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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 predictor combinations with nitrate and phosphate
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")
  )) %>%
  select(-lm_coeff_filter)

# remove helper objects
rm(i_gamma_slab,
   i_era,
   i_basin,
   GLODAP_basin_era,
   GLODAP_basin_era_slab,
   lm_full)

3 Apply predictor threshold

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

  • Minimum: 2
  • Maximum: 6
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:

  • 88

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$basin)[2]
    #i_era   <- unique(GLODAP$era)[3]
    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)[12]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        #i_predictors <- unique(lm_all$predictors)[78]
        
        # 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 (nrow(GLODAP_basin_era_slab) > 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,
              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_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,
    n_predictors,
    term,
    estimate,
    rmse,
    aic,
    resid_max,
    na_predictor,
    cor_max
  )

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(na_predictor == FALSE)
# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide  %>%
  select(basin, gamma_slab, model, era, 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 rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7979281 138.092977 2.2534412 1982-1999 –> 2000-2012 2.6461047 363.539335
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.6913464 125.181725 2.5987139 1982-1999 –> 2000-2012 2.5241349 351.758542
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7466441 131.184273 2.2039734 1982-1999 –> 2000-2012 2.3061402 338.967611
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6815927 121.704010 2.0899917 1982-1999 –> 2000-2012 2.5382918 347.628843
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.6517483 119.047539 2.0502817 1982-1999 –> 2000-2012 1.9647609 310.938864
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.6822290 121.801051 2.0880027 1982-1999 –> 2000-2012 2.5185235 346.576630
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7349890 129.548031 3.1103519 1982-1999 –> 2000-2012 2.5687607 354.180627
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.6805627 121.546739 2.0884714 1982-1999 –> 2000-2012 2.5082378 345.832995
Atlantic (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.7607349 131.128696 2.2092104 1982-1999 –> 2000-2012 2.4321007 344.116982
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.6836078 122.011026 2.0224842 1982-1999 –> 2000-2012 2.0619043 316.948862
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9553875 2154.217105 14.8066485 1982-1999 –> 2000-2012 7.0655625 3879.140851
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.2938428 2217.108394 15.2234031 1982-1999 –> 2000-2012 7.5474182 3972.232738
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 3.9595855 2157.029665 19.3366434 1982-1999 –> 2000-2012 7.1719249 3905.608117
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0154212 2165.755887 15.6738681 1982-1999 –> 2000-2012 7.2081673 3908.235233
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3.6120002 2086.651371 13.6814695 1982-1999 –> 2000-2012 6.6258147 3792.488568
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.0304061 2168.609144 15.8414030 1982-1999 –> 2000-2012 7.2390294 3914.412091
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.9556801 2154.273760 17.4476745 1982-1999 –> 2000-2012 7.1907190 3905.570017
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.0382905 2170.106146 15.9162570 1982-1999 –> 2000-2012 7.2529891 3917.176481
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.2658714 2212.102116 16.4983797 1982-1999 –> 2000-2012 7.9948721 4058.604928
Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.2058940 2199.255870 17.2460515 1982-1999 –> 2000-2012 7.9850995 4052.718922
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4979027 143.885827 1.4003853 2000-2012 –> 2013-2019 4.4532902 2298.102932
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.4815184 137.862994 1.2506255 2000-2012 –> 2013-2019 4.7753612 2354.971389
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.2507767 20.434341 0.6809648 2000-2012 –> 2013-2019 4.8241151 2285.847731
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2496194 21.601696 0.7201058 2000-2012 –> 2013-2019 4.2092049 2178.631361
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4872077 139.977266 1.7021575 2000-2012 –> 2013-2019 4.5026289 2305.733153
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.5256102 155.633770 2.3747099 2000-2012 –> 2013-2019 4.1376104 2242.285141
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.4874714 140.074679 1.6188108 2000-2012 –> 2013-2019 4.5178775 2308.683823
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.6924025 203.243132 2.0473883 2000-2012 –> 2013-2019 4.6480826 2357.516892
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4876285 140.132681 1.5458324 2000-2012 –> 2013-2019 4.5259190 2310.238828
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.2536275 22.468962 0.7440633 2000-2012 –> 2013-2019 4.4721209 2226.016063
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.1320016 3184.549129 15.2504443 1982-1999 –> 2000-2012 6.8695850 4977.243481
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.1341621 3187.133544 16.3392320 1982-1999 –> 2000-2012 6.8717539 4981.830138
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4.1337667 3189.026619 16.2787487 1982-1999 –> 2000-2012 6.9169383 4997.843402
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1636408 3195.077163 16.6703678 1982-1999 –> 2000-2012 6.9615900 5005.780907
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4.0577251 3168.269219 24.2160641 1982-1999 –> 2000-2012 6.6736296 4931.591801
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.1854201 3200.910005 16.8989837 1982-1999 –> 2000-2012 7.0204125 5021.267707
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1918523 3202.626841 16.9657870 1982-1999 –> 2000-2012 7.0397104 5026.308028
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.0681413 3169.135463 14.2339936 1982-1999 –> 2000-2012 6.8523181 4976.217310
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4.1926903 3200.850323 15.6814309 1982-1999 –> 2000-2012 7.0034305 5012.901925
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0552795 3165.595193 25.0686593 1982-1999 –> 2000-2012 6.7028146 4935.739811
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.0607683 266.204296 6.5437369 2000-2012 –> 2013-2019 5.1927699 3450.753425
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.9544156 250.032579 5.4348110 2000-2012 –> 2013-2019 5.0885777 3437.166123
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.6211438 178.152301 2.3197844 2000-2012 –> 2013-2019 4.7549106 3367.178919
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9447581 248.283297 5.8875072 2000-2012 –> 2013-2019 5.1083989 3443.360460
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.0207644 263.592324 7.3189249 2000-2012 –> 2013-2019 5.0784894 3431.861543
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.9503246 249.293739 6.0356136 2000-2012 –> 2013-2019 5.1357447 3450.203744
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9542418 250.001262 6.1545063 2000-2012 –> 2013-2019 5.1460941 3452.628102
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7104426 199.256273 2.7934763 2000-2012 –> 2013-2019 4.7785839 3368.391737
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 1.0499778 264.445693 6.9752308 2000-2012 –> 2013-2019 5.2426681 3465.296016
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0567496 267.551442 7.7727458 2000-2012 –> 2013-2019 5.1120290 3433.146635
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.7389523 4573.846330 15.1284109 1982-1999 –> 2000-2012 4.4610847 7506.049077
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6647335 4524.200078 14.5409472 1982-1999 –> 2000-2012 4.3902337 7461.309891
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2.5472174 4441.407371 8.9574793 1982-1999 –> 2000-2012 4.4636670 7536.693663
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7263318 4567.163702 14.4942300 1982-1999 –> 2000-2012 4.5988519 7625.944557
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2.5603132 4451.048059 13.5667489 1982-1999 –> 2000-2012 4.1586217 7276.220065
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7768407 4601.674436 14.5966772 1982-1999 –> 2000-2012 4.7260357 7720.170686
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7949014 4613.862470 14.5940626 1982-1999 –> 2000-2012 4.7766678 7757.018019
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5501466 4441.568067 8.9192162 1982-1999 –> 2000-2012 4.4686429 7536.442631
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.8672846 4659.931479 15.6368458 1982-1999 –> 2000-2012 4.7508680 7725.477918
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.6537751 4516.452820 14.1503419 1982-1999 –> 2000-2012 4.2503681 7338.026905
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.4077842 591.593413 5.4640307 2000-2012 –> 2013-2019 4.3738808 5317.221854
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 1.4419795 597.465347 4.4374544 2000-2012 –> 2013-2019 4.2325685 5206.424864
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4433128 599.768487 4.4544027 2000-2012 –> 2013-2019 4.1080463 5123.968565
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 1.5323111 617.394742 4.8625293 2000-2012 –> 2013-2019 4.5454655 5370.615655
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.2230132 547.444032 5.0728193 2000-2012 –> 2013-2019 3.7702306 4988.851403
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4536233 602.103278 4.5421009 2000-2012 –> 2013-2019 4.1799551 5169.266980
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.7358878 662.310058 9.9553763 2000-2012 –> 2013-2019 4.2962009 5113.358117
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4753883 606.978000 4.6533013 2000-2012 –> 2013-2019 4.2522290 5208.652436
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4925739 610.776510 4.7278731 2000-2012 –> 2013-2019 4.2874752 5224.638981
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4606298 603.680439 6.9254400 2000-2012 –> 2013-2019 4.0107764 5045.248506
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2237676 5075.798693 9.0934811 1982-1999 –> 2000-2012 4.1405708 8922.692969
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.2494410 5099.993462 11.1707233 1982-1999 –> 2000-2012 3.7534181 8495.692870
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2390133 5091.390274 11.7887812 1982-1999 –> 2000-2012 3.6426872 8361.264694
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.4750193 5320.076129 11.7782909 1982-1999 –> 2000-2012 4.1222468 8886.271570
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.9702101 4801.533598 9.7370479 1982-1999 –> 2000-2012 3.3493247 8040.717819
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2471192 5099.636825 11.4553783 1982-1999 –> 2000-2012 3.6832485 8411.845150
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2.1272633 4976.554223 11.7600714 1982-1999 –> 2000-2012 3.6023063 8340.276962
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2819557 5134.742657 11.5158446 1982-1999 –> 2000-2012 3.7678732 8510.068849
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2909626 5143.732046 11.4885835 1982-1999 –> 2000-2012 3.7899304 8535.252683
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0671182 4909.104447 9.4141951 1982-1999 –> 2000-2012 3.7965165 8565.455219
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.2951378 1010.468039 5.1525362 2000-2012 –> 2013-2019 3.5189054 6086.266732
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6199670 1143.398532 7.5208904 2000-2012 –> 2013-2019 3.8589804 6234.788806
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1407931 935.093401 4.2667828 2000-2012 –> 2013-2019 3.6158125 6255.169529
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.3658171 1042.030675 4.7960563 2000-2012 –> 2013-2019 3.3704853 5881.130526
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.1413865 937.402285 4.2650974 2000-2012 –> 2013-2019 3.1115966 5738.935883
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6102478 1139.823993 7.2778253 2000-2012 –> 2013-2019 3.8573669 6239.460818
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.6133005 1142.949038 7.1895261 2000-2012 –> 2013-2019 3.7405638 6119.503261
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6192585 1143.138662 7.6311111 2000-2012 –> 2013-2019 3.9012141 6277.881318
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 1.3498271 1033.035539 4.1488012 2000-2012 –> 2013-2019 3.4205527 5944.118948
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.3771333 1046.931869 7.3989710 2000-2012 –> 2013-2019 3.4442514 5956.036316
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.5314606 10911.523216 21.0024399 1982-1999 –> 2000-2012 4.8446039 15094.422559
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5336456 10916.038201 22.1694923 1982-1999 –> 2000-2012 4.8549165 15116.153695
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.0834689 10361.944637 16.2098476 1982-1999 –> 2000-2012 4.1790001 14100.043428
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 3.0892110 10371.509352 16.5047263 1982-1999 –> 2000-2012 4.1868987 14116.457435
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 3.5380842 10919.142271 19.7757359 1982-1999 –> 2000-2012 4.7965773 14997.215301
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.4750973 10848.105044 22.4560962 1982-1999 –> 2000-2012 4.7423009 14945.187424
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5249620 10906.034085 20.9117721 1982-1999 –> 2000-2012 4.7712748 14962.123604
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3.4906823 10868.299381 23.7013740 1982-1999 –> 2000-2012 4.7494482 14950.906782
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.4647569 10835.988335 22.8335276 1982-1999 –> 2000-2012 4.7761230 15017.547981
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4660721 10837.531540 22.8532501 1982-1999 –> 2000-2012 4.8061765 15072.549369
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2.8008082 2024.951869 22.2858115 2000-2012 –> 2013-2019 6.0934036 12651.711014
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7367380 2007.929693 21.7349776 2000-2012 –> 2013-2019 6.0356968 12644.539436
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.5883050 1962.092118 25.1532044 2000-2012 –> 2013-2019 5.8312826 12529.112318
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2.5365734 1947.496691 25.8078620 2000-2012 –> 2013-2019 5.6257844 12319.006043
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8905147 2052.866709 17.1435234 2000-2012 –> 2013-2019 6.3552716 12888.855044
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.9091833 2058.158570 15.8475858 2000-2012 –> 2013-2019 6.3490296 12864.807984
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8836983 2050.925984 16.7616740 2000-2012 –> 2013-2019 6.3497705 12888.457524
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 2.9398170 2064.768984 12.4493679 2000-2012 –> 2013-2019 6.4146706 12910.588905
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.7334493 2004.941333 24.1045883 2000-2012 –> 2013-2019 6.2967309 12952.938001
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5390746 1946.306808 25.8435264 2000-2012 –> 2013-2019 6.0796823 12870.348150
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.2530635 15976.214867 20.1173975 1982-1999 –> 2000-2012 3.2621757 23213.086965
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2.2932342 16104.642440 18.2996715 1982-1999 –> 2000-2012 3.2054838 22833.098442
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.2879713 16086.205510 21.3217837 1982-1999 –> 2000-2012 3.2703131 23187.083415
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 2.2858714 16077.636371 21.5506035 1982-1999 –> 2000-2012 3.3629261 23642.084180
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2.3256084 16204.931136 19.2331670 1982-1999 –> 2000-2012 3.2279179 22877.971902
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3252830 16201.930096 19.3406308 1982-1999 –> 2000-2012 3.2567891 23034.043569
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 2.2833095 16069.614117 21.5130366 1982-1999 –> 2000-2012 3.3453992 23563.291034
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3231087 16195.237480 19.3113015 1982-1999 –> 2000-2012 3.2433734 22965.939786
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 2.2858429 16077.547246 21.5458616 1982-1999 –> 2000-2012 3.3548654 23604.133115
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3252546 16201.842875 19.3363869 1982-1999 –> 2000-2012 3.2508990 23002.026895
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 1.9081360 3171.550026 10.9322477 2000-2012 –> 2013-2019 4.2403058 19392.636884
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.8349492 3113.711635 9.2543659 2000-2012 –> 2013-2019 4.0880126 19089.926502
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.8202552 3103.410330 9.7297624 2000-2012 –> 2013-2019 4.1134894 19208.052770
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 1.9026509 3167.145574 10.5521174 2000-2012 –> 2013-2019 4.2402419 19404.842885
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.9218120 3184.476728 10.7779219 2000-2012 –> 2013-2019 4.2097833 19270.682238
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 1.9312436 3189.967093 9.5572705 2000-2012 –> 2013-2019 4.2171149 19267.603464
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.9175786 3179.102758 9.2911675 2000-2012 –> 2013-2019 4.2008881 19248.716874
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.9176086 3181.126619 9.3241169 2000-2012 –> 2013-2019 4.2407172 19376.364099
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.9280269 3187.416558 9.4866551 2000-2012 –> 2013-2019 4.2138697 19264.963803
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate_star 1.9097182 3170.818184 9.1659322 2000-2012 –> 2013-2019 4.2028602 19269.172958
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.0501004 4186.492286 9.8973669 1982-1999 –> 2000-2012 1.5039189 5295.260086
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0858181 4283.618203 10.9229800 1982-1999 –> 2000-2012 1.5174997 5307.170313
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 1.0359430 4147.888765 10.4531937 1982-1999 –> 2000-2012 1.5822924 5580.275556
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0487258 4184.767066 10.5319516 1982-1999 –> 2000-2012 1.5335791 5410.898892
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.0348171 4146.796314 10.4290120 1982-1999 –> 2000-2012 1.5801948 5578.078400
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.0906102 4298.142150 11.3192908 1982-1999 –> 2000-2012 1.5583682 5463.672445
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate 1.0663874 4230.263982 10.1113740 1982-1999 –> 2000-2012 1.5345160 5393.175363
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.9225538 3820.207418 7.9283269 1982-1999 –> 2000-2012 1.3397164 4784.093275
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1068128 4338.083278 11.2194906 1982-1999 –> 2000-2012 1.5518956 5414.952780
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.9599311 3935.159289 8.8586847 1982-1999 –> 2000-2012 1.3660461 4854.236893
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.3016615 129.740939 0.9391056 2000-2012 –> 2013-2019 1.3363311 4274.131881
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 0.3071932 139.444576 1.1774621 2000-2012 –> 2013-2019 1.3299277 4250.838503
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.2863867 103.993010 1.0218321 2000-2012 –> 2013-2019 1.3089650 4216.952644
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.3062904 137.872904 1.1892982 2000-2012 –> 2013-2019 1.3563908 4324.365190
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 0.2898659 108.441260 0.8603087 2000-2012 –> 2013-2019 1.3258088 4256.330025
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.2804061 92.723449 0.9201022 2000-2012 –> 2013-2019 1.3291319 4277.490515
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.2738625 80.114170 0.8499608 2000-2012 –> 2013-2019 1.3086796 4226.910484
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2582055 50.677365 0.8769032 2000-2012 –> 2013-2019 1.3488156 4348.819514
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.2819158 95.590691 0.9576964 2000-2012 –> 2013-2019 1.2044695 3915.798109
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.2747440 83.830371 0.9521860 2000-2012 –> 2013-2019 1.2346751 4018.989660
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.7799195 3043.268722 7.1609933 1982-1999 –> 2000-2012 1.3834656 4718.758822
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7731707 3022.759282 7.0436432 1982-1999 –> 2000-2012 1.3558270 4636.140052
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.7819193 3053.901078 6.8505841 1982-1999 –> 2000-2012 1.3534006 4634.036414
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 0.7866933 3065.666340 7.1787403 1982-1999 –> 2000-2012 1.3947223 4754.624879
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7664980 3000.309849 7.0757135 1982-1999 –> 2000-2012 1.3625699 4655.120890
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7790098 3042.245819 7.0376207 1982-1999 –> 2000-2012 1.3629180 4659.532947
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.7646839 2996.172629 7.0450280 1982-1999 –> 2000-2012 1.3469690 4610.393659
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.7912933 3082.766569 7.0319008 1982-1999 –> 2000-2012 1.3779487 4708.596622
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7892492 3076.067171 6.9965437 1982-1999 –> 2000-2012 1.3713595 4687.741797
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7919261 3084.836803 7.0336668 1982-1999 –> 2000-2012 1.3788296 4711.436434
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.2452801 17.949787 1.0035752 2000-2012 –> 2013-2019 1.0251996 3061.218509
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.2423826 14.744965 1.0020084 2000-2012 –> 2013-2019 1.0155533 3037.504246
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.2514750 30.874744 0.7908146 2000-2012 –> 2013-2019 1.0516008 3142.391023
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.1905917 -88.543345 0.7688667 2000-2012 –> 2013-2019 0.9725110 2965.357732
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 0.2577255 39.628248 1.0306049 2000-2012 –> 2013-2019 1.0444188 3105.294588
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.2271211 -13.740015 0.9532623 2000-2012 –> 2013-2019 0.9936191 2986.569834
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.2548687 36.746091 1.0324724 2000-2012 –> 2013-2019 1.0338785 3078.991910
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.2247995 -16.240190 0.9496863 2000-2012 –> 2013-2019 0.9894834 2979.932439
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.2728144 66.548991 1.0638952 2000-2012 –> 2013-2019 1.0641077 3149.315559
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.2751043 70.210168 1.0697037 2000-2012 –> 2013-2019 1.0670304 3155.046971
Atlantic (27.95,28.05] cstar_tref ~ aou + phosphate + phosphate_star 4.8098844 8805.437301 22.0564952 1982-1999 –> 2000-2012 9.0168705 15429.203814
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.0919446 6359.989928 9.7783459 1982-1999 –> 2000-2012 3.8467969 10962.734453
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.3099573 4984.841076 5.4165245 1982-1999 –> 2000-2012 2.5560924 8796.731239
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 2.1642786 6457.997373 10.4663285 1982-1999 –> 2000-2012 4.1632063 11360.345835
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.3037725 4968.917887 5.4033884 1982-1999 –> 2000-2012 2.5556092 8789.380522
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate 4.7681664 8779.808869 21.8946131 1982-1999 –> 2000-2012 8.9564354 15393.248409
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate_star 4.7420406 8763.644670 21.7881451 1982-1999 –> 2000-2012 8.9151248 15368.672199
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + phosphate_star 4.4730755 8591.857387 20.5344305 1982-1999 –> 2000-2012 8.4573762 15089.668972
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.5154208 8621.577415 20.8522561 1982-1999 –> 2000-2012 8.6484775 15206.283036
Atlantic (27.95,28.05] cstar_tref ~ temp + phosphate + phosphate_star 4.7374291 8760.782307 21.7700284 1982-1999 –> 2000-2012 8.9098069 15365.417701
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.2415881 13.215151 1.9019901 2000-2012 –> 2013-2019 2.3335328 6373.205078
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2384076 8.641924 1.8560691 2000-2012 –> 2013-2019 1.5483649 4993.483001
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 0.2428076 13.712500 1.8801262 2000-2012 –> 2013-2019 5.1061876 8853.690104
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.2384368 6.702578 1.8565963 2000-2012 –> 2013-2019 5.0993222 8847.170762
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.4003197 261.709523 2.4485897 2000-2012 –> 2013-2019 2.5645982 6719.706896
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.3838075 242.816943 2.6540937 2000-2012 –> 2013-2019 1.6875800 5211.734830
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate_star 0.4166557 279.548009 2.3764460 2000-2012 –> 2013-2019 5.1586963 9043.192679
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + phosphate_star 0.4005771 260.028351 2.4395825 2000-2012 –> 2013-2019 4.8736526 8851.885738
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 0.3989538 260.014316 2.4520100 2000-2012 –> 2013-2019 4.9143746 8881.591731
Atlantic (27.95,28.05] cstar_tref ~ temp + phosphate + phosphate_star 0.4240864 288.315739 2.3913940 2000-2012 –> 2013-2019 5.1615155 9049.098046
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 0.3528504 632.162066 3.8929315 1982-1999 –> 2000-2012 0.5763440 542.327419
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3432684 588.900207 2.8323930 1982-1999 –> 2000-2012 0.5598518 460.801876
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3278235 513.214884 1.7944468 1982-1999 –> 2000-2012 0.5489908 411.966478
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.3449059 598.723623 3.3264059 1982-1999 –> 2000-2012 0.5574123 448.263271
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.3450125 597.231651 3.0196639 1982-1999 –> 2000-2012 0.5611220 466.325605
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.3364451 557.892506 2.1686618 1982-1999 –> 2000-2012 0.5535682 434.984639
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.3488012 615.186802 3.2344071 1982-1999 –> 2000-2012 0.5644587 481.596022
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.3467991 605.722939 3.3463238 1982-1999 –> 2000-2012 0.5594152 453.923699
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.3486678 614.558070 3.2341056 1982-1999 –> 2000-2012 0.5642830 480.715716
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.3365447 556.379126 2.0757799 1982-1999 –> 2000-2012 0.5642416 492.431537
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.2096859 -37.262832 1.4310102 2000-2012 –> 2013-2019 0.5695832 627.408313
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 0.2110658 -35.006486 1.4243741 2000-2012 –> 2013-2019 0.5639162 597.155581
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.2236377 -13.103521 1.3601031 2000-2012 –> 2013-2019 0.5669062 575.796686
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.2065542 -40.439319 1.2435682 2000-2012 –> 2013-2019 0.5343777 472.775565
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2097817 -33.105719 1.4164433 2000-2012 –> 2013-2019 0.5546876 565.617904
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.2237705 -12.899353 1.3606740 2000-2012 –> 2013-2019 0.5687830 584.332298
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.2233183 -11.595215 1.3972237 2000-2012 –> 2013-2019 0.5597634 546.297291
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.2217470 -16.024141 1.4048424 2000-2012 –> 2013-2019 0.5685461 589.698798
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.2238953 -12.707536 1.3681693 2000-2012 –> 2013-2019 0.5725631 601.850534
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2333535 1.525739 1.2598325 2000-2012 –> 2013-2019 0.5698982 557.904865
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate 0.3089251 584.108970 4.1053890 1982-1999 –> 2000-2012 0.5476535 575.684254
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.2415411 9.837781 1.9729580 1982-1999 –> 2000-2012 0.5196659 234.667271
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.2416266 10.666935 1.8461259 1982-1999 –> 2000-2012 0.4675456 -79.254445
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2295340 -107.577134 2.1131426 1982-1999 –> 2000-2012 0.4498000 -233.864249
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.2415160 9.594353 1.9200629 1982-1999 –> 2000-2012 0.5195079 233.700113
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.2426837 22.891019 2.1944449 1982-1999 –> 2000-2012 0.5209394 250.432770
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.2416634 11.023990 1.8744088 1982-1999 –> 2000-2012 0.5195713 234.672167
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.2357574 -46.923863 1.6206492 1982-1999 –> 2000-2012 0.4893582 38.150814
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.2416178 10.581388 1.8705466 1982-1999 –> 2000-2012 0.5195094 234.140650
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2409580 4.177564 1.9642768 1982-1999 –> 2000-2012 0.5216891 243.128436
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.2448108 17.881180 1.7054104 2000-2012 –> 2013-2019 0.4910777 71.098155
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.2218022 -29.863515 1.3212556 2000-2012 –> 2013-2019 0.4633433 -20.025735
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2041266 -69.718504 0.8555303 2000-2012 –> 2013-2019 0.4336606 -177.295638
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.2211705 -31.301028 1.3057018 2000-2012 –> 2013-2019 0.4626864 -21.706675
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.2229743 -25.207206 1.3479314 2000-2012 –> 2013-2019 0.4656580 -2.316187
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.2202484 -33.406569 1.2831275 2000-2012 –> 2013-2019 0.4619119 -22.382579
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.2067022 -65.398901 0.8509628 2000-2012 –> 2013-2019 0.4424596 -112.322763
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.2202461 -33.411907 1.2828890 2000-2012 –> 2013-2019 0.4618639 -22.830519
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 0.2454050 19.102858 1.7056133 2000-2012 –> 2013-2019 0.4899566 55.951128
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2256795 -21.129216 1.4158810 2000-2012 –> 2013-2019 0.4666375 -16.951652
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 0.2958212 1019.515627 5.6748254 1982-1999 –> 2000-2012 0.5956278 1619.754615
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.3082102 1227.633769 9.3888906 1982-1999 –> 2000-2012 0.6402325 2110.959308
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 0.2988633 1072.915267 6.2915299 1982-1999 –> 2000-2012 0.6045771 1728.890388
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.3211536 1436.308496 12.2710241 1982-1999 –> 2000-2012 0.6990432 2678.001230
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.3149774 1336.748630 10.9512216 1982-1999 –> 2000-2012 0.6555442 2290.051276
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3110424 1275.589065 10.7501448 1982-1999 –> 2000-2012 0.6497325 2215.673666
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.3084469 1233.490284 11.5149805 1982-1999 –> 2000-2012 0.6741735 2385.083348
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.3225803 1460.577205 12.8777427 1982-1999 –> 2000-2012 0.7054317 2740.195945
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.3686426 2127.158919 12.5545136 1982-1999 –> 2000-2012 0.7890984 3660.805855
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.3823281 2312.290451 15.4401582 1982-1999 –> 2000-2012 0.8268811 4001.418405
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.2478078 30.973855 0.8893709 2000-2012 –> 2013-2019 0.6298855 2337.974625
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 0.2848006 139.726102 0.8965974 2000-2012 –> 2013-2019 0.5806218 1159.241729
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.2716128 103.986294 0.8673122 2000-2012 –> 2013-2019 0.5798230 1331.620063
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 0.2848410 141.838938 0.9197193 2000-2012 –> 2013-2019 0.5837042 1214.754205
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.2252902 -42.856156 0.7156688 2000-2012 –> 2013-2019 0.5464438 1393.452340
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.2731685 108.532432 0.7545519 2000-2012 –> 2013-2019 0.5881458 1445.281062
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.2757936 118.145350 1.0519594 2000-2012 –> 2013-2019 0.5868360 1393.734415
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.2536803 51.617468 0.6164739 2000-2012 –> 2013-2019 0.5621272 1285.107751
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2260416 -38.205798 0.7327406 2000-2012 –> 2013-2019 0.5486219 1422.371407
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.2314271 -21.463346 0.7880039 2000-2012 –> 2013-2019 0.6137551 2290.827105
Atlantic (28.2, Inf] cstar_tref ~ aou + silicate + phosphate 0.6417340 4008.964214 8.0483384 1982-1999 –> 2000-2012 1.2197492 6920.414423
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.4800199 2818.544581 7.9996436 1982-1999 –> 2000-2012 0.9503354 5042.948098
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.4081510 2155.564378 6.8509744 1982-1999 –> 2000-2012 0.7530132 3348.185704
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.3965201 2037.031306 6.2924614 1982-1999 –> 2000-2012 0.7570645 3377.827462
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.4263564 2336.480916 7.4091430 1982-1999 –> 2000-2012 0.8108786 3893.812882
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.4955794 2951.334178 8.7519746 1982-1999 –> 2000-2012 0.9556875 5104.626864
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.2344751 -115.015696 1.2729121 1982-1999 –> 2000-2012 0.5242174 499.328219
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.3716569 1773.532697 5.5308818 1982-1999 –> 2000-2012 0.7436654 3220.625783
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2249127 -283.728377 1.2242803 1982-1999 –> 2000-2012 0.5806575 1016.413767
Atlantic (28.2, Inf] cstar_tref ~ temp + silicate + phosphate_star 0.6576069 4109.141375 6.8058151 1982-1999 –> 2000-2012 1.2313571 6995.914593
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.1665702 -309.630334 0.4252080 2000-2012 –> 2013-2019 0.6465901 2508.914246
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.1670200 -305.322118 0.5798953 2000-2012 –> 2013-2019 0.5751710 1850.242260
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.1661224 -309.934746 0.4118632 2000-2012 –> 2013-2019 0.5626425 1727.096560
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.1595446 -342.518062 0.4342216 2000-2012 –> 2013-2019 0.5859010 1993.962854
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.1601945 -341.038471 0.4125034 2000-2012 –> 2013-2019 0.6557739 2610.295707
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.1206978 -581.371190 0.5769015 2000-2012 –> 2013-2019 0.3551729 -696.386886
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.1587977 -346.534920 0.3888327 2000-2012 –> 2013-2019 0.5304546 1426.997777
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.0856404 -873.092167 0.2634641 2000-2012 –> 2013-2019 0.3105531 -1156.820544
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.1707699 -286.315850 0.4457298 2000-2012 –> 2013-2019 0.8118487 3720.460158
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.1487931 -402.238309 0.5904265 2000-2012 –> 2013-2019 0.8155873 3767.787001
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.8941802 16723.659464 24.9529594 1982-1999 –> 2000-2012 11.2020078 23560.407274
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.6525091 16506.533264 22.7144925 1982-1999 –> 2000-2012 10.8521795 23299.782912
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 6.4989572 17238.897113 99.5520387 1982-1999 –> 2000-2012 11.4681209 23933.937223
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.2913943 17065.006650 24.3761493 1982-1999 –> 2000-2012 11.4912505 23856.335222
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.8354380 16673.235101 26.8254655 1982-1999 –> 2000-2012 10.8883586 23403.215031
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 6.4534228 17198.096483 27.9596381 1982-1999 –> 2000-2012 11.9045971 24093.737238
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.0445131 16857.480308 21.7497287 1982-1999 –> 2000-2012 11.0389966 23561.752598
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 5.6194379 16477.820658 24.8723400 1982-1999 –> 2000-2012 10.4946394 23130.671624
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.1903526 16982.264700 26.1285783 1982-1999 –> 2000-2012 11.4061284 23782.348954
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.2244774 17011.038286 26.8547293 1982-1999 –> 2000-2012 11.4804398 23828.084933
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.8077317 13601.677946 24.5696113 2000-2012 –> 2013-2019 11.7019119 30325.337411
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.3969331 13289.993900 23.7650463 2000-2012 –> 2013-2019 11.0494422 29796.527164
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 4.2615441 12278.005743 17.3640446 2000-2012 –> 2013-2019 11.4650193 30051.595732
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.2583031 12276.752528 17.7782856 2000-2012 –> 2013-2019 11.0189933 29720.304973
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.9088816 11910.643674 15.3313787 2000-2012 –> 2013-2019 10.7180481 29391.591686
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 3.8855892 11887.087493 14.3063680 2000-2012 –> 2013-2019 10.3845464 29125.984606
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.5904273 13440.615466 25.5381701 2000-2012 –> 2013-2019 11.4258654 30113.850567
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.8542426 13637.785657 33.5318986 2000-2012 –> 2013-2019 11.8987557 30495.265965
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 5.2258456 13154.245853 24.3603038 2000-2012 –> 2013-2019 10.8452835 29632.066511
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.9852035 13732.386656 36.2146769 2000-2012 –> 2013-2019 12.1755561 30714.651355
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.2912614 16010.785131 49.6591707 1982-1999 –> 2000-2012 9.5337357 24695.235098
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.6654770 15360.040981 51.1622192 1982-1999 –> 2000-2012 8.5502831 23779.804139
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.3833928 16102.306579 63.4197389 1982-1999 –> 2000-2012 8.9164430 24234.677708
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4.8626625 15576.720886 63.0102537 1982-1999 –> 2000-2012 8.1567849 23499.066023
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.2526531 15974.806100 48.2886816 1982-1999 –> 2000-2012 9.4934685 24660.071834
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.8532499 15564.672667 57.4849358 1982-1999 –> 2000-2012 8.7969084 24029.964110
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4.6896464 15388.837614 54.0168634 1982-1999 –> 2000-2012 8.5633493 23801.933964
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.9921107 15710.971024 57.8480321 1982-1999 –> 2000-2012 9.0157015 24237.021994
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.0187958 15738.618749 57.8828507 1982-1999 –> 2000-2012 9.0542134 24273.557041
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5.0676649 15788.871605 58.9250312 1982-1999 –> 2000-2012 8.9650431 24218.418197
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.3514344 8454.955564 27.2185847 2000-2012 –> 2013-2019 9.4743887 24298.101295
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.2938397 8418.022325 35.6033144 2000-2012 –> 2013-2019 8.9593167 23778.063305
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4.4471171 8522.510534 37.1019339 2000-2012 –> 2013-2019 9.3097796 24099.231420
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2709136 8402.379108 33.5253347 2000-2012 –> 2013-2019 9.1241635 23967.051775
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4.3073558 8429.205770 36.5171090 2000-2012 –> 2013-2019 8.9970023 23818.043383
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.2533224 8390.319002 32.5082211 2000-2012 –> 2013-2019 9.2454331 24101.290025
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.2567901 8392.700327 32.3301363 2000-2012 –> 2013-2019 9.2755859 24131.319076
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.3954583 8486.369173 27.6381959 2000-2012 –> 2013-2019 9.4631231 24275.240778
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.3770725 8472.121086 27.0679629 2000-2012 –> 2013-2019 9.5619918 24377.618018
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.3522084 8457.475242 27.2266113 2000-2012 –> 2013-2019 9.5008823 24328.591899
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.9804346 14063.621107 23.1039311 1982-1999 –> 2000-2012 8.3911049 20367.446214
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.2906286 14346.332023 45.4076083 1982-1999 –> 2000-2012 8.4918471 20501.445833
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate 5.1975297 14261.848776 20.8494318 1982-1999 –> 2000-2012 8.8587460 20734.242082
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.6484464 13745.120995 21.0997771 1982-1999 –> 2000-2012 8.0820052 20066.851130
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4.7104394 13808.671853 36.6101601 1982-1999 –> 2000-2012 7.9244452 19975.265692
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.1762579 14242.795142 27.9953986 1982-1999 –> 2000-2012 8.7550322 20661.029454
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.0499245 14129.996702 28.6716506 1982-1999 –> 2000-2012 8.6250508 20547.805745
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 5.1152540 14187.715318 30.6699250 1982-1999 –> 2000-2012 8.7812846 20663.233542
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 5.0627073 14139.742213 15.2586891 1982-1999 –> 2000-2012 8.8112398 20668.182679
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.9739209 14059.540839 30.1172818 1982-1999 –> 2000-2012 8.4814151 20431.933318
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.4360701 6981.478949 21.3823653 2000-2012 –> 2013-2019 8.7266986 21327.810972
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.4067972 6959.011470 15.4950364 2000-2012 –> 2013-2019 8.0552436 20704.132464
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5896477 7096.302561 22.4685383 2000-2012 –> 2013-2019 9.0552322 21593.787576
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3.1450207 6751.057107 20.9850185 2000-2012 –> 2013-2019 7.8554600 20559.728960
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6400828 7132.941466 22.9228091 2000-2012 –> 2013-2019 9.0688165 21598.995520
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6051326 7107.606152 24.8939313 2000-2012 –> 2013-2019 8.6550571 21237.602854
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6407518 7133.424020 22.8180638 2000-2012 –> 2013-2019 9.0564138 21588.277623
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6360013 7127.995392 18.2372241 2000-2012 –> 2013-2019 8.7512553 21315.710710
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.8065113 7248.341163 20.5309440 2000-2012 –> 2013-2019 8.8692185 21388.083376
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3557754 6919.385785 23.2659692 2000-2012 –> 2013-2019 8.3296963 20978.926623
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3904825 18712.332749 16.5228361 1982-1999 –> 2000-2012 7.4872888 27269.619481
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3887447 18711.778480 16.6511494 1982-1999 –> 2000-2012 7.4740126 27258.552663
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.7153501 19174.902470 24.4412870 1982-1999 –> 2000-2012 7.7146810 27626.985148
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4.6445958 19079.355940 22.4347323 1982-1999 –> 2000-2012 7.6198884 27506.465519
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3088719 18593.273737 24.9695565 1982-1999 –> 2000-2012 7.3501040 27091.860472
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4.3092994 18595.913916 24.7702824 1982-1999 –> 2000-2012 7.3495933 27095.466281
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.6767516 19119.870920 18.4713380 1982-1999 –> 2000-2012 8.0149820 27928.790581
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.6770950 19122.344612 18.1906206 1982-1999 –> 2000-2012 7.9478558 27864.822384
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.4080652 18738.119677 25.9802692 1982-1999 –> 2000-2012 7.5926292 27389.074817
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4066749 18738.084277 26.0663153 1982-1999 –> 2000-2012 7.5932839 27393.191292
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.0109775 9379.399602 19.4829720 2000-2012 –> 2013-2019 8.6286632 28417.264834
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.1983235 9531.689023 13.9113058 2000-2012 –> 2013-2019 8.5888060 28244.021772
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0397971 9405.283725 19.8925106 2000-2012 –> 2013-2019 8.4285419 28117.062204
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4.1724191 9515.041597 21.2261970 2000-2012 –> 2013-2019 8.8170150 28594.397537
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9620424 9340.449134 21.1329877 2000-2012 –> 2013-2019 8.2709142 27933.722871
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1644259 9512.335594 21.4407461 2000-2012 –> 2013-2019 8.7810210 28550.676903
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3.9390707 9323.050935 18.6708570 2000-2012 –> 2013-2019 8.2483701 27918.964851
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1070356 9460.351150 20.3557696 2000-2012 –> 2013-2019 8.7841306 28582.695761
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.0045438 9374.044331 21.5317526 2000-2012 –> 2013-2019 8.4126091 28112.164009
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9168948 9302.217071 18.7144156 2000-2012 –> 2013-2019 8.3235697 28040.301348
Indo-Pacific (27,27.25] cstar_tref ~ aou + phosphate + phosphate_star 6.4495131 25242.701227 63.5353082 1982-1999 –> 2000-2012 8.9736885 33844.242429
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 6.4363525 25229.001441 63.3563327 1982-1999 –> 2000-2012 8.9571946 33827.701075
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.8593262 25718.193953 70.7796185 1982-1999 –> 2000-2012 9.2786762 34166.324831
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 5.2373187 23644.514674 25.5766574 1982-1999 –> 2000-2012 9.3391690 34027.014925
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.8906484 25755.211169 71.1761305 1982-1999 –> 2000-2012 9.3088880 34203.660011
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.2453488 22032.564635 41.0552021 1982-1999 –> 2000-2012 6.6229145 30418.862188
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3.2154448 19898.945859 22.0799982 1982-1999 –> 2000-2012 5.5918950 28285.523866
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate 6.6729574 25504.474907 63.6646836 1982-1999 –> 2000-2012 9.5004677 34521.814775
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.1435148 21843.951913 37.4400122 1982-1999 –> 2000-2012 6.5769869 30313.407839
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2171765 19901.084187 19.7281712 1982-1999 –> 2000-2012 5.6435619 28361.854249
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate_star 4.6138009 13272.061455 31.6845296 2000-2012 –> 2013-2019 10.3078964 37559.280094
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.7982540 13450.383475 34.5211054 2000-2012 –> 2013-2019 10.2731386 37437.860840
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate 4.5384024 13195.948115 30.4139097 2000-2012 –> 2013-2019 10.0066075 37170.042659
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 4.7307295 13384.634742 33.5794834 2000-2012 –> 2013-2019 9.9680482 37029.149416
Indo-Pacific (27,27.25] cstar_tref ~ sal + phosphate + phosphate_star 4.5622581 13219.529501 30.9099838 2000-2012 –> 2013-2019 10.1380018 37343.311127
Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.7572601 13409.789690 34.1586062 2000-2012 –> 2013-2019 10.1563317 37288.092146
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.0317608 12667.511484 22.4111695 2000-2012 –> 2013-2019 8.2771095 34700.076118
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3.7468158 12339.822315 16.8536220 2000-2012 –> 2013-2019 6.9622606 32238.768174
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.3862186 13044.532276 23.8168648 2000-2012 –> 2013-2019 8.5297334 34888.484189
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8073852 12409.953606 17.7558036 2000-2012 –> 2013-2019 7.0245617 32311.037793
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.1439801 24401.711124 12.7905803 1982-1999 –> 2000-2012 5.4417670 34900.333293
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.5661099 25597.836044 22.8271966 1982-1999 –> 2000-2012 5.7826937 35926.866777
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3205594 24921.372690 13.9404054 1982-1999 –> 2000-2012 5.3987028 34951.998498
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.2912867 24835.164856 12.5901300 1982-1999 –> 2000-2012 5.7539759 35654.621324
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.2887026 24827.695074 12.6741216 1982-1999 –> 2000-2012 5.6883385 35526.337434
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2504239 24718.354775 12.3698214 1982-1999 –> 2000-2012 5.3897016 34884.031579
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3.4307125 25233.728742 33.6877645 1982-1999 –> 2000-2012 5.2703364 34698.480300
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2942837 24845.820600 12.7208655 1982-1999 –> 2000-2012 5.5085525 35171.984014
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.2773892 24796.923612 12.6090914 1982-1999 –> 2000-2012 5.4847380 35108.507138
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7849863 26166.317495 39.4897693 1982-1999 –> 2000-2012 5.6639899 35727.727541
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate 3.5923916 15732.525964 18.2974710 2000-2012 –> 2013-2019 7.1353087 41266.310220
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4677576 15530.739283 29.3389969 2000-2012 –> 2013-2019 6.6117377 39932.450407
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6732792 15866.295923 33.4958787 2000-2012 –> 2013-2019 6.9938386 40787.668613
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.5244178 15623.194226 30.1795617 2000-2012 –> 2013-2019 6.8157045 40458.359082
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.5722531 15701.763080 29.7471461 2000-2012 –> 2013-2019 6.8609557 40529.458155
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6331739 15802.315097 32.9510976 2000-2012 –> 2013-2019 6.8835978 40520.669872
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3.0149314 14717.220955 20.3940563 2000-2012 –> 2013-2019 6.4456439 39950.949697
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6633841 15850.575131 33.3068840 2000-2012 –> 2013-2019 6.9576678 40696.395731
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6475931 15825.399346 33.0983303 2000-2012 –> 2013-2019 6.9249823 40622.322958
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3589583 15344.958562 20.5722202 2000-2012 –> 2013-2019 7.1439446 41511.276057
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.0446777 21692.987108 10.8457726 1982-1999 –> 2000-2012 3.5567549 30663.870144
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0702409 21819.198705 9.1653970 1982-1999 –> 2000-2012 3.7121500 31192.732000
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 2.0975354 21950.248781 9.3355076 1982-1999 –> 2000-2012 3.7741894 31424.139143
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.9945200 21442.695477 8.0482424 1982-1999 –> 2000-2012 3.3026971 29707.553334
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0768035 21851.347938 9.0779846 1982-1999 –> 2000-2012 3.7182174 31223.407160
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2.0707855 21823.870076 9.1568754 1982-1999 –> 2000-2012 3.6557429 31026.846987
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0716922 21826.317018 9.1445656 1982-1999 –> 2000-2012 3.7259608 31236.507219
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0733913 21834.644569 9.1214088 1982-1999 –> 2000-2012 3.7261701 31240.430825
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.1329189 22122.175491 9.5095458 1982-1999 –> 2000-2012 3.5719308 30850.967252
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.2193748 22525.794820 11.7443198 1982-1999 –> 2000-2012 3.8081459 31738.518681
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.8020349 12713.691200 11.6078839 2000-2012 –> 2013-2019 3.9705402 35001.948034
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.8907575 13019.725166 15.1525696 2000-2012 –> 2013-2019 3.9354352 34712.712274
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9201636 13117.353289 19.1918983 2000-2012 –> 2013-2019 3.9904045 34936.551993
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 1.9890472 13338.315435 17.1606253 2000-2012 –> 2013-2019 4.0865827 35288.564216
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.7518588 12539.050285 15.9712266 2000-2012 –> 2013-2019 3.7463788 33981.745762
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9403269 13183.435224 18.9655152 2000-2012 –> 2013-2019 4.0171304 35034.783162
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.8513500 12888.484222 19.8304250 2000-2012 –> 2013-2019 3.9221355 34712.354298
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9294360 13147.827633 19.0184099 2000-2012 –> 2013-2019 4.0011281 34974.144650
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9349256 13165.800952 18.9993618 2000-2012 –> 2013-2019 4.0083169 35000.445521
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.8604301 12917.434688 12.9478326 2000-2012 –> 2013-2019 3.9933490 35039.610179
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.1464578 8581.505917 6.8765977 1982-1999 –> 2000-2012 3.1995666 11626.058525
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.1475180 8585.444598 6.6119897 1982-1999 –> 2000-2012 3.1628058 11556.580681
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2.1507461 8593.341637 6.7490935 1982-1999 –> 2000-2012 2.8748600 10869.565791
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.5185471 7224.855007 11.6637989 1982-1999 –> 2000-2012 2.4197851 9950.287242
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1667950 8620.528641 6.6642694 1982-1999 –> 2000-2012 3.1957779 11619.293147
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.4466340 7036.386953 10.7609761 1982-1999 –> 2000-2012 2.3320313 9727.253871
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.1614530 8610.837612 6.6501541 1982-1999 –> 2000-2012 3.2034980 11635.612646
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.1475523 8585.507219 6.9873290 1982-1999 –> 2000-2012 3.0405496 11291.998475
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.0581173 8416.506713 8.5726705 1982-1999 –> 2000-2012 2.9787983 11183.950722
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.8351454 7968.320284 6.2365287 1982-1999 –> 2000-2012 2.7379702 10697.380085
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.3161917 3975.213616 12.2234902 2000-2012 –> 2013-2019 3.4626495 12556.719533
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2329302 3824.297158 11.3692748 2000-2012 –> 2013-2019 3.3804482 12409.741755
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.2902497 3932.631821 11.8117897 2000-2012 –> 2013-2019 3.4409958 12525.973458
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2127515 3785.682794 9.2821770 2000-2012 –> 2013-2019 2.7312986 11010.537800
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2539941 3863.937195 11.4639912 2000-2012 –> 2013-2019 3.4207891 12484.465836
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.9732567 3272.884786 9.9081867 2000-2012 –> 2013-2019 2.4198907 10309.271739
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2508938 3858.144666 11.4564447 2000-2012 –> 2013-2019 3.4123468 12468.982278
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate 1.2545641 3863.000450 11.4285900 2000-2012 –> 2013-2019 3.3848139 12414.748557
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2538555 3863.678558 11.4740637 2000-2012 –> 2013-2019 3.4205949 12484.106517
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2688056 3891.413950 12.1130497 2000-2012 –> 2013-2019 3.1039509 11859.734234
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate_star 2.3079445 10733.676441 16.5115966 1982-1999 –> 2000-2012 3.5258686 14343.084618
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate_star 2.6274809 11348.119226 20.9124069 1982-1999 –> 2000-2012 3.8608481 14983.575479
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.5819395 11268.997102 21.0139025 1982-1999 –> 2000-2012 3.6003509 14482.165164
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2063513 7651.485851 9.2069940 1982-1999 –> 2000-2012 1.9580656 10188.744850
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 2.5397193 11188.616392 20.4647139 1982-1999 –> 2000-2012 3.7794433 14837.515959
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.1415715 7391.090891 8.9211242 1982-1999 –> 2000-2012 1.8248799 9717.967390
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 2.5303746 11171.092249 20.5518399 1982-1999 –> 2000-2012 3.7357870 14757.514559
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 2.3794749 10878.780463 17.6143849 1982-1999 –> 2000-2012 3.5259804 14353.673282
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate 2.4560319 11027.326244 18.8308238 1982-1999 –> 2000-2012 3.7481002 14766.283124
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate 2.4168212 10950.815882 18.6203466 1982-1999 –> 2000-2012 3.6878981 14653.311514
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate_star 1.6232824 5392.783478 10.4283570 2000-2012 –> 2013-2019 3.9479568 16158.796605
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.4027879 4981.927615 10.3874065 2000-2012 –> 2013-2019 3.7107324 15715.604056
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.4569228 5091.009667 10.8480976 2000-2012 –> 2013-2019 4.0388624 16360.006768
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.9034012 3739.465829 5.7062150 2000-2012 –> 2013-2019 2.1097525 11390.951681
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 1.5579040 5278.527498 11.7444037 2000-2012 –> 2013-2019 4.0976233 16467.143889
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.7779754 3318.759323 7.0846047 2000-2012 –> 2013-2019 1.9195468 10709.850213
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 1.5840601 5325.613303 12.3881541 2000-2012 –> 2013-2019 4.1144347 16496.705552
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 1.5192463 5207.468430 11.7198990 2000-2012 –> 2013-2019 3.8987212 16086.248893
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate 1.5992870 5350.667966 12.1151991 2000-2012 –> 2013-2019 4.0553189 16377.994209
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate 1.5931221 5339.745555 12.4087773 2000-2012 –> 2013-2019 4.0099433 16290.561437
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.6945096 5910.144917 3.8614026 1982-1999 –> 2000-2012 1.4636585 8981.845769
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.8050748 6736.246213 4.5928474 1982-1999 –> 2000-2012 1.6178319 9953.757904
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.7013317 5966.805981 3.9867746 1982-1999 –> 2000-2012 1.4325038 8906.626363
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6945617 5910.564106 3.8492386 1982-1999 –> 2000-2012 1.4663071 8991.175539
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.6983314 5942.832199 4.0213551 1982-1999 –> 2000-2012 1.3920115 8743.477438
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.6945676 5910.611263 3.8390366 1982-1999 –> 2000-2012 1.4698701 9003.381489
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7020018 5970.146343 3.7349946 1982-1999 –> 2000-2012 1.5505433 9301.579075
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.6946159 5911.000144 3.8379451 1982-1999 –> 2000-2012 1.4705498 9005.922825
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 0.8021911 6714.180615 4.0052210 1982-1999 –> 2000-2012 1.6484374 10036.451802
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.6969809 5930.007487 3.9960078 1982-1999 –> 2000-2012 1.3979127 8756.149741
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.4449797 2076.010278 5.7815250 2000-2012 –> 2013-2019 1.1999389 8450.850489
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4292964 1956.444775 5.5838045 2000-2012 –> 2013-2019 1.1238060 7866.589692
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.3932669 1661.456110 5.2576584 2000-2012 –> 2013-2019 1.0945986 7628.262091
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4298367 1960.706246 5.5858621 2000-2012 –> 2013-2019 1.1243984 7871.270352
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.4195747 1880.839256 5.5680441 2000-2012 –> 2013-2019 1.1179061 7823.671455
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.4305017 1965.943812 5.5874746 2000-2012 –> 2013-2019 1.1250693 7876.555075
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.4507773 2121.867115 5.6173644 2000-2012 –> 2013-2019 1.1527791 8092.013458
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4305944 1966.673456 5.5876301 2000-2012 –> 2013-2019 1.1252103 7877.673600
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.4236146 1911.304470 5.4529892 2000-2012 –> 2013-2019 1.2157512 8556.953458
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.4212675 1892.480786 5.5674782 2000-2012 –> 2013-2019 1.1182484 7822.488273
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 0.6024215 2890.715559 2.9161787 1982-1999 –> 2000-2012 1.2752712 4561.543557
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.5700115 2718.186509 2.9670465 1982-1999 –> 2000-2012 1.2238894 4344.622962
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.5243526 2456.685301 2.6195990 1982-1999 –> 2000-2012 1.1823912 4095.409913
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.5702463 2719.486286 2.9760648 1982-1999 –> 2000-2012 1.2261995 4351.062631
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.5661489 2698.727334 2.6490685 1982-1999 –> 2000-2012 1.1184205 4053.239279
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.5704815 2720.787688 2.9858780 1982-1999 –> 2000-2012 1.2285522 4357.591562
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.5529703 2622.394970 3.0281739 1982-1999 –> 2000-2012 1.2209486 4283.436801
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.5705087 2720.938222 2.9872086 1982-1999 –> 2000-2012 1.2289256 4358.595251
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 0.6311607 3037.795190 3.6428344 1982-1999 –> 2000-2012 1.3308067 4771.966418
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.5657573 2694.543957 2.6521090 1982-1999 –> 2000-2012 1.1649801 4179.400486
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3584446 742.543201 2.9912576 2000-2012 –> 2013-2019 0.9284562 3460.729709
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.3578488 741.458754 2.9916541 2000-2012 –> 2013-2019 0.8822014 3198.144055
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.3586341 743.522885 2.9909545 2000-2012 –> 2013-2019 0.9288804 3463.009171
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.3643801 774.991909 3.1414615 2000-2012 –> 2013-2019 0.9305290 3473.719243
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.3586407 743.557066 2.9917011 2000-2012 –> 2013-2019 0.9291222 3464.344754
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.3802445 852.003921 2.9331962 2000-2012 –> 2013-2019 0.9332149 3474.398891
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.3585222 742.944473 2.9920835 2000-2012 –> 2013-2019 0.9290310 3463.882695
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.3224189 546.162943 3.2009468 2000-2012 –> 2013-2019 0.8995853 3303.717106
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.3757429 829.923956 2.9651365 2000-2012 –> 2013-2019 0.9415003 3524.467913
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate_star 0.3354994 617.893773 3.2279200 2000-2012 –> 2013-2019 0.9982340 3809.746176
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8193900 40206.983507 3.7668867 1982-1999 –> 2000-2012 1.6955839 61329.169507
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.6943119 34750.852212 2.7801769 1982-1999 –> 2000-2012 1.4334304 53084.239866
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8182093 40159.469854 3.7581543 1982-1999 –> 2000-2012 1.6942007 61277.863443
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.8102983 39841.314854 3.6937509 1982-1999 –> 2000-2012 1.6862719 60961.376006
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8172118 40119.270854 3.7501212 1982-1999 –> 2000-2012 1.6931398 61236.477477
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.8028207 39533.818318 3.6556813 1982-1999 –> 2000-2012 1.6639189 60370.920455
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8171498 40116.770889 3.7497385 1982-1999 –> 2000-2012 1.6930777 61233.975634
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 0.8153975 40044.032366 4.4391486 1982-1999 –> 2000-2012 1.6898627 61131.822569
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7030383 35160.426005 2.7271324 1982-1999 –> 2000-2012 1.4709691 54119.125515
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8239733 40390.792016 3.8319309 1982-1999 –> 2000-2012 1.7306948 62074.779455
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.5805818 18489.517992 4.5562352 2000-2012 –> 2013-2019 1.4409510 60302.608621
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.5531739 17468.576456 3.8577607 2000-2012 –> 2013-2019 1.3774482 57869.400969
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.6734897 21627.423936 6.0106744 2000-2012 –> 2013-2019 1.3678016 56378.276147
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 0.5591585 17695.753918 3.7687576 2000-2012 –> 2013-2019 1.3745560 57739.786284
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5722850 18187.640793 4.5702956 2000-2012 –> 2013-2019 1.2753233 53348.066798
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate 0.5525881 17446.209042 3.8397072 2000-2012 –> 2013-2019 1.3784772 57911.523242
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate_star 0.5540736 17502.884538 3.8758617 2000-2012 –> 2013-2019 1.3812953 58021.330982
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate_star 0.5547118 17527.190664 3.9499327 2000-2012 –> 2013-2019 1.3586718 57105.736369
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + silicate + phosphate + phosphate_star 0.5541239 17504.804130 3.8767536 2000-2012 –> 2013-2019 1.3814903 58029.009459
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + silicate + phosphate_star 0.5650649 17915.591201 3.9524388 2000-2012 –> 2013-2019 1.4557949 60869.446412
SO (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.3554844 23.539941 0.6160956 1982-1999 –> 2000-2012 1.2756196 75.611055
SO (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3543123 25.440863 0.6527696 1982-1999 –> 2000-2012 1.2800804 79.695074
SO (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.4433070 32.163374 1.4379543 1982-1999 –> 2000-2012 1.2320327 81.611431
SO (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.4314425 33.349522 1.6091337 1982-1999 –> 2000-2012 1.2078926 84.326994
SO (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.3447546 24.620482 0.7614688 1982-1999 –> 2000-2012 1.2537848 78.327331
SO (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.3878108 28.151025 0.7340159 1982-1999 –> 2000-2012 1.3136203 82.406576
SO (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.3769844 29.301608 1.0953124 1982-1999 –> 2000-2012 1.2855109 84.991829
SO (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.4111727 29.905895 0.8038378 1982-1999 –> 2000-2012 1.3211383 83.643596
SO (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.3976836 28.905198 0.7552523 1982-1999 –> 2000-2012 1.3245721 83.195694
SO (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.4095814 29.789566 1.5114510 1982-1999 –> 2000-2012 1.2370038 80.674526
SO (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.0000000 -263.074613 0.0000000 2000-2012 –> 2013-2019 0.3554844 -239.534672
SO (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 0.0000000 -259.523405 0.0000000 2000-2012 –> 2013-2019 0.5654635 -222.058537
SO (26,26.5] cstar_tref ~ sal + temp + aou + phosphate 0.0000000 -262.741156 0.0000000 2000-2012 –> 2013-2019 0.4207273 -234.146115
SO (26,26.5] cstar_tref ~ sal + temp + aou + phosphate_star 0.0000000 -260.451990 0.0000000 2000-2012 –> 2013-2019 0.4433817 -230.283562
SO (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 0.0000000 -260.154873 0.0000000 2000-2012 –> 2013-2019 0.4529820 -229.343803
SO (26,26.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.0000000 -258.063853 0.0000000 2000-2012 –> 2013-2019 0.4386880 -228.214699
SO (26,26.5] cstar_tref ~ sal + temp + phosphate_star 0.0070685 -25.331702 0.0158033 2000-2012 –> 2013-2019 0.6177372 12.440435
SO (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 0.0000000 -259.784333 0.0000000 2000-2012 –> 2013-2019 0.4317888 -230.410741
SO (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.0000000 -267.486559 0.0000000 2000-2012 –> 2013-2019 0.4857571 -234.579799
SO (26,26.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.0000000 -259.356723 0.0000000 2000-2012 –> 2013-2019 0.6922750 -215.821728
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0047611 190.537356 3.7996963 1982-1999 –> 2000-2012 2.1997217 313.136872
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.9765543 189.006483 3.4746675 1982-1999 –> 2000-2012 2.1299469 311.198427
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6240357 309.572851 6.5291801 1982-1999 –> 2000-2012 4.6406207 467.756243
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2.5070546 305.917843 6.0179260 1982-1999 –> 2000-2012 4.3855626 461.278158
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5587933 306.450817 6.3302098 1982-1999 –> 2000-2012 4.6012664 465.501611
SO (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 2.6044294 306.642864 6.6940877 1982-1999 –> 2000-2012 4.5906660 461.795122
SO (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.1503049 284.883976 6.2677051 1982-1999 –> 2000-2012 3.8434935 431.181511
SO (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.5568493 306.356571 6.3263446 1982-1999 –> 2000-2012 4.6109851 465.794546
SO (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.0879733 198.403642 4.0299754 1982-1999 –> 2000-2012 2.3243292 321.318904
SO (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.0228150 192.745645 3.5354243 1982-1999 –> 2000-2012 2.2396740 316.580029
SO (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.4106929 92.160994 4.5003811 2000-2012 –> 2013-2019 4.7841004 389.285878
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.5448564 41.597989 1.5163600 2000-2012 –> 2013-2019 1.5496175 232.135345
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.6156472 47.751148 2.3703322 2000-2012 –> 2013-2019 1.5922014 236.757631
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.3109366 90.724109 6.4476171 2000-2012 –> 2013-2019 4.9834715 402.567887
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1459177 88.205198 6.3442095 2000-2012 –> 2013-2019 4.7699534 397.778049
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.8720619 85.563285 4.7497186 2000-2012 –> 2013-2019 4.3791165 391.481129
SO (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.1709455 88.599445 6.4629549 2000-2012 –> 2013-2019 4.7297389 395.050262
SO (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.1608314 88.440675 6.4149905 2000-2012 –> 2013-2019 4.7176807 394.797245
SO (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.1378073 64.633412 2.7349753 2000-2012 –> 2013-2019 2.2257807 263.037054
SO (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.1247317 66.240424 3.4777153 2000-2012 –> 2013-2019 2.1475467 258.986069
SO (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.0350653 827.456175 5.7193626 1982-1999 –> 2000-2012 3.1261606 1329.439268
SO (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2.0281343 828.152940 5.0132317 1982-1999 –> 2000-2012 3.0195938 1301.110032
SO (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.7587495 771.712887 6.5804710 1982-1999 –> 2000-2012 3.8622491 1486.376150
SO (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.7495684 771.713522 6.5698751 1982-1999 –> 2000-2012 3.7756844 1476.232703
SO (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.4559397 899.265126 9.0290184 1982-1999 –> 2000-2012 4.4874976 1602.653372
SO (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4557161 899.230358 6.0309841 1982-1999 –> 2000-2012 4.1942657 1552.155032
SO (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 2.2126287 857.411765 5.4357910 1982-1999 –> 2000-2012 3.3100826 1359.277525
SO (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.1930794 856.021671 7.0048170 1982-1999 –> 2000-2012 3.2103800 1335.315210
SO (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.8768346 794.536614 8.0781233 1982-1999 –> 2000-2012 3.9782932 1506.885366
SO (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.8384000 788.632657 8.0566449 1982-1999 –> 2000-2012 3.9057954 1497.686550
SO (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8599805 249.865290 2.6239996 2000-2012 –> 2013-2019 2.8950458 1077.321466
SO (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.5284226 161.280822 1.6929931 2000-2012 –> 2013-2019 2.5565569 989.433761
SO (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8694881 251.910354 2.8168657 2000-2012 –> 2013-2019 2.6282376 1023.623241
SO (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6653157 202.128750 2.0257723 2000-2012 –> 2013-2019 3.2170926 1116.017026
SO (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.5904936 181.938408 2.7551070 2000-2012 –> 2013-2019 2.3400619 953.651930
SO (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.6375073 194.187316 2.0878899 2000-2012 –> 2013-2019 3.0934470 1093.452442
SO (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7608038 227.073941 3.2354213 2000-2012 –> 2013-2019 3.2165200 1126.304299
SO (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.6410498 195.218005 2.0981202 2000-2012 –> 2013-2019 3.1116551 1096.757470
SO (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.0514509 285.254384 3.9167249 2000-2012 –> 2013-2019 2.9282855 1079.790998
SO (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.9919141 276.412478 3.3505029 2000-2012 –> 2013-2019 2.8303141 1065.045134
SO (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.8594928 2711.878303 8.3522327 1982-1999 –> 2000-2012 2.8620337 3751.341165
SO (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6619792 2561.424841 7.8469050 1982-1999 –> 2000-2012 3.0507980 3833.547211
SO (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9384643 2764.863312 7.2310969 1982-1999 –> 2000-2012 2.9643030 3818.866644
SO (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.4833161 2413.075137 5.6170585 1982-1999 –> 2000-2012 2.4625090 3435.571711
SO (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8782410 2723.140526 6.6644731 1982-1999 –> 2000-2012 2.8852869 3763.831527
SO (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8739319 2720.104068 7.1230512 1982-1999 –> 2000-2012 2.8770731 3757.997961
SO (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8801092 2724.454810 6.6422850 1982-1999 –> 2000-2012 2.8859895 3764.311985
SO (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8800002 2722.378201 6.5075621 1982-1999 –> 2000-2012 2.9050333 3773.815877
SO (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.6601937 2558.003825 7.5508730 1982-1999 –> 2000-2012 3.0622036 3834.932512
SO (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5946472 2506.751403 8.5358645 1982-1999 –> 2000-2012 2.6357256 3571.372220
SO (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.2321483 1098.046688 4.4743382 2000-2012 –> 2013-2019 3.1460171 3846.029030
SO (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.1687579 1064.870127 4.0023207 2000-2012 –> 2013-2019 3.0282507 3776.748430
SO (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2962381 1131.817606 3.9431860 2000-2012 –> 2013-2019 2.9582172 3693.242447
SO (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3040102 1135.798970 3.7978005 2000-2012 –> 2013-2019 3.2424745 3900.662282
SO (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.2938011 1132.564335 4.0860889 2000-2012 –> 2013-2019 2.7771172 3545.639473
SO (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2969134 1132.164504 3.8576516 2000-2012 –> 2013-2019 3.1751544 3855.305030
SO (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1764213 1067.222752 3.9220770 2000-2012 –> 2013-2019 3.0503531 3787.326820
SO (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2992323 1133.354236 3.8239202 2000-2012 –> 2013-2019 3.1793415 3857.809046
SO (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.3073840 1135.519822 3.9725480 2000-2012 –> 2013-2019 2.9675776 3693.523647
SO (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2981178 1132.782704 4.0972307 2000-2012 –> 2013-2019 2.8927650 3639.534107
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate 1.5632504 4101.627095 9.2117033 1982-1999 –> 2000-2012 2.5900565 5506.984635
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.5469212 4080.609663 9.3847974 1982-1999 –> 2000-2012 2.5701613 5484.613510
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.5590435 4097.720175 9.1752056 1982-1999 –> 2000-2012 2.5649031 5485.209045
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.5515001 4089.088520 9.6291175 1982-1999 –> 2000-2012 2.5603582 5481.446848
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.5727950 4116.969815 8.8808672 1982-1999 –> 2000-2012 2.6360000 5557.908148
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.5628489 4105.063985 9.5433016 1982-1999 –> 2000-2012 2.6249561 5547.006455
SO (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.5563398 4091.915517 9.1879662 1982-1999 –> 2000-2012 2.5970940 5510.279825
SO (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5563944 4093.992321 9.7147525 1982-1999 –> 2000-2012 2.5963319 5513.599928
SO (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.5723000 4114.279906 10.0495500 1982-1999 –> 2000-2012 2.6029477 5523.237341
SO (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.5589925 4097.648453 9.8729453 1982-1999 –> 2000-2012 2.5679423 5488.094397
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate 1.6586430 1971.587217 5.2166295 2000-2012 –> 2013-2019 3.2218934 6073.214312
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6637811 1976.735877 5.7845697 2000-2012 –> 2013-2019 3.2107023 6057.345541
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.6397809 1961.944215 5.8492342 2000-2012 –> 2013-2019 3.1988244 6059.664390
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.6518895 1971.433755 6.0177520 2000-2012 –> 2013-2019 3.2033896 6060.522275
SO (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.6967906 1998.735277 6.9638955 2000-2012 –> 2013-2019 3.2596394 6103.799262
SO (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6592184 1973.940334 5.9131822 2000-2012 –> 2013-2019 3.2156128 6067.932654
SO (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.6546847 1971.154865 6.2930282 2000-2012 –> 2013-2019 3.2136771 6068.803318
SO (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.7029000 2000.394099 6.8952449 2000-2012 –> 2013-2019 3.2560341 6089.789953
SO (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate_star 1.7045361 1999.371687 7.1790214 2000-2012 –> 2013-2019 3.2666116 6099.350699
SO (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1.6593214 1972.003490 5.9780886 2000-2012 –> 2013-2019 3.2139047 6061.443662
SO (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.4226544 6569.955898 6.2791987 1982-1999 –> 2000-2012 2.4035498 8913.771275
SO (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate_star 1.4553619 6654.103051 6.9578313 1982-1999 –> 2000-2012 2.3911417 8919.473667
SO (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 1.4797461 6715.615091 5.8777125 1982-1999 –> 2000-2012 2.3867804 8929.006697
SO (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.4033070 6521.264952 6.5895256 1982-1999 –> 2000-2012 2.3094794 8735.072686
SO (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate 1.4340228 6599.420917 6.1820406 1982-1999 –> 2000-2012 2.3889406 8898.519856
SO (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.4213691 6568.609700 6.6236370 1982-1999 –> 2000-2012 2.3414774 8807.843771
SO (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.4407972 6618.868204 6.1777915 1982-1999 –> 2000-2012 2.3456811 8830.305312
SO (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.3950289 6501.362283 7.0280087 1982-1999 –> 2000-2012 2.2994707 8713.985378
SO (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.4768633 6712.395921 6.2984231 1982-1999 –> 2000-2012 2.3957368 8951.392591
SO (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.3985743 6508.758889 6.8339971 1982-1999 –> 2000-2012 2.3430482 8791.536496
SO (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.6850036 2938.584979 8.1340213 2000-2012 –> 2013-2019 3.1076580 9508.540876
SO (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 1.6960424 2948.431983 8.2566473 2000-2012 –> 2013-2019 3.1757885 9664.047074
SO (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.6808724 2936.883210 8.2376137 2000-2012 –> 2013-2019 3.0841794 9458.148163
SO (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6478455 2906.958032 7.8437618 2000-2012 –> 2013-2019 3.0692145 9475.567732
SO (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.6971760 2951.439545 8.1858791 2000-2012 –> 2013-2019 3.1379732 9570.307749
SO (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.6478440 2908.956655 7.8429406 2000-2012 –> 2013-2019 3.0428729 9410.318938
SO (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.6969520 2953.240535 8.3519360 2000-2012 –> 2013-2019 3.1738153 9665.636456
SO (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6866601 2942.066742 8.1300631 2000-2012 –> 2013-2019 3.1695641 9667.573970
SO (27.5,27.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.6736178 2928.360632 7.3301270 2000-2012 –> 2013-2019 3.1488041 9632.550588
SO (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.6709873 2927.988609 7.6877373 2000-2012 –> 2013-2019 3.0695616 9436.747498
SO (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.4305300 2976.008582 6.3390921 1982-1999 –> 2000-2012 2.5795256 4016.174203
SO (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate_star 1.4566800 3006.224129 7.3407789 1982-1999 –> 2000-2012 2.6374956 4064.419147
SO (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.4452313 2995.062785 7.0853910 1982-1999 –> 2000-2012 2.5954274 4037.917615
SO (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.4385875 2987.377276 7.8348397 1982-1999 –> 2000-2012 2.6994518 4090.863000
SO (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.1888649 2671.351809 5.9757150 1982-1999 –> 2000-2012 2.4022501 3751.504538
SO (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.5812893 3145.134644 9.2196962 1982-1999 –> 2000-2012 2.6519271 4140.682110
SO (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.5811899 3147.029788 9.2349260 1982-1999 –> 2000-2012 2.6469631 4141.571579
SO (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.1761192 2651.372804 6.0442978 1982-1999 –> 2000-2012 2.3873335 3728.343673
SO (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.5906926 3153.024274 8.9449886 1982-1999 –> 2000-2012 2.7258560 4185.196263
SO (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5834378 3147.399456 9.4950842 1982-1999 –> 2000-2012 2.6603128 4146.780659
SO (27.75,27.85] cstar_tref ~ aou + nitrate + phosphate_star 1.4058061 1259.280059 5.1520200 2000-2012 –> 2013-2019 2.9559467 4367.230065
SO (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.4028905 1259.806043 5.1944123 2000-2012 –> 2013-2019 2.8334206 4235.814625
SO (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate_star 1.3951724 1255.889131 4.8763313 2000-2012 –> 2013-2019 2.8518524 4262.113260
SO (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.3664599 1243.124958 5.2372163 2000-2012 –> 2013-2019 2.8116912 4238.187743
SO (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.3298831 1223.860991 5.2899479 2000-2012 –> 2013-2019 2.7684706 4211.238267
SO (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.3056443 1212.800945 4.5082572 2000-2012 –> 2013-2019 2.4945092 3884.152755
SO (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.4413233 1280.995142 4.4035972 2000-2012 –> 2013-2019 3.0226126 4426.129785
SO (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.4420230 1283.339723 4.7313125 2000-2012 –> 2013-2019 3.0232129 4430.369512
SO (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.3629339 1239.290518 5.3078264 2000-2012 –> 2013-2019 2.9140746 4350.316288
SO (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.3069322 1211.500958 4.3881288 2000-2012 –> 2013-2019 2.4830514 3862.873762
SO (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.8038150 4120.073889 12.0069284 1982-1999 –> 2000-2012 3.6922795 5699.757241
SO (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.8527699 4172.807877 12.9071045 1982-1999 –> 2000-2012 3.7017841 5734.404367
SO (27.85,27.95] cstar_tref ~ sal + silicate + phosphate_star 1.8829887 4203.876659 13.1793006 1982-1999 –> 2000-2012 3.7039732 5751.833328
SO (27.85,27.95] cstar_tref ~ sal + temp + aou 1.9649433 4290.957510 13.9928958 1982-1999 –> 2000-2012 3.6423795 5776.345819
SO (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.8308167 4150.444146 10.8990290 1982-1999 –> 2000-2012 3.0848108 5418.141630
SO (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.7201301 4024.975842 9.5806017 1982-1999 –> 2000-2012 2.8190593 5194.091217
SO (27.85,27.95] cstar_tref ~ sal + temp + nitrate 1.9270915 4251.198585 13.5442603 1982-1999 –> 2000-2012 3.6391648 5752.161065
SO (27.85,27.95] cstar_tref ~ sal + temp + phosphate 1.9326242 4257.058576 13.6037248 1982-1999 –> 2000-2012 3.6872765 5776.740007
SO (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.8209201 4137.365279 10.1486999 1982-1999 –> 2000-2012 3.4544844 5604.558827
SO (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.7693565 4080.649248 11.0966623 1982-1999 –> 2000-2012 2.8674800 5247.205800
SO (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.2522199 1402.702573 4.3266602 2000-2012 –> 2013-2019 3.0639064 5529.676609
SO (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.2329404 1391.575990 3.9964320 2000-2012 –> 2013-2019 3.0367554 5511.649879
SO (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 1.2388486 1393.620296 4.0657895 2000-2012 –> 2013-2019 3.0768428 5550.062106
SO (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.2338755 1390.217394 4.0623182 2000-2012 –> 2013-2019 3.0866454 5563.025271
SO (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.2346412 1394.742239 4.2213950 2000-2012 –> 2013-2019 2.9902380 5461.433813
SO (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2000702 1368.715496 3.8535487 2000-2012 –> 2013-2019 3.0308868 5519.159642
SO (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.2054506 1374.500021 3.9648494 2000-2012 –> 2013-2019 2.9255807 5399.475863
SO (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.2527038 1405.029394 4.3497864 2000-2012 –> 2013-2019 3.0556065 5524.069240
SO (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.2241863 1383.547824 4.0101758 2000-2012 –> 2013-2019 3.0451064 5520.913103
SO (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2367988 1394.219335 4.3575628 2000-2012 –> 2013-2019 3.0061552 5474.868583
SO (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.8700199 6087.316252 13.0109712 1982-1999 –> 2000-2012 3.9153433 8231.541709
SO (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.0372370 6339.683097 12.9661132 1982-1999 –> 2000-2012 4.0023255 8441.969956
SO (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8824041 6106.920132 13.2168225 1982-1999 –> 2000-2012 3.9777460 8275.258081
SO (27.95,28.05] cstar_tref ~ sal + temp + aou 2.0961325 6422.326556 14.1421470 1982-1999 –> 2000-2012 3.9577696 8468.640562
SO (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.8574615 6069.303434 13.2854230 1982-1999 –> 2000-2012 4.0190842 8270.721567
SO (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.7689133 5922.232697 9.1159949 1982-1999 –> 2000-2012 3.1504246 7674.865057
SO (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.5492948 5530.512956 9.1695510 1982-1999 –> 2000-2012 2.9036623 7265.341503
SO (27.95,28.05] cstar_tref ~ sal + temp + nitrate 2.0824548 6402.883203 13.3645594 1982-1999 –> 2000-2012 3.9996899 8478.566200
SO (27.95,28.05] cstar_tref ~ sal + temp + phosphate 2.0649006 6377.741286 13.1421091 1982-1999 –> 2000-2012 4.0273854 8476.704929
SO (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.1125306 6449.470518 15.8639807 1982-1999 –> 2000-2012 3.4152026 8143.459927
SO (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.1063162 1613.012946 5.0614010 2000-2012 –> 2013-2019 2.9763361 7700.329198
SO (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0898270 1597.215256 4.8432100 2000-2012 –> 2013-2019 2.9722310 7704.135388
SO (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.0889547 1598.372952 4.8156541 2000-2012 –> 2013-2019 2.9464162 7667.676387
SO (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1243391 1630.012905 3.7987883 2000-2012 –> 2013-2019 2.8932524 7552.245602
SO (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0900521 1597.432544 4.8577435 2000-2012 –> 2013-2019 2.9983576 7744.940539
SO (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.0864224 1595.923670 4.8072250 2000-2012 –> 2013-2019 2.6357171 7126.436626
SO (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0897109 1597.103232 4.8292953 2000-2012 –> 2013-2019 2.9833170 7721.645142
SO (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0951394 1602.330816 4.9233128 2000-2012 –> 2013-2019 2.9991689 7743.176455
SO (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0898395 1597.227392 4.8360409 2000-2012 –> 2013-2019 2.9899812 7732.002289
SO (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 1.0803601 1586.037105 4.3505715 2000-2012 –> 2013-2019 2.9949244 7741.269953
SO (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.3892751 3098.474592 6.6994892 1982-1999 –> 2000-2012 3.0551346 4422.384821
SO (28.05,28.1] cstar_tref ~ sal + temp + aou 1.3950880 3103.848412 7.2634869 1982-1999 –> 2000-2012 2.9925186 4397.236217
SO (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 1.3941542 3104.665898 6.5928463 1982-1999 –> 2000-2012 3.0402041 4420.441443
SO (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 1.3960236 3107.032344 6.5999189 1982-1999 –> 2000-2012 3.1001201 4446.374384
SO (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2771362 2951.844768 6.6143768 1982-1999 –> 2000-2012 2.4608999 4045.438272
SO (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.2275192 2883.867013 6.4506819 1982-1999 –> 2000-2012 2.4425020 3997.161535
SO (28.05,28.1] cstar_tref ~ sal + temp + nitrate 1.3981786 3107.756372 6.6820035 1982-1999 –> 2000-2012 2.9577725 4384.843867
SO (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.3949184 3105.633657 6.6169456 1982-1999 –> 2000-2012 3.0669126 4432.043444
SO (28.05,28.1] cstar_tref ~ sal + temp + phosphate 1.4048332 3116.141665 6.7601000 1982-1999 –> 2000-2012 3.0055048 4410.907695
SO (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.4820213 3214.601990 9.2601123 1982-1999 –> 2000-2012 2.9524493 4455.656606
SO (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.9410510 916.548293 4.1510026 2000-2012 –> 2013-2019 2.3361338 4022.390067
SO (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.9609042 932.452605 3.9613643 2000-2012 –> 2013-2019 2.3284303 4005.061964
SO (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.9640075 934.600000 4.1601413 2000-2012 –> 2013-2019 2.3406280 4018.914943
SO (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.9624980 935.556337 4.1338990 2000-2012 –> 2013-2019 2.3116560 3986.284708
SO (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.9901801 952.440657 4.6113326 2000-2012 –> 2013-2019 2.2673163 3904.285424
SO (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9650649 935.330141 4.2314269 2000-2012 –> 2013-2019 2.3460526 4025.238547
SO (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.9606587 934.282437 4.1400191 2000-2012 –> 2013-2019 2.1881779 3818.149450
SO (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.9654540 935.598625 4.2432022 2000-2012 –> 2013-2019 2.3439341 4022.297443
SO (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.9624965 933.555338 4.1246154 2000-2012 –> 2013-2019 2.3440607 4024.200789
SO (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9644329 934.893840 4.2194770 2000-2012 –> 2013-2019 2.3436883 4022.585599
SO (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2755651 24121.077936 5.3173638 1982-1999 –> 2000-2012 2.2193983 34555.910157
SO (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1553912 22686.100594 8.0739059 1982-1999 –> 2000-2012 2.1476730 33504.174420
SO (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.2580324 23920.365001 5.5651915 1982-1999 –> 2000-2012 2.1977341 34321.610657
SO (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.1586689 22729.183310 9.4931859 1982-1999 –> 2000-2012 2.0980901 33130.142403
SO (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.2694249 24053.100963 5.4039422 1982-1999 –> 2000-2012 2.2097655 34461.549988
SO (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2758212 24123.989313 5.3142095 1982-1999 –> 2000-2012 2.2191342 34554.600284
SO (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2522014 23852.991732 5.4898390 1982-1999 –> 2000-2012 2.1980663 34304.286630
SO (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2761472 24127.694157 5.3094251 1982-1999 –> 2000-2012 2.2193793 34557.649091
SO (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.2052805 23297.148161 6.4385794 1982-1999 –> 2000-2012 2.2017901 34145.772865
SO (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.1884641 23095.388382 9.3191979 1982-1999 –> 2000-2012 2.1628363 33774.017523
SO (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1882478 13697.014819 8.5487880 2000-2012 –> 2013-2019 2.3436390 36383.115413
SO (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.2534411 14156.258371 8.5060505 2000-2012 –> 2013-2019 2.5114735 38076.623371
SO (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1.1873273 13692.351598 8.5254625 2000-2012 –> 2013-2019 2.3459962 36421.534908
SO (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1.2509670 14141.270888 8.6315661 2000-2012 –> 2013-2019 2.5203919 38194.371852
SO (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2567366 14178.834429 8.5296704 2000-2012 –> 2013-2019 2.5325578 38302.823742
SO (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2406249 14067.893378 8.5509075 2000-2012 –> 2013-2019 2.4928264 37920.885110
SO (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2564542 14176.901991 8.5322341 2000-2012 –> 2013-2019 2.5326013 38304.596148
SO (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.1884753 13696.660702 8.5596225 2000-2012 –> 2013-2019 2.3937558 36993.808863
SO (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.1883488 13697.745839 8.5731440 2000-2012 –> 2013-2019 2.3768130 36793.134221
SO (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1.2439161 14088.671771 8.6392265 2000-2012 –> 2013-2019 2.5322963 38352.719187
SO (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.6173097 746.385284 3.1915945 1982-1999 –> 2000-2012 0.9626108 823.682101
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6379156 772.062370 3.5356998 1982-1999 –> 2000-2012 1.0011412 858.367306
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.6254096 758.579457 3.2649795 1982-1999 –> 2000-2012 0.9666991 835.796211
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.6267808 758.292073 2.6256830 1982-1999 –> 2000-2012 0.9858665 842.556545
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6260678 757.401970 3.2201178 1982-1999 –> 2000-2012 0.9796271 838.905721
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.5275764 625.550967 2.5173299 1982-1999 –> 2000-2012 0.8420192 688.184394
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.6232176 753.833812 3.2046182 1982-1999 –> 2000-2012 0.9779552 835.929780
SO (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.6268717 758.405519 3.3101275 1982-1999 –> 2000-2012 0.9855074 842.446769
SO (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.6243743 755.283808 3.2121902 1982-1999 –> 2000-2012 0.9783795 837.011904
SO (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 0.6510413 785.989398 3.3683642 1982-1999 –> 2000-2012 1.0217267 873.913002
SO (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.2182321 8.011060 0.5031517 2000-2012 –> 2013-2019 0.8371124 756.383409
SO (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.2161822 7.463681 0.4941006 2000-2012 –> 2013-2019 0.8334919 753.848965
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.2273760 10.391733 0.4933398 2000-2012 –> 2013-2019 0.8652916 782.454103
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2176087 9.845133 0.5050638 2000-2012 –> 2013-2019 0.8430183 768.424590
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.2088706 5.468104 0.5309263 2000-2012 –> 2013-2019 0.8356514 763.760177
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.2238857 9.494499 0.5121096 2000-2012 –> 2013-2019 0.8499535 766.896468
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.1046702 -32.604106 0.3563876 2000-2012 –> 2013-2019 0.6322466 592.946861
SO (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.2189102 8.191013 0.5097759 2000-2012 –> 2013-2019 0.8421279 762.024825
SO (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.2184077 8.057704 0.5078394 2000-2012 –> 2013-2019 0.8452794 766.463223
SO (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.2184035 8.056590 0.5075498 2000-2012 –> 2013-2019 0.8427778 763.340398
SO (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.2728039 121.223103 1.0234376 1982-1999 –> 2000-2012 0.5076779 128.257536
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3930254 447.641317 1.6141906 1982-1999 –> 2000-2012 0.5913632 415.111653
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.2771201 135.257025 1.0621031 1982-1999 –> 2000-2012 0.5280328 157.748530
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2765862 135.532843 1.0523955 1982-1999 –> 2000-2012 0.4747516 104.799642
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.2770107 134.903865 1.0476915 1982-1999 –> 2000-2012 0.5146320 144.659509
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.2398721 8.212303 0.7971864 1982-1999 –> 2000-2012 0.4673778 9.788239
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.2761530 132.131607 1.0432128 1982-1999 –> 2000-2012 0.5144789 142.580027
SO (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.2759918 131.609710 1.0414758 1982-1999 –> 2000-2012 0.5215981 149.099395
SO (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.2761374 132.081123 1.0422328 1982-1999 –> 2000-2012 0.5140386 142.112223
SO (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 0.2754314 127.792439 1.0511683 1982-1999 –> 2000-2012 0.5536961 172.495386
SO (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.0721226 -82.835929 0.1504494 2000-2012 –> 2013-2019 0.3449265 38.387174
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.0930790 -62.429455 0.2371762 2000-2012 –> 2013-2019 0.3701991 72.827570
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.0709866 -82.106045 0.1533121 2000-2012 –> 2013-2019 0.3475728 53.426798
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.0785155 -76.041640 0.2019224 2000-2012 –> 2013-2019 0.4588407 342.234083
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.0790024 -75.547088 0.1685600 2000-2012 –> 2013-2019 0.3560130 59.356777
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.0643600 -89.945919 0.1630450 2000-2012 –> 2013-2019 0.3042321 -81.733616
SO (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.0846246 -70.047376 0.1859324 2000-2012 –> 2013-2019 0.3607775 62.084230
SO (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.0838594 -70.773966 0.1822010 2000-2012 –> 2013-2019 0.3598513 60.835744
SO (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.0845601 -70.108379 0.1851361 2000-2012 –> 2013-2019 0.3606974 61.972744
SO (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 0.0854129 -71.305548 0.1980551 2000-2012 –> 2013-2019 0.3608443 56.486890
SO (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.7038497 8223.118392 3.8286933 1982-1999 –> 2000-2012 1.6522082 10344.824284
SO (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.6988042 8169.779974 3.7107302 1982-1999 –> 2000-2012 1.6189797 10246.845882
SO (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.6588085 7716.431877 4.2088150 1982-1999 –> 2000-2012 1.6261662 9870.803831
SO (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.6596991 7728.822857 4.1247483 1982-1999 –> 2000-2012 1.6447956 9913.287509
SO (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 0.6944763 8121.993443 5.4233858 1982-1999 –> 2000-2012 1.5675818 10117.881856
SO (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 0.6935477 8111.701492 5.4457532 1982-1999 –> 2000-2012 1.6368535 10227.148422
SO (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6629264 7766.360402 4.2402970 1982-1999 –> 2000-2012 1.6782999 9997.626054
SO (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6604945 7738.091568 4.0510729 1982-1999 –> 2000-2012 1.6869130 9986.083343
SO (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.6634064 7773.928417 3.8005284 1982-1999 –> 2000-2012 1.4821427 9674.417792
SO (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.6868603 8039.172848 4.2347867 1982-1999 –> 2000-2012 1.4520862 9833.166660
SO (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.2544225 50.430423 1.1643276 2000-2012 –> 2013-2019 0.9141216 7779.253280
SO (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.2535599 47.964846 1.1645350 2000-2012 –> 2013-2019 0.9164863 7814.325248
SO (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.2570553 57.904561 1.1605842 2000-2012 –> 2013-2019 0.9175498 7795.996129
SO (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 0.2535231 49.859399 1.1628884 2000-2012 –> 2013-2019 0.9169295 7823.787816
SO (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.2772289 112.755346 1.4873358 2000-2012 –> 2013-2019 0.9195659 7636.426903
SO (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.2562532 55.635621 1.2006770 2000-2012 –> 2013-2019 0.9218679 7853.126361
SO (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 0.2450875 25.291787 0.9359109 2000-2012 –> 2013-2019 0.8884948 7563.769036
SO (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.2542452 49.924165 1.1726494 2000-2012 –> 2013-2019 0.9176501 7821.834957
SO (28.2, Inf] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.2718369 96.495964 1.2479345 2000-2012 –> 2013-2019 0.9142812 7619.452328
SO (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2522369 44.166860 1.1582566 2000-2012 –> 2013-2019 0.8953730 7577.401323

5.3.2 per fitting unit

lm_best %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab eras rmse_sum_mean ais_sum_mean
Atlantic (-Inf,26] 1982-1999 –> 2000-2012 2.4068960 342.04893
Atlantic (26,26.5] 1982-1999 –> 2000-2012 7.3281597 3930.61879
Atlantic (26,26.5] 2000-2012 –> 2013-2019 4.5066211 2286.80273
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.8912183 4986.67245
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 5.0638266 3429.99867
Atlantic (26.75,27] 1982-1999 –> 2000-2012 4.5045041 7548.33534
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.2056828 5176.82474
Atlantic (27,27.25] 1982-1999 –> 2000-2012 3.7648122 8506.95388
Atlantic (27,27.25] 2000-2012 –> 2013-2019 3.5839729 6073.32921
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 4.6707320 14837.26076
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 6.1431323 12752.03644
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 3.2780143 23192.27593
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 4.1967283 19279.29625
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 1.5068027 5308.18140
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 1.3083195 4211.06265
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 1.3688010 4677.63825
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 1.0257403 3066.16228
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 6.6025796 13176.16862
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 3.8447825 7682.47589
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 0.5609688 467.33363
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 0.5629025 571.88378
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 0.5075240 173.14578
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 0.4639255 -26.87825
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 0.6840342 2543.08340
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 0.5819964 1527.43647
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 0.8526626 3942.00978
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 0.5849695 1775.25491
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 11.2226719 23645.02730
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 11.2683422 29936.71760
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 8.9045931 24142.97501
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 9.2911667 24117.45510
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 8.5202171 20461.74357
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.6423092 21229.30567
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 7.6144319 27442.48286
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 8.5283641 28251.12721
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 7.9793442 32197.04062
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 9.1643689 35796.61026
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 5.5382796 35255.08879
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 6.8773382 40627.58608
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 3.6551959 31030.49727
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 3.9671401 34868.28601
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 2.9145643 11015.79812
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 3.2177779 12052.42817
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 3.3247222 13708.38359
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 3.5902892 15205.38633
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 1.4909626 9168.03679
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 1.1397706 7986.63279
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 1.2200385 4335.68689
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 0.9300755 3463.61597
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 1.6451150 59681.97499
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 1.3791810 57757.51853
SO (26,26.5] 1982-1999 –> 2000-2012 1.2731256 81.44841
SO (26,26.5] 2000-2012 –> 2013-2019 0.4904285 -205.19532
SO (26.5,26.75] 1982-1999 –> 2000-2012 3.5566266 401.55414
SO (26.5,26.75] 2000-2012 –> 2013-2019 3.5879208 336.18765
SO (26.75,27] 1982-1999 –> 2000-2012 3.6870002 1444.71312
SO (26.75,27] 2000-2012 –> 2013-2019 2.8817217 1062.13978
SO (27,27.25] 1982-1999 –> 2000-2012 2.8590956 3730.55888
SO (27,27.25] 2000-2012 –> 2013-2019 3.0417268 3759.58203
SO (27.25,27.5] 1982-1999 –> 2000-2012 2.5910751 5509.83801
SO (27.25,27.5] 2000-2012 –> 2013-2019 3.2260289 6074.18661
SO (27.5,27.75] 1982-1999 –> 2000-2012 2.3605306 8849.09077
SO (27.5,27.75] 2000-2012 –> 2013-2019 3.1179432 9548.94390
SO (27.75,27.85] 1982-1999 –> 2000-2012 2.5986543 4030.34528
SO (27.75,27.85] 2000-2012 –> 2013-2019 2.8158842 4226.84261
SO (27.85,27.95] 1982-1999 –> 2000-2012 3.4292692 5595.52393
SO (27.85,27.95] 2000-2012 –> 2013-2019 3.0317724 5505.43341
SO (27.95,28.05] 1982-1999 –> 2000-2012 3.7368633 8172.70695
SO (27.95,28.05] 2000-2012 –> 2013-2019 2.9389702 7643.38576
SO (28.05,28.1] 1982-1999 –> 2000-2012 2.9074018 4341.24883
SO (28.05,28.1] 2000-2012 –> 2013-2019 2.3150078 3984.94089
SO (28.1, Inf] 1982-1999 –> 2000-2012 2.1873867 34130.97140
SO (28.1, Inf] 2000-2012 –> 2013-2019 2.4582351 37574.36128
SO (28.1,28.15] 1982-1999 –> 2000-2012 0.9701533 827.67937
SO (28.1,28.15] 2000-2012 –> 2013-2019 0.8226951 747.65430
SO (28.15,28.2] 1982-1999 –> 2000-2012 0.5187647 156.66521
SO (28.15,28.2] 2000-2012 –> 2013-2019 0.3623955 72.58784
SO (28.2, Inf] 1982-1999 –> 2000-2012 1.6046027 10021.20856
SO (28.2, Inf] 2000-2012 –> 2013-2019 0.9122320 7728.53734

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
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
            
            # plot model diagnostics vs predictors
            
            p_model_predictors <- ggnostic(
              i_lm_fit,
              columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
              title = paste(
                "era:",
                i_era,
                "| eras:",
                i_eras,
                "| basin:",
                i_basin,
                "| gamma slab:",
                i_gamma_slab,
                "| predictors:",
                i_predictors
              )
            )
            
            ggsave(
              plot = p_model_predictors,
              path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
              filename = paste(
                "MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_predictors)
            
            
            # plot model diagnostics vs location
            
            GLODAP_basin_era_slab <- GLODAP_basin_era_slab %>%
              mutate(fitted = i_lm_fit$fitted.values,
                     residuals = i_lm_fit$residuals)
            
            GLODAP_basin_era_slab_long <- GLODAP_basin_era_slab %>% 
              pivot_longer(cols = c(params_local$MLR_target , fitted, residuals),
                           names_to = "estimate",
                           values_to = "value"
              ) %>% 
              pivot_longer(cols = c(lat, lon, depth),
                           names_to = "coordinate_type",
                           values_to = "coordinate_value"
              )

             p_model_coordinate <- GLODAP_basin_era_slab_long %>%
              ggplot(aes(coordinate_value, value)) +
              geom_bin2d() +
              scale_fill_viridis_c() +
              labs(
                title = paste(
                  "era:",
                  i_era,
                  "| eras:",
                  i_eras,
                  "| basin:",
                  i_basin,
                  "| gamma slab:",
                  i_gamma_slab,
                  "| predictors:",
                  i_predictors
                )
              ) +
              facet_grid(estimate~coordinate_type,
                         scales = "free")

            ggsave(
              plot = p_model_coordinate,
              path = paste(path_version_figures, "eMLR_diagnostics", sep = ""),
              filename = paste(
                "Location_MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_coordinate)
            
          }
          
        }
        
      }
    }
  }
  
  rm(
    lm_best_plot,
    lm_best_basin_era_slab,
    i_rmse,
    GLODAP_basin_era,
    GLODAP_basin_era_slab,
    i_lm,
    lm_all_fitted,
    i_basin,
    i_era,
    i_gamma_slab,
    i_predictors,
    lm_all,
    i_aic,
    i_n_predictors,
    i_resid_max
  )
  
}

Individual residual plots of the MLR models for each basin, era, eras and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/eMLR_diagnostics/

5.6 Cant coeffcients

A data frame of coefficient offsets is prepared to facilitate the direct mapping of Cant.

# pivot long format
lm_best_long <- lm_best_target %>%
  pivot_longer(cols = starts_with("coeff_"),
               names_to = "term",
               values_to = "estimate",
               names_prefix = "coeff_")

# subtract coefficients of adjacent era  
lm_best_long <- lm_best_long %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, eras, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term, eras) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot back to wide format
lm_best_cant <- lm_best_long %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

5.7 Write files

lm_best_target %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    era,
    starts_with("coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

lm_best_cant %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    starts_with("delta_coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_cant.csv",
                  sep = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 6).

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
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
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
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
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] 8 3 6 9 8 7 10
(26,26.5] 7 4 5 9 8 9 9
(26.5,26.75] 9 2 7 8 6 10 8
(26.75,27] 9 2 7 8 6 10 8
(27,27.25] 9 4 5 8 9 9 7
(27.25,27.5] 9 2 7 8 10 6 8
(27.5,27.75] 6 4 4 10 10 5 10
(27.75,27.85] 10 4 6 6 10 5 8
(27.85,27.95] 8 2 7 8 10 7 8
(27.95,28.05] 7 6 3 9 2 3 9
(28.05,28.1] 8 4 5 8 9 9 8
(28.1,28.15] 8 4 5 8 9 9 8
(28.15,28.2] 10 10 0 6 8 5 6
(28.2, Inf] 9 8 1 5 8 6 5
total 117.00 59.00 68.00 110.00 113.00 100.00 112.00
Atlantic - 2000-2012 --> 2013-2019
(26,26.5] 8 5 4 8 9 9 9
(26.5,26.75] 9 2 7 8 6 10 8
(26.75,27] 9 3 5 8 9 10 6
(27,27.25] 10 6 3 7 8 9 8
(27.25,27.5] 7 7 1 7 8 10 8
(27.5,27.75] 6 4 4 8 10 3 9
(27.75,27.85] 10 7 3 7 10 5 6
(27.85,27.95] 9 2 7 8 10 6 8
(27.95,28.05] 5 8 1 10 4 4 10
(28.05,28.1] 8 5 5 8 9 8 7
(28.1,28.15] 7 2 6 9 8 10 8
(28.15,28.2] 10 10 0 6 8 6 5
(28.2, Inf] 10 10 0 6 8 5 6
total 108.00 71.00 46.00 100.00 107.00 95.00 98.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 9 1 7 8 10 6 8
(26,26.5] 9 3 6 9 9 7 8
(26.5,26.75] 7 2 7 9 8 5 8
(26.75,27] 10 4 6 10 6 5 8
(27,27.25] 10 0 10 8 5 5 5
(27.25,27.5] 8 1 7 8 9 10 5
(27.5,27.75] 9 3 5 9 8 10 7
(27.75,27.85] 10 2 7 9 6 8 8
(27.85,27.95] 8 3 4 4 5 9 8
(27.95,28.05] 7 3 5 8 9 10 9
(28.05,28.1] 7 2 6 8 9 10 8
(28.1, Inf] 7 3 5 9 8 10 9
total 101.00 27.00 75.00 99.00 92.00 95.00 91.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 10 4 5 7 10 6 8
(26,26.5] 9 2 7 8 6 10 8
(26.5,26.75] 7 1 7 9 8 8 9
(26.75,27] 10 2 8 9 6 7 7
(27,27.25] 8 2 8 8 8 5 4
(27.25,27.5] 8 1 7 8 8 10 5
(27.5,27.75] 9 4 4 9 8 10 6
(27.75,27.85] 8 1 8 8 8 9 8
(27.85,27.95] 8 4 4 4 5 8 8
(27.95,28.05] 8 3 6 9 7 10 8
(28.05,28.1] 7 4 5 9 7 10 9
(28.1, Inf] 6 4 3 9 2 10 8
total 98.00 32.00 72.00 97.00 83.00 103.00 88.00
SO - 1982-1999 --> 2000-2012
(26,26.5] 8 4 6 9 9 7 8
(26.5,26.75] 7 6 3 9 8 7 10
(26.75,27] 9 5 4 10 6 6 10
(27,27.25] 7 2 6 9 8 8 10
(27.25,27.5] 8 8 2 8 8 5 10
(27.5,27.75] 10 9 1 7 8 7 6
(27.75,27.85] 10 6 4 10 6 6 7
(27.85,27.95] 6 2 6 7 8 5 7
(27.95,28.05] 8 3 6 7 9 5 7
(28.05,28.1] 7 3 6 5 9 2 9
(28.1, Inf] 8 6 3 9 8 8 9
(28.1,28.15] 7 3 5 8 10 9 9
(28.15,28.2] 7 4 4 8 10 9 9
(28.2, Inf] 8 9 1 7 9 7 4
total 110.00 70.00 57.00 113.00 116.00 91.00 115.00
SO - 2000-2012 --> 2013-2019
(26,26.5] 6 3 4 8 8 1 9
(26.5,26.75] 9 5 4 9 8 7 9
(26.75,27] 8 3 6 9 8 7 10
(27,27.25] 8 3 6 8 8 8 10
(27.25,27.5] 8 7 2 8 6 8 10
(27.5,27.75] 9 9 1 8 7 8 7
(27.75,27.85] 10 8 2 10 6 5 6
(27.85,27.95] 9 4 5 10 6 8 6
(27.95,28.05] 7 3 5 9 10 9 8
(28.05,28.1] 8 4 5 9 10 8 7
(28.1, Inf] 7 7 2 9 7 8 10
(28.1,28.15] 8 4 5 8 10 9 8
(28.15,28.2] 7 3 5 8 10 9 9
(28.2, Inf] 9 5 5 8 8 7 9
total 113.00 68.00 57.00 121.00 112.00 102.00 118.00

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
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
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_0.7.3      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            MASS_7.3-53              plyr_1.8.6              
[55] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[58] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[61] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[64] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[67] RcppArmadillo_0.10.1.2.2 data.table_1.13.6        modelr_0.1.8            
[70] vctrs_0.3.6              httpuv_1.5.4             cellranger_1.1.0        
[73] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[76] xfun_0.20                openxlsx_4.2.3           RcppEigen_0.3.3.9.1     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_1.0.1