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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, 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 %>%
  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")
  )) %>%
  filter(!(
    str_detect(lm_coeff_filter, "temp") &
      str_detect(lm_coeff_filter, "phosphate_star")
  )) %>%
  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:

  • 45

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 158 1.8141356 648.5971 8.957183 1982-1999 –> 2000-2012 3.6424610 1501.8901
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 ~ temp + aou + phosphate + phosphate_star 158 1.4654213 581.1417 7.417048 1982-1999 –> 2000-2012 3.1276914 1394.8248
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 158 1.4545749 580.7941 7.074044 1982-1999 –> 2000-2012 3.1160634 1396.2815
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 72 1.8325789 301.5514 5.631280 2000-2012 –> 2013-2019 3.6473953 948.2671
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 ~ temp + aou + phosphate + phosphate_star 72 1.5761474 281.8448 5.713265 2000-2012 –> 2013-2019 3.0415687 862.9865
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 72 1.5044066 277.1365 5.003414 2000-2012 –> 2013-2019 2.9589816 857.9306
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 + 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 + phosphate_star 1046 4.1960266 5980.6362 10.665564 1982-1999 –> 2000-2012 8.3544396 14667.0559
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 + nitrate + silicate + phosphate_star 1046 4.0338370 5900.1695 15.685804 1982-1999 –> 2000-2012 8.1154929 14531.7655
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 + aou + silicate + phosphate + phosphate_star 1046 4.2948916 6031.3553 13.012884 1982-1999 –> 2000-2012 8.5299909 14775.5085
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 1046 4.4942951 6124.2955 12.381481 1982-1999 –> 2000-2012 8.8658241 14963.1522
Atlantic (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1046 4.4898702 6122.2348 12.384079 1982-1999 –> 2000-2012 8.8545410 14956.3028
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 + phosphate_star 567 4.1023698 3221.7908 12.065595 2000-2012 –> 2013-2019 8.2983964 9202.4270
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 + nitrate + silicate + phosphate_star 567 3.8631919 3155.6702 14.511046 2000-2012 –> 2013-2019 7.8970289 9055.8397
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 + aou + silicate + phosphate + phosphate_star 567 4.2189568 3255.5690 10.763473 2000-2012 –> 2013-2019 8.5138484 9286.9243
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 567 4.4555144 3315.4339 11.876083 2000-2012 –> 2013-2019 8.9498095 9439.7294
Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 567 4.4501173 3314.0594 11.610465 2000-2012 –> 2013-2019 9.0032917 9465.5840
Atlantic (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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 ~ temp + aou + nitrate + silicate + phosphate_star 1397 3.3250708 7335.4800 10.297171 1982-1999 –> 2000-2012 6.4698137 17079.8406
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 + aou + silicate + phosphate + phosphate_star 1397 3.2249399 7250.0489 10.037456 1982-1999 –> 2000-2012 6.2079736 16794.1190
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 1397 3.4336491 7423.2585 10.906572 1982-1999 –> 2000-2012 6.6279234 17224.9109
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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 ~ temp + aou + nitrate + silicate + phosphate_star 656 3.4093443 3484.8416 9.603997 2000-2012 –> 2013-2019 6.7344151 10820.3216
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 + aou + silicate + phosphate + phosphate_star 656 3.3238240 3451.5114 11.113656 2000-2012 –> 2013-2019 6.5487639 10701.5603
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 656 3.5219283 3525.4667 11.414557 2000-2012 –> 2013-2019 6.9555774 10948.7252
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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 ~ temp + aou + nitrate + silicate + phosphate_star 2398 2.1989701 10598.4250 16.309198 1982-1999 –> 2000-2012 3.9946362 23199.5206
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 + aou + silicate + phosphate + phosphate_star 2398 2.0860637 10345.6268 19.975942 1982-1999 –> 2000-2012 3.5995129 21872.9381
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2398 2.2716861 10752.4544 17.733985 1982-1999 –> 2000-2012 4.1106467 23501.1674
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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 ~ temp + aou + nitrate + silicate + phosphate_star 1263 2.6623762 6071.7460 22.596317 2000-2012 –> 2013-2019 4.8613463 16670.1710
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 + aou + silicate + phosphate + phosphate_star 1263 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.3413155 15998.1644
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 1263 2.8094508 6205.5690 28.490393 2000-2012 –> 2013-2019 5.0811370 16958.0234
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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 + 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 + nitrate + silicate + phosphate_star 2031 2.0594140 8712.2044 13.384239 1982-1999 –> 2000-2012 3.7359927 18834.3973
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 ~ temp + aou + silicate + phosphate + phosphate_star 2031 2.3112875 9180.8912 13.899054 1982-1999 –> 2000-2012 4.3877097 20420.0232
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 1142 2.5949142 5430.7717 26.110705 2000-2012 –> 2013-2019 5.2008719 15097.0846
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 + 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 ~ temp + aou + nitrate + silicate 1142 2.5482980 5389.3678 24.568652 2000-2012 –> 2013-2019 4.7584736 14386.5545
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1142 2.5328202 5377.4530 21.355986 2000-2012 –> 2013-2019 4.5922342 14089.6574
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1142 2.8129211 5617.0221 14.119428 2000-2012 –> 2013-2019 5.1242086 14797.9132
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 + phosphate_star 2025 3.2416466 10521.8308 14.065245 1982-1999 –> 2000-2012 5.6959814 23869.2987
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 + aou + nitrate + silicate + phosphate_star 2025 2.2547324 9053.4778 15.509020 1982-1999 –> 2000-2012 3.9706310 20342.7650
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 ~ 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 + phosphate_star 1109 3.8362543 6141.2988 14.326379 2000-2012 –> 2013-2019 7.0779009 16663.1296
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 + aou + nitrate + silicate + phosphate_star 1109 2.7923328 5438.8197 16.610907 2000-2012 –> 2013-2019 5.0470652 14492.2975
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 ~ 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 + aou + nitrate + silicate + phosphate_star 2804 3.1165165 14346.1100 16.244315 1982-1999 –> 2000-2012 5.5026775 31451.5564
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2804 3.5991348 15153.5364 18.870153 1982-1999 –> 2000-2012 6.4104814 33483.5690
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 + aou + silicate + phosphate_star 1515 3.3350768 7961.0058 16.848174 2000-2012 –> 2013-2019 6.5804110 22532.2534
Atlantic (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1515 3.3077463 7936.0730 16.206508 2000-2012 –> 2013-2019 6.5222357 22453.7654
Atlantic (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1515 3.2671643 7898.6687 16.135848 2000-2012 –> 2013-2019 6.4589075 22376.5370
Atlantic (27.5,27.75] cstar_tref ~ sal + silicate + phosphate_star 1515 3.4628831 8072.9513 19.517533 2000-2012 –> 2013-2019 6.7421755 22700.5745
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 ~ temp + aou + phosphate + phosphate_star 1036 2.3534421 4725.4219 15.118939 1982-1999 –> 2000-2012 4.2585637 10185.0207
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 ~ temp + aou + silicate + phosphate + phosphate_star 1036 2.2923345 4672.9112 15.392219 1982-1999 –> 2000-2012 4.1974560 10134.5099
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 513 2.6899097 2481.0658 10.612786 2000-2012 –> 2013-2019 4.9656861 7134.9560
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 + silicate + phosphate + phosphate_star 513 2.2850958 2315.7255 11.564796 2000-2012 –> 2013-2019 4.5875235 6995.7397
Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate_star 513 2.2851991 2313.7719 11.573863 2000-2012 –> 2013-2019 4.5932183 6996.8119
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 + 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 + phosphate_star 983 3.7923676 5422.2925 44.092878 1982-1999 –> 2000-2012 6.7419054 12115.8610
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 983 3.7119861 5382.1740 36.399240 1982-1999 –> 2000-2012 6.6375507 12055.9363
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 + phosphate + phosphate_star 983 3.0946626 5022.5819 23.332862 1982-1999 –> 2000-2012 6.0114682 11686.3324
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 + aou + silicate + phosphate + phosphate_star 983 3.0757549 5012.5332 23.130965 1982-1999 –> 2000-2012 5.9400103 11629.7050
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 + phosphate_star 569 3.8223998 3154.6717 23.042368 2000-2012 –> 2013-2019 7.5343859 8536.8458
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 + phosphate + phosphate_star 569 3.6730463 3107.3144 22.693963 2000-2012 –> 2013-2019 6.7677089 8129.8962
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 + aou + silicate + phosphate + phosphate_star 569 3.6600265 3105.2733 23.151675 2000-2012 –> 2013-2019 6.7357814 8117.8065
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 ~ 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 ~ temp + aou + nitrate + phosphate_star 1204 4.0815088 6815.5758 22.528945 1982-1999 –> 2000-2012 8.1122385 16256.3696
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1204 3.8590720 6682.6316 25.099675 1982-1999 –> 2000-2012 7.3908813 15682.5017
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 + aou + silicate + phosphate + phosphate_star 1204 4.5224648 7064.6136 21.845213 1982-1999 –> 2000-2012 9.3768338 17130.6504
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 1204 4.5699997 7087.7916 24.379873 1982-1999 –> 2000-2012 9.4471681 17167.5348
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1204 4.6250887 7116.6453 24.067535 1982-1999 –> 2000-2012 9.5473302 17227.2242
Atlantic (27.95,28.05] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1204 4.5725557 7089.1381 24.432332 1982-1999 –> 2000-2012 9.4509550 17169.7271
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 ~ temp + aou + nitrate + phosphate_star 666 3.8465745 3696.4739 22.933854 2000-2012 –> 2013-2019 7.9280833 10512.0498
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 666 3.5060655 3575.0128 26.986021 2000-2012 –> 2013-2019 7.3651375 10257.6443
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 666 4.4563090 3892.4615 25.112416 2000-2012 –> 2013-2019 9.0917360 11014.4832
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 + aou + silicate + phosphate + phosphate_star 666 4.4290548 3886.2901 23.783433 2000-2012 –> 2013-2019 8.9515196 10950.9038
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 666 4.4290672 3884.2939 23.826635 2000-2012 –> 2013-2019 8.9990669 10972.0855
Atlantic (27.95,28.05] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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 + 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 + phosphate + phosphate_star 804 1.1065403 2456.4443 11.331523 1982-1999 –> 2000-2012 2.0473492 5390.6954
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 + aou + silicate + phosphate + phosphate_star 804 1.0436142 2364.2985 12.188672 1982-1999 –> 2000-2012 1.8828911 5054.7923
Atlantic (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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 + phosphate + phosphate_star 434 1.1480057 1363.4454 12.833810 2000-2012 –> 2013-2019 2.2545460 3819.8898
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 + aou + silicate + phosphate + phosphate_star 434 1.1075442 1334.3006 13.578379 2000-2012 –> 2013-2019 2.1511584 3698.5991
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 + phosphate + phosphate_star 936 0.8570872 2379.5613 9.929510 1982-1999 –> 2000-2012 1.5754781 5209.9919
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 + aou + silicate + phosphate + phosphate_star 936 0.7856962 2218.7544 10.025704 1982-1999 –> 2000-2012 1.3744859 4535.9182
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 936 0.8870327 2443.8499 10.073433 1982-1999 –> 2000-2012 1.5971770 5244.3771
Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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 + 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 + phosphate + phosphate_star 497 0.9653756 1387.3983 11.632299 2000-2012 –> 2013-2019 1.8224628 3766.9596
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 + aou + silicate + phosphate + phosphate_star 497 0.8791505 1296.3985 11.933687 2000-2012 –> 2013-2019 1.6648467 3515.1529
Atlantic (28.1,28.15] cstar_tref ~ temp + phosphate + phosphate_star 497 1.0606641 1478.9667 11.544277 2000-2012 –> 2013-2019 1.9452647 3915.6768
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 ~ 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 + phosphate_star 1540 0.6019966 2819.2202 2.184553 1982-1999 –> 2000-2012 1.1657858 6593.6216
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 + aou + nitrate + silicate + phosphate_star 1540 0.5576121 2585.3284 2.314250 1982-1999 –> 2000-2012 1.1076613 6251.9858
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1540 0.6283932 2951.3960 2.229212 1982-1999 –> 2000-2012 1.2745157 7332.0984
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 ~ temp + aou + nitrate + phosphate_star 819 0.8686623 2105.5896 7.748139 2000-2012 –> 2013-2019 1.4706590 4924.8098
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 + aou + nitrate + silicate + phosphate_star 819 0.8613203 2093.6861 8.208278 2000-2012 –> 2013-2019 1.4189324 4679.0145
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate_star 819 0.9292212 2213.9782 9.786344 2000-2012 –> 2013-2019 1.5644316 5196.6082
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 819 0.8897687 2144.9132 7.849984 2000-2012 –> 2013-2019 1.5181619 5096.3091
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 + nitrate + silicate + phosphate_star 2693 0.6073805 4968.9446 6.599511 1982-1999 –> 2000-2012 1.1735078 11289.6600
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + phosphate_star 2693 0.7687478 6237.9264 4.235220 1982-1999 –> 2000-2012 1.3506754 12762.9490
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 ~ temp + aou + nitrate + silicate + phosphate_star 2693 0.5306498 4243.5482 3.091584 1982-1999 –> 2000-2012 0.9896559 9009.4595
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2693 0.6982481 5721.8554 7.872375 1982-1999 –> 2000-2012 1.3371480 12942.1058
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 + aou + silicate + phosphate + phosphate_star 1557 0.8341145 3867.7431 2.739508 2000-2012 –> 2013-2019 1.5745191 9905.3377
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 ~ temp + aou + nitrate + silicate 1557 0.8076518 3765.3486 6.453251 2000-2012 –> 2013-2019 1.4172941 8754.3124
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1557 0.7057457 3347.3447 8.527267 2000-2012 –> 2013-2019 1.2363955 7590.8929
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1557 0.7915199 3704.5208 11.936972 2000-2012 –> 2013-2019 1.4897681 9426.3762
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 + phosphate_star 5288 7.5910428 36455.9178 35.360052 1982-1999 –> 2000-2012 15.5651468 86748.9705
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5288 7.1987438 35896.7294 31.371808 1982-1999 –> 2000-2012 14.7271008 85364.2640
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 5288 7.5866534 36449.8006 30.398788 1982-1999 –> 2000-2012 15.5091350 86649.4191
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 + aou + silicate + phosphate + phosphate_star 5288 7.2933052 36034.7494 29.166512 1982-1999 –> 2000-2012 14.8774849 85608.5624
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate_star 5288 7.4060853 36195.0399 28.515322 1982-1999 –> 2000-2012 15.1434323 86054.4924
Indo-Pacific (-Inf,26] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5288 7.3907730 36173.1511 28.492599 1982-1999 –> 2000-2012 15.1050761 85989.6943
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 + phosphate_star 2816 7.4349837 19302.3599 28.170296 2000-2012 –> 2013-2019 15.0260265 55758.2776
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2816 6.9521542 18926.2002 25.907885 2000-2012 –> 2013-2019 14.1508980 54822.9297
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 2816 7.3755420 19257.1519 27.689978 2000-2012 –> 2013-2019 14.9621954 55706.9524
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 + aou + silicate + phosphate + phosphate_star 2816 7.0001768 18964.9700 25.465195 2000-2012 –> 2013-2019 14.2934820 54999.7194
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate_star 2816 7.1474074 19080.1961 24.474615 2000-2012 –> 2013-2019 14.5534927 55275.2360
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2816 7.3587257 19244.2962 26.521004 2000-2012 –> 2013-2019 15.0983206 55905.1807
Indo-Pacific (-Inf,26] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2816 7.1344030 19069.9395 24.441528 2000-2012 –> 2013-2019 14.5251760 55243.0906
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 + 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 + 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 + nitrate + phosphate_star 5525 5.2716362 34060.1366 52.742037 1982-1999 –> 2000-2012 10.1613972 80437.9446
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5525 4.7555301 32923.6260 49.041150 1982-1999 –> 2000-2012 9.1671720 77716.3587
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 5525 5.4891091 34506.8347 46.051915 1982-1999 –> 2000-2012 10.7002974 81866.6037
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 + aou + silicate + phosphate + phosphate_star 5525 4.8803203 33209.8508 41.154556 1982-1999 –> 2000-2012 9.4999894 78713.2617
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 5525 4.9245814 33307.6149 49.529819 1982-1999 –> 2000-2012 9.5559722 78848.1124
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5525 4.9304894 33320.8635 50.805047 1982-1999 –> 2000-2012 9.5666218 78877.1440
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 + 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 + 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 + nitrate + silicate + phosphate_star 2918 4.5715543 17164.7889 45.715284 2000-2012 –> 2013-2019 9.3270844 50088.4149
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 + aou + silicate + phosphate + phosphate_star 2918 4.8065118 17457.2797 38.739984 2000-2012 –> 2013-2019 9.6868321 50667.1305
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 2918 4.8483037 17505.8034 34.431113 2000-2012 –> 2013-2019 9.7728851 50813.4183
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2918 4.9958063 17680.7080 32.184396 2000-2012 –> 2013-2019 10.2589819 51723.0958
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2918 4.8517131 17509.9060 34.225344 2000-2012 –> 2013-2019 9.7822025 50830.7695
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate_star 2918 5.0016139 17685.4884 31.434569 2000-2012 –> 2013-2019 10.2825834 51763.1714
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 + 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 + 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 + nitrate + phosphate_star 4544 4.1123307 25757.6541 34.883768 1982-1999 –> 2000-2012 8.1714906 61232.8996
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4544 4.0218289 25557.4171 33.030413 1982-1999 –> 2000-2012 8.0127086 60821.3190
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 + aou + silicate + phosphate + phosphate_star 4544 3.9477481 25388.4579 23.151958 1982-1999 –> 2000-2012 7.8249401 60288.9073
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate_star 4544 4.1279653 25790.1399 36.509986 1982-1999 –> 2000-2012 8.2137297 61345.5422
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4544 4.0218809 25555.5345 32.963712 1982-1999 –> 2000-2012 8.0834114 61038.1226
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4544 4.2095240 25969.9463 32.334600 1982-1999 –> 2000-2012 8.3064308 61561.5980
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 + 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 + nitrate + phosphate_star 2447 4.4145039 14223.3635 32.302554 2000-2012 –> 2013-2019 8.5268346 39981.0176
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2447 4.3225383 14122.3318 31.664753 2000-2012 –> 2013-2019 8.3443672 39679.7489
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 + aou + silicate + phosphate + phosphate_star 2447 4.2923135 14087.9909 22.815590 2000-2012 –> 2013-2019 8.2400615 39476.4489
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 2447 4.5629428 14385.2194 23.337978 2000-2012 –> 2013-2019 8.7768665 40364.6594
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate_star 2447 4.4875150 14301.6430 39.084814 2000-2012 –> 2013-2019 8.6154803 40091.7829
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2447 4.3388127 14138.7232 34.446250 2000-2012 –> 2013-2019 8.3606936 39694.2577
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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 + 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 + 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 + nitrate + phosphate_star 5354 4.7842288 31967.4923 22.788491 1982-1999 –> 2000-2012 9.0763839 75293.6999
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5354 4.7202960 31825.4340 21.967294 1982-1999 –> 2000-2012 8.9654213 74987.6940
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 + phosphate + phosphate_star 5354 4.2057274 30587.4712 23.104196 1982-1999 –> 2000-2012 7.8859232 71596.7963
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 + aou + silicate + phosphate + phosphate_star 5354 4.1702723 30498.8181 21.453131 1982-1999 –> 2000-2012 7.8227361 71396.2141
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 + 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 + 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 + nitrate + phosphate_star 2868 5.1787419 17584.2399 20.706361 2000-2012 –> 2013-2019 9.9629707 49551.7322
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2868 5.1164605 17516.8386 19.185056 2000-2012 –> 2013-2019 9.8367565 49342.2726
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 + phosphate + phosphate_star 2868 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.7831284 47463.7121
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 + aou + silicate + phosphate + phosphate_star 2868 4.5537010 16848.4650 17.066955 2000-2012 –> 2013-2019 8.7239733 47347.2831
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 + phosphate_star 6466 4.3929768 37503.1646 41.945012 1982-1999 –> 2000-2012 7.9587117 85065.6810
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 6466 4.7348939 38470.4470 66.221051 1982-1999 –> 2000-2012 8.5052022 87016.9357
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6466 4.1535561 36778.4265 49.359080 1982-1999 –> 2000-2012 7.5202091 83325.5519
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 6466 4.3599345 37403.5276 46.003290 1982-1999 –> 2000-2012 7.9680032 85172.6402
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 + aou + silicate + phosphate + phosphate_star 6466 3.9500266 36128.6900 31.512269 1982-1999 –> 2000-2012 7.2528573 82337.5496
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + phosphate_star 6466 4.7823605 38597.4428 71.626560 1982-1999 –> 2000-2012 8.5941220 87335.1901
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 6466 4.6663213 38281.7913 72.764927 1982-1999 –> 2000-2012 8.1605463 85484.2572
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 + 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 ~ temp + aou + nitrate + silicate + phosphate_star 3470 4.9716940 20991.5322 35.708885 2000-2012 –> 2013-2019 9.1252501 57769.9588
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 3470 5.1322261 21210.0776 39.784583 2000-2012 –> 2013-2019 9.4921606 58613.6052
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 + aou + silicate + phosphate + phosphate_star 3470 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.4223646 56385.6280
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 3470 5.4066556 21571.5906 28.251741 2000-2012 –> 2013-2019 10.1528345 60072.8226
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3470 5.3226341 21462.8935 27.632792 2000-2012 –> 2013-2019 10.0108400 59805.1927
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate 5847 3.9594704 32695.3009 33.448037 1982-1999 –> 2000-2012 7.2237819 73775.0697
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5847 3.9594630 32697.2790 33.418727 1982-1999 –> 2000-2012 7.2210704 73765.9675
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 + 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 ~ temp + aou + nitrate + silicate + phosphate_star 5847 3.6356816 31701.6427 32.976030 1982-1999 –> 2000-2012 6.7191704 71885.9262
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 5847 3.9564842 32688.4779 34.034247 1982-1999 –> 2000-2012 7.2205262 73768.9438
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5847 3.3461863 30731.3292 33.390589 1982-1999 –> 2000-2012 6.2704796 70078.9213
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 ~ aou + silicate + phosphate 3127 4.6475693 18492.3392 32.264940 2000-2012 –> 2013-2019 8.6070397 51187.6401
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 3127 4.5032127 18297.0049 28.659822 2000-2012 –> 2013-2019 8.3493278 50654.6335
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 + 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 ~ temp + aou + nitrate + silicate + phosphate_star 3127 4.2454019 17930.3030 31.035584 2000-2012 –> 2013-2019 7.8810835 49631.9457
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 3127 4.6438859 18489.3806 33.023859 2000-2012 –> 2013-2019 8.6003700 51177.8584
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3127 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.1899105 48040.0175
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate_star 5836 3.5495470 31360.1736 12.541912 1982-1999 –> 2000-2012 6.1123821 69628.6264
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 + 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 + silicate + phosphate_star 5836 3.6584353 31710.8495 29.513815 1982-1999 –> 2000-2012 6.1698773 69648.9367
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5836 3.5460506 31350.6705 11.277029 1982-1999 –> 2000-2012 6.1013036 69573.0962
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5836 3.3691828 30753.4813 15.287781 1982-1999 –> 2000-2012 5.8121319 68247.3438
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3104 4.1912232 17716.7886 13.526046 2000-2012 –> 2013-2019 7.7407702 49076.9622
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 + 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 ~ temp + aou + nitrate + silicate 3104 4.1900456 17715.0442 13.143546 2000-2012 –> 2013-2019 7.7893911 49237.8323
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3104 4.1691362 17685.9871 12.013169 2000-2012 –> 2013-2019 7.7151868 49036.6576
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3104 4.0127640 17448.6640 19.751773 2000-2012 –> 2013-2019 7.3819468 48202.1453
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 + 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 + 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 + nitrate + silicate + phosphate_star 2317 2.7271269 11238.4154 21.453348 1982-1999 –> 2000-2012 4.6635446 24275.9866
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 2317 2.7408402 11259.6589 23.487260 1982-1999 –> 2000-2012 4.6879961 24329.8596
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 + aou + silicate + phosphate + phosphate_star 2317 2.6406178 11089.0349 20.968772 1982-1999 –> 2000-2012 4.5482001 24032.6569
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2317 2.7384695 11255.6490 20.449118 1982-1999 –> 2000-2012 4.6895219 24338.3683
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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 + 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 ~ temp + aou + nitrate + silicate + phosphate_star 1264 3.1885740 6532.4792 30.367720 2000-2012 –> 2013-2019 5.9157010 17770.8946
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 1264 3.1128492 6469.7178 31.766441 2000-2012 –> 2013-2019 5.8536894 17729.3767
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1264 3.0665742 6433.8549 28.861392 2000-2012 –> 2013-2019 5.7071919 17522.8898
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1264 3.2045095 6543.0819 27.185936 2000-2012 –> 2013-2019 5.9317465 17779.6843
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 + phosphate_star 2907 2.7487099 14140.4282 28.492785 1982-1999 –> 2000-2012 4.8701028 31563.9400
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2907 2.7457460 14136.1557 28.208152 1982-1999 –> 2000-2012 4.8664196 31558.9474
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 + aou + silicate + phosphate + phosphate_star 2907 2.7856872 14220.1201 34.100919 1982-1999 –> 2000-2012 4.9269749 31720.4944
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 2907 2.7945654 14236.6204 33.041333 1982-1999 –> 2000-2012 4.9422814 31759.0352
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + phosphate_star 2907 2.7674113 14177.8510 31.750508 1982-1999 –> 2000-2012 4.8898936 31603.4801
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2907 2.7621671 14168.8231 31.138313 1982-1999 –> 2000-2012 4.8840444 31594.1657
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2907 2.7948101 14237.1294 33.015412 1982-1999 –> 2000-2012 4.9429857 31761.2604
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 ~ 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 + phosphate_star 1542 3.3165597 8085.5004 32.079445 2000-2012 –> 2013-2019 6.0652696 22225.9286
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 + aou + nitrate + silicate + phosphate_star 1542 3.2946985 8067.1049 31.554855 2000-2012 –> 2013-2019 6.0404446 22203.2606
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1542 3.2669990 8039.0671 37.333823 2000-2012 –> 2013-2019 6.0608699 22274.2424
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1542 3.2637446 8037.9935 37.426960 2000-2012 –> 2013-2019 6.0494318 22258.1136
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + phosphate_star 1542 3.3221692 8088.7121 33.915337 2000-2012 –> 2013-2019 6.0895805 22266.5632
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 + nitrate + silicate + phosphate_star 1542 3.2965108 8066.8008 32.540164 2000-2012 –> 2013-2019 6.0586779 22235.6239
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 + 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 + 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 + phosphate_star 2467 2.2668883 11053.0683 8.062293 1982-1999 –> 2000-2012 4.2018862 25799.1794
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 + aou + silicate + phosphate + phosphate_star 2467 2.1886299 10879.7253 7.878228 1982-1999 –> 2000-2012 4.0642895 25405.1370
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 2467 2.2787563 11076.8322 8.277324 1982-1999 –> 2000-2012 4.2137568 25820.9529
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2467 2.2792684 11077.9408 8.417011 1982-1999 –> 2000-2012 4.2142805 25822.1041
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2467 2.2789172 11077.1806 8.289996 1982-1999 –> 2000-2012 4.2138321 25820.9878
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + silicate + phosphate_star 2467 2.2794555 11076.3459 8.377885 1982-1999 –> 2000-2012 4.2146823 25819.2952
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 ~ 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 + nitrate + silicate + phosphate_star 1354 2.5359986 6376.5164 7.886317 2000-2012 –> 2013-2019 4.8028869 17429.5848
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 1354 2.4648617 6297.4690 8.721893 2000-2012 –> 2013-2019 4.7165003 17315.2334
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 + aou + silicate + phosphate + phosphate_star 1354 2.4266912 6257.2052 8.523746 2000-2012 –> 2013-2019 4.6153211 17136.9304
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1718 1.8848420 7065.3607 9.810959 1982-1999 –> 2000-2012 3.5844089 17034.4465
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 + 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 + silicate + phosphate_star 1718 1.9721486 7218.9416 9.184943 1982-1999 –> 2000-2012 3.6245406 17042.2394
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1718 1.8612616 7024.1034 10.244079 1982-1999 –> 2000-2012 3.4707315 16716.9636
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1718 1.8032691 6915.3424 9.697645 1982-1999 –> 2000-2012 3.4298781 16662.3098
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 ~ temp + aou + nitrate + silicate + phosphate_star 966 2.0868098 4176.6389 10.548800 2000-2012 –> 2013-2019 3.9480714 11200.7423
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 + aou + silicate + phosphate + phosphate_star 966 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.8033978 11010.0164
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 966 2.1192706 4204.4603 10.033932 2000-2012 –> 2013-2019 4.0158023 11291.0651
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate_star 966 2.1337577 4217.6223 10.080373 2000-2012 –> 2013-2019 4.0401750 11322.0907
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 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_star 966 2.1380335 4219.4899 10.237607 2000-2012 –> 2013-2019 4.0453228 11323.5296
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 ~ 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 ~ temp + aou + nitrate + silicate + phosphate_star 14627 1.3692488 50717.0570 13.004762 1982-1999 –> 2000-2012 2.4951048 113260.4541
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 + aou + silicate + phosphate + phosphate_star 14627 1.3940533 51242.2624 17.034744 1982-1999 –> 2000-2012 2.6340769 117713.8450
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate_star 14627 1.6670006 56471.1807 18.226788 1982-1999 –> 2000-2012 3.0999839 128822.7887
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate_star 14627 1.5669226 54659.9964 17.476131 1982-1999 –> 2000-2012 2.8961915 123956.0907
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + silicate + phosphate + phosphate_star 14627 1.6697977 56520.2259 18.221976 1982-1999 –> 2000-2012 3.1051732 128939.6726
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 7804 1.8640423 31878.6342 16.201195 2000-2012 –> 2013-2019 3.4950579 87711.4034
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 + 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 ~ temp + aou + nitrate + silicate + phosphate_star 7804 1.5858456 29357.9189 10.996188 2000-2012 –> 2013-2019 2.9550945 80074.9759
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate 7804 1.8922532 32113.0803 16.180287 2000-2012 –> 2013-2019 3.5486923 88398.3296
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 7804 1.5521124 29022.3323 13.774789 2000-2012 –> 2013-2019 2.9461657 80264.5947
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate_star 7804 1.7947239 31287.1497 15.290224 2000-2012 –> 2013-2019 3.3616465 85947.1460

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 3.1503314 1392.6870
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 3.0954035 866.3195
Atlantic (26,26.5] 1982-1999 –> 2000-2012 8.4737330 14724.9990
Atlantic (26,26.5] 2000-2012 –> 2013-2019 8.4502443 9251.5654
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.5427952 17143.3808
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 6.8260619 10874.7078
Atlantic (26.75,27] 1982-1999 –> 2000-2012 4.0793190 23403.9139
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.8645144 16684.3783
Atlantic (27,27.25] 1982-1999 –> 2000-2012 4.2336203 20049.5017
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.6048548 14180.5115
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 5.0952149 22843.4545
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 6.0951310 15642.9371
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 5.4382537 31404.5157
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 6.1452909 21778.1076
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 3.9361194 9842.9168
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 4.2465678 6693.2739
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 6.3570579 11874.4689
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 7.1431418 8351.3911
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 9.1045850 16924.7965
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 8.7182331 10854.2520
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 2.0621006 5405.6895
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.2979832 3861.0473
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.5235817 5036.6954
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.8186287 3736.2809
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.1755783 6664.4288
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.4603923 4878.6272
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 0.9581848 8042.1604
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 1.1232903 6598.0954
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 14.7466970 85325.1913
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 14.1579047 54786.9375
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 9.6326412 79026.4246
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 9.7630794 50806.4202
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 8.0609315 60912.8110
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.4920062 39899.3234
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 8.4613488 73388.4100
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 9.3781929 48531.0852
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 8.0900465 85498.4188
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 9.6542841 58983.2737
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.8412196 72295.7110
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 8.0555606 49995.8697
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.8740169 68409.1480
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 7.5190688 48511.6049
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.6712338 24288.6538
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.8822890 17737.0319
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.9134000 31679.3178
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.0679945 22248.3327
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.1785242 25731.9302
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.7244804 17309.6182
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.5524168 16899.3185
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.9786390 11245.9338
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 2.8470333 122707.7255
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 3.1998562 83857.3006

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
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
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
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
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 phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 9 4 4 9 8 6 2
(26,26.5] 9 4 5 7 1 8 8
(26.5,26.75] 9 2 6 8 4 10 5
(26.75,27] 9 2 6 8 4 10 5
(27,27.25] 8 3 6 8 6 10 3
(27.25,27.5] 10 7 3 6 5 7 4
(27.5,27.75] 10 5 5 6 6 8 3
(27.75,27.85] 10 2 8 6 6 7 3
(27.85,27.95] 10 2 8 8 2 5 6
(27.95,28.05] 8 3 6 9 2 8 7
(28.05,28.1] 9 1 9 8 3 6 5
(28.1,28.15] 9 1 8 9 3 7 5
(28.15,28.2] 9 10 0 6 4 6 5
(28.2, Inf] 9 9 1 7 5 7 4
total 128.00 55.00 75.00 105.00 59.00 105.00 65.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 4 4 9 8 6 2
(26,26.5] 8 5 4 7 1 8 9
(26.5,26.75] 9 2 6 8 4 10 5
(26.75,27] 9 2 6 8 4 10 5
(27,27.25] 8 5 4 7 7 10 3
(27.25,27.5] 10 7 3 6 5 7 4
(27.5,27.75] 7 3 5 7 10 8 0
(27.75,27.85] 7 3 5 7 10 8 0
(27.85,27.95] 10 2 8 8 3 6 5
(27.95,28.05] 9 2 7 9 2 7 7
(28.05,28.1] 10 1 9 7 4 6 4
(28.1,28.15] 9 1 9 8 3 5 5
(28.15,28.2] 8 10 0 7 4 6 5
(28.2, Inf] 9 8 2 7 6 8 3
total 121.00 55.00 72.00 105.00 71.00 105.00 57.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 9 2 7 9 2 7 7
(26,26.5] 9 2 7 9 2 7 7
(26.5,26.75] 7 4 6 9 2 7 7
(26.75,27] 10 2 8 8 2 5 6
(27,27.25] 8 4 6 9 2 6 7
(27.25,27.5] 9 2 7 7 5 10 3
(27.5,27.75] 7 4 4 9 7 10 2
(27.75,27.85] 9 1 8 9 2 7 6
(27.85,27.95] 7 4 5 9 1 8 8
(27.95,28.05] 7 3 5 9 2 10 7
(28.05,28.1] 7 3 5 9 7 10 2
(28.1, Inf] 8 3 6 8 3 10 6
total 97.00 34.00 74.00 104.00 37.00 97.00 68.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 8 3 6 9 2 7 8
(26,26.5] 7 2 6 9 2 9 7
(26.5,26.75] 7 4 5 9 1 8 8
(26.75,27] 10 2 8 8 2 5 6
(27,27.25] 9 1 8 8 3 8 6
(27.25,27.5] 9 3 6 7 5 10 3
(27.5,27.75] 8 5 4 9 6 9 3
(27.75,27.85] 7 4 5 10 5 9 4
(27.85,27.95] 7 7 3 7 1 6 9
(27.95,28.05] 10 4 6 8 4 7 5
(28.05,28.1] 7 3 5 9 2 10 7
(28.1, Inf] 8 3 6 8 5 10 4
total 97.00 41.00 68.00 101.00 38.00 98.00 70.00

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
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
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