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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 86

4 Fit all models

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

  • cstar_tref

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

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        # i_predictors <- unique(lm_all$predictors)[110]
        
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        # fit model
        i_lm_fit <- lm(as.formula(i_lm),
                       data = GLODAP_basin_era_slab)
        
        # find max predictor correlation
        i_cor_max <- GLODAP_basin_era_slab %>%
          select(!!!syms(str_split(i_predictors, " ",
                                   simplify = TRUE))) %>%
          correlate(quiet = TRUE) %>%
          select(-term) %>%
          abs() %>%
          max(na.rm = TRUE)
        
        # calculate root mean squared error
        i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                         length(i_lm_fit$residuals))
        
        # calculate maximum residual
        i_resid_max <- max(abs(i_lm_fit$residuals))
        
        # calculate Akaike information criterion aic
        i_aic <- AIC(i_lm_fit)
        
        # collect model coefficients and diagnostics
        coefficients <- tidy(i_lm_fit)
        
        coefficients <- coefficients %>%
          mutate(
            basin = i_basin,
            era = i_era,
            gamma_slab = i_gamma_slab,
            model = i_lm,
            rmse = i_rmse,
            aic = i_aic,
            resid_max = i_resid_max,
            n_predictors = i_n_predictors,
            na_predictor = anyNA(coefficients$estimate),
            cor_max = i_cor_max
          )
        
        if (exists("lm_all_fitted")) {
          lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
        }
        
        if (!exists("lm_all_fitted")) {
          lm_all_fitted <- coefficients
        }
      }
      
      
    }
  }
  
}

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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

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 1.3638071 423.5540 4.428336 1982-1999 –> 2000-2012 2.723109 1156.9843
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3636465 425.5260 4.492286 1982-1999 –> 2000-2012 2.719125 1159.7788
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.3802669 428.4093 4.554912 1982-1999 –> 2000-2012 2.741929 1164.5647
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 1.3768938 425.8269 4.458140 1982-1999 –> 2000-2012 2.739438 1160.2532
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.3418670 421.6941 4.378546 1982-1999 –> 2000-2012 2.700754 1156.9968
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.3804052 426.4331 4.491504 1982-1999 –> 2000-2012 2.743849 1161.1351
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3768691 427.8227 4.432941 1982-1999 –> 2000-2012 2.736255 1163.2788
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3802012 428.3979 4.418862 1982-1999 –> 2000-2012 2.740740 1164.2085
Atlantic (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.3836048 426.9841 4.486629 1982-1999 –> 2000-2012 2.748334 1162.0802
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3833849 428.9463 4.411118 1982-1999 –> 2000-2012 2.745299 1165.1792
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.4054885 282.9358 3.925112 2000-2012 –> 2013-2019 2.769296 706.4899
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2649628 268.7131 3.242942 2000-2012 –> 2013-2019 2.628609 694.2391
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.3142537 274.6000 3.523212 2000-2012 –> 2013-2019 2.694521 703.0092
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 1.4035054 282.7184 4.186686 2000-2012 –> 2013-2019 2.780399 708.5453
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.4035041 284.7182 4.193451 2000-2012 –> 2013-2019 2.745371 706.4123
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.4037130 282.7411 4.280335 2000-2012 –> 2013-2019 2.784118 709.1743
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2633116 268.5120 3.221646 2000-2012 –> 2013-2019 2.640181 696.3346
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2651521 268.7362 3.408627 2000-2012 –> 2013-2019 2.645353 697.1341
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2701060 269.3380 3.284607 2000-2012 –> 2013-2019 2.709167 707.6751
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2649436 268.7108 3.391987 2000-2012 –> 2013-2019 2.648328 697.6571
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7567118 5317.9613 11.279803 1982-1999 –> 2000-2012 7.204472 12568.7124
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 4.2871179 5571.3859 16.547735 1982-1999 –> 2000-2012 8.162628 13138.7154
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.7453486 5312.1026 10.984015 1982-1999 –> 2000-2012 7.302574 12647.9948
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.8451865 5362.9811 13.111290 1982-1999 –> 2000-2012 7.606322 12850.7094
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.8846187 5382.7131 14.106982 1982-1999 –> 2000-2012 7.402888 12688.6097
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9100023 5395.3096 14.882985 1982-1999 –> 2000-2012 7.438972 12709.4785
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.9579675 5418.8902 15.163354 1982-1999 –> 2000-2012 7.513493 12753.4805
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9142869 5397.4277 14.957152 1982-1999 –> 2000-2012 7.446957 12714.4516
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.0296785 5451.6170 12.865396 1982-1999 –> 2000-2012 7.825925 12962.6565
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.3614345 5606.6243 10.967474 1982-1999 –> 2000-2012 8.676557 13468.6433
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8977946 2910.0821 13.864669 2000-2012 –> 2013-2019 7.654506 8228.0434
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 4.0189440 2939.9759 16.400557 2000-2012 –> 2013-2019 8.306062 8511.3619
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.7731923 2876.2281 13.994670 2000-2012 –> 2013-2019 7.518541 8188.3306
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.6931521 2853.8864 13.618547 2000-2012 –> 2013-2019 7.538339 8216.8675
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0053973 2938.4577 14.291888 2000-2012 –> 2013-2019 7.890016 8321.1709
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.0199770 2942.2437 14.678723 2000-2012 –> 2013-2019 7.929979 8337.5533
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.9772328 2931.1049 14.115225 2000-2012 –> 2013-2019 7.935200 8349.9950
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.0184284 2941.8423 14.626626 2000-2012 –> 2013-2019 7.932715 8339.2699
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.0468524 2947.1868 15.413726 2000-2012 –> 2013-2019 8.076531 8398.8038
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.6368122 3090.9902 14.229776 2000-2012 –> 2013-2019 8.998247 8697.6145
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.2695342 6713.6305 16.411137 1982-1999 –> 2000-2012 6.994149 16266.9484
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2477241 6698.4026 17.244617 1982-1999 –> 2000-2012 6.969928 16251.4606
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2664754 6713.2213 17.801588 1982-1999 –> 2000-2012 7.038131 16312.3404
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2822523 6725.6236 18.117477 1982-1999 –> 2000-2012 7.081266 16349.9674
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.2872186 6729.5154 18.202245 1982-1999 –> 2000-2012 7.094433 16361.3841
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.2928828 6733.9468 15.425793 1982-1999 –> 2000-2012 6.972881 16247.2059
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.3158737 6749.8560 16.822597 1982-1999 –> 2000-2012 7.089411 16348.7163
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2234164 6679.0649 15.192030 1982-1999 –> 2000-2012 6.891504 16181.0107
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.3420106 6770.0657 17.020781 1982-1999 –> 2000-2012 7.145112 16396.1624
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.3497752 6776.0390 17.068015 1982-1999 –> 2000-2012 7.161808 16410.3216
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.9210824 3844.5814 13.963299 2000-2012 –> 2013-2019 7.190617 10558.2119
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.9805668 3865.2991 14.771824 2000-2012 –> 2013-2019 7.334109 10644.2309
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9050494 3840.9435 14.370372 2000-2012 –> 2013-2019 7.152774 10539.3461
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9335553 3850.9515 14.770189 2000-2012 –> 2013-2019 7.200031 10564.1728
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9571902 3859.1945 15.024032 2000-2012 –> 2013-2019 7.239443 10584.8182
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9628784 3861.1710 15.073773 2000-2012 –> 2013-2019 7.250097 10590.6864
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.9160496 3844.8142 12.924433 2000-2012 –> 2013-2019 7.208932 10578.7610
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.9820047 3865.7961 14.328966 2000-2012 –> 2013-2019 7.297878 10615.6521
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7802322 3796.2442 12.657137 2000-2012 –> 2013-2019 7.003648 10475.3091
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 4.0139305 3876.7842 14.529600 2000-2012 –> 2013-2019 7.355941 10646.8499
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.0520529 10234.8603 16.546299 1982-1999 –> 2000-2012 3.900577 22906.3466
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0307778 10187.0232 16.356716 1982-1999 –> 2000-2012 3.869831 22828.5309
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0961308 10338.4897 16.627186 1982-1999 –> 2000-2012 3.997142 23186.2949
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.1324465 10420.6287 16.802864 1982-1999 –> 2000-2012 4.071863 23392.9634
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.1473233 10453.8742 16.856430 1982-1999 –> 2000-2012 4.102424 23476.3546
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.1327765 10421.3688 13.486012 1982-1999 –> 2000-2012 4.067791 23379.5561
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.1635416 10487.8559 17.208490 1982-1999 –> 2000-2012 4.101592 23453.8028
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.9134968 9902.5586 17.526333 1982-1999 –> 2000-2012 3.712515 22407.0347
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.2082105 10585.5806 17.419902 1982-1999 –> 2000-2012 4.192379 23697.9480
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.2266976 10625.4488 17.485874 1982-1999 –> 2000-2012 4.229829 23797.0356
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.4668773 5997.8366 14.299870 2000-2012 –> 2013-2019 4.518930 16232.6969
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.3796037 5904.9793 12.287907 2000-2012 –> 2013-2019 4.616319 16551.8945
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3401913 5863.9234 12.961236 2000-2012 –> 2013-2019 4.370969 16050.9466
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3602200 5885.8936 12.869793 2000-2012 –> 2013-2019 4.456351 16224.3832
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3851259 5912.9550 13.000580 2000-2012 –> 2013-2019 4.517572 16333.5837
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3942897 5922.8408 13.032008 2000-2012 –> 2013-2019 4.541613 16376.7150
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5351776 6070.2434 13.571196 2000-2012 –> 2013-2019 4.667954 16491.6122
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.5586984 6092.0512 14.910724 2000-2012 –> 2013-2019 4.722240 16579.9071
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3340210 5857.1171 13.113752 2000-2012 –> 2013-2019 4.247518 15759.6757
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.5945252 6127.8978 15.098066 2000-2012 –> 2013-2019 4.802736 16713.4784
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.0662757 9051.7083 11.200195 1982-1999 –> 2000-2012 3.980788 20839.0491
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9842661 8879.0467 14.465250 1982-1999 –> 2000-2012 3.495285 19317.2141
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9786940 8869.1966 14.757994 1982-1999 –> 2000-2012 3.369245 18836.4490
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.1166881 9151.2860 13.286504 1982-1999 –> 2000-2012 4.031491 20937.4925
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9825436 8877.3872 14.626601 1982-1999 –> 2000-2012 3.394928 18933.3132
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0044401 8923.6740 14.606375 1982-1999 –> 2000-2012 3.451219 19116.5524
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.1479331 9215.0355 18.377077 1982-1999 –> 2000-2012 3.972169 20727.4426
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0094835 8934.2638 14.601613 1982-1999 –> 2000-2012 3.467069 19169.5001
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0853181 9090.3658 16.003461 1982-1999 –> 2000-2012 3.774475 20164.8798
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3456433 9586.0935 17.232091 1982-1999 –> 2000-2012 4.046566 20700.1171
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2411439 5040.1385 10.434740 2000-2012 –> 2013-2019 4.307420 14091.8468
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.3514230 5146.5999 13.224986 2000-2012 –> 2013-2019 4.335689 14025.6466
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3228362 5120.9806 12.582330 2000-2012 –> 2013-2019 4.301530 13990.1772
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.3346627 5130.4478 12.225810 2000-2012 –> 2013-2019 4.451351 14281.7338
Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.4384549 5228.6644 13.532125 2000-2012 –> 2013-2019 4.652237 14568.9468
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.3474087 5142.7418 12.240071 2000-2012 –> 2013-2019 4.507538 14379.6370
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3124387 5110.8507 12.461098 2000-2012 –> 2013-2019 4.294982 13988.2379
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3286786 5126.6528 12.485683 2000-2012 –> 2013-2019 4.333119 14050.3268
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4380322 5230.2730 13.603929 2000-2012 –> 2013-2019 4.585965 14445.3085
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3319866 5129.8582 12.480758 2000-2012 –> 2013-2019 4.341470 14064.1220
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 2.7748677 10292.2283 21.866997 1982-1999 –> 2000-2012 5.128719 23831.3260
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7194592 10209.2318 20.193673 1982-1999 –> 2000-2012 4.659916 22601.9836
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.4399738 9752.2414 12.923164 1982-1999 –> 2000-2012 4.257805 21756.8419
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0557912 10700.6074 17.998443 1982-1999 –> 2000-2012 5.284299 23916.3380
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7336144 10231.1095 20.764304 1982-1999 –> 2000-2012 4.716381 22752.1157
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8068117 10342.4624 21.875936 1982-1999 –> 2000-2012 4.889281 23155.1852
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.8144822 10353.9628 21.653393 1982-1999 –> 2000-2012 4.984915 23412.6833
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8081585 10344.4839 21.857250 1982-1999 –> 2000-2012 4.902513 23191.0440
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.5414073 9921.8806 12.939402 1982-1999 –> 2000-2012 4.364414 21941.3840
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5321659 9908.5292 13.543594 1982-1999 –> 2000-2012 4.270930 21648.7150
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2.9634900 5859.3846 14.933618 2000-2012 –> 2013-2019 5.773995 16205.3888
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.9570606 5856.3154 13.680638 2000-2012 –> 2013-2019 5.767528 16204.2632
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.1680106 6015.1468 21.730290 2000-2012 –> 2013-2019 5.942878 16307.3751
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1656733 6015.4242 21.384627 2000-2012 –> 2013-2019 5.885132 16224.6560
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8514104 5771.3999 12.903588 2000-2012 –> 2013-2019 5.291384 15523.6412
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1678233 6017.0089 21.811035 2000-2012 –> 2013-2019 5.901438 16248.1184
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.2043835 6043.7916 21.740986 2000-2012 –> 2013-2019 6.018866 16397.7544
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.2368630 6067.3298 22.450579 2000-2012 –> 2013-2019 6.045021 16411.8137
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 3.1572696 6007.2201 12.406833 2000-2012 –> 2013-2019 5.698677 15929.1006
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.0245112 5908.9558 13.596084 2000-2012 –> 2013-2019 5.556677 15817.4850
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.3671836 11926.0603 13.046764 1982-1999 –> 2000-2012 4.657868 28751.5240
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2564665 11677.8265 13.218924 1982-1999 –> 2000-2012 4.148666 27075.7831
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.5055160 12224.7512 17.070990 1982-1999 –> 2000-2012 4.598354 28376.5499
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 2.7214397 12654.6001 13.104243 1982-1999 –> 2000-2012 4.842449 28904.4127
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.6999272 12615.1413 15.322826 1982-1999 –> 2000-2012 4.820912 28866.8673
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2622962 11691.3056 13.368912 1982-1999 –> 2000-2012 4.123942 26967.4920
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3028593 11784.1425 14.796203 1982-1999 –> 2000-2012 4.194426 27179.5955
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3080520 11795.9088 14.833383 1982-1999 –> 2000-2012 4.199124 27189.4039
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3012265 11780.4372 14.725969 1982-1999 –> 2000-2012 4.193634 27179.2149
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.3301533 11843.6944 15.840438 1982-1999 –> 2000-2012 4.230388 27271.3456
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.7664153 7233.7590 13.666993 2000-2012 –> 2013-2019 5.133599 19159.8193
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7663538 7235.6932 13.669800 2000-2012 –> 2013-2019 5.022820 18913.5197
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.9523559 7428.5704 17.076773 2000-2012 –> 2013-2019 5.457872 19653.3217
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.1895217 7657.5914 14.698465 2000-2012 –> 2013-2019 5.839589 20175.3588
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1667283 7636.3335 12.829516 2000-2012 –> 2013-2019 5.866656 20251.4748
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7659640 7235.2755 13.619138 2000-2012 –> 2013-2019 5.028260 18926.5811
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8163371 7288.7695 14.784484 2000-2012 –> 2013-2019 5.119196 19072.9120
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.8381119 7311.5979 14.741678 2000-2012 –> 2013-2019 5.146164 19107.5067
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8104159 7282.5313 14.632185 2000-2012 –> 2013-2019 5.111642 19062.9685
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.0247106 7498.3347 17.680764 2000-2012 –> 2013-2019 5.354864 19342.0292
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2.3269393 4597.8355 13.700322 1982-1999 –> 2000-2012 4.465758 11068.9612
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2376327 4520.5473 14.244418 1982-1999 –> 2000-2012 4.243681 10803.7200
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.0512859 4344.3833 12.282650 1982-1999 –> 2000-2012 3.958593 10477.9493
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.4567837 4709.8457 15.279196 1982-1999 –> 2000-2012 4.719161 11349.4367
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.3278605 4600.6374 12.502216 1982-1999 –> 2000-2012 4.310713 10849.3371
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2618285 4542.3371 14.254190 1982-1999 –> 2000-2012 4.299850 10872.3778
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2975250 4574.0620 14.394687 1982-1999 –> 2000-2012 4.381435 10970.1007
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.2993491 4575.6699 14.408689 1982-1999 –> 2000-2012 4.382379 10970.4561
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2969274 4573.5350 14.390915 1982-1999 –> 2000-2012 4.381040 10969.8615
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 2.3018314 4575.8560 14.418423 1982-1999 –> 2000-2012 4.386277 10970.6557
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2.3135210 2441.2950 13.763314 2000-2012 –> 2013-2019 4.640460 7039.1305
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2872186 2430.9919 14.029553 2000-2012 –> 2013-2019 4.524851 6951.5392
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.0553387 2315.9720 11.513516 2000-2012 –> 2013-2019 4.106624 6660.3553
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.5156348 2533.4149 14.923059 2000-2012 –> 2013-2019 4.972418 7243.2607
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.1931296 2385.7925 11.649410 2000-2012 –> 2013-2019 4.520990 6986.4298
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3052001 2439.4181 13.943796 2000-2012 –> 2013-2019 4.567029 6981.7551
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3577749 2463.6828 14.076588 2000-2012 –> 2013-2019 4.655300 7037.7448
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3653442 2467.1316 14.123779 2000-2012 –> 2013-2019 4.664693 7042.8016
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3546246 2462.2441 14.066596 2000-2012 –> 2013-2019 4.651552 7035.7791
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 2.4053833 2483.1930 14.176357 2000-2012 –> 2013-2019 4.707215 7059.0490
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.5875856 5075.8730 23.955245 1982-1999 –> 2000-2012 7.278682 12412.3021
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5251038 5044.8773 23.758786 1982-1999 –> 2000-2012 7.213819 12381.5719
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.4244126 4990.4530 22.438332 1982-1999 –> 2000-2012 7.054172 12283.8391
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.4302747 4993.6652 23.050099 1982-1999 –> 2000-2012 7.073598 12297.0770
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5718884 5069.6379 23.865344 1982-1999 –> 2000-2012 7.289604 12427.3826
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6100650 5089.6036 23.984860 1982-1999 –> 2000-2012 7.356661 12468.1489
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6132170 5091.2425 23.955652 1982-1999 –> 2000-2012 7.364726 12473.3106
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6087538 5088.9213 23.994372 1982-1999 –> 2000-2012 7.354032 12466.5210
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.5608554 5063.8281 23.030139 1982-1999 –> 2000-2012 7.236467 12390.9573
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.6134532 5091.3653 24.652406 1982-1999 –> 2000-2012 7.360358 12470.1326
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.6117143 2855.6834 23.823302 2000-2012 –> 2013-2019 7.199300 7931.5563
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.4637857 2813.6883 23.648444 2000-2012 –> 2013-2019 6.988889 7858.5656
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.1464023 2712.5885 21.948199 2000-2012 –> 2013-2019 6.570815 7703.0415
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.3824554 2788.6925 22.714229 2000-2012 –> 2013-2019 6.812730 7782.3577
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5062398 2826.5038 23.760421 2000-2012 –> 2013-2019 7.078128 7896.1417
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5405806 2836.7572 23.883956 2000-2012 –> 2013-2019 7.150646 7926.3607
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.5516921 2840.0535 23.829161 2000-2012 –> 2013-2019 7.164909 7931.2961
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5378581 2835.9479 23.893544 2000-2012 –> 2013-2019 7.146612 7924.8693
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 3.5640408 2841.7048 23.573128 2000-2012 –> 2013-2019 7.179165 7931.9383
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.1337195 2708.3394 21.595120 2000-2012 –> 2013-2019 6.694575 7772.1675
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.8983014 6456.8333 22.722057 1982-1999 –> 2000-2012 7.975557 15678.2555
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.6297990 6855.4657 24.267333 1982-1999 –> 2000-2012 9.492226 16651.0179
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6125594 6846.8183 24.052052 1982-1999 –> 2000-2012 9.470398 16639.2932
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6056180 6843.3273 23.682817 1982-1999 –> 2000-2012 9.450530 16627.1156
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.6186001 6849.8520 23.156903 1982-1999 –> 2000-2012 9.438978 16617.0902
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 4.6303347 6853.7339 24.099776 1982-1999 –> 2000-2012 9.495750 16649.2894
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6060201 6843.5297 23.698438 1982-1999 –> 2000-2012 9.450695 16627.1582
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 4.6186140 6847.8589 23.173831 1982-1999 –> 2000-2012 9.464658 16630.4088
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.1065647 6575.4758 23.238577 1982-1999 –> 2000-2012 8.327109 15907.4984
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4777408 6192.2150 28.679119 1982-1999 –> 2000-2012 6.994207 14931.2635
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4837204 3342.1065 21.518774 2000-2012 –> 2013-2019 9.108486 10195.0510
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3440595 3007.7814 21.918024 2000-2012 –> 2013-2019 7.242361 9464.6147
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.4988775 3345.9538 22.107766 2000-2012 –> 2013-2019 9.128676 10201.4195
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.4861134 3342.7148 21.128605 2000-2012 –> 2013-2019 9.098673 10189.5330
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.4895084 3343.5772 20.870932 2000-2012 –> 2013-2019 9.095126 10186.9045
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.5047084 3347.4303 20.918579 2000-2012 –> 2013-2019 9.123309 10197.2823
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.4891830 3343.4946 20.891596 2000-2012 –> 2013-2019 9.095203 10187.0242
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 4.5050700 3345.5218 20.913286 2000-2012 –> 2013-2019 9.123684 10193.3808
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.6265603 3098.2344 21.810812 2000-2012 –> 2013-2019 7.733125 9673.7102
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5648885 2705.3730 20.012063 2000-2012 –> 2013-2019 6.042629 8897.5881
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.6632164 2610.5286 11.655332 1982-1999 –> 2000-2012 3.078260 5949.8592
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6589210 2609.0428 11.877041 1982-1999 –> 2000-2012 3.035501 5898.4540
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6491019 2601.0403 10.298196 1982-1999 –> 2000-2012 3.095118 5983.1625
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 1.6832481 2626.6668 11.556435 1982-1999 –> 2000-2012 3.117607 5991.5395
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6063717 2565.6515 12.109130 1982-1999 –> 2000-2012 2.971185 5838.8888
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6818211 2627.5236 11.684236 1982-1999 –> 2000-2012 3.088392 5957.5396
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6888197 2633.1214 11.714338 1982-1999 –> 2000-2012 3.104061 5974.7152
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4404837 2418.7208 8.864592 1982-1999 –> 2000-2012 2.852930 5756.5894
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.6208928 2575.7823 10.576720 1982-1999 –> 2000-2012 3.068547 5958.0372
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.4859172 2460.5806 12.354607 1982-1999 –> 2000-2012 2.739905 5574.2633
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.3166223 1214.7458 4.490277 2000-2012 –> 2013-2019 2.979839 3825.2744
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3165960 1216.7316 4.510753 2000-2012 –> 2013-2019 2.975517 3825.7744
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.3141734 1215.4239 4.561225 2000-2012 –> 2013-2019 2.963275 3816.4643
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 1.3535238 1234.3715 4.423502 2000-2012 –> 2013-2019 3.036772 3861.0383
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1491925 1120.1786 5.174420 2000-2012 –> 2013-2019 2.755564 3685.8301
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3522050 1235.6793 4.570310 2000-2012 –> 2013-2019 3.034026 3863.2029
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.3534223 1234.3182 5.113225 2000-2012 –> 2013-2019 3.006991 3837.0049
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.2376771 1172.8441 4.040547 2000-2012 –> 2013-2019 2.678161 3591.5649
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.2345099 1169.0249 5.717674 2000-2012 –> 2013-2019 2.855403 3744.8072
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0701085 1069.5560 4.416062 2000-2012 –> 2013-2019 2.556026 3530.1366
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.2054810 3207.5762 13.146884 1982-1999 –> 2000-2012 2.350742 7078.0220
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1951979 3192.5281 12.949589 1982-1999 –> 2000-2012 2.319150 7018.3584
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.2147827 3224.8725 12.498606 1982-1999 –> 2000-2012 2.363638 7105.0958
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 1.2166545 3225.9365 12.819056 1982-1999 –> 2000-2012 2.364738 7102.4921
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1804547 3167.8281 14.741264 1982-1999 –> 2000-2012 2.324805 7038.2990
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2100041 3217.0290 12.670744 1982-1999 –> 2000-2012 2.342613 7061.9024
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2180782 3230.2636 12.573733 1982-1999 –> 2000-2012 2.357471 7089.9593
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2127110 3221.4758 12.657750 1982-1999 –> 2000-2012 2.348589 7073.5029
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.1842484 3174.2132 8.362799 1982-1999 –> 2000-2012 2.265219 6903.2654
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1838442 3173.5339 11.935132 1982-1999 –> 2000-2012 2.282197 6942.1797
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.0461662 1508.2804 3.330412 2000-2012 –> 2013-2019 2.251647 4715.8566
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0353966 1499.7049 3.544471 2000-2012 –> 2013-2019 2.230595 4692.2331
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0226921 1487.0873 3.437684 2000-2012 –> 2013-2019 2.237475 4711.9598
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8675652 1318.9652 2.955601 2000-2012 –> 2013-2019 2.048020 4486.7933
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0629535 1526.5496 3.624226 2000-2012 –> 2013-2019 2.272958 4743.5786
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0741453 1537.2540 3.686091 2000-2012 –> 2013-2019 2.292223 4767.5176
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0666800 1530.1263 3.647155 2000-2012 –> 2013-2019 2.279391 4751.6021
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.0318436 1496.1919 3.246074 2000-2012 –> 2013-2019 2.216092 4670.4052
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.0156322 1478.0077 4.204638 2000-2012 –> 2013-2019 2.279493 4779.6954
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.9377581 1398.4781 3.617930 2000-2012 –> 2013-2019 2.121602 4572.0120
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.7587280 3767.3281 3.649018 1982-1999 –> 2000-2012 1.590211 9336.5682
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7483981 3724.2827 2.999117 1982-1999 –> 2000-2012 1.578510 9288.0966
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7836062 3875.3451 3.727273 1982-1999 –> 2000-2012 1.605369 9393.6475
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.7660702 3800.9738 3.238723 1982-1999 –> 2000-2012 1.589333 9327.4876
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 0.7762569 3842.3809 3.632630 1982-1999 –> 2000-2012 1.615825 9455.1858
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.6018954 3008.4229 3.270218 1982-1999 –> 2000-2012 1.402201 8407.6140
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7639078 3791.6854 2.949356 1982-1999 –> 2000-2012 1.602797 9402.8523
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.7693316 3814.9337 2.992923 1982-1999 –> 2000-2012 1.612729 9450.2301
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7591161 3771.0088 3.261995 1982-1999 –> 2000-2012 1.577332 9269.8375
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7659170 3800.3169 2.966739 1982-1999 –> 2000-2012 1.606929 9422.8594
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.1323869 2536.7836 10.625789 2000-2012 –> 2013-2019 1.891115 6304.1117
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0597136 2430.2693 7.777588 2000-2012 –> 2013-2019 1.808112 6154.5519
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0390358 2398.0311 7.912250 2000-2012 –> 2013-2019 1.822642 6273.3761
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.0479086 2411.9422 7.898168 2000-2012 –> 2013-2019 1.813979 6212.9161
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1266311 2530.4467 9.778234 2000-2012 –> 2013-2019 1.728526 5538.8696
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0667696 2441.1263 7.678375 2000-2012 –> 2013-2019 1.830677 6232.8118
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0710867 2447.7336 7.618282 2000-2012 –> 2013-2019 1.840418 6262.6673
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.0491606 2411.8957 8.210980 2000-2012 –> 2013-2019 1.861914 6405.2483
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0374822 2395.5830 7.825912 2000-2012 –> 2013-2019 1.796598 6166.5918
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0684090 2443.6386 7.638861 2000-2012 –> 2013-2019 1.834326 6243.9555
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.7904733 6854.4517 12.281652 1982-1999 –> 2000-2012 1.439763 14626.7345
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.6906972 6072.5537 12.349629 1982-1999 –> 2000-2012 1.235057 12457.0094
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.6893523 6063.2885 12.453906 1982-1999 –> 2000-2012 1.232371 12430.3580
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.6838590 6017.0446 12.112233 1982-1999 –> 2000-2012 1.225903 12369.9927
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.6500212 5725.7281 12.266672 1982-1999 –> 2000-2012 1.169361 11744.2627
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.6892045 6062.0492 12.541716 1982-1999 –> 2000-2012 1.231254 12415.0645
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6890397 6062.6671 12.528305 1982-1999 –> 2000-2012 1.231083 12417.6010
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6791008 5978.6870 12.405488 1982-1999 –> 2000-2012 1.215724 12254.6140
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 0.8458863 7246.0645 13.210729 1982-1999 –> 2000-2012 1.511635 15215.1637
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7863048 6825.8907 11.841623 1982-1999 –> 2000-2012 1.432405 14561.4566
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1.0674018 4829.6028 10.065597 2000-2012 –> 2013-2019 1.857875 11684.0546
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.9861172 4570.4952 11.220744 2000-2012 –> 2013-2019 1.676814 10643.0489
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.9850239 4568.8944 11.321148 2000-2012 –> 2013-2019 1.674376 10632.1829
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.9737831 4531.6389 10.811845 2000-2012 –> 2013-2019 1.657642 10548.6835
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.9376566 4410.9245 10.865441 2000-2012 –> 2013-2019 1.587678 10136.6526
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.9842873 4566.4660 11.026312 2000-2012 –> 2013-2019 1.673492 10628.5152
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.9771743 4544.9235 11.022059 2000-2012 –> 2013-2019 1.666214 10607.5906
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.9734802 4532.6291 10.746353 2000-2012 –> 2013-2019 1.652581 10511.3161
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0841116 4882.0242 9.779464 2000-2012 –> 2013-2019 1.920408 12064.1822
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.0384751 4742.4221 8.952129 2000-2012 –> 2013-2019 1.824780 11568.3128
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.0827443 31295.0754 63.699478 1982-1999 –> 2000-2012 12.287201 74721.0444
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.9597628 31098.9093 61.644333 1982-1999 –> 2000-2012 12.056189 74291.8227
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.8522631 30922.3112 37.608399 1982-1999 –> 2000-2012 11.855382 73908.8253
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.1872272 31460.3108 68.856572 1982-1999 –> 2000-2012 12.510336 75139.7769
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6.0827349 31297.0603 63.634067 1982-1999 –> 2000-2012 12.286586 74723.7245
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.0459329 31238.1827 66.868959 1982-1999 –> 2000-2012 12.251034 74667.5431
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.0948145 31316.3084 67.286032 1982-1999 –> 2000-2012 12.354434 74862.7296
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 6.0703347 31275.2618 56.038533 1982-1999 –> 2000-2012 12.525821 75231.9963
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6.0597570 31260.3411 57.850092 1982-1999 –> 2000-2012 12.514604 75217.7490
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.0993660 31323.5508 67.355885 1982-1999 –> 2000-2012 12.370620 74894.8224
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.0459530 17056.2633 24.303239 2000-2012 –> 2013-2019 12.128697 48351.3386
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.9582427 16980.8700 20.414434 2000-2012 –> 2013-2019 11.918005 48079.7793
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.7921940 16831.1815 30.262018 2000-2012 –> 2013-2019 11.644457 47753.4928
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6.0455416 17057.9029 24.024935 2000-2012 –> 2013-2019 12.128277 48354.9632
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.0319188 17045.9556 19.228459 2000-2012 –> 2013-2019 12.077852 48284.1383
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.0777134 17086.0112 19.469646 2000-2012 –> 2013-2019 12.172528 48402.3195
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.9569533 16977.7238 20.689973 2000-2012 –> 2013-2019 12.027288 48252.9856
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.9523926 16975.6675 20.584856 2000-2012 –> 2013-2019 12.012150 48236.0086
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.0779893 17086.2516 19.495619 2000-2012 –> 2013-2019 12.177355 48409.8025
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 6.0780342 17084.2907 19.509993 2000-2012 –> 2013-2019 12.206489 48452.0013
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0629686 29909.3939 46.323507 1982-1999 –> 2000-2012 8.060625 72245.5151
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.5671364 31149.0686 46.462304 1982-1999 –> 2000-2012 8.901053 74703.9084
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1211188 30060.0000 42.447059 1982-1999 –> 2000-2012 8.155467 72533.9901
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.1878990 30230.3576 40.578627 1982-1999 –> 2000-2012 8.285927 72940.6740
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1968155 30252.8978 40.375269 1982-1999 –> 2000-2012 8.308664 73014.0198
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.3217162 30563.7007 46.458781 1982-1999 –> 2000-2012 8.556819 73770.5049
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.4523960 30877.4129 42.143795 1982-1999 –> 2000-2012 8.881087 74756.6850
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4508038 30875.6224 42.584531 1982-1999 –> 2000-2012 8.879449 74756.7405
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.4738343 30928.3197 40.692629 1982-1999 –> 2000-2012 8.914245 74847.4733
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.4787575 30939.9759 40.476747 1982-1999 –> 2000-2012 8.924642 74877.7186
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5045916 16784.2691 44.254452 2000-2012 –> 2013-2019 8.977780 47711.0583
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.1154537 16268.0321 45.412396 2000-2012 –> 2013-2019 8.178422 46177.4260
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2541266 16458.1255 42.535371 2000-2012 –> 2013-2019 8.375246 46518.1255
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.3465293 16581.3818 41.015079 2000-2012 –> 2013-2019 8.534428 46811.7393
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.4704359 16742.6107 39.630770 2000-2012 –> 2013-2019 8.965110 47722.1825
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.3534199 16590.4679 40.891244 2000-2012 –> 2013-2019 8.550235 46843.3657
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.4756535 16747.3014 39.120899 2000-2012 –> 2013-2019 8.993306 47778.9161
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.3440132 16578.0603 48.718055 2000-2012 –> 2013-2019 8.665729 47141.7610
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.5206167 16804.6388 42.710578 2000-2012 –> 2013-2019 8.973013 47682.0517
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5019303 16782.8793 43.925604 2000-2012 –> 2013-2019 8.952734 47658.5017
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.8940469 25334.2236 23.331374 1982-1999 –> 2000-2012 7.571189 59430.4026
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6193934 24669.6027 28.013744 1982-1999 –> 2000-2012 7.106931 58104.6539
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.6857833 24835.2645 37.320074 1982-1999 –> 2000-2012 7.284766 58664.3258
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.8224462 25167.0825 31.461194 1982-1999 –> 2000-2012 7.492502 59241.0960
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7918919 25093.9381 27.641917 1982-1999 –> 2000-2012 7.396059 58941.0313
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.8895152 25325.6110 26.922089 1982-1999 –> 2000-2012 7.572282 59442.9352
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 3.6943191 24854.3469 34.951688 1982-1999 –> 2000-2012 7.428271 59142.5651
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6516050 24750.3560 32.789868 1982-1999 –> 2000-2012 7.378810 59017.9209
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.7399006 24968.1098 37.869885 1982-1999 –> 2000-2012 7.548391 59505.9139
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.6655897 24785.1937 31.326197 1982-1999 –> 2000-2012 7.384225 59023.9247
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8303905 13414.7644 38.057742 2000-2012 –> 2013-2019 7.449784 38084.3672
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.8599695 13452.0886 49.142876 2000-2012 –> 2013-2019 7.545753 38287.3531
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0675284 13706.2182 35.798679 2000-2012 –> 2013-2019 7.859420 38800.1563
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 3.8648889 13456.2684 46.750758 2000-2012 –> 2013-2019 7.559208 38310.6152
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.7668606 13333.6156 43.730929 2000-2012 –> 2013-2019 7.418466 38083.9716
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.9601362 13574.3926 48.305893 2000-2012 –> 2013-2019 7.783389 38741.3985
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.7965235 13371.6740 51.333436 2000-2012 –> 2013-2019 7.536424 38339.7838
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8283984 13412.2404 34.438882 2000-2012 –> 2013-2019 7.493988 38197.4341
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate_star 3.9690332 13583.2811 45.016576 2000-2012 –> 2013-2019 7.799212 38764.7823
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.8731544 13466.6339 41.993172 2000-2012 –> 2013-2019 7.654971 38534.3220
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 4.2105634 32311.6976 28.328001 1982-1999 –> 2000-2012 7.943301 74468.2791
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.2056535 32300.5039 28.305332 1982-1999 –> 2000-2012 7.937631 74455.9506
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.8827129 31397.0448 17.846383 1982-1999 –> 2000-2012 7.282737 72117.5208
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8774576 31383.7287 17.824925 1982-1999 –> 2000-2012 7.275613 72097.7369
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.2006015 32288.9121 27.887562 1982-1999 –> 2000-2012 7.897481 74300.8040
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 4.1908988 32260.7623 27.098889 1982-1999 –> 2000-2012 7.864911 74175.0763
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.7487752 31002.0781 24.091210 1982-1999 –> 2000-2012 7.068960 71358.5234
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1836999 32243.3212 26.984723 1982-1999 –> 2000-2012 7.855568 74150.6431
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.8424887 31279.2848 23.927193 1982-1999 –> 2000-2012 7.287915 72204.0969
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8300983 31244.7622 23.031718 1982-1999 –> 2000-2012 7.270094 72147.2751
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 4.6365584 18123.1555 22.445625 2000-2012 –> 2013-2019 8.847122 50434.8531
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.6365461 18125.1392 22.445860 2000-2012 –> 2013-2019 8.842200 50425.6431
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3587345 17746.1319 15.099599 2000-2012 –> 2013-2019 8.241447 49143.1767
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3584785 17747.7716 15.133344 2000-2012 –> 2013-2019 8.235936 49131.5003
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.6324683 18121.7421 23.521555 2000-2012 –> 2013-2019 8.833070 50410.6542
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 4.6841925 18187.8521 22.203418 2000-2012 –> 2013-2019 8.875091 50448.6144
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.1723406 17480.0479 23.858773 2000-2012 –> 2013-2019 7.921116 48482.1260
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6832588 18188.6293 22.148242 2000-2012 –> 2013-2019 8.866959 50431.9505
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.2284612 17560.0042 24.050056 2000-2012 –> 2013-2019 8.070950 48839.2890
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.2262319 17558.7693 23.791184 2000-2012 –> 2013-2019 8.056330 48803.5315
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.3178625 38338.5969 36.329879 1982-1999 –> 2000-2012 7.962716 87664.8134
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.5230978 38956.2042 50.442432 1982-1999 –> 2000-2012 8.415675 89477.9806
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.2611312 38164.6935 37.882475 1982-1999 –> 2000-2012 7.842308 87172.4534
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.2717364 38197.7538 42.343533 1982-1999 –> 2000-2012 7.808409 86978.1485
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.4913765 38864.6003 36.001209 1982-1999 –> 2000-2012 8.252477 88763.6484
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.5347684 38992.4769 69.109012 1982-1999 –> 2000-2012 8.442846 89588.5137
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.0966779 37641.2281 47.224967 1982-1999 –> 2000-2012 7.695853 86740.1400
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.3183348 38340.0518 41.004367 1982-1999 –> 2000-2012 7.924885 87474.1855
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 4.4960118 38876.3193 35.231291 1982-1999 –> 2000-2012 8.265906 88815.8296
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8992425 36984.2870 24.500168 1982-1999 –> 2000-2012 7.123581 84083.5998
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.8663629 21489.1980 35.250168 2000-2012 –> 2013-2019 9.184225 59827.7948
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.1980963 21961.1050 50.466377 2000-2012 –> 2013-2019 9.721194 60917.3092
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.8390818 21450.9681 36.431032 2000-2012 –> 2013-2019 9.100213 59615.6616
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.7536157 21323.4521 40.681849 2000-2012 –> 2013-2019 9.025352 59521.2059
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.0566579 21765.6947 32.886980 2000-2012 –> 2013-2019 9.548034 60630.2950
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.1914892 21954.0035 31.281333 2000-2012 –> 2013-2019 9.828005 61241.5968
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.7119468 21260.4480 42.537766 2000-2012 –> 2013-2019 8.808625 58901.6762
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.7726184 21350.0014 39.793893 2000-2012 –> 2013-2019 9.090953 59690.0532
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 5.0579142 21765.4723 33.272085 2000-2012 –> 2013-2019 9.553926 60641.7916
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.2831262 20577.6368 24.152909 2000-2012 –> 2013-2019 8.182369 57561.9238
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4578995 31987.7094 30.000504 1982-1999 –> 2000-2012 6.169142 72374.0134
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.7846889 33071.3247 28.111146 1982-1999 –> 2000-2012 6.629047 74256.4489
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6987319 32797.1352 29.510199 1982-1999 –> 2000-2012 6.508047 73777.1310
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.6987588 32795.2226 29.484748 1982-1999 –> 2000-2012 6.524752 73872.1217
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.7134377 32842.8388 28.813187 1982-1999 –> 2000-2012 6.524091 73828.7949
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6561601 32657.9613 29.839518 1982-1999 –> 2000-2012 6.446164 73522.7147
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6921694 32775.7860 29.888498 1982-1999 –> 2000-2012 6.512567 73821.5644
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6732463 32714.0125 29.975838 1982-1999 –> 2000-2012 6.483502 73699.6070
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.6829818 32745.8332 30.108231 1982-1999 –> 2000-2012 6.521231 73897.0313
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2992756 31423.1757 30.403582 1982-1999 –> 2000-2012 5.928470 71296.0447
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.9433761 17580.4015 24.301859 2000-2012 –> 2013-2019 7.401276 49568.1109
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.2538497 18057.4058 24.667659 2000-2012 –> 2013-2019 7.952582 50854.5410
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 4.2558291 18058.3338 24.286334 2000-2012 –> 2013-2019 7.954588 50853.5564
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.2752217 18086.9487 23.326511 2000-2012 –> 2013-2019 7.988659 50929.7875
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.0957043 17818.9533 58.233080 2000-2012 –> 2013-2019 7.939134 51077.4340
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1960814 17971.3460 25.374907 2000-2012 –> 2013-2019 7.852241 50629.3074
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.2326711 18025.9917 25.568945 2000-2012 –> 2013-2019 7.924841 50801.7777
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.2078428 17988.9631 25.661474 2000-2012 –> 2013-2019 7.881089 50702.9756
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1873656 17958.2591 40.875802 2000-2012 –> 2013-2019 7.870347 50704.0923
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7447686 17255.1438 26.533664 2000-2012 –> 2013-2019 7.044044 48678.3195
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.1090527 29131.3383 23.943699 1982-1999 –> 2000-2012 5.451780 63971.0389
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1121007 29142.5129 11.910424 1982-1999 –> 2000-2012 5.491361 64219.5854
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.1977536 29450.1386 22.537101 1982-1999 –> 2000-2012 5.579979 64544.3107
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.2159823 29514.9621 28.847688 1982-1999 –> 2000-2012 5.622103 64762.2416
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.2362513 29586.6110 25.269303 1982-1999 –> 2000-2012 5.625734 64727.4470
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0686972 28982.3453 10.771340 1982-1999 –> 2000-2012 5.430861 63948.7937
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.0779741 29016.7686 10.198147 1982-1999 –> 2000-2012 5.451980 64059.9213
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.2105662 29497.7402 26.793047 1982-1999 –> 2000-2012 5.608481 64694.6152
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.0693904 28982.9211 9.696398 1982-1999 –> 2000-2012 5.548260 64687.1331
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0692989 28984.5812 10.084483 1982-1999 –> 2000-2012 5.439415 64002.5794
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.7877150 16672.2481 26.422527 2000-2012 –> 2013-2019 6.896768 45803.5864
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7413123 16597.5988 9.975730 2000-2012 –> 2013-2019 6.853413 45740.1117
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.6574154 16460.2505 11.886424 2000-2012 –> 2013-2019 6.803027 45724.9042
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.7184222 16558.4331 14.191012 2000-2012 –> 2013-2019 6.884376 45894.5968
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6776035 16493.5862 9.797145 2000-2012 –> 2013-2019 6.746301 45475.9316
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6839774 16504.0732 9.795602 2000-2012 –> 2013-2019 6.761952 45520.8418
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.8900678 16833.7232 26.603774 2000-2012 –> 2013-2019 7.100634 46331.4634
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.7076207 16540.8157 13.600995 2000-2012 –> 2013-2019 6.777011 45523.7368
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6711970 16483.0273 9.783626 2000-2012 –> 2013-2019 6.740496 45467.6085
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7777468 16656.2894 17.061508 2000-2012 –> 2013-2019 6.968365 46082.9521
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7286903 10189.5932 17.669623 1982-1999 –> 2000-2012 4.732368 22620.7760
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2.7184799 10171.8478 16.373373 1982-1999 –> 2000-2012 4.722713 22602.6593
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7124346 10164.4976 15.546542 1982-1999 –> 2000-2012 4.714566 22591.1453
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 2.7290639 10188.1683 17.446124 1982-1999 –> 2000-2012 4.738863 22635.2685
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.7478578 10216.9927 20.134674 1982-1999 –> 2000-2012 4.755920 22659.0145
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.7357698 10198.4758 18.021780 1982-1999 –> 2000-2012 4.745705 22645.9753
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7112721 10162.6972 15.528468 1982-1999 –> 2000-2012 4.714461 22592.4478
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7104012 10161.3479 15.542844 1982-1999 –> 2000-2012 4.715121 22595.5842
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.7306389 10192.5914 18.550694 1982-1999 –> 2000-2012 4.735629 22627.6199
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7100277 10160.7690 15.555490 1982-1999 –> 2000-2012 4.714874 22595.3768
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 3.1364886 6073.7924 13.793346 2000-2012 –> 2013-2019 5.854969 16245.6402
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0876874 6038.6900 11.782245 2000-2012 –> 2013-2019 5.800122 16203.1875
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0803373 6033.0511 11.781472 2000-2012 –> 2013-2019 5.791609 16195.7483
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.0769266 6030.4299 11.792600 2000-2012 –> 2013-2019 5.787328 16191.7778
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.0803079 6033.0285 15.618676 2000-2012 –> 2013-2019 5.810947 16225.6199
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0755554 6029.3752 11.802136 2000-2012 –> 2013-2019 5.785583 16190.1443
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.1170634 6061.0935 12.289389 2000-2012 –> 2013-2019 5.848581 16255.0366
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1338841 6073.8269 11.191155 2000-2012 –> 2013-2019 5.865386 16267.7446
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 3.1476009 6082.1601 10.406863 2000-2012 –> 2013-2019 5.881333 16277.5058
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.1464293 6081.2793 10.419922 2000-2012 –> 2013-2019 5.879881 16276.1945
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.3038231 12214.4950 39.903056 1982-1999 –> 2000-2012 4.460333 28988.5817
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3115015 12232.5092 37.912598 1982-1999 –> 2000-2012 4.500800 29122.2136
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 2.3082666 12222.9273 42.085346 1982-1999 –> 2000-2012 4.504513 29134.9102
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.3022938 12210.8998 41.596052 1982-1999 –> 2000-2012 4.469762 29023.8235
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.3019373 12210.0615 42.074202 1982-1999 –> 2000-2012 4.466234 29011.7651
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 2.3158598 12240.7076 37.722248 1982-1999 –> 2000-2012 4.504598 29126.4532
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3157697 12242.4971 37.482326 1982-1999 –> 2000-2012 4.504488 29130.1711
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3156529 12242.2239 37.365527 1982-1999 –> 2000-2012 4.504350 29129.8233
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 2.3173632 12244.2211 36.303106 1982-1999 –> 2000-2012 4.506087 29129.9143
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3161837 12243.4647 37.298590 1982-1999 –> 2000-2012 4.504907 29131.1578
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.1342867 8230.7792 27.178256 2000-2012 –> 2013-2019 5.438110 20445.2743
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.1353903 8229.9086 28.451362 2000-2012 –> 2013-2019 5.448620 20464.4641
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1086260 8204.4069 27.214372 2000-2012 –> 2013-2019 5.420127 20436.9161
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.1103601 8206.1959 25.298348 2000-2012 –> 2013-2019 5.412654 20417.0958
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 3.1356176 8230.1412 28.521034 2000-2012 –> 2013-2019 5.452814 20473.9713
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1347051 8231.2074 28.197941 2000-2012 –> 2013-2019 5.440038 20449.2492
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 3.1372363 8231.7968 28.779039 2000-2012 –> 2013-2019 5.454303 20475.3248
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1075588 8203.3054 27.211092 2000-2012 –> 2013-2019 5.423329 20445.8025
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.1059832 8201.6784 27.314147 2000-2012 –> 2013-2019 5.421636 20443.9024
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1057795 8201.4681 27.329901 2000-2012 –> 2013-2019 5.421963 20444.9328
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0644836 11659.2229 13.523065 1982-1999 –> 2000-2012 3.814804 26482.0927
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 2.0556840 11634.0202 14.448082 1982-1999 –> 2000-2012 3.904487 26864.5628
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.0528041 11628.4050 14.138335 1982-1999 –> 2000-2012 3.878661 26767.4800
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.0185658 11537.0417 13.495602 1982-1999 –> 2000-2012 3.799177 26488.3208
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0704706 11674.9530 13.448302 1982-1999 –> 2000-2012 3.823854 26510.9069
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0718791 11678.6469 13.417542 1982-1999 –> 2000-2012 3.826657 26520.5509
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0810829 11702.7239 12.929588 1982-1999 –> 2000-2012 3.839764 26561.2561
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0722244 11679.5522 13.405247 1982-1999 –> 2000-2012 3.827180 26522.2165
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 2.0811784 11700.9731 12.878242 1982-1999 –> 2000-2012 3.842933 26570.5767
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.0947375 11738.2483 13.760271 1982-1999 –> 2000-2012 3.875599 26690.5785
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2646733 5989.5781 9.539938 2000-2012 –> 2013-2019 4.394213 17817.3324
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2957947 6026.0470 9.511622 2000-2012 –> 2013-2019 4.360278 17685.2699
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 2.3000085 6028.9468 11.227113 2000-2012 –> 2013-2019 4.355692 17662.9669
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.2627604 5987.3201 10.307538 2000-2012 –> 2013-2019 4.315564 17615.7251
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.2601026 5984.1798 10.458359 2000-2012 –> 2013-2019 4.278668 17521.2215
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3018789 6033.1188 9.613615 2000-2012 –> 2013-2019 4.372350 17708.0718
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3025676 6033.9181 9.626570 2000-2012 –> 2013-2019 4.374447 17712.5650
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3048869 6036.6082 9.928090 2000-2012 –> 2013-2019 4.385970 17739.3321
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3028159 6034.2063 9.639492 2000-2012 –> 2013-2019 4.375040 17713.7585
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 2.3055933 6035.4270 9.859544 2000-2012 –> 2013-2019 4.386772 17736.4001
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.8720221 7385.6316 12.452441 1982-1999 –> 2000-2012 3.425330 15920.7780
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8471811 7339.4879 12.355047 1982-1999 –> 2000-2012 3.377165 15807.2806
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8485938 7342.2430 12.276569 1982-1999 –> 2000-2012 3.377928 15808.0883
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8490266 7343.0868 12.251427 1982-1999 –> 2000-2012 3.378183 15808.4003
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8657869 7375.6076 12.365350 1982-1999 –> 2000-2012 3.406438 15875.2505
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8488969 7342.8339 12.256838 1982-1999 –> 2000-2012 3.378076 15808.2148
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8745271 7390.4510 12.329095 1982-1999 –> 2000-2012 3.415738 15889.7594
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.8097179 7265.6427 11.690919 1982-1999 –> 2000-2012 3.282424 15558.5292
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 1.8761191 7393.5106 12.345471 1982-1999 –> 2000-2012 3.430747 15932.5526
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.8634155 7371.0240 12.869543 1982-1999 –> 2000-2012 3.416006 15906.0540
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.0202898 3700.3480 8.592639 2000-2012 –> 2013-2019 3.892312 11085.9796
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9790337 3666.4891 7.956598 2000-2012 –> 2013-2019 3.826215 11005.9770
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9830321 3669.9969 7.922883 2000-2012 –> 2013-2019 3.831626 11012.2399
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9837829 3670.6548 7.910065 2000-2012 –> 2013-2019 3.832810 11013.7416
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.9945680 3680.0782 8.073601 2000-2012 –> 2013-2019 3.860355 11055.6858
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9834544 3670.3671 7.906257 2000-2012 –> 2013-2019 3.832351 11013.2009
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 2.0103719 3691.7949 8.604610 2000-2012 –> 2013-2019 3.884899 11082.2459
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.9840834 3670.9181 8.225585 2000-2012 –> 2013-2019 3.793801 10936.5608
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 2.0284854 3707.3842 8.581940 2000-2012 –> 2013-2019 3.904605 11100.8948
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.9853101 3671.9923 8.444820 2000-2012 –> 2013-2019 3.848726 11043.0163
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.6941666 58302.4703 30.745364 1982-1999 –> 2000-2012 3.188845 135012.2853
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5962468 56521.2541 30.601526 1982-1999 –> 2000-2012 2.981499 130030.5812
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6723939 57917.0452 16.775538 1982-1999 –> 2000-2012 3.159336 134410.2837
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5961490 56519.4187 30.590364 1982-1999 –> 2000-2012 2.980689 130007.0846
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5961074 56518.6374 30.581195 1982-1999 –> 2000-2012 2.980005 129986.7684
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5912968 56428.2262 29.769049 1982-1999 –> 2000-2012 2.963430 129536.7374
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5961076 56518.6402 30.581211 1982-1999 –> 2000-2012 2.979999 129986.5691
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5962357 56519.0451 30.493735 1982-1999 –> 2000-2012 2.980637 130000.5065
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4972052 54602.6798 20.619192 1982-1999 –> 2000-2012 2.714694 122674.4240
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6562090 57625.7673 29.430157 1982-1999 –> 2000-2012 3.098888 132846.0901
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.8636390 32655.0985 33.883499 2000-2012 –> 2013-2019 3.557806 90957.5688
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7843361 31961.7797 33.540973 2000-2012 –> 2013-2019 3.380583 88483.0338
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.8864712 32851.8076 17.925817 2000-2012 –> 2013-2019 3.558865 90768.8528
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7847207 31965.2250 33.530127 2000-2012 –> 2013-2019 3.380870 88484.6437
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.7850723 31968.3750 33.514905 2000-2012 –> 2013-2019 3.381180 88487.0124
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.7877837 31992.6445 32.824032 2000-2012 –> 2013-2019 3.379080 88420.8706
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.7850587 31968.2532 33.516409 2000-2012 –> 2013-2019 3.381166 88486.8934
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7880296 31992.8439 33.022171 2000-2012 –> 2013-2019 3.384265 88511.8890
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.7760649 31887.4865 20.108008 2000-2012 –> 2013-2019 3.273270 86490.1663
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.8411357 32462.8454 32.481932 2000-2012 –> 2013-2019 3.497345 90088.6127

5.3.2 per fitting unit

lm_best %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab eras rmse_sum_mean ais_sum_mean
Atlantic (-Inf,26] 1982-1999 –> 2000-2012 2.733883 1161.4460
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 2.704534 702.6671
Atlantic (26,26.5] 1982-1999 –> 2000-2012 7.658079 12850.3452
Atlantic (26,26.5] 2000-2012 –> 2013-2019 7.978014 8358.9011
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 7.043862 16312.5518
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 7.223347 10579.8038
Atlantic (26.75,27] 1982-1999 –> 2000-2012 4.024594 23252.5868
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.546220 16331.4893
Atlantic (27,27.25] 1982-1999 –> 2000-2012 3.698324 19874.2010
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.411130 14188.5983
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 4.745917 22820.7617
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 5.788160 16126.9596
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 4.400976 27776.2189
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 5.308066 19366.5492
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 4.352889 10930.2856
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 4.601113 7003.7845
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 7.258212 12407.1243
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 6.998577 7865.8295
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 8.956011 16295.8391
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 8.479127 9938.6508
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 3.015150 5888.3049
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.884157 3758.1098
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 2.331916 7041.3077
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 2.222949 4689.1654
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.578124 9275.4379
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.822831 6179.5100
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 1.292456 13049.2257
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 1.719186 10902.4539
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 12.301221 74766.0034
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 12.049310 48257.6830
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 8.586798 73844.7230
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 8.716600 47204.5128
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 7.416343 59051.4769
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 7.610061 38414.4184
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 7.568421 73147.5906
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 8.479022 49655.1339
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 7.973466 87675.9313
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 9.204290 59854.9308
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.424701 73434.5472
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 7.780880 50479.9902
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.524995 64361.7666
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 6.853234 45756.5733
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.729022 22616.5868
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.830574 16232.8600
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.492607 29092.8814
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 5.433359 20449.6933
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 3.843311 26597.8542
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.359899 17691.2643
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.388803 15831.4908
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.850770 11034.9543
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 3.002802 130449.1330
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 3.417443 88917.9544

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

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 8 1 7 8 10 4 8
(26,26.5] 7 4 4 7 9 8 9
(26.5,26.75] 8 1 7 8 4 10 8
(26.75,27] 8 1 7 8 4 10 8
(27,27.25] 8 3 5 8 8 10 6
(27.25,27.5] 8 4 5 6 8 9 8
(27.5,27.75] 7 2 6 7 10 7 8
(27.75,27.85] 7 3 5 7 10 8 8
(27.85,27.95] 8 3 6 9 8 7 8
(27.95,28.05] 6 4 4 9 8 6 10
(28.05,28.1] 9 2 8 8 7 5 8
(28.1,28.15] 9 2 7 8 8 6 8
(28.15,28.2] 8 3 6 7 10 6 8
(28.2, Inf] 10 10 0 5 7 6 5
total 111.00 43.00 77.00 105.00 111.00 102.00 110.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 2 6 8 10 5 8
(26,26.5] 7 4 4 7 9 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] 6 3 5 8 10 10 4
(27.25,27.5] 8 6 4 5 8 10 6
(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] 7 3 5 9 9 7 8
(27.95,28.05] 7 4 4 9 8 7 9
(28.05,28.1] 10 3 7 8 6 4 8
(28.1,28.15] 9 2 7 9 7 6 8
(28.15,28.2] 7 4 5 8 10 6 8
(28.2, Inf] 9 10 0 6 8 6 5
total 110.00 49.00 71.00 105.00 115.00 105.00 103.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 7 3 6 8 10 5 8
(26,26.5] 8 2 6 8 5 9 9
(26.5,26.75] 8 4 5 9 8 6 8
(26.75,27] 10 1 9 8 6 4 6
(27,27.25] 9 2 8 8 5 7 7
(27.25,27.5] 8 2 6 8 8 10 5
(27.5,27.75] 5 3 5 8 10 10 5
(27.75,27.85] 6 3 5 8 10 10 4
(27.85,27.95] 8 4 4 5 10 8 8
(27.95,28.05] 7 4 4 7 9 8 9
(28.05,28.1] 7 2 6 8 6 10 8
(28.1, Inf] 7 3 5 8 8 9 8
total 90.00 33.00 69.00 93.00 95.00 96.00 85.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 6 3 5 9 10 6 8
(26,26.5] 7 2 6 8 6 10 8
(26.5,26.75] 6 7 3 9 5 6 9
(26.75,27] 10 1 9 8 6 4 6
(27,27.25] 9 1 9 8 5 7 7
(27.25,27.5] 8 2 6 9 8 9 6
(27.5,27.75] 7 3 5 6 9 10 8
(27.75,27.85] 7 2 6 8 6 10 8
(27.85,27.95] 9 2 6 8 10 5 7
(27.95,28.05] 7 5 3 7 10 8 8
(28.05,28.1] 7 2 6 8 6 10 8
(28.1, Inf] 7 3 5 8 8 9 8
total 90.00 33.00 69.00 96.00 89.00 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
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
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