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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 86

4 Fit all models

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

  • cstar_tref

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

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[14]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      if (nrow(GLODAP_basin_era_slab) > 2) {
        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()
          
          # fit model
          if (params_local$MLR_type == "rlm") {
          i_lm_fit <- MASS::rlm(as.formula(i_lm),
                          data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
          i_lm_fit <- lm(as.formula(i_lm),
                          data = GLODAP_basin_era_slab)
        }
          
          # find max predictor correlation
          i_cor_max <- GLODAP_basin_era_slab %>%
            select(!!!syms(str_split(i_predictors, " ",
                                            simplify = TRUE))) %>%
            correlate(quiet = TRUE) %>%
            select(-term) %>%
            abs() %>%
            max(na.rm = TRUE)
          
          # calculate root mean squared error
          i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                           length(i_lm_fit$residuals))
          
          # calculate maximum residual
          i_resid_max <- max(abs(i_lm_fit$residuals))
          
          # calculate Akaike information criterion aic
          i_aic <- AIC(i_lm_fit)
          
          # collect model coefficients and diagnostics
          coefficients <- tidy(i_lm_fit)
          
          coefficients <- coefficients %>%
            mutate(
              basin = i_basin,
              era = i_era,
              gamma_slab = i_gamma_slab,
              model = i_lm,
              rmse = i_rmse,
              aic = i_aic,
              resid_max = i_resid_max,
              n_predictors = i_n_predictors,
              na_predictor = anyNA(coefficients$estimate),
              cor_max = i_cor_max
            )
          
          if (exists("lm_all_fitted")) {
            lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
          }
          
          if (!exists("lm_all_fitted")) {
            lm_all_fitted <- coefficients
          }
        }
        
        
      }
    }
  }
}

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.0492038 475.5626 4.357844 1990-1999 –> 2000-2012 2.1241770 812.6516
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0480832 477.2249 4.299021 1990-1999 –> 2000-2012 2.1148526 814.6439
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0458289 476.5445 4.199297 1990-1999 –> 2000-2012 2.1157019 814.5968
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 1.0547002 477.2137 4.547311 1990-1999 –> 2000-2012 2.1337115 815.1201
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0447877 476.2297 3.991338 1990-1999 –> 2000-2012 2.1182921 815.0207
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.0561323 477.6424 4.584654 1990-1999 –> 2000-2012 2.1360306 815.7280
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0538228 478.9507 4.496846 1990-1999 –> 2000-2012 2.1259581 817.4634
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0553928 479.4211 4.540758 1990-1999 –> 2000-2012 2.1289005 818.2128
Atlantic (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.0578357 478.1517 4.625106 1990-1999 –> 2000-2012 2.1394383 816.5810
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0571098 479.9348 4.580681 1990-1999 –> 2000-2012 2.1325483 819.1182
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.2725075 251.0296 3.658367 2000-2012 –> 2013-2019 2.3217113 726.5922
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.2417197 721.0407
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1377961 236.9166 2.786570 2000-2012 –> 2013-2019 2.1836250 713.4610
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.2083604 245.5812 2.691226 2000-2012 –> 2013-2019 2.2954998 734.3676
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 1.2744476 251.2490 3.774015 2000-2012 –> 2013-2019 2.3291478 728.4626
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2718853 252.9592 3.547879 2000-2012 –> 2013-2019 2.3166730 729.1889
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.2749024 251.3004 3.791809 2000-2012 –> 2013-2019 2.3310347 728.9428
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1990801 244.4710 3.379652 2000-2012 –> 2013-2019 2.2529029 723.4217
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2012446 244.7307 3.425080 2000-2012 –> 2013-2019 2.2566374 724.1518
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2024324 244.8730 3.445295 2000-2012 –> 2013-2019 2.2595421 724.8078
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5518213 5633.9468 13.477555 1990-1999 –> 2000-2012 7.0315738 10057.3449
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.4447540 5567.9148 15.626500 1990-1999 –> 2000-2012 6.9001046 9977.6733
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3758183 5527.6256 14.515788 1990-1999 –> 2000-2012 6.7541545 9902.1020
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.3139957 5488.9589 14.956164 1990-1999 –> 2000-2012 6.6514868 9843.3160
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate 3.9986306 5879.8309 18.100083 1990-1999 –> 2000-2012 8.0362246 10547.1586
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6117860 5668.9708 14.137864 1990-1999 –> 2000-2012 7.1789426 10133.4008
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6195773 5673.4788 14.246703 1990-1999 –> 2000-2012 7.1976560 10142.9653
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6517421 5691.9869 14.822106 1990-1999 –> 2000-2012 7.2966993 10192.1032
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6210378 5674.3227 14.283746 1990-1999 –> 2000-2012 7.2031480 10145.6718
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6850441 5708.9784 16.393830 1990-1999 –> 2000-2012 7.5211580 10291.6393
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6070302 3077.8676 10.902628 2000-2012 –> 2013-2019 7.1588515 8711.8144
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.3369968 2987.6271 10.231047 2000-2012 –> 2013-2019 6.7817508 8555.5419
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.2984682 2976.4579 9.956192 2000-2012 –> 2013-2019 6.6742865 8504.0835
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.1723161 2932.2362 9.432214 2000-2012 –> 2013-2019 6.4863118 8421.1950
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6470365 3090.3758 10.325180 2000-2012 –> 2013-2019 7.2588226 8759.3466
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6519756 3091.9105 10.331554 2000-2012 –> 2013-2019 7.2715530 8765.3893
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6275476 3084.2997 10.377524 2000-2012 –> 2013-2019 7.2792897 8776.2866
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate 3.8215670 3141.3853 10.902303 2000-2012 –> 2013-2019 7.8041218 9012.7888
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6516653 3091.8142 10.332889 2000-2012 –> 2013-2019 7.2727031 8766.1369
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6567064 3091.3786 10.259004 2000-2012 –> 2013-2019 7.3417505 8800.3570
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3429532 7348.4661 10.697715 1990-1999 –> 2000-2012 6.4744352 12860.3017
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.3316510 7339.0038 10.073920 1990-1999 –> 2000-2012 6.4753698 12859.2167
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2700730 7288.8799 10.507891 1990-1999 –> 2000-2012 6.3447449 12763.3896
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2846060 7301.2695 10.500101 1990-1999 –> 2000-2012 6.3798866 12790.1287
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3014232 7315.5384 10.543653 1990-1999 –> 2000-2012 6.4193243 12820.0381
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3059150 7319.3372 10.550809 1990-1999 –> 2000-2012 6.4306510 12828.5405
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3250708 7335.4800 10.297171 1990-1999 –> 2000-2012 6.4915308 12873.1754
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.4027533 7398.0044 10.818893 1990-1999 –> 2000-2012 6.6006069 12954.8911
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2249399 7250.0489 10.037456 1990-1999 –> 2000-2012 6.2253514 12672.0427
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.4336491 7423.2585 10.906572 1990-1999 –> 2000-2012 6.6663293 13003.4118
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.4323365 3491.6598 11.340269 2000-2012 –> 2013-2019 6.7752897 10840.1259
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.3850399 3473.4551 10.375376 2000-2012 –> 2013-2019 6.7166909 10812.4589
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3455096 3460.0435 10.735554 2000-2012 –> 2013-2019 6.6155826 10748.9234
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3565540 3464.3677 10.767824 2000-2012 –> 2013-2019 6.6411600 10765.6372
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3723676 3470.5343 10.887326 2000-2012 –> 2013-2019 6.6737908 10786.0727
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3762721 3472.0524 10.919163 2000-2012 –> 2013-2019 6.6821871 10791.3896
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4093443 3484.8416 9.603997 2000-2012 –> 2013-2019 6.7344151 10820.3216
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.4910702 3513.9207 11.381386 2000-2012 –> 2013-2019 6.8938235 10911.9252
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3238240 3451.5114 11.113656 2000-2012 –> 2013-2019 6.5487639 10701.5603
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.5219283 3525.4667 11.414557 2000-2012 –> 2013-2019 6.9555774 10948.7252
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.0935628 10360.8368 14.739529 1990-1999 –> 2000-2012 3.7671455 17102.8270
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.1776482 10549.6945 20.348896 1990-1999 –> 2000-2012 4.1062340 17785.2194
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0001820 10143.9994 14.081577 1990-1999 –> 2000-2012 3.6484856 16835.0238
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0669164 10301.4026 14.196373 1990-1999 –> 2000-2012 3.7833117 17133.2963
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.1361037 10459.3140 22.290539 1990-1999 –> 2000-2012 3.8933523 17373.0675
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.1629225 10519.1528 25.264079 1990-1999 –> 2000-2012 3.9345766 17461.3184
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.1989701 10598.4250 16.309198 1990-1999 –> 2000-2012 3.9992455 17596.3611
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.2004206 10599.5875 15.280820 1990-1999 –> 2000-2012 3.9904417 17575.6449
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.0860637 10345.6268 19.975942 1990-1999 –> 2000-2012 3.6026704 16746.8672
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.2716861 10752.4544 17.733985 1990-1999 –> 2000-2012 4.1138620 17828.4575
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6364762 6045.0524 27.471250 2000-2012 –> 2013-2019 4.7300390 16405.8891
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.5846959 5994.9482 24.744636 2000-2012 –> 2013-2019 4.7623441 16544.6427
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.5332582 16089.9896
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5653762 5977.9963 25.592327 2000-2012 –> 2013-2019 4.6322925 16279.3988
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5985873 6010.4878 25.748151 2000-2012 –> 2013-2019 4.7346911 16469.8018
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6096389 6021.2079 25.770703 2000-2012 –> 2013-2019 4.7725614 16540.3607
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.6623762 6071.7460 22.596317 2000-2012 –> 2013-2019 4.8613463 16670.1710
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.7633578 6163.7827 28.240304 2000-2012 –> 2013-2019 4.9637784 16763.3702
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.3413155 15998.1644
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.8094508 6205.5690 28.490393 2000-2012 –> 2013-2019 5.0811370 16958.0234
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.0909522 8773.9389 9.715574 1990-1999 –> 2000-2012 4.2979953 15393.1884
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9148200 8414.4995 9.235730 1990-1999 –> 2000-2012 3.7261919 14441.4124
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8904789 8364.5325 9.689213 1990-1999 –> 2000-2012 3.5557793 14142.2174
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.1351734 8856.9497 9.523454 1990-1999 –> 2000-2012 4.3762270 15519.8930
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8979717 8380.6003 9.355072 1990-1999 –> 2000-2012 3.5775919 14183.8689
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9187787 8424.8886 8.642107 1990-1999 –> 2000-2012 3.6200842 14266.4879
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0344319 8662.6282 8.966907 1990-1999 –> 2000-2012 3.9456079 14851.8003
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9234272 8434.7175 8.493771 1990-1999 –> 2000-2012 3.6302181 14285.9353
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0594140 8712.2044 13.384239 1990-1999 –> 2000-2012 3.8458698 14699.7308
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3112875 9180.8912 13.899054 1990-1999 –> 2000-2012 4.3303427 15534.1370
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2408412 5097.7041 11.555324 2000-2012 –> 2013-2019 4.3317934 13871.6430
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.3003827 5155.6000 13.777336 2000-2012 –> 2013-2019 4.2152027 13570.0995
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.1851737 13516.4782
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.3424794 5197.0192 15.033313 2000-2012 –> 2013-2019 4.4776528 14053.9689
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.3613801 5215.3740 15.167463 2000-2012 –> 2013-2019 4.5523853 14177.1744
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2882847 5145.5566 14.231726 2000-2012 –> 2013-2019 4.1862565 13526.1569
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3093184 5166.4549 14.219293 2000-2012 –> 2013-2019 4.2280971 13591.3435
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3856862 5240.7635 15.221464 2000-2012 –> 2013-2019 4.4201181 13903.3917
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3127467 5169.8432 14.213647 2000-2012 –> 2013-2019 4.2361739 13604.5606
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5328202 5377.4530 21.355986 2000-2012 –> 2013-2019 4.5922342 14089.6574
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2.5285742 9515.7061 13.358360 1990-1999 –> 2000-2012 5.0710288 17059.0296
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.4514644 9392.2776 12.813379 1990-1999 –> 2000-2012 4.8749661 16784.1723
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6905754 9769.2091 21.422922 1990-1999 –> 2000-2012 4.9886992 16991.0122
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.1625100 8884.3428 12.574713 1990-1999 –> 2000-2012 3.9001364 15210.9532
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0541626 10282.5481 24.115856 1990-1999 –> 2000-2012 5.3062355 17439.5365
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7127786 9802.4934 22.028851 1990-1999 –> 2000-2012 5.0869970 17128.6024
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7866936 9911.3670 22.922743 1990-1999 –> 2000-2012 5.2625621 17371.7134
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7889943 9914.7094 22.912954 1990-1999 –> 2000-2012 5.2725665 17385.0033
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.4063497 9315.0504 11.614926 1990-1999 –> 2000-2012 4.1970310 15735.9646
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.2547324 9053.4778 15.509020 1990-1999 –> 2000-2012 4.0053565 15403.9505
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.0051254 5599.7139 21.412798 2000-2012 –> 2013-2019 5.7555576 15456.0350
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 3.0025580 5597.8181 16.245244 2000-2012 –> 2013-2019 5.5311321 15113.5242
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7952620 5441.1451 16.992150 2000-2012 –> 2013-2019 5.2467264 14833.4228
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.5932118 5996.1307 25.833019 2000-2012 –> 2013-2019 6.3587310 15874.6067
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5374046 5963.4120 24.085736 2000-2012 –> 2013-2019 6.2279800 15732.6211
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8205406 5461.1132 14.090309 2000-2012 –> 2013-2019 4.9830506 14345.4560
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5665106 5981.5872 24.964534 2000-2012 –> 2013-2019 6.2792891 15784.0805
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6059244 6005.9640 24.904825 2000-2012 –> 2013-2019 6.4114002 15944.5364
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 3.1081847 5674.5038 12.222568 2000-2012 –> 2013-2019 5.5145344 14989.5543
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.7923328 5438.8197 16.610907 2000-2012 –> 2013-2019 5.0470652 14492.2975
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.4538915 13003.5694 13.901382 1990-1999 –> 2000-2012 4.8720434 22748.1806
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3944064 12867.9502 14.685866 1990-1999 –> 2000-2012 4.6273776 22277.7147
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.6672945 13473.2179 16.028019 1990-1999 –> 2000-2012 5.0762115 23203.6515
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.6383511 13412.0316 14.161236 1990-1999 –> 2000-2012 5.0134081 23082.6144
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7648350 13674.6366 14.332355 1990-1999 –> 2000-2012 5.1807830 23417.3925
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3920617 12862.4560 14.587684 1990-1999 –> 2000-2012 4.6007341 22225.9599
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.4132697 12911.9574 14.216479 1990-1999 –> 2000-2012 4.6224924 22276.5146
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4148672 12915.6685 14.181558 1990-1999 –> 2000-2012 4.6249780 22281.9249
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.4122515 12909.5908 14.214259 1990-1999 –> 2000-2012 4.6219594 22275.0765
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.4316201 12952.4392 14.640607 1990-1999 –> 2000-2012 4.6520355 22336.3628
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.2267256 7862.9314 14.600864 2000-2012 –> 2013-2019 6.0506408 21656.1398
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.8745087 7510.7055 15.545879 2000-2012 –> 2013-2019 5.3284002 20514.2749
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.8711798 7509.1946 15.461950 2000-2012 –> 2013-2019 5.2655862 20377.1448
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.0579744 7700.1745 23.047538 2000-2012 –> 2013-2019 5.7252689 21173.3925
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.2253635 7861.6521 15.979383 2000-2012 –> 2013-2019 5.8637146 21273.6838
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.8690598 7506.9564 15.594453 2000-2012 –> 2013-2019 5.2611214 20369.4124
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8670393 7504.8218 16.960962 2000-2012 –> 2013-2019 5.2803090 20416.7793
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.8833164 7521.9755 16.841839 2000-2012 –> 2013-2019 5.2981836 20437.6440
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8660787 7503.8064 16.855872 2000-2012 –> 2013-2019 5.2783302 20413.3972
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.9784908 7618.3764 19.270332 2000-2012 –> 2013-2019 5.4101109 20570.8156
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.7389083 4098.3902 12.226980 1990-1999 –> 2000-2012 3.4405003 6899.6092
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5641536 3880.9392 12.798383 1990-1999 –> 2000-2012 3.0513518 6491.5796
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6216292 3955.7103 16.087961 1990-1999 –> 2000-2012 3.1724691 6626.2717
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.7650734 4131.3350 14.031130 1990-1999 –> 2000-2012 3.4628885 6931.3764
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6994499 4052.8317 11.282662 1990-1999 –> 2000-2012 3.1578806 6635.5401
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5917451 3917.1705 12.897616 1990-1999 –> 2000-2012 3.1149699 6562.0390
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6372666 3975.5949 13.097914 1990-1999 –> 2000-2012 3.2142052 6670.0211
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6298056 3966.1312 13.022129 1990-1999 –> 2000-2012 3.2011015 6655.4314
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6414780 3980.9177 13.114352 1990-1999 –> 2000-2012 3.2228438 6679.3529
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7749958 4140.9502 13.130974 1990-1999 –> 2000-2012 3.4795805 6944.6820
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.8570079 2102.8906 11.721525 2000-2012 –> 2013-2019 3.5959162 6201.2808
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7475521 2042.5606 12.039326 2000-2012 –> 2013-2019 3.3117057 5923.4997
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.8818950 2118.5494 15.436669 2000-2012 –> 2013-2019 3.5035242 6074.2597
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.9475963 2153.7584 13.043317 2000-2012 –> 2013-2019 3.7126697 6285.0934
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.8815759 2118.3754 10.455785 2000-2012 –> 2013-2019 3.5810257 6171.2072
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7754726 2058.8233 12.075398 2000-2012 –> 2013-2019 3.3672178 5975.9938
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8242119 2086.6088 12.213063 2000-2012 –> 2013-2019 3.4614785 6062.2038
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8185913 2083.4428 12.157352 2000-2012 –> 2013-2019 3.4483969 6049.5740
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8275241 2088.4700 12.223997 2000-2012 –> 2013-2019 3.4690021 6069.3878
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8927037 2122.4255 12.335505 2000-2012 –> 2013-2019 3.6676995 6263.3757
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 3.4444208 5231.0950 40.406696 1990-1999 –> 2000-2012 6.3147230 9094.5834
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.4332878 5226.7302 38.381356 1990-1999 –> 2000-2012 6.2609302 9068.8891
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.4396213 5230.3536 36.781212 1990-1999 –> 2000-2012 6.0916497 8972.6158
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.4272905 5225.2930 34.214054 1990-1999 –> 2000-2012 6.0792673 8969.5249
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.7883887 5422.2287 41.522502 1990-1999 –> 2000-2012 6.4114033 9149.3522
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 3.7037842 5375.8252 47.552593 1990-1999 –> 2000-2012 6.3676930 9125.0513
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.9304503 4917.3900 22.456892 1990-1999 –> 2000-2012 5.5812927 8660.9554
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6910978 5371.0796 44.818472 1990-1999 –> 2000-2012 6.3520494 9120.5752
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.0946626 5022.5819 23.332862 1990-1999 –> 2000-2012 5.9648868 8888.0279
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0757549 5012.5332 23.130965 1990-1999 –> 2000-2012 5.8892694 8848.8882
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.7372699 3127.0405 23.268863 2000-2012 –> 2013-2019 7.1705577 8353.7707
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.4103854 3022.8793 30.447244 2000-2012 –> 2013-2019 6.8500067 8253.2329
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3215129 2994.8304 29.207068 2000-2012 –> 2013-2019 6.7488034 8220.1234
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.2269879 2961.9750 29.065190 2000-2012 –> 2013-2019 7.0153766 8384.2037
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 3.4619667 3039.9624 30.854082 2000-2012 –> 2013-2019 7.1657509 8415.7876
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.3261262 2996.4099 29.121490 2000-2012 –> 2013-2019 6.2565764 7913.7999
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3417360 3001.7382 29.366995 2000-2012 –> 2013-2019 7.0328338 8372.8178
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.3476068 3003.7357 29.830605 2000-2012 –> 2013-2019 7.1790512 8448.1823
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.6730463 3107.3144 22.693963 2000-2012 –> 2013-2019 6.7677089 8129.8962
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.6600265 3105.2733 23.151675 2000-2012 –> 2013-2019 6.7357814 8117.8065
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5430532 7075.5511 25.262696 1990-1999 –> 2000-2012 9.4371938 12586.3055
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.9558395 6742.2684 22.787482 1990-1999 –> 2000-2012 7.6575972 11742.5886
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.5892157 7099.8956 24.750781 1990-1999 –> 2000-2012 9.5528253 12636.4147
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 4.5957099 7101.3007 25.379691 1990-1999 –> 2000-2012 9.5619295 12636.7809
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5082516 7057.0339 24.566608 1990-1999 –> 2000-2012 9.3848057 12561.2077
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.4923146 7048.5063 24.290391 1990-1999 –> 2000-2012 9.3554400 12547.6394
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.5511381 7079.8326 23.985976 1990-1999 –> 2000-2012 9.4864812 12605.9120
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.4965817 7050.7925 24.338742 1990-1999 –> 2000-2012 9.3629614 12551.1484
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.0815088 6815.5758 22.528945 1990-1999 –> 2000-2012 8.1053545 11966.4067
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.8590720 6682.6316 25.099675 1990-1999 –> 2000-2012 7.2276074 11510.5171
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.2792874 3840.4697 24.913097 2000-2012 –> 2013-2019 8.8223406 10916.0208
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.5357472 3586.2418 25.590197 2000-2012 –> 2013-2019 7.4915867 10328.5101
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3482817 3861.7741 24.983745 2000-2012 –> 2013-2019 8.9374974 10961.6697
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 4.3539003 3861.4941 24.298412 2000-2012 –> 2013-2019 8.9496102 10962.7948
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2652741 3836.1007 24.445783 2000-2012 –> 2013-2019 8.7735257 10893.1346
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.2577904 3833.7616 24.198809 2000-2012 –> 2013-2019 8.7501050 10882.2679
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.3522171 3862.9791 24.110315 2000-2012 –> 2013-2019 8.9033552 10942.8117
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.2605747 3834.6323 24.285919 2000-2012 –> 2013-2019 8.7571564 10885.4248
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.8465745 3696.4739 22.933854 2000-2012 –> 2013-2019 7.9280833 10512.0498
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.5060655 3575.0128 26.986021 2000-2012 –> 2013-2019 7.3651375 10257.6443
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.0598757 2387.1610 7.838670 1990-1999 –> 2000-2012 1.9783184 3967.7836
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0324411 2346.9902 6.945256 1990-1999 –> 2000-2012 1.9508238 3929.5359
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0374154 2354.7189 6.772617 1990-1999 –> 2000-2012 1.9688975 3953.9201
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 1.0720450 2405.5186 7.771536 1990-1999 –> 2000-2012 1.9993762 3997.4675
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.9934328 2285.0583 8.087713 1990-1999 –> 2000-2012 1.8807682 3827.1601
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0379653 2355.5710 6.801673 1990-1999 –> 2000-2012 1.9644460 3948.4409
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0441523 2365.1273 6.681498 1990-1999 –> 2000-2012 1.9806955 3970.7009
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0549956 2381.7401 6.632577 1990-1999 –> 2000-2012 2.0040503 4002.9200
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0412160 2360.5991 6.747646 1990-1999 –> 2000-2012 1.9730728 3960.2733
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0436142 2364.2985 12.188672 1990-1999 –> 2000-2012 1.8463405 3788.5542
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.1212849 1343.0032 8.929761 2000-2012 –> 2013-2019 2.1811606 3730.1642
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0586072 1295.0748 7.429722 2000-2012 –> 2013-2019 2.0910483 3642.0650
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0605845 1296.6946 7.328068 2000-2012 –> 2013-2019 2.0979999 3651.4134
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.1016403 1329.6613 7.172197 2000-2012 –> 2013-2019 2.1772427 3742.5068
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0174317 1260.6390 9.169936 2000-2012 –> 2013-2019 2.0108645 3545.6973
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0645856 1299.9629 7.272475 2000-2012 –> 2013-2019 2.1025508 3655.5339
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0701724 1304.5062 7.163185 2000-2012 –> 2013-2019 2.1143246 3669.6335
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0832185 1315.0237 7.100796 2000-2012 –> 2013-2019 2.1382142 3696.7638
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0672164 1302.1053 7.231208 2000-2012 –> 2013-2019 2.1084324 3662.7045
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1075442 1334.3006 13.578379 2000-2012 –> 2013-2019 2.1511584 3698.5991
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7598609 2156.1646 5.927820 1990-1999 –> 2000-2012 1.3716917 3448.4510
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7694118 2179.5475 5.861659 1990-1999 –> 2000-2012 1.3934351 3499.0247
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 0.7738185 2188.2386 5.929291 1990-1999 –> 2000-2012 1.4256585 3565.8124
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7732894 2188.9581 6.043872 1990-1999 –> 2000-2012 1.4250872 3568.4427
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7641038 2166.5883 5.828897 1990-1999 –> 2000-2012 1.3827321 3474.1001
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.7691115 2178.8167 5.746491 1990-1999 –> 2000-2012 1.3961499 3504.9360
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 0.7796162 2202.2118 5.906727 1990-1999 –> 2000-2012 1.4036413 3519.6932
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7725500 2187.1672 5.972146 1990-1999 –> 2000-2012 1.3965242 3506.5361
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7666596 2172.8394 5.792427 1990-1999 –> 2000-2012 1.3899449 3490.6860
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7856962 2218.7544 10.025704 1990-1999 –> 2000-2012 1.3228353 3331.6274
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.8714406 1285.6430 6.181914 2000-2012 –> 2013-2019 1.6447306 3472.6026
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.6311195 3443.5998
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8847238 1302.6800 5.915366 2000-2012 –> 2013-2019 1.6541356 3482.2275
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 0.8778716 1292.9515 6.059913 2000-2012 –> 2013-2019 1.6516901 3481.1901
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8492568 1262.0116 6.971050 2000-2012 –> 2013-2019 1.6225461 3450.9696
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 0.8856865 1301.7610 5.968256 2000-2012 –> 2013-2019 1.6610907 3493.8318
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8778689 1294.9484 6.059947 2000-2012 –> 2013-2019 1.6419727 3461.5366
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8853091 1303.3374 5.967298 2000-2012 –> 2013-2019 1.6544206 3482.1541
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.8813568 1296.8899 6.031685 2000-2012 –> 2013-2019 1.6559197 3486.9284
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8812870 1298.8112 6.030679 2000-2012 –> 2013-2019 1.6479466 3471.6506
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.5623454 2609.3623 2.430575 1990-1999 –> 2000-2012 1.2438822 5168.7747
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.5939756 2777.9061 2.353787 1990-1999 –> 2000-2012 1.1543396 4855.7400
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 0.6375040 2995.7309 2.402197 1990-1999 –> 2000-2012 1.2609490 5335.9827
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.5471615 2527.0561 2.040783 1990-1999 –> 2000-2012 1.0995589 4571.6654
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.5816010 2713.0610 2.059205 1990-1999 –> 2000-2012 1.1480858 4817.6197
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.5814763 2714.4005 2.081606 1990-1999 –> 2000-2012 1.1382491 4778.4185
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.5693363 2649.4158 2.047829 1990-1999 –> 2000-2012 1.1348365 4751.6950
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.6019966 2819.2202 2.184553 1990-1999 –> 2000-2012 1.2260836 5162.0035
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.5718023 2660.7281 2.192349 1990-1999 –> 2000-2012 1.1877867 4971.3637
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5576121 2585.3284 2.314250 1990-1999 –> 2000-2012 1.1735764 4897.8840
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.7431790 1850.0329 4.262643 2000-2012 –> 2013-2019 1.3371546 4627.9389
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 0.8257916 2022.6871 4.712442 2000-2012 –> 2013-2019 1.4632956 5018.4180
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.7372762 1838.9708 4.731734 2000-2012 –> 2013-2019 1.2844377 4366.0269
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.7638188 1894.9037 5.281723 2000-2012 –> 2013-2019 1.3454198 4607.9647
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7409497 1847.1121 4.370070 2000-2012 –> 2013-2019 1.3224260 4561.5126
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.7570242 1882.2675 4.592474 2000-2012 –> 2013-2019 1.3263604 4531.6833
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.8271866 2027.4518 5.276578 2000-2012 –> 2013-2019 1.4549271 4977.6468
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.8686623 2105.5896 7.748139 2000-2012 –> 2013-2019 1.4706590 4924.8098
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.8619250 2092.8357 8.363302 2000-2012 –> 2013-2019 1.4337273 4753.5638
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.8613203 2093.6861 8.208278 2000-2012 –> 2013-2019 1.4189324 4679.0145
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.5320594 4255.8361 3.167207 1990-1999 –> 2000-2012 1.0434378 7328.3550
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.3593168 2139.5581 1.966552 1990-1999 –> 2000-2012 0.6809897 3314.0566
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.3540505 2062.0339 1.937681 1990-1999 –> 2000-2012 0.6679103 3137.9648
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.3588037 2133.8610 1.963165 1990-1999 –> 2000-2012 0.6767332 3262.4844
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.3463114 1944.9979 1.900529 1990-1999 –> 2000-2012 0.6577127 2990.7648
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.3592615 2140.7296 1.976601 1990-1999 –> 2000-2012 0.6770234 3267.1953
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3473235 1960.7157 2.119236 1990-1999 –> 2000-2012 0.6611684 3038.4519
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.3584097 2129.9437 2.006883 1990-1999 –> 2000-2012 0.6752417 3246.4232
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.5656549 4587.6159 1.954989 1990-1999 –> 2000-2012 1.0673514 7583.9563
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5306498 4243.5482 3.091584 1990-1999 –> 2000-2012 1.0190828 7130.3046
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.4186021 1716.7958 2.479100 2000-2012 –> 2013-2019 0.7779188 3856.3538
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.3991609 1570.7062 2.411345 2000-2012 –> 2013-2019 0.7532114 3632.7401
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.4110188 1661.8663 2.465092 2000-2012 –> 2013-2019 0.7698225 3795.7273
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.3901368 1501.4981 2.457959 2000-2012 –> 2013-2019 0.7364483 3446.4960
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 0.6309055 2996.2688 2.438558 2000-2012 –> 2013-2019 1.2382861 7965.2135
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.4185494 1718.4039 2.493370 2000-2012 –> 2013-2019 0.7778109 3859.1334
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3803071 1422.0335 2.702200 2000-2012 –> 2013-2019 0.7276306 3382.7492
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.4078439 1639.7187 2.585072 2000-2012 –> 2013-2019 0.7662535 3769.6624
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.6223784 2955.8940 2.224321 2000-2012 –> 2013-2019 1.1880333 7543.5099
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7057457 3347.3447 8.527267 2000-2012 –> 2013-2019 1.2363955 7590.8929
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.2360939 34376.5179 29.968567 1990-1999 –> 2000-2012 12.7424528 60715.6827
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.1928478 34304.9200 29.527354 1990-1999 –> 2000-2012 12.6446974 60578.7964
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6.0656694 34085.4664 34.021650 1990-1999 –> 2000-2012 12.4177617 60234.7133
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.3644017 34591.9111 30.317607 1990-1999 –> 2000-2012 12.9880094 61073.9217
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6.2323348 34372.1408 29.869481 1990-1999 –> 2000-2012 12.7372190 60711.4926
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 6.4317544 34703.2459 30.462832 1990-1999 –> 2000-2012 13.1149351 61256.8693
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.3160008 34513.1739 29.849776 1990-1999 –> 2000-2012 12.8762904 60920.3601
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.3788089 34617.8251 29.965279 1990-1999 –> 2000-2012 12.9926147 61089.9912
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6.3803163 34620.3241 32.737040 1990-1999 –> 2000-2012 13.1158737 61238.3842
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.3838810 34626.2313 30.048903 1990-1999 –> 2000-2012 13.0060926 61108.5560
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.9520247 18049.4373 24.894024 2000-2012 –> 2013-2019 12.1881186 52425.9552
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.0707203 52285.7513
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.7800044 17886.2676 29.028201 2000-2012 –> 2013-2019 11.8456737 51971.7340
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.0689531 18159.0061 25.717976 2000-2012 –> 2013-2019 12.4333549 52750.9172
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.9502121 18049.7219 24.771202 2000-2012 –> 2013-2019 12.1825468 52421.8627
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.9876308 18085.0286 24.907000 2000-2012 –> 2013-2019 12.3036316 52598.2025
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.0467572 18140.3704 25.129848 2000-2012 –> 2013-2019 12.4255661 52758.1956
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.9297425 18028.3137 27.542353 2000-2012 –> 2013-2019 12.3132039 52651.8497
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.9257831 18026.5518 27.359693 2000-2012 –> 2013-2019 12.3060994 52646.8759
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.0472061 18140.7885 25.195843 2000-2012 –> 2013-2019 12.4310871 52767.0198
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.8905258 33230.9339 41.688307 1990-1999 –> 2000-2012 9.4524931 58322.2878
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5360650 32401.5327 43.772780 1990-1999 –> 2000-2012 8.7000802 56715.4052
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.8628318 33170.1823 52.418978 1990-1999 –> 2000-2012 9.1862452 57804.8636
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5877220 32526.6595 39.934460 1990-1999 –> 2000-2012 8.8170281 56973.3987
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6579284 32694.4781 38.557719 1990-1999 –> 2000-2012 8.9501060 57267.2357
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6658266 32713.1992 39.207721 1990-1999 –> 2000-2012 8.9693138 57308.4295
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.7555301 32923.6260 49.041150 1990-1999 –> 2000-2012 9.0570028 57514.8577
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.8893893 33228.3657 40.409229 1990-1999 –> 2000-2012 9.4328140 58284.9370
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.8803203 33209.8508 41.154556 1990-1999 –> 2000-2012 9.4220827 58265.2970
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.9245814 33307.6149 49.529819 1990-1999 –> 2000-2012 9.4873512 58400.4708
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4724496 17036.8813 46.310491 2000-2012 –> 2013-2019 9.0085146 49438.4140
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.7768612 17421.1668 50.752667 2000-2012 –> 2013-2019 9.6396930 50591.3491
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5594237 17149.2824 39.840874 2000-2012 –> 2013-2019 9.1471456 49675.9420
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6381187 17249.1516 36.657339 2000-2012 –> 2013-2019 9.2960471 49943.6297
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.6824845 17304.7104 36.962646 2000-2012 –> 2013-2019 9.5754407 50543.1344
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6426236 17254.8173 36.476302 2000-2012 –> 2013-2019 9.3084502 49968.0165
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.7159666 17344.2923 34.960948 2000-2012 –> 2013-2019 9.6098974 50582.9168
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.5715543 17164.7889 45.715284 2000-2012 –> 2013-2019 9.3270844 50088.4149
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.8142859 17464.7112 37.043514 2000-2012 –> 2013-2019 9.7036752 50693.0769
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.8065118 17457.2797 38.739984 2000-2012 –> 2013-2019 9.6868321 50667.1305
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.0473152 25612.8259 22.127132 1990-1999 –> 2000-2012 8.1008488 45140.3104
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9265162 25339.4488 20.226531 1990-1999 –> 2000-2012 7.7994387 44553.3401
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.0209885 25555.5176 28.598406 1990-1999 –> 2000-2012 8.0423845 45029.8880
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0407862 25600.1536 20.538812 1990-1999 –> 2000-2012 8.0222352 45005.3996
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.1155357 25766.7341 26.209478 1990-1999 –> 2000-2012 8.1669672 45292.6271
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.0370480 25589.7423 30.746710 1990-1999 –> 2000-2012 8.0674028 45077.5206
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.9296720 25346.7499 27.085865 1990-1999 –> 2000-2012 7.9217876 44770.5212
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1115488 25757.9260 25.794169 1990-1999 –> 2000-2012 8.1645637 45286.5244
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.0218289 25557.4171 33.030413 1990-1999 –> 2000-2012 8.1332573 45185.0944
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9477481 25388.4579 23.151958 1990-1999 –> 2000-2012 7.9195486 44776.9043
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.4033896 14211.0265 24.538450 2000-2012 –> 2013-2019 8.4507048 39823.8524
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.2938981 14089.7973 24.434470 2000-2012 –> 2013-2019 8.2204143 39429.2462
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.3501970 14153.5474 32.321225 2000-2012 –> 2013-2019 8.3711854 39709.0650
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.4150176 14225.9330 24.186850 2000-2012 –> 2013-2019 8.4558038 39826.0866
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.4301535 14240.6823 39.362594 2000-2012 –> 2013-2019 8.4672016 39830.4246
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.2783866 14072.0860 34.710261 2000-2012 –> 2013-2019 8.2080586 39418.8360
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.4145039 14223.3635 32.302554 2000-2012 –> 2013-2019 8.5268346 39981.0176
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.3225383 14122.3318 31.664753 2000-2012 –> 2013-2019 8.3443672 39679.7489
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.2923135 14087.9909 22.815590 2000-2012 –> 2013-2019 8.2400615 39476.4489
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.3388127 14138.7232 34.446250 2000-2012 –> 2013-2019 8.3606936 39694.2577
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 4.5403612 31405.2681 19.876020 1990-1999 –> 2000-2012 8.6556795 55212.3004
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5232238 31366.7748 18.928405 1990-1999 –> 2000-2012 8.6238531 55145.7781
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3077986 30844.2463 21.980567 1990-1999 –> 2000-2012 8.1115010 53992.0092
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.2906105 30803.4359 21.052395 1990-1999 –> 2000-2012 8.0767206 53914.2677
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.6148475 31583.5114 23.274496 1990-1999 –> 2000-2012 8.7596933 55454.5845
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 4.5760857 31491.1911 21.767197 1990-1999 –> 2000-2012 8.6587946 55233.4135
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.1643941 30483.7138 22.734855 1990-1999 –> 2000-2012 7.8643997 53401.3514
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5574581 31449.5139 20.690367 1990-1999 –> 2000-2012 8.6235039 55159.3906
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.2057274 30587.4712 23.104196 1990-1999 –> 2000-2012 7.9880619 53687.9240
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.1702723 30498.8181 21.453131 1990-1999 –> 2000-2012 7.9166385 53521.0276
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 4.9134802 17280.6429 19.343238 2000-2012 –> 2013-2019 9.4538414 48685.9111
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.9018613 17269.0630 18.494849 2000-2012 –> 2013-2019 9.4250851 48635.8378
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.6612052 16980.3073 20.095371 2000-2012 –> 2013-2019 8.9690038 47824.5536
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.6499950 16968.4956 19.282213 2000-2012 –> 2013-2019 8.9406055 47771.9315
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.9851462 17367.7017 22.664635 2000-2012 –> 2013-2019 9.5999937 48951.2130
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 4.9513404 17326.6716 20.411849 2000-2012 –> 2013-2019 9.5274261 48817.8627
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.5360260 16826.1577 17.606576 2000-2012 –> 2013-2019 8.7004201 47309.8716
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.9378281 17312.9965 19.423212 2000-2012 –> 2013-2019 9.4952862 48762.5104
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.7831284 47463.7121
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5537010 16848.4650 17.066955 2000-2012 –> 2013-2019 8.7239733 47347.2831
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.4389355 37635.7547 39.385070 1990-1999 –> 2000-2012 8.2935142 64842.5540
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3929768 37503.1646 41.945012 1990-1999 –> 2000-2012 8.1691302 64510.0234
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.2956539 37213.4453 48.286060 1990-1999 –> 2000-2012 8.0136344 64067.7842
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5777962 38036.1005 38.087367 1990-1999 –> 2000-2012 8.5536917 65549.3287
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.6189456 38151.8258 73.211721 1990-1999 –> 2000-2012 8.4198173 65222.7816
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1535561 36778.4265 49.359080 1990-1999 –> 2000-2012 7.7638731 63344.0867
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.3599345 37403.5276 46.003290 1990-1999 –> 2000-2012 8.1583015 64466.0076
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 4.5799992 38040.3224 37.420573 1990-1999 –> 2000-2012 8.5722052 65591.7695
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9500266 36128.6900 31.512269 1990-1999 –> 2000-2012 7.3807488 62193.0825
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.6663213 38281.7913 72.764927 1990-1999 –> 2000-2012 8.5166457 65477.7417
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.1328308 21210.8952 31.173698 2000-2012 –> 2013-2019 9.5717663 58846.6499
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.0789520 21139.6617 33.597697 2000-2012 –> 2013-2019 9.4719288 58642.8263
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.0651721 21120.8069 42.030410 2000-2012 –> 2013-2019 9.3608260 58334.2522
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.2438988 21361.4663 29.474927 2000-2012 –> 2013-2019 9.8216950 59397.5668
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.3218367 21463.8538 27.961603 2000-2012 –> 2013-2019 10.0093760 59806.3142
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.9716940 20991.5322 35.708885 2000-2012 –> 2013-2019 9.1252501 57769.9588
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 5.1322261 21210.0776 39.784583 2000-2012 –> 2013-2019 9.4921606 58613.6052
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 5.2457410 21361.9039 28.969816 2000-2012 –> 2013-2019 9.8257402 59402.2264
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.4223646 56385.6280
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5.3226341 21462.8935 27.632792 2000-2012 –> 2013-2019 10.0108400 59805.1927
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4261572 31007.5182 32.305003 1990-1999 –> 2000-2012 6.4772319 53354.9367
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6920890 31881.6814 32.521736 1990-1999 –> 2000-2012 6.9044750 54683.0947
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.7105782 31938.0962 31.726047 1990-1999 –> 2000-2012 6.9285470 54752.8108
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.7568967 32083.1670 30.801943 1990-1999 –> 2000-2012 7.0025982 54973.4984
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6349919 31699.4240 32.897992 1990-1999 –> 2000-2012 6.8128385 54405.5784
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6645316 31794.0711 32.984718 1990-1999 –> 2000-2012 6.8664678 54566.7727
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 3.6894182 31871.2191 35.096292 1990-1999 –> 2000-2012 7.1457978 55315.7389
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6434273 31726.5299 33.075508 1990-1999 –> 2000-2012 6.8333694 54466.1606
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.6356816 31701.6427 32.976030 1990-1999 –> 2000-2012 6.8593998 54534.0870
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3461863 30731.3292 33.390589 1990-1999 –> 2000-2012 6.4071973 53107.3988
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.9776245 17522.8442 31.036835 2000-2012 –> 2013-2019 7.4037817 48530.3624
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3037583 18015.6837 32.127293 2000-2012 –> 2013-2019 7.9958473 49897.3651
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 4.3425043 18069.7354 30.551097 2000-2012 –> 2013-2019 8.0530824 50007.8316
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.4121255 18169.2074 29.187384 2000-2012 –> 2013-2019 8.1690222 50252.3744
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2298938 17907.4158 32.750414 2000-2012 –> 2013-2019 7.8648856 49606.8398
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.2604972 17952.5008 32.866158 2000-2012 –> 2013-2019 7.9250288 49746.5719
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 4.2378448 17917.1605 33.742948 2000-2012 –> 2013-2019 7.9272630 49788.3796
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.2332498 17912.3758 32.987685 2000-2012 –> 2013-2019 7.8766771 49638.9057
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.2454019 17930.3030 31.035584 2000-2012 –> 2013-2019 7.8810835 49631.9457
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.1899105 48040.0175
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.2683124 30398.6938 24.119856 1990-1999 –> 2000-2012 5.7015900 51509.4379
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2280103 30253.8699 9.417658 1990-1999 –> 2000-2012 5.6942119 51487.4555
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.3807244 30791.3972 22.456992 1990-1999 –> 2000-2012 5.8735992 52121.3055
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.1915247 30121.1923 10.602973 1990-1999 –> 2000-2012 5.7877762 51824.4781
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.2235153 30235.6053 10.906227 1990-1999 –> 2000-2012 5.8304613 51974.4634
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1735450 30055.2512 8.689085 1990-1999 –> 2000-2012 5.6080213 51170.4966
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.1804225 30080.5185 8.700790 1990-1999 –> 2000-2012 5.6273036 51242.2186
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.3718754 30762.8056 25.015821 1990-1999 –> 2000-2012 5.8690761 52110.5613
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.1824417 30085.9266 11.982022 1990-1999 –> 2000-2012 5.6492280 51319.6789
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1698959 30041.8225 8.686571 1990-1999 –> 2000-2012 5.6103370 51179.4349
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.9417327 17337.7899 25.386634 2000-2012 –> 2013-2019 7.2100451 47736.4837
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7804110 17078.3721 11.020697 2000-2012 –> 2013-2019 7.0084214 47332.2420
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 4.0989818 17578.6356 23.944569 2000-2012 –> 2013-2019 7.4797062 48370.0328
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.6736333 16900.5032 10.209719 2000-2012 –> 2013-2019 6.8651581 47021.6955
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.7197021 16975.8697 10.325293 2000-2012 –> 2013-2019 6.9432174 47211.4751
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7040372 16951.6707 10.351471 2000-2012 –> 2013-2019 6.8775822 47006.9218
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7079082 16958.1551 10.354380 2000-2012 –> 2013-2019 6.8883307 47038.6736
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.7970417 17103.6222 16.783216 2000-2012 –> 2013-2019 6.9794834 47189.5487
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6928602 16932.9096 10.332716 2000-2012 –> 2013-2019 6.8627561 46974.7321
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0127640 17448.6640 19.751773 2000-2012 –> 2013-2019 7.3819468 48202.1453
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.7304690 11242.0909 21.046900 1990-1999 –> 2000-2012 4.7643494 18811.6292
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7290365 11241.6591 21.325228 1990-1999 –> 2000-2012 4.7578782 18804.3918
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7364990 11254.3133 24.038402 1990-1999 –> 2000-2012 4.7641360 18814.9375
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7379203 11256.7195 21.095496 1990-1999 –> 2000-2012 4.7802659 18843.0026
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7345748 11251.0538 20.898422 1990-1999 –> 2000-2012 4.7825648 18847.1344
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7333752 11249.0204 20.835835 1990-1999 –> 2000-2012 4.7827584 18847.5153
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.7271269 11238.4154 21.453348 1990-1999 –> 2000-2012 4.7637369 18814.7147
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.7408402 11259.6589 23.487260 1990-1999 –> 2000-2012 4.7851376 18847.3331
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2.7417874 11261.2601 20.642191 1990-1999 –> 2000-2012 4.7907857 18857.0881
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.6406178 11089.0349 20.968772 1990-1999 –> 2000-2012 4.6400651 18599.9581
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.1358059 6490.2930 31.989646 2000-2012 –> 2013-2019 5.8629052 17728.6613
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1693826 6517.2176 30.950746 2000-2012 –> 2013-2019 5.8984191 17758.8767
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.1488202 6498.7630 29.448400 2000-2012 –> 2013-2019 5.8762396 17735.6753
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.1768073 6521.1329 29.025171 2000-2012 –> 2013-2019 5.9117926 17770.8822
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0327595 6405.8242 34.844332 2000-2012 –> 2013-2019 5.7692585 17660.1374
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.1765251 6522.9083 29.825860 2000-2012 –> 2013-2019 5.9110999 17773.9621
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.1487768 6500.7281 29.551108 2000-2012 –> 2013-2019 5.8739654 17735.8488
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1759606 6522.4591 29.661552 2000-2012 –> 2013-2019 5.9093358 17771.4795
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.1128492 6469.7178 31.766441 2000-2012 –> 2013-2019 5.8536894 17729.3767
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0665742 6433.8549 28.861392 2000-2012 –> 2013-2019 5.7071919 17522.8898
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 2.7496135 14142.3392 28.845958 1990-1999 –> 2000-2012 4.9738364 23884.0052
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.7472776 14139.3979 28.705900 1990-1999 –> 2000-2012 4.9302149 23800.8869
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.7478798 14140.6722 28.568482 1990-1999 –> 2000-2012 4.9698272 23879.8488
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate_star 2.7667023 14178.3612 31.951517 1990-1999 –> 2000-2012 4.9504391 23839.4563
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.7620867 14170.6537 31.227540 1990-1999 –> 2000-2012 4.9455294 23833.1582
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 2.7487099 14140.4282 28.492785 1990-1999 –> 2000-2012 4.9338307 23804.3022
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 2.7484328 14139.8421 28.396374 1990-1999 –> 2000-2012 4.9723597 23880.9245
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.7457460 14136.1557 28.208152 1990-1999 –> 2000-2012 4.9308205 23801.9366
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + phosphate_star 2.7674113 14177.8510 31.750508 1990-1999 –> 2000-2012 4.9531681 23841.0013
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.7621671 14168.8231 31.138313 1990-1999 –> 2000-2012 4.9479025 23833.9305
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 3.3148493 8083.9095 32.657798 2000-2012 –> 2013-2019 6.0644628 22226.2487
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3042832 8076.0636 32.744068 2000-2012 –> 2013-2019 6.0515609 22215.4615
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.2978683 8070.0705 32.004378 2000-2012 –> 2013-2019 6.0457481 22210.7427
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.2663069 8040.4138 37.467110 2000-2012 –> 2013-2019 6.0601563 22277.5444
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.2911505 8063.7820 33.261190 2000-2012 –> 2013-2019 6.0532372 22234.4357
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 3.3046795 8074.4335 31.424170 2000-2012 –> 2013-2019 6.0531124 22214.2756
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.2946985 8067.1049 31.554855 2000-2012 –> 2013-2019 6.0404446 22203.2606
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.2669990 8039.0671 37.333823 2000-2012 –> 2013-2019 6.0608699 22274.2424
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2637446 8037.9935 37.426960 2000-2012 –> 2013-2019 6.0494318 22258.1136
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.2965108 8066.8008 32.540164 2000-2012 –> 2013-2019 6.0586779 22235.6239
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.1936153 10890.9515 8.036190 1990-1999 –> 2000-2012 4.1743572 19171.6276
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2115502 10931.1275 8.468880 1990-1999 –> 2000-2012 4.1318806 19090.0131
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.1858384 10873.4280 7.424987 1990-1999 –> 2000-2012 4.1641133 19149.2038
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.1868435 10875.6962 8.583791 1990-1999 –> 2000-2012 4.0920792 19003.5524
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2194485 10948.7174 8.518833 1990-1999 –> 2000-2012 4.1468994 19122.1555
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2200573 10950.0706 8.511640 1990-1999 –> 2000-2012 4.1489866 19126.5236
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.2177921 10945.0336 8.776951 1990-1999 –> 2000-2012 4.1451778 19118.3390
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2201767 10950.3359 8.520844 1990-1999 –> 2000-2012 4.1491426 19126.8636
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 2.2207729 10949.6606 8.612052 1990-1999 –> 2000-2012 4.1497927 19124.2982
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.1886299 10879.7253 7.878228 1990-1999 –> 2000-2012 4.0825023 18984.0595
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 2.4060015 6232.0181 8.104133 2000-2012 –> 2013-2019 4.6173063 17160.5981
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.4007452 6228.0956 8.259744 2000-2012 –> 2013-2019 4.5943605 17119.0470
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4779038 6313.7598 8.329809 2000-2012 –> 2013-2019 4.6894540 17244.8873
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.3941382 6220.6327 8.284045 2000-2012 –> 2013-2019 4.5799766 17094.0607
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.4833521 6319.7076 8.863057 2000-2012 –> 2013-2019 4.6701956 17195.4038
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.4423749 6274.6507 8.778109 2000-2012 –> 2013-2019 4.6709356 17243.5837
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.4881147 6324.8960 8.398277 2000-2012 –> 2013-2019 4.7075632 17273.6134
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.4875364 6324.2665 8.391847 2000-2012 –> 2013-2019 4.7075937 17274.3371
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4864534 6323.0873 8.460259 2000-2012 –> 2013-2019 4.7042455 17268.1209
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.4266912 6257.2052 8.523746 2000-2012 –> 2013-2019 4.6153211 17136.9304
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.9503440 7182.7407 8.816710 1990-1999 –> 2000-2012 3.6196845 12625.7452
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8450332 6994.0133 9.467590 1990-1999 –> 2000-2012 3.4955627 12407.1509
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.8805362 7059.5025 9.014832 1990-1999 –> 2000-2012 3.5905887 12572.2634
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8511670 7005.4174 9.474435 1990-1999 –> 2000-2012 3.5039278 12422.3539
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8524675 7007.8305 9.472903 1990-1999 –> 2000-2012 3.5066422 12427.1714
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8567455 7015.7563 9.427843 1990-1999 –> 2000-2012 3.5194291 12449.5249
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8521019 7007.1522 9.467448 1990-1999 –> 2000-2012 3.5059176 12425.8830
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8641529 7027.4368 9.730065 1990-1999 –> 2000-2012 3.5331813 12469.9155
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.8612616 7024.1034 10.244079 1990-1999 –> 2000-2012 3.5232214 12456.6475
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.8032691 6915.3424 9.697645 1990-1999 –> 2000-2012 3.4987267 12404.0005
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0390556 4131.9137 9.747515 2000-2012 –> 2013-2019 3.8840888 11125.9270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.0456515 4138.1531 9.661353 2000-2012 –> 2013-2019 3.9261877 11197.6557
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0453970 4137.9128 9.764284 2000-2012 –> 2013-2019 3.8965640 11143.3302
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0456543 4138.1559 9.760669 2000-2012 –> 2013-2019 3.8981218 11145.9864
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0462976 4138.7633 9.594209 2000-2012 –> 2013-2019 3.9030431 11154.5196
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate 2.0493889 4139.6797 9.971375 2000-2012 –> 2013-2019 3.9415655 11218.3853
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0451030 4137.6351 9.755580 2000-2012 –> 2013-2019 3.8972049 11144.7873
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 2.0655686 4154.8728 9.967760 2000-2012 –> 2013-2019 3.9297216 11182.3096
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0868098 4176.6389 10.548800 2000-2012 –> 2013-2019 3.9480714 11200.7423
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.8033978 11010.0164
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.5209342 53790.5541 8.043162 1990-1999 –> 2000-2012 2.9352697 93883.6371
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.4320006 52025.9353 13.806990 1990-1999 –> 2000-2012 2.7374586 90298.6140
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3378772 50039.0036 16.225048 1990-1999 –> 2000-2012 2.5380772 86405.3919
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3377479 50036.1763 16.214317 1990-1999 –> 2000-2012 2.5369685 86384.0335
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3376755 50034.5935 16.199862 1990-1999 –> 2000-2012 2.5357904 86361.5099
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3331929 49936.3988 16.466261 1990-1999 –> 2000-2012 2.5212216 86071.4070
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3376755 50034.5945 16.199920 1990-1999 –> 2000-2012 2.5357814 86361.3388
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3376891 50032.8912 16.220724 1990-1999 –> 2000-2012 2.5363748 86368.6201
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.3692488 50717.0570 13.004762 1990-1999 –> 2000-2012 2.5338036 86399.0524
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.3940533 51242.2624 17.034744 1990-1999 –> 2000-2012 2.6640648 88892.0559
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.6305548 29791.8606 9.567306 2000-2012 –> 2013-2019 3.1514890 83582.4147
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.5693631 29192.8476 10.689506 2000-2012 –> 2013-2019 3.0013637 81218.7829
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4923380 28409.3615 12.644005 2000-2012 –> 2013-2019 2.8302151 78448.3652
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4925685 28411.7727 12.628703 2000-2012 –> 2013-2019 2.8303164 78447.9491
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4928857 28415.0892 12.611716 2000-2012 –> 2013-2019 2.8305612 78449.6827
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.4959833 28447.4412 13.045112 2000-2012 –> 2013-2019 2.8291763 78383.8400
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4928764 28414.9925 12.611567 2000-2012 –> 2013-2019 2.8305520 78449.5870
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.4961291 28446.9616 12.985788 2000-2012 –> 2013-2019 2.8338182 78479.8528
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.5858456 29357.9189 10.996188 2000-2012 –> 2013-2019 2.9550945 80074.9759
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5521124 29022.3323 13.774789 2000-2012 –> 2013-2019 2.9461657 80264.5947

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] 1990-1999 –> 2000-2012 2.1269611 815.9136
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 2.2788494 725.4437
Atlantic (26,26.5] 1990-1999 –> 2000-2012 7.1771148 10123.3375
Atlantic (26,26.5] 2000-2012 –> 2013-2019 7.1329441 8707.2940
Atlantic (26.5,26.75] 1990-1999 –> 2000-2012 6.4508230 12842.5136
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 6.7237281 10812.7140
Atlantic (26.75,27] 1990-1999 –> 2000-2012 3.8839325 17343.8083
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.7412763 16471.9812
Atlantic (27,27.25] 1990-1999 –> 2000-2012 3.8905908 14731.8671
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.3425088 13790.4474
Atlantic (27.25,27.5] 1990-1999 –> 2000-2012 4.7965579 16650.9938
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 5.7355467 15256.6135
Atlantic (27.5,27.75] 1990-1999 –> 2000-2012 4.7892023 22612.5392
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 5.4761666 20720.2684
Atlantic (27.75,27.85] 1990-1999 –> 2000-2012 3.2517791 6709.5903
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 3.5118636 6107.5876
Atlantic (27.85,27.95] 1990-1999 –> 2000-2012 6.1313165 8989.8463
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 6.8922447 8260.9621
Atlantic (27.95,28.05] 1990-1999 –> 2000-2012 8.9132196 12334.4921
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 8.4678398 10754.2329
Atlantic (28.05,28.1] 1990-1999 –> 2000-2012 1.9546789 3934.6757
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.1172997 3669.5081
Atlantic (28.1,28.15] 1990-1999 –> 2000-2012 1.3907700 3490.9309
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.6465572 3472.6691
Atlantic (28.15,28.2] 1990-1999 –> 2000-2012 1.1767348 4931.1147
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.3857340 4704.8579
Atlantic (28.2, Inf] 1990-1999 –> 2000-2012 0.7826651 4429.9957
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 0.8971811 4884.2479
Indo-Pacific (-Inf,26] 1990-1999 –> 2000-2012 12.8635947 60892.8767
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 12.2500002 52527.8364
Indo-Pacific (26,26.5] 1990-1999 –> 2000-2012 9.1474517 57685.7183
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 9.4302780 50219.2025
Indo-Pacific (26.5,26.75] 1990-1999 –> 2000-2012 8.0338434 45011.8130
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.3645326 39686.8984
Indo-Pacific (26.75,27] 1990-1999 –> 2000-2012 8.3278846 54472.2047
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 9.1618764 48157.0687
Indo-Pacific (27,27.25] 1990-1999 –> 2000-2012 8.1841562 64526.5160
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 9.5111948 58700.4221
Indo-Pacific (27.25,27.5] 1990-1999 –> 2000-2012 6.8237923 54416.0077
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 7.8286582 49514.0594
Indo-Pacific (27.5,27.75] 1990-1999 –> 2000-2012 5.7251605 51593.9531
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 7.0496647 47408.3951
Indo-Pacific (27.75,27.85] 1990-1999 –> 2000-2012 4.7611678 18808.7705
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.8573897 17718.7790
Indo-Pacific (27.85,27.95] 1990-1999 –> 2000-2012 4.9507929 23839.9450
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.0537702 22234.9949
Indo-Pacific (27.95,28.05] 1990-1999 –> 2000-2012 4.1384932 19101.6636
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.6556952 17201.0583
Indo-Pacific (28.05,28.1] 1990-1999 –> 2000-2012 3.5296882 12466.0656
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.9027967 11152.3660
Indo-Pacific (28.1, Inf] 1990-1999 –> 2000-2012 2.6074811 87742.5660
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 2.9038752 79580.0045

5.4 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.5 Plot selected model residuals

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

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

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

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

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

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

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

5.6 Cant coeffcients

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

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

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

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

5.7 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

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

6.1.1 All models

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

Version Author Date
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
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
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
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 - 1990-1999 --> 2000-2012
(-Inf,26] 8 1 7 8 10 4 8
(26,26.5] 7 4 3 6 10 8 9
(26.5,26.75] 9 1 7 7 5 10 7
(26.75,27] 9 1 7 7 5 10 7
(27,27.25] 8 3 5 8 8 10 6
(27.25,27.5] 9 5 4 6 8 9 7
(27.5,27.75] 7 3 5 7 10 8 8
(27.75,27.85] 7 3 5 7 10 8 8
(27.85,27.95] 10 1 9 8 6 4 6
(27.95,28.05] 8 4 4 9 8 6 9
(28.05,28.1] 8 2 7 8 9 6 8
(28.1,28.15] 7 3 6 8 9 6 9
(28.15,28.2] 10 10 0 6 6 6 6
(28.2, Inf] 9 10 0 6 8 6 5
total 116.00 51.00 69.00 101.00 112.00 101.00 103.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 9 2 6 7 10 5 8
(26,26.5] 6 4 4 6 10 8 9
(26.5,26.75] 9 1 7 7 5 10 7
(26.75,27] 9 1 7 7 5 10 7
(27,27.25] 7 3 5 8 9 10 5
(27.25,27.5] 9 7 3 5 7 10 5
(27.5,27.75] 7 4 4 7 10 9 7
(27.75,27.85] 7 3 5 7 10 8 8
(27.85,27.95] 9 2 8 8 7 5 7
(27.95,28.05] 8 4 4 9 8 6 9
(28.05,28.1] 8 3 6 8 9 7 8
(28.1,28.15] 8 1 7 8 10 4 8
(28.15,28.2] 9 10 0 6 7 6 7
(28.2, Inf] 8 10 0 6 9 6 5
total 113.00 55.00 66.00 99.00 116.00 104.00 100.00
Indo-Pacific - 1990-1999 --> 2000-2012
(-Inf,26] 8 2 6 8 10 5 8
(26,26.5] 9 2 6 8 5 9 8
(26.5,26.75] 7 4 5 9 7 8 8
(26.75,27] 10 1 9 8 6 4 6
(27,27.25] 8 3 7 8 4 8 8
(27.25,27.5] 7 2 6 8 8 10 6
(27.5,27.75] 7 3 4 6 10 10 7
(27.75,27.85] 9 1 8 8 5 8 8
(27.85,27.95] 6 10 0 7 5 5 10
(27.95,28.05] 7 4 4 8 9 9 8
(28.05,28.1] 7 3 5 7 8 10 8
(28.1, Inf] 7 3 5 8 8 10 7
total 92.00 38.00 65.00 93.00 85.00 96.00 92.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 3 6 8 10 5 8
(26,26.5] 7 3 5 8 7 9 9
(26.5,26.75] 7 6 4 9 5 7 8
(26.75,27] 10 1 9 8 6 4 6
(27,27.25] 8 1 9 8 4 8 8
(27.25,27.5] 7 2 6 8 8 10 6
(27.5,27.75] 8 2 5 6 9 10 7
(27.75,27.85] 6 3 6 10 8 8 6
(27.85,27.95] 8 7 3 7 5 6 10
(27.95,28.05] 9 5 4 8 9 7 7
(28.05,28.1] 6 3 5 7 8 10 9
(28.1, Inf] 7 3 5 8 8 10 7
total 90.00 39.00 67.00 95.00 87.00 94.00 91.00

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

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

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

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

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

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

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