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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

3 Apply predictor threshold

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

  • Minimum: 2
  • Maximum: 5
lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

  • 86

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)
      
      for (i_predictors in unique(lm_all$predictors)) {
        # i_predictors <- unique(lm_all$predictors)[110]
        
        # 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()
        
        # fit model
        i_lm_fit <- lm(as.formula(i_lm),
                       data = GLODAP_basin_era_slab)
        
        # find max predictor correlation
        i_cor_max <- GLODAP_basin_era_slab %>%
          select(!!!syms(str_split(i_predictors, " ",
                                   simplify = TRUE))) %>%
          correlate(quiet = TRUE) %>%
          select(-term) %>%
          abs() %>%
          max(na.rm = TRUE)
        
        # calculate root mean squared error
        i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                         length(i_lm_fit$residuals))
        
        # calculate maximum residual
        i_resid_max <- max(abs(i_lm_fit$residuals))
        
        # calculate Akaike information criterion aic
        i_aic <- AIC(i_lm_fit)
        
        # collect model coefficients and diagnostics
        coefficients <- tidy(i_lm_fit)
        
        coefficients <- coefficients %>%
          mutate(
            basin = i_basin,
            era = i_era,
            gamma_slab = i_gamma_slab,
            model = i_lm,
            rmse = i_rmse,
            aic = i_aic,
            resid_max = i_resid_max,
            n_predictors = i_n_predictors,
            na_predictor = anyNA(coefficients$estimate),
            cor_max = i_cor_max
          )
        
        if (exists("lm_all_fitted")) {
          lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
        }
        
        if (!exists("lm_all_fitted")) {
          lm_all_fitted <- coefficients
        }
      }
      
      
    }
  }
  
}

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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


# print table
lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.6869975 122.525444 1.9844368 1982-1999 –> 2000-2012 2.690144 356.3458
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7937326 137.544709 2.0383256 1982-1999 –> 2000-2012 2.641875 362.9892
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6839029 122.055920 2.2057626 1982-1999 –> 2000-2012 2.683801 355.7075
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7425615 130.614048 2.1602026 1982-1999 –> 2000-2012 2.257729 335.3984
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6796001 121.399526 1.9766954 1982-1999 –> 2000-2012 2.536204 347.3190
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.6802298 121.495856 1.9749797 1982-1999 –> 2000-2012 2.516444 346.2669
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7256169 128.213372 2.8004232 1982-1999 –> 2000-2012 2.559006 352.8243
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.6785582 121.239965 1.9748939 1982-1999 –> 2000-2012 2.506136 345.5207
Atlantic (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.7570324 130.621294 2.1365217 1982-1999 –> 2000-2012 2.421801 343.1983
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.6801275 121.480208 1.9354268 1982-1999 –> 2000-2012 2.046535 315.5171
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8498325 2144.565495 11.3406948 1982-1999 –> 2000-2012 6.934103 3884.2475
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.1899456 2209.752231 12.0912094 1982-1999 –> 2000-2012 7.435090 3983.9070
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 4.4793012 2261.172308 15.8258932 1982-1999 –> 2000-2012 7.921291 4075.2543
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9284879 2160.138715 11.8726573 1982-1999 –> 2000-2012 7.116392 3922.2275
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9475480 2163.865532 12.1138485 1982-1999 –> 2000-2012 7.155016 3930.1025
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.8778213 2150.143248 13.3086856 1982-1999 –> 2000-2012 7.118676 3923.4012
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9565582 2165.621037 12.1792405 1982-1999 –> 2000-2012 7.171665 3933.4709
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1420379 2200.897361 16.3315042 1982-1999 –> 2000-2012 7.913574 4076.9708
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.2280733 2216.727401 15.0029847 1982-1999 –> 2000-2012 7.966769 4086.8712
Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.1567343 2201.624564 16.0666928 1982-1999 –> 2000-2012 7.932621 4076.4797
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.2675377 32.079851 0.6378534 2000-2012 –> 2013-2019 4.926310 2323.5015
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4920821 141.769191 1.2308406 2000-2012 –> 2013-2019 4.341915 2286.3347
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 0.4789695 134.907633 1.0286988 2000-2012 –> 2013-2019 4.961210 2394.5850
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.4784061 136.695764 1.0972823 2000-2012 –> 2013-2019 4.668352 2346.4480
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.2503820 20.150809 0.6595283 2000-2012 –> 2013-2019 4.729683 2281.3231
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4778251 136.477034 1.4317248 2000-2012 –> 2013-2019 4.406313 2296.6157
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.4795344 137.119812 1.3774552 2000-2012 –> 2013-2019 4.427082 2300.9853
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.6839690 201.037248 1.9596135 2000-2012 –> 2013-2019 4.561790 2351.1805
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4812056 137.746032 1.3377745 2000-2012 –> 2013-2019 4.437764 2303.3671
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.2521798 21.438603 0.7043631 2000-2012 –> 2013-2019 4.394218 2222.3360
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.9905160 3246.499373 13.2593410 1982-1999 –> 2000-2012 6.701146 5070.5891
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9779260 3244.852765 13.5952314 1982-1999 –> 2000-2012 6.688495 5070.9256
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0084838 3253.683741 14.0032583 1982-1999 –> 2000-2012 6.774470 5094.9357
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.0305893 3260.030200 14.2182835 1982-1999 –> 2000-2012 6.830336 5110.3808
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.0364691 3261.712414 14.2638630 1982-1999 –> 2000-2012 6.848145 5115.2518
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.9846366 3246.797881 12.8747444 1982-1999 –> 2000-2012 6.749397 5087.7172
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4.0512643 3263.934549 13.5684491 1982-1999 –> 2000-2012 6.828831 5106.3200
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8852070 3217.636491 15.2548013 1982-1999 –> 2000-2012 6.514412 5020.8515
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 4.0825840 3272.821637 13.7715287 1982-1999 –> 2000-2012 6.900688 5126.0738
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.0905776 3275.078923 13.8099177 1982-1999 –> 2000-2012 6.922985 5132.1281
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.9798234 258.145788 3.8914741 2000-2012 –> 2013-2019 4.970339 3504.6452
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8674123 238.698781 2.7394787 2000-2012 –> 2013-2019 4.845338 3483.5515
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8549176 236.145152 2.9671259 2000-2012 –> 2013-2019 4.863401 3489.8289
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8548922 236.139922 2.9919839 2000-2012 –> 2013-2019 4.885482 3496.1701
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8552375 236.210988 3.0267136 2000-2012 –> 2013-2019 4.891706 3497.9234
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7134922 204.318434 2.2893069 2000-2012 –> 2013-2019 4.698129 3451.1163
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 0.9604393 254.629025 3.9838339 2000-2012 –> 2013-2019 5.011704 3518.5636
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.9406936 252.972929 4.1222795 2000-2012 –> 2013-2019 4.825901 3470.6094
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 0.9562963 253.868185 4.0126821 2000-2012 –> 2013-2019 5.038880 3526.6898
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 0.9530338 253.266726 4.0289106 2000-2012 –> 2013-2019 5.043611 3528.3456
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6434289 4736.646515 13.2021442 1982-1999 –> 2000-2012 4.363980 7796.9468
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5746524 4686.554436 12.6781530 1982-1999 –> 2000-2012 4.294470 7748.1922
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6417887 4737.420070 12.7501154 1982-1999 –> 2000-2012 4.520566 7936.4359
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6915218 4774.273503 12.8764385 1982-1999 –> 2000-2012 4.646484 8035.0600
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7105853 4788.219783 12.8943520 1982-1999 –> 2000-2012 4.697216 8073.9785
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.4891171 4619.792380 8.5989099 1982-1999 –> 2000-2012 4.411351 7854.3434
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.7687880 4828.200044 13.6671366 1982-1999 –> 2000-2012 4.653162 8029.8379
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5666100 4680.372418 12.5707309 1982-1999 –> 2000-2012 4.151667 7615.2065
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.8213032 4865.327549 13.8024486 1982-1999 –> 2000-2012 4.782180 8128.8085
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.8426578 4880.227696 13.8298897 1982-1999 –> 2000-2012 4.835538 8168.8670
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.9152368 702.972449 8.1063245 2000-2012 –> 2013-2019 4.558666 5439.6190
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.5382656 631.764430 5.6261134 2000-2012 –> 2013-2019 4.470496 5575.2955
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 1.4667167 613.856274 4.2667700 2000-2012 –> 2013-2019 4.213294 5426.1416
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4447773 610.822509 4.0999012 2000-2012 –> 2013-2019 4.019430 5297.3769
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 1.5935860 641.565064 4.5327244 2000-2012 –> 2013-2019 4.575265 5616.1408
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4556896 613.335702 4.1998082 2000-2012 –> 2013-2019 4.097478 5350.7558
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4792530 618.698908 4.3098683 2000-2012 –> 2013-2019 4.170775 5392.9724
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4979120 622.885575 4.3924471 2000-2012 –> 2013-2019 4.208497 5411.1054
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4054166 601.596945 5.5797114 2000-2012 –> 2013-2019 3.894534 5221.3893
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.8823471 699.186966 9.4143111 2000-2012 –> 2013-2019 4.448957 5379.5594
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.1851961 5374.769084 8.6590868 1982-1999 –> 2000-2012 4.112873 9427.2134
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.1776058 5364.292883 10.7828072 1982-1999 –> 2000-2012 3.684981 8936.1270
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.1709172 5358.799011 11.1074919 1982-1999 –> 2000-2012 3.547196 8755.5731
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.9977674 5156.319993 8.9262174 1982-1999 –> 2000-2012 4.223618 9488.6449
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1769654 5365.576395 10.8846203 1982-1999 –> 2000-2012 3.584662 8806.2740
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2131293 5405.710933 10.9107855 1982-1999 –> 2000-2012 3.664355 8905.6723
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3529009 5554.895241 13.3245705 1982-1999 –> 2000-2012 4.066422 9378.1684
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2215346 5414.945173 10.9088576 1982-1999 –> 2000-2012 3.685525 8931.9482
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0305857 5196.012139 9.0014257 1982-1999 –> 2000-2012 3.597430 8845.1449
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5042296 5706.736312 13.5019784 1982-1999 –> 2000-2012 4.087463 9376.1175
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.7380523 1224.626048 6.9461183 2000-2012 –> 2013-2019 3.923249 6599.3951
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9751882 1301.155748 6.0440411 2000-2012 –> 2013-2019 4.152794 6665.4486
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9511903 1295.650175 5.9655197 2000-2012 –> 2013-2019 4.122108 6654.4492
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 1.9781768 1302.084074 6.1992116 2000-2012 –> 2013-2019 4.298498 6821.0137
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.4550223 1115.491305 5.7219429 2000-2012 –> 2013-2019 3.452790 6271.8113
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9396341 1292.002855 5.9933663 2000-2012 –> 2013-2019 4.116600 6657.5792
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9611113 1298.764190 6.0197160 2000-2012 –> 2013-2019 4.174241 6704.4751
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9633018 1299.449622 6.0215930 2000-2012 –> 2013-2019 4.184836 6714.3948
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 1.4601623 1115.656467 5.6218791 2000-2012 –> 2013-2019 3.493486 6312.9511
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4601335 1117.644362 5.6195162 2000-2012 –> 2013-2019 3.490719 6313.6565
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.3611268 11626.182124 19.3613010 1982-1999 –> 2000-2012 4.847674 16488.9167
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3607609 11627.701590 19.4887616 1982-1999 –> 2000-2012 4.676954 16167.2210
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.2952970 11540.873369 13.7707569 1982-1999 –> 2000-2012 5.094149 16915.1381
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.1966121 11406.666662 10.1142689 1982-1999 –> 2000-2012 4.988835 16771.0673
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.4560798 11751.150317 18.7535837 1982-1999 –> 2000-2012 5.180090 17011.8667
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3517878 11615.900644 18.8661511 1982-1999 –> 2000-2012 4.597047 16007.3917
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2781228 11517.808558 20.2126766 1982-1999 –> 2000-2012 4.568056 16003.4779
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.2514857 11481.795228 19.4800372 1982-1999 –> 2000-2012 4.616573 16118.7750
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.2781177 11517.801735 20.1739420 1982-1999 –> 2000-2012 4.583984 16036.2740
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4170689 11701.043467 9.6831060 1982-1999 –> 2000-2012 4.999467 16732.7390
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2.7209796 2044.741616 16.7465636 2000-2012 –> 2013-2019 5.996055 13556.4453
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.6756927 2032.643351 16.8992454 2000-2012 –> 2013-2019 5.905816 13485.3421
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.3747936 1932.433216 16.8184924 2000-2012 –> 2013-2019 5.571406 13339.0999
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9097491 2103.084528 16.6482028 2000-2012 –> 2013-2019 6.261537 13718.9852
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8408023 2082.941044 13.7070791 2000-2012 –> 2013-2019 6.118925 13600.7496
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.8683950 2091.060571 13.1189880 2000-2012 –> 2013-2019 6.119881 13572.8558
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8379208 2082.088567 13.5798835 2000-2012 –> 2013-2019 6.116039 13599.8903
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 2.9084827 2100.718872 11.4541160 2000-2012 –> 2013-2019 6.210359 13648.3962
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.5175069 1979.454416 16.2204686 2000-2012 –> 2013-2019 5.944365 13691.1249
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.3350914 1918.271247 17.8915346 2000-2012 –> 2013-2019 5.752160 13619.3147
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3742449 17785.115268 19.7700725 1982-1999 –> 2000-2012 4.014158 28300.8513
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.5191026 18245.990709 22.6025088 1982-1999 –> 2000-2012 3.866083 27681.8101
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.5458535 18328.193856 18.1627018 1982-1999 –> 2000-2012 4.191166 28861.9690
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 2.5580862 18363.496264 19.7842592 1982-1999 –> 2000-2012 4.208034 28910.7113
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3717098 17776.801383 19.9641386 1982-1999 –> 2000-2012 3.895509 27889.5183
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3699314 17770.963901 22.0826120 1982-1999 –> 2000-2012 3.791695 27503.3144
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3725304 17779.493682 21.7326573 1982-1999 –> 2000-2012 3.788911 27491.0263
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 2.5547454 18353.326680 19.5330791 1982-1999 –> 2000-2012 4.205167 28902.1176
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3687540 17767.096764 21.9288321 1982-1999 –> 2000-2012 3.789706 27496.3125
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.4908191 18156.123264 24.6829920 1982-1999 –> 2000-2012 3.922036 27922.8418
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.4253110 3635.300151 15.3125112 2000-2012 –> 2013-2019 4.975831 21975.7464
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.3041759 3554.756066 9.7753758 2000-2012 –> 2013-2019 4.682061 21349.7944
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2491988 3518.793796 9.7978942 2000-2012 –> 2013-2019 4.623444 21303.9091
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.4431232 3648.803158 15.7504820 2000-2012 –> 2013-2019 4.962226 21894.7939
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.4230826 3635.855076 15.3561078 2000-2012 –> 2013-2019 4.968936 21964.0489
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2714707 3534.283430 9.9105276 2000-2012 –> 2013-2019 4.643180 21311.0848
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2246429 3501.536933 9.5192421 2000-2012 –> 2013-2019 4.594574 21272.5008
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.2245250 3501.453595 9.6871879 2000-2012 –> 2013-2019 4.597055 21280.9473
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2249872 3501.780212 9.5414589 2000-2012 –> 2013-2019 4.593741 21268.8770
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.2499563 3517.323161 9.5658104 2000-2012 –> 2013-2019 4.740775 21673.4464
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.3565679 5589.081050 6.9535067 1982-1999 –> 2000-2012 2.253712 8126.9118
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.2984197 5445.399469 6.4801627 1982-1999 –> 2000-2012 2.113953 7797.5384
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2129656 5227.229955 6.7299404 1982-1999 –> 2000-2012 1.871257 7168.8314
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.3420440 5554.270025 7.0942827 1982-1999 –> 2000-2012 2.198812 8003.4091
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1949278 5178.776574 6.5850604 1982-1999 –> 2000-2012 1.916780 7297.9008
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2500487 5324.619496 6.8504419 1982-1999 –> 2000-2012 1.932154 7334.6632
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3139417 5485.831134 7.1958200 1982-1999 –> 2000-2012 2.034934 7602.6618
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3138795 5485.678208 7.1917099 1982-1999 –> 2000-2012 2.035477 7604.1233
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3113548 5479.457796 7.1502712 1982-1999 –> 2000-2012 2.032052 7595.4995
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3400096 5547.363984 7.8584620 1982-1999 –> 2000-2012 2.063365 7668.4960
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.1488318 868.726297 5.0419593 2000-2012 –> 2013-2019 2.447252 6314.1258
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0165068 803.420818 3.1798837 2000-2012 –> 2013-2019 2.229472 6030.6508
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8806360 724.505188 3.7228068 2000-2012 –> 2013-2019 2.447088 6778.8145
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8599956 711.460794 5.0940172 2000-2012 –> 2013-2019 2.054923 5890.2374
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0461453 819.227954 3.5405548 2000-2012 –> 2013-2019 2.296194 6143.8475
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0755760 834.487191 3.7717337 2000-2012 –> 2013-2019 2.389518 6320.3183
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0727121 833.020771 3.7565756 2000-2012 –> 2013-2019 2.386592 6318.6990
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0761036 834.756909 3.7751058 2000-2012 –> 2013-2019 2.387458 6314.2147
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.0786442 834.053868 3.7597740 2000-2012 –> 2013-2019 2.418654 6381.4179
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.9573298 770.432170 5.6789632 2000-2012 –> 2013-2019 2.499910 6775.0780
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5256091 5692.668744 10.8737589 1982-1999 –> 2000-2012 2.569182 8708.7726
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.9002648 6369.913676 19.1051493 1982-1999 –> 2000-2012 2.891979 9281.3224
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.3019106 5203.667108 9.0765853 1982-1999 –> 2000-2012 2.222783 7962.8467
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5913110 5822.703874 11.0594737 1982-1999 –> 2000-2012 2.668254 8903.4586
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6563898 5946.317445 11.1891375 1982-1999 –> 2000-2012 2.774910 9104.8782
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6625235 5957.716546 11.2261613 1982-1999 –> 2000-2012 2.782621 9119.1720
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6503799 5935.107501 11.1258276 1982-1999 –> 2000-2012 2.768213 9092.4059
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7056647 6034.723225 11.9905586 1982-1999 –> 2000-2012 2.827454 9197.2800
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.5843269 5807.138857 8.3836632 1982-1999 –> 2000-2012 2.629844 8825.0655
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5788892 5798.535728 8.5359223 1982-1999 –> 2000-2012 2.623705 8817.0844
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1438177 744.055708 5.9924546 2000-2012 –> 2013-2019 2.669427 6436.7245
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8515724 605.385828 4.1848260 2000-2012 –> 2013-2019 2.751837 6975.2995
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7666199 555.991929 3.6736419 2000-2012 –> 2013-2019 2.068531 5759.6590
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2116338 771.126887 6.4619187 2000-2012 –> 2013-2019 2.802945 6593.8308
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2703568 793.371093 6.6654833 2000-2012 –> 2013-2019 2.926747 6739.6885
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2989690 803.839430 6.8835856 2000-2012 –> 2013-2019 2.961492 6761.5560
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2598878 789.481756 6.5878827 2000-2012 –> 2013-2019 2.910268 6724.5893
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 1.4124328 841.198512 7.7469454 2000-2012 –> 2013-2019 3.118098 6875.9217
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.0964793 722.190196 6.3060746 2000-2012 –> 2013-2019 2.680806 6529.3291
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0954227 723.737075 6.4534540 2000-2012 –> 2013-2019 2.674312 6522.2728
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4550954 11013.438979 18.6661485 1982-1999 –> 2000-2012 8.064477 17940.3699
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.0088610 9531.408571 15.6201568 1982-1999 –> 2000-2012 5.151553 15124.4100
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.4591913 11016.908907 18.5680851 1982-1999 –> 2000-2012 8.058887 17936.9664
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.4637785 11020.791304 18.5359021 1982-1999 –> 2000-2012 8.061415 17939.3851
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.5594163 11098.838715 20.5827006 1982-1999 –> 2000-2012 8.125404 17992.8298
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.3963621 10963.327403 20.6293783 1982-1999 –> 2000-2012 7.779153 17724.4095
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.4640627 11021.031729 18.5393599 1982-1999 –> 2000-2012 8.061224 17939.2873
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.1454317 9697.023374 16.1871024 1982-1999 –> 2000-2012 5.386245 15402.5621
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.2906491 8501.593734 12.3869725 1982-1999 –> 2000-2012 3.813608 13221.2740
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.6124998 11142.547270 21.6977876 1982-1999 –> 2000-2012 8.105547 17983.6729
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7052324 583.086053 2.6380008 2000-2012 –> 2013-2019 5.160328 11596.5250
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6090338 505.066301 2.7410760 2000-2012 –> 2013-2019 3.617895 10036.4749
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.4282354 317.695571 1.7580876 2000-2012 –> 2013-2019 4.907630 11351.6739
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7717527 631.038835 3.2511944 2000-2012 –> 2013-2019 5.230944 11647.9477
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8233219 665.450217 3.5360274 2000-2012 –> 2013-2019 5.287100 11686.2415
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.8487831 681.653060 3.5788543 2000-2012 –> 2013-2019 5.245145 11644.9805
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8140349 659.415201 3.5104036 2000-2012 –> 2013-2019 5.278098 11680.4469
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.0018614 767.864668 3.4924624 2000-2012 –> 2013-2019 4.147293 10464.8880
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.8248152 666.414246 4.0059800 2000-2012 –> 2013-2019 3.115464 9168.0080
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7112986 587.642577 3.8532384 2000-2012 –> 2013-2019 5.336360 11742.4594
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.3339554 3726.621347 9.0930907 1982-1999 –> 2000-2012 2.048873 5309.4799
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3255248 3714.825377 8.5768042 1982-1999 –> 2000-2012 2.039678 5298.1328
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.3823460 3806.160002 8.9508089 1982-1999 –> 2000-2012 2.115333 5427.2112
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 1.3649815 3776.652832 8.9359361 1982-1999 –> 2000-2012 2.087687 5375.2214
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2354271 3561.653083 9.6650488 1982-1999 –> 2000-2012 1.913368 5069.5058
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3603360 3771.234514 8.5384560 1982-1999 –> 2000-2012 2.082165 5370.0429
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.3797191 3800.020970 8.8056306 1982-1999 –> 2000-2012 2.111005 5415.7033
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3762430 3796.531859 8.4509691 1982-1999 –> 2000-2012 2.107077 5413.3169
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.2354727 3559.733323 9.6559647 1982-1999 –> 2000-2012 1.932109 5105.0313
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1146372 3337.769235 8.1067583 1982-1999 –> 2000-2012 1.744671 4739.3563
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.4291476 225.150104 1.7846102 2000-2012 –> 2013-2019 1.763103 3951.7715
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4195171 218.707004 1.7112354 2000-2012 –> 2013-2019 1.745042 3933.5324
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.4499877 244.790115 1.7810074 2000-2012 –> 2013-2019 1.832334 4050.9501
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 0.4659034 255.720090 1.9728635 2000-2012 –> 2013-2019 1.830885 4032.3729
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.3366016 136.790971 1.5570948 2000-2012 –> 2013-2019 1.572029 3698.4441
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4484156 243.488206 1.8624228 2000-2012 –> 2013-2019 1.808752 4014.7227
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4681852 259.537594 1.9383973 2000-2012 –> 2013-2019 1.844428 4056.0695
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.4733482 263.617419 2.3906660 2000-2012 –> 2013-2019 1.810598 3997.6065
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.4580099 249.363507 2.6788983 2000-2012 –> 2013-2019 1.693483 3809.0968
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.3431583 143.967584 2.4199022 2000-2012 –> 2013-2019 1.457796 3481.7368
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.3070563 5281.300836 11.6805718 1982-1999 –> 2000-2012 1.991624 7052.9314
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2890323 5239.921897 10.1610007 1982-1999 –> 2000-2012 1.902057 6826.7865
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.3148856 5301.957827 12.4917692 1982-1999 –> 2000-2012 1.976645 7018.2538
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3018181 5270.755806 9.9780068 1982-1999 –> 2000-2012 1.924254 6883.3978
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3160440 5304.709007 9.8277627 1982-1999 –> 2000-2012 1.952681 6955.5194
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3060962 5281.005346 9.9808255 1982-1999 –> 2000-2012 1.937269 6917.2336
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.1940208 5000.731878 9.4611998 1982-1999 –> 2000-2012 1.864047 6738.0331
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.3210021 5314.456316 11.2440371 1982-1999 –> 2000-2012 1.986640 7038.6403
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 1.3282485 5331.546172 11.7999299 1982-1999 –> 2000-2012 2.046531 7184.5216
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1193241 4798.917057 13.5869094 1982-1999 –> 2000-2012 1.624702 6059.0587
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.4895828 408.062157 1.7039831 2000-2012 –> 2013-2019 1.796639 5689.3630
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.4037117 299.678950 1.7095319 2000-2012 –> 2013-2019 1.775615 5732.2484
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3856113 275.899375 1.4310718 2000-2012 –> 2013-2019 1.674644 5515.8213
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.3922726 285.524764 1.6867747 2000-2012 –> 2013-2019 1.707158 5587.4826
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4043632 302.585221 1.4758757 2000-2012 –> 2013-2019 1.706181 5573.3410
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.4200192 323.933779 1.5314873 2000-2012 –> 2013-2019 1.736063 5628.6428
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4178209 320.984749 1.5136772 2000-2012 –> 2013-2019 1.723917 5601.9901
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5341289 459.003142 1.6821036 2000-2012 –> 2013-2019 1.728150 5459.7350
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.4126692 312.012245 1.6827518 2000-2012 –> 2013-2019 1.733671 5626.4686
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2771681 90.323697 1.1114077 2000-2012 –> 2013-2019 1.396492 4889.2408
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 1.0048762 8438.065746 11.5293844 1982-1999 –> 2000-2012 1.652106 11389.9139
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.9937731 8374.312106 12.3479982 1982-1999 –> 2000-2012 1.640860 11327.5014
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.9600630 8168.081929 11.7993448 1982-1999 –> 2000-2012 1.614205 11151.6709
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.9555765 8142.361335 12.5573844 1982-1999 –> 2000-2012 1.601177 11088.6785
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.9583722 8159.650698 12.3221925 1982-1999 –> 2000-2012 1.610870 11137.7183
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7654124 6829.157141 25.0683926 1982-1999 –> 2000-2012 1.549113 10354.6870
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.9576736 8153.335178 13.3268283 1982-1999 –> 2000-2012 1.669683 11390.2070
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.9653568 8200.624381 13.8491542 1982-1999 –> 2000-2012 1.691710 11497.0935
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.9572758 8152.876090 13.2107909 1982-1999 –> 2000-2012 1.668265 11387.4629
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8182781 7224.405329 13.5294387 1982-1999 –> 2000-2012 1.621210 10822.3698
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.6358764 860.380178 2.3162524 2000-2012 –> 2013-2019 1.596021 9030.9686
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.6284098 848.033133 3.0550910 2000-2012 –> 2013-2019 1.588473 9016.1151
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.5673141 760.436488 2.1629643 2000-2012 –> 2013-2019 1.522891 8902.7978
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.5172736 679.545512 2.2423627 2000-2012 –> 2013-2019 1.475646 8839.1962
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.4842522 621.759210 1.6393860 2000-2012 –> 2013-2019 1.249665 7450.9164
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.6682826 903.923468 2.0565213 2000-2012 –> 2013-2019 1.627562 9069.1740
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.5689706 760.990538 2.2087785 2000-2012 –> 2013-2019 1.526644 8914.3257
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.5200793 682.284125 2.2713444 2000-2012 –> 2013-2019 1.485436 8882.9085
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5159584 677.315406 2.3130401 2000-2012 –> 2013-2019 1.473234 8830.1915
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7477977 1002.404532 1.7226763 2000-2012 –> 2013-2019 1.566076 8226.8099
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.6790836 12178.488818 4.5921194 1982-1999 –> 2000-2012 1.226230 16168.4505
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.6784036 12168.674856 4.5156779 1982-1999 –> 2000-2012 1.196928 15898.5425
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.6615632 11872.260549 4.3245696 1982-1999 –> 2000-2012 1.196177 15751.1882
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.6380153 11446.880157 4.6598571 1982-1999 –> 2000-2012 1.145340 15072.2337
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.6786319 12172.643568 4.4942970 1982-1999 –> 2000-2012 1.220970 16121.5480
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6783961 12170.544935 4.5269884 1982-1999 –> 2000-2012 1.189030 15827.6076
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6572459 11797.055382 4.5957727 1982-1999 –> 2000-2012 1.191738 15676.8736
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7749638 13739.883151 4.4228123 1982-1999 –> 2000-2012 1.459062 18823.5170
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 0.8108738 14272.015308 11.1403370 1982-1999 –> 2000-2012 1.532409 19613.5430
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7986185 14094.433675 12.1243589 1982-1999 –> 2000-2012 1.510631 19373.1539
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.4501223 993.951586 1.5648889 2000-2012 –> 2013-2019 1.258437 15228.6924
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.4547557 1008.152841 2.0609851 2000-2012 –> 2013-2019 1.133839 13186.6417
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.4444906 974.033424 1.9381796 2000-2012 –> 2013-2019 1.122894 13142.7083
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.4449066 975.513436 1.8686116 2000-2012 –> 2013-2019 1.106470 12847.7740
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.4267565 911.621703 1.5887800 2000-2012 –> 2013-2019 1.064772 12358.5019
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.4542792 1008.494152 1.9878249 2000-2012 –> 2013-2019 1.132911 13181.1377
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.4378294 952.145808 2.3570728 2000-2012 –> 2013-2019 1.116226 13122.6907
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.4448646 977.364109 1.8488413 2000-2012 –> 2013-2019 1.102110 12774.4195
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 0.4698081 1061.668949 1.5717936 2000-2012 –> 2013-2019 1.280682 15333.6843
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.4182040 879.595474 1.6653982 2000-2012 –> 2013-2019 1.216822 14974.0291
Indian (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3676932 859.247249 4.1502454 1982-1999 –> 2000-2012 3.515738 2890.7983
Indian (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6609091 954.036171 5.0014333 1982-1999 –> 2000-2012 4.281769 3169.4116
Indian (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6152270 940.426048 4.9984081 1982-1999 –> 2000-2012 4.255287 3162.5459
Indian (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.6901823 960.562166 4.8063232 1982-1999 –> 2000-2012 4.330255 3180.6866
Indian (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2869040 829.534800 3.7386507 1982-1999 –> 2000-2012 3.361241 2828.8229
Indian (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2704239 823.245118 3.6345124 1982-1999 –> 2000-2012 3.339041 2819.9819
Indian (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5655843 925.192450 5.8455750 1982-1999 –> 2000-2012 3.807190 2996.1375
Indian (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.6887478 960.147806 4.8057538 1982-1999 –> 2000-2012 4.328808 3180.2678
Indian (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2684376 822.481546 3.6238096 1982-1999 –> 2000-2012 3.336039 2818.7643
Indian (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2110850 799.902149 3.8321300 1982-1999 –> 2000-2012 3.710980 2971.6153
Indian (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3485342 38.814529 0.7343029 2000-2012 –> 2013-2019 1.716227 898.0618
Indian (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.2371722 12.637931 0.7855880 2000-2012 –> 2013-2019 1.524076 842.1727
Indian (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.2445669 14.725720 0.7968669 2000-2012 –> 2013-2019 1.514991 837.9708
Indian (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.2443642 14.669311 0.7978274 2000-2012 –> 2013-2019 1.809948 939.8618
Indian (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.2461519 15.164991 0.7993026 2000-2012 –> 2013-2019 1.514590 837.6465
Indian (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.2441577 14.611848 0.7993968 2000-2012 –> 2013-2019 1.660361 890.8680
Indian (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 0.2443125 12.654939 0.6785820 2000-2012 –> 2013-2019 1.798343 932.2327
Indian (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2442786 14.645504 0.6844151 2000-2012 –> 2013-2019 1.455364 814.5477
Indian (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate_star 0.2468879 13.368000 0.7353430 2000-2012 –> 2013-2019 1.734425 911.6054
Indian (-Inf,26] cstar_tref ~ temp + silicate + phosphate + phosphate_star 0.2479927 13.671621 0.7446979 2000-2012 –> 2013-2019 1.728385 909.5596
Indian (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7813616 1658.964843 7.4329240 1982-1999 –> 2000-2012 4.073964 5554.0934
Indian (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7679878 1652.755216 7.2514414 1982-1999 –> 2000-2012 3.920800 5439.2963
Indian (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.7654615 1651.576933 7.2022957 1982-1999 –> 2000-2012 3.889353 5414.7743
Indian (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8931613 1709.121774 7.2391831 1982-1999 –> 2000-2012 4.332908 5711.6190
Indian (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.7652658 1651.485608 7.1975637 1982-1999 –> 2000-2012 3.885764 5411.9231
Indian (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.7795272 1658.115848 7.4439827 1982-1999 –> 2000-2012 3.624963 5178.7511
Indian (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 1.8326369 1680.348177 7.2364473 1982-1999 –> 2000-2012 4.212195 5637.7312
Indian (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.7677550 1652.646692 6.8268737 1982-1999 –> 2000-2012 3.705005 5257.0856
Indian (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 1.8176063 1673.562161 7.1848284 1982-1999 –> 2000-2012 4.156611 5601.2760
Indian (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1.8165354 1673.076547 7.1785860 1982-1999 –> 2000-2012 4.149433 5596.2785
Indian (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3557083 42.511771 0.8563430 2000-2012 –> 2013-2019 2.137070 1701.4766
Indian (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.2329551 11.190130 0.5801151 2000-2012 –> 2013-2019 2.000943 1663.9453
Indian (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.2166897 5.834085 0.5146416 2000-2012 –> 2013-2019 1.982151 1657.4110
Indian (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.1890512 -4.263101 0.4734491 2000-2012 –> 2013-2019 2.082213 1704.8587
Indian (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.2163042 5.702293 0.5128671 2000-2012 –> 2013-2019 1.981570 1657.1879
Indian (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.2877187 26.814314 0.7824059 2000-2012 –> 2013-2019 2.067246 1684.9302
Indian (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 0.2720980 20.683579 0.8061319 2000-2012 –> 2013-2019 2.104735 1701.0318
Indian (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2702439 22.177612 0.8099841 2000-2012 –> 2013-2019 2.037999 1674.8243
Indian (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 0.2878316 24.843362 0.7926009 2000-2012 –> 2013-2019 2.105438 1698.4055
Indian (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 0.2884614 25.005098 0.7918329 2000-2012 –> 2013-2019 2.104997 1698.0816
Indian (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3110589 1571.971306 5.4154999 1982-1999 –> 2000-2012 2.925537 4326.6115
Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2884031 1555.899391 5.1589001 1982-1999 –> 2000-2012 2.884082 4293.6273
Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2817723 1551.142073 5.0834267 1982-1999 –> 2000-2012 2.871573 4283.5402
Indian (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2776993 1548.207602 5.0587150 1982-1999 –> 2000-2012 2.819425 4236.2663
Indian (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2819116 1551.242255 5.0829220 1982-1999 –> 2000-2012 2.871570 4283.5110
Indian (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 1.2868139 1552.761463 4.9392946 1982-1999 –> 2000-2012 2.889551 4294.8621
Indian (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.3193481 1577.782363 4.6295792 1982-1999 –> 2000-2012 2.699185 4105.6471
Indian (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1799818 1474.851456 3.9696067 1982-1999 –> 2000-2012 2.743868 4183.5179
Indian (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 1.3677135 1608.976747 4.5507350 1982-1999 –> 2000-2012 2.985771 4364.8151
Indian (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1.3272486 1581.286947 4.7320806 1982-1999 –> 2000-2012 2.898451 4294.6928
Indian (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.3821132 46.724407 0.9163824 2000-2012 –> 2013-2019 1.802511 1690.5495
Indian (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3695905 46.191986 0.8888572 2000-2012 –> 2013-2019 1.680649 1618.1633
Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4124450 54.529753 0.9457858 2000-2012 –> 2013-2019 1.700848 1610.4291
Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.4272876 57.216680 0.9849901 2000-2012 –> 2013-2019 1.709060 1608.3588
Indian (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.4301291 57.720419 1.0352954 2000-2012 –> 2013-2019 1.707828 1605.9280
Indian (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4264547 57.068387 0.9840315 2000-2012 –> 2013-2019 1.708366 1608.3106
Indian (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 0.4971534 66.726223 0.9818663 2000-2012 –> 2013-2019 1.783967 1619.4877
Indian (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.4431326 59.983983 1.0297392 2000-2012 –> 2013-2019 1.762481 1637.7663
Indian (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2708838 22.578358 0.8033255 2000-2012 –> 2013-2019 1.450866 1497.4298
Indian (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 0.4433075 58.013966 1.0251873 2000-2012 –> 2013-2019 1.770556 1639.3009
Indian (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1563189 2838.909245 6.5342871 1982-1999 –> 2000-2012 2.589162 6684.0126
Indian (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1433119 2818.479191 6.2694208 1982-1999 –> 2000-2012 2.564685 6646.2694
Indian (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1389448 2811.567659 6.1716800 1982-1999 –> 2000-2012 2.554596 6630.6693
Indian (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1352390 2805.681775 6.0650292 1982-1999 –> 2000-2012 2.385506 6357.1875
Indian (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1398157 2812.948058 6.1870999 1982-1999 –> 2000-2012 2.555975 6632.8227
Indian (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 1.2350659 2955.893458 5.4292465 1982-1999 –> 2000-2012 2.731478 6892.5010
Indian (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.2370977 2960.862187 5.2860882 1982-1999 –> 2000-2012 2.471678 6485.1696
Indian (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1749550 2867.784159 4.0284305 1982-1999 –> 2000-2012 2.562254 6643.3083
Indian (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 1.3770572 3152.430474 4.4107834 1982-1999 –> 2000-2012 2.812974 7000.1490
Indian (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1.2389423 2961.553066 5.2965630 1982-1999 –> 2000-2012 2.494834 6520.7270
Indian (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4113667 106.336268 1.0621864 2000-2012 –> 2013-2019 1.567686 2945.2455
Indian (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4238900 111.554370 1.1023027 2000-2012 –> 2013-2019 1.567202 2930.0336
Indian (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.4304383 114.221798 1.1161025 2000-2012 –> 2013-2019 1.569383 2925.7895
Indian (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.4326959 115.131996 1.1966686 2000-2012 –> 2013-2019 1.567935 2920.8138
Indian (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4295718 113.871141 1.1180720 2000-2012 –> 2013-2019 1.569387 2926.8192
Indian (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 0.4764956 129.909661 1.8548704 2000-2012 –> 2013-2019 1.711561 3085.8031
Indian (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.4653580 127.794298 1.2723524 2000-2012 –> 2013-2019 1.702456 3088.6565
Indian (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.4273075 112.951562 1.4018584 2000-2012 –> 2013-2019 1.602262 2980.7357
Indian (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 0.4712334 127.977386 1.4612609 2000-2012 –> 2013-2019 1.848291 3280.4079
Indian (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 0.4653938 125.807687 1.2649437 2000-2012 –> 2013-2019 1.704336 3087.3608
Indian (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.3361658 4217.851488 9.4580153 1982-1999 –> 2000-2012 4.240684 9154.5692
Indian (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2801432 4172.849743 11.0573981 1982-1999 –> 2000-2012 4.383979 9347.0536
Indian (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2809088 4173.472145 11.0394168 1982-1999 –> 2000-2012 4.382951 9345.6418
Indian (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate_star 2.3384082 4217.630202 10.1664821 1982-1999 –> 2000-2012 4.243167 9152.6493
Indian (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.1641719 4076.070138 8.8373130 1982-1999 –> 2000-2012 4.042048 8979.1747
Indian (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2804664 4173.112547 11.0356856 1982-1999 –> 2000-2012 4.382860 9345.6805
Indian (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 2.3503220 4227.052060 10.0713155 1982-1999 –> 2000-2012 4.262126 9170.8804
Indian (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.1230749 4040.524574 9.7714330 1982-1999 –> 2000-2012 3.966804 8899.8433
Indian (27,27.25] cstar_tref ~ temp + nitrate + phosphate_star 2.3511204 4225.681761 9.6529060 1982-1999 –> 2000-2012 4.266586 9172.0750
Indian (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.3050326 4190.977841 7.7624873 1982-1999 –> 2000-2012 4.196317 9109.0589
Indian (27,27.25] cstar_tref ~ aou + nitrate + phosphate_star 0.8358097 424.021128 2.3442181 2000-2012 –> 2013-2019 3.339470 4766.2484
Indian (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.8310018 424.094297 2.4499835 2000-2012 –> 2013-2019 3.286785 4732.5249
Indian (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.8247628 421.577229 2.3826171 2000-2012 –> 2013-2019 3.289808 4736.9867
Indian (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.7351735 385.170765 2.7449139 2000-2012 –> 2013-2019 3.060670 4594.5355
Indian (27,27.25] cstar_tref ~ sal + temp + aou + nitrate 0.7460042 388.055426 2.2253743 2000-2012 –> 2013-2019 3.224457 4713.5219
Indian (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7154443 376.085053 2.3435725 2000-2012 –> 2013-2019 3.051610 4593.9365
Indian (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.7459258 390.020327 2.2067900 2000-2012 –> 2013-2019 2.725002 4300.3288
Indian (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2753372 569.157819 3.8101262 2000-2012 –> 2013-2019 3.439509 4645.2280
Indian (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.7196220 376.029737 2.4847798 2000-2012 –> 2013-2019 3.069944 4603.0818
Indian (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.6878889 362.966748 2.0656619 2000-2012 –> 2013-2019 2.810964 4403.4913
Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.8282362 3973.644185 8.5591246 1982-1999 –> 2000-2012 3.321359 9574.4557
Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.8471067 3993.750552 8.3100086 1982-1999 –> 2000-2012 3.397301 9709.7188
Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.8996704 4048.691900 6.3640515 1982-1999 –> 2000-2012 3.402796 9670.0016
Indian (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.8295353 3973.035027 9.1487160 1982-1999 –> 2000-2012 3.340159 9607.6210
Indian (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8294287 3974.920997 9.0431635 1982-1999 –> 2000-2012 3.334288 9599.7690
Indian (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.8320380 3975.711628 8.5523129 1982-1999 –> 2000-2012 3.327420 9579.1650
Indian (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.8291854 3974.660499 8.5505471 1982-1999 –> 2000-2012 3.324493 9579.9605
Indian (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.9003300 4049.371570 6.6843270 1982-1999 –> 2000-2012 3.403550 9670.8732
Indian (27.25,27.5] cstar_tref ~ temp + nitrate + phosphate_star 1.8323125 3974.005032 8.8404029 1982-1999 –> 2000-2012 3.377927 9676.8896
Indian (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1.8314549 3975.088338 9.1748121 1982-1999 –> 2000-2012 3.343149 9611.8481
Indian (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate_star 0.7336616 511.372485 2.7700585 2000-2012 –> 2013-2019 2.699786 4623.3878
Indian (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.7329185 512.914399 2.7263340 2000-2012 –> 2013-2019 2.681767 4609.6493
Indian (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.7322836 512.522721 2.8170156 2000-2012 –> 2013-2019 2.697306 4625.4402
Indian (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.7204723 507.172804 2.7090712 2000-2012 –> 2013-2019 2.662892 4599.4385
Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7065242 498.336388 2.7628874 2000-2012 –> 2013-2019 2.534760 4471.9806
Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.0191858 663.950045 3.3334709 2000-2012 –> 2013-2019 2.866293 4657.7006
Indian (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.0214404 662.948835 2.5909060 2000-2012 –> 2013-2019 2.850976 4635.9839
Indian (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0171119 663.029378 2.5982918 2000-2012 –> 2013-2019 2.846541 4637.9504
Indian (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.7067411 496.475154 2.7818031 2000-2012 –> 2013-2019 2.538779 4472.1868
Indian (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.6975707 492.571784 2.6228299 2000-2012 –> 2013-2019 2.526756 4467.2323
Indian (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.3367028 4649.199840 6.1038822 1982-1999 –> 2000-2012 2.378932 10104.2792
Indian (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.3675352 4711.044452 6.3575376 1982-1999 –> 2000-2012 2.408435 10161.3672
Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.3700223 4713.972200 6.3513715 1982-1999 –> 2000-2012 2.422091 10202.0636
Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3695651 4715.067055 6.3641401 1982-1999 –> 2000-2012 2.409202 10160.8670
Indian (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4107046 4795.331551 6.8565162 1982-1999 –> 2000-2012 2.444072 10218.5933
Indian (27.5,27.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.3367672 4647.330583 6.0999827 1982-1999 –> 2000-2012 2.379029 10100.5249
Indian (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.3367662 4649.328491 6.1000458 1982-1999 –> 2000-2012 2.370712 10074.6754
Indian (27.5,27.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.3675356 4709.045269 6.3587204 1982-1999 –> 2000-2012 2.408499 10157.5953
Indian (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.3675001 4710.974792 6.3999796 1982-1999 –> 2000-2012 2.401396 10136.1427
Indian (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1.3712776 4716.456020 6.4782673 1982-1999 –> 2000-2012 2.411138 10161.0567
Indian (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.9731089 748.806639 2.2358834 2000-2012 –> 2013-2019 2.309812 5398.0065
Indian (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1073337 817.031818 3.1937822 2000-2012 –> 2013-2019 2.474869 5528.0763
Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.1196639 820.878598 3.5107863 2000-2012 –> 2013-2019 2.489686 5534.8508
Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1182326 822.203249 3.4716868 2000-2012 –> 2013-2019 2.487798 5537.2703
Indian (27.5,27.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.9953401 758.733368 2.5276570 2000-2012 –> 2013-2019 2.332107 5406.0640
Indian (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.9918757 758.892402 2.4830002 2000-2012 –> 2013-2019 2.328642 5408.2209
Indian (27.5,27.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.1173408 819.781957 2.9953933 2000-2012 –> 2013-2019 2.484876 5528.8272
Indian (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1043984 815.630321 3.0849981 2000-2012 –> 2013-2019 2.471898 5526.6051
Indian (27.5,27.75] cstar_tref ~ temp + nitrate + phosphate_star 1.1327932 825.033994 3.5300676 2000-2012 –> 2013-2019 2.504083 5539.5144
Indian (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1.1322212 826.767322 3.4558069 2000-2012 –> 2013-2019 2.503499 5543.2233
Indian (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.1545925 1918.476918 5.5062084 1982-1999 –> 2000-2012 2.007055 3847.1513
Indian (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.1373293 1902.097970 5.1695077 1982-1999 –> 2000-2012 1.884539 3632.1974
Indian (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.1280641 1890.118608 5.7848910 1982-1999 –> 2000-2012 1.848019 3561.6641
Indian (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1084591 1870.729498 5.1686914 1982-1999 –> 2000-2012 1.828386 3544.2170
Indian (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.2282185 1993.894000 6.1065798 1982-1999 –> 2000-2012 1.962383 3695.1876
Indian (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1136129 1876.388689 5.2499159 1982-1999 –> 2000-2012 1.833490 3549.7703
Indian (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1317619 1896.111291 5.1928595 1982-1999 –> 2000-2012 1.846308 3558.1803
Indian (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2155853 1983.280400 4.9624819 1982-1999 –> 2000-2012 1.923986 3632.2019
Indian (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1264702 1890.393626 5.2184782 1982-1999 –> 2000-2012 1.842105 3554.7801
Indian (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.9383826 1667.516009 5.5410249 1982-1999 –> 2000-2012 1.742390 3509.1209
Indian (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.1225072 423.246871 3.3360806 2000-2012 –> 2013-2019 2.374451 2440.4828
Indian (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.1636613 432.896643 3.4526216 2000-2012 –> 2013-2019 2.291725 2323.0153
Indian (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1220438 425.136214 3.3789110 2000-2012 –> 2013-2019 2.230503 2295.8657
Indian (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1250766 425.859639 3.3561633 2000-2012 –> 2013-2019 2.238689 2302.2483
Indian (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1323212 427.579804 3.3164074 2000-2012 –> 2013-2019 2.264083 2323.6911
Indian (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1396896 429.318109 3.4266361 2000-2012 –> 2013-2019 2.355275 2412.5985
Indian (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1290798 426.811511 3.3406375 2000-2012 –> 2013-2019 2.255550 2317.2051
Indian (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.1312641 427.329483 3.2302032 2000-2012 –> 2013-2019 2.069647 2094.8455
Indian (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 1.1252239 423.894725 3.3323431 2000-2012 –> 2013-2019 2.380577 2444.4488
Indian (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1160078 423.690629 3.4160025 2000-2012 –> 2013-2019 2.366251 2441.2682
Indian (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.2085197 2468.318820 7.8356258 1982-1999 –> 2000-2012 1.929158 4265.5370
Indian (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2390959 2506.447122 8.3578801 1982-1999 –> 2000-2012 1.959742 4303.6815
Indian (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 1.3042210 2582.614868 8.5114419 1982-1999 –> 2000-2012 2.024875 4377.8687
Indian (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1.3455766 2630.251545 8.4257250 1982-1999 –> 2000-2012 2.141649 4588.1388
Indian (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.2565013 2525.733427 8.5689688 1982-1999 –> 2000-2012 1.979973 4327.3640
Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2402352 2507.849583 8.4452036 1982-1999 –> 2000-2012 1.960360 4303.9029
Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2387680 2506.043260 8.2920932 1982-1999 –> 2000-2012 1.959392 4303.2296
Indian (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2823296 2558.783464 8.1395474 1982-1999 –> 2000-2012 2.070099 4501.5386
Indian (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2388619 2506.158901 8.3193793 1982-1999 –> 2000-2012 1.959243 4302.7930
Indian (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3880218 2677.644445 6.5942249 1982-1999 –> 2000-2012 2.249873 4765.2584
Indian (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.4022976 600.854892 5.0811728 2000-2012 –> 2013-2019 2.610817 3069.1737
Indian (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 1.1715534 538.807865 4.7517412 2000-2012 –> 2013-2019 2.575337 3233.6839
Indian (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1687267 540.001024 4.5395878 2000-2012 –> 2013-2019 2.407823 3046.4481
Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1591168 537.243357 5.5118592 2000-2012 –> 2013-2019 2.598187 3272.0034
Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1686093 539.967481 4.5233014 2000-2012 –> 2013-2019 2.408844 3047.8171
Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1687448 540.006201 4.3993824 2000-2012 –> 2013-2019 2.407513 3046.0495
Indian (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1523075 535.275452 4.7055216 2000-2012 –> 2013-2019 2.434637 3094.0589
Indian (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1691734 540.128672 4.3712327 2000-2012 –> 2013-2019 2.408035 3046.2876
Indian (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 1.2516412 560.893661 5.6644023 2000-2012 –> 2013-2019 2.639663 3238.5381
Indian (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4095413 602.575765 6.2609939 2000-2012 –> 2013-2019 2.556135 2990.6262
Indian (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.1757388 2486.426343 8.7012460 1982-1999 –> 2000-2012 2.079097 5272.0308
Indian (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2642130 2599.899404 7.2311174 1982-1999 –> 2000-2012 2.237941 5543.3314
Indian (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 1.2770366 2613.683938 8.4641434 1982-1999 –> 2000-2012 2.265850 5587.4624
Indian (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1.3061909 2648.988011 8.2653204 1982-1999 –> 2000-2012 2.430042 5892.1002
Indian (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.2658508 2599.924239 7.4648417 1982-1999 –> 2000-2012 2.273824 5614.0798
Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2726612 2610.316110 7.4273038 1982-1999 –> 2000-2012 2.249566 5560.5995
Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2620218 2597.186230 7.2668097 1982-1999 –> 2000-2012 2.236345 5541.9035
Indian (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2915578 2633.367790 7.7770550 1982-1999 –> 2000-2012 2.415239 5878.1617
Indian (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2632827 2598.747969 7.3016453 1982-1999 –> 2000-2012 2.238050 5544.4245
Indian (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3435959 2693.146503 8.0148049 1982-1999 –> 2000-2012 2.503628 6002.9268
Indian (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.2110452 761.235955 3.6699476 2000-2012 –> 2013-2019 2.386784 3247.6623
Indian (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2487554 775.463869 3.6921098 2000-2012 –> 2013-2019 2.512968 3375.3633
Indian (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 1.2503865 774.069520 3.7172328 2000-2012 –> 2013-2019 2.527423 3387.7535
Indian (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1.2584999 777.070572 3.3234362 2000-2012 –> 2013-2019 2.564691 3426.0586
Indian (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.2548120 775.708867 3.5297068 2000-2012 –> 2013-2019 2.520663 3375.6331
Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2605184 779.814164 3.6928632 2000-2012 –> 2013-2019 2.533180 3390.1303
Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2495953 775.775846 3.7026853 2000-2012 –> 2013-2019 2.511617 3372.9621
Indian (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2567085 778.409637 3.4441286 2000-2012 –> 2013-2019 2.548266 3411.7774
Indian (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2506171 776.155080 3.6719977 2000-2012 –> 2013-2019 2.513900 3374.9030
Indian (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 1.2571625 776.577212 3.3725799 2000-2012 –> 2013-2019 2.600758 3469.7237
Indian (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate_star 1.3031963 1511.912535 3.6876355 1982-1999 –> 2000-2012 2.510819 3569.9852
Indian (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.2990796 1511.090354 3.4769072 1982-1999 –> 2000-2012 2.506575 3571.0284
Indian (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate_star 1.2250034 1458.718859 3.9415600 1982-1999 –> 2000-2012 2.365854 3446.3263
Indian (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.9890722 1269.891879 3.8587050 1982-1999 –> 2000-2012 1.942941 3031.4495
Indian (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5585845 1675.543170 5.7123232 1982-1999 –> 2000-2012 2.619879 3573.0601
Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.2158565 1454.033487 3.8623948 1982-1999 –> 2000-2012 2.273546 3347.2162
Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0208830 1298.128975 4.2699171 1982-1999 –> 2000-2012 1.985209 3073.5780
Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5793045 1687.323406 5.7068111 1982-1999 –> 2000-2012 2.654639 3601.5835
Indian (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.2948413 1508.175407 3.8005718 1982-1999 –> 2000-2012 2.500005 3565.6511
Indian (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.2603431 1486.087656 3.1703763 1982-1999 –> 2000-2012 2.465096 3545.1293
Indian (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate_star 1.1733019 489.943165 3.3980751 2000-2012 –> 2013-2019 2.476498 2001.8557
Indian (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.0881048 469.026300 3.0568033 2000-2012 –> 2013-2019 2.387184 1980.1167
Indian (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate_star 1.1048219 473.661307 2.8564870 2000-2012 –> 2013-2019 2.329825 1932.3802
Indian (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.0843870 469.985842 2.9480915 2000-2012 –> 2013-2019 2.073459 1739.8777
Indian (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2235663 506.695337 3.4718984 2000-2012 –> 2013-2019 2.782151 2182.2385
Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0792091 468.530758 2.8248902 2000-2012 –> 2013-2019 2.295066 1922.5642
Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1740126 494.127252 3.1566618 2000-2012 –> 2013-2019 2.194896 1792.2562
Indian (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1668359 492.263219 3.3442015 2000-2012 –> 2013-2019 2.781299 2199.2267
Indian (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.0923161 470.200602 2.9944494 2000-2012 –> 2013-2019 2.387157 1978.3760
Indian (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.0795845 468.636505 2.9839492 2000-2012 –> 2013-2019 2.339928 1954.7242
Indian (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.4030044 21348.711029 5.0326517 1982-1999 –> 2000-2012 2.429319 43202.0109
Indian (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.2931887 20361.241364 7.0092226 1982-1999 –> 2000-2012 2.294560 41844.6346
Indian (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3138918 20554.055495 7.6749328 1982-1999 –> 2000-2012 2.428046 43650.7075
Indian (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.3129176 20545.050917 7.3589382 1982-1999 –> 2000-2012 2.317509 42076.9738
Indian (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3137021 20552.302712 7.6809015 1982-1999 –> 2000-2012 2.427873 43649.1777
Indian (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3137037 20552.317416 7.6783032 1982-1999 –> 2000-2012 2.427916 43649.7552
Indian (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3138977 20554.110054 7.5807410 1982-1999 –> 2000-2012 2.419596 43535.5956
Indian (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3137001 20552.284566 7.6793404 1982-1999 –> 2000-2012 2.427910 43649.6886
Indian (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate 1.4165613 21465.454318 5.2263321 1982-1999 –> 2000-2012 2.424865 43051.1292
Indian (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4015031 21337.713799 4.9340117 1982-1999 –> 2000-2012 2.402942 42822.1221
Indian (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.4003671 8342.912449 6.8385172 2000-2012 –> 2013-2019 2.693556 28704.1538
Indian (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4153520 8393.406966 7.0386250 2000-2012 –> 2013-2019 2.729244 28947.4625
Indian (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.4149362 8392.013008 7.0232243 2000-2012 –> 2013-2019 2.727854 28937.0639
Indian (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate 1.4158183 8392.969526 7.0453641 2000-2012 –> 2013-2019 2.729530 28943.3573
Indian (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4156677 8394.465044 7.0416915 2000-2012 –> 2013-2019 2.729370 28946.7678
Indian (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4156783 8394.500302 7.0419796 2000-2012 –> 2013-2019 2.729382 28946.8177
Indian (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate 1.4269599 8430.155836 7.0221529 2000-2012 –> 2013-2019 2.740913 28982.7793
Indian (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.4178554 8401.790243 7.0569003 2000-2012 –> 2013-2019 2.731753 28955.9003
Indian (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate 1.4269678 8430.181985 6.9850342 2000-2012 –> 2013-2019 2.740690 28980.6672
Indian (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4157387 8394.703008 7.0425901 2000-2012 –> 2013-2019 2.729439 28946.9876
Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.6214540 14948.971130 21.6446217 1982-1999 –> 2000-2012 11.620524 19104.5716
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 5.0892633 14474.748087 33.8724444 1982-1999 –> 2000-2012 9.485161 18227.2453
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.0843216 14472.135500 34.5127713 1982-1999 –> 2000-2012 9.462268 18221.3542
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 4.7160733 14115.156671 28.0289974 1982-1999 –> 2000-2012 8.975909 17829.0949
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6.0349012 15285.932584 27.0194158 1982-1999 –> 2000-2012 12.179967 19472.5510
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.8781321 15160.963123 19.6272973 1982-1999 –> 2000-2012 11.421527 19214.6571
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.9312623 15203.685690 19.3869810 1982-1999 –> 2000-2012 11.492111 19261.4349
Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.9772204 15240.333569 19.4484864 1982-1999 –> 2000-2012 11.560947 19303.3791
Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate 5.8954571 15172.936600 28.3583931 1982-1999 –> 2000-2012 10.964040 19109.1164
Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5.6225278 14949.877967 31.6140755 1982-1999 –> 2000-2012 10.691085 18888.0512
Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.2498738 12962.615907 22.9116071 2000-2012 –> 2013-2019 10.871328 27911.5870
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 4.2190406 12040.762744 15.8455866 2000-2012 –> 2013-2019 9.308304 26515.5108
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.2181202 12041.844723 16.0363728 2000-2012 –> 2013-2019 9.302442 26513.9802
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.8998280 11711.697101 14.1380138 2000-2012 –> 2013-2019 8.615901 25826.8538
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.5530218 13198.845517 24.7308497 2000-2012 –> 2013-2019 11.587923 28484.7781
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.6319991 13258.271775 25.2912326 2000-2012 –> 2013-2019 11.510131 28419.2349
Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.7232257 13325.886414 26.6333823 2000-2012 –> 2013-2019 11.654488 28529.5721
Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.7886108 13373.688293 27.7550743 2000-2012 –> 2013-2019 11.765831 28614.0219
Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate 4.8871766 12659.368252 25.7883134 2000-2012 –> 2013-2019 10.782634 27832.3049
Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.6304507 12434.302275 24.7572451 2000-2012 –> 2013-2019 10.252978 27384.1802
Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.7427804 12029.710914 24.6434729 1982-1999 –> 2000-2012 6.772839 15388.1479
Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6769598 11953.856856 25.8922442 1982-1999 –> 2000-2012 6.508093 15224.3877
Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5233209 11766.566905 28.3308082 1982-1999 –> 2000-2012 6.508659 15107.3177
Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5194224 11761.709049 28.4205188 1982-1999 –> 2000-2012 6.563720 15128.3532
Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5235115 11766.804267 28.3656219 1982-1999 –> 2000-2012 6.600862 15147.7462
Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.5080526 11747.510262 29.4365044 1982-1999 –> 2000-2012 6.532969 15105.6985
Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 3.5945524 11852.394940 26.9537835 1982-1999 –> 2000-2012 6.697027 15242.1024
Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.5725419 11827.443370 27.4560433 1982-1999 –> 2000-2012 6.590730 15182.6833
Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 3.5761472 11829.869309 27.4268773 1982-1999 –> 2000-2012 6.714900 15234.9691
Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.5726781 11825.610613 27.4524464 1982-1999 –> 2000-2012 6.737403 15241.6210
Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.5166454 7661.282817 17.3891089 2000-2012 –> 2013-2019 7.259426 19690.9937
Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3481898 7522.990234 18.6706988 2000-2012 –> 2013-2019 7.025150 19476.8471
Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3793738 7549.485526 18.6779802 2000-2012 –> 2013-2019 6.902695 19316.0524
Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3943195 7562.097558 18.5471778 2000-2012 –> 2013-2019 6.913742 19323.8066
Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4052223 7571.262932 18.5365799 2000-2012 –> 2013-2019 6.928734 19338.0672
Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4940642 7644.871745 17.8814358 2000-2012 –> 2013-2019 7.002117 19392.3820
Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 3.5187802 7663.017305 17.5516992 2000-2012 –> 2013-2019 7.113333 19515.4122
Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.5130750 7660.379645 17.4922530 2000-2012 –> 2013-2019 7.085617 19487.8230
Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 3.5250374 7668.094955 17.5117871 2000-2012 –> 2013-2019 7.101185 19497.9643
Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.5314458 7673.286000 17.5167439 2000-2012 –> 2013-2019 7.104124 19498.8966
Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.0816460 9711.262020 13.0268185 1982-1999 –> 2000-2012 4.642210 11561.1521
Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0301422 9649.013333 12.2334075 1982-1999 –> 2000-2012 4.572415 11489.2785
Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1191256 9759.344620 13.0173660 1982-1999 –> 2000-2012 4.796277 11682.2752
Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.1520912 9799.421725 12.9677601 1982-1999 –> 2000-2012 4.915683 11771.9047
Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1601361 9809.138431 12.9826906 1982-1999 –> 2000-2012 4.950653 11796.5613
Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.1477539 9794.172689 11.8288265 1982-1999 –> 2000-2012 4.922694 11772.9799
Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.1509917 9796.091824 13.4502893 1982-1999 –> 2000-2012 4.844519 11726.6033
Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0018301 9613.228534 10.9937673 1982-1999 –> 2000-2012 4.546585 11455.0791
Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.1827162 9834.279461 13.3943300 1982-1999 –> 2000-2012 4.960878 11812.8748
Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.1909596 9844.139952 13.4141670 1982-1999 –> 2000-2012 4.996435 11837.7658
Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6289419 6166.641573 12.2668666 2000-2012 –> 2013-2019 5.710588 15877.9036
Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5667971 6106.921304 11.2578391 2000-2012 –> 2013-2019 5.596939 15755.9346
Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6975039 6235.064742 11.9495959 2000-2012 –> 2013-2019 5.816630 15994.4094
Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7368482 6272.423372 12.2239072 2000-2012 –> 2013-2019 5.888939 16071.8451
Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.5857100 6125.861762 12.9250021 2000-2012 –> 2013-2019 5.930020 16150.9320
Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7446237 6279.742881 12.2391640 2000-2012 –> 2013-2019 5.904760 16088.8813
Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5726609 6112.808542 13.3748311 2000-2012 –> 2013-2019 5.720415 15906.9812
Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 2.7291756 6263.180371 12.0323115 2000-2012 –> 2013-2019 5.880167 16059.2722
Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3907304 5923.586641 13.0165556 2000-2012 –> 2013-2019 5.392561 15536.8152
Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 2.7667415 6298.450692 12.2489229 2000-2012 –> 2013-2019 5.949458 16132.7302
Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.2432083 12813.013903 16.0586763 1982-1999 –> 2000-2012 5.836115 16278.2355
Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.6088515 13339.882197 14.3680129 1982-1999 –> 2000-2012 6.142444 16771.4102
Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2385194 12807.878120 15.9837813 1982-1999 –> 2000-2012 5.656721 16173.5361
Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.5955266 13323.638224 14.3931896 1982-1999 –> 2000-2012 6.167342 16778.9676
Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.5426194 13250.525849 17.4075237 1982-1999 –> 2000-2012 6.032587 16658.7654
Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2852345 12878.513217 13.5091972 1982-1999 –> 2000-2012 6.003828 16414.6547
Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3105779 12916.414281 12.5731837 1982-1999 –> 2000-2012 6.069967 16474.2423
Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.5461509 13253.440014 17.6362764 1982-1999 –> 2000-2012 6.126758 16711.7386
Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 3.2897222 12883.245877 13.3539384 1982-1999 –> 2000-2012 6.140400 16486.4629
Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2420579 12813.264156 16.5348774 1982-1999 –> 2000-2012 5.751289 16232.7240
Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.1988649 8640.156857 10.3243055 2000-2012 –> 2013-2019 6.442073 21453.1708
Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1979774 8641.229538 10.3079722 2000-2012 –> 2013-2019 6.436497 21449.1077
Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2628749 8713.573880 10.5686666 2000-2012 –> 2013-2019 6.548109 21592.0871
Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2996876 8745.865087 10.9155923 2000-2012 –> 2013-2019 6.628978 21690.0775
Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.2919387 8738.007601 10.8863809 2000-2012 –> 2013-2019 6.616108 21674.6277
Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3011058 8747.301130 10.7608767 2000-2012 –> 2013-2019 6.611684 21663.7154
Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 3.2660570 8714.833490 10.2560194 2000-2012 –> 2013-2019 6.555779 21598.0794
Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1680583 8609.815880 13.1735848 2000-2012 –> 2013-2019 6.410116 21423.0800
Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 3.3029963 8747.214534 10.5731082 2000-2012 –> 2013-2019 6.636554 21695.7455
Pacific (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.2951465 8739.262602 10.5484120 2000-2012 –> 2013-2019 6.623611 21680.2515
Pacific (27,27.25] cstar_tref ~ aou + phosphate + phosphate_star 3.8365392 19354.564698 21.7905687 1982-1999 –> 2000-2012 5.927784 23470.9177
Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.8265562 19338.326402 21.2166396 1982-1999 –> 2000-2012 5.884804 23426.3973
Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.7396133 19177.445291 18.6471029 1982-1999 –> 2000-2012 5.704443 23177.0761
Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7342617 19169.420659 18.3049045 1982-1999 –> 2000-2012 5.596571 23069.0200
Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.8702423 19419.789456 17.2582657 1982-1999 –> 2000-2012 5.372201 22909.9392
Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.2553987 18208.773115 17.4508782 1982-1999 –> 2000-2012 5.219504 22209.7021
Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.8117600 19313.206816 16.4955288 1982-1999 –> 2000-2012 5.724164 23263.3456
Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.8542709 19390.842794 15.8532160 1982-1999 –> 2000-2012 5.956338 23521.0239
Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.2964684 18294.531780 19.2667061 1982-1999 –> 2000-2012 5.385358 22410.7395
Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0746313 17808.864591 15.8707932 1982-1999 –> 2000-2012 5.130436 21896.6745
Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.9626710 13460.071301 13.1396487 2000-2012 –> 2013-2019 7.702284 32637.5166
Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 3.9632764 13460.806185 13.2256450 2000-2012 –> 2013-2019 7.814065 32843.3218
Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9604279 13459.347774 13.2568273 2000-2012 –> 2013-2019 7.694690 32628.7684
Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.9307994 13423.228247 13.2269221 2000-2012 –> 2013-2019 7.801042 32843.0177
Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate 3.9658773 13463.961711 13.0337767 2000-2012 –> 2013-2019 7.780916 32781.1871
Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.6789453 13104.725860 13.1333096 2000-2012 –> 2013-2019 6.934344 31313.4990
Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9626857 13462.089152 13.1725229 2000-2012 –> 2013-2019 7.774446 32775.2960
Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9654944 13465.497215 13.2115095 2000-2012 –> 2013-2019 7.819765 32856.3400
Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.0030157 13508.795235 17.3733315 2000-2012 –> 2013-2019 7.299484 31803.3270
Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7836037 13239.650304 16.2163689 2000-2012 –> 2013-2019 6.858235 31048.5149
Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7244282 22763.568099 13.6425945 1982-1999 –> 2000-2012 4.634648 27624.7723
Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6020439 22331.715505 10.0349250 1982-1999 –> 2000-2012 4.350060 26984.7430
Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 2.7980915 23012.243827 12.8672985 1982-1999 –> 2000-2012 4.797812 27978.8689
Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.1503060 24128.252676 13.1453078 1982-1999 –> 2000-2012 4.593863 28332.3230
Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0249429 23746.705808 17.9767930 1982-1999 –> 2000-2012 4.557427 28091.0190
Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5391635 22101.865345 9.6830874 1982-1999 –> 2000-2012 4.350792 26838.7495
Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5578543 22170.776027 9.8263515 1982-1999 –> 2000-2012 4.414157 26964.8107
Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 2.5662859 22199.697659 10.2514229 1982-1999 –> 2000-2012 4.733773 27355.3188
Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.5425999 22114.573010 9.7354774 1982-1999 –> 2000-2012 4.397240 26906.5053
Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.6637012 22551.763577 19.4753229 1982-1999 –> 2000-2012 4.188652 26884.5163
Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.1176438 16311.158376 14.2546276 2000-2012 –> 2013-2019 5.842072 39074.7265
Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.8561449 15752.590447 14.7106661 2000-2012 –> 2013-2019 5.458189 38084.3060
Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.1856995 16446.844063 15.5433881 2000-2012 –> 2013-2019 5.983791 39459.0879
Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.9913065 16047.400640 17.3884207 2000-2012 –> 2013-2019 6.075303 39975.7696
Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate 2.9935472 16050.174830 17.4546967 2000-2012 –> 2013-2019 6.086653 40004.2561
Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.8145310 15659.009127 14.3844568 2000-2012 –> 2013-2019 5.353694 37760.8745
Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8219060 15675.694550 14.4573635 2000-2012 –> 2013-2019 5.379760 37846.4706
Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 2.8779875 15799.166035 14.0892112 2000-2012 –> 2013-2019 5.444273 37998.8637
Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8106375 15650.182745 14.3684296 2000-2012 –> 2013-2019 5.353237 37764.7558
Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3106569 16694.159053 15.4076488 2000-2012 –> 2013-2019 5.974358 39245.9226
Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.8276186 25876.088075 17.9644075 1982-1999 –> 2000-2012 4.186140 30027.4422
Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8643762 21494.420540 8.3041909 1982-1999 –> 2000-2012 3.227272 25653.4835
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.5318361 24713.732207 11.5565183 1982-1999 –> 2000-2012 4.060646 29148.2737
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.8592775 21465.610999 7.8552345 1982-1999 –> 2000-2012 3.273736 25713.7243
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 1.8595278 21465.026805 7.8680225 1982-1999 –> 2000-2012 3.280382 25721.9584
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8434345 21375.585047 8.1845515 1982-1999 –> 2000-2012 3.203804 25530.1993
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8426458 21371.083294 8.1881134 1982-1999 –> 2000-2012 3.205131 25529.4243
Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.6725151 25282.603950 16.4387387 1982-1999 –> 2000-2012 4.034472 29440.0145
Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 2.3190651 23788.279925 13.1060506 1982-1999 –> 2000-2012 3.703128 27982.3006
Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8397257 21354.398701 8.1682851 1982-1999 –> 2000-2012 3.201613 25511.6863
Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.3450506 19090.317500 13.0547045 2000-2012 –> 2013-2019 6.121648 44772.8492
Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3658625 16576.509708 9.5329474 2000-2012 –> 2013-2019 4.230239 38070.9302
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.9780072 18248.041235 13.4615309 2000-2012 –> 2013-2019 5.509843 42961.7734
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.3886285 16646.074830 8.8800939 2000-2012 –> 2013-2019 4.247906 38111.6858
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.9532357 18187.365388 14.5406678 2000-2012 –> 2013-2019 5.685768 43703.6040
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 2.3966298 16668.366703 9.1590180 2000-2012 –> 2013-2019 4.256157 38133.3935
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3742356 16602.172617 9.3366171 2000-2012 –> 2013-2019 4.217670 37977.7577
Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3747917 16603.873866 9.3236740 2000-2012 –> 2013-2019 4.217437 37974.9572
Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 2.9420902 18157.899207 9.9035074 2000-2012 –> 2013-2019 5.261155 41946.1791
Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3768088 16610.041136 9.2897269 2000-2012 –> 2013-2019 4.216534 37964.4398
Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2.5368325 9373.821505 7.7464658 1982-1999 –> 2000-2012 3.539801 10833.3183
Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9453999 8318.273884 7.5703777 1982-1999 –> 2000-2012 2.811680 9630.6222
Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.4233315 9193.461786 9.3235401 1982-1999 –> 2000-2012 3.210760 10408.6567
Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.1033153 8629.214161 10.4737226 1982-1999 –> 2000-2012 2.967274 9938.8313
Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9818171 8392.163413 7.6377886 1982-1999 –> 2000-2012 2.851383 9708.3663
Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9946453 8417.868553 7.7189362 1982-1999 –> 2000-2012 2.866385 9736.6129
Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.5241163 9355.800961 10.8878569 1982-1999 –> 2000-2012 3.486795 10775.5606
Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9992111 8426.977615 7.7858285 1982-1999 –> 2000-2012 2.871312 9746.1441
Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.6959476 9618.182087 7.5093444 1982-1999 –> 2000-2012 3.514275 10872.5600
Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.6547428 9556.820691 8.5236271 1982-1999 –> 2000-2012 3.519898 10867.8463
Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2.8564391 6839.910628 8.9527911 2000-2012 –> 2013-2019 5.393272 16213.7321
Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.1004911 5991.629447 6.7526801 2000-2012 –> 2013-2019 4.045891 14309.9033
Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.6024219 6584.304018 8.5195768 2000-2012 –> 2013-2019 5.025753 15777.7658
Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8256414 6811.926059 11.0054096 2000-2012 –> 2013-2019 5.386557 16225.3912
Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.2170132 6140.965012 14.3700105 2000-2012 –> 2013-2019 4.320328 14770.1792
Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1402067 6043.440104 6.8768359 2000-2012 –> 2013-2019 4.122024 14435.6035
Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.1537443 6060.880976 6.8761803 2000-2012 –> 2013-2019 4.148390 14478.7495
Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.9762484 6955.559489 13.4133633 2000-2012 –> 2013-2019 5.500365 16311.3605
Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.1593190 6068.031126 6.9051528 2000-2012 –> 2013-2019 4.158530 14495.0087
Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.8648987 6850.090229 8.4717190 2000-2012 –> 2013-2019 5.519641 16406.9109
Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.6978039 11535.557479 11.1019833 1982-1999 –> 2000-2012 3.747467 13193.0544
Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.8766992 11842.331098 15.6240612 1982-1999 –> 2000-2012 3.607822 13094.7868
Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.7955112 11705.543965 10.1419970 1982-1999 –> 2000-2012 3.385202 12717.2195
Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.6277669 11409.878411 10.4943190 1982-1999 –> 2000-2012 3.522567 12888.5961
Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.8933199 11869.857491 15.7337389 1982-1999 –> 2000-2012 3.628418 13128.3869
Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9039571 11887.391505 15.8117139 1982-1999 –> 2000-2012 3.641518 13149.6676
Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9070295 11892.443966 15.8310897 1982-1999 –> 2000-2012 3.644991 13155.3271
Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 2.9008501 11880.276639 10.0635416 1982-1999 –> 2000-2012 3.495062 12898.5062
Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.8066514 11724.546650 10.4112452 1982-1999 –> 2000-2012 3.399472 12742.1500
Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0108213 12060.061467 14.8063992 1982-1999 –> 2000-2012 3.732206 13297.5004
Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate_star 2.9707153 8307.608173 9.6697965 2000-2012 –> 2013-2019 5.777507 20030.3940
Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate 2.8622053 8182.516386 12.2309989 2000-2012 –> 2013-2019 5.676066 19915.3208
Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate_star 2.8236056 8139.601131 14.4720467 2000-2012 –> 2013-2019 5.637081 19873.7511
Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 2.8529325 8173.781897 12.0709060 2000-2012 –> 2013-2019 5.553045 19711.4269
Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7963098 8109.467089 14.7857634 2000-2012 –> 2013-2019 5.494114 19645.0246
Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 2.7976140 8109.009647 12.8102351 2000-2012 –> 2013-2019 5.604526 19831.9992
Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.7973034 8110.642281 13.0585690 2000-2012 –> 2013-2019 5.592815 19816.1862
Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.6905859 7981.971362 12.7085349 2000-2012 –> 2013-2019 5.318353 19391.8498
Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 2.9620172 8297.908393 10.6148486 2000-2012 –> 2013-2019 5.788089 20053.4015
Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.9601467 8297.818712 11.2922147 2000-2012 –> 2013-2019 5.766798 20022.3654
Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2014996 9891.865329 5.0434015 1982-1999 –> 2000-2012 1.973858 11410.0449
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 1.2375316 10072.001333 5.2412636 1982-1999 –> 2000-2012 2.057576 11665.8235
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.2346488 10059.625623 5.0661466 1982-1999 –> 2000-2012 2.041970 11635.1830
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.1565240 9656.699459 4.9493808 1982-1999 –> 2000-2012 1.963774 11232.1422
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1986773 9877.369027 5.0535084 1982-1999 –> 2000-2012 1.976430 11404.5685
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1978005 9872.858619 5.0641810 1982-1999 –> 2000-2012 1.978147 11404.3721
Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2168711 9970.225115 4.9883938 1982-1999 –> 2000-2012 2.009011 11521.1785
Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1975957 9871.804529 5.0653683 1982-1999 –> 2000-2012 1.978355 11404.0040
Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 1.2497700 10132.659869 4.6659597 1982-1999 –> 2000-2012 2.110009 11788.4975
Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.3587431 10649.973357 6.4826210 1982-1999 –> 2000-2012 2.099350 12113.7480
Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0807339 5910.520719 6.4649382 2000-2012 –> 2013-2019 2.282233 15802.3860
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 1.0428283 5767.847897 6.6936535 2000-2012 –> 2013-2019 2.280360 15839.8492
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0330522 5732.737514 7.0195789 2000-2012 –> 2013-2019 2.267701 15792.3631
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.0246410 5700.526586 5.9360412 2000-2012 –> 2013-2019 2.181165 15357.2260
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1013877 5985.107213 6.9009523 2000-2012 –> 2013-2019 2.371565 16219.6065
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0803879 5909.259089 6.3289548 2000-2012 –> 2013-2019 2.279065 15786.6281
Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0804464 5909.472681 6.2721544 2000-2012 –> 2013-2019 2.278247 15782.3313
Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1139946 6029.949864 5.7771379 2000-2012 –> 2013-2019 2.330866 16000.1750
Pacific (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.1019383 5985.076304 7.1071618 2000-2012 –> 2013-2019 2.396087 16332.8213
Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0804726 5909.568082 6.2600608 2000-2012 –> 2013-2019 2.278068 15781.3726
Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1606164 5498.478360 6.2073911 1982-1999 –> 2000-2012 1.852029 6415.4100
Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 1.2596495 5782.902589 7.5836690 1982-1999 –> 2000-2012 1.977882 6730.5624
Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.2486601 5754.251657 6.9102026 1982-1999 –> 2000-2012 1.966336 6703.2449
Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.1791121 5553.783410 5.8267582 1982-1999 –> 2000-2012 1.877649 6479.5313
Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1619929 5502.624738 6.1914846 1982-1999 –> 2000-2012 1.858730 6426.1537
Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1625852 5504.407072 6.1781078 1982-1999 –> 2000-2012 1.861676 6430.8365
Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1631714 5506.170531 6.1434012 1982-1999 –> 2000-2012 1.866378 6437.6473
Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1626486 5504.597919 6.1751366 1982-1999 –> 2000-2012 1.861978 6431.3202
Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.1696306 5523.541461 5.6784116 1982-1999 –> 2000-2012 1.885017 6467.7863
Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2148515 5658.234278 6.1955693 1982-1999 –> 2000-2012 1.865516 6522.9271
Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.9151802 2924.705602 10.6780144 2000-2012 –> 2013-2019 2.075797 8423.1840
Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.9241884 2946.137150 11.3817937 2000-2012 –> 2013-2019 2.172849 8700.3888
Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.9720338 3056.575457 8.9355550 2000-2012 –> 2013-2019 2.151146 8610.3589
Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.9070530 2905.188492 11.4397055 2000-2012 –> 2013-2019 2.221453 8838.9202
Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9208159 2938.138133 10.6944476 2000-2012 –> 2013-2019 2.082809 8440.7629
Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.9230725 2943.493540 10.6847594 2000-2012 –> 2013-2019 2.085658 8447.9006
Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.9339265 2969.071195 10.3132520 2000-2012 –> 2013-2019 2.097098 8475.2417
Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9234926 2944.489104 10.6778356 2000-2012 –> 2013-2019 2.086141 8449.0870
Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 0.9786976 3069.524329 7.8650054 2000-2012 –> 2013-2019 2.148328 8593.0658
Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8876313 2857.830530 10.0636385 2000-2012 –> 2013-2019 2.102483 8516.0648
Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.2311812 57466.790502 6.0131931 1982-1999 –> 2000-2012 2.101518 68929.6766
Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.2166564 57045.698753 6.2572692 1982-1999 –> 2000-2012 2.080968 68444.4575
Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1742897 55796.063138 6.5720529 1982-1999 –> 2000-2012 2.008042 66874.8662
Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1748688 55813.475160 6.5668852 1982-1999 –> 2000-2012 2.009051 66896.8829
Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1752308 55824.355290 6.5619116 1982-1999 –> 2000-2012 2.009888 66912.8566
Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1786158 55925.921878 6.5738804 1982-1999 –> 2000-2012 2.012850 67009.8899
Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1752080 55823.669476 6.5619895 1982-1999 –> 2000-2012 2.009859 66912.0990
Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.1788987 55932.399071 6.5709849 1982-1999 –> 2000-2012 2.014010 67023.7671
Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.2678019 58501.863489 6.8255791 1982-1999 –> 2000-2012 2.165327 70239.8806
Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1702598 55674.665672 6.6705381 1982-1999 –> 2000-2012 1.999099 66700.6058
Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 0.9334082 33716.746135 5.7943859 2000-2012 –> 2013-2019 2.150065 90762.4449
Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8761258 32137.577233 6.1190117 2000-2012 –> 2013-2019 2.050416 87933.6404
Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.9935642 35278.024603 5.8834655 2000-2012 –> 2013-2019 2.246791 93371.5570
Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8768697 32158.764627 6.1164190 2000-2012 –> 2013-2019 2.051738 87972.2398
Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8775715 32178.739595 6.1135833 2000-2012 –> 2013-2019 2.052802 88003.0949
Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.8824731 32317.797332 6.3360656 2000-2012 –> 2013-2019 2.061089 88243.7192
Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8775203 32177.280623 6.1119109 2000-2012 –> 2013-2019 2.052728 88000.9501
Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 0.8888258 32494.874796 6.8732855 2000-2012 –> 2013-2019 2.067725 88427.2739
Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.9784456 34895.206965 8.9128126 2000-2012 –> 2013-2019 2.246247 93397.0705
Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8741961 32082.525590 6.5256980 2000-2012 –> 2013-2019 2.044456 87757.1913

5.3 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)

5.4 Plot selected model residuals

# plot model diagnostics, if activated
if (params_local$plot_all_figures == "y") {
  # mutate predictors column
  lm_best_plot <- lm_best_target %>%
    select(basin, gamma_slab, model, eras, era) %>%
    mutate(
      predictors = str_remove(model, paste(params_local$MLR_target, "~ ")),
      predictors = str_replace_all(predictors, "\\+ ", "")
    )
  
  # loop across all basins, era, gamma slabs, and MLRs
  # fit all MLR models
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[2]
      print(i_basin)
      print(i_era)
      
      GLODAP_basin_era <- GLODAP %>%
        filter(basin == i_basin, era == i_era)
      
      for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
        #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
        print(i_gamma_slab)
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        lm_best_basin_era_slab <- lm_best_plot %>%
          filter(basin == i_basin, era == i_era, gamma_slab == i_gamma_slab)
        
        for (i_eras in unique(lm_best_basin_era_slab$eras)) {
          #i_eras <- unique(lm_best_basin_era_slab$eras)[1]
          print(i_eras)
          
          lm_best_basin_era_slab_eras <- lm_best_basin_era_slab %>%
            filter(eras == i_eras)
          
          for (i_predictors in unique(lm_best_basin_era_slab_eras$predictors)) {
            #i_predictors <- unique(lm_best_basin_era_slab$predictors)[1]
            print(i_predictors)
            # extract one model definition
            i_lm <- lm_all %>%
              filter(predictors == i_predictors) %>%
              select(lm_coeff) %>%
              pull()
            
            # fit model
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
            
            p_model <- 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,
              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)
            
          }
          
        }
        
      }
    }
  }
  
  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/

5.5 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)

5.6 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

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

6.1.1 All models

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

Version Author Date
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
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
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
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 8 3 6 8 8 7 9
(26,26.5] 7 5 4 8 7 9 9
(26.5,26.75] 8 1 7 8 4 10 8
(26.75,27] 8 1 7 8 4 10 8
(27,27.25] 8 4 5 7 8 10 7
(27.25,27.5] 8 4 5 7 9 8 8
(27.5,27.75] 6 2 5 9 10 6 9
(27.75,27.85] 7 3 5 7 10 9 7
(27.85,27.95] 7 2 6 9 8 7 9
(27.95,28.05] 6 6 3 9 7 7 9
(28.05,28.1] 8 1 9 8 8 4 8
(28.1,28.15] 9 1 8 8 5 8 8
(28.15,28.2] 10 8 2 7 6 5 8
(28.2, Inf] 9 10 0 5 8 6 6
total 109.00 51.00 72.00 108.00 102.00 106.00 113.00
Atlantic - 2000-2012 --> 2013-2019
(26,26.5] 8 6 3 7 9 8 8
(26.5,26.75] 8 1 7 8 4 10 8
(26.75,27] 9 2 6 8 7 10 5
(27,27.25] 9 4 4 6 8 10 6
(27.25,27.5] 7 6 2 6 8 10 8
(27.5,27.75] 7 2 6 8 10 7 7
(27.75,27.85] 7 2 6 8 9 8 8
(27.85,27.95] 7 2 6 9 8 7 9
(27.95,28.05] 8 4 5 9 7 7 9
(28.05,28.1] 9 2 8 8 7 5 8
(28.1,28.15] 9 1 8 9 6 7 7
(28.15,28.2] 9 7 3 7 6 6 9
(28.2, Inf] 10 10 0 5 7 6 5
total 107.00 49.00 64.00 98.00 96.00 101.00 97.00
Indian - 1982-1999 --> 2000-2012
(-Inf,26] 7 2 6 9 9 6 9
(26,26.5] 7 2 6 8 5 10 9
(26.5,26.75] 6 3 4 9 6 10 9
(26.75,27] 6 3 4 9 6 10 9
(27,27.25] 5 7 2 9 6 6 10
(27.25,27.5] 6 8 2 9 5 5 10
(27.5,27.75] 6 6 4 10 5 5 10
(27.75,27.85] 7 4 5 8 8 10 5
(27.85,27.95] 5 3 4 9 10 10 5
(27.95,28.05] 5 3 4 9 10 10 5
(28.05,28.1] 10 7 2 10 6 5 5
(28.1, Inf] 8 6 3 7 7 10 7
total 78.00 54.00 46.00 106.00 83.00 97.00 93.00
Indian - 2000-2012 --> 2013-2019
(-Inf,26] 7 2 6 8 5 10 9
(26,26.5] 7 2 6 8 5 10 9
(26.5,26.75] 6 3 5 9 6 10 8
(26.75,27] 6 3 4 9 6 10 9
(27,27.25] 9 10 0 8 6 5 6
(27.25,27.5] 8 10 0 9 6 5 6
(27.5,27.75] 6 7 3 10 4 4 10
(27.75,27.85] 8 2 7 7 6 10 7
(27.85,27.95] 7 4 4 8 9 9 7
(27.95,28.05] 5 3 4 9 10 10 5
(28.05,28.1] 9 8 2 10 6 5 5
(28.1, Inf] 6 4 4 5 10 10 8
total 84.00 58.00 45.00 100.00 79.00 98.00 89.00
Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 9 5 4 6 8 7 9
(26,26.5] 8 1 7 8 4 10 8
(26.5,26.75] 8 1 7 8 4 10 8
(26.75,27] 10 2 8 8 5 6 7
(27,27.25] 9 1 9 9 6 5 6
(27.25,27.5] 8 2 6 8 9 8 7
(27.5,27.75] 7 4 4 6 10 9 8
(27.75,27.85] 8 3 6 8 8 8 8
(27.85,27.95] 9 5 4 8 7 8 8
(27.95,28.05] 7 4 4 7 9 8 9
(28.05,28.1] 7 4 4 7 9 8 9
(28.1, Inf] 7 3 5 8 8 10 7
total 97.00 35.00 68.00 91.00 87.00 97.00 94.00
Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 9 5 4 6 8 7 9
(26,26.5] 8 1 7 8 4 10 8
(26.5,26.75] 8 2 6 8 5 10 8
(26.75,27] 8 1 7 8 4 10 8
(27,27.25] 9 1 9 7 8 5 7
(27.25,27.5] 8 2 5 6 9 10 7
(27.5,27.75] 8 2 6 6 10 7 8
(27.75,27.85] 8 3 6 7 9 8 8
(27.85,27.95] 10 10 0 5 7 6 5
(27.95,28.05] 7 4 5 7 10 6 9
(28.05,28.1] 7 3 5 8 9 8 9
(28.1, Inf] 7 3 5 7 8 10 8
total 97.00 37.00 65.00 83.00 91.00 97.00 94.00

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
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
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.3      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

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