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1 Required data

Required are:

  • cleaned and prepared GLODAP-based synthetic model subsetting file
GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

  • sal, temp, aou, nitrate, silicate, phosphate, phosphate_star
# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

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

lm_rm <- lm_rm_ph %>%
  select(-lm_coeff_filter) %>%
  unique()

lm_all <- anti_join(lm_all, lm_rm)

# remove helper objects
rm(
  i_gamma_slab,
  i_era,
  i_basin,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  lm_full,
  lm_rm_ph,
  lm_rm_si,
  lm_rm_o2,
  lm_rm
)

3 Apply predictor threshold

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

  • Minimum: 2
  • Maximum: 7
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:

  • 104

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 + temp + aou + nitrate + phosphate 158 1.0440638 476.0107 4.148260 1982-1999 –> 2000-2012 2.3813170 1201.1861
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + 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 + nitrate + silicate + phosphate 158 1.0137290 468.6934 3.297715 1982-1999 –> 2000-2012 2.3505653 1195.7391
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 158 1.0146566 468.9824 3.327668 1982-1999 –> 2000-2012 2.3517436 1196.1061
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 + phosphate_star 158 1.0432378 477.7606 3.903496 1982-1999 –> 2000-2012 2.3788630 1204.4292
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 + 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 + temp + aou + nitrate + phosphate 72 1.1361477 236.7078 2.802670 2000-2012 –> 2013-2019 2.1802115 712.7185
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + 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 72 1.2083604 245.5812 2.691226 2000-2012 –> 2013-2019 2.2954998 734.3676
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 72 1.0788874 231.2611 2.583446 2000-2012 –> 2013-2019 2.0926164 699.9545
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 72 1.0780946 231.1553 2.566087 2000-2012 –> 2013-2019 2.0927512 700.1377
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 + phosphate_star 72 1.1875291 245.0771 3.194201 2000-2012 –> 2013-2019 2.2307669 722.8377
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 + 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 1046 3.3726755 5525.6771 14.465145 1982-1999 –> 2000-2012 6.7342249 13565.2657
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 1046 3.3139957 5488.9589 14.956164 1982-1999 –> 2000-2012 6.6524475 13507.5183
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1046 3.3081857 5487.2880 15.351355 1982-1999 –> 2000-2012 6.6465073 13507.7285
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1046 3.3063544 5486.1296 15.393078 1982-1999 –> 2000-2012 6.6447963 13506.6800
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 + phosphate_star 1046 3.5299898 5623.0485 12.647502 1982-1999 –> 2000-2012 6.9248206 13694.6855
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 + 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 567 3.2965285 2975.7908 9.955222 2000-2012 –> 2013-2019 6.6692041 8501.4679
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 567 3.1723161 2932.2362 9.432214 2000-2012 –> 2013-2019 6.4863118 8421.1950
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 567 3.0977240 2907.2534 8.739067 2000-2012 –> 2013-2019 6.4059096 8394.5414
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 567 3.0923984 2905.3022 8.782350 2000-2012 –> 2013-2019 6.3987528 8391.4318
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 + phosphate_star 567 3.5990762 3077.3642 11.587639 2000-2012 –> 2013-2019 7.1290660 8700.4127
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 (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1397 3.3429532 7348.4661 10.697715 1982-1999 –> 2000-2012 6.4415667 17034.7612
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + 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 + temp + aou + nitrate + silicate + phosphate 1397 3.2317170 7257.9142 9.546069 1982-1999 –> 2000-2012 6.2938190 16903.2385
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1397 3.2491007 7272.9031 9.715538 1982-1999 –> 2000-2012 6.3330657 16945.2198
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 + phosphate_star 1397 3.2139421 7242.5043 10.077111 1982-1999 –> 2000-2012 6.1949222 16785.9619
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 + phosphate 1397 3.2989930 7313.4809 9.947012 1982-1999 –> 2000-2012 6.4141750 17022.0087
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 ~ sal + aou + nitrate + silicate + phosphate 656 3.3807232 3473.7810 10.074129 2000-2012 –> 2013-2019 6.6840570 10790.9358
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 + temp + aou + nitrate + silicate + phosphate 656 3.3335092 3457.3289 9.998952 2000-2012 –> 2013-2019 6.5652262 10715.2431
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 656 3.3483682 3463.1641 10.175131 2000-2012 –> 2013-2019 6.5974689 10736.0672
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 + phosphate_star 656 3.3015492 3444.6894 10.639303 2000-2012 –> 2013-2019 6.5154913 10687.1938
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 + phosphate 656 3.3892046 3477.0684 9.580435 2000-2012 –> 2013-2019 6.6881976 10790.5493
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 (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2398 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.7661002 22513.8376
Atlantic (26.75,27] cstar_tref ~ sal + aou + 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 + nitrate + silicate + phosphate 2398 2.0453900 10253.1915 13.198931 1982-1999 –> 2000-2012 3.7532317 22541.3727
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2398 2.1090909 10400.2778 20.715247 1982-1999 –> 2000-2012 3.8565956 22832.6381
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 + phosphate_star 2398 1.9733020 10081.1101 13.668184 1982-1999 –> 2000-2012 3.4867147 21610.2701
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 + phosphate 2398 2.1370107 10461.3499 13.373762 1982-1999 –> 2000-2012 3.8855808 22895.5375
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 ~ aou + silicate + phosphate + phosphate_star 1263 2.6364762 6045.0524 27.471250 2000-2012 –> 2013-2019 4.7300390 16405.8891
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1263 2.5534340 5966.2100 22.124060 2000-2012 –> 2013-2019 4.7278634 16510.8101
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 + temp + aou + nitrate + silicate + phosphate 1263 2.5134665 5928.3592 22.501523 2000-2012 –> 2013-2019 4.5588565 16181.5506
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1263 2.5436539 5958.5163 22.533629 2000-2012 –> 2013-2019 4.6527448 16358.7941
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 + phosphate_star 1263 2.2447360 5642.7318 22.401900 2000-2012 –> 2013-2019 4.2180380 15723.8419
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 ~ temp + aou + silicate + phosphate + phosphate_star 1263 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.3413155 15998.1644
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2031 1.8626152 8304.2173 11.021443 1982-1999 –> 2000-2012 3.5644105 18504.3667
Atlantic (27,27.25] cstar_tref ~ sal + 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 + temp + aou + nitrate + silicate + phosphate 2031 1.7886736 8141.6771 12.395499 1982-1999 –> 2000-2012 3.2352503 17495.3358
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2031 1.8059058 8180.6234 11.966964 1982-1999 –> 2000-2012 3.2633567 17573.3900
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 + phosphate_star 2031 1.8598998 8300.2912 12.096683 1982-1999 –> 2000-2012 3.4166128 18037.1230
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 + phosphate 2031 2.0463518 8686.3583 13.496221 1982-1999 –> 2000-2012 3.7135284 18779.1843
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1142 2.1593133 5013.0566 10.465472 2000-2012 –> 2013-2019 4.0219286 13317.2739
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1142 2.2408412 5097.7041 11.555324 2000-2012 –> 2013-2019 4.3317934 13871.6430
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1142 2.3003827 5155.6000 13.777336 2000-2012 –> 2013-2019 4.2152027 13570.0995
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1142 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.1851737 13516.4782
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1142 2.1545634 5010.0268 9.847471 2000-2012 –> 2013-2019 3.9432370 13151.7039
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1142 2.1701740 5026.5156 9.720375 2000-2012 –> 2013-2019 3.9760799 13207.1390
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 + phosphate_star 1142 2.2356057 5094.3615 14.334561 2000-2012 –> 2013-2019 4.0955055 13394.6527
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 (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2025 2.4835165 9444.8868 16.071294 1982-1999 –> 2000-2012 4.9052169 22717.3059
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 2025 2.1625100 8884.3428 12.574713 1982-1999 –> 2000-2012 3.8613513 20116.1247
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2025 2.1590686 8879.8926 12.833625 1982-1999 –> 2000-2012 3.8508069 20089.5577
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2025 2.1552741 8872.7687 13.534987 1982-1999 –> 2000-2012 3.8526638 20101.6301
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2025 2.7127786 9802.4934 22.028851 1982-1999 –> 2000-2012 4.9396802 22592.2216
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2025 2.6640200 9731.0380 20.512425 1982-1999 –> 2000-2012 4.7951012 22269.6071
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2025 2.4063497 9315.0504 11.614926 1982-1999 –> 2000-2012 4.1264292 20616.3452
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2025 2.2664591 9074.4871 13.372191 1982-1999 –> 2000-2012 3.9854665 20374.1931
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2025 2.2547324 9053.4778 15.509020 1982-1999 –> 2000-2012 3.9706310 20342.7650
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1109 3.0051254 5599.7139 21.412798 2000-2012 –> 2013-2019 5.7555576 15456.0350
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 1109 3.0025580 5597.8181 16.245244 2000-2012 –> 2013-2019 5.5311321 15113.5242
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1109 2.9863807 5587.8356 14.517111 2000-2012 –> 2013-2019 5.4698972 15032.7224
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1109 2.7952620 5441.1451 16.992150 2000-2012 –> 2013-2019 5.2467264 14833.4228
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 1109 2.8205406 5461.1132 14.090309 2000-2012 –> 2013-2019 4.9830506 14345.4560
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1109 2.7324635 5392.7473 14.021401 2000-2012 –> 2013-2019 4.8915321 14272.6398
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1109 2.7167456 5379.9518 16.326712 2000-2012 –> 2013-2019 4.8720198 14252.7205
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 1109 3.1081847 5674.5038 12.222568 2000-2012 –> 2013-2019 5.5145344 14989.5543
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1109 2.8123363 5454.6522 14.111336 2000-2012 –> 2013-2019 5.0787954 14529.1392
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1109 2.7923328 5438.8197 16.610907 2000-2012 –> 2013-2019 5.0470652 14492.2975
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2804 2.3843613 12844.3739 16.074344 1982-1999 –> 2000-2012 4.6854817 29678.8092
Atlantic (27.5,27.75] cstar_tref ~ sal + 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 + temp + aou + nitrate + silicate + phosphate 2804 2.3649692 12800.5773 15.837292 1982-1999 –> 2000-2012 4.4315783 28834.3000
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2804 2.4068267 12898.9651 14.694696 1982-1999 –> 2000-2012 4.4687290 28915.6594
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 + phosphate_star 2804 2.3920616 12864.4558 14.588449 1982-1999 –> 2000-2012 4.4507889 28869.6418
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 + nitrate + silicate + 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 + phosphate_star 2804 2.4316201 12952.4392 14.640607 1982-1999 –> 2000-2012 4.5318205 29102.5728
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1515 2.7078202 7331.6999 19.383046 2000-2012 –> 2013-2019 5.0921815 20176.0738
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 1515 2.8745087 7510.7055 15.545879 2000-2012 –> 2013-2019 5.3284002 20514.2749
Atlantic (27.5,27.75] cstar_tref ~ sal + 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 + temp + aou + nitrate + silicate + phosphate 1515 2.6919437 7315.8822 19.886060 2000-2012 –> 2013-2019 5.0569129 20116.4595
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1515 2.7598095 7391.3236 21.104764 2000-2012 –> 2013-2019 5.1666363 20290.2887
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 + phosphate_star 1515 2.8637502 7503.3438 16.355938 2000-2012 –> 2013-2019 5.2558118 20367.7996
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 + nitrate + silicate + phosphate_star 1515 2.8833164 7521.9755 16.841839 2000-2012 –> 2013-2019 5.2981836 20437.6440
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 (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate 1036 1.6166443 3947.3312 14.036706 1982-1999 –> 2000-2012 3.2995903 9079.5698
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + 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 + 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 + temp + aou + nitrate + phosphate 1036 1.5197119 3821.2156 14.808950 1982-1999 –> 2000-2012 3.0586861 8719.3599
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + 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 + nitrate + silicate + phosphate 1036 1.5041247 3801.8541 13.515384 1982-1999 –> 2000-2012 3.0308360 8680.8779
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1036 1.5786261 3902.0224 13.525966 1982-1999 –> 2000-2012 3.1870778 8918.7383
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 + phosphate + phosphate_star 1036 1.5167237 3819.1375 12.205256 1982-1999 –> 2000-2012 3.0692607 8742.4457
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate 513 1.7818523 2060.5034 13.626298 2000-2012 –> 2013-2019 3.3984967 6007.8346
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + 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 + 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 + temp + aou + nitrate + phosphate 513 1.7242945 2028.8142 13.967079 2000-2012 –> 2013-2019 3.2440064 5850.0298
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 513 1.6731627 1999.9292 11.689855 2000-2012 –> 2013-2019 3.1772874 5801.7833
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 513 1.7656323 2055.1211 11.404860 2000-2012 –> 2013-2019 3.3442584 5957.1435
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 + phosphate_star 513 1.6452734 1982.6831 11.380188 2000-2012 –> 2013-2019 3.1619970 5801.8206
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 + nitrate + silicate + phosphate_star 513 1.8185913 2083.4428 12.157352 2000-2012 –> 2013-2019 3.4483969 6049.5740
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 983 3.4444208 5231.0950 40.406696 1982-1999 –> 2000-2012 6.3613830 11892.9889
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 983 3.4332878 5226.7302 38.381356 1982-1999 –> 2000-2012 6.3108859 11854.3203
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 983 3.4396213 5230.3536 36.781212 1982-1999 –> 2000-2012 6.1696286 11717.2584
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 983 3.4272905 5225.2930 34.214054 1982-1999 –> 2000-2012 6.1571686 11714.0714
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 983 3.6814947 5367.9580 45.887217 1982-1999 –> 2000-2012 6.3583092 11806.2864
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 983 3.7119447 5384.1521 36.623103 1982-1999 –> 2000-2012 6.3933626 11827.0716
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 ~ sal + temp + aou + silicate + phosphate + phosphate_star 983 2.9168969 4910.2762 23.384895 1982-1999 –> 2000-2012 5.6443939 11398.7229
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 ~ 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 + temp + aou + nitrate + phosphate 569 3.2167027 2958.3421 28.783818 2000-2012 –> 2013-2019 6.9174456 8334.5523
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 + nitrate + silicate + phosphate 569 3.1995952 2954.2737 28.955615 2000-2012 –> 2013-2019 6.8810899 8322.2317
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 569 3.2125472 2958.8710 29.286071 2000-2012 –> 2013-2019 6.9244919 8343.0231
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 + phosphate_star 569 3.3016373 2990.0003 28.844568 2000-2012 –> 2013-2019 6.2185342 7900.2765
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 (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1204 4.1624092 6864.8384 29.399782 1982-1999 –> 2000-2012 7.7397732 15907.6675
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 1204 4.2522303 6914.2482 32.185459 1982-1999 –> 2000-2012 7.9298382 16047.7141
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1204 4.0777772 6815.3733 23.711962 1982-1999 –> 2000-2012 8.0064682 16172.2180
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 + aou + nitrate + silicate + phosphate 1204 3.9222390 6723.7277 25.772111 1982-1999 –> 2000-2012 7.4530630 15724.6625
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1204 3.7823633 6636.2844 25.986558 1982-1999 –> 2000-2012 7.1374854 15466.1228
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + 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 + phosphate_star 1204 4.0815088 6815.5758 22.528945 1982-1999 –> 2000-2012 8.1122385 16256.3696
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1204 3.9682210 6749.7934 25.265565 1982-1999 –> 2000-2012 7.6108086 15853.1867
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1204 3.8590720 6682.6316 25.099675 1982-1999 –> 2000-2012 7.3908813 15682.5017
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 666 3.4782139 3564.3893 31.711472 2000-2012 –> 2013-2019 7.6406231 10429.2278
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 666 3.4911012 3567.3155 32.690239 2000-2012 –> 2013-2019 7.7433315 10481.5637
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 666 3.6493459 3628.3640 25.269047 2000-2012 –> 2013-2019 7.7271231 10443.7373
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 + aou + nitrate + silicate + phosphate 666 3.3641621 3521.9804 29.280436 2000-2012 –> 2013-2019 7.2864010 10245.7081
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 666 3.2653123 3482.2555 28.858479 2000-2012 –> 2013-2019 7.0476756 10118.5400
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + 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 + phosphate_star 666 3.8465745 3696.4739 22.933854 2000-2012 –> 2013-2019 7.9280833 10512.0498
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 666 3.5417278 3588.4929 27.962736 2000-2012 –> 2013-2019 7.5099488 10338.2863
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 666 3.5060655 3575.0128 26.986021 2000-2012 –> 2013-2019 7.3651375 10257.6443
Atlantic (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 + temp + aou + nitrate + phosphate 804 1.0272609 2338.9019 6.919786 1982-1999 –> 2000-2012 1.9211969 5165.1730
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 + nitrate + silicate + phosphate 804 1.0271681 2340.7565 6.954774 1982-1999 –> 2000-2012 1.9164248 5157.7335
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 804 1.0369869 2356.0547 6.715094 1982-1999 –> 2000-2012 1.9381817 5201.7295
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 + phosphate + phosphate_star 804 0.9873842 2277.2379 8.903940 1982-1999 –> 2000-2012 1.8184314 4948.5258
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 ~ 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 ~ 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 + temp + aou + nitrate + phosphate 434 1.0500656 1288.0427 7.506976 2000-2012 –> 2013-2019 2.0773265 3626.9446
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + 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 + nitrate + silicate + phosphate 434 1.0499373 1289.9367 7.462843 2000-2012 –> 2013-2019 2.0771054 3630.6932
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 434 1.0592065 1297.5660 7.215965 2000-2012 –> 2013-2019 2.0961934 3653.6207
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 + phosphate_star 434 1.0173491 1262.5685 9.266596 2000-2012 –> 2013-2019 2.0047333 3539.8065
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 + silicate + phosphate + phosphate_star 434 1.0672164 1302.1053 7.231208 2000-2012 –> 2013-2019 2.1084324 3662.7045
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 + temp + aou + nitrate + phosphate 936 0.7657655 2170.6548 5.940365 1982-1999 –> 2000-2012 1.4035442 4694.8171
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 + nitrate + silicate + phosphate 936 0.7640886 2168.5510 5.837831 1982-1999 –> 2000-2012 1.3982844 4680.1221
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 936 0.7688797 2180.2524 5.791348 1982-1999 –> 2000-2012 1.4095807 4718.2549
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 + phosphate + phosphate_star 936 0.7361194 2098.7416 6.952808 1982-1999 –> 2000-2012 1.3184348 4389.2677
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 936 0.7691115 2178.8167 5.746491 1982-1999 –> 2000-2012 1.4118046 4722.8599
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 ~ 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 ~ 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 + temp + aou + nitrate + phosphate 497 0.8772737 1294.2742 6.030801 2000-2012 –> 2013-2019 1.6430391 3464.9290
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 497 0.8755192 1294.2844 5.936568 2000-2012 –> 2013-2019 1.6396078 3462.8354
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 497 0.8844703 1304.3952 5.868006 2000-2012 –> 2013-2019 1.6533500 3484.6476
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 + phosphate + phosphate_star 497 0.8110670 1218.2767 8.149465 2000-2012 –> 2013-2019 1.5471864 3317.0183
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 (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1540 0.5708735 2657.7209 2.069091 1982-1999 –> 2000-2012 1.1129914 6259.7747
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1540 0.5471615 2527.0561 2.040783 1982-1999 –> 2000-2012 1.0648603 5924.1022
Atlantic (28.15,28.2] cstar_tref ~ sal + 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 1540 0.5815984 2715.0475 2.055947 1982-1999 –> 2000-2012 1.1075765 6182.6649
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 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 + nitrate + silicate + phosphate 1540 0.5518264 2555.2039 2.055332 1982-1999 –> 2000-2012 1.0709454 5966.4351
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1540 0.5471535 2529.0112 2.040266 1982-1999 –> 2000-2012 1.0636401 5917.6295
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + 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 + nitrate + silicate + phosphate_star 1540 0.5576121 2585.3284 2.314250 1982-1999 –> 2000-2012 1.1076613 6251.9858
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate 819 0.7700200 1908.1484 4.408394 2000-2012 –> 2013-2019 1.3834483 4785.3081
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 + 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 + nitrate + silicate + phosphate_star 819 0.7372762 1838.9708 4.731734 2000-2012 –> 2013-2019 1.2844377 4366.0269
Atlantic (28.15,28.2] cstar_tref ~ sal + 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 819 0.7440089 1853.8609 4.415910 2000-2012 –> 2013-2019 1.3256073 4568.9084
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 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 + nitrate + silicate + phosphate 819 0.7414434 1850.2030 4.701383 2000-2012 –> 2013-2019 1.2932698 4405.4068
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 819 0.7371953 1840.7912 4.722592 2000-2012 –> 2013-2019 1.2843489 4369.8023
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 2693 0.3492775 1988.9312 1.996120 1982-1999 –> 2000-2012 0.6514829 3650.7698
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 + phosphate 2693 0.3242828 1591.0173 2.115462 1982-1999 –> 2000-2012 0.6239944 3193.3546
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2693 0.3463114 1944.9979 1.900529 1982-1999 –> 2000-2012 0.6453988 3531.8596
Atlantic (28.2, Inf] cstar_tref ~ sal + 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 2693 0.3471287 1957.6942 2.120895 1982-1999 –> 2000-2012 0.6488928 3610.6857
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + 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 2693 0.3584097 2129.9437 2.006883 1982-1999 –> 2000-2012 0.6622526 3833.8894
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2693 0.3242570 1592.5877 2.108998 1982-1999 –> 2000-2012 0.6217599 3142.0281
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2693 0.3252382 1608.8612 2.107725 1982-1999 –> 2000-2012 0.6235338 3178.0490
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 1557 0.3868691 1473.3053 2.525540 2000-2012 –> 2013-2019 0.7361466 3462.2365
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 1557 0.3991609 1570.7062 2.411345 2000-2012 –> 2013-2019 0.7532114 3632.7401
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 1557 0.4110188 1661.8663 2.465092 2000-2012 –> 2013-2019 0.7698225 3795.7273
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1557 0.3502557 1165.7023 2.704232 2000-2012 –> 2013-2019 0.6745385 2756.7196
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1557 0.3901368 1501.4981 2.457959 2000-2012 –> 2013-2019 0.7364483 3446.4960
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1557 0.3800118 1419.6148 2.702494 2000-2012 –> 2013-2019 0.7271406 3377.3089
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + 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 1557 0.4078439 1639.7187 2.585072 2000-2012 –> 2013-2019 0.7662535 3769.6624
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1557 0.3499444 1164.9339 2.736657 2000-2012 –> 2013-2019 0.6742014 2757.5216
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1557 0.3517129 1180.6317 2.735288 2000-2012 –> 2013-2019 0.6769511 2789.4928
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 + temp + aou + nitrate + phosphate 5288 6.0145280 33995.9192 33.811166 1982-1999 –> 2000-2012 12.3312392 80939.0253
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + 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 + nitrate + silicate + phosphate 5288 5.9717691 33922.4629 33.344196 1982-1999 –> 2000-2012 12.2304017 80734.6862
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 5288 6.0193373 34006.3725 33.525175 1982-1999 –> 2000-2012 12.3192746 80913.2262
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 + phosphate_star 5288 6.1901333 34302.2831 29.448378 1982-1999 –> 2000-2012 12.6684777 81610.8702
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 + temp + aou + nitrate + phosphate 2816 5.7297950 17837.1302 28.456699 2000-2012 –> 2013-2019 11.7443230 51833.0493
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + 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 + nitrate + silicate + phosphate 2816 5.6630293 17773.1187 26.656155 2000-2012 –> 2013-2019 11.6347984 51695.5816
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2816 5.7089593 17818.6127 26.887019 2000-2012 –> 2013-2019 11.7282966 51824.9853
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 + phosphate_star 2816 5.8769624 17981.9592 24.045379 2000-2012 –> 2013-2019 12.0670956 52284.2423
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2816 5.9257831 18026.5518 27.359693 2000-2012 –> 2013-2019 12.3060994 52646.8759
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 5525 4.8200707 33072.5849 52.205037 1982-1999 –> 2000-2012 9.2469170 77918.3835
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 5525 4.4061232 32082.3678 47.078239 1982-1999 –> 2000-2012 8.4591499 75569.4077
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 5525 4.4704675 32242.5684 45.886023 1982-1999 –> 2000-2012 8.5687687 75900.9471
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 + phosphate_star 5525 4.5297005 32388.0177 42.929136 1982-1999 –> 2000-2012 8.7728485 76582.1167
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 + 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 + nitrate + silicate + phosphate_star 5525 4.7555301 32923.6260 49.041150 1982-1999 –> 2000-2012 9.1671720 77716.3587
Indo-Pacific (26,26.5] cstar_tref ~ 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 + nitrate + phosphate 2918 4.7212174 17352.7865 54.105676 2000-2012 –> 2013-2019 9.5412882 50425.3714
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2918 4.2631014 16759.1074 51.269363 2000-2012 –> 2013-2019 8.6692246 48841.4752
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2918 4.3372834 16859.7858 48.195586 2000-2012 –> 2013-2019 8.8077509 49102.3542
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 + phosphate_star 2918 4.4724453 17038.8757 46.346036 2000-2012 –> 2013-2019 9.0021458 49426.8935
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 ~ temp + aou + nitrate + silicate + phosphate 2918 4.5489045 17135.8025 48.107779 2000-2012 –> 2013-2019 9.2781828 49998.2607
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2918 4.5715543 17164.7889 45.715284 2000-2012 –> 2013-2019 9.3270844 50088.4149
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 4544 3.9690317 25437.3229 27.777704 1982-1999 –> 2000-2012 7.8080369 60213.2957
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 + nitrate + silicate + phosphate 4544 3.8686141 25206.4352 27.053829 1982-1999 –> 2000-2012 7.6376832 59753.1959
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4544 3.9296335 25348.6610 27.198419 1982-1999 –> 2000-2012 7.7507285 60067.8257
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 + aou + silicate + phosphate + phosphate_star 4544 3.8865474 25248.4661 26.552236 1982-1999 –> 2000-2012 7.6319717 59716.0842
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + 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 + nitrate + silicate + phosphate 4544 3.9535838 25401.8824 28.364134 1982-1999 –> 2000-2012 7.8828091 60469.9835
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 ~ 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 + aou + nitrate + phosphate 2447 4.3013059 14098.2332 32.116974 2000-2012 –> 2013-2019 8.2703377 39535.5561
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2447 4.2001695 13983.7864 31.635505 2000-2012 –> 2013-2019 8.0687836 39190.2216
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2447 4.2588719 14051.7123 31.689980 2000-2012 –> 2013-2019 8.1885054 39400.3733
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2447 4.2282323 14016.3761 23.095241 2000-2012 –> 2013-2019 8.1147797 39264.8422
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + 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 + 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 + nitrate + silicate + phosphate_star 2447 4.3225383 14122.3318 31.664753 2000-2012 –> 2013-2019 8.3443672 39679.7489
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + 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 + nitrate + silicate + 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 + phosphate + phosphate_star 5354 4.5232238 31366.7748 18.928405 1982-1999 –> 2000-2012 8.5202080 73619.8323
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 5354 4.3077986 30844.2463 21.980567 1982-1999 –> 2000-2012 7.9956057 71884.6902
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5354 4.2906105 30803.4359 21.052395 1982-1999 –> 2000-2012 7.9645082 71788.9629
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5354 4.4804315 31266.9886 23.528787 1982-1999 –> 2000-2012 8.3787228 73145.4692
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 5354 4.4187612 31120.5761 21.954360 1982-1999 –> 2000-2012 8.2722942 72827.1217
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 + phosphate 5354 4.5574581 31449.5139 20.690367 1982-1999 –> 2000-2012 8.5060700 73521.1761
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 5354 4.1333789 30405.6653 21.215537 1982-1999 –> 2000-2012 7.6969339 70933.8839
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 ~ aou + phosphate + phosphate_star 2868 4.9134802 17280.6429 19.343238 2000-2012 –> 2013-2019 9.4538414 48685.9111
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2868 4.9018613 17269.0630 18.494849 2000-2012 –> 2013-2019 9.4250851 48635.8378
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 2868 4.6612052 16980.3073 20.095371 2000-2012 –> 2013-2019 8.9690038 47824.5536
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2868 4.6499950 16968.4956 19.282213 2000-2012 –> 2013-2019 8.9406055 47771.9315
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2868 4.8368720 17194.5060 22.935453 2000-2012 –> 2013-2019 9.3173034 48461.4946
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2868 4.7807119 17129.5166 21.421250 2000-2012 –> 2013-2019 9.1994731 48250.0927
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 + phosphate + phosphate_star 2868 4.5159063 16802.6588 17.625584 2000-2012 –> 2013-2019 8.6492852 47208.3242
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 (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6466 4.3929768 37503.1646 41.945012 1982-1999 –> 2000-2012 7.9587117 85065.6810
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 6466 4.0213515 36362.1175 49.781672 1982-1999 –> 2000-2012 7.2500756 82171.9038
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 6466 4.1504863 36770.8653 50.128950 1982-1999 –> 2000-2012 7.4916899 83185.8811
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6466 4.2956539 37213.4453 48.286060 1982-1999 –> 2000-2012 7.8087443 84513.0773
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 6466 3.9241316 36045.6333 33.497688 1982-1999 –> 2000-2012 7.1732307 81966.6016
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6466 4.6189456 38151.8258 73.211721 1982-1999 –> 2000-2012 8.0594275 85082.3436
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6466 4.0268865 36377.9050 48.755703 1982-1999 –> 2000-2012 7.2867928 82355.5633
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6466 4.1535561 36778.4265 49.359080 1982-1999 –> 2000-2012 7.5202091 83325.5519
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 6466 4.3599345 37403.5276 46.003290 1982-1999 –> 2000-2012 7.9680032 85172.6402
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6466 3.9500266 36128.6900 31.512269 1982-1999 –> 2000-2012 7.2528573 82337.5496
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3470 4.9830367 21007.3475 27.071879 2000-2012 –> 2013-2019 9.3334653 58384.6488
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3470 5.0789520 21139.6617 33.597697 2000-2012 –> 2013-2019 9.4719288 58642.8263
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3470 4.8373338 20803.3975 36.256037 2000-2012 –> 2013-2019 8.8586853 57165.5150
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 3470 4.9711412 20992.7604 35.973085 2000-2012 –> 2013-2019 9.1216274 57763.6257
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3470 5.0651721 21120.8069 42.030410 2000-2012 –> 2013-2019 9.3608260 58334.2522
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3470 4.4451810 20216.6683 27.341770 2000-2012 –> 2013-2019 8.3693126 56262.3016
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3470 4.8388654 20803.5946 35.817177 2000-2012 –> 2013-2019 8.8657519 57181.4995
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3470 4.9716940 20991.5322 35.708885 2000-2012 –> 2013-2019 9.1252501 57769.9588
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 3470 5.1322261 21210.0776 39.784583 2000-2012 –> 2013-2019 9.4921606 58613.6052
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3470 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.4223646 56385.6280
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate 5847 3.6227030 31657.8230 34.491357 1982-1999 –> 2000-2012 6.6939806 71777.4746
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5847 3.4547220 31104.6102 30.937998 1982-1999 –> 2000-2012 6.4103930 70620.6620
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5847 3.4261572 31007.5182 32.305003 1982-1999 –> 2000-2012 6.3475428 70339.4077
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 5847 3.3997493 30919.0348 32.211492 1982-1999 –> 2000-2012 6.2978740 70126.7447
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 5847 3.4261086 31009.3523 32.264992 1982-1999 –> 2000-2012 6.3449896 70329.7042
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 5847 3.6349919 31699.4240 32.897992 1982-1999 –> 2000-2012 6.6737213 71652.9104
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 5847 3.2565652 30415.8576 32.882574 1982-1999 –> 2000-2012 6.0927645 69282.6491
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5847 3.6434273 31726.5299 33.075508 1982-1999 –> 2000-2012 6.6965461 71754.5823
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5847 3.5979957 31579.7952 32.877171 1982-1999 –> 2000-2012 6.6519583 71612.2093
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5847 3.3461863 30731.3292 33.390589 1982-1999 –> 2000-2012 6.2704796 70078.9213
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate 3127 4.2427270 17924.3614 33.367400 2000-2012 –> 2013-2019 7.8654301 49582.1844
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3127 4.0139968 17579.7723 29.726264 2000-2012 –> 2013-2019 7.4687188 48684.3824
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3127 3.9776245 17522.8442 31.036835 2000-2012 –> 2013-2019 7.4037817 48530.3624
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3127 3.9490210 17479.7087 31.161945 2000-2012 –> 2013-2019 7.3487704 48398.7435
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 3127 3.9771401 17524.0826 31.219718 2000-2012 –> 2013-2019 7.4032487 48533.4348
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3127 4.2298938 17907.4158 32.750414 2000-2012 –> 2013-2019 7.8648856 49606.8398
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3127 3.7363167 17133.4407 33.056947 2000-2012 –> 2013-2019 6.9928819 47549.2983
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3127 4.0652536 17659.1273 34.878738 2000-2012 –> 2013-2019 7.6535356 49207.3087
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3127 4.2035697 17868.3735 30.955479 2000-2012 –> 2013-2019 7.8015654 49448.1686
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3127 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.1899105 48040.0175
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5836 3.2683124 30398.6938 24.119856 1982-1999 –> 2000-2012 5.5822735 67013.2424
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5836 3.2280103 30253.8699 9.417658 1982-1999 –> 2000-2012 5.5715676 67074.4342
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 5836 3.1290994 29892.6288 11.691571 1982-1999 –> 2000-2012 5.4155598 66315.3726
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 5836 3.1364102 29919.8673 11.159560 1982-1999 –> 2000-2012 5.4363003 66437.5434
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 + phosphate_star 5836 3.0038077 29415.6584 11.950018 1982-1999 –> 2000-2012 5.2195159 65328.8752
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + 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 + nitrate + silicate + phosphate 5836 3.1294481 29891.9296 12.455483 1982-1999 –> 2000-2012 5.4998999 66897.4594
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + 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 + aou + nitrate + silicate 3104 3.6736333 16900.5032 10.209719 2000-2012 –> 2013-2019 6.8651581 47021.6955
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3104 3.6528449 16867.2734 10.285132 2000-2012 –> 2013-2019 6.7819443 46759.9022
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 3104 3.6571537 16874.5919 10.285610 2000-2012 –> 2013-2019 6.7935638 46794.4592
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3104 3.7197021 16975.8697 10.325293 2000-2012 –> 2013-2019 6.9432174 47211.4751
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 + phosphate + phosphate_star 3104 3.4928406 16589.2112 14.401213 2000-2012 –> 2013-2019 6.4966483 46004.8695
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3104 3.7079082 16958.1551 10.354380 2000-2012 –> 2013-2019 6.8883307 47038.6736
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3104 3.7023122 16948.7788 17.138991 2000-2012 –> 2013-2019 6.8317603 46840.7084
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3104 3.7970417 17103.6222 16.783216 2000-2012 –> 2013-2019 6.9794834 47189.5487
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 (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2317 2.7304690 11242.0909 21.046900 1982-1999 –> 2000-2012 4.6623579 24262.9999
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + 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 + temp + aou + nitrate + silicate + phosphate 2317 2.7290716 11243.7187 21.874695 1982-1999 –> 2000-2012 4.6489207 24229.4797
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2317 2.7249293 11236.6796 21.726339 1982-1999 –> 2000-2012 4.6499297 24239.2206
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 ~ sal + temp + aou + silicate + phosphate 2317 2.7379203 11256.7195 21.095496 1982-1999 –> 2000-2012 4.6714212 24284.8516
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2317 2.6295577 11071.5849 21.740452 1982-1999 –> 2000-2012 4.5142019 23941.4519
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + 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 + nitrate + silicate + phosphate_star 2317 2.7271269 11238.4154 21.453348 1982-1999 –> 2000-2012 4.6635446 24275.9866
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + 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 ~ sal + aou + nitrate + silicate + phosphate 1264 3.1499466 6501.6671 31.458612 2000-2012 –> 2013-2019 5.8945181 17769.6304
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1264 3.1358059 6490.2930 31.989646 2000-2012 –> 2013-2019 5.8629052 17728.6613
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1264 3.1488202 6498.7630 29.448400 2000-2012 –> 2013-2019 5.8762396 17735.6753
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1264 3.1407362 6496.2645 32.752513 2000-2012 –> 2013-2019 5.8698079 17739.9832
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1264 3.1353302 6491.9094 32.396212 2000-2012 –> 2013-2019 5.8602594 17728.5889
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 + aou + silicate + phosphate + phosphate_star 1264 2.9813479 6364.6019 31.895420 2000-2012 –> 2013-2019 5.6109056 17436.1868
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + 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 (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2907 2.7464377 14137.6201 28.678001 1982-1999 –> 2000-2012 4.8641616 31549.2489
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 + aou + nitrate + silicate + phosphate 2907 2.7443195 14135.1344 28.360299 1982-1999 –> 2000-2012 4.8604268 31542.6386
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2907 2.7451487 14136.8908 28.385403 1982-1999 –> 2000-2012 4.8641295 31555.2783
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + 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 2907 2.7478439 14138.5961 28.465495 1982-1999 –> 2000-2012 4.8664105 31551.4157
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 2907 2.7487099 14140.4282 28.492785 1982-1999 –> 2000-2012 4.8701028 31563.9400
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 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 + nitrate + silicate + phosphate_star 2907 2.7457460 14136.1557 28.208152 1982-1999 –> 2000-2012 4.8664196 31558.9474
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2907 2.7621671 14168.8231 31.138313 1982-1999 –> 2000-2012 4.8840444 31594.1657
Indo-Pacific (27.85,27.95] cstar_tref ~ 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 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 + nitrate + silicate + phosphate 1542 3.2907119 8065.3710 32.095568 2000-2012 –> 2013-2019 6.0350315 22200.5054
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1542 3.2884173 8063.2197 32.107973 2000-2012 –> 2013-2019 6.0335661 22200.1106
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1542 3.2626839 8038.9911 37.598501 2000-2012 –> 2013-2019 6.0483152 22260.9946
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1542 3.2911505 8063.7820 33.261190 2000-2012 –> 2013-2019 6.0532372 22234.4357
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 1542 3.3046795 8074.4335 31.424170 2000-2012 –> 2013-2019 6.0531124 22214.2756
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 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 + nitrate + silicate + phosphate_star 1542 3.2946985 8067.1049 31.554855 2000-2012 –> 2013-2019 6.0404446 22203.2606
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1542 3.2637446 8037.9935 37.426960 2000-2012 –> 2013-2019 6.0494318 22258.1136
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 + temp + aou + nitrate + silicate 2467 2.1868435 10875.6962 8.583791 1982-1999 –> 2000-2012 4.0752629 25449.1497
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2467 2.1560629 10807.7551 8.090281 1982-1999 –> 2000-2012 4.0424086 25375.4231
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2467 2.1555668 10806.6196 8.083332 1982-1999 –> 2000-2012 4.0422093 25375.4025
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2467 2.2194485 10948.7174 8.518833 1982-1999 –> 2000-2012 4.1159015 25552.2518
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2467 2.1669752 10832.6643 8.102243 1982-1999 –> 2000-2012 4.0291385 25308.9041
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2467 2.2200573 10950.0706 8.511640 1982-1999 –> 2000-2012 4.1179944 25559.1480
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + 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 + phosphate + phosphate_star 2467 2.2201767 10950.3359 8.520844 1982-1999 –> 2000-2012 4.1180377 25559.1292
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 ~ sal + aou + nitrate + phosphate_star 1354 2.4060015 6232.0181 8.104133 2000-2012 –> 2013-2019 4.6173063 17160.5981
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1354 2.4007452 6228.0956 8.259744 2000-2012 –> 2013-2019 4.5943605 17119.0470
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1354 2.3949270 6221.5248 8.259385 2000-2012 –> 2013-2019 4.5805806 17094.5357
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + 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 + phosphate 1354 2.3851377 6212.4332 8.081850 2000-2012 –> 2013-2019 4.5412006 17020.1883
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1354 2.3838054 6210.9200 8.096156 2000-2012 –> 2013-2019 4.5393721 17017.5396
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1354 2.4042191 6234.0112 8.580453 2000-2012 –> 2013-2019 4.5711943 17066.6755
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate 1354 2.3989137 6224.0289 7.921483 2000-2012 –> 2013-2019 4.6236462 17182.4790
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + 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 (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 + temp + aou + nitrate + silicate + phosphate 1718 1.8460772 6997.9571 9.791021 1982-1999 –> 2000-2012 3.4264679 16599.6844
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1718 1.8483242 7002.1367 9.756996 1982-1999 –> 2000-2012 3.4323776 16615.6885
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 + phosphate_star 1718 1.7729967 6859.1708 9.239349 1982-1999 –> 2000-2012 3.3162971 16339.5889
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + 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 + nitrate + silicate + phosphate_star 1718 1.8567455 7015.7563 9.427843 1982-1999 –> 2000-2012 3.4637142 16700.6720
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 ~ temp + aou + nitrate + silicate + phosphate 1718 1.8576083 7017.3526 10.254032 1982-1999 –> 2000-2012 3.4609842 16690.8353
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 ~ 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 + temp + aou + nitrate + silicate + phosphate 966 2.0453831 4139.8997 9.746036 2000-2012 –> 2013-2019 3.8914603 11137.8567
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 966 2.0455548 4140.0618 9.712039 2000-2012 –> 2013-2019 3.8938789 11142.1985
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 + phosphate_star 966 1.9441954 4041.8760 8.956172 2000-2012 –> 2013-2019 3.7171920 10901.0468
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + 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 + nitrate + silicate + phosphate 966 2.0483772 4140.7257 9.785200 2000-2012 –> 2013-2019 3.9169687 11178.3340
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 966 2.0462976 4138.7633 9.594209 2000-2012 –> 2013-2019 3.9030431 11154.5196
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 ~ temp + aou + silicate + phosphate + phosphate_star 966 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.8033978 11010.0164
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 14627 1.2494600 48038.8292 11.951281 1982-1999 –> 2000-2012 2.3095030 108132.5045
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 14627 1.2268725 47507.1424 13.475607 1982-1999 –> 2000-2012 2.2591107 106521.8086
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 14627 1.2297367 47575.3572 13.482682 1982-1999 –> 2000-2012 2.2639071 106666.0832
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 14627 1.3376697 50036.4669 16.194109 1982-1999 –> 2000-2012 2.4995816 113863.9169
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14627 1.3376755 50034.5935 16.199862 1982-1999 –> 2000-2012 2.5064341 114098.9931
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + 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 + phosphate_star 14627 1.3376891 50032.8912 16.220724 1982-1999 –> 2000-2012 2.5073460 114126.5367
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14627 1.3529440 50366.6138 13.068005 1982-1999 –> 2000-2012 2.4639859 112371.3228
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14627 1.3692488 50717.0570 13.004762 1982-1999 –> 2000-2012 2.4951048 113260.4541
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 7804 1.4123708 27549.7620 9.529089 2000-2012 –> 2013-2019 2.6618308 75588.5913
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + 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 + temp + aou + nitrate + silicate + phosphate 7804 1.3952422 27361.3180 10.595906 2000-2012 –> 2013-2019 2.6221147 74868.4604
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 7804 1.3981579 27393.9012 10.590632 2000-2012 –> 2013-2019 2.6278946 74969.2583
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 + phosphate_star 7804 1.4919182 28406.9705 12.691344 2000-2012 –> 2013-2019 2.8295879 78443.4374
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 + 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

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 2.3779527 1200.9326
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 2.2086273 717.6899
Atlantic (26,26.5] 1982-1999 –> 2000-2012 6.8537623 13651.4414
Atlantic (26,26.5] 2000-2012 –> 2013-2019 6.8234509 8570.5225
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.3404935 16941.7738
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 6.6211925 10751.3572
Atlantic (26.75,27] 1982-1999 –> 2000-2012 3.7632392 22514.3622
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.5891443 16256.2883
Atlantic (27,27.25] 1982-1999 –> 2000-2012 3.4756552 18183.8946
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.1419448 13475.1051
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 4.3144970 21162.1864
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 5.2390311 14731.7512
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 4.4964934 29015.8597
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 5.2283473 20347.9274
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 3.1798748 8899.9037
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 3.3258836 5940.4903
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 6.1005913 11693.1922
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 6.7315815 8191.9146
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 7.6998273 15909.7382
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 7.5427027 10361.4606
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 1.9086667 5135.4981
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.0780579 3627.8112
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.3922425 4649.2977
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.6323189 3451.0980
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.0953649 6128.8525
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.3237767 4538.0467
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 0.6445907 3532.4400
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 0.7242344 3317.0654
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 12.6091973 81485.6265
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 12.0071304 52198.8240
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 8.9051852 76943.8154
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 9.1385834 49690.8772
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 7.7834866 60153.1223
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.2231701 39454.4852
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 8.0794342 72182.2624
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 9.0162119 47895.9012
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 7.5769742 83517.6793
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 9.0421373 57650.3861
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.4480250 70757.5266
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 7.4992729 48758.0740
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.4774667 66639.2759
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 6.8320445 46884.2986
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.6331957 24201.4745
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.8178741 17678.6979
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.8688427 31561.4981
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.0452517 22220.1680
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.0820954 25464.3317
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.5844175 17099.4533
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.4326861 16626.2461
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.8701920 11108.4003
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 2.4301796 111673.7030
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 2.7726067 77452.9024

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 - 7).

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

6.1.2 Best models

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

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

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

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

6.2.2 Best models

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

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

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

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 10 4 7 7 10 6 8
(26,26.5] 10 6 5 5 10 7 9
(26.5,26.75] 9 3 8 7 7 10 8
(26.75,27] 9 3 8 7 7 10 8
(27,27.25] 9 4 8 5 9 10 7
(27.25,27.5] 10 7 6 4 7 10 8
(27.5,27.75] 7 4 6 7 10 10 8
(27.75,27.85] 10 6 8 5 10 6 7
(27.85,27.95] 10 2 9 9 6 6 6
(27.95,28.05] 8 10 6 4 7 7 8
(28.05,28.1] 9 4 8 7 9 7 9
(28.1,28.15] 9 4 7 7 9 8 9
(28.15,28.2] 10 10 4 4 8 7 8
(28.2, Inf] 10 10 4 4 10 5 6
total 130.00 77.00 94.00 82.00 119.00 109.00 109.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 9 5 6 6 10 8 9
(26,26.5] 10 6 5 5 10 7 9
(26.5,26.75] 9 4 8 6 8 10 8
(26.75,27] 10 3 8 6 8 10 6
(27,27.25] 9 4 7 6 10 10 6
(27.25,27.5] 10 10 3 4 6 10 6
(27.5,27.75] 8 4 7 6 10 10 7
(27.75,27.85] 9 6 7 5 10 8 7
(27.85,27.95] 10 4 8 8 8 5 8
(27.95,28.05] 8 10 6 4 7 7 8
(28.05,28.1] 9 4 7 7 10 7 9
(28.1,28.15] 9 3 9 6 10 6 8
(28.15,28.2] 10 10 4 4 10 5 6
(28.2, Inf] 10 10 4 4 10 6 5
total 130.00 83.00 89.00 77.00 127.00 109.00 102.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 10 4 8 6 10 5 8
(26,26.5] 9 5 7 6 8 9 9
(26.5,26.75] 9 6 7 6 8 8 9
(26.75,27] 10 2 10 7 7 6 7
(27,27.25] 9 5 7 8 6 8 9
(27.25,27.5] 9 6 8 5 7 10 7
(27.5,27.75] 7 4 7 6 10 10 8
(27.75,27.85] 10 4 8 7 6 9 8
(27.85,27.95] 8 10 4 6 5 6 10
(27.95,28.05] 8 4 6 7 9 10 9
(28.05,28.1] 8 4 7 7 8 10 9
(28.1, Inf] 7 6 5 7 8 10 9
total 104.00 60.00 84.00 78.00 92.00 101.00 102.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 9 5 7 7 10 6 8
(26,26.5] 9 5 7 6 8 9 9
(26.5,26.75] 8 7 6 7 6 9 9
(26.75,27] 10 2 10 8 6 5 6
(27,27.25] 10 5 8 7 6 8 8
(27.25,27.5] 9 7 8 4 7 10 7
(27.5,27.75] 7 4 6 4 10 10 10
(27.75,27.85] 8 6 6 8 8 8 7
(27.85,27.95] 9 8 4 6 6 9 10
(27.95,28.05] 8 8 6 6 9 6 8
(28.05,28.1] 7 4 7 7 9 10 9
(28.1, Inf] 7 4 6 7 10 10 8
total 101.00 65.00 81.00 77.00 95.00 100.00 99.00

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

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

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

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

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

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

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

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