 8 10 8
(28.1, Inf] 8 7 7 10 9 10 6
total 103.00 87.00 100.00 102.00 90.00 99.00 98.00

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
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
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