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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, phosphate_star
# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

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


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

# 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:

  • 57

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:

  • aic

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 + aou + nitrate + phosphate_star 158 1.6001372 608.9328 6.639741 1982-1999 –> 2000-2012 3.2898388 1429.4249
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 158 1.5921923 609.3599 6.118408 1982-1999 –> 2000-2012 3.2779521 1430.8804
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 158 1.0492038 475.5626 4.357844 1982-1999 –> 2000-2012 2.3855522 1198.4564
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate_star 158 1.7232695 630.3592 5.488825 1982-1999 –> 2000-2012 3.6032841 1493.2499
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 158 1.0480832 477.2249 4.299021 1982-1999 –> 2000-2012 2.3837757 1201.9145
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate_star 158 1.5933338 607.5864 5.896294 1982-1999 –> 2000-2012 3.3151005 1435.8988
Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate_star 158 1.6581469 620.1860 7.643496 1982-1999 –> 2000-2012 3.3615952 1444.0487
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 158 1.7528801 637.7428 7.185961 1982-1999 –> 2000-2012 3.5945001 1494.0498
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + nitrate + silicate 158 1.6268394 614.1625 8.329023 1982-1999 –> 2000-2012 3.2947666 1429.2589
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 158 1.6216413 615.1512 8.073641 1982-1999 –> 2000-2012 3.2856343 1431.2652
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate_star 72 1.7037742 293.0570 4.337445 2000-2012 –> 2013-2019 3.3039114 901.9898
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 72 1.6825475 293.2516 3.600013 2000-2012 –> 2013-2019 3.2747398 902.6116
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 72 1.2725075 251.0296 3.658367 2000-2012 –> 2013-2019 2.3217113 726.5922
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate_star 72 1.7335391 293.5509 3.896954 2000-2012 –> 2013-2019 3.4568086 923.9101
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 72 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.2417197 721.0407
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate_star 72 1.6918467 292.0453 4.133504 2000-2012 –> 2013-2019 3.2851805 899.6317
Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate_star 72 1.7638716 298.0488 5.052184 2000-2012 –> 2013-2019 3.4220185 918.2347
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 72 1.8628955 305.9142 4.679514 2000-2012 –> 2013-2019 3.6157756 943.6570
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + nitrate + silicate 72 1.7125308 293.7952 5.378554 2000-2012 –> 2013-2019 3.3393703 907.9577
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 72 1.7102518 295.6034 5.514006 2000-2012 –> 2013-2019 3.3318930 910.7546
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1046 4.7158879 6224.9800 15.541218 1982-1999 –> 2000-2012 9.5477898 15369.2251
Atlantic (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1046 4.5602677 6154.7812 12.793756 1982-1999 –> 2000-2012 8.9935818 15036.4433
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1046 4.6533842 6199.0676 16.584635 1982-1999 –> 2000-2012 9.4085283 15296.4725
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1046 3.5518213 5633.9468 13.477555 1982-1999 –> 2000-2012 6.9985663 13749.8718
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate 1046 4.4785382 6114.9481 12.275335 1982-1999 –> 2000-2012 8.9909426 15048.5425
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 1046 4.0405761 5901.6616 14.579174 1982-1999 –> 2000-2012 8.1249524 14533.2897
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 1046 4.5165005 6134.6062 12.512217 1982-1999 –> 2000-2012 8.9089979 14988.0574
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + nitrate 1046 4.4337456 6093.9194 12.147787 1982-1999 –> 2000-2012 8.8915998 14990.4179
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate 1046 3.9974267 5879.2009 14.350644 1982-1999 –> 2000-2012 8.0360096 14476.4398
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 1046 4.4898702 6122.2348 12.384079 1982-1999 –> 2000-2012 8.8545410 14956.3028
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 567 4.5981479 3351.1675 16.390693 2000-2012 –> 2013-2019 9.3140358 9576.1475
Atlantic (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 567 4.5238837 3332.7028 12.241757 2000-2012 –> 2013-2019 9.0841514 9487.4840
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 567 4.5334203 3337.0909 17.007837 2000-2012 –> 2013-2019 9.1868045 9536.1585
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 567 3.6070302 3077.8676 10.902628 2000-2012 –> 2013-2019 7.1588515 8711.8144
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate 567 4.3273734 3280.3418 12.473922 2000-2012 –> 2013-2019 8.8059117 9395.2899
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 567 3.8959809 3163.2545 13.662757 2000-2012 –> 2013-2019 7.9365570 9064.9161
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 567 4.4772850 3320.9614 11.976451 2000-2012 –> 2013-2019 8.9937856 9455.5676
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + nitrate 567 4.2852908 3269.2599 12.306864 2000-2012 –> 2013-2019 8.7190363 9363.1793
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate 567 3.8537522 3150.8959 13.395954 2000-2012 –> 2013-2019 7.8511788 9030.0968
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 567 4.4550925 3315.3265 11.906159 2000-2012 –> 2013-2019 8.9449627 9437.5613
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1397 3.3429532 7348.4661 10.697715 1982-1999 –> 2000-2012 6.4415667 17034.7612
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1397 3.4815191 7463.9419 9.626448 1982-1999 –> 2000-2012 6.8168337 17431.5219
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 1397 3.3316510 7339.0038 10.073920 1982-1999 –> 2000-2012 6.4785991 17084.0238
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1397 3.2700730 7288.8799 10.507891 1982-1999 –> 2000-2012 6.3292231 16928.5449
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate_star 1397 3.5061205 7481.6156 9.850603 1982-1999 –> 2000-2012 6.8463823 17452.8191
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate 1397 3.5707269 7532.6314 10.111585 1982-1999 –> 2000-2012 6.9903542 17592.9269
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 1397 3.5707269 7532.6314 10.111585 1982-1999 –> 2000-2012 6.9903542 17592.9269
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1397 3.5707269 7532.6314 10.111585 1982-1999 –> 2000-2012 6.9903542 17592.9269
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 1397 3.4027533 7398.0044 10.818893 1982-1999 –> 2000-2012 6.5639402 17160.1523
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 1397 3.4413502 7429.5180 10.920943 1982-1999 –> 2000-2012 6.6456964 17243.1144
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 656 3.4323365 3491.6598 11.340269 2000-2012 –> 2013-2019 6.7752897 10840.1259
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 656 3.5304885 3530.6517 10.646276 2000-2012 –> 2013-2019 7.0120076 10994.5936
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 656 3.3850399 3473.4551 10.375376 2000-2012 –> 2013-2019 6.7166909 10812.4589
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 656 3.3455096 3460.0435 10.735554 2000-2012 –> 2013-2019 6.6155826 10748.9234
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate_star 656 3.5321626 3529.2737 10.543489 2000-2012 –> 2013-2019 7.0382831 11010.8893
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 656 3.5746856 3546.9743 10.593623 2000-2012 –> 2013-2019 7.1428873 11079.6291
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate 656 3.5841303 3548.4361 11.020116 2000-2012 –> 2013-2019 7.1548572 11081.0675
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 656 3.5841303 3548.4361 11.020116 2000-2012 –> 2013-2019 7.1548572 11081.0675
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 656 3.4910702 3513.9207 11.381386 2000-2012 –> 2013-2019 6.8938235 10911.9252
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 656 3.5288346 3528.0369 11.412513 2000-2012 –> 2013-2019 6.9701847 10957.5549
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2398 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.7661002 22513.8376
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2398 2.4423037 11101.7778 34.543874 1982-1999 –> 2000-2012 4.6931883 25121.8221
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2398 2.1776482 10549.6945 20.348896 1982-1999 –> 2000-2012 4.1329846 23683.7595
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2398 2.0001820 10143.9994 14.081577 1982-1999 –> 2000-2012 3.6531709 22225.1681
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 2398 2.4457851 11106.6093 34.906111 1982-1999 –> 2000-2012 4.6969118 25125.3291
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 2398 2.5422316 11294.0999 39.132195 1982-1999 –> 2000-2012 4.8836368 25561.7519
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + silicate + phosphate_star 2398 2.5470452 11301.1723 39.382843 1982-1999 –> 2000-2012 4.9052728 25611.7832
Atlantic (26.75,27] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2398 2.5470452 11301.1723 39.382843 1982-1999 –> 2000-2012 4.9052728 25611.7832
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2398 2.2004206 10599.5875 15.280820 1982-1999 –> 2000-2012 3.9880121 23170.3800
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 2398 2.3001008 10812.0716 20.719299 1982-1999 –> 2000-2012 4.1580260 23625.2168
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1263 2.6364762 6045.0524 27.471250 2000-2012 –> 2013-2019 4.7300390 16405.8891
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1263 2.6666494 6075.7970 21.456447 2000-2012 –> 2013-2019 5.1089531 17177.5749
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 1263 2.5846959 5994.9482 24.744636 2000-2012 –> 2013-2019 4.7623441 16544.6427
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1263 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.5332582 16089.9896
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 1263 2.6918036 6097.5128 23.840055 2000-2012 –> 2013-2019 5.1375886 17204.1222
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1263 2.7305419 6135.6060 22.303619 2000-2012 –> 2013-2019 5.2727735 17429.7059
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1263 2.7359170 6138.5735 23.435321 2000-2012 –> 2013-2019 5.2829621 17439.7458
Atlantic (26.75,27] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1263 2.7359170 6138.5735 23.435321 2000-2012 –> 2013-2019 5.2829621 17439.7458
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 1263 2.7633578 6163.7827 28.240304 2000-2012 –> 2013-2019 4.9637784 16763.3702
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 1263 2.8252828 6219.7637 28.536665 2000-2012 –> 2013-2019 5.1253837 17031.8354
Atlantic (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2031 2.4661377 9442.3058 11.932474 1982-1999 –> 2000-2012 4.5803997 20773.7445
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2031 2.0909522 8773.9389 9.715574 1982-1999 –> 2000-2012 4.3252336 20395.7044
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2031 1.9148200 8414.4995 9.235730 1982-1999 –> 2000-2012 3.6311952 18657.1971
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2031 1.8904789 8364.5325 9.689213 1982-1999 –> 2000-2012 3.4604645 18143.6984
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2031 2.1351734 8856.9497 9.523454 1982-1999 –> 2000-2012 4.3987260 20544.6841
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2031 2.2040749 8985.9589 10.013233 1982-1999 –> 2000-2012 4.5689583 20902.3812
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 2031 2.1902432 8962.3874 9.942899 1982-1999 –> 2000-2012 4.5538173 20877.9179
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate 2031 2.1910052 8961.8003 9.938424 1982-1999 –> 2000-2012 4.5832775 20938.3539
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 2031 2.1910052 8961.8003 9.938424 1982-1999 –> 2000-2012 4.5832775 20938.3539
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 2031 2.5774029 9621.5579 12.121441 1982-1999 –> 2000-2012 4.6642462 20884.8324
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1142 2.2408412 5097.7041 11.555324 2000-2012 –> 2013-2019 4.3317934 13871.6430
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 + aou + silicate + phosphate + phosphate_star 1142 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.1851737 13516.4782
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 1142 2.3424794 5197.0192 15.033313 2000-2012 –> 2013-2019 4.4776528 14053.9689
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1142 2.4064771 5258.5819 15.831426 2000-2012 –> 2013-2019 4.6105520 14244.5408
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1142 2.3332715 5190.0234 13.840333 2000-2012 –> 2013-2019 4.5235147 14152.4108
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate 1142 2.3613801 5215.3740 15.167463 2000-2012 –> 2013-2019 4.5523853 14177.1744
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 1142 2.3613801 5215.3740 15.167463 2000-2012 –> 2013-2019 4.5523853 14177.1744
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1142 2.3613801 5215.3740 15.167463 2000-2012 –> 2013-2019 4.5523853 14177.1744
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1142 2.3613801 5215.3740 15.167463 2000-2012 –> 2013-2019 4.5523853 14177.1744
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 2025 2.7504322 9856.3212 19.941044 1982-1999 –> 2000-2012 5.5340146 23928.3716
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2025 2.5285742 9515.7061 13.358360 1982-1999 –> 2000-2012 5.1450783 23231.4624
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2025 2.4514644 9392.2776 12.813379 1982-1999 –> 2000-2012 4.9864330 22927.8111
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 2025 3.1435193 10397.3400 20.035882 1982-1999 –> 2000-2012 5.5634228 23663.4868
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 2025 2.7655192 9878.4761 23.145713 1982-1999 –> 2000-2012 5.3049716 23422.1817
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2025 2.6905754 9769.2091 21.422922 1982-1999 –> 2000-2012 4.8576234 22402.1133
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate 2025 3.2417103 10519.9103 14.161501 1982-1999 –> 2000-2012 5.7675638 24030.7095
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2025 2.4063497 9315.0504 11.614926 1982-1999 –> 2000-2012 4.1264292 20616.3452
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate 2025 3.3704618 10677.6526 10.689148 1982-1999 –> 2000-2012 6.0573060 24544.1053
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate 2025 2.4916281 9456.0932 10.104738 1982-1999 –> 2000-2012 4.3239984 21121.3969
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1109 3.0051254 5599.7139 21.412798 2000-2012 –> 2013-2019 5.7555576 15456.0350
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 1109 3.0025580 5597.8181 16.245244 2000-2012 –> 2013-2019 5.5311321 15113.5242
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1109 2.7952620 5441.1451 16.992150 2000-2012 –> 2013-2019 5.2467264 14833.4228
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 1109 3.9583585 6210.7953 22.567034 2000-2012 –> 2013-2019 7.1018778 16608.1354
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 1109 3.5932118 5996.1307 25.833019 2000-2012 –> 2013-2019 6.3587310 15874.6067
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1109 3.5374046 5963.4120 24.085736 2000-2012 –> 2013-2019 6.2279800 15732.6211
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1109 3.6764640 6048.9339 20.304506 2000-2012 –> 2013-2019 6.9782970 16647.2699
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate 1109 3.8480943 6146.1338 12.680458 2000-2012 –> 2013-2019 7.0898046 16666.0441
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 1109 3.1081847 5674.5038 12.222568 2000-2012 –> 2013-2019 5.5145344 14989.5543
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate 1109 3.2001964 5739.2103 12.589120 2000-2012 –> 2013-2019 5.6918245 15195.3035
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate_star 2804 3.2843614 14638.2851 20.415200 1982-1999 –> 2000-2012 6.1273901 33050.0067
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 2804 2.8268767 13797.0865 15.595608 1982-1999 –> 2000-2012 5.6266381 32094.2808
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2804 2.8239152 13793.2083 15.894239 1982-1999 –> 2000-2012 5.5291200 31835.8277
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 2804 2.7836924 13708.7557 13.816311 1982-1999 –> 2000-2012 5.2587422 31083.3422
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 2804 2.7656318 13674.2524 14.269310 1982-1999 –> 2000-2012 5.0314996 30391.3946
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2804 2.4538915 13003.5694 13.901382 1982-1999 –> 2000-2012 4.8210764 30047.3887
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2804 2.3944064 12867.9502 14.685866 1982-1999 –> 2000-2012 4.4949743 29021.3907
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 2804 2.8759174 13895.5398 18.881131 1982-1999 –> 2000-2012 6.0899038 33225.1527
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 2804 3.1926743 14479.5041 16.493618 1982-1999 –> 2000-2012 5.5799379 31586.4005
Atlantic (27.5,27.75] cstar_tref ~ temp + oxygen + nitrate + silicate 2804 3.2454298 14571.4129 16.872661 1982-1999 –> 2000-2012 5.6444387 31714.9618
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 1515 3.2789491 7909.5783 16.534959 2000-2012 –> 2013-2019 6.1058258 21706.6649
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1515 3.2267256 7862.9314 14.600864 2000-2012 –> 2013-2019 6.0506408 21656.1398
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 1515 3.4259760 8040.4845 14.371977 2000-2012 –> 2013-2019 6.2096684 21749.2402
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 1515 3.4234258 8040.2283 14.171915 2000-2012 –> 2013-2019 6.1890576 21714.4806
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 + aou + silicate + phosphate + phosphate_star 1515 2.8711798 7509.1946 15.461950 2000-2012 –> 2013-2019 5.2655862 20377.1448
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 1515 2.9543301 7593.6977 23.012182 2000-2012 –> 2013-2019 5.8568749 21538.9217
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1515 2.8464806 7483.0164 22.421750 2000-2012 –> 2013-2019 5.7223980 21378.5562
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate 1515 3.2671643 7898.6687 16.135848 2000-2012 –> 2013-2019 6.4589075 22376.5370
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 1515 3.2671643 7898.6687 16.135848 2000-2012 –> 2013-2019 6.4589075 22376.5370
Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1036 2.2930064 4671.5184 15.409426 1982-1999 –> 2000-2012 4.2141877 10153.2785
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 1036 1.9259602 4310.0805 13.267819 1982-1999 –> 2000-2012 3.9306085 9904.1154
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1036 1.8800580 4262.0997 14.057027 1982-1999 –> 2000-2012 3.8317057 9787.3967
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate 1036 2.2757763 4653.8902 11.420567 1982-1999 –> 2000-2012 4.2495639 10204.9673
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 1036 1.9943230 4382.3519 12.367472 1982-1999 –> 2000-2012 3.6776199 9515.1410
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1036 1.7389083 4098.3902 12.226980 1982-1999 –> 2000-2012 3.5475856 9420.8408
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1036 1.5641536 3880.9392 12.798383 1982-1999 –> 2000-2012 3.1611985 8876.8661
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 1036 2.0673590 4456.8761 14.204780 1982-1999 –> 2000-2012 4.2394980 10262.7546
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1036 2.0673322 4458.8492 14.257932 1982-1999 –> 2000-2012 4.2060587 10225.8028
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 1036 2.3208187 4696.4989 15.540108 1982-1999 –> 2000-2012 4.2927046 10247.0312
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 513 2.0314562 2195.0114 12.644220 2000-2012 –> 2013-2019 3.9574164 6505.0919
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 513 2.0209724 2191.7028 12.956555 2000-2012 –> 2013-2019 3.9010304 6453.8025
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 513 2.4147179 2372.3345 11.388027 2000-2012 –> 2013-2019 4.4090409 6754.6864
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 513 1.8570079 2102.8906 11.721525 2000-2012 –> 2013-2019 3.5959162 6201.2808
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 513 1.7475521 2042.5606 12.039326 2000-2012 –> 2013-2019 3.3117057 5923.4997
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 513 2.2786438 2312.8244 11.507801 2000-2012 –> 2013-2019 4.5612635 6974.9360
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 513 2.2842561 2315.3484 11.539783 2000-2012 –> 2013-2019 4.5828767 6991.9337
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 513 2.1177551 2237.6968 14.216180 2000-2012 –> 2013-2019 4.1851141 6694.5729
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 513 2.0908491 2226.5780 12.385110 2000-2012 –> 2013-2019 4.1581813 6685.4273
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate_star 513 2.2850958 2315.7255 11.564796 2000-2012 –> 2013-2019 4.5875235 6995.7397
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 983 3.4444208 5231.0950 40.406696 1982-1999 –> 2000-2012 6.3613830 11892.9889
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 983 3.4332878 5226.7302 38.381356 1982-1999 –> 2000-2012 6.3108859 11854.3203
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 983 3.7222792 5387.6181 34.129705 1982-1999 –> 2000-2012 6.8027409 12199.2343
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 983 3.4396213 5230.3536 36.781212 1982-1999 –> 2000-2012 6.1696286 11717.2584
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 983 3.4272905 5225.2930 34.214054 1982-1999 –> 2000-2012 6.1571686 11714.0714
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 983 3.7509202 5400.6875 45.025761 1982-1999 –> 2000-2012 6.7829316 12167.9437
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate 983 3.7051030 5374.5251 49.117027 1982-1999 –> 2000-2012 6.6349552 12048.2006
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 983 3.6929852 5370.0846 46.749916 1982-1999 –> 2000-2012 6.6056230 12030.0144
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + phosphate 983 3.8387704 5444.2022 52.175591 1982-1999 –> 2000-2012 6.7916245 12138.7733
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + silicate + phosphate 983 3.8308048 5442.1184 50.328170 1982-1999 –> 2000-2012 6.7760129 12131.7618
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 569 3.7400627 3125.8905 23.720140 2000-2012 –> 2013-2019 7.1844835 8356.9855
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 569 3.7372699 3127.0405 23.268863 2000-2012 –> 2013-2019 7.1705577 8353.7707
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 569 3.6673760 3107.5562 28.923043 2000-2012 –> 2013-2019 7.3896551 8495.1743
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 569 3.4103854 3022.8793 30.447244 2000-2012 –> 2013-2019 6.8500067 8253.2329
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 569 3.3215129 2994.8304 29.207068 2000-2012 –> 2013-2019 6.7488034 8220.1234
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 569 3.9387738 3186.8015 24.515854 2000-2012 –> 2013-2019 7.6896940 8587.4890
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate 569 3.8337887 3154.0574 23.962464 2000-2012 –> 2013-2019 7.5388917 8528.5825
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 569 3.8181580 3151.4082 23.646089 2000-2012 –> 2013-2019 7.5111432 8521.4928
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + phosphate 569 3.8865243 3169.6044 23.837557 2000-2012 –> 2013-2019 7.7252947 8613.8066
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + silicate + phosphate 569 3.8608548 3164.0633 23.852541 2000-2012 –> 2013-2019 7.6916596 8606.1817
Atlantic (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1204 4.6141408 7110.9386 25.515496 1982-1999 –> 2000-2012 9.5208569 17210.9282
Atlantic (27.95,28.05] cstar_tref ~ oxygen + nitrate + silicate + phosphate_star 1204 4.7603831 7186.0742 34.069173 1982-1999 –> 2000-2012 8.7956135 16630.6086
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 1204 4.6143746 7111.0606 26.067945 1982-1999 –> 2000-2012 9.4462340 17159.5181
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1204 4.5430532 7075.5511 25.262696 1982-1999 –> 2000-2012 9.2883301 17065.3992
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 1204 4.4957529 7048.3486 26.854357 1982-1999 –> 2000-2012 8.6410505 16583.0894
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1204 4.1957717 6884.0621 30.223807 1982-1999 –> 2000-2012 7.7898469 15942.5131
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate 1204 4.6394934 7122.1333 25.502387 1982-1999 –> 2000-2012 9.5768098 17240.9624
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 1204 4.5804981 7093.3170 24.656039 1982-1999 –> 2000-2012 9.4650221 17178.1118
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + phosphate 1204 4.6374938 7121.0952 25.354382 1982-1999 –> 2000-2012 9.5744080 17239.6512
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 1204 4.5725557 7089.1381 24.432332 1982-1999 –> 2000-2012 9.4509550 17169.7271
Atlantic (27.95,28.05] cstar_tref ~ aou + phosphate + phosphate_star 666 4.4571859 3890.7236 24.824993 2000-2012 –> 2013-2019 9.1096183 11019.5631
Atlantic (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 666 4.4357083 3886.2896 24.809832 2000-2012 –> 2013-2019 9.0498492 10997.2283
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 666 4.3483289 3859.7886 24.917815 2000-2012 –> 2013-2019 8.9627036 10970.8492
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 666 4.2792874 3840.4697 24.913097 2000-2012 –> 2013-2019 8.8223406 10916.0208
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 666 3.9013752 3715.3165 28.636553 2000-2012 –> 2013-2019 8.3971281 10763.6651
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 666 3.4861342 3567.4190 32.154120 2000-2012 –> 2013-2019 7.6819059 10451.4811
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate 666 4.4656542 3893.2519 24.206850 2000-2012 –> 2013-2019 9.1051476 11015.3851
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 666 4.4296661 3884.4740 24.087584 2000-2012 –> 2013-2019 9.0101642 10977.7910
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + phosphate 666 4.4690013 3894.2499 24.065812 2000-2012 –> 2013-2019 9.1064951 11015.3451
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 666 4.4291749 3884.3263 23.917524 2000-2012 –> 2013-2019 9.0017306 10973.4643
Atlantic (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 804 1.1608853 2531.5393 11.005507 1982-1999 –> 2000-2012 2.1206840 5506.7947
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 804 1.1604167 2532.8901 10.979649 1982-1999 –> 2000-2012 2.1134849 5495.0017
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 804 1.1335334 2497.1994 6.397009 1982-1999 –> 2000-2012 2.1255963 5547.6063
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 804 1.0598757 2387.1610 7.838670 1982-1999 –> 2000-2012 1.9527650 5208.9110
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 804 1.0324411 2346.9902 6.945256 1982-1999 –> 2000-2012 1.9247967 5169.4535
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate 804 1.1909798 2574.6934 10.504721 1982-1999 –> 2000-2012 2.1869286 5631.5134
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 804 1.1795166 2557.1414 11.041510 1982-1999 –> 2000-2012 2.1507145 5557.8051
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 804 1.1772969 2556.1127 10.971289 1982-1999 –> 2000-2012 2.1453194 5551.7285
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + phosphate 804 1.1853678 2565.0986 11.052937 1982-1999 –> 2000-2012 2.1623589 5578.5605
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + silicate + phosphate 804 1.1824509 2563.1368 10.968185 1982-1999 –> 2000-2012 2.1574045 5574.1061
Atlantic (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 434 1.2192680 1413.7202 12.282594 2000-2012 –> 2013-2019 2.3801533 3945.2595
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 434 1.2132881 1411.4526 12.215619 2000-2012 –> 2013-2019 2.3737048 3944.3427
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 434 1.1676572 1380.1780 6.819178 2000-2012 –> 2013-2019 2.3011906 3877.3774
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 434 1.1212849 1343.0032 8.929761 2000-2012 –> 2013-2019 2.1811606 3730.1642
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 434 1.2420686 1431.8021 5.714684 2000-2012 –> 2013-2019 2.4185236 3986.7645
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 434 1.0586072 1295.0748 7.429722 2000-2012 –> 2013-2019 2.0910483 3642.0650
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 434 1.2411589 1429.1662 12.303444 2000-2012 –> 2013-2019 2.4206754 3986.3076
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 434 1.2303737 1423.5906 12.182262 2000-2012 –> 2013-2019 2.4076706 3979.7033
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + phosphate 434 1.2459665 1432.5219 12.315642 2000-2012 –> 2013-2019 2.4313344 3997.6205
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + silicate + phosphate 434 1.2341739 1426.2674 12.180217 2000-2012 –> 2013-2019 2.4166248 3989.4043
Atlantic (28.1,28.15] cstar_tref ~ aou + phosphate + phosphate_star 936 0.8709417 2407.5796 9.946705 1982-1999 –> 2000-2012 1.5912473 5242.9037
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 936 0.8652007 2397.1990 9.973159 1982-1999 –> 2000-2012 1.5501093 5104.0130
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 936 0.8394339 2342.6013 6.649159 1982-1999 –> 2000-2012 1.5477300 5138.3794
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 936 0.7732900 2186.9596 6.039973 1982-1999 –> 2000-2012 1.4451653 4844.0128
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 936 0.7598609 2156.1646 5.927820 1982-1999 –> 2000-2012 1.3893138 4646.2932
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate 936 0.9134107 2498.7066 10.830314 1982-1999 –> 2000-2012 1.6498424 5393.3757
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate 936 0.8806006 2428.2260 10.018839 1982-1999 –> 2000-2012 1.6051004 5278.5879
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 936 0.8783084 2425.3470 10.051818 1982-1999 –> 2000-2012 1.5766996 5182.6502
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + phosphate 936 0.8846006 2436.7100 10.051092 1982-1999 –> 2000-2012 1.6121536 5297.9638
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + silicate + phosphate 936 0.8830714 2435.4712 10.082608 1982-1999 –> 2000-2012 1.5884109 5218.4149
Atlantic (28.1,28.15] cstar_tref ~ aou + phosphate + phosphate_star 497 1.0350290 1454.6478 11.396766 2000-2012 –> 2013-2019 1.9059708 3862.2274
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 497 1.0349299 1456.5526 11.397933 2000-2012 –> 2013-2019 1.9001307 3853.7516
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 497 0.9633503 1387.3108 6.933462 2000-2012 –> 2013-2019 1.8027842 3729.9121
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 497 0.8714406 1285.6430 6.181914 2000-2012 –> 2013-2019 1.6447306 3472.6026
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 497 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.6311195 3443.5998
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate 497 1.0972500 1514.6751 12.268602 2000-2012 –> 2013-2019 2.0106607 4013.3817
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate 497 1.0551579 1473.7932 11.501643 2000-2012 –> 2013-2019 1.9357585 3902.0192
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 497 1.0549100 1475.5596 11.494491 2000-2012 –> 2013-2019 1.9332185 3900.9066
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + phosphate 497 1.0606641 1478.9667 11.544277 2000-2012 –> 2013-2019 1.9452647 3915.6768
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + silicate + phosphate 497 1.0602381 1480.5675 11.532519 2000-2012 –> 2013-2019 1.9433095 3916.0387
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1540 0.5623454 2609.3623 2.430575 1982-1999 –> 2000-2012 1.1578520 6627.2122
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 1540 0.6375425 2993.9170 2.390329 1982-1999 –> 2000-2012 1.2512707 7143.8280
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 1540 0.5939756 2777.9061 2.353787 1982-1999 –> 2000-2012 1.1267120 6300.3123
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 1540 0.6375040 2995.7309 2.402197 1982-1999 –> 2000-2012 1.2354501 7031.7649
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1540 0.5471615 2527.0561 2.040783 1982-1999 –> 2000-2012 1.0648603 5924.1022
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1540 0.6185754 2904.8953 2.211087 1982-1999 –> 2000-2012 1.2620075 7269.0379
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 1540 0.6454242 3031.7606 2.459814 1982-1999 –> 2000-2012 1.2492222 7109.1137
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 1540 0.5718023 2660.7281 2.192349 1982-1999 –> 2000-2012 1.1224532 6330.2485
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate 1540 0.6539635 3072.2429 2.506572 1982-1999 –> 2000-2012 1.2717050 7251.1464
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate 1540 0.5772872 2690.1312 2.226077 1982-1999 –> 2000-2012 1.1364464 6427.8538
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate_star 819 1.0085931 2350.2367 13.560021 2000-2012 –> 2013-2019 1.5709385 4959.5989
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 819 0.9046416 2170.0669 7.922510 2000-2012 –> 2013-2019 1.5421842 5163.9839
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 819 0.7431790 1850.0329 4.262643 2000-2012 –> 2013-2019 1.3371546 4627.9389
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 819 0.8257916 2022.6871 4.712442 2000-2012 –> 2013-2019 1.4632956 5018.4180
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 819 0.7372762 1838.9708 4.731734 2000-2012 –> 2013-2019 1.2844377 4366.0269
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 819 0.8339184 2038.7282 5.301488 2000-2012 –> 2013-2019 1.4989220 5164.5337
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 819 0.8297177 2032.4562 5.671364 2000-2012 –> 2013-2019 1.4482931 4937.3514
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 819 0.9508376 2251.6465 8.820383 2000-2012 –> 2013-2019 1.5962619 5283.4071
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 819 0.8619250 2092.8357 8.363302 2000-2012 –> 2013-2019 1.4337273 4753.5638
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate 819 0.8696972 2107.5398 8.465903 2000-2012 –> 2013-2019 1.4469843 4797.6710
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 2693 0.5320594 4255.8361 3.167207 1982-1999 –> 2000-2012 1.0002835 9167.3239
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 2693 0.3593168 2139.5581 1.966552 1982-1999 –> 2000-2012 0.6655852 3898.5165
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 2693 0.3540505 2062.0339 1.937681 1982-1999 –> 2000-2012 0.6560011 3717.6111
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 2693 0.3588037 2133.8610 1.963165 1982-1999 –> 2000-2012 0.6635911 3858.8422
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2693 0.3463114 1944.9979 1.900529 1982-1999 –> 2000-2012 0.6453988 3531.8596
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate 2693 0.4955127 3870.5572 8.085578 1982-1999 –> 2000-2012 1.0325571 9797.8500
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 2693 0.4644953 3524.3978 6.704526 1982-1999 –> 2000-2012 0.9658160 8942.8000
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate 2693 0.4778466 3677.0273 6.696866 1982-1999 –> 2000-2012 0.9678429 8925.8507
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 2693 0.4618076 3495.1416 7.084808 1982-1999 –> 2000-2012 0.9515248 8741.7369
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 2693 0.6096423 4988.9638 4.145789 1982-1999 –> 2000-2012 1.1000011 10243.2760
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1557 0.7071802 3351.6678 9.337627 2000-2012 –> 2013-2019 1.2392396 7607.5039
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 1557 0.4186021 1716.7958 2.479100 2000-2012 –> 2013-2019 0.7779188 3856.3538
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 1557 0.3991609 1570.7062 2.411345 2000-2012 –> 2013-2019 0.7532114 3632.7401
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 1557 0.4110188 1661.8663 2.465092 2000-2012 –> 2013-2019 0.7698225 3795.7273
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1557 0.3901368 1501.4981 2.457959 2000-2012 –> 2013-2019 0.7364483 3446.4960
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1557 0.6309055 2996.2688 2.438558 2000-2012 –> 2013-2019 1.2382861 7965.2135
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate 1557 0.5156492 2366.0835 7.293748 2000-2012 –> 2013-2019 1.0111620 6236.6407
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 1557 0.4442799 1904.1849 3.889221 2000-2012 –> 2013-2019 0.9087752 5428.5827
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate 1557 0.4718588 2091.7254 3.398074 2000-2012 –> 2013-2019 0.9497054 5768.7527
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1557 0.4385296 1865.6176 5.067855 2000-2012 –> 2013-2019 0.9003372 5360.7592
Indo-Pacific (-Inf,26] cstar_tref ~ aou + phosphate + phosphate_star 5288 8.1577756 37215.4168 38.914756 1982-1999 –> 2000-2012 16.7147704 88521.3985
Indo-Pacific (-Inf,26] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5288 7.7270410 36643.7160 27.677067 1982-1999 –> 2000-2012 15.8078967 87128.0807
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5288 6.2360939 34376.5179 29.968567 1982-1999 –> 2000-2012 12.7656352 81794.3473
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5288 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.6716991 81612.6324
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate 5288 8.3095891 37412.4238 46.099948 1982-1999 –> 2000-2012 16.7852798 88583.0637
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + phosphate 5288 7.9014151 36877.7287 34.907971 1982-1999 –> 2000-2012 16.1841110 87715.0067
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 5288 7.4813073 36301.9161 28.357780 1982-1999 –> 2000-2012 15.2943635 86301.4501
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + nitrate + silicate 5288 8.2211176 37299.2183 47.718246 1982-1999 –> 2000-2012 16.6101685 88322.0454
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + phosphate 5288 7.7813287 36715.7598 32.534467 1982-1999 –> 2000-2012 15.9375394 87331.6542
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + silicate + phosphate 5288 7.3907730 36173.1511 28.492599 1982-1999 –> 2000-2012 15.1050761 85989.6943
Indo-Pacific (-Inf,26] cstar_tref ~ aou + phosphate + phosphate_star 2816 8.0246172 19730.1805 26.543653 2000-2012 –> 2013-2019 16.1823928 56945.5973
Indo-Pacific (-Inf,26] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2816 7.4838789 19339.2768 24.626991 2000-2012 –> 2013-2019 15.2109199 55982.9928
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 2816 5.9520247 18049.4373 24.894024 2000-2012 –> 2013-2019 12.1881186 52425.9552
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2816 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.0707203 52285.7513
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate 2816 8.1253364 19802.4294 38.317493 2000-2012 –> 2013-2019 16.4349255 57214.8532
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + phosphate 2816 7.7631923 19543.6467 26.577087 2000-2012 –> 2013-2019 15.6646074 56421.3754
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 2816 7.2293095 19144.3661 24.250881 2000-2012 –> 2013-2019 14.7106167 55446.2822
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + nitrate + silicate 2816 8.0556663 19753.9300 39.640807 2000-2012 –> 2013-2019 16.2767840 57053.1483
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + phosphate 2816 7.6384054 19452.3815 26.635654 2000-2012 –> 2013-2019 15.4197341 56168.1413
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + silicate + phosphate 2816 7.1344030 19069.9395 24.441528 2000-2012 –> 2013-2019 14.5251760 55243.0906
Indo-Pacific (26,26.5] cstar_tref ~ aou + phosphate + phosphate_star 5525 5.5397605 34606.3322 42.874319 1982-1999 –> 2000-2012 10.8450455 82240.1231
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5525 4.8905258 33230.9339 41.688307 1982-1999 –> 2000-2012 9.5377100 78823.9388
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate 5525 6.6073445 36553.6801 52.604626 1982-1999 –> 2000-2012 12.9409584 86920.1020
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 5525 5.0675025 33623.7421 44.531956 1982-1999 –> 2000-2012 9.8456651 79645.4511
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate 5525 6.1641700 35788.4969 53.531701 1982-1999 –> 2000-2012 12.0942150 85141.4154
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5525 4.5360650 32401.5327 43.772780 1982-1999 –> 2000-2012 8.7824377 76605.3494
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate 5525 5.4925582 34511.7758 42.074977 1982-1999 –> 2000-2012 10.7300960 81947.3373
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 5525 4.8893893 33228.3657 40.409229 1982-1999 –> 2000-2012 9.5091497 78730.0815
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + phosphate 5525 5.4949921 34516.6714 53.690387 1982-1999 –> 2000-2012 10.7077534 81879.0953
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 5525 4.9304894 33320.8635 50.805047 1982-1999 –> 2000-2012 9.5666218 78877.1440
Indo-Pacific (26,26.5] cstar_tref ~ aou + phosphate + phosphate_star 2918 5.5329504 18274.6942 40.255296 2000-2012 –> 2013-2019 11.0727108 52881.0264
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2918 4.8175903 17468.7156 40.382988 2000-2012 –> 2013-2019 9.7081161 50699.6495
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate 2918 6.6591304 19355.9165 25.443175 2000-2012 –> 2013-2019 13.2664750 55909.5967
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 2918 5.0324162 17723.3190 47.734928 2000-2012 –> 2013-2019 10.0999186 51347.0611
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate 2918 6.1505848 18894.2946 22.720537 2000-2012 –> 2013-2019 12.3147548 54682.7915
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2918 4.4724496 17036.8813 46.310491 2000-2012 –> 2013-2019 9.0085146 49438.4140
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate 2918 5.4808261 18219.4544 37.883881 2000-2012 –> 2013-2019 10.9733843 52731.2302
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 2918 4.8142859 17464.7112 37.043514 2000-2012 –> 2013-2019 9.7036752 50693.0769
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + phosphate 2918 5.4774950 18215.9063 35.116956 2000-2012 –> 2013-2019 10.9724872 52732.5777
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 2918 4.8517131 17509.9060 34.225344 2000-2012 –> 2013-2019 9.7822025 50830.7695
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + phosphate + phosphate_star 4544 4.3483592 26262.8430 22.498422 1982-1999 –> 2000-2012 8.4872696 61980.7739
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4544 4.0473152 25612.8259 22.127132 1982-1999 –> 2000-2012 7.9963826 60742.2745
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate 4544 4.6540221 26880.2201 34.501523 1982-1999 –> 2000-2012 9.1712885 63698.2299
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4544 4.2282325 26010.2468 17.683523 1982-1999 –> 2000-2012 8.1624139 61092.2007
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 4544 4.4841809 26544.3649 33.640202 1982-1999 –> 2000-2012 8.9152165 63121.9887
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4544 3.9265162 25339.4488 20.226531 1982-1999 –> 2000-2012 7.6839109 59845.1956
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate 4544 4.4055596 26381.6114 29.391989 1982-1999 –> 2000-2012 8.6008539 62269.7071
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4544 4.1322494 25801.5670 26.615035 1982-1999 –> 2000-2012 8.1538965 61160.0507
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + phosphate 4544 4.4727413 26519.1509 35.203832 1982-1999 –> 2000-2012 8.7384525 62616.5797
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 4544 4.2095240 25969.9463 32.334600 1982-1999 –> 2000-2012 8.3064308 61561.5980
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + phosphate + phosphate_star 2447 4.7435174 14573.1612 20.966573 2000-2012 –> 2013-2019 9.0918766 40836.0042
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2447 4.4033896 14211.0265 24.538450 2000-2012 –> 2013-2019 8.4507048 39823.8524
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate 2447 5.0674288 14896.4326 18.828251 2000-2012 –> 2013-2019 9.7214509 41776.6527
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 2447 4.6312511 14457.9407 20.916727 2000-2012 –> 2013-2019 8.8594835 40468.1875
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 2447 4.8633534 14697.2630 18.983377 2000-2012 –> 2013-2019 9.3475343 41241.6279
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2447 4.2938981 14089.7973 24.434470 2000-2012 –> 2013-2019 8.2204143 39429.2462
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate 2447 4.7974799 14628.5214 20.503345 2000-2012 –> 2013-2019 9.2030396 41010.1328
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 2447 4.4871872 14303.2855 23.916608 2000-2012 –> 2013-2019 8.6194367 40104.8525
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + phosphate 2447 4.8558146 14687.6708 19.899362 2000-2012 –> 2013-2019 9.3285558 41206.8216
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 2447 4.5556780 14377.4214 23.174250 2000-2012 –> 2013-2019 8.7652020 40347.3676
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 5354 4.5403612 31405.2681 19.876020 1982-1999 –> 2000-2012 8.5493390 73701.4539
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5354 4.5232238 31366.7748 18.928405 1982-1999 –> 2000-2012 8.5202080 73619.8323
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate 5354 5.1989790 32855.7278 28.057737 1982-1999 –> 2000-2012 9.9412334 77681.9733
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 5354 4.3077986 30844.2463 21.980567 1982-1999 –> 2000-2012 7.9956057 71884.6902
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 5354 5.1172233 32688.0029 26.871108 1982-1999 –> 2000-2012 9.7777587 77254.4361
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5354 4.2906105 30803.4359 21.052395 1982-1999 –> 2000-2012 7.9645082 71788.9629
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate 5354 4.7325547 31849.2068 22.112703 1982-1999 –> 2000-2012 8.9380478 74866.1886
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 5354 4.7085076 31796.6584 21.818996 1982-1999 –> 2000-2012 8.8953150 74748.5682
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + phosphate 5354 4.8452343 32101.1707 23.622430 1982-1999 –> 2000-2012 9.1905960 75610.9426
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 5354 4.8218019 32051.2593 23.312826 1982-1999 –> 2000-2012 9.1486740 75498.8053
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 2868 4.9134802 17280.6429 19.343238 2000-2012 –> 2013-2019 9.4538414 48685.9111
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2868 4.9018613 17269.0630 18.494849 2000-2012 –> 2013-2019 9.4250851 48635.8378
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate 2868 5.6359089 18067.4842 19.999053 2000-2012 –> 2013-2019 10.8348879 50923.2119
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 2868 4.6612052 16980.3073 20.095371 2000-2012 –> 2013-2019 8.9690038 47824.5536
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2868 5.5589685 17990.6379 18.645249 2000-2012 –> 2013-2019 10.6761918 50678.6408
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2868 4.6499950 16968.4956 19.282213 2000-2012 –> 2013-2019 8.9406055 47771.9315
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate 2868 5.1322867 17530.5538 18.555267 2000-2012 –> 2013-2019 9.8648414 49379.7605
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2868 5.1132156 17511.1996 17.396394 2000-2012 –> 2013-2019 9.8217232 49307.8580
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + phosphate 2868 5.2448998 17655.0527 17.217990 2000-2012 –> 2013-2019 10.0901341 49756.2234
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 2868 5.2254515 17635.7438 17.046500 2000-2012 –> 2013-2019 10.0472534 49687.0031
Indo-Pacific (27,27.25] cstar_tref ~ aou + phosphate + phosphate_star 6466 4.7984147 38640.7823 53.611488 1982-1999 –> 2000-2012 8.7039365 87808.0078
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 6466 4.4389355 37635.7547 39.385070 1982-1999 –> 2000-2012 8.0900559 85614.5068
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 6466 4.7089499 38399.3937 56.109262 1982-1999 –> 2000-2012 8.4861976 86978.3817
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 6466 4.7465593 38502.2685 25.938937 1982-1999 –> 2000-2012 8.7928102 88297.1419
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6466 4.3929768 37503.1646 41.945012 1982-1999 –> 2000-2012 7.9587117 85065.6810
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 6466 4.6876932 38342.8849 21.746845 1982-1999 –> 2000-2012 8.8474367 88628.6682
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate 6466 4.9930866 39155.0711 53.367774 1982-1999 –> 2000-2012 9.0706760 89084.3033
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 6466 4.5799992 38040.3224 37.420573 1982-1999 –> 2000-2012 8.3645596 86653.4940
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + phosphate 6466 5.1276743 39499.0354 52.755848 1982-1999 –> 2000-2012 9.3481294 90036.9072
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate 6466 4.6882058 38342.2992 36.052942 1982-1999 –> 2000-2012 8.5937887 87511.8009
Indo-Pacific (27,27.25] cstar_tref ~ aou + phosphate + phosphate_star 3470 5.7871239 22041.5433 46.597377 2000-2012 –> 2013-2019 10.5855386 60682.3256
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3470 5.1328308 21210.8952 31.173698 2000-2012 –> 2013-2019 9.5717663 58846.6499
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3470 5.4397101 21615.8903 20.798154 2000-2012 –> 2013-2019 10.3681703 60606.4873
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 3470 5.6798492 21913.6907 49.289012 2000-2012 –> 2013-2019 10.3887991 60313.0844
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 3470 5.3345972 21478.4743 22.271388 2000-2012 –> 2013-2019 10.0811565 59980.7427
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3470 5.0789520 21139.6617 33.597697 2000-2012 –> 2013-2019 9.4719288 58642.8263
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 3470 5.1816896 21278.6438 20.340514 2000-2012 –> 2013-2019 9.8693827 59621.5287
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate_star 3470 5.4833669 21669.3654 20.944689 2000-2012 –> 2013-2019 10.4723249 60815.7390
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 3470 5.2457410 21361.9039 28.969816 2000-2012 –> 2013-2019 9.8257402 59402.2264
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate 3470 5.3226341 21462.8935 27.632792 2000-2012 –> 2013-2019 10.0108400 59805.1927
Indo-Pacific (27.25,27.5] cstar_tref ~ oxygen + nitrate + silicate + phosphate_star 5847 3.6972581 31896.0421 35.971452 1982-1999 –> 2000-2012 6.8980977 72667.8810
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5847 3.4261572 31007.5182 32.305003 1982-1999 –> 2000-2012 6.3475428 70339.4077
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 5847 3.8461151 32357.6286 30.339456 1982-1999 –> 2000-2012 7.0211675 73001.7908
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5847 3.6920890 31881.6814 32.521736 1982-1999 –> 2000-2012 6.7625645 71999.2104
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 5847 3.7105782 31938.0962 31.726047 1982-1999 –> 2000-2012 6.7817085 72056.9912
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 5847 3.4222130 30994.0484 31.732058 1982-1999 –> 2000-2012 6.3354476 70281.8372
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate 5847 3.7568967 32083.1670 30.801943 1982-1999 –> 2000-2012 6.8441839 72284.8816
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 5847 3.7568967 32083.1670 30.801943 1982-1999 –> 2000-2012 6.8441839 72284.8816
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate_star 5847 3.7568967 32083.1670 30.801943 1982-1999 –> 2000-2012 6.8441839 72284.8816
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5847 3.7568967 32083.1670 30.801943 1982-1999 –> 2000-2012 6.8441839 72284.8816
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3127 4.4695770 18250.1168 36.686764 2000-2012 –> 2013-2019 8.3061406 50578.6684
Indo-Pacific (27.25,27.5] cstar_tref ~ oxygen + nitrate + silicate + phosphate_star 3127 4.3080384 18019.9002 34.741395 2000-2012 –> 2013-2019 8.0052965 49915.9424
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3127 3.9776245 17522.8442 31.036835 2000-2012 –> 2013-2019 7.4037817 48530.3624
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3127 4.3037583 18015.6837 32.127293 2000-2012 –> 2013-2019 7.9958473 49897.3651
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3127 4.3425043 18069.7354 30.551097 2000-2012 –> 2013-2019 8.0530824 50007.8316
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 3127 3.9789503 17524.9283 30.123196 2000-2012 –> 2013-2019 7.4011633 48518.9767
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate 3127 4.4121255 18169.2074 29.187384 2000-2012 –> 2013-2019 8.1690222 50252.3744
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 3127 4.4121255 18169.2074 29.187384 2000-2012 –> 2013-2019 8.1690222 50252.3744
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate_star 3127 4.4121255 18169.2074 29.187384 2000-2012 –> 2013-2019 8.1690222 50252.3744
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3127 4.4121255 18169.2074 29.187384 2000-2012 –> 2013-2019 8.1690222 50252.3744
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5836 3.2683124 30398.6938 24.119856 1982-1999 –> 2000-2012 5.5822735 67013.2424
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 5836 3.5684756 31422.2510 27.037264 1982-1999 –> 2000-2012 6.0538534 69193.2287
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5836 3.2280103 30253.8699 9.417658 1982-1999 –> 2000-2012 5.5715676 67074.4342
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 5836 3.3807244 30791.3972 22.456992 1982-1999 –> 2000-2012 5.7423173 67734.2326
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 5836 3.3957705 30843.2286 29.089521 1982-1999 –> 2000-2012 5.7808728 67946.6354
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 5836 3.2980912 30504.5604 26.307453 1982-1999 –> 2000-2012 5.6183359 67163.0675
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate 5836 3.4363673 30981.9413 25.357370 1982-1999 –> 2000-2012 5.8135896 68031.7039
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 5836 3.4363673 30981.9413 25.357370 1982-1999 –> 2000-2012 5.8135896 68031.7039
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate_star 5836 3.4363673 30981.9413 25.357370 1982-1999 –> 2000-2012 5.8135896 68031.7039
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5836 3.4363673 30981.9413 25.357370 1982-1999 –> 2000-2012 5.8135896 68031.7039
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3104 3.9417327 17337.7899 25.386634 2000-2012 –> 2013-2019 7.2100451 47736.4837
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3104 4.1222456 17613.7695 17.053811 2000-2012 –> 2013-2019 7.6293157 48833.4235
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3104 3.7804110 17078.3721 11.020697 2000-2012 –> 2013-2019 7.0084214 47332.2420
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3104 4.0989818 17578.6356 23.944569 2000-2012 –> 2013-2019 7.4797062 48370.0328
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3104 4.1948886 17722.2154 32.318244 2000-2012 –> 2013-2019 7.5906591 48565.4440
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 3104 4.0075075 17440.5265 28.440018 2000-2012 –> 2013-2019 7.3055987 47945.0868
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate 3104 4.2088784 17742.8844 27.865993 2000-2012 –> 2013-2019 7.6452457 48724.8257
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 3104 4.2088784 17742.8844 27.865993 2000-2012 –> 2013-2019 7.6452457 48724.8257
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate_star 3104 4.2088784 17742.8844 27.865993 2000-2012 –> 2013-2019 7.6452457 48724.8257
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3104 4.2088784 17742.8844 27.865993 2000-2012 –> 2013-2019 7.6452457 48724.8257
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + phosphate + phosphate_star 2317 2.7709036 11308.2111 22.832566 1982-1999 –> 2000-2012 4.7245862 24397.3664
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2317 2.7304690 11242.0909 21.046900 1982-1999 –> 2000-2012 4.6623579 24262.9999
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2317 2.7270992 11238.3684 21.253438 1982-1999 –> 2000-2012 4.7478782 24542.9724
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 2317 2.7697926 11308.3527 23.085715 1982-1999 –> 2000-2012 4.7085397 24351.4525
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2317 2.7527573 11279.7638 20.320816 1982-1999 –> 2000-2012 4.7505088 24510.6006
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2317 2.7290365 11241.6591 21.325228 1982-1999 –> 2000-2012 4.6507603 24231.5321
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate 2317 2.7795293 11322.6141 22.483935 1982-1999 –> 2000-2012 4.7425976 24441.7808
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2317 2.7417874 11261.2601 20.642191 1982-1999 –> 2000-2012 4.6870749 24325.4494
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + phosphate 2317 2.7770643 11318.5027 22.348926 1982-1999 –> 2000-2012 4.7459420 24456.1732
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + silicate + phosphate 2317 2.7373185 11253.7009 20.385504 1982-1999 –> 2000-2012 4.6897567 24340.8662
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1264 3.2186888 6554.2431 28.626916 2000-2012 –> 2013-2019 5.9491578 17796.3339
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1264 3.1358059 6490.2930 31.989646 2000-2012 –> 2013-2019 5.8629052 17728.6613
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1264 3.1693826 6517.2176 30.950746 2000-2012 –> 2013-2019 5.8984191 17758.8767
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 1264 3.1779674 6522.0559 29.072248 2000-2012 –> 2013-2019 5.9160467 17777.0445
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1264 3.1488202 6498.7630 29.448400 2000-2012 –> 2013-2019 5.8762396 17735.6753
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1264 3.1390093 6492.8741 31.279189 2000-2012 –> 2013-2019 5.8653527 17729.9579
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate 1264 3.1768073 6521.1329 29.025171 2000-2012 –> 2013-2019 5.9117926 17770.8822
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 1264 3.1768073 6521.1329 29.025171 2000-2012 –> 2013-2019 5.9117926 17770.8822
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1264 3.1768073 6521.1329 29.025171 2000-2012 –> 2013-2019 5.9117926 17770.8822
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1264 3.1768073 6521.1329 29.025171 2000-2012 –> 2013-2019 5.9117926 17770.8822
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 2907 2.7949495 14235.4194 33.549633 1982-1999 –> 2000-2012 4.9554093 31803.2814
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2907 2.7916993 14230.6545 33.332942 1982-1999 –> 2000-2012 4.9354297 31738.1725
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2907 2.7913452 14231.9170 33.450567 1982-1999 –> 2000-2012 4.9336828 31736.2227
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate 2907 2.7508958 14143.0500 28.639627 1982-1999 –> 2000-2012 4.9304458 31781.4667
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 2907 2.7484328 14139.8421 28.396374 1982-1999 –> 2000-2012 4.9240749 31765.8662
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 2907 2.7953002 14238.1489 33.042313 1982-1999 –> 2000-2012 4.9421851 31757.4596
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate 2907 2.7499312 14141.0108 28.547833 1982-1999 –> 2000-2012 4.9295241 31779.5857
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate 2907 2.7476621 14138.2115 28.325089 1982-1999 –> 2000-2012 4.9235034 31764.9698
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + phosphate 2907 2.7969089 14239.4940 33.225970 1982-1999 –> 2000-2012 4.9565475 31804.3068
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + silicate + phosphate 2907 2.7948101 14237.1294 33.015412 1982-1999 –> 2000-2012 4.9429857 31761.2604
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1542 3.3126052 8081.8211 35.442498 2000-2012 –> 2013-2019 6.1043045 22312.4755
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1542 3.3089038 8080.3731 35.834119 2000-2012 –> 2013-2019 6.1002490 22312.2901
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + nitrate + phosphate_star 1542 3.3109222 8080.2538 31.535597 2000-2012 –> 2013-2019 6.0927821 22290.3805
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + nitrate + silicate 1542 3.3366152 8104.0934 29.544640 2000-2012 –> 2013-2019 6.1199466 22317.2947
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1542 3.3033826 8075.2229 30.820497 2000-2012 –> 2013-2019 6.0846779 22286.1697
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate 1542 3.3281826 8094.2894 31.958774 2000-2012 –> 2013-2019 6.0790784 22237.3394
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 1542 3.3046795 8074.4335 31.424170 2000-2012 –> 2013-2019 6.0531124 22214.2756
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate 1542 3.3200594 8086.7530 34.851867 2000-2012 –> 2013-2019 6.0832309 22255.6898
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate 1542 3.3252514 8091.5720 31.716600 2000-2012 –> 2013-2019 6.0751825 22232.5829
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate 1542 3.3028816 8072.7552 31.234941 2000-2012 –> 2013-2019 6.0505437 22210.9666
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2467 2.2624239 11041.3418 8.237248 1982-1999 –> 2000-2012 4.1845877 25738.2975
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 2467 2.2113048 10928.5800 7.943853 1982-1999 –> 2000-2012 4.2478288 26035.0564
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2467 2.1936153 10890.9515 8.036190 1982-1999 –> 2000-2012 4.1649943 25769.0539
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 2467 2.2511588 11016.7129 7.786842 1982-1999 –> 2000-2012 4.2367737 25943.8015
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2467 2.2115502 10931.1275 8.468880 1982-1999 –> 2000-2012 4.1022689 25513.2034
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate 2467 2.2681551 11053.8247 8.177228 1982-1999 –> 2000-2012 4.2263615 25882.4203
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate 2467 2.2885543 11096.0016 7.992878 1982-1999 –> 2000-2012 4.2990073 26109.1794
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 2467 2.2777752 11074.7074 8.288880 1982-1999 –> 2000-2012 4.2106641 25811.0912
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate 2467 2.2694946 11056.7378 8.186678 1982-1999 –> 2000-2012 4.2287407 25889.0947
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 2467 2.2789172 11077.1806 8.289996 1982-1999 –> 2000-2012 4.2138321 25820.9878
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1354 2.5384577 6377.1411 7.728054 2000-2012 –> 2013-2019 4.8008817 17418.4829
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 1354 2.4060015 6232.0181 8.104133 2000-2012 –> 2013-2019 4.6173063 17160.5981
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1354 2.4007452 6228.0956 8.259744 2000-2012 –> 2013-2019 4.5943605 17119.0470
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 1354 2.4939482 6329.2376 8.352020 2000-2012 –> 2013-2019 4.7451070 17345.9505
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1354 2.4779038 6313.7598 8.329809 2000-2012 –> 2013-2019 4.6894540 17244.8873
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1354 2.5167285 6355.8608 8.981549 2000-2012 –> 2013-2019 4.8166120 17480.2273
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate 1354 2.5596687 6399.6748 8.001670 2000-2012 –> 2013-2019 4.8278238 17453.4995
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 1354 2.5573875 6397.2602 7.772823 2000-2012 –> 2013-2019 4.8351626 17471.9676
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate 1354 2.5600102 6400.0360 7.946110 2000-2012 –> 2013-2019 4.8295048 17456.7738
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 1354 2.5570958 6396.9513 7.768822 2000-2012 –> 2013-2019 4.8360130 17474.1319
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1718 1.9453032 7175.8486 9.430189 1982-1999 –> 2000-2012 3.5919535 16985.3663
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1718 1.9503440 7182.7407 8.816710 1982-1999 –> 2000-2012 3.5709134 16908.7065
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1718 1.8450332 6994.0133 9.467590 1982-1999 –> 2000-2012 3.4414783 16645.3685
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 1718 1.9651527 7208.7312 9.072067 1982-1999 –> 2000-2012 3.6122623 17017.6733
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1718 1.9562432 7193.1178 9.132845 1982-1999 –> 2000-2012 3.6029208 17000.7204
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 1718 1.9538428 7190.8991 8.874628 1982-1999 –> 2000-2012 3.5863843 16956.4621
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate 1718 1.9539957 7189.1680 8.935869 1982-1999 –> 2000-2012 3.5950802 16979.3910
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 1718 1.9539957 7189.1680 8.935869 1982-1999 –> 2000-2012 3.5950802 16979.3910
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate_star 1718 1.9539957 7189.1680 8.935869 1982-1999 –> 2000-2012 3.5950802 16979.3910
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1718 1.9539957 7189.1680 8.935869 1982-1999 –> 2000-2012 3.5950802 16979.3910
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 966 2.1066397 4192.9110 9.987464 2000-2012 –> 2013-2019 3.9914816 11258.2717
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 966 2.0840468 4174.0792 8.975437 2000-2012 –> 2013-2019 4.0293500 11349.9278
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 966 2.0390556 4131.9137 9.747515 2000-2012 –> 2013-2019 3.8840888 11125.9270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate 966 2.1032628 4189.8117 9.400527 2000-2012 –> 2013-2019 4.0572586 11378.9797
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 966 2.1032628 4189.8117 9.400527 2000-2012 –> 2013-2019 4.0572586 11378.9797
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate_star 966 2.1032628 4189.8117 9.400527 2000-2012 –> 2013-2019 4.0572586 11378.9797
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 966 2.1032628 4189.8117 9.400527 2000-2012 –> 2013-2019 4.0572586 11378.9797
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 966 2.1188554 4204.0818 10.037184 2000-2012 –> 2013-2019 4.0138656 11287.9289
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + silicate + phosphate 966 2.1186866 4203.9279 10.028459 2000-2012 –> 2013-2019 4.0148349 11289.8379
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate 966 2.1199344 4203.0654 10.143714 2000-2012 –> 2013-2019 4.0665458 11377.2238
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 14627 1.6310156 55832.7692 18.423930 1982-1999 –> 2000-2012 3.0306685 127227.2398
Indo-Pacific (28.1, Inf] cstar_tref ~ oxygen + nitrate + silicate + phosphate_star 14627 1.4377139 52142.4183 8.775636 1982-1999 –> 2000-2012 2.6704554 118372.4597
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 14627 1.5209342 53790.5541 8.043162 1982-1999 –> 2000-2012 2.9137573 124988.0837
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 14627 1.4320006 52025.9353 13.806990 1982-1999 –> 2000-2012 2.7088012 119684.1812
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 14627 1.3378772 50039.0036 16.225048 1982-1999 –> 2000-2012 2.5090135 114186.0580
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 14627 1.3133686 49498.1312 9.366747 1982-1999 –> 2000-2012 2.4634246 112906.4588
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate_star 14627 1.6072254 55402.9247 9.839246 1982-1999 –> 2000-2012 3.1030388 129499.7490
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 14627 1.6072254 55402.9247 9.839246 1982-1999 –> 2000-2012 3.1030388 129499.7490
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate 14627 1.6564391 56285.2493 18.364072 1982-1999 –> 2000-2012 3.0775620 128298.8415
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + silicate + phosphate 14627 1.6697977 56520.2259 18.221976 1982-1999 –> 2000-2012 3.1051732 128939.6726
Indo-Pacific (28.1, Inf] cstar_tref ~ oxygen + nitrate + silicate + phosphate_star 7804 1.6277929 29763.4008 8.895830 2000-2012 –> 2013-2019 3.0655068 81905.8190
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 7804 1.6305548 29791.8606 9.567306 2000-2012 –> 2013-2019 3.1514890 83582.4147
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 7804 1.5693631 29192.8476 10.689506 2000-2012 –> 2013-2019 3.0013637 81218.7829
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 7804 1.4923380 28409.3615 12.644005 2000-2012 –> 2013-2019 2.8302151 78448.3652
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 7804 1.7461744 30859.1181 9.861265 2000-2012 –> 2013-2019 3.3965195 87036.5449
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star 7804 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate 7804 1.7050926 30487.5244 9.446823 2000-2012 –> 2013-2019 3.3123180 85890.4491
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate + phosphate_star 7804 1.7050926 30487.5244 9.446823 2000-2012 –> 2013-2019 3.3123180 85890.4491
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate_star 7804 1.7050926 30487.5244 9.446823 2000-2012 –> 2013-2019 3.3123180 85890.4491
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 7804 1.7050926 30487.5244 9.446823 2000-2012 –> 2013-2019 3.3123180 85890.4491

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 3.1791999 1398.845
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 3.1593129 875.638
Atlantic (26,26.5] 1982-1999 –> 2000-2012 8.6755510 14844.506
Atlantic (26,26.5] 2000-2012 –> 2013-2019 8.5995275 9305.822
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.7093304 17311.372
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 6.9474464 10951.824
Atlantic (26.75,27] 1982-1999 –> 2000-2012 4.3782576 24225.083
Atlantic (26.75,27] 2000-2012 –> 2013-2019 5.0200043 16952.662
Atlantic (27,27.25] 1982-1999 –> 2000-2012 4.3349596 20305.687
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.4553430 14011.784
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 5.1666841 22988.798
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 6.1496465 15711.652
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 5.4203721 31405.015
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 5.9646267 21538.850
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 3.9350731 9859.819
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 4.1250069 6618.097
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 6.5392954 11989.457
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 7.3500190 8453.684
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 9.1549127 16942.051
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 8.8247083 10910.079
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 2.1040053 5482.148
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.3422086 3907.901
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.5555773 5134.659
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.8652948 3801.012
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.1877980 6741.462
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.4622199 4907.249
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 0.8648602 7082.567
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 0.9284906 5309.877
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 15.3876540 86329.937
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 14.8683995 55518.719
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 10.4559653 81081.004
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 10.6902239 52194.619
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 8.4216116 61808.860
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.9607699 40624.475
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 8.8921286 74665.585
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 9.8123568 49265.093
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 8.6256302 87567.889
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 10.0645647 59871.680
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.7523264 71948.664
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 7.9841401 49845.864
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.7603579 67825.166
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 7.4804729 48368.202
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.7110002 24386.119
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.9015291 17761.008
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.9373788 31769.259
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.0843108 22266.946
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.2115059 25851.219
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.7592226 17362.557
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.5786233 16943.186
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 4.0229201 11320.504
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 2.8684933 123360.249
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 3.1464663 83328.640

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 (aic) 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
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

Version Author Date
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Version Author Date
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate oxygen phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 6 6 3 2 9 10 6 0
(26,26.5] 7 6 3 4 4 2 8 6
(26.5,26.75] 6 1 4 7 5 7 10 2
(26.75,27] 6 2 3 6 7 7 10 2
(27,27.25] 6 3 3 6 6 8 10 1
(27.25,27.5] 8 7 2 3 4 5 7 4
(27.5,27.75] 8 6 2 4 5 7 8 2
(27.75,27.85] 8 4 2 6 6 8 7 1
(27.85,27.95] 8 2 2 8 5 3 6 5
(27.95,28.05] 5 3 5 7 6 4 6 4
(28.05,28.1] 8 2 2 8 5 3 6 5
(28.1,28.15] 8 2 2 8 5 3 6 5
(28.15,28.2] 7 10 3 0 4 5 6 4
(28.2, Inf] 6 10 4 0 5 8 6 1
total 97.00 64.00 40.00 69.00 76.00 80.00 102.00 42.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 6 6 3 2 9 10 6 0
(26,26.5] 7 6 3 4 4 2 8 6
(26.5,26.75] 6 2 4 7 5 7 10 2
(26.75,27] 6 2 3 6 7 7 10 2
(27,27.25] 4 3 4 5 7 10 10 0
(27.25,27.5] 8 7 2 3 5 6 8 3
(27.5,27.75] 6 4 4 6 5 10 7 0
(27.75,27.85] 6 5 3 3 8 10 8 0
(27.85,27.95] 8 2 2 8 5 3 6 5
(27.95,28.05] 6 2 4 8 6 4 5 4
(28.05,28.1] 8 1 2 9 5 4 6 4
(28.1,28.15] 8 2 2 8 5 3 6 5
(28.15,28.2] 7 10 3 0 5 6 6 3
(28.2, Inf] 5 10 4 0 6 9 6 0
total 91.00 62.00 43.00 69.00 82.00 91.00 102.00 34.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 7 2 3 8 4 2 6 6
(26,26.5] 8 0 2 10 4 4 5 4
(26.5,26.75] 8 0 2 10 4 4 5 4
(26.75,27] 8 0 2 10 4 4 5 4
(27,27.25] 7 1 3 9 5 4 6 4
(27.25,27.5] 4 3 5 5 7 9 10 0
(27.5,27.75] 4 3 4 5 7 10 10 0
(27.75,27.85] 8 1 2 9 5 4 6 4
(27.85,27.95] 6 4 4 6 3 1 6 7
(27.95,28.05] 8 4 2 5 5 4 8 5
(28.05,28.1] 4 3 4 5 7 10 10 0
(28.1, Inf] 5 3 4 6 7 6 10 2
total 77.00 24.00 37.00 88.00 62.00 62.00 87.00 40.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 2 3 8 4 2 6 6
(26,26.5] 8 0 2 10 4 4 5 4
(26.5,26.75] 8 0 2 10 4 4 5 4
(26.75,27] 8 0 2 10 4 4 5 4
(27,27.25] 7 2 3 7 7 6 8 2
(27.25,27.5] 4 4 5 4 8 8 10 0
(27.5,27.75] 4 3 4 5 8 10 9 0
(27.75,27.85] 4 3 4 5 8 9 10 0
(27.85,27.95] 4 8 5 2 4 4 7 5
(27.95,28.05] 7 5 3 5 6 5 8 4
(28.05,28.1] 4 1 4 8 5 6 10 3
(28.1, Inf] 4 3 5 5 7 9 10 0
total 69.00 31.00 42.00 79.00 69.00 71.00 93.00 32.00

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
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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

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

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

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

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

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