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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

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

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

lm_all <- anti_join(lm_all, lm_rm)

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

3 Apply predictor threshold

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

  • Minimum: 3
  • Maximum: 6
lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

  • 83

4 Fit all models

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

  • cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 138 1.0341977 412.9078 4.179751 1982-1999 –> 2000-2010 2.3705461 1135.8016
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 138 1.0338079 414.8038 4.140896 1982-1999 –> 2000-2010 2.3695004 1139.4933
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 138 1.0344557 414.9766 4.042339 1982-1999 –> 2000-2010 2.3717089 1140.1520
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 138 1.0362706 415.4604 4.086571 1982-1999 –> 2000-2010 2.3738120 1140.7255
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 138 1.0119269 410.8994 3.355009 1982-1999 –> 2000-2010 2.3487632 1137.9451
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 138 1.0130157 411.1962 3.380480 1982-1999 –> 2000-2010 2.3501028 1138.3199
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 138 1.0408152 414.6682 4.358044 1982-1999 –> 2000-2010 2.3787282 1138.0488
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 138 1.0267087 412.9019 3.722635 1982-1999 –> 2000-2010 2.3628962 1137.7456
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 138 1.0405125 416.5879 4.324594 1982-1999 –> 2000-2010 2.3774568 1141.6672
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 138 1.0261779 414.7592 3.672926 1982-1999 –> 2000-2010 2.3618031 1141.4278
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 92 1.1737104 304.5560 3.337674 2000-2010 –> 2011-2019 2.2075183 719.3597
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 92 1.1082342 293.9940 2.868380 2000-2010 –> 2011-2019 2.1426899 708.9706
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 92 1.1103716 294.3485 2.874818 2000-2010 –> 2011-2019 2.1466421 709.8090
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 92 1.1696494 303.9182 2.822378 2000-2010 –> 2011-2019 2.2461386 729.8878
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 92 1.0353993 283.4855 2.646630 2000-2010 –> 2011-2019 2.0473262 694.3849
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 92 1.0348611 283.3899 2.666410 2000-2010 –> 2011-2019 2.0478769 694.5861
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 92 1.1789699 305.3787 3.504462 2000-2010 –> 2011-2019 2.2194824 721.9666
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 92 1.1696730 305.9219 3.242594 2000-2010 –> 2011-2019 2.1958508 720.6811
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 92 1.1811762 305.7227 3.557963 2000-2010 –> 2011-2019 2.2233460 722.7498
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 92 1.1823745 305.9092 3.581613 2000-2010 –> 2011-2019 2.2265529 723.4678
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 903 3.5569805 4868.2581 13.513007 1982-1999 –> 2000-2010 7.0037255 12984.1830
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 903 3.4439387 4807.9311 15.710850 1982-1999 –> 2000-2010 6.8786776 12911.2134
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 903 3.3649856 4768.0462 14.493711 1982-1999 –> 2000-2010 6.7265350 12807.6348
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 903 3.3682510 4769.7979 14.545913 1982-1999 –> 2000-2010 6.7339967 12813.1915
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 903 3.2945979 4729.8682 14.996889 1982-1999 –> 2000-2010 6.6330498 12748.4276
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 903 3.2855457 4726.8992 15.493560 1982-1999 –> 2000-2010 6.6238674 12747.3397
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 903 3.2833208 4725.6757 15.530779 1982-1999 –> 2000-2010 6.6217626 12746.2261
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 903 3.6172276 4898.5914 14.212327 1982-1999 –> 2000-2010 7.1536294 13092.8387
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 903 3.5374491 4860.3140 12.712614 1982-1999 –> 2000-2010 6.9322799 12931.9510
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 903 3.6250881 4902.5117 14.324424 1982-1999 –> 2000-2010 7.1725264 13106.2628
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 710 3.5876836 3842.9523 11.056693 2000-2010 –> 2011-2019 7.1446642 8711.2104
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 710 3.3643204 3749.6736 10.347675 2000-2010 –> 2011-2019 6.8082591 8557.6047
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 710 3.3237307 3734.4375 9.983221 2000-2010 –> 2011-2019 6.6887164 8502.4837
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 710 3.3258081 3735.3247 9.984337 2000-2010 –> 2011-2019 6.6940591 8505.1226
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 710 3.2302536 3693.9288 11.314066 2000-2010 –> 2011-2019 6.5248515 8423.7970
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 710 3.1873862 3676.9584 13.527873 2000-2010 –> 2011-2019 6.4729319 8403.8576
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 710 3.1830169 3675.0106 13.596635 2000-2010 –> 2011-2019 6.4663377 8400.6863
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 710 3.6325040 3860.5823 10.456569 2000-2010 –> 2011-2019 7.2497316 8759.1737
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 710 3.5746585 3839.7876 11.947532 2000-2010 –> 2011-2019 7.1121075 8700.1016
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 710 3.6380268 3862.7396 10.463413 2000-2010 –> 2011-2019 7.2631149 8765.2513
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1185 3.2352167 6157.4917 10.813474 1982-1999 –> 2000-2010 6.3338302 15843.7868
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1185 3.1712045 6112.1286 10.266114 1982-1999 –> 2000-2010 6.2303546 15751.7936
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1185 3.1520698 6099.7849 9.771790 1982-1999 –> 2000-2010 6.2141718 15745.1092
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1185 3.1702560 6113.4196 9.949314 1982-1999 –> 2000-2010 6.2542210 15785.7363
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1185 3.1880326 6124.6717 10.339682 1982-1999 –> 2000-2010 6.2703885 15793.0085
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1185 3.1095373 6067.5875 9.867166 1982-1999 –> 2000-2010 6.0905175 15611.0451
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1185 3.2057114 6137.7779 10.533649 1982-1999 –> 2000-2010 6.3102104 15833.2727
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1185 3.2105124 6141.3247 10.580156 1982-1999 –> 2000-2010 6.3219030 15845.2322
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1185 3.2177998 6146.6982 9.977704 1982-1999 –> 2000-2010 6.3329818 15855.2260
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1185 3.1158141 6070.3668 9.939754 1982-1999 –> 2000-2010 6.0988478 15614.4369
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 868 3.4980630 4651.1128 9.875088 2000-2010 –> 2011-2019 6.7299705 10808.1789
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 868 3.5028068 4653.4654 11.671917 2000-2010 –> 2011-2019 6.6740113 10765.5940
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 868 3.4483082 4628.2435 9.800086 2000-2010 –> 2011-2019 6.6003780 10728.0284
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 868 3.4619863 4635.1159 9.862273 2000-2010 –> 2011-2019 6.6322423 10748.5355
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 868 3.5115755 4657.8058 11.668073 2000-2010 –> 2011-2019 6.6996080 10782.4775
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 868 3.4634304 4635.8398 11.250747 2000-2010 –> 2011-2019 6.5729677 10703.4274
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 868 3.5262330 4665.0368 11.723017 2000-2010 –> 2011-2019 6.7319443 10802.8148
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 868 3.5298189 4666.8014 11.731462 2000-2010 –> 2011-2019 6.7403314 10808.1261
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 868 3.5012336 4652.6856 9.386026 2000-2010 –> 2011-2019 6.7190335 10799.3838
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 868 3.4940939 4649.1419 11.129108 2000-2010 –> 2011-2019 6.6099080 10719.5087
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2007 2.0756941 8639.0257 14.498483 1982-1999 –> 2000-2010 3.7482314 20792.0266
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2007 1.9862990 8464.3195 13.838369 1982-1999 –> 2000-2010 3.6392879 20545.4882
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2007 2.0338871 8561.3538 12.911927 1982-1999 –> 2000-2010 3.7417289 20849.5350
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2007 2.1025712 8694.6675 19.838996 1982-1999 –> 2000-2010 3.8500759 21127.0277
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2007 2.0569621 8604.6372 13.959062 1982-1999 –> 2000-2010 3.7802973 20947.5333
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2007 1.9659455 8424.9761 13.498851 1982-1999 –> 2000-2010 3.4793583 19954.1361
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2007 2.1320212 8748.5000 21.429707 1982-1999 –> 2000-2010 3.8958423 21237.2243
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2007 2.1612004 8803.0637 24.354226 1982-1999 –> 2000-2010 3.9395867 21343.4339
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2007 2.1155893 8717.4435 13.086781 1982-1999 –> 2000-2010 3.8641593 21151.6311
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2007 2.0727203 8635.2710 16.865464 1982-1999 –> 2000-2010 3.5861696 20162.5823
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1654 2.5494966 7801.7924 27.697323 2000-2010 –> 2011-2019 4.6251906 16440.8181
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1654 2.4675676 7695.7431 22.926039 2000-2010 –> 2011-2019 4.6489111 16536.0454
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 1654 2.4887515 7722.0208 24.985488 2000-2010 –> 2011-2019 4.6734377 16566.4695
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1654 2.4378718 7655.6917 26.094232 2000-2010 –> 2011-2019 4.4241708 16120.0111
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1654 2.4307760 7648.0491 23.304113 2000-2010 –> 2011-2019 4.4646631 16209.4029
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1654 2.4611923 7689.1854 23.360181 2000-2010 –> 2011-2019 4.5637635 16383.8528
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1654 2.4689586 7697.6073 25.825883 2000-2010 –> 2011-2019 4.5259207 16302.2445
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1654 2.1535279 7247.4399 22.516512 2000-2010 –> 2011-2019 4.1194734 15672.4160
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1654 2.5018028 7741.3230 25.990275 2000-2010 –> 2011-2019 4.6338240 16489.8230
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1654 2.1639596 7261.4252 22.660033 2000-2010 –> 2011-2019 4.2366800 15896.6962
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1718 1.8337474 6972.9313 10.997358 1982-1999 –> 2000-2010 3.5355426 17173.0806
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1718 1.8811325 7058.5918 9.293604 1982-1999 –> 2000-2010 3.5975076 17301.2894
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1718 1.8537326 7010.1762 9.767083 1982-1999 –> 2000-2010 3.4237181 16789.3421
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1718 1.7577847 6829.5635 12.399649 1982-1999 –> 2000-2010 3.2043614 16183.2223
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1718 1.7760947 6865.1696 11.984741 1982-1999 –> 2000-2010 3.2335456 16257.9361
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1718 1.8619228 7025.3238 9.426342 1982-1999 –> 2000-2010 3.4186939 16760.3503
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1718 1.8223181 6953.4486 12.077540 1982-1999 –> 2000-2010 3.3790311 16690.2805
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1718 1.8838856 7065.6168 8.728035 1982-1999 –> 2000-2010 3.4653143 16882.7063
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1718 1.8887519 7074.4811 8.583521 1982-1999 –> 2000-2010 3.4821086 16930.8097
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1718 2.0160592 7298.6061 13.697225 1982-1999 –> 2000-2010 3.6832359 17391.4321
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1455 2.1356081 6351.0778 10.723843 2000-2010 –> 2011-2019 3.9693555 13324.0091
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1455 2.2352316 6483.7546 11.845042 2000-2010 –> 2011-2019 4.3077582 13877.2759
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1455 2.2644017 6519.4849 13.764140 2000-2010 –> 2011-2019 4.1455342 13578.0768
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1455 2.2629528 6519.6223 13.921405 2000-2010 –> 2011-2019 4.1166854 13529.7985
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1455 2.1238147 6336.9635 9.747442 2000-2010 –> 2011-2019 3.8815995 13166.5271
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1455 2.1385048 6357.0222 9.631005 2000-2010 –> 2011-2019 3.9145995 13222.1918
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1455 2.2595322 6515.2204 14.061293 2000-2010 –> 2011-2019 4.1214551 13540.5442
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1455 2.2125532 6456.0793 14.187471 2000-2010 –> 2011-2019 4.0348713 13409.5279
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1455 2.2791276 6540.3480 14.043126 2000-2010 –> 2011-2019 4.1630131 13605.9647
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1455 2.2826008 6544.7792 14.036887 2000-2010 –> 2011-2019 4.1713527 13619.2603
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1746 2.4551815 8105.4502 16.361338 1982-1999 –> 2000-2010 4.8768819 21377.8694
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1746 2.6274808 8342.2945 21.211260 1982-1999 –> 2000-2010 4.7945288 20975.1987
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 1746 2.1053580 7568.6768 12.747720 1982-1999 –> 2000-2010 3.8041993 18800.4587
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1746 2.1037440 7567.9988 12.916615 1982-1999 –> 2000-2010 3.7954824 18777.6640
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1746 2.1015131 7564.2937 13.426222 1982-1999 –> 2000-2010 3.7989028 18793.1551
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 1746 2.6488542 8370.5855 21.825053 1982-1999 –> 2000-2010 4.8757558 21160.3137
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1746 2.6088506 8319.4461 20.436110 1982-1999 –> 2000-2010 4.7399317 20858.0153
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 1746 2.3305489 7921.5279 11.900975 1982-1999 –> 2000-2010 4.0506284 19222.8227
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1746 2.2085092 7735.7068 13.444391 1982-1999 –> 2000-2010 3.9275165 19035.4128
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1746 2.1999537 7722.1530 15.366013 1982-1999 –> 2000-2010 3.9158524 19011.4402
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1388 2.9677724 6970.7385 21.519349 2000-2010 –> 2011-2019 5.7216853 15475.1474
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 1388 2.9418952 6946.4273 16.058883 2000-2010 –> 2011-2019 5.4565846 15133.5059
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1388 2.9312123 6938.3284 14.623084 2000-2010 –> 2011-2019 5.3863938 15043.7786
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1388 2.7521896 6763.3870 17.076695 2000-2010 –> 2011-2019 5.1963805 14853.1701
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 1388 2.7698271 6781.1203 13.956477 2000-2010 –> 2011-2019 4.8751851 14349.7971
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1388 2.6944459 6706.5240 14.139069 2000-2010 –> 2011-2019 4.7981899 14274.5228
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1388 2.6760564 6687.5129 16.422517 2000-2010 –> 2011-2019 4.7775694 14251.8065
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 1388 3.0777910 7071.7862 11.915546 2000-2010 –> 2011-2019 5.4083399 14993.3141
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1388 2.7846691 6795.9557 14.147243 2000-2010 –> 2011-2019 4.9931783 14531.6624
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1388 2.7598039 6771.0565 16.780096 2000-2010 –> 2011-2019 4.9597576 14493.2095
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2382 2.3807391 10906.1690 15.758405 1982-1999 –> 2000-2010 4.6818595 27740.6043
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2382 2.3786567 10902.0003 14.526193 1982-1999 –> 2000-2010 4.4792246 27055.4408
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2382 2.3545390 10855.4505 15.516125 1982-1999 –> 2000-2010 4.4211481 26889.1732
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2382 2.3902457 10927.1546 14.444490 1982-1999 –> 2000-2010 4.4521480 26943.8489
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2382 2.3753173 10895.3074 14.424190 1982-1999 –> 2000-2010 4.4421108 26927.6962
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2382 2.3752758 10897.2243 14.407301 1982-1999 –> 2000-2010 4.4340032 26902.4103
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2382 2.3946973 10934.0187 14.047313 1982-1999 –> 2000-2010 4.4611788 26965.2801
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2382 2.3959515 10936.5133 14.012170 1982-1999 –> 2000-2010 4.4644115 26974.9212
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2382 2.3937789 10932.1914 14.045313 1982-1999 –> 2000-2010 4.4611547 26966.6839
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2382 2.4114008 10965.1331 14.450530 1982-1999 –> 2000-2010 4.5116011 27115.2668
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1937 2.6573938 9297.2058 19.006686 2000-2010 –> 2011-2019 5.0381329 20203.3749
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 1937 2.8098769 9511.3548 15.377731 2000-2010 –> 2011-2019 5.2547209 20542.1050
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1937 2.8042018 9505.5226 15.279124 2000-2010 –> 2011-2019 5.1828584 20407.5228
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1937 2.6466404 9283.4975 19.409396 2000-2010 –> 2011-2019 5.0011794 20138.9480
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1937 2.7186156 9387.4436 20.523804 2000-2010 –> 2011-2019 5.1088614 20314.5982
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1937 2.8022528 9502.8292 15.445147 2000-2010 –> 2011-2019 5.1775701 20398.1366
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1937 2.7995804 9501.1329 15.983372 2000-2010 –> 2011-2019 5.1748562 20398.3571
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1937 2.8060176 9508.0303 16.827021 2000-2010 –> 2011-2019 5.2007149 20442.0490
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1937 2.8194191 9526.4885 16.721129 2000-2010 –> 2011-2019 5.2153707 20463.0018
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1937 2.8047647 9506.3002 16.726969 2000-2010 –> 2011-2019 5.1985436 20438.4916
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 855 1.5910443 3234.4928 12.633150 1982-1999 –> 2000-2010 3.2544227 8337.8564
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 855 1.5238470 3160.7020 12.854686 1982-1999 –> 2000-2010 3.1208919 8156.6289
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 855 1.5032127 3137.3888 14.345882 1982-1999 –> 2000-2010 3.0421870 8035.5331
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 855 1.6216538 3267.0783 15.518268 1982-1999 –> 2000-2010 3.2308759 8283.0585
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 855 1.4822485 3115.3729 12.907839 1982-1999 –> 2000-2010 3.0089599 7994.3967
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 855 1.5658687 3209.2185 12.700625 1982-1999 –> 2000-2010 3.1743204 8225.9345
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 855 1.6273793 3273.1052 11.372827 1982-1999 –> 2000-2010 3.1951798 8220.2414
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 855 1.5561906 3196.6169 12.946126 1982-1999 –> 2000-2010 3.1855615 8245.4468
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 855 1.4599352 3089.4353 12.202481 1982-1999 –> 2000-2010 3.0124722 8012.7436
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 855 1.6014058 3245.5929 13.065817 1982-1999 –> 2000-2010 3.2727802 8361.6168
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate 694 1.7294028 2741.8000 13.600541 2000-2010 –> 2011-2019 3.3299159 5984.4394
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 694 1.7004058 2720.3300 11.773276 2000-2010 –> 2011-2019 3.2914501 5954.8227
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 694 1.7303093 2744.5274 12.029848 2000-2010 –> 2011-2019 3.2541563 5905.2293
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 694 1.6628347 2689.3177 14.066662 2000-2010 –> 2011-2019 3.1660474 5826.7066
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 694 1.6316065 2665.0031 12.211630 2000-2010 –> 2011-2019 3.1138550 5780.3759
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 694 1.7143971 2733.7040 12.251131 2000-2010 –> 2011-2019 3.2802658 5942.9226
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 694 1.7544181 2763.7331 12.079439 2000-2010 –> 2011-2019 3.3106087 5960.3500
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 694 1.6620995 2690.7039 11.431222 2000-2010 –> 2011-2019 3.1220347 5780.1392
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 694 1.7975783 2797.4659 12.231706 2000-2010 –> 2011-2019 3.4052003 6049.6837
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 694 1.7904740 2791.9695 12.173489 2000-2010 –> 2011-2019 3.3918798 6037.5623
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 821 3.2786837 4289.6769 36.472022 1982-1999 –> 2000-2010 6.1956458 10951.5708
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 821 3.2700339 4287.3392 34.820621 1982-1999 –> 2000-2010 6.1476320 10914.9293
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 821 3.2604694 4282.5295 30.069446 1982-1999 –> 2000-2010 5.9904767 10769.4343
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 821 3.2505442 4279.5235 28.085684 1982-1999 –> 2000-2010 5.9804223 10768.3018
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 821 3.5234695 4413.9077 37.736167 1982-1999 –> 2000-2010 6.2002841 10852.2361
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 821 3.4909189 4398.6680 28.118831 1982-1999 –> 2000-2010 6.1723368 10841.5875
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 821 2.7787270 4022.0095 21.688062 1982-1999 –> 2000-2010 5.5075796 10509.7838
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 821 2.7710095 4019.4427 22.369499 1982-1999 –> 2000-2010 5.4985065 10507.8894
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 821 2.9167858 4099.6289 21.501124 1982-1999 –> 2000-2010 5.8335914 10763.3794
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 821 2.9057458 4095.4022 21.303891 1982-1999 –> 2000-2010 5.7700012 10712.5740
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 731 3.4079754 3879.0732 31.539245 2000-2010 –> 2011-2019 6.6684448 8161.6028
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 731 3.3293057 3846.9288 30.295708 2000-2010 –> 2011-2019 6.5798499 8126.4523
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 731 3.2066529 3792.0510 29.600123 2000-2010 –> 2011-2019 6.7350575 8206.2569
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 731 3.2138865 3795.3453 29.864794 2000-2010 –> 2011-2019 6.8223584 8246.3953
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 731 3.1767650 3780.3604 29.776595 2000-2010 –> 2011-2019 6.7002345 8194.2681
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 731 3.1859881 3784.5989 30.116078 2000-2010 –> 2011-2019 6.6769069 8183.2668
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 731 3.3182390 3842.0610 30.060785 2000-2010 –> 2011-2019 6.0969660 7864.0704
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 731 3.3024698 3837.0966 29.835597 2000-2010 –> 2011-2019 6.0734793 7856.5393
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 731 3.6982911 3998.5953 22.983455 2000-2010 –> 2011-2019 6.6150769 8098.2242
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 731 3.6706108 3989.6117 24.150702 2000-2010 –> 2011-2019 6.5763566 8085.0139
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1016 4.2636810 5843.9531 28.672428 1982-1999 –> 2000-2010 7.8410451 14886.7822
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 1016 4.3926226 5902.4936 32.028094 1982-1999 –> 2000-2010 8.0702305 15035.9596
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1016 4.1469753 5787.5577 23.838499 1982-1999 –> 2000-2010 8.0756663 15144.4023
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1016 4.0248192 5726.8024 22.748998 1982-1999 –> 2000-2010 7.7845496 14936.2964
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1016 4.0283329 5730.5756 25.261258 1982-1999 –> 2000-2010 7.5591570 14731.5105
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1016 3.8881618 5658.6101 25.578526 1982-1999 –> 2000-2010 7.2432840 14488.4484
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1016 4.3769920 5897.2501 32.109473 1982-1999 –> 2000-2010 8.0522471 15030.5708
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 1016 4.1596314 5791.7497 22.697412 1982-1999 –> 2000-2010 8.1903611 15232.5434
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1016 4.0819319 5755.4341 24.762955 1982-1999 –> 2000-2010 7.7245195 14858.8274
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1016 3.9731188 5700.5315 24.698690 1982-1999 –> 2000-2010 7.5049281 14700.4016
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 854 3.4748798 4564.9633 31.892494 2000-2010 –> 2011-2019 7.7385608 10408.9164
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 854 3.4800139 4565.4850 32.505692 2000-2010 –> 2011-2019 7.8726365 10467.9786
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 854 3.6684791 4657.5664 24.708219 2000-2010 –> 2011-2019 7.8154543 10445.1241
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 854 3.5528196 4602.8496 25.019726 2000-2010 –> 2011-2019 7.5776388 10329.6520
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 854 3.3416259 4500.1764 29.110121 2000-2010 –> 2011-2019 7.3699588 10230.7520
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 854 3.2378403 4446.2874 28.643555 2000-2010 –> 2011-2019 7.1260022 10104.8975
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 854 3.4325250 4544.0168 32.535136 2000-2010 –> 2011-2019 7.8095170 10441.2669
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 854 3.8115314 4720.9041 22.515294 2000-2010 –> 2011-2019 7.9711628 10512.6537
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 854 3.4790204 4566.9973 27.898454 2000-2010 –> 2011-2019 7.5609523 10322.4314
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 854 3.4333251 4544.4149 26.895103 2000-2010 –> 2011-2019 7.4064439 10244.9464
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 685 1.0206197 1985.9075 6.267908 1982-1999 –> 2000-2010 1.9129753 4808.3708
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 685 1.0134427 1976.2396 6.315317 1982-1999 –> 2000-2010 1.9073787 4802.5108
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 685 1.0226299 1988.6032 6.155488 1982-1999 –> 2000-2010 1.9251757 4835.5017
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 685 1.0133149 1978.0668 6.361234 1982-1999 –> 2000-2010 1.9025716 4795.0438
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 685 1.0223666 1990.2503 6.103805 1982-1999 –> 2000-2010 1.9235614 4835.9252
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 685 0.9872659 1940.3881 7.475364 1982-1999 –> 2000-2010 1.8579331 4709.9014
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 685 1.0254275 1992.3459 6.134655 1982-1999 –> 2000-2010 1.9238176 4829.3129
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 685 0.9847605 1938.9070 7.995805 1982-1999 –> 2000-2010 1.8158077 4610.1949
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 685 1.0285235 1996.4760 6.076160 1982-1999 –> 2000-2010 1.9316348 4844.7227
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 685 1.0592663 2036.8256 11.651813 1982-1999 –> 2000-2010 1.8985432 4727.3194
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 553 1.0491050 1636.3648 8.200998 2000-2010 –> 2011-2019 2.0697247 3622.2723
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 553 1.0473401 1634.5026 8.163322 2000-2010 –> 2011-2019 2.0607828 3610.7423
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 553 1.0595716 1647.3443 8.014321 2000-2010 –> 2011-2019 2.0822015 3635.9475
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 553 1.0468219 1635.9553 8.091711 2000-2010 –> 2011-2019 2.0601368 3614.0220
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 553 1.0566770 1646.3188 7.890158 2000-2010 –> 2011-2019 2.0790436 3636.5691
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 553 0.9977089 1580.8092 9.738588 2000-2010 –> 2011-2019 1.9849749 3521.1973
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 553 1.0560849 1643.6989 8.030883 2000-2010 –> 2011-2019 2.0815124 3636.0447
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 553 0.9944310 1579.1695 10.349543 2000-2010 –> 2011-2019 1.9791915 3518.0765
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 553 1.0622956 1650.1841 7.923383 2000-2010 –> 2011-2019 2.0934633 3650.1777
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 553 1.0589648 1646.7108 7.992699 2000-2010 –> 2011-2019 2.0874882 3643.1868
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 799 0.7583594 1839.4605 5.549422 1982-1999 –> 2000-2010 1.3878123 4329.5891
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate 799 0.7653993 1854.2262 5.571241 1982-1999 –> 2000-2010 1.4031780 4378.3885
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 799 0.7685365 1860.7628 5.495899 1982-1999 –> 2000-2010 1.4106983 4402.6639
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 799 0.7619589 1849.0272 5.433052 1982-1999 –> 2000-2010 1.3961546 4360.5983
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 799 0.7667903 1859.1278 5.376442 1982-1999 –> 2000-2010 1.4074913 4397.1304
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 799 0.7621446 1847.4166 5.461354 1982-1999 –> 2000-2010 1.3972776 4360.8127
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 799 0.7390979 1800.3487 6.374257 1982-1999 –> 2000-2010 1.3214133 4090.8748
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 799 0.7668026 1857.1533 5.385809 1982-1999 –> 2000-2010 1.4094957 4401.1965
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 799 0.7645387 1852.4286 5.426849 1982-1999 –> 2000-2010 1.4040458 4383.6002
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 799 0.8001503 1925.1805 9.633101 1982-1999 –> 2000-2010 1.3889400 4242.3443
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 634 0.8400290 1590.1777 6.642030 2000-2010 –> 2011-2019 1.6131814 3458.5096
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 634 0.8391551 1590.8579 6.641684 2000-2010 –> 2011-2019 1.5975145 3430.3184
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate 634 0.8461493 1601.3827 6.513407 2000-2010 –> 2011-2019 1.6115486 3455.6089
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 634 0.8455755 1602.5226 6.455337 2000-2010 –> 2011-2019 1.6075344 3451.5497
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 634 0.8533138 1614.0738 6.406852 2000-2010 –> 2011-2019 1.6201041 3473.2017
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 634 0.8461577 1599.3952 6.509731 2000-2010 –> 2011-2019 1.6192267 3467.5547
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 634 0.8219930 1564.6565 7.412129 2000-2010 –> 2011-2019 1.5949821 3434.6506
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 634 0.8459641 1601.1051 6.509277 2000-2010 –> 2011-2019 1.6081087 3448.5217
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 634 0.7779752 1496.8692 8.811946 2000-2010 –> 2011-2019 1.5170732 3297.2179
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 634 0.8493358 1606.1488 6.477905 2000-2010 –> 2011-2019 1.6138745 3458.5775
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1294 0.5678560 2221.6965 2.071154 1982-1999 –> 2000-2010 1.1099740 5823.7503
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1294 0.5407499 2095.1145 2.009350 1982-1999 –> 2000-2010 1.0584487 5492.1606
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 1294 0.5750475 2252.2655 2.075104 1982-1999 –> 2000-2010 1.1036552 5740.0656
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1294 0.5748021 2253.1609 2.043598 1982-1999 –> 2000-2010 1.1007801 5720.7783
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1294 0.5750401 2254.2324 2.069745 1982-1999 –> 2000-2010 1.0998903 5712.3019
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 1294 0.5596162 2183.8685 2.017342 1982-1999 –> 2000-2010 1.0879110 5671.0343
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1294 0.5448011 2116.4311 2.024768 1982-1999 –> 2000-2010 1.0639201 5527.6623
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1294 0.5405269 2096.0474 2.011345 1982-1999 –> 2000-2010 1.0570135 5484.6656
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1294 0.5519652 2148.2414 2.241449 1982-1999 –> 2000-2010 1.1024832 5818.6887
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1294 0.5486132 2132.4772 2.245858 1982-1999 –> 2000-2010 1.0986624 5799.1345
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate 1065 0.7573935 2442.4709 5.317392 2000-2010 –> 2011-2019 1.3684668 4851.9946
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 1065 0.7329106 2372.4808 5.199994 2000-2010 –> 2011-2019 1.3238622 4695.3509
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1065 0.7510304 2426.5005 5.859126 2000-2010 –> 2011-2019 1.3188864 4648.1970
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1065 0.7275030 2358.7071 5.749767 2000-2010 –> 2011-2019 1.2682529 4453.8215
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 1065 0.7564315 2439.7639 6.505234 2000-2010 –> 2011-2019 1.3314790 4692.0294
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1065 0.7347123 2379.7105 5.368592 2000-2010 –> 2011-2019 1.3095143 4632.8714
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1065 0.7316118 2370.7029 5.312591 2000-2010 –> 2011-2019 1.3066519 4624.9353
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 1065 0.7485403 2419.4265 5.592094 2000-2010 –> 2011-2019 1.3081565 4603.2951
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1065 0.7318500 2373.3963 5.729827 2000-2010 –> 2011-2019 1.2766511 4489.8274
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1065 0.7274766 2360.6297 5.755816 2000-2010 –> 2011-2019 1.2680036 4456.6770
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 2283 0.3447431 1628.2851 1.974082 1982-1999 –> 2000-2010 0.6469485 3290.1237
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 2283 0.3493314 1688.6551 1.914590 1982-1999 –> 2000-2010 0.6512820 3344.2324
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2283 0.3199078 1288.9011 2.091020 1982-1999 –> 2000-2010 0.6196194 2891.2384
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2283 0.3412651 1583.9865 1.874295 1982-1999 –> 2000-2010 0.6403524 3170.8483
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 2283 0.3539101 1748.1123 1.950161 1982-1999 –> 2000-2010 0.6579708 3455.3754
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2283 0.3425291 1600.8675 2.100657 1982-1999 –> 2000-2010 0.6442932 3253.8589
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2283 0.3427171 1603.3721 2.098793 1982-1999 –> 2000-2010 0.6446623 3260.8165
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 2283 0.3533407 1742.7606 1.977197 1982-1999 –> 2000-2010 0.6571836 3446.7062
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2283 0.3198549 1290.1448 2.081634 1982-1999 –> 2000-2010 0.6173578 2839.5852
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2283 0.3208285 1304.0229 2.080167 1982-1999 –> 2000-2010 0.6191241 2873.2107
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 1967 0.3854316 1843.4614 2.480566 2000-2010 –> 2011-2019 0.7301746 3471.7466
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 1967 0.3962301 1952.1633 2.371006 2000-2010 –> 2011-2019 0.7455615 3640.8184
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 1967 0.4077495 2064.9043 2.421900 2000-2010 –> 2011-2019 0.7613899 3809.5359
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1967 0.3521766 1490.4928 2.638659 2000-2010 –> 2011-2019 0.6720844 2779.3939
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1967 0.3876841 1868.3856 2.430333 2000-2010 –> 2011-2019 0.7289492 3452.3721
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1967 0.3803764 1793.5233 2.626865 2000-2010 –> 2011-2019 0.7229055 3394.3908
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1967 0.3806815 1796.6774 2.626562 2000-2010 –> 2011-2019 0.7233986 3400.0496
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 1967 0.4053829 2044.0044 2.521962 2000-2010 –> 2011-2019 0.7587236 3786.7649
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1967 0.3520320 1490.8778 2.660211 2000-2010 –> 2011-2019 0.6718869 2781.0226
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1967 0.3536761 1509.2082 2.659155 2000-2010 –> 2011-2019 0.6745046 2813.2311
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 4484 6.2624515 29189.4800 30.122873 1982-1999 –> 2000-2010 12.7919928 76607.3094
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4484 6.2211537 29132.1445 29.691492 1982-1999 –> 2000-2010 12.7000049 76439.8570
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4484 5.9916213 28795.0076 34.258865 1982-1999 –> 2000-2010 12.3083325 75738.1137
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4484 6.0398752 28866.9426 34.469223 1982-1999 –> 2000-2010 12.4032460 75915.9231
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 4484 5.9561298 28743.7275 33.809292 1982-1999 –> 2000-2010 12.2147625 75555.9508
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4484 6.0012713 28811.4397 33.990931 1982-1999 –> 2000-2010 12.3012086 75718.2933
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 4484 6.3889673 29368.8483 30.481659 1982-1999 –> 2000-2010 13.0371300 77045.6809
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4484 6.2591071 29186.6894 30.027801 1982-1999 –> 2000-2010 12.7871773 76603.2774
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 4484 6.3420340 29304.7262 30.021698 1982-1999 –> 2000-2010 12.9292694 76851.1099
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4484 6.2188848 29130.8733 29.618527 1982-1999 –> 2000-2010 12.6972292 76439.4603
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 3620 5.9822711 23236.0290 24.783697 2000-2010 –> 2011-2019 12.2447226 52425.5090
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3620 5.9125324 23153.1324 24.045503 2000-2010 –> 2011-2019 12.1336861 52285.2770
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3620 5.8088990 23025.1061 27.193679 2000-2010 –> 2011-2019 11.8005203 51820.1138
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3620 5.8621369 23091.1578 27.523140 2000-2010 –> 2011-2019 11.9020121 51958.1004
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3620 5.7391205 22939.6103 26.439667 2000-2010 –> 2011-2019 11.6952504 51683.3378
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 3620 5.7878826 23000.8647 26.672196 2000-2010 –> 2011-2019 11.7891540 51812.3043
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3620 5.9797590 23234.9881 24.642158 2000-2010 –> 2011-2019 12.2388660 52421.6774
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 3620 6.0277690 23292.8841 24.806313 2000-2010 –> 2011-2019 12.3698030 52597.6103
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3620 5.9108991 23153.1321 23.936223 2000-2010 –> 2011-2019 12.1297839 52284.0054
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3620 5.9986175 23257.7852 27.160013 2000-2010 –> 2011-2019 12.4000756 52646.1492
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4649 4.4408878 27069.2538 44.888541 1982-1999 –> 2000-2010 8.6872605 71273.0705
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4649 4.6761452 27549.2147 52.036002 1982-1999 –> 2000-2010 9.1029915 72395.0134
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 4649 4.2773710 26722.4325 48.850820 1982-1999 –> 2000-2010 8.3303977 70209.4723
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4649 4.3516960 26882.6099 47.062155 1982-1999 –> 2000-2010 8.4499971 70540.9886
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4649 4.4995259 27191.2224 40.345335 1982-1999 –> 2000-2010 8.7936745 71567.6053
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4649 4.4342606 27057.3680 44.050454 1982-1999 –> 2000-2010 8.6774086 71251.4669
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4649 4.5778596 27351.7015 38.565845 1982-1999 –> 2000-2010 8.9253495 71918.4988
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4649 4.5868193 27369.8816 39.298599 1982-1999 –> 2000-2010 8.9454176 71976.0391
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4649 4.6129268 27422.6544 47.835124 1982-1999 –> 2000-2010 9.0264927 72222.1122
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4649 4.6481645 27493.4109 49.192612 1982-1999 –> 2000-2010 9.0598064 72286.1436
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3794 4.6050429 22368.9348 44.026694 2000-2010 –> 2011-2019 9.0459307 49438.1886
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3794 4.9310553 22887.9619 49.908336 2000-2010 –> 2011-2019 9.6072005 50437.1766
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3794 4.4652676 22137.0512 47.335248 2000-2010 –> 2011-2019 8.7426386 48859.4837
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 3794 4.5255659 22238.8326 46.299783 2000-2010 –> 2011-2019 8.8772619 49121.4425
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3794 4.6771774 22486.8738 39.562516 2000-2010 –> 2011-2019 9.1767032 49678.0962
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3794 4.6049614 22370.8006 43.868297 2000-2010 –> 2011-2019 9.0392220 49428.1686
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3794 4.7445953 22595.4682 38.305682 2000-2010 –> 2011-2019 9.3224549 49947.1697
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3794 4.7488221 22602.2251 38.224860 2000-2010 –> 2011-2019 9.3356414 49972.1067
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3794 4.7447832 22595.7687 47.921113 2000-2010 –> 2011-2019 9.3577100 50018.4231
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3794 4.7582837 22617.3285 47.149314 2000-2010 –> 2011-2019 9.4064482 50110.7394
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3848 3.8807513 21370.1483 19.849239 1982-1999 –> 2000-2010 7.6381460 55875.8951
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3848 3.9181405 21443.9408 27.158456 1982-1999 –> 2000-2010 7.7571457 56219.9137
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3848 3.9678627 21540.9904 28.741418 1982-1999 –> 2000-2010 7.8542316 56471.1706
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3848 3.8180636 21246.8160 26.420073 1982-1999 –> 2000-2010 7.5871327 55793.5766
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 3848 3.8768606 21364.4287 27.008318 1982-1999 –> 2000-2010 7.6979556 56083.5934
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3848 3.9872823 21578.5646 20.712773 1982-1999 –> 2000-2010 7.8396609 56398.2706
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3848 3.8477739 21306.4706 23.601032 1982-1999 –> 2000-2010 7.5931982 55774.0887
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3848 3.8771221 21362.9479 26.863193 1982-1999 –> 2000-2010 7.7617139 56287.3761
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3848 3.8986362 21405.5349 27.745528 1982-1999 –> 2000-2010 7.8278615 56473.6360
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3848 3.9017846 21411.7473 20.726166 1982-1999 –> 2000-2010 7.7789766 56312.1967
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3143 4.2668415 18053.6406 24.765936 2000-2010 –> 2011-2019 8.1475928 39423.7890
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3143 4.2890640 18086.2944 32.349357 2000-2010 –> 2011-2019 8.2072046 39530.2352
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3143 4.1876463 17937.8724 31.960024 2000-2010 –> 2011-2019 8.0057099 39184.6883
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 3143 4.2509181 18032.1382 31.937378 2000-2010 –> 2011-2019 8.1277787 39396.5668
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3143 4.1878087 17938.1161 23.317388 2000-2010 –> 2011-2019 8.0355825 39244.5867
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3143 4.2658661 18052.2036 34.681314 2000-2010 –> 2011-2019 8.1429883 39415.1515
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3143 4.2597936 18043.2490 31.723733 2000-2010 –> 2011-2019 8.1584298 39448.7838
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3143 4.3240503 18137.3618 31.696967 2000-2010 –> 2011-2019 8.2901199 39674.8738
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3143 4.2646943 18050.4766 22.795115 2000-2010 –> 2011-2019 8.1664789 39462.2239
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3143 4.3368573 18153.9523 34.262429 2000-2010 –> 2011-2019 8.3032675 39690.1250
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4467 4.4742662 26074.9876 18.384173 1982-1999 –> 2000-2010 8.4712504 68328.0451
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4467 4.2513273 25618.3608 21.539668 1982-1999 –> 2000-2010 7.9391344 66658.8047
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4467 4.2322670 25580.2163 20.575508 1982-1999 –> 2000-2010 7.9061647 66565.7433
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4467 4.4339194 25996.0596 22.913257 1982-1999 –> 2000-2010 8.3322108 67874.5402
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 4467 4.3707398 25869.8420 21.303445 1982-1999 –> 2000-2010 8.2242729 67576.3876
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4467 4.1126971 25324.1791 22.297943 1982-1999 –> 2000-2010 7.6996435 65948.9427
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4467 4.5013086 26130.8219 20.246782 1982-1999 –> 2000-2010 8.4499205 68202.4841
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4467 4.0799789 25254.8211 20.746922 1982-1999 –> 2000-2010 7.6435338 65783.0397
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4467 4.1568978 25417.6838 22.680123 1982-1999 –> 2000-2010 7.8370935 66427.0089
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4467 4.1192889 25338.4869 20.988542 1982-1999 –> 2000-2010 7.7717526 66235.8830
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 3755 4.9182222 22629.2613 20.340888 2000-2010 –> 2011-2019 9.4120674 48741.2579
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3755 4.9077345 22615.2297 19.517122 2000-2010 –> 2011-2019 9.3820007 48690.2172
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 3755 4.6853329 22266.9500 21.537757 2000-2010 –> 2011-2019 8.9366602 47885.3108
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3755 4.6745542 22251.6532 20.722111 2000-2010 –> 2011-2019 8.9068212 47831.8695
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3755 4.8459198 22522.0378 24.325866 2000-2010 –> 2011-2019 9.2798392 48518.0974
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 3755 4.7892685 22435.7248 22.784679 2000-2010 –> 2011-2019 9.1600083 48305.5667
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3755 4.5487551 22046.7788 18.911901 2000-2010 –> 2011-2019 8.6614522 47370.9579
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 3755 4.5279268 22014.3124 17.684915 2000-2010 –> 2011-2019 8.6079057 47269.1335
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 3755 4.5848207 22104.0884 17.762636 2000-2010 –> 2011-2019 8.7417185 47521.7721
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3755 4.5607657 22066.5823 16.916459 2000-2010 –> 2011-2019 8.6800546 47405.0692
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5542 4.3330765 31993.7377 42.631683 1982-1999 –> 2000-2010 7.8988114 79556.2541
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 5542 3.9661230 31014.9284 50.639219 1982-1999 –> 2000-2010 7.1948471 76824.7146
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 5542 4.0972013 31375.3257 51.085592 1982-1999 –> 2000-2010 7.4384050 77790.3415
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5542 4.2477269 31773.2350 48.646147 1982-1999 –> 2000-2010 7.7608174 79072.8670
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 5542 3.8900064 30800.1399 34.064114 1982-1999 –> 2000-2010 7.1391055 76721.1083
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5542 4.5276898 32480.7027 73.160412 1982-1999 –> 2000-2010 7.9681717 79411.2205
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5542 3.9743416 31035.8729 49.363075 1982-1999 –> 2000-2010 7.2342479 77013.5312
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5542 4.1023515 31387.2497 50.065974 1982-1999 –> 2000-2010 7.4690045 77934.3751
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 5542 4.3171626 31950.9551 46.277928 1982-1999 –> 2000-2010 7.9252312 79720.0678
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5542 3.9178231 30877.1176 31.968831 1982-1999 –> 2000-2010 7.2206538 77085.9772
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4394 4.8924031 26436.1954 27.712093 2000-2010 –> 2011-2019 9.2156904 58404.8642
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4394 5.0220198 26665.9892 33.949988 2000-2010 –> 2011-2019 9.3550963 58659.7269
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 4394 4.7465641 26172.2476 37.258204 2000-2010 –> 2011-2019 8.7126870 57187.1760
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4394 4.8756280 26408.0113 36.980271 2000-2010 –> 2011-2019 8.9728293 57783.3370
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4394 4.9774227 26587.6004 42.630724 2000-2010 –> 2011-2019 9.2251496 58360.8354
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4394 4.3875930 25481.1574 27.680539 2000-2010 –> 2011-2019 8.2775994 56281.2973
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4394 4.7471664 26171.3626 36.980640 2000-2010 –> 2011-2019 8.7215079 57207.2355
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4394 4.8756983 26406.1379 36.885352 2000-2010 –> 2011-2019 8.9780498 57793.3876
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4394 5.0361214 26688.6309 40.506889 2000-2010 –> 2011-2019 9.3532840 58639.5860
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4394 4.4115113 25526.9337 26.045742 2000-2010 –> 2011-2019 8.3293344 56404.0513
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate 4967 3.5872200 26797.2039 34.197424 1982-1999 –> 2000-2010 6.6584976 66916.8555
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4967 3.4339049 26365.2920 30.814849 1982-1999 –> 2000-2010 6.3895758 65881.3438
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4967 3.4111729 26299.3116 32.135867 1982-1999 –> 2000-2010 6.3325585 65631.2012
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 4967 3.3839159 26221.6152 31.981327 1982-1999 –> 2000-2010 6.2820406 65429.3251
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4967 3.4108136 26300.2653 32.030909 1982-1999 –> 2000-2010 6.3296947 65620.6172
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4967 3.6185847 26885.6838 32.570873 1982-1999 –> 2000-2010 6.6573141 66839.1703
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4967 3.2358790 25777.2375 32.650527 1982-1999 –> 2000-2010 6.0720783 64644.0291
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4967 3.6279664 26911.4056 32.748030 1982-1999 –> 2000-2010 6.6810851 66939.4580
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4967 3.5643044 26735.5406 32.669587 1982-1999 –> 2000-2010 6.6182670 66767.9548
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4967 3.3185383 26025.8109 33.178319 1982-1999 –> 2000-2010 6.2428316 65373.4031
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4007 3.9338686 22361.5347 29.569981 2000-2010 –> 2011-2019 7.3677735 48726.8267
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4007 3.8895971 22270.8344 30.979101 2000-2010 –> 2011-2019 7.3007701 48570.1460
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 4007 3.8608244 22213.3316 31.233376 2000-2010 –> 2011-2019 7.2447403 48434.9468
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4007 3.8881328 22269.8168 31.299613 2000-2010 –> 2011-2019 7.2989465 48570.0821
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4007 4.1279982 22747.5632 32.817180 2000-2010 –> 2011-2019 7.7465829 49633.2470
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4007 3.6547263 21773.6873 32.904963 2000-2010 –> 2011-2019 6.8906052 47550.9248
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4007 3.9703092 22435.4290 34.843380 2000-2010 –> 2011-2019 7.5574539 49234.4242
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4007 4.1310397 22753.4657 33.047281 2000-2010 –> 2011-2019 7.7590060 49664.8713
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4007 4.1348460 22760.8463 30.987483 2000-2010 –> 2011-2019 7.6991504 49496.3869
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4007 3.7690403 22018.5122 33.027470 2000-2010 –> 2011-2019 7.0875786 48044.3231
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4934 3.1622396 25376.9216 23.467655 1982-1999 –> 2000-2010 5.4762007 61991.4701
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4934 3.1334691 25286.7303 9.803062 1982-1999 –> 2000-2010 5.4770265 62107.2946
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 4934 3.0424711 24997.9133 11.974688 1982-1999 –> 2000-2010 5.3289315 61420.6571
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4934 3.0503920 25023.5708 11.443159 1982-1999 –> 2000-2010 5.3502821 61541.2469
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4934 3.0828298 25125.9529 8.765155 1982-1999 –> 2000-2010 5.3983667 61751.5363
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4934 2.9260701 24612.9649 11.460957 1982-1999 –> 2000-2010 5.1417783 60526.1816
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4934 3.0902838 25149.7841 8.611326 1982-1999 –> 2000-2010 5.4191658 61868.5222
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4934 3.0424732 24995.9201 11.915131 1982-1999 –> 2000-2010 5.4129250 62001.4499
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 4934 3.0879761 25140.4122 11.505792 1982-1999 –> 2000-2010 5.4637730 62180.4525
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4934 3.0800309 25116.9897 8.518345 1982-1999 –> 2000-2010 5.4030604 61794.9408
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 4006 3.6981489 21860.8886 10.605478 2000-2010 –> 2011-2019 6.8159488 47098.1491
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 4006 3.6813931 21826.5049 9.995845 2000-2010 –> 2011-2019 6.7238641 46824.4182
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 4006 3.6853119 21835.0292 9.999094 2000-2010 –> 2011-2019 6.7357039 46858.6000
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 4006 3.7503324 21971.1534 10.252759 2000-2010 –> 2011-2019 6.8939189 47287.6945
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4006 3.7377074 21946.1367 10.264831 2000-2010 –> 2011-2019 6.8205372 47072.0895
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 4006 3.5124863 21450.2044 14.649576 2000-2010 –> 2011-2019 6.4385564 46063.1693
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4006 3.7412401 21953.7057 10.268877 2000-2010 –> 2011-2019 6.8315240 47103.4898
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4006 3.7236486 21915.9440 16.982757 2000-2010 –> 2011-2019 6.7661218 46911.8641
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 4006 3.8213676 22121.4897 16.510293 2000-2010 –> 2011-2019 6.9093437 47261.9019
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4006 3.7267894 21922.6991 10.246992 2000-2010 –> 2011-2019 6.8068203 47039.6888
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1933 2.6958504 9331.5815 20.445281 1982-1999 –> 2000-2010 4.6277393 22352.4905
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1933 2.6952714 9332.7511 20.622527 1982-1999 –> 2000-2010 4.6169952 22322.6241
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1933 2.6983676 9339.1897 21.015621 1982-1999 –> 2000-2010 4.6182166 22324.9506
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1933 2.6943945 9333.4932 20.872806 1982-1999 –> 2000-2010 4.6193950 22336.0342
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1933 2.7104410 9354.4489 23.282924 1982-1999 –> 2000-2010 4.6332083 22347.7213
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1933 2.7039163 9345.1312 20.407470 1982-1999 –> 2000-2010 4.6374172 22373.2633
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1933 2.6005884 9196.4984 21.039963 1982-1999 –> 2000-2010 4.4852326 22066.3654
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1933 2.6997184 9339.1244 20.794219 1982-1999 –> 2000-2010 4.6317950 22362.6419
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1933 2.6957403 9333.4236 20.654923 1982-1999 –> 2000-2010 4.6321579 22370.9948
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1933 2.6092118 9207.2966 20.356568 1982-1999 –> 2000-2010 4.5167940 22150.9186
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1648 3.1007702 8420.7415 30.298833 2000-2010 –> 2011-2019 5.7973354 17755.3480
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1648 3.1316820 8453.4369 29.493657 2000-2010 –> 2011-2019 5.8269534 17786.1880
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1648 3.1100170 8428.5559 28.314959 2000-2010 –> 2011-2019 5.8075401 17762.5355
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1648 3.1052701 8427.5213 31.132010 2000-2010 –> 2011-2019 5.8036377 17766.7110
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1648 3.0998225 8421.7340 30.826177 2000-2010 –> 2011-2019 5.7942170 17755.2272
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1648 3.0161485 8329.5417 33.130623 2000-2010 –> 2011-2019 5.7265895 17683.9906
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1648 2.9575231 8266.8460 30.263335 2000-2010 –> 2011-2019 5.5581115 17463.3444
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1648 3.1096461 8430.1628 28.596490 2000-2010 –> 2011-2019 5.8049178 17762.9144
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 1648 3.0782123 8394.6758 30.602797 2000-2010 –> 2011-2019 5.7911352 17750.6629
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1648 3.0255771 8339.8291 27.765869 2000-2010 –> 2011-2019 5.6347889 17547.1257
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2403 2.7855930 11756.9772 26.068522 1982-1999 –> 2000-2010 4.9033169 29168.6060
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2403 2.7867545 11758.9806 26.097772 1982-1999 –> 2000-2010 4.9071284 29180.6390
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2403 2.7796383 11748.6924 25.543751 1982-1999 –> 2000-2010 4.8957456 29156.1967
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2403 2.7807681 11750.6454 25.568414 1982-1999 –> 2000-2010 4.8997489 29169.0328
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2403 2.8162322 11809.5506 29.417566 1982-1999 –> 2000-2010 4.9366796 29231.4868
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate 2403 2.7857819 11755.3030 26.000377 1982-1999 –> 2000-2010 4.9043485 29168.1226
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 2403 2.7869568 11757.3295 26.027700 1982-1999 –> 2000-2010 4.9083498 29180.8413
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2403 2.7796853 11746.7737 25.588682 1982-1999 –> 2000-2010 4.8973326 29158.1125
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2403 2.7808081 11748.7146 25.609707 1982-1999 –> 2000-2010 4.9014816 29171.5062
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2403 2.8173376 11809.4365 29.735866 1982-1999 –> 2000-2010 4.9392148 29234.7791
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 2046 3.1136066 10465.9154 35.979488 2000-2010 –> 2011-2019 5.9041975 22229.5075
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2046 3.1080480 10460.6035 36.103367 2000-2010 –> 2011-2019 5.8936410 22217.5806
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2046 3.1060514 10457.9739 36.116272 2000-2010 –> 2011-2019 5.8928059 22216.9546
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 2046 3.1068573 10459.0355 35.539152 2000-2010 –> 2011-2019 5.8924807 22216.0651
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2046 3.1015471 10454.0356 35.668589 2000-2010 –> 2011-2019 5.8811854 22202.7281
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2046 3.0998060 10451.7378 35.688206 2000-2010 –> 2011-2019 5.8805741 22202.3832
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2046 3.1085357 10461.2456 36.994049 2000-2010 –> 2011-2019 5.8902582 22211.5402
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2046 3.1131815 10467.3566 34.799642 2000-2010 –> 2011-2019 5.8928668 22214.1302
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2046 3.1112502 10464.8172 34.828329 2000-2010 –> 2011-2019 5.8920583 22213.5318
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate 2046 3.1194020 10473.5248 36.081078 2000-2010 –> 2011-2019 5.9012443 22222.0264
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2062 2.1759231 9071.9187 8.437911 1982-1999 –> 2000-2010 4.0666418 23653.9946
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2062 2.1496313 9021.7846 8.545390 1982-1999 –> 2000-2010 4.0380507 23595.2380
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 2062 2.1197507 8966.0574 8.060696 1982-1999 –> 2000-2010 4.0060964 23533.7254
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 2062 2.1193270 8965.2331 8.054333 1982-1999 –> 2000-2010 4.0059696 23534.0160
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2062 2.1838377 9086.8919 8.487526 1982-1999 –> 2000-2010 4.0802908 23690.4263
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 2062 2.1332954 8992.3249 8.079986 1982-1999 –> 2000-2010 3.9954586 23468.5648
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2062 2.1844765 9088.0981 8.480589 1982-1999 –> 2000-2010 4.0824137 23697.1755
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2062 2.1817707 9082.9867 8.737832 1982-1999 –> 2000-2010 4.0774210 23683.5209
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2062 2.1845834 9088.2999 8.489369 1982-1999 –> 2000-2010 4.0824444 23697.0932
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2062 2.1521797 9026.6708 7.877935 1982-1999 –> 2000-2010 4.0278393 23552.0825
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 1759 2.4104487 8099.0076 8.219622 2000-2010 –> 2011-2019 4.5903149 17176.3927
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1759 2.4042735 8091.9835 8.383840 2000-2010 –> 2011-2019 4.5650409 17135.0772
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1759 2.3983003 8083.2324 8.558099 2000-2010 –> 2011-2019 4.5501696 17109.3083
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1759 2.3975788 8082.1740 8.580517 2000-2010 –> 2011-2019 4.5497570 17108.8418
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1759 2.3871817 8068.8849 8.352456 2000-2010 –> 2011-2019 4.5069323 17034.9423
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1759 2.3859228 8067.0292 8.364228 2000-2010 –> 2011-2019 4.5052498 17032.2622
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1759 2.4006885 8088.7338 8.819219 2000-2010 –> 2011-2019 4.5339838 17081.0588
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate 1759 2.4059200 8092.3918 7.964549 2000-2010 –> 2011-2019 4.5981731 17193.1450
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1759 2.3946492 8077.8727 8.143931 2000-2010 –> 2011-2019 4.5513962 17113.2860
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1759 2.4261389 8123.8329 8.758843 2000-2010 –> 2011-2019 4.5783186 17150.5037
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1460 1.8501241 5953.8384 9.254259 1982-1999 –> 2000-2010 3.4465693 15605.1936
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1460 1.8496302 5955.0589 9.603963 1982-1999 –> 2000-2010 3.4300210 15556.7863
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1460 1.8518784 5958.6060 9.571228 1982-1999 –> 2000-2010 3.4359319 15572.1577
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1460 1.8556476 5962.5431 9.260791 1982-1999 –> 2000-2010 3.4546122 15621.9530
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1460 1.7826535 5847.3612 8.645782 1982-1999 –> 2000-2010 3.3259539 15327.7792
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1460 1.8568825 5964.4856 9.259867 1982-1999 –> 2000-2010 3.4575104 15629.2063
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1460 1.8623385 5973.0527 9.204749 1982-1999 –> 2000-2010 3.4693071 15657.9683
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1460 1.8564792 5963.8513 9.254406 1982-1999 –> 2000-2010 3.4568134 15627.6346
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1460 1.8619392 5972.4266 10.079724 1982-1999 –> 2000-2010 3.4653151 15645.9093
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1460 1.8167075 5900.6159 9.108315 1982-1999 –> 2000-2010 3.4433166 15647.5833
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1224 2.0058896 5191.5841 9.838746 2000-2010 –> 2011-2019 3.8560137 11145.4226
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 1224 2.0127568 5201.9505 9.882535 2000-2010 –> 2011-2019 3.8623870 11157.0094
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 1224 2.0132641 5202.5675 9.848121 2000-2010 –> 2011-2019 3.8651425 11161.1734
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1224 2.0127873 5199.9877 9.856086 2000-2010 –> 2011-2019 3.8684349 11162.5308
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 1224 1.9128626 5077.3364 9.068936 2000-2010 –> 2011-2019 3.6955160 10924.6976
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1224 2.0132650 5200.5686 9.852645 2000-2010 –> 2011-2019 3.8701475 11165.0542
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1224 2.0127586 5199.9527 9.884010 2000-2010 –> 2011-2019 3.8806423 11181.6869
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1224 2.0142541 5201.7710 9.716933 2000-2010 –> 2011-2019 3.8765926 11174.8237
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1224 2.0127877 5199.9881 9.847593 2000-2010 –> 2011-2019 3.8692669 11163.8394
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1224 1.9585274 5133.0896 9.225019 2000-2010 –> 2011-2019 3.7752349 11033.7055
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 12402 1.2282322 40308.4551 11.850106 1982-1999 –> 2000-2010 2.2882751 100402.1304
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 12402 1.2052053 39841.0163 13.368623 1982-1999 –> 2000-2010 2.2374435 98855.6824
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 12402 1.2080515 39899.5232 13.376370 1982-1999 –> 2000-2010 2.2422219 98990.2492
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 12402 1.3171702 42044.4974 16.044928 1982-1999 –> 2000-2010 2.4790821 105871.9474
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12402 1.3172069 42043.1879 16.058754 1982-1999 –> 2000-2010 2.4859655 106107.5875
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12402 1.3127128 41958.4169 16.331591 1982-1999 –> 2000-2010 2.4699209 105618.8855
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12402 1.3172070 42043.1904 16.058869 1982-1999 –> 2000-2010 2.4859527 106107.1382
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 12402 1.3172251 42041.5320 16.082995 1982-1999 –> 2000-2010 2.4868821 106135.1775
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 12402 1.3298277 42279.7163 13.016999 1982-1999 –> 2000-2010 2.4408696 104284.4253
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 12402 1.3461653 42582.5894 12.957947 1982-1999 –> 2000-2010 2.4720212 105125.9864
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 10029 1.4097690 35363.5053 9.620224 2000-2010 –> 2011-2019 2.6380012 75671.9604
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 10029 1.4904452 36479.7127 12.918817 2000-2010 –> 2011-2019 2.8079438 78528.3939
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate 10029 1.3920404 35111.6656 10.800071 2000-2010 –> 2011-2019 2.5972457 74952.6819
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star 10029 1.3949675 35153.7973 10.795615 2000-2010 –> 2011-2019 2.6030189 75053.3205
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 10029 1.4906503 36482.4724 12.903434 2000-2010 –> 2011-2019 2.8079776 78527.9293
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star 10029 1.4901364 36477.5565 12.960369 2000-2010 –> 2011-2019 2.8073066 78522.0538
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10029 1.4909426 36486.4057 12.886143 2000-2010 –> 2011-2019 2.8081495 78529.5936
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10029 1.4924906 36507.2198 13.301703 2000-2010 –> 2011-2019 2.8052034 78465.6367
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10029 1.4909359 36486.3154 12.885967 2000-2010 –> 2011-2019 2.8081429 78529.5058
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 10029 1.4930168 36512.2915 13.188130 2000-2010 –> 2011-2019 2.8102420 78553.8234

5.3.2 per fitting unit

lm_best %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab eras rmse_sum_mean ais_sum_mean
Atlantic (-Inf,26] 1982-1999 –> 2000-2010 2.3665318 1139.1327
Atlantic (-Inf,26] 2000-2010 –> 2011-2019 2.1703424 714.5864
Atlantic (26,26.5] 1982-1999 –> 2000-2010 6.8480050 12888.9268
Atlantic (26,26.5] 2000-2010 –> 2011-2019 6.8424774 8572.9289
Atlantic (26.5,26.75] 1982-1999 –> 2000-2010 6.2457427 15767.8647
Atlantic (26.5,26.75] 2000-2010 –> 2011-2019 6.6710395 10766.6075
Atlantic (26.75,27] 1982-1999 –> 2000-2010 3.7524738 20811.0618
Atlantic (26.75,27] 2000-2010 –> 2011-2019 4.4916035 16261.7780
Atlantic (27,27.25] 1982-1999 –> 2000-2010 3.4423059 16836.0449
Atlantic (27,27.25] 2000-2010 –> 2011-2019 4.0826225 13487.3176
Atlantic (27.25,27.5] 1982-1999 –> 2000-2010 4.2579680 19801.2350
Atlantic (27.25,27.5] 2000-2010 –> 2011-2019 5.1573264 14739.9914
Atlantic (27.5,27.75] 1982-1999 –> 2000-2010 4.4808840 27048.1326
Atlantic (27.5,27.75] 2000-2010 –> 2011-2019 5.1552808 20374.6585
Atlantic (27.75,27.85] 1982-1999 –> 2000-2010 3.1497651 8187.3457
Atlantic (27.75,27.85] 2000-2010 –> 2011-2019 3.2665414 5922.2232
Atlantic (27.85,27.95] 1982-1999 –> 2000-2010 5.9296476 10759.1687
Atlantic (27.85,27.95] 2000-2010 –> 2011-2019 6.5544731 8102.2090
Atlantic (27.95,28.05] 1982-1999 –> 2000-2010 7.8045988 14904.5743
Atlantic (27.95,28.05] 2000-2010 –> 2011-2019 7.6248327 10350.8619
Atlantic (28.05,28.1] 1982-1999 –> 2000-2010 1.8999399 4779.8804
Atlantic (28.05,28.1] 2000-2010 –> 2011-2019 2.0578520 3608.8236
Atlantic (28.1,28.15] 1982-1999 –> 2000-2010 1.3926507 4334.7199
Atlantic (28.1,28.15] 2000-2010 –> 2011-2019 1.6003148 3437.5711
Atlantic (28.15,28.2] 1982-1999 –> 2000-2010 1.0882739 5679.0242
Atlantic (28.15,28.2] 2000-2010 –> 2011-2019 1.3079925 4614.9000
Atlantic (28.2, Inf] 1982-1999 –> 2000-2010 0.6398794 3182.5996
Atlantic (28.2, Inf] 2000-2010 –> 2011-2019 0.7189579 3332.9326
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2010 12.6170353 76291.4976
Indo-Pacific (-Inf,26] 2000-2010 –> 2011-2019 12.0703874 52193.4085
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2010 8.7998796 71564.0411
Indo-Pacific (26,26.5] 2000-2010 –> 2011-2019 9.1911212 49701.0995
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2010 7.7336023 56168.9717
Indo-Pacific (26.5,26.75] 2000-2010 –> 2011-2019 8.1585153 39447.1024
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2010 8.0274977 66960.0879
Indo-Pacific (26.75,27] 2000-2010 –> 2011-2019 8.9768528 47953.9252
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2010 7.5249296 78113.0457
Indo-Pacific (27,27.25] 2000-2010 –> 2011-2019 8.9141228 57672.1497
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2010 6.4263943 66004.3358
Indo-Pacific (27.25,27.5] 2000-2010 –> 2011-2019 7.3952607 48792.6179
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2010 5.3871510 61718.3752
Indo-Pacific (27.5,27.75] 2000-2010 –> 2011-2019 6.7742339 46952.1065
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2010 4.6018951 22300.8005
Indo-Pacific (27.75,27.85] 2000-2010 –> 2011-2019 5.7545226 17703.4048
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2010 4.9093347 29181.9323
Indo-Pacific (27.85,27.95] 2000-2010 –> 2011-2019 5.8921312 22214.6448
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2010 4.0462626 23610.5837
Indo-Pacific (27.95,28.05] 2000-2010 –> 2011-2019 4.5529336 17113.4818
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2010 3.4385351 15589.2172
Indo-Pacific (28.05,28.1] 2000-2010 –> 2011-2019 3.8419378 11126.9944
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2010 2.4088635 103749.9210
Indo-Pacific (28.1, Inf] 2000-2010 –> 2011-2019 2.7493232 77533.4899

5.4 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.5 Plot selected model residuals

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

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

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

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

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

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

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

5.6 Cant coeffcients

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

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

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

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

5.7 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 3 - 6).

6.1.1 All models

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

Version Author Date
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

Version Author Date
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Version Author Date
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2010
(-Inf,26] 10 4 8 6 10 5 8
(26,26.5] 10 6 5 5 10 7 9
(26.5,26.75] 9 3 8 7 7 10 8
(26.75,27] 9 3 8 7 7 10 8
(27,27.25] 9 4 8 5 9 10 7
(27.25,27.5] 10 7 6 4 7 10 8
(27.5,27.75] 7 4 6 7 10 10 8
(27.75,27.85] 9 6 7 6 10 7 8
(27.85,27.95] 10 2 9 9 6 6 6
(27.95,28.05] 8 10 6 4 7 7 8
(28.05,28.1] 9 4 8 7 9 7 9
(28.1,28.15] 9 4 7 7 9 8 9
(28.15,28.2] 10 10 4 4 8 7 8
(28.2, Inf] 10 10 4 4 10 5 6
total 129.00 77.00 94.00 82.00 119.00 109.00 110.00
Atlantic - 2000-2010 --> 2011-2019
(-Inf,26] 9 5 6 6 10 8 9
(26,26.5] 10 6 5 5 10 7 9
(26.5,26.75] 9 4 8 6 8 10 8
(26.75,27] 10 3 8 6 8 10 6
(27,27.25] 9 4 7 6 10 10 6
(27.25,27.5] 10 10 3 4 6 10 6
(27.5,27.75] 8 4 7 6 10 10 7
(27.75,27.85] 9 6 7 5 10 8 7
(27.85,27.95] 10 4 8 8 8 5 8
(27.95,28.05] 8 10 6 4 7 7 8
(28.05,28.1] 9 4 7 7 10 7 9
(28.1,28.15] 9 3 9 6 10 6 8
(28.15,28.2] 10 10 4 4 10 5 6
(28.2, Inf] 10 10 4 4 10 6 5
total 130.00 83.00 89.00 77.00 127.00 109.00 102.00
Indo-Pacific - 1982-1999 --> 2000-2010
(-Inf,26] 10 4 8 6 10 5 8
(26,26.5] 9 5 7 6 8 9 9
(26.5,26.75] 9 6 7 6 8 8 9
(26.75,27] 10 2 10 7 7 6 7
(27,27.25] 9 5 7 8 6 8 9
(27.25,27.5] 9 6 8 5 7 10 7
(27.5,27.75] 7 4 7 6 10 10 8
(27.75,27.85] 10 4 8 7 6 9 8
(27.85,27.95] 8 10 4 6 5 6 10
(27.95,28.05] 8 4 6 7 9 10 9
(28.05,28.1] 8 4 7 7 8 10 9
(28.1, Inf] 7 6 5 7 8 10 9
total 104.00 60.00 84.00 78.00 92.00 101.00 102.00
Indo-Pacific - 2000-2010 --> 2011-2019
(-Inf,26] 9 5 7 7 10 6 8
(26,26.5] 9 5 7 6 8 9 9
(26.5,26.75] 8 7 6 7 6 9 9
(26.75,27] 10 2 10 8 6 5 6
(27,27.25] 10 5 8 7 6 8 8
(27.25,27.5] 8 6 8 5 8 10 8
(27.5,27.75] 7 4 6 4 10 10 10
(27.75,27.85] 8 5 6 9 8 8 7
(27.85,27.95] 8 10 5 3 7 7 10
(27.95,28.05] 8 8 6 6 9 6 8
(28.05,28.1] 7 4 7 7 9 10 9
(28.1, Inf] 7 4 6 7 10 10 8
total 99.00 65.00 82.00 76.00 97.00 98.00 100.00

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
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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

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

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

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

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

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