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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, silicate_star, 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")
  )) %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "silicate_star")) %>%
  filter(!(
    str_detect(lm_coeff_filter, "nitrate") &
      str_detect(lm_coeff_filter, "silicate")
  )) %>%
  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: 5
lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

  • 142

4 Fit all models

Individual linear regression models were fitted for the chosen target variable:

  • cstar_tref

as a function of each predictor combination. Fitting was performed separately within each basin, era, and slab. Model diagnostics, such as the root mean squared error (RMSE), were calculated for each fitted model.

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # number of observations used for each fitting model
      i_nr_obs = nrow(GLODAP_basin_era_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        #i_predictors <- unique(lm_all$predictors)[1]
        
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        if (i_nr_obs > i_n_predictors) {
          # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
          
          # find max predictor correlation
          i_cor_max <- GLODAP_basin_era_slab %>%
            select(!!!syms(str_split(i_predictors, " ",
                                     simplify = TRUE))) %>%
            correlate(quiet = TRUE) %>%
            select(-term) %>%
            abs() %>%
            max(na.rm = TRUE)
          
          # calculate root mean squared error
          i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                           length(i_lm_fit$residuals))
          
          # calculate maximum residual
          i_resid_max <- max(abs(i_lm_fit$residuals))
          
          # calculate Akaike information criterion aic
          i_aic <- AIC(i_lm_fit)
          
          # collect model coefficients and diagnostics
          coefficients <- tidy(i_lm_fit)
          
          coefficients <- coefficients %>%
            mutate(
              basin = i_basin,
              era = i_era,
              gamma_slab = i_gamma_slab,
              model = i_lm,
              nr_obs = i_nr_obs,
              rmse = i_rmse,
              aic = i_aic,
              resid_max = i_resid_max,
              n_predictors = i_n_predictors,
              na_predictor = anyNA(coefficients$estimate),
              cor_max = i_cor_max
            )
          
          if (exists("lm_all_fitted")) {
            lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
          }
          
          if (!exists("lm_all_fitted")) {
            lm_all_fitted <- coefficients
          }
        }
      }
    }
  }
}

rm(
  i_lm_fit,
  coefficients,
  i_rmse,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  i_lm,
  i_basin,
  i_era,
  i_gamma_slab,
  i_nr_obs,
  i_predictors,
  i_aic,
  i_n_predictors,
  i_resid_max
)

5 Prepare coeffcients

Coefficients are prepared for the mapping of Cant and the chosen target variable.

5.1 Formatting

# select relevant columns
lm_all_fitted <- lm_all_fitted %>%
  select(
    basin,
    gamma_slab,
    era,
    model,
    nr_obs,
    n_predictors,
    term,
    estimate,
    rmse,
    aic,
    resid_max,
    na_predictor,
    cor_max
  )

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(na_predictor == FALSE)
# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide  %>%
  select(basin, gamma_slab, model, era, nr_obs, rmse, aic, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    aic_sum = aic + lag(aic)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na()

# subset models with lowest summed criterion
# chose which criterion is applied

if (params_local$MLR_criterion == "aic") {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
} else {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = rmse_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
}

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 158 1.0492038 475.5626 4.357844 1982-1999 –> 2000-2012 2.3855522 1198.4564
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 158 1.0480832 477.2249 4.299021 1982-1999 –> 2000-2012 2.3837757 1201.9145
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 158 1.0475856 477.0748 4.332795 1982-1999 –> 2000-2012 2.3832111 1201.7435
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 158 1.0458289 476.5445 4.199297 1982-1999 –> 2000-2012 2.3833703 1201.8095
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 158 1.0547002 477.2137 4.547311 1982-1999 –> 2000-2012 2.3926132 1200.5942
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 158 1.0447877 476.2297 3.991338 1982-1999 –> 2000-2012 2.3809752 1201.0734
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 158 1.0538228 478.9507 4.496846 1982-1999 –> 2000-2012 2.3907671 1204.0299
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 158 1.0553928 479.4211 4.540758 1982-1999 –> 2000-2012 2.3925975 1204.5814
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 158 1.0526259 478.5916 4.517948 1982-1999 –> 2000-2012 2.3894622 1203.6372
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 158 1.0538067 478.9458 4.549395 1982-1999 –> 2000-2012 2.3908937 1204.0695
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 72 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.2417197 721.0407
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 72 1.2456464 249.9574 3.695592 2000-2012 –> 2013-2019 2.2932320 727.0322
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 72 1.1377961 236.9166 2.786570 2000-2012 –> 2013-2019 2.1836250 713.4610
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 72 1.2083604 245.5812 2.691226 2000-2012 –> 2013-2019 2.2954998 734.3676
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 72 1.1990801 244.4710 3.379652 2000-2012 –> 2013-2019 2.2529029 723.4217
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 72 1.2012446 244.7307 3.425080 2000-2012 –> 2013-2019 2.2566374 724.1518
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + silicate_star 72 1.2083604 245.5812 2.691226 2000-2012 –> 2013-2019 2.2954998 734.3676
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 72 1.2504276 250.5091 3.814999 2000-2012 –> 2013-2019 2.3030535 729.1006
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 72 1.2519583 250.6852 3.843450 2000-2012 –> 2013-2019 2.3057650 729.6311
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 72 1.2024324 244.8730 3.445295 2000-2012 –> 2013-2019 2.2595421 724.8078
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1046 3.5518213 5633.9468 13.477555 1982-1999 –> 2000-2012 6.9985663 13749.8718
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 1046 3.4447540 5567.9148 15.626500 1982-1999 –> 2000-2012 6.8794929 13671.1971
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1046 3.3758183 5527.6256 14.515788 1982-1999 –> 2000-2012 6.7415640 13571.0193
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 1046 3.3139957 5488.9589 14.956164 1982-1999 –> 2000-2012 6.6524475 13507.5183
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 1046 3.6117860 5668.9708 14.137864 1982-1999 –> 2000-2012 7.1481878 13863.2182
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1046 3.6195773 5673.4788 14.246703 1982-1999 –> 2000-2012 7.1670157 13877.2298
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + silicate_star 1046 3.3139957 5488.9589 14.956164 1982-1999 –> 2000-2012 6.6524475 13507.5183
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 1046 3.6517421 5691.9869 14.822106 1982-1999 –> 2000-2012 7.2653962 13952.1438
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1046 3.6210378 5674.3227 14.283746 1982-1999 –> 2000-2012 7.1729019 13881.8766
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 1046 3.6517421 5691.9869 14.822106 1982-1999 –> 2000-2012 7.2653962 13952.1438
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 567 3.6070302 3077.8676 10.902628 2000-2012 –> 2013-2019 7.1588515 8711.8144
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 567 3.3369968 2987.6271 10.231047 2000-2012 –> 2013-2019 6.7817508 8555.5419
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 567 3.2984682 2976.4579 9.956192 2000-2012 –> 2013-2019 6.6742865 8504.0835
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 567 3.1723161 2932.2362 9.432214 2000-2012 –> 2013-2019 6.4863118 8421.1950
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 567 3.6470365 3090.3758 10.325180 2000-2012 –> 2013-2019 7.2588226 8759.3466
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 567 3.6519756 3091.9105 10.331554 2000-2012 –> 2013-2019 7.2715530 8765.3893
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + silicate_star 567 3.1723161 2932.2362 9.432214 2000-2012 –> 2013-2019 6.4863118 8421.1950
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 567 3.6275476 3084.2997 10.377524 2000-2012 –> 2013-2019 7.2792897 8776.2866
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 567 3.6516653 3091.8142 10.332889 2000-2012 –> 2013-2019 7.2727031 8766.1369
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 567 3.6275476 3084.2997 10.377524 2000-2012 –> 2013-2019 7.2792897 8776.2866
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1397 3.3429532 7348.4661 10.697715 1982-1999 –> 2000-2012 6.4415667 17034.7612
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 1397 3.2423787 7265.1167 9.560288 1982-1999 –> 2000-2012 6.2982027 16900.6544
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1397 3.2700730 7288.8799 10.507891 1982-1999 –> 2000-2012 6.3292231 16928.5449
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1397 3.3033338 7317.1548 9.343758 1982-1999 –> 2000-2012 6.4439101 17056.4852
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1397 3.2846060 7301.2695 10.500101 1982-1999 –> 2000-2012 6.3669620 16969.6063
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1397 3.3014232 7315.5384 10.543653 1982-1999 –> 2000-2012 6.4059223 17011.0331
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1397 3.3059150 7319.3372 10.550809 1982-1999 –> 2000-2012 6.4173056 17023.2446
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 1397 3.3250708 7335.4800 10.297171 1982-1999 –> 2000-2012 6.4698137 17079.8406
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1397 3.2249399 7250.0489 10.037456 1982-1999 –> 2000-2012 6.2079736 16794.1190
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 1397 3.2989930 7313.4809 9.947012 1982-1999 –> 2000-2012 6.4141750 17022.0087
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 656 3.3433340 3459.1900 9.454244 2000-2012 –> 2013-2019 6.5857127 10724.3067
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 656 3.3850399 3473.4551 10.375376 2000-2012 –> 2013-2019 6.7166909 10812.4589
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 656 3.3455096 3460.0435 10.735554 2000-2012 –> 2013-2019 6.6155826 10748.9234
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 656 3.3807232 3473.7810 10.074129 2000-2012 –> 2013-2019 6.6840570 10790.9358
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 656 3.3565540 3464.3677 10.767824 2000-2012 –> 2013-2019 6.6411600 10765.6372
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 656 3.3723676 3470.5343 10.887326 2000-2012 –> 2013-2019 6.6737908 10786.0727
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 656 3.3762721 3472.0524 10.919163 2000-2012 –> 2013-2019 6.6821871 10791.3896
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 656 3.4093443 3484.8416 9.603997 2000-2012 –> 2013-2019 6.7344151 10820.3216
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 656 3.3238240 3451.5114 11.113656 2000-2012 –> 2013-2019 6.5487639 10701.5603
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 656 3.3892046 3477.0684 9.580435 2000-2012 –> 2013-2019 6.6881976 10790.5493
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2398 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.7661002 22513.8376
Atlantic (26.75,27] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2398 2.0422179 10243.7478 13.072427 1982-1999 –> 2000-2012 3.6820169 22274.6044
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2398 2.0001820 10143.9994 14.081577 1982-1999 –> 2000-2012 3.6531709 22225.1681
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2398 2.0669164 10301.4026 14.196373 1982-1999 –> 2000-2012 3.7902516 22644.2987
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2398 2.1361037 10459.3140 22.290539 1982-1999 –> 2000-2012 3.8999248 22948.0383
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2398 2.1629225 10519.1528 25.264079 1982-1999 –> 2000-2012 3.9413088 23059.5230
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 2398 2.1989701 10598.4250 16.309198 1982-1999 –> 2000-2012 3.9946362 23199.5206
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2398 2.2004206 10599.5875 15.280820 1982-1999 –> 2000-2012 3.9880121 23170.3800
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2398 2.0860637 10345.6268 19.975942 1982-1999 –> 2000-2012 3.5995129 21872.9381
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 2398 2.1370107 10461.3499 13.373762 1982-1999 –> 2000-2012 3.8855808 22895.5375
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1263 2.6364762 6045.0524 27.471250 2000-2012 –> 2013-2019 4.7300390 16405.8891
Atlantic (26.75,27] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 1263 2.5145378 5927.4356 22.300060 2000-2012 –> 2013-2019 4.5567556 16171.1833
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 1263 2.5846959 5994.9482 24.744636 2000-2012 –> 2013-2019 4.7623441 16544.6427
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1263 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.5332582 16089.9896
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1263 2.5534340 5966.2100 22.124060 2000-2012 –> 2013-2019 4.7278634 16510.8101
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1263 2.5653762 5977.9963 25.592327 2000-2012 –> 2013-2019 4.6322925 16279.3988
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1263 2.5985873 6010.4878 25.748151 2000-2012 –> 2013-2019 4.7346911 16469.8018
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1263 2.6096389 6021.2079 25.770703 2000-2012 –> 2013-2019 4.7725614 16540.3607
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1263 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.3413155 15998.1644
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 1263 2.6260789 6037.0711 22.609023 2000-2012 –> 2013-2019 4.7630896 16498.4210
Atlantic (27,27.25] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2031 1.9602837 8511.8166 15.249340 1982-1999 –> 2000-2012 3.7044185 18840.2962
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2031 1.9148200 8414.4995 9.235730 1982-1999 –> 2000-2012 3.6311952 18657.1971
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2031 1.8904789 8364.5325 9.689213 1982-1999 –> 2000-2012 3.4604645 18143.6984
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 2031 1.8626152 8304.2173 11.021443 1982-1999 –> 2000-2012 3.5644105 18504.3667
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2031 1.8979717 8380.6003 9.355072 1982-1999 –> 2000-2012 3.4547428 18115.6267
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2031 1.9187787 8424.8886 8.642107 1982-1999 –> 2000-2012 3.5002075 18241.9782
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2031 1.9234272 8434.7175 8.493771 1982-1999 –> 2000-2012 3.5167839 18291.0461
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 2031 2.0594140 8712.2044 13.384239 1982-1999 –> 2000-2012 3.7359927 18834.3973
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 2031 2.0463518 8686.3583 13.496221 1982-1999 –> 2000-2012 3.7135284 18779.1843
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 2031 2.0594140 8712.2044 13.384239 1982-1999 –> 2000-2012 3.7359927 18834.3973
Atlantic (27,27.25] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 1142 2.4331867 5285.7925 20.133740 2000-2012 –> 2013-2019 4.3934703 13797.6091
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 1142 2.2408412 5097.7041 11.555324 2000-2012 –> 2013-2019 4.3317934 13871.6430
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1142 2.3003827 5155.6000 13.777336 2000-2012 –> 2013-2019 4.2152027 13570.0995
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1142 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.1851737 13516.4782
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1142 2.1593133 5013.0566 10.465472 2000-2012 –> 2013-2019 4.0219286 13317.2739
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 1142 2.2408412 5097.7041 11.555324 2000-2012 –> 2013-2019 4.3317934 13871.6430
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1142 2.2882847 5145.5566 14.231726 2000-2012 –> 2013-2019 4.1862565 13526.1569
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1142 2.3093184 5166.4549 14.219293 2000-2012 –> 2013-2019 4.2280971 13591.3435
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1142 2.3127467 5169.8432 14.213647 2000-2012 –> 2013-2019 4.2361739 13604.5606
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 1142 2.3856862 5240.7635 15.221464 2000-2012 –> 2013-2019 4.4201181 13903.3917
Atlantic (27.25,27.5] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2025 2.2571186 9057.7617 21.333316 1982-1999 –> 2000-2012 3.9135961 20144.1869
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2025 2.6905754 9769.2091 21.422922 1982-1999 –> 2000-2012 4.8576234 22402.1133
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 2025 2.1625100 8884.3428 12.574713 1982-1999 –> 2000-2012 3.8613513 20116.1247
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + silicate_star 2025 2.1625100 8884.3428 12.574713 1982-1999 –> 2000-2012 3.8613513 20116.1247
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate_star 2025 2.4063497 9315.0504 11.614926 1982-1999 –> 2000-2012 4.1264292 20616.3452
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 2025 2.2547324 9053.4778 15.509020 1982-1999 –> 2000-2012 3.9706310 20342.7650
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + silicate_star 2025 2.4063497 9315.0504 11.614926 1982-1999 –> 2000-2012 4.1264292 20616.3452
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 2025 2.2664591 9074.4871 13.372191 1982-1999 –> 2000-2012 3.9854665 20374.1931
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 2025 2.2547324 9053.4778 15.509020 1982-1999 –> 2000-2012 3.9706310 20342.7650
Atlantic (27.25,27.5] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 2025 2.3326197 9191.0186 10.601623 1982-1999 –> 2000-2012 4.1616629 20847.8613
Atlantic (27.25,27.5] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 1109 2.7884162 5435.7065 20.513112 2000-2012 –> 2013-2019 5.0455349 14493.4682
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 1109 2.7952620 5441.1451 16.992150 2000-2012 –> 2013-2019 5.2467264 14833.4228
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1109 2.9863807 5587.8356 14.517111 2000-2012 –> 2013-2019 5.4698972 15032.7224
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 1109 2.7952620 5441.1451 16.992150 2000-2012 –> 2013-2019 5.2467264 14833.4228
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 1109 2.8205406 5461.1132 14.090309 2000-2012 –> 2013-2019 4.9830506 14345.4560
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + silicate_star 1109 2.8205406 5461.1132 14.090309 2000-2012 –> 2013-2019 4.9830506 14345.4560
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 1109 2.7923328 5438.8197 16.610907 2000-2012 –> 2013-2019 5.0470652 14492.2975
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 1109 2.8123363 5454.6522 14.111336 2000-2012 –> 2013-2019 5.0787954 14529.1392
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 1109 2.7923328 5438.8197 16.610907 2000-2012 –> 2013-2019 5.0470652 14492.2975
Atlantic (27.25,27.5] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 1109 2.8746758 5503.2804 14.300893 2000-2012 –> 2013-2019 5.2072955 14694.2990
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2804 2.3944064 12867.9502 14.685866 1982-1999 –> 2000-2012 4.4949743 29021.3907
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 2804 2.3858262 12847.8183 14.889428 1982-1999 –> 2000-2012 4.4857148 28998.8431
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2804 2.3920617 12862.4560 14.587684 1982-1999 –> 2000-2012 4.4588552 28894.8448
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2804 2.4132697 12911.9574 14.216479 1982-1999 –> 2000-2012 4.4797512 28943.2189
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 2804 2.3839660 12843.4441 14.796406 1982-1999 –> 2000-2012 4.4516637 28879.0996
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 2804 2.4092938 12902.7105 14.400897 1982-1999 –> 2000-2012 4.4794481 28947.2331
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 2804 2.4148672 12915.6685 14.181558 1982-1999 –> 2000-2012 4.4833272 28954.0764
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2804 2.4122515 12909.5908 14.214259 1982-1999 –> 2000-2012 4.4796273 28944.0833
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 2804 2.4148672 12915.6685 14.181558 1982-1999 –> 2000-2012 4.4833272 28954.0764
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 2804 2.4048587 12892.3776 14.428218 1982-1999 –> 2000-2012 4.4743063 28934.3505
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1515 2.8711798 7509.1946 15.461950 2000-2012 –> 2013-2019 5.2655862 20377.1448
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1515 2.7078202 7331.6999 19.383046 2000-2012 –> 2013-2019 5.0921815 20176.0738
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate_star + phosphate 1515 2.8460603 7480.5689 15.954890 2000-2012 –> 2013-2019 5.2858574 20451.8349
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 1515 2.8440453 7480.4229 15.889857 2000-2012 –> 2013-2019 5.2298715 20328.2412
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1515 2.8690598 7506.9564 15.594453 2000-2012 –> 2013-2019 5.2611214 20369.4124
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1515 2.8670393 7504.8218 16.960962 2000-2012 –> 2013-2019 5.2803090 20416.7793
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 1515 2.8424715 7478.7457 15.993945 2000-2012 –> 2013-2019 5.2264375 20322.1898
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 1515 2.8433554 7479.6878 17.498076 2000-2012 –> 2013-2019 5.2526492 20382.3983
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1515 2.8660787 7503.8064 16.855872 2000-2012 –> 2013-2019 5.2783302 20413.3972
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 1515 2.8404338 7476.5728 17.250180 2000-2012 –> 2013-2019 5.2452924 20368.9504
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1036 1.5641536 3880.9392 12.798383 1982-1999 –> 2000-2012 3.1611985 8876.8661
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1036 1.6095022 3940.1571 13.113728 1982-1999 –> 2000-2012 3.2728806 9043.5207
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 1036 1.5578540 3872.5773 12.740813 1982-1999 –> 2000-2012 3.1520469 8863.7855
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1036 1.6216292 3955.7103 16.087961 1982-1999 –> 2000-2012 3.2308513 8971.6904
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1036 1.6994499 4052.8317 11.282662 1982-1999 –> 2000-2012 3.2672503 8999.9679
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1036 1.5917451 3917.1705 12.897616 1982-1999 –> 2000-2012 3.2211161 8966.0004
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 1036 1.5841944 3907.3182 12.836751 1982-1999 –> 2000-2012 3.2097653 8949.9838
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 1036 1.6314167 3968.1785 13.042515 1982-1999 –> 2000-2012 3.3062836 9089.7132
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 1036 1.6298056 3966.1312 13.022129 1982-1999 –> 2000-2012 3.3011800 9082.1552
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 1036 1.6298056 3966.1312 13.022129 1982-1999 –> 2000-2012 3.3011800 9082.1552
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 513 1.7475521 2042.5606 12.039326 2000-2012 –> 2013-2019 3.3117057 5923.4997
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 513 1.7344893 2034.8625 11.391059 2000-2012 –> 2013-2019 3.3439915 5975.0196
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 513 1.7382180 2037.0658 11.972402 2000-2012 –> 2013-2019 3.2960719 5909.6431
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 513 1.7754726 2058.8233 12.075398 2000-2012 –> 2013-2019 3.3672178 5975.9938
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 513 1.8242119 2086.6088 12.213063 2000-2012 –> 2013-2019 3.4614785 6062.2038
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 513 1.7649365 2052.7166 12.005839 2000-2012 –> 2013-2019 3.3491310 5960.0348
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 513 1.8166363 2082.3392 12.147681 2000-2012 –> 2013-2019 3.4480529 6050.5176
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 513 1.8185913 2083.4428 12.157352 2000-2012 –> 2013-2019 3.4483969 6049.5740
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 513 1.8185913 2083.4428 12.157352 2000-2012 –> 2013-2019 3.4483969 6049.5740
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 513 1.8153511 2081.6131 12.149152 2000-2012 –> 2013-2019 3.4476318 6050.8887
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 983 3.4332878 5226.7302 38.381356 1982-1999 –> 2000-2012 6.3108859 11854.3203
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 983 3.4269579 5225.1022 39.102145 1982-1999 –> 2000-2012 6.2927680 11843.7240
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate_star + phosphate + phosphate_star 983 3.4335770 5226.8958 38.391899 1982-1999 –> 2000-2012 6.3120415 11855.2903
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 983 3.4396213 5230.3536 36.781212 1982-1999 –> 2000-2012 6.1696286 11717.2584
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 983 3.4272905 5225.2930 34.214054 1982-1999 –> 2000-2012 6.1571686 11714.0714
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 983 3.4275839 5225.4613 34.223662 1982-1999 –> 2000-2012 6.1575457 11714.3215
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 983 2.9304503 4917.3900 22.456892 1982-1999 –> 2000-2012 5.6593028 11405.1644
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 983 3.0946626 5022.5819 23.332862 1982-1999 –> 2000-2012 6.0114682 11686.3324
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 983 3.0757549 5012.5332 23.130965 1982-1999 –> 2000-2012 5.9400103 11629.7050
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 983 3.0758688 5012.6060 23.140031 1982-1999 –> 2000-2012 5.9407219 11630.3353
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 569 3.4103854 3022.8793 30.447244 2000-2012 –> 2013-2019 6.8500067 8253.2329
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 569 3.3215129 2994.8304 29.207068 2000-2012 –> 2013-2019 6.7488034 8220.1234
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 569 3.3174363 2993.4329 29.173144 2000-2012 –> 2013-2019 6.7450201 8218.8941
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 569 3.2269879 2961.9750 29.065190 2000-2012 –> 2013-2019 7.0153766 8384.2037
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 569 3.3261262 2996.4099 29.121490 2000-2012 –> 2013-2019 6.2565764 7913.7999
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 569 3.3417360 3001.7382 29.366995 2000-2012 –> 2013-2019 7.0328338 8372.8178
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 569 3.3365402 2999.9674 29.328254 2000-2012 –> 2013-2019 7.0280184 8371.2496
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 569 3.6730463 3107.3144 22.693963 2000-2012 –> 2013-2019 6.7677089 8129.8962
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 569 3.6600265 3105.2733 23.151675 2000-2012 –> 2013-2019 6.7357814 8117.8065
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 569 3.6603862 3105.3852 23.147178 2000-2012 –> 2013-2019 6.7362550 8117.9912
Atlantic (27.95,28.05] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 1204 4.0178610 6779.7292 25.762442 1982-1999 –> 2000-2012 7.6900067 15910.2128
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1204 4.1624092 6864.8384 29.399782 1982-1999 –> 2000-2012 7.7397732 15907.6675
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + silicate_star + phosphate 1204 4.2522303 6914.2482 32.185459 1982-1999 –> 2000-2012 7.9298382 16047.7141
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + silicate_star + phosphate + phosphate_star 1204 4.1957717 6884.0621 30.223807 1982-1999 –> 2000-2012 7.7898469 15942.5131
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1204 3.9558395 6742.2684 22.787482 1982-1999 –> 2000-2012 7.7155699 15951.7623
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate 1204 4.2268913 6901.8560 32.270727 1982-1999 –> 2000-2012 7.9021464 16035.1768
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 1204 3.8590720 6682.6316 25.099675 1982-1999 –> 2000-2012 7.3908813 15682.5017
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 1204 3.9682210 6749.7934 25.265565 1982-1999 –> 2000-2012 7.6108086 15853.1867
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 1204 3.8590720 6682.6316 25.099675 1982-1999 –> 2000-2012 7.3908813 15682.5017
Atlantic (27.95,28.05] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 1204 3.9591041 6744.2548 25.125796 1982-1999 –> 2000-2012 7.5958976 15842.3119
Atlantic (27.95,28.05] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 666 3.5624057 3596.2470 28.359612 2000-2012 –> 2013-2019 7.5802666 10375.9761
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 666 3.4782139 3564.3893 31.711472 2000-2012 –> 2013-2019 7.6406231 10429.2278
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + silicate_star + phosphate 666 3.4911012 3567.3155 32.690239 2000-2012 –> 2013-2019 7.7433315 10481.5637
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + silicate_star + phosphate + phosphate_star 666 3.4861342 3567.4190 32.154120 2000-2012 –> 2013-2019 7.6819059 10451.4811
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 666 3.5357472 3586.2418 25.590197 2000-2012 –> 2013-2019 7.4915867 10328.5101
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate 666 3.4602252 3557.4826 32.737359 2000-2012 –> 2013-2019 7.6871165 10459.3386
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 666 3.5060655 3575.0128 26.986021 2000-2012 –> 2013-2019 7.3651375 10257.6443
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 666 3.5417278 3588.4929 27.962736 2000-2012 –> 2013-2019 7.5099488 10338.2863
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 666 3.5060655 3575.0128 26.986021 2000-2012 –> 2013-2019 7.3651375 10257.6443
Atlantic (27.95,28.05] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 666 3.5394291 3587.6281 27.891571 2000-2012 –> 2013-2019 7.4985332 10331.8828
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 804 1.0324411 2346.9902 6.945256 1982-1999 –> 2000-2012 1.9247967 5169.4535
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 804 1.0319223 2346.1819 6.940660 1982-1999 –> 2000-2012 1.9242150 5168.4935
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 804 1.0374154 2354.7189 6.772617 1982-1999 –> 2000-2012 1.9399611 5201.6173
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 804 0.9934328 2285.0583 8.087713 1982-1999 –> 2000-2012 1.8641000 5054.5716
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 804 1.0379653 2355.5710 6.801673 1982-1999 –> 2000-2012 1.9363554 5192.5380
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 804 1.0373453 2354.6103 6.797666 1982-1999 –> 2000-2012 1.9356081 5191.2722
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 804 1.0412160 2360.5991 6.747646 1982-1999 –> 2000-2012 1.9443274 5208.8459
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 804 1.0405396 2359.5542 6.743457 1982-1999 –> 2000-2012 1.9434738 5207.3787
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 804 1.0436142 2364.2985 12.188672 1982-1999 –> 2000-2012 1.8828911 5054.7923
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 804 1.0427660 2362.9910 12.172235 1982-1999 –> 2000-2012 1.8811182 5051.1125
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 434 1.0586072 1295.0748 7.429722 2000-2012 –> 2013-2019 2.0910483 3642.0650
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 434 1.0577152 1294.3431 7.425265 2000-2012 –> 2013-2019 2.0896374 3640.5250
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 434 1.0605845 1296.6946 7.328068 2000-2012 –> 2013-2019 2.0979999 3651.4134
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 434 1.0174317 1260.6390 9.169936 2000-2012 –> 2013-2019 2.0108645 3545.6973
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 434 1.0645856 1299.9629 7.272475 2000-2012 –> 2013-2019 2.1025508 3655.5339
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 434 1.0701724 1304.5062 7.163185 2000-2012 –> 2013-2019 2.1143246 3669.6335
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 434 1.0635476 1299.1162 7.268815 2000-2012 –> 2013-2019 2.1008929 3653.7265
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 434 1.0692645 1303.7695 7.156677 2000-2012 –> 2013-2019 2.1128803 3668.0705
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 434 1.0672164 1302.1053 7.231208 2000-2012 –> 2013-2019 2.1084324 3662.7045
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 434 1.0661162 1301.2100 7.227270 2000-2012 –> 2013-2019 2.1066558 3660.7642
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 936 0.7598609 2156.1646 5.927820 1982-1999 –> 2000-2012 1.3893138 4646.2932
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 936 0.7598340 2156.0982 5.933231 1982-1999 –> 2000-2012 1.3890162 4645.1130
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 936 0.7694118 2179.5475 5.861659 1982-1999 –> 2000-2012 1.4115736 4721.4486
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 936 0.7641038 2166.5883 5.828897 1982-1999 –> 2000-2012 1.3992369 4679.9843
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 936 0.7640919 2166.5592 5.833608 1982-1999 –> 2000-2012 1.3990086 4679.0727
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 936 0.7690645 2178.7024 5.751040 1982-1999 –> 2000-2012 1.4114834 4721.6402
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 936 0.7666596 2172.8394 5.792427 1982-1999 –> 2000-2012 1.4061667 4704.0109
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 936 0.7666599 2172.8402 5.796725 1982-1999 –> 2000-2012 1.4060017 4703.3422
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 936 0.7856962 2218.7544 10.025704 1982-1999 –> 2000-2012 1.3744859 4535.9182
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 936 0.7848370 2216.7061 10.063082 1982-1999 –> 2000-2012 1.3705842 4520.4516
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 497 0.8714406 1285.6430 6.181914 2000-2012 –> 2013-2019 1.6447306 3472.6026
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 497 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.6311195 3443.5998
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 497 0.8712841 1287.4645 6.182969 2000-2012 –> 2013-2019 1.6311181 3443.5627
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 497 0.8847238 1302.6800 5.915366 2000-2012 –> 2013-2019 1.6541356 3482.2275
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 497 0.8778716 1292.9515 6.059913 2000-2012 –> 2013-2019 1.6516901 3481.1901
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 497 0.8492568 1262.0116 6.971050 2000-2012 –> 2013-2019 1.6225461 3450.9696
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 497 0.8778689 1294.9484 6.059947 2000-2012 –> 2013-2019 1.6419727 3461.5366
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 497 0.8778643 1294.9433 6.059822 2000-2012 –> 2013-2019 1.6419563 3461.5024
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 497 0.8812870 1298.8112 6.030679 2000-2012 –> 2013-2019 1.6479466 3471.6506
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 497 0.8812671 1298.7888 6.030027 2000-2012 –> 2013-2019 1.6479270 3471.6289
Atlantic (28.15,28.2] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 1540 0.5531775 2560.7353 2.247783 1982-1999 –> 2000-2012 1.0936272 6149.0806
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 1540 0.5471615 2527.0561 2.040783 1982-1999 –> 2000-2012 1.0648603 5924.1022
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 1540 0.5471615 2527.0561 2.040783 1982-1999 –> 2000-2012 1.0648603 5924.1022
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 1540 0.5816010 2713.0610 2.059205 1982-1999 –> 2000-2012 1.1102087 6200.8612
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1540 0.5814763 2714.4005 2.081606 1982-1999 –> 2000-2012 1.1063265 6172.4699
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 1540 0.5693363 2649.4158 2.047829 1982-1999 –> 2000-2012 1.0976310 6136.5816
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + silicate_star 1540 0.5693363 2649.4158 2.047829 1982-1999 –> 2000-2012 1.0976310 6136.5816
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 1540 0.5576121 2585.3284 2.314250 1982-1999 –> 2000-2012 1.1076613 6251.9858
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 1540 0.5612894 2605.5733 2.311543 1982-1999 –> 2000-2012 1.1118075 6276.0206
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 1540 0.5576121 2585.3284 2.314250 1982-1999 –> 2000-2012 1.1076613 6251.9858
Atlantic (28.15,28.2] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 819 0.8419198 2056.3697 7.850937 2000-2012 –> 2013-2019 1.3950972 4617.1050
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 819 0.7431790 1850.0329 4.262643 2000-2012 –> 2013-2019 1.3371546 4627.9389
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 819 0.7372762 1838.9708 4.731734 2000-2012 –> 2013-2019 1.2844377 4366.0269
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 819 0.7644207 1898.1939 4.832071 2000-2012 –> 2013-2019 1.3352942 4555.9148
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 819 0.7372762 1838.9708 4.731734 2000-2012 –> 2013-2019 1.2844377 4366.0269
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 819 0.7638188 1894.9037 5.281723 2000-2012 –> 2013-2019 1.3454198 4607.9647
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 819 0.7409497 1847.1121 4.370070 2000-2012 –> 2013-2019 1.3224260 4561.5126
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 819 0.7570242 1882.2675 4.592474 2000-2012 –> 2013-2019 1.3263604 4531.6833
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + silicate_star 819 0.7570242 1882.2675 4.592474 2000-2012 –> 2013-2019 1.3263604 4531.6833
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 819 0.8613203 2093.6861 8.208278 2000-2012 –> 2013-2019 1.4189324 4679.0145
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 2693 0.3540505 2062.0339 1.937681 1982-1999 –> 2000-2012 0.6560011 3717.6111
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate_star 2693 0.3588037 2133.8610 1.963165 1982-1999 –> 2000-2012 0.6635911 3858.8422
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 2693 0.3463114 1944.9979 1.900529 1982-1999 –> 2000-2012 0.6453988 3531.8596
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + silicate_star 2693 0.3588037 2133.8610 1.963165 1982-1999 –> 2000-2012 0.6635911 3858.8422
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 2693 0.3242828 1591.0173 2.115462 1982-1999 –> 2000-2012 0.6239944 3193.3546
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 2693 0.3463114 1944.9979 1.900529 1982-1999 –> 2000-2012 0.6453988 3531.8596
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 2693 0.3592615 2140.7296 1.976601 1982-1999 –> 2000-2012 0.6633222 3847.9927
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2693 0.3473235 1960.7157 2.119236 1982-1999 –> 2000-2012 0.6492687 3618.1601
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 2693 0.3584097 2129.9437 2.006883 1982-1999 –> 2000-2012 0.6622526 3833.8894
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + silicate_star 2693 0.3584097 2129.9437 2.006883 1982-1999 –> 2000-2012 0.6622526 3833.8894
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 1557 0.3991609 1570.7062 2.411345 2000-2012 –> 2013-2019 0.7532114 3632.7401
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate_star 1557 0.4110188 1661.8663 2.465092 2000-2012 –> 2013-2019 0.7698225 3795.7273
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 1557 0.3901368 1501.4981 2.457959 2000-2012 –> 2013-2019 0.7364483 3446.4960
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + silicate_star 1557 0.4110188 1661.8663 2.465092 2000-2012 –> 2013-2019 0.7698225 3795.7273
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 1557 0.3502557 1165.7023 2.704232 2000-2012 –> 2013-2019 0.6745385 2756.7196
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 1557 0.3901368 1501.4981 2.457959 2000-2012 –> 2013-2019 0.7364483 3446.4960
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 1557 0.4185494 1718.4039 2.493370 2000-2012 –> 2013-2019 0.7778109 3859.1334
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1557 0.3803071 1422.0335 2.702200 2000-2012 –> 2013-2019 0.7276306 3382.7492
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 1557 0.4078439 1639.7187 2.585072 2000-2012 –> 2013-2019 0.7662535 3769.6624
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + silicate_star 1557 0.4078439 1639.7187 2.585072 2000-2012 –> 2013-2019 0.7662535 3769.6624
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5288 6.2360939 34376.5179 29.968567 1982-1999 –> 2000-2012 12.7656352 81794.3473
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5288 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.6716991 81612.6324
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 5288 6.2330691 34373.3868 30.214602 1982-1999 –> 2000-2012 12.7604122 81788.3722
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5288 6.0656694 34085.4664 34.021650 1982-1999 –> 2000-2012 12.4290401 81134.4469
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 5288 6.3644017 34591.9111 30.317607 1982-1999 –> 2000-2012 13.0125644 82268.7437
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5288 6.2323348 34372.1408 29.869481 1982-1999 –> 2000-2012 12.7604050 81788.7288
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5288 6.3160008 34513.1739 29.849776 1982-1999 –> 2000-2012 12.9032362 82059.5576
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5288 6.3788089 34617.8251 29.965279 1982-1999 –> 2000-2012 13.0190766 82279.5635
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 5288 6.3617875 34589.5660 30.549772 1982-1999 –> 2000-2012 13.0087829 82265.8726
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5288 6.3838810 34626.2313 30.048903 1982-1999 –> 2000-2012 13.0334163 82308.0336
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 2816 5.9520247 18049.4373 24.894024 2000-2012 –> 2013-2019 12.1881186 52425.9552
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2816 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.0707203 52285.7513
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 2816 5.9519636 18051.3795 24.924420 2000-2012 –> 2013-2019 12.1850327 52424.7664
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2816 5.7800044 17886.2676 29.028201 2000-2012 –> 2013-2019 11.8456737 51971.7340
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2816 5.9502121 18049.7219 24.771202 2000-2012 –> 2013-2019 12.1825468 52421.8627
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 2816 5.9876308 18085.0286 24.907000 2000-2012 –> 2013-2019 12.3036316 52598.2025
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2816 6.0467572 18140.3704 25.129848 2000-2012 –> 2013-2019 12.4255661 52758.1956
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 2816 5.9297425 18028.3137 27.542353 2000-2012 –> 2013-2019 12.3132039 52651.8497
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 2816 5.9257831 18026.5518 27.359693 2000-2012 –> 2013-2019 12.3060994 52646.8759
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 2816 5.9257831 18026.5518 27.359693 2000-2012 –> 2013-2019 12.3060994 52646.8759
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 5525 4.7575940 32928.4208 48.010441 1982-1999 –> 2000-2012 9.2356453 77951.6039
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5525 4.5360650 32401.5327 43.772780 1982-1999 –> 2000-2012 8.7824377 76605.3494
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5525 4.8628318 33170.1823 52.418978 1982-1999 –> 2000-2012 9.3128391 78096.4681
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 5525 4.5877220 32526.6595 39.934460 1982-1999 –> 2000-2012 8.8818706 76903.0425
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5525 4.6579284 32694.4781 38.557719 1982-1999 –> 2000-2012 9.0054183 77261.2754
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5525 4.6658266 32713.1992 39.207721 1982-1999 –> 2000-2012 9.0244249 77319.3567
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 5525 4.7555301 32923.6260 49.041150 1982-1999 –> 2000-2012 9.1671720 77716.3587
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 5525 4.7292783 32862.4581 47.412368 1982-1999 –> 2000-2012 9.1428442 77661.9159
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 5525 4.7555301 32923.6260 49.041150 1982-1999 –> 2000-2012 9.1671720 77716.3587
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 5525 4.7637711 32942.7584 51.203206 1982-1999 –> 2000-2012 9.1789275 77747.7736
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2918 4.5881541 17185.9417 50.798645 2000-2012 –> 2013-2019 9.3457481 50114.3625
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2918 4.4724496 17036.8813 46.310491 2000-2012 –> 2013-2019 9.0085146 49438.4140
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2918 4.5594237 17149.2824 39.840874 2000-2012 –> 2013-2019 9.1471456 49675.9420
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2918 4.6381187 17249.1516 36.657339 2000-2012 –> 2013-2019 9.2960471 49943.6297
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2918 4.6426236 17254.8173 36.476302 2000-2012 –> 2013-2019 9.3084502 49968.0165
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 2918 4.6824845 17304.7104 36.962646 2000-2012 –> 2013-2019 9.5754407 50543.1344
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 2918 4.5715543 17164.7889 45.715284 2000-2012 –> 2013-2019 9.3270844 50088.4149
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 2918 4.5489045 17135.8025 48.107779 2000-2012 –> 2013-2019 9.2781828 49998.2607
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 2918 4.5715543 17164.7889 45.715284 2000-2012 –> 2013-2019 9.3270844 50088.4149
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 2918 4.5779873 17172.9954 45.249093 2000-2012 –> 2013-2019 9.3417584 50115.7538
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4544 4.0473152 25612.8259 22.127132 1982-1999 –> 2000-2012 7.9963826 60742.2745
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 4544 3.8913517 25257.6932 27.853242 1982-1999 –> 2000-2012 7.7641398 60143.8499
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4544 3.9265162 25339.4488 20.226531 1982-1999 –> 2000-2012 7.6839109 59845.1956
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4544 4.0209885 25555.5176 28.598406 1982-1999 –> 2000-2012 7.9073574 60485.6979
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4544 4.0407862 25600.1536 20.538812 1982-1999 –> 2000-2012 7.8931648 60419.8596
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 4544 4.0370480 25589.7423 30.746710 1982-1999 –> 2000-2012 7.9460569 60590.9711
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 4544 3.9296720 25346.7499 27.085865 1982-1999 –> 2000-2012 7.8142638 60271.1781
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 4544 3.9296720 25346.7499 27.085865 1982-1999 –> 2000-2012 7.8142638 60271.1781
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4544 3.9477481 25388.4579 23.151958 1982-1999 –> 2000-2012 7.8249401 60288.9073
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 4544 3.9535838 25401.8824 28.364134 1982-1999 –> 2000-2012 7.8828091 60469.9835
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2447 4.2048977 13987.2925 31.207461 2000-2012 –> 2013-2019 8.0962494 39244.9857
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2447 4.2938981 14089.7973 24.434470 2000-2012 –> 2013-2019 8.2204143 39429.2462
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 2447 4.2783866 14072.0860 34.710261 2000-2012 –> 2013-2019 8.2080586 39418.8360
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 2447 4.2783866 14072.0860 34.710261 2000-2012 –> 2013-2019 8.2080586 39418.8360
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 2447 4.3225383 14122.3318 31.664753 2000-2012 –> 2013-2019 8.3443672 39679.7489
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2447 4.2923135 14087.9909 22.815590 2000-2012 –> 2013-2019 8.2400615 39476.4489
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 2447 4.2621159 14053.4387 31.613974 2000-2012 –> 2013-2019 8.2156997 39455.3210
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 2447 4.3225383 14122.3318 31.664753 2000-2012 –> 2013-2019 8.3443672 39679.7489
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 2447 4.3205048 14120.0290 31.479242 2000-2012 –> 2013-2019 8.3423820 39677.5550
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + silicate_star + phosphate_star 2447 4.3388127 14138.7232 34.446250 2000-2012 –> 2013-2019 8.3606936 39694.2577
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 5354 4.3860284 31038.9594 20.143089 1982-1999 –> 2000-2012 8.2846331 72918.6507
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate_star + phosphate + phosphate_star 5354 4.4364272 31159.3008 18.611622 1982-1999 –> 2000-2012 8.3694630 73169.4305
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 5354 4.3077986 30844.2463 21.980567 1982-1999 –> 2000-2012 7.9956057 71884.6902
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5354 4.2906105 30803.4359 21.052395 1982-1999 –> 2000-2012 7.9645082 71788.9629
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 5354 4.2213053 30629.0600 20.756473 1982-1999 –> 2000-2012 7.8498644 71427.5545
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5354 4.1643941 30483.7138 22.734855 1982-1999 –> 2000-2012 7.7513405 71108.4774
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 5354 4.4688777 31239.3400 20.325621 1982-1999 –> 2000-2012 8.3534121 73064.5735
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 5354 4.2057274 30587.4712 23.104196 1982-1999 –> 2000-2012 7.8859232 71596.7963
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5354 4.1702723 30498.8181 21.453131 1982-1999 –> 2000-2012 7.8227361 71396.2141
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 5354 4.1165993 30360.1074 20.285252 1982-1999 –> 2000-2012 7.7366826 71123.3780
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2868 4.7432090 17082.3425 20.342378 2000-2012 –> 2013-2019 9.1292375 48121.3019
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate_star + phosphate + phosphate_star 2868 4.8115172 17162.3589 18.671411 2000-2012 –> 2013-2019 9.2479444 48321.6597
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 2868 4.6612052 16980.3073 20.095371 2000-2012 –> 2013-2019 8.9690038 47824.5536
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2868 4.6499950 16968.4956 19.282213 2000-2012 –> 2013-2019 8.9406055 47771.9315
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 2868 4.5834469 16885.8122 19.621984 2000-2012 –> 2013-2019 8.8047522 47514.8721
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2868 4.5360260 16826.1577 17.606576 2000-2012 –> 2013-2019 8.7004201 47309.8716
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 2868 4.8465090 17205.9231 20.086861 2000-2012 –> 2013-2019 9.3153867 48445.2630
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 2868 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.7831284 47463.7121
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2868 4.5537010 16848.4650 17.066955 2000-2012 –> 2013-2019 8.7239733 47347.2831
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 2868 4.5010869 16781.8046 18.240062 2000-2012 –> 2013-2019 8.6176862 47141.9121
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 6466 3.9057692 35982.9778 48.713871 1982-1999 –> 2000-2012 7.0697021 81432.4909
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate_star + phosphate + phosphate_star 6466 4.0461089 36437.4893 40.815494 1982-1999 –> 2000-2012 7.3572918 82688.9862
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 6466 4.0166063 36344.8487 42.576745 1982-1999 –> 2000-2012 7.2664602 82267.9222
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 6466 4.1684600 36824.7465 40.310514 1982-1999 –> 2000-2012 7.5717042 83562.9293
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 6466 4.1535561 36778.4265 49.359080 1982-1999 –> 2000-2012 7.5202091 83325.5519
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6466 3.9500266 36128.6900 31.512269 1982-1999 –> 2000-2012 7.2528573 82337.5496
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 6466 4.0268865 36377.9050 48.755703 1982-1999 –> 2000-2012 7.2867928 82355.5633
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 6466 4.1535561 36778.4265 49.359080 1982-1999 –> 2000-2012 7.5202091 83325.5519
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 6466 3.7382856 35416.1990 36.297381 1982-1999 –> 2000-2012 6.8506238 80575.1233
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 6466 4.1253304 36690.2467 48.506869 1982-1999 –> 2000-2012 7.4805153 83177.0650
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 3470 4.7284767 20643.4390 37.054814 2000-2012 –> 2013-2019 8.6342459 56626.4168
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate_star + phosphate + phosphate_star 3470 4.7690854 20700.7860 33.838511 2000-2012 –> 2013-2019 8.8151944 57138.2754
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 3470 4.7342458 20651.9011 35.629548 2000-2012 –> 2013-2019 8.7508521 56996.7498
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 3470 4.8746361 20854.7089 32.821041 2000-2012 –> 2013-2019 9.0430961 57679.4554
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 3470 4.9716940 20991.5322 35.708885 2000-2012 –> 2013-2019 9.1252501 57769.9588
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3470 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.4223646 56385.6280
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 3470 4.8388654 20803.5946 35.817177 2000-2012 –> 2013-2019 8.8657519 57181.4995
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate_star + phosphate 3470 4.8755660 20854.0327 32.501494 2000-2012 –> 2013-2019 9.0453605 57680.9186
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 3470 4.3257326 20025.6292 30.341767 2000-2012 –> 2013-2019 8.0640183 55441.8282
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 3470 4.9160028 20913.3540 34.970533 2000-2012 –> 2013-2019 9.0413332 57603.6007
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 5847 3.4261572 31007.5182 32.305003 1982-1999 –> 2000-2012 6.3475428 70339.4077
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 5847 3.4261572 31007.5182 32.305003 1982-1999 –> 2000-2012 6.3475428 70339.4077
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 5847 3.4479927 31081.8095 32.787008 1982-1999 –> 2000-2012 6.3639079 70384.1153
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate_star + phosphate_star 5847 3.4481958 31080.4983 32.737786 1982-1999 –> 2000-2012 6.3699577 70412.4213
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + silicate_star + phosphate + phosphate_star 5847 3.4222130 30994.0484 31.732058 1982-1999 –> 2000-2012 6.3354476 70281.8372
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 5847 3.4154823 30971.0264 32.897684 1982-1999 –> 2000-2012 6.3144388 70181.2655
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 5847 3.4428597 31064.3879 32.980159 1982-1999 –> 2000-2012 6.3632062 70390.6622
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 5847 3.4275759 31012.3594 33.005900 1982-1999 –> 2000-2012 6.3400498 70296.0264
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5847 3.3461863 30731.3292 33.390589 1982-1999 –> 2000-2012 6.2704796 70078.9213
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 5847 3.2436714 30367.4652 32.825325 1982-1999 –> 2000-2012 6.1083715 69390.0778
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 3127 3.9776245 17522.8442 31.036835 2000-2012 –> 2013-2019 7.4037817 48530.3624
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 3127 3.9776245 17522.8442 31.036835 2000-2012 –> 2013-2019 7.4037817 48530.3624
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 3127 4.0149436 17581.2473 32.065458 2000-2012 –> 2013-2019 7.4629363 48663.0568
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate_star + phosphate_star 3127 4.0191802 17585.8431 31.731513 2000-2012 –> 2013-2019 7.4673759 48666.3413
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + silicate_star + phosphate + phosphate_star 3127 3.9789503 17524.9283 30.123196 2000-2012 –> 2013-2019 7.4011633 48518.9767
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 3127 3.9727924 17515.2421 32.298603 2000-2012 –> 2013-2019 7.3882747 48486.2685
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 3127 4.0019096 17560.9115 32.393400 2000-2012 –> 2013-2019 7.4447693 48625.2994
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 3127 3.9821384 17529.9374 32.428532 2000-2012 –> 2013-2019 7.4097144 48542.2969
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3127 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.1899105 48040.0175
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 3127 3.7456570 17147.0555 32.042107 2000-2012 –> 2013-2019 6.9893284 47514.5206
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 5836 3.1845769 30095.7550 10.967937 1982-1999 –> 2000-2012 5.4967039 66697.4500
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 5836 3.1735450 30055.2512 8.689085 1982-1999 –> 2000-2012 5.4890819 66680.8347
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5836 3.1804225 30080.5185 8.700790 1982-1999 –> 2000-2012 5.5093045 66799.2566
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 5836 3.1344878 29910.7112 10.233030 1982-1999 –> 2000-2012 5.4222114 66340.4081
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 5836 3.1418231 29937.9938 9.677288 1982-1999 –> 2000-2012 5.4431377 66463.7071
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 5836 3.1824417 30085.9266 11.982022 1982-1999 –> 2000-2012 5.5582386 67125.9669
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5836 3.1698959 30041.8225 8.686571 1982-1999 –> 2000-2012 5.4929254 66719.7736
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate 5836 3.1294481 29891.9296 12.455483 1982-1999 –> 2000-2012 5.4998999 66897.4594
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate_star + phosphate 5836 3.1373558 29919.3860 12.158536 1982-1999 –> 2000-2012 5.5174145 66988.4780
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 5836 3.1324239 29903.0232 9.658767 1982-1999 –> 2000-2012 5.4289174 66394.7415
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 3104 3.6736333 16900.5032 10.209719 2000-2012 –> 2013-2019 6.8651581 47021.6955
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3104 3.7040372 16951.6707 10.351471 2000-2012 –> 2013-2019 6.8775822 47006.9218
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + silicate_star 3104 3.6736333 16900.5032 10.209719 2000-2012 –> 2013-2019 6.8651581 47021.6955
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate_star 3104 3.6781282 16906.0943 10.250007 2000-2012 –> 2013-2019 6.8715796 47032.3308
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 3104 3.6583719 16874.6595 10.327691 2000-2012 –> 2013-2019 6.7928597 46785.3707
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 3104 3.6626957 16881.9924 10.327653 2000-2012 –> 2013-2019 6.8045188 46819.9862
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3104 3.6928602 16932.9096 10.332716 2000-2012 –> 2013-2019 6.8627561 46974.7321
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate 3104 3.7023122 16948.7788 17.138991 2000-2012 –> 2013-2019 6.8317603 46840.7084
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate_star + phosphate 3104 3.7306037 16994.0373 16.691907 2000-2012 –> 2013-2019 6.8679595 46913.4233
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 3104 3.6489118 16858.5855 10.306258 2000-2012 –> 2013-2019 6.7813357 46761.6087
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2317 2.7304690 11242.0909 21.046900 1982-1999 –> 2000-2012 4.6623579 24262.9999
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2317 2.7212475 11228.4142 21.917997 1982-1999 –> 2000-2012 4.6418941 24214.7759
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate_star + phosphate + phosphate_star 2317 2.7260850 11234.6446 21.214199 1982-1999 –> 2000-2012 4.6543997 24243.9574
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2317 2.7290365 11241.6591 21.325228 1982-1999 –> 2000-2012 4.6507603 24231.5321
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 2317 2.7249081 11234.6436 21.471767 1982-1999 –> 2000-2012 4.6432603 24213.5203
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2317 2.7364990 11254.3133 24.038402 1982-1999 –> 2000-2012 4.6592663 24247.5857
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 2317 2.7271269 11238.4154 21.453348 1982-1999 –> 2000-2012 4.6635446 24275.9866
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2317 2.6406178 11089.0349 20.968772 1982-1999 –> 2000-2012 4.5482001 24032.6569
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 2317 2.7312774 11245.4627 21.597290 1982-1999 –> 2000-2012 4.6633541 24268.9802
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 2317 2.6387258 11085.7135 21.377698 1982-1999 –> 2000-2012 4.5432730 24019.3645
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 1264 3.1358059 6490.2930 31.989646 2000-2012 –> 2013-2019 5.8629052 17728.6613
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 1264 3.1358059 6490.2930 31.989646 2000-2012 –> 2013-2019 5.8629052 17728.6613
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + silicate_star + phosphate + phosphate_star 1264 3.1390093 6492.8741 31.279189 2000-2012 –> 2013-2019 5.8653527 17729.9579
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + silicate_star + phosphate_star 1264 3.1488202 6498.7630 29.448400 2000-2012 –> 2013-2019 5.8762396 17735.6753
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1264 3.0327595 6405.8242 34.844332 2000-2012 –> 2013-2019 5.7692585 17660.1374
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 1264 3.1487768 6500.7281 29.551108 2000-2012 –> 2013-2019 5.8739654 17735.8488
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 1264 3.1487768 6500.7281 29.551108 2000-2012 –> 2013-2019 5.8739654 17735.8488
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 1264 3.1128492 6469.7178 31.766441 2000-2012 –> 2013-2019 5.8536894 17729.3767
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1264 3.0665742 6433.8549 28.861392 2000-2012 –> 2013-2019 5.7071919 17522.8898
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 1264 3.0580694 6426.8341 29.049935 2000-2012 –> 2013-2019 5.6967952 17512.5476
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 2907 2.7369084 14117.4123 28.359649 1982-1999 –> 2000-2012 4.8476476 31502.5456
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2907 2.7472776 14139.3979 28.705900 1982-1999 –> 2000-2012 4.8676515 31561.0562
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 2907 2.7620867 14170.6537 31.227540 1982-1999 –> 2000-2012 4.8825340 31592.5900
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 2907 2.7620867 14170.6537 31.227540 1982-1999 –> 2000-2012 4.8825340 31592.5900
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 2907 2.7487099 14140.4282 28.492785 1982-1999 –> 2000-2012 4.8701028 31563.9400
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 2907 2.7457460 14136.1557 28.208152 1982-1999 –> 2000-2012 4.8664196 31558.9474
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 2907 2.7448988 14134.3614 28.185033 1982-1999 –> 2000-2012 4.8625461 31545.7003
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 2907 2.7457460 14136.1557 28.208152 1982-1999 –> 2000-2012 4.8664196 31558.9474
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate_star + phosphate_star 2907 2.7621671 14168.8231 31.138313 1982-1999 –> 2000-2012 4.8840444 31594.1657
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 2907 2.7445406 14133.6026 28.109511 1982-1999 –> 2000-2012 4.8649180 31555.2745
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 1542 3.2823201 8055.4962 31.823285 2000-2012 –> 2013-2019 6.0192285 22172.9085
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1542 3.3042832 8076.0636 32.744068 2000-2012 –> 2013-2019 6.0515609 22215.4615
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 1542 3.2978683 8070.0705 32.004378 2000-2012 –> 2013-2019 6.0457481 22210.7427
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + silicate_star 1542 3.2978683 8070.0705 32.004378 2000-2012 –> 2013-2019 6.0457481 22210.7427
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate_star 1542 3.3046795 8074.4335 31.424170 2000-2012 –> 2013-2019 6.0531124 22214.2756
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 1542 3.2946985 8067.1049 31.554855 2000-2012 –> 2013-2019 6.0404446 22203.2606
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1542 3.2637446 8037.9935 37.426960 2000-2012 –> 2013-2019 6.0494318 22258.1136
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 1542 3.2971709 8069.4182 31.533669 2000-2012 –> 2013-2019 6.0420696 22203.7796
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 1542 3.2946985 8067.1049 31.554855 2000-2012 –> 2013-2019 6.0404446 22203.2606
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 1542 3.2939987 8066.4498 31.381712 2000-2012 –> 2013-2019 6.0385393 22200.0524
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2467 2.2115502 10931.1275 8.468880 1982-1999 –> 2000-2012 4.1022689 25513.2034
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 2467 2.2063914 10919.6046 8.494541 1982-1999 –> 2000-2012 4.0944790 25491.8129
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 2467 2.1868435 10875.6962 8.583791 1982-1999 –> 2000-2012 4.0752629 25449.1497
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + silicate_star 2467 2.1868435 10875.6962 8.583791 1982-1999 –> 2000-2012 4.0752629 25449.1497
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 2467 2.2141199 10936.8572 8.547285 1982-1999 –> 2000-2012 4.1076100 25529.3121
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 2467 2.2146390 10938.0139 8.541557 1982-1999 –> 2000-2012 4.1094025 25535.2325
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 2467 2.2177921 10945.0336 8.776951 1982-1999 –> 2000-2012 4.1134423 25545.5679
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 2467 2.2148542 10938.4933 8.549474 1982-1999 –> 2000-2012 4.1097078 25536.0491
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2467 2.1886299 10879.7253 7.878228 1982-1999 –> 2000-2012 4.0642895 25405.1370
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 2467 2.1895879 10881.8845 7.849347 1982-1999 –> 2000-2012 4.0701805 25425.9079
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 1354 2.4060015 6232.0181 8.104133 2000-2012 –> 2013-2019 4.6173063 17160.5981
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate_star + phosphate_star 1354 2.4007452 6228.0956 8.259744 2000-2012 –> 2013-2019 4.5943605 17119.0470
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate_star 1354 2.4007452 6228.0956 8.259744 2000-2012 –> 2013-2019 4.5943605 17119.0470
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1354 2.3941382 6220.6327 8.284045 2000-2012 –> 2013-2019 4.5799766 17094.0607
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate_star 1354 2.4833521 6319.7076 8.863057 2000-2012 –> 2013-2019 4.6701956 17195.4038
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1354 2.4423749 6274.6507 8.778109 2000-2012 –> 2013-2019 4.6709356 17243.5837
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + silicate_star 1354 2.4833521 6319.7076 8.863057 2000-2012 –> 2013-2019 4.6701956 17195.4038
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate 1354 2.3891259 6214.9574 8.045546 2000-2012 –> 2013-2019 4.5812165 17102.4783
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1354 2.4266912 6257.2052 8.523746 2000-2012 –> 2013-2019 4.6153211 17136.9304
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 1354 2.4267117 6257.2281 8.510320 2000-2012 –> 2013-2019 4.6162997 17139.1126
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 1718 1.8463208 6996.4105 10.225349 1982-1999 –> 2000-2012 3.4405196 16640.5731
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1718 1.8450332 6994.0133 9.467590 1982-1999 –> 2000-2012 3.4414783 16645.3685
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 1718 1.8482228 6999.9483 9.397411 1982-1999 –> 2000-2012 3.4507256 16670.6487
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1718 1.8511670 7005.4174 9.474435 1982-1999 –> 2000-2012 3.4501316 16664.8274
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1718 1.8524675 7007.8305 9.472903 1982-1999 –> 2000-2012 3.4530954 16672.5512
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 1718 1.8539599 7010.5976 9.404402 1982-1999 –> 2000-2012 3.4587072 16688.4473
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1718 1.8521019 7007.1522 9.467448 1982-1999 –> 2000-2012 3.4524360 16670.9355
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 1718 1.8548924 7012.3253 9.398110 1982-1999 –> 2000-2012 3.4609667 16694.3974
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1718 1.8032691 6915.3424 9.697645 1982-1999 –> 2000-2012 3.4298781 16662.3098
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 1718 1.8576083 7017.3526 10.254032 1982-1999 –> 2000-2012 3.4609842 16690.8353
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 966 2.0390556 4131.9137 9.747515 2000-2012 –> 2013-2019 3.8840888 11125.9270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate_star + phosphate + phosphate_star 966 2.0395415 4132.3740 9.670797 2000-2012 –> 2013-2019 3.8877643 11132.3223
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 966 2.0453970 4137.9128 9.764284 2000-2012 –> 2013-2019 3.8965640 11143.3302
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 966 2.0456543 4138.1559 9.760669 2000-2012 –> 2013-2019 3.8981218 11145.9864
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate_star + phosphate 966 2.0455292 4138.0377 9.687490 2000-2012 –> 2013-2019 3.8994891 11148.6352
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate_star + phosphate_star 966 2.0455903 4138.0954 9.683298 2000-2012 –> 2013-2019 3.9006246 11150.6834
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 966 2.0451030 4137.6351 9.755580 2000-2012 –> 2013-2019 3.8972049 11144.7873
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 966 2.0452806 4137.8029 9.679242 2000-2012 –> 2013-2019 3.9001730 11150.1282
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 966 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.8033978 11010.0164
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate_star + phosphate + phosphate_star 966 2.0180718 4111.9285 9.104081 2000-2012 –> 2013-2019 3.8390788 11060.9042
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + silicate_star + phosphate + phosphate_star 14627 1.3445893 50185.4032 13.266137 1982-1999 –> 2000-2012 2.4490842 111949.7485
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 14627 1.2494600 48038.8292 11.951281 1982-1999 –> 2000-2012 2.3095030 108132.5045
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + silicate_star + phosphate + phosphate_star 14627 1.3133686 49498.1312 9.366747 1982-1999 –> 2000-2012 2.4634246 112906.4588
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 14627 1.3331929 49936.3988 16.466261 1982-1999 –> 2000-2012 2.4904010 113596.8674
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14627 1.3376755 50034.5945 16.199920 1982-1999 –> 2000-2012 2.5064212 114098.5423
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 14627 1.3331929 49936.3988 16.466261 1982-1999 –> 2000-2012 2.4904010 113596.8674
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate_star + phosphate_star 14627 1.3692488 50717.0570 13.004762 1982-1999 –> 2000-2012 2.4951048 113260.4541
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate 14627 1.3529440 50366.6138 13.068005 1982-1999 –> 2000-2012 2.4639859 112371.3228
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + silicate_star + phosphate_star 14627 1.3692488 50717.0570 13.004762 1982-1999 –> 2000-2012 2.4951048 113260.4541
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + silicate + silicate_star + phosphate + phosphate_star 14627 1.3591254 50499.9672 12.907049 1982-1999 –> 2000-2012 2.4770940 112757.4410
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 7804 1.4923380 28409.3615 12.644005 2000-2012 –> 2013-2019 2.8302151 78448.3652
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + silicate_star + phosphate 7804 1.4123708 27549.7620 9.529089 2000-2012 –> 2013-2019 2.6618308 75588.5913
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + silicate_star + phosphate + phosphate_star 7804 1.4569278 28034.5504 8.140875 2000-2012 –> 2013-2019 2.7702964 77532.6816
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 7804 1.4925685 28411.7727 12.628703 2000-2012 –> 2013-2019 2.8303164 78447.9491
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7804 1.4928857 28415.0892 12.611716 2000-2012 –> 2013-2019 2.8305612 78449.6827
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate_star + phosphate_star 7804 1.4959833 28447.4412 13.045112 2000-2012 –> 2013-2019 2.8291763 78383.8400
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7804 1.4928764 28414.9925 12.611567 2000-2012 –> 2013-2019 2.8305520 78449.5870
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 7804 1.4961291 28446.9616 12.985788 2000-2012 –> 2013-2019 2.8338182 78479.8528
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + silicate_star + phosphate_star 7804 1.4959833 28447.4412 13.045112 2000-2012 –> 2013-2019 2.8291763 78383.8400
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate_star + phosphate + phosphate_star 7804 1.5069805 28561.7584 12.750025 2000-2012 –> 2013-2019 2.8596293 78921.9873

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 2.3873218 1202.1910
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 2.2687477 726.1382
Atlantic (26,26.5] 1982-1999 –> 2000-2012 6.9943416 13753.3737
Atlantic (26,26.5] 2000-2012 –> 2013-2019 6.9949170 8645.7276
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.3795055 16982.0298
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 6.6570558 10773.2155
Atlantic (26.75,27] 1982-1999 –> 2000-2012 3.8200515 22680.3846
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.6554210 16350.8662
Atlantic (27,27.25] 1982-1999 –> 2000-2012 3.6017737 18524.2188
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.2550008 13657.0199
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 4.0835172 20591.8824
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 5.1355207 14609.1981
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 4.4770995 28947.1217
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 5.2417636 20360.6422
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 3.2423753 8992.5839
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 3.3922075 6000.6949
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 6.0951541 11705.0523
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 6.7916381 8210.0015
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 7.6755650 15885.5549
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 7.5563587 10371.1555
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 1.9176847 5150.0076
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.0935287 3645.0134
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.3956871 4655.7275
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.6415143 3464.0471
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.0962275 6142.3771
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.3375920 4544.4871
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 0.6535071 3682.6301
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 0.7478240 3565.5114
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 12.8364268 81930.0299
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 12.2126693 52483.2069
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 9.0898751 77497.9503
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 9.2955456 49997.4343
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 7.8527289 60352.9096
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.2580352 39517.4984
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 8.0014169 71947.8728
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 8.9232138 47726.2361
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 7.3176366 82504.8734
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 8.7807467 57050.4331
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.3160945 70209.4142
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 7.3561036 48411.7502
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.4857835 66710.8076
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 6.8420668 46917.8473
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.6330310 24201.1360
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.8242268 17681.9605
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.8694818 31562.5757
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.0426328 22209.2598
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.0921906 25488.0522
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.6210168 17150.5666
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.4498923 16670.0894
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.8806507 11121.2721
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 2.4640524 112593.0661
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 2.8105572 78108.6377

5.4 Target variable coefficients

A data frame to map the target variable is prepared.

# create table with two era belonging to one eras
eras_forward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(era, lead(era), sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_backward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_era <- full_join(eras_backward, eras_forward) %>% 
  filter(str_detect(eras, "NA") == FALSE)

# extend best model selection from eras to era
lm_best_target <- full_join(
  lm_best %>% select(basin, gamma_slab, model, eras),
  eras_era)

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.5 Plot selected model residuals

# plot model diagnostics, if activated
if (params_local$plot_all_figures == "y") {
  # mutate predictors column
  lm_best_plot <- lm_best_target %>%
    select(basin, gamma_slab, model, eras, era) %>%
    mutate(
      predictors = str_remove(model, paste(params_local$MLR_target, "~ ")),
      predictors = str_replace_all(predictors, "\\+ ", "")
    )
  
  # loop across all basins, era, gamma slabs, and MLRs
  # fit all MLR models
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[2]
      print(i_basin)
      print(i_era)
      
      GLODAP_basin_era <- GLODAP %>%
        filter(basin == i_basin, era == i_era)
      
      for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
        #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
        print(i_gamma_slab)
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        lm_best_basin_era_slab <- lm_best_plot %>%
          filter(basin == i_basin, era == i_era, gamma_slab == i_gamma_slab)
        
        for (i_eras in unique(lm_best_basin_era_slab$eras)) {
          #i_eras <- unique(lm_best_basin_era_slab$eras)[1]
          print(i_eras)
          
          lm_best_basin_era_slab_eras <- lm_best_basin_era_slab %>%
            filter(eras == i_eras)
          
          for (i_predictors in unique(lm_best_basin_era_slab_eras$predictors)) {
            #i_predictors <- unique(lm_best_basin_era_slab$predictors)[1]
            print(i_predictors)
            # extract one model definition
            i_lm <- lm_all %>%
              filter(predictors == i_predictors) %>%
              select(lm_coeff) %>%
              pull()
            
             # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
            
            # plot model diagnostics vs predictors
            
            p_model_predictors <- ggnostic(
              i_lm_fit,
              columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
              title = paste(
                "era:",
                i_era,
                "| eras:",
                i_eras,
                "| basin:",
                i_basin,
                "| gamma slab:",
                i_gamma_slab,
                "| predictors:",
                i_predictors
              )
            )
            
            ggsave(
              plot = p_model_predictors,
              path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
              filename = paste(
                "MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

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

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

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

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

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

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

5.6 Cant coeffcients

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

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

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

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

5.7 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 5).

6.1.1 All models

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

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

6.1.2 Best models

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

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

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

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

6.2.2 Best models

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

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

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

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate silicate_star temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 10 1 7 7 10 3 3 7
(26,26.5] 7 4 3 6 10 6 4 9
(26.5,26.75] 9 1 8 7 5 9 4 6
(26.75,27] 9 1 8 7 4 9 3 7
(27,27.25] 9 1 7 6 6 9 5 6
(27.25,27.5] 9 3 4 5 3 7 9 8
(27.5,27.75] 6 1 6 8 10 5 6 8
(27.75,27.85] 8 2 6 7 10 4 6 7
(27.85,27.95] 10 0 10 10 4 4 4 4
(27.95,28.05] 6 2 7 6 5 8 9 6
(28.05,28.1] 8 1 9 8 8 4 4 8
(28.1,28.15] 8 1 8 8 8 4 5 8
(28.15,28.2] 10 5 2 6 6 5 8 7
(28.2, Inf] 10 6 1 4 10 4 7 4
total 119.00 29.00 86.00 95.00 99.00 81.00 77.00 95.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 9 2 5 6 10 5 5 8
(26,26.5] 7 4 3 6 10 6 4 9
(26.5,26.75] 9 1 8 6 6 9 4 6
(26.75,27] 9 0 9 6 6 10 3 5
(27,27.25] 8 1 6 7 9 9 5 4
(27.25,27.5] 9 3 4 6 5 7 10 6
(27.5,27.75] 8 0 8 6 10 5 6 6
(27.75,27.85] 7 1 6 7 10 5 7 7
(27.85,27.95] 10 1 9 8 7 3 3 7
(27.95,28.05] 6 2 7 6 5 8 9 6
(28.05,28.1] 8 1 7 8 10 4 4 8
(28.1,28.15] 8 1 9 7 10 3 3 7
(28.15,28.2] 10 5 2 6 8 5 7 5
(28.2, Inf] 10 6 1 4 10 4 7 4
total 118.00 28.00 84.00 89.00 116.00 83.00 77.00 88.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 9 1 8 7 10 4 2 7
(26,26.5] 8 2 6 8 5 8 5 8
(26.5,26.75] 7 3 6 8 6 7 4 7
(26.75,27] 10 0 10 9 5 3 5 5
(27,27.25] 9 1 8 8 2 5 9 7
(27.25,27.5] 8 1 6 9 8 3 9 5
(27.5,27.75] 5 0 8 5 10 5 6 9
(27.75,27.85] 10 1 9 9 3 5 6 5
(27.85,27.95] 6 5 3 9 3 5 8 9
(27.95,28.05] 8 2 6 7 8 3 8 8
(28.05,28.1] 8 0 9 7 7 7 5 7
(28.1, Inf] 5 2 6 8 5 8 9 7
total 93.00 18.00 85.00 94.00 72.00 63.00 76.00 84.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 3 5 9 10 4 3 7
(26,26.5] 7 1 6 8 5 9 6 8
(26.5,26.75] 6 2 5 9 3 8 8 8
(26.75,27] 10 0 10 9 5 3 5 5
(27,27.25] 9 1 9 7 2 4 9 7
(27.25,27.5] 8 1 6 9 8 3 9 5
(27.5,27.75] 6 1 6 3 10 4 8 10
(27.75,27.85] 6 2 5 10 7 5 7 6
(27.85,27.95] 9 4 4 6 3 6 8 9
(27.95,28.05] 9 4 4 7 8 4 6 7
(28.05,28.1] 8 0 8 8 8 5 5 8
(28.1, Inf] 4 1 6 8 10 8 5 7
total 89.00 20.00 74.00 93.00 79.00 63.00 79.00 87.00

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

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

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.3      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            plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.2
[67] data.table_1.13.6        modelr_0.1.8             vctrs_0.3.6             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.20               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.9.1      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_1.0.1