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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 86

4 Fit all models

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

  • cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.6888679 122.80820 2.0916337 1982-1999 –> 2000-2012 2.692202 356.6383
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7979281 138.09298 2.2534412 1982-1999 –> 2000-2012 2.646105 363.5393
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6930849 123.44292 2.6093579 1982-1999 –> 2000-2012 2.693264 357.1092
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7466441 131.18427 2.2039734 1982-1999 –> 2000-2012 2.306140 338.9676
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6815927 121.70401 2.0899917 1982-1999 –> 2000-2012 2.538292 347.6288
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.6822290 121.80105 2.0880027 1982-1999 –> 2000-2012 2.518524 346.5766
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7349890 129.54803 3.1103519 1982-1999 –> 2000-2012 2.568761 354.1806
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.6805627 121.54674 2.0884714 1982-1999 –> 2000-2012 2.508238 345.8330
Atlantic (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.7607349 131.12870 2.2092104 1982-1999 –> 2000-2012 2.432101 344.1170
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.6836078 122.01103 2.0224842 1982-1999 –> 2000-2012 2.061904 316.9489
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9017276 2154.87563 13.2053323 1982-1999 –> 2000-2012 7.023359 3902.7211
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.2629038 2223.04461 14.9469881 1982-1999 –> 2000-2012 7.531807 4002.1451
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 4.5624909 2275.34159 18.2317122 1982-1999 –> 2000-2012 8.025988 4093.6470
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9661834 2167.49196 13.9504071 1982-1999 –> 2000-2012 7.187336 3936.6154
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9836096 2170.86770 14.1287453 1982-1999 –> 2000-2012 7.223447 3943.9128
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.9141865 2157.33047 15.4852356 1982-1999 –> 2000-2012 7.190517 3937.9696
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9917080 2172.43147 14.1786465 1982-1999 –> 2000-2012 7.239507 3947.1406
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.2089477 2213.23641 17.9201913 1982-1999 –> 2000-2012 7.991021 4091.2014
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.2555159 2221.70899 16.2807198 1982-1999 –> 2000-2012 7.995486 4092.0839
Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.1979237 2209.21701 17.2423662 1982-1999 –> 2000-2012 7.979837 4085.1532
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.2679630 32.36579 0.6450084 2000-2012 –> 2013-2019 5.032970 2341.1487
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4979027 143.88583 1.4003853 2000-2012 –> 2013-2019 4.399630 2298.7615
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.4815184 137.86299 1.2506255 2000-2012 –> 2013-2019 4.744422 2360.9076
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.2507767 20.43434 0.6809648 2000-2012 –> 2013-2019 4.813268 2295.7759
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4872077 139.97727 1.7021575 2000-2012 –> 2013-2019 4.453391 2307.4692
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.4874714 140.07468 1.6188108 2000-2012 –> 2013-2019 4.471081 2310.9424
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.6924025 203.24313 2.0473883 2000-2012 –> 2013-2019 4.606589 2360.5736
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4876285 140.13268 1.5458324 2000-2012 –> 2013-2019 4.479336 2312.5641
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.4853880 137.30372 1.3299771 2000-2012 –> 2013-2019 5.007160 2403.7424
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.2536275 22.46896 0.7440633 2000-2012 –> 2013-2019 4.462575 2235.7054
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.0706446 3269.44183 15.1803195 1982-1999 –> 2000-2012 6.797040 5097.8809
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0672474 3270.47835 15.9283711 1982-1999 –> 2000-2012 6.793705 5100.9347
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0958453 3278.56403 16.2649846 1982-1999 –> 2000-2012 6.880865 5124.9591
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.1195938 3285.23585 16.5246918 1982-1999 –> 2000-2012 6.940701 5141.2868
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1259594 3287.01762 16.5912195 1982-1999 –> 2000-2012 6.959283 5146.3093
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.0340534 3261.02159 14.5327988 1982-1999 –> 2000-2012 6.815534 5106.4629
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4.1287982 3285.81134 15.6279106 1982-1999 –> 2000-2012 6.928635 5134.1860
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9771381 3244.62417 20.8904734 1982-1999 –> 2000-2012 6.613095 5049.7629
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 4.1595210 3294.36659 15.8496980 1982-1999 –> 2000-2012 7.003829 5154.5603
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.1671210 3296.47316 15.8981185 1982-1999 –> 2000-2012 7.026765 5160.7000
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.0687289 273.43190 6.2573726 2000-2012 –> 2013-2019 5.139373 3542.8737
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.9136484 247.83871 4.6302567 2000-2012 –> 2013-2019 4.980896 3518.3171
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9087044 246.88375 5.0215965 2000-2012 –> 2013-2019 5.004550 3525.4478
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.9125730 247.63143 5.1324232 2000-2012 –> 2013-2019 5.032167 3532.8673
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9164995 248.38709 5.2372738 2000-2012 –> 2013-2019 5.042459 3535.4047
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7421155 211.24112 2.8363965 2000-2012 –> 2013-2019 4.776169 3472.2627
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 1.0579193 271.64270 6.6279914 2000-2012 –> 2013-2019 5.186718 3557.4540
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0592356 273.86154 7.1751231 2000-2012 –> 2013-2019 5.036374 3518.4857
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 1.0575666 271.58402 6.7479214 2000-2012 –> 2013-2019 5.217088 3565.9506
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1.0574069 271.55743 6.8324034 2000-2012 –> 2013-2019 5.224528 3568.0306
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6795353 4763.45385 15.0805052 1982-1999 –> 2000-2012 4.404333 7827.5850
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6209622 4721.78053 14.6905985 1982-1999 –> 2000-2012 4.349406 7791.1935
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6875996 4771.39185 14.7553810 1982-1999 –> 2000-2012 4.568741 7972.3621
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7351594 4806.05343 14.8467845 1982-1999 –> 2000-2012 4.692775 8068.9484
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7524301 4818.49128 14.8470016 1982-1999 –> 2000-2012 4.742247 8106.7403
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5025397 4630.41940 9.1613798 1982-1999 –> 2000-2012 4.426851 7866.6484
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.8036381 4852.91634 15.5762275 1982-1999 –> 2000-2012 4.689756 8055.9917
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5963287 4703.12098 14.1435086 1982-1999 –> 2000-2012 4.197814 7653.9791
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.8551305 4888.87879 15.7145978 1982-1999 –> 2000-2012 4.817869 8153.8347
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.8753509 4902.82379 15.7361326 1982-1999 –> 2000-2012 4.870493 8193.2260
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.9634579 711.27765 9.5451653 2000-2012 –> 2013-2019 4.642993 5474.7315
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.6466749 654.51065 8.3429464 2000-2012 –> 2013-2019 4.613163 5620.9938
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 1.4700727 614.61964 4.4579116 2000-2012 –> 2013-2019 4.240363 5443.8913
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4490502 611.80885 4.3002782 2000-2012 –> 2013-2019 4.070012 5333.5894
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 1.6083700 644.64937 5.0622129 2000-2012 –> 2013-2019 4.614917 5635.6375
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4633638 615.09187 4.4245162 2000-2012 –> 2013-2019 4.150963 5386.4837
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4841520 619.80323 4.5254744 2000-2012 –> 2013-2019 4.219311 5425.8567
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5028507 623.98497 4.6103051 2000-2012 –> 2013-2019 4.255281 5442.4762
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4930270 621.79455 7.1434341 2000-2012 –> 2013-2019 3.995567 5252.2139
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.0492245 725.55759 7.7961774 2000-2012 –> 2013-2019 4.852863 5578.4739
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.1999603 5391.17244 9.1086708 1982-1999 –> 2000-2012 4.133575 9449.6016
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.1949118 5383.57588 11.0171913 1982-1999 –> 2000-2012 3.713869 8970.3053
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.1876799 5377.53634 11.3686930 1982-1999 –> 2000-2012 3.575841 8791.0393
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.3358113 5535.13753 10.3493934 1982-1999 –> 2000-2012 4.269640 9591.7820
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1938135 5384.35662 11.1466242 1982-1999 –> 2000-2012 3.614871 8843.4379
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2306454 5424.91507 11.1548576 1982-1999 –> 2000-2012 3.697198 8945.3205
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3795001 5582.27932 14.0054231 1982-1999 –> 2000-2012 4.116214 9431.7161
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2389250 5433.94012 11.1484479 1982-1999 –> 2000-2012 3.718323 8971.3173
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0562602 5226.61966 9.9827084 1982-1999 –> 2000-2012 3.764071 9043.3969
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5524060 5753.15503 13.9129751 1982-1999 –> 2000-2012 4.432235 9756.6877
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.7503327 1228.94906 7.8430310 2000-2012 –> 2013-2019 3.950293 6620.1215
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9962407 1307.66543 6.4518967 2000-2012 –> 2013-2019 4.191153 6691.2413
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9709829 1301.84712 6.5222043 2000-2012 –> 2013-2019 4.158663 6679.3835
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 1.9840283 1303.89763 6.5021729 2000-2012 –> 2013-2019 4.319840 6839.0352
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.4651532 1119.75157 6.4327794 2000-2012 –> 2013-2019 3.492869 6312.3190
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9582335 1297.86253 6.5317359 2000-2012 –> 2013-2019 4.152047 6682.2191
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9761407 1303.45179 6.5069184 2000-2012 –> 2013-2019 4.206786 6728.3669
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9784173 1304.15872 6.5075058 2000-2012 –> 2013-2019 4.217342 6738.0988
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 1.4695909 1119.60848 6.2643114 2000-2012 –> 2013-2019 3.530066 6349.2159
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4695656 1121.59789 6.2404755 2000-2012 –> 2013-2019 3.525826 6348.2176
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.4471856 11737.77624 21.7347293 1982-1999 –> 2000-2012 4.947043 16624.3284
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.4670371 11765.12252 22.8547240 1982-1999 –> 2000-2012 4.792182 16322.7528
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.2114584 11427.11954 11.4074511 1982-1999 –> 2000-2012 5.024400 16822.2321
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.5412154 11858.56526 21.6825405 1982-1999 –> 2000-2012 5.367052 17272.6160
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.4464203 11738.79616 21.7022267 1982-1999 –> 2000-2012 4.699320 16146.6315
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3885653 11664.06944 23.3327314 1982-1999 –> 2000-2012 4.683439 16159.9541
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.3832181 11657.09863 23.2558824 1982-1999 –> 2000-2012 4.754345 16305.8745
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3916747 11668.11804 23.3802101 1982-1999 –> 2000-2012 4.701400 16194.4733
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 3.4413068 11730.24222 10.1510581 1982-1999 –> 2000-2012 5.269299 17145.4458
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4338421 11722.65718 10.2055452 1982-1999 –> 2000-2012 5.019790 16760.3397
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2.8014860 2069.23436 22.0830922 2000-2012 –> 2013-2019 6.091293 13600.7477
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7493135 2055.44341 21.9273592 2000-2012 –> 2013-2019 6.113026 13687.0194
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.5181355 1981.66413 23.4897384 2000-2012 –> 2013-2019 5.729594 13408.7837
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0385891 2139.47874 24.0903099 2000-2012 –> 2013-2019 6.485009 13878.2749
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9171472 2105.21753 18.9555940 2000-2012 –> 2013-2019 6.305712 13769.2870
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.9284325 2108.46089 17.6531207 2000-2012 –> 2013-2019 6.311651 13765.5595
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9102653 2103.23355 18.6001791 2000-2012 –> 2013-2019 6.301940 13771.3516
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 2.9321863 2107.53695 13.7737286 2000-2012 –> 2013-2019 6.311923 13758.0918
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.6274940 2015.37403 21.9245501 2000-2012 –> 2013-2019 6.068801 13745.6162
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.4962230 1974.32254 25.0104867 2000-2012 –> 2013-2019 5.930065 13696.9797
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4421643 18004.60820 22.2249602 1982-1999 –> 2000-2012 4.228077 28988.3968
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.6356548 18597.96207 26.8192095 1982-1999 –> 2000-2012 4.013447 28157.9050
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.6683960 18694.03804 18.3855204 1982-1999 –> 2000-2012 4.503520 29827.0043
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 2.6581298 18662.04019 21.2697975 1982-1999 –> 2000-2012 4.493494 29793.7242
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.4408182 18000.31742 22.3558750 1982-1999 –> 2000-2012 4.078894 28509.9012
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.4311187 17969.33119 24.1534770 1982-1999 –> 2000-2012 3.914643 27935.0448
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4368975 17987.80727 24.0569628 1982-1999 –> 2000-2012 3.914057 27929.9246
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 2.6540555 18650.10313 21.1238343 1982-1999 –> 2000-2012 4.489361 29781.6101
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.4298938 17965.40934 24.0755323 1982-1999 –> 2000-2012 3.911574 27924.2983
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.5286669 18273.48062 25.5711194 1982-1999 –> 2000-2012 4.003420 28204.6509
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.4827084 3674.06970 14.2726999 2000-2012 –> 2013-2019 5.198680 22505.6334
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.7883735 3854.59206 21.6331959 2000-2012 –> 2013-2019 5.235144 21871.8624
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7255702 3820.78064 21.2131123 2000-2012 –> 2013-2019 5.167734 21825.3888
Atlantic (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 2.4320846 3639.68438 10.9293441 2000-2012 –> 2013-2019 5.284178 22849.8156
Atlantic (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.4203858 3632.10454 10.6197545 2000-2012 –> 2013-2019 5.257003 22799.8933
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7694566 3845.89093 21.8175389 2000-2012 –> 2013-2019 5.210275 21846.2084
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3722005 3602.49330 15.4497015 2000-2012 –> 2013-2019 4.803319 21571.8245
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.3670416 3599.07089 15.4985000 2000-2012 –> 2013-2019 4.803939 21586.8782
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3689627 3600.34620 15.4155392 2000-2012 –> 2013-2019 4.798857 21565.7555
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.4031554 3620.87368 15.8986796 2000-2012 –> 2013-2019 4.931822 21894.3543
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 1.3792826 5640.78352 6.8051042 1982-1999 –> 2000-2012 2.287025 8199.2330
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.3194079 5497.25720 6.4863310 1982-1999 –> 2000-2012 2.135734 7851.2686
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2312349 5275.57627 6.7744326 1982-1999 –> 2000-2012 1.891426 7222.7281
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.3694179 5619.57074 6.8863287 1982-1999 –> 2000-2012 2.232020 8081.7812
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2360771 5288.26991 7.6596537 1982-1999 –> 2000-2012 1.989954 7490.9994
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2734374 5384.56919 6.8011158 1982-1999 –> 2000-2012 1.957340 7399.6798
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3436623 5558.16746 7.0826412 1982-1999 –> 2000-2012 2.066339 7679.4907
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3431682 5556.97802 7.0915364 1982-1999 –> 2000-2012 2.066344 7679.6324
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3409817 5551.70914 7.0530768 1982-1999 –> 2000-2012 2.063397 7672.3361
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3621472 5600.35459 7.7467845 1982-1999 –> 2000-2012 2.086438 7723.9764
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.1823718 884.55351 5.9978041 2000-2012 –> 2013-2019 2.501780 6381.8107
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0378889 814.87000 3.6421930 2000-2012 –> 2013-2019 2.269124 6090.4463
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8855777 727.58289 3.8927949 2000-2012 –> 2013-2019 2.507765 6894.9590
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.2448989 914.89606 4.7763384 2000-2012 –> 2013-2019 2.614317 6534.4668
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0158716 803.07705 7.6391331 2000-2012 –> 2013-2019 2.251949 6091.3470
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0814957 837.50596 4.6503334 2000-2012 –> 2013-2019 2.354933 6222.0751
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1057140 849.68639 4.6969127 2000-2012 –> 2013-2019 2.449376 6407.8539
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.1071702 850.41024 4.8855818 2000-2012 –> 2013-2019 2.450338 6407.3883
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1072301 850.44000 4.7222784 2000-2012 –> 2013-2019 2.448212 6402.1491
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.1090265 849.33163 4.4398555 2000-2012 –> 2013-2019 2.471174 6449.6862
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 1.8455076 6277.74085 13.7660762 1982-1999 –> 2000-2012 3.102178 9673.5092
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6400857 5915.81076 13.5747276 1982-1999 –> 2000-2012 2.713275 8989.3942
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.3519634 5320.01104 10.7918359 1982-1999 –> 2000-2012 2.306276 8152.4584
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7111432 6046.61307 13.8829202 1982-1999 –> 2000-2012 2.816397 9180.6660
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.7845442 6176.14531 14.1565622 1982-1999 –> 2000-2012 2.935361 9393.1744
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.7898203 6185.24982 14.1859299 1982-1999 –> 2000-2012 2.942070 9404.8357
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.7792170 6166.92511 14.1088154 1982-1999 –> 2000-2012 2.929432 9382.8804
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8091987 6216.46089 14.5765309 1982-1999 –> 2000-2012 2.963182 9437.1341
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.6688777 5967.48118 10.6725041 1982-1999 –> 2000-2012 2.733192 9022.0076
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6680599 5967.96971 10.8130244 1982-1999 –> 2000-2012 2.737595 9034.5481
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2511178 786.19868 8.7319821 2000-2012 –> 2013-2019 2.891204 6702.0094
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8880930 625.12209 5.2268064 2000-2012 –> 2013-2019 3.229889 7639.3598
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8261094 591.11789 5.2841634 2000-2012 –> 2013-2019 2.178073 5911.1289
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3630241 826.46286 9.6909286 2000-2012 –> 2013-2019 3.074167 6873.0759
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4279644 848.33859 10.0798711 2000-2012 –> 2013-2019 3.212509 7024.4839
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.4637576 859.97433 10.3755566 2000-2012 –> 2013-2019 3.253578 7045.2242
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4176466 844.93025 9.9948726 2000-2012 –> 2013-2019 3.196864 7011.8554
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5282609 878.24241 10.7564122 2000-2012 –> 2013-2019 3.337460 7094.7033
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.2424863 780.94491 8.0174564 2000-2012 –> 2013-2019 2.911364 6748.4261
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2381758 781.31152 8.1279729 2000-2012 –> 2013-2019 2.906236 6749.2812
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.9066059 11377.95122 22.6867923 1982-1999 –> 2000-2012 9.104871 18691.4855
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.8948442 10505.96421 18.2113647 1982-1999 –> 2000-2012 7.237935 17236.8485
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.9090823 11379.85648 22.6088483 1982-1999 –> 2000-2012 9.108385 18694.0226
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.9072628 11378.45667 22.5243720 1982-1999 –> 2000-2012 9.101138 18689.3146
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.8907344 11365.71708 22.3105760 1982-1999 –> 2000-2012 9.037010 18647.3761
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.9105089 11380.95361 22.5607961 1982-1999 –> 2000-2012 9.107305 18693.5927
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 4.8775668 11353.53705 22.1932527 1982-1999 –> 2000-2012 9.066610 18659.4458
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.5061226 10106.94455 18.0120725 1982-1999 –> 2000-2012 6.076678 16163.6536
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.3508348 8599.52531 15.4621130 1982-1999 –> 2000-2012 3.885662 13339.0623
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 5.0041000 11450.24453 22.9512325 1982-1999 –> 2000-2012 9.066406 18677.5678
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7348809 604.99438 3.6779131 2000-2012 –> 2013-2019 5.641487 11982.9456
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6243198 518.25410 3.4000255 2000-2012 –> 2013-2019 4.519164 11024.2183
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.4436405 336.49722 2.1477594 2000-2012 –> 2013-2019 5.408879 11759.3034
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8195637 663.01626 4.5725499 2000-2012 –> 2013-2019 5.728646 12042.8727
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8827009 702.49824 5.0717565 2000-2012 –> 2013-2019 5.789964 12080.9549
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8712190 695.53277 4.9988349 2000-2012 –> 2013-2019 5.781728 12076.4864
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.0176773 776.19745 3.9991853 2000-2012 –> 2013-2019 4.523800 10883.1420
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.8733534 696.83453 5.5093330 2000-2012 –> 2013-2019 3.224188 9296.3598
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.7506603 614.29664 4.5305645 2000-2012 –> 2013-2019 5.738666 12052.3768
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7504250 616.12982 4.5156602 2000-2012 –> 2013-2019 5.753523 12067.6183
Atlantic (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 1.5023818 3983.35483 12.8128202 1982-1999 –> 2000-2012 2.529414 6089.4915
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.4907955 3968.50853 12.4049317 1982-1999 –> 2000-2012 2.515476 6073.3215
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.5917073 4111.03077 14.0695201 1982-1999 –> 2000-2012 2.492046 6028.2652
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5908928 4111.91692 14.0508629 1982-1999 –> 2000-2012 2.507329 6056.8469
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 1.6199709 4149.33052 13.9301052 1982-1999 –> 2000-2012 2.531759 6084.8864
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.4433742 3900.16651 13.7481506 1982-1999 –> 2000-2012 2.300092 5747.3896
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.6208019 4150.44643 13.6417694 1982-1999 –> 2000-2012 2.542844 6102.2191
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.5195781 4012.11988 10.9442138 1982-1999 –> 2000-2012 2.534167 6104.5822
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.3744536 3791.70068 13.1909907 1982-1999 –> 2000-2012 2.228112 5631.7370
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2605590 3605.47454 11.0850316 1982-1999 –> 2000-2012 2.081734 5391.2580
Atlantic (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 0.5873592 339.89695 2.3923097 2000-2012 –> 2013-2019 2.089741 4323.2518
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.5894559 343.22252 2.4468037 2000-2012 –> 2013-2019 2.080251 4311.7311
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.4373026 232.15284 2.0163525 2000-2012 –> 2013-2019 2.029010 4343.1836
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4278196 225.99715 1.9536305 2000-2012 –> 2013-2019 2.018712 4337.9141
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 0.4782162 265.42354 2.3745357 2000-2012 –> 2013-2019 2.098187 4414.7541
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.3432257 144.04065 1.6586599 2000-2012 –> 2013-2019 1.786600 4044.2072
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4597076 252.73985 2.1601059 2000-2012 –> 2013-2019 2.089306 4416.9636
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.4806044 269.27668 2.7224727 2000-2012 –> 2013-2019 2.000183 4281.3966
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.5015061 283.11325 3.4046040 2000-2012 –> 2013-2019 1.875960 4074.8139
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.3512921 152.68207 2.7747667 2000-2012 –> 2013-2019 1.611851 3758.1566
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.4082465 5514.25082 9.5407730 1982-1999 –> 2000-2012 2.342626 7812.2551
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 1.4031532 5502.93137 11.6822892 1982-1999 –> 2000-2012 2.295391 7722.8492
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3913619 5478.56813 8.2157379 1982-1999 –> 2000-2012 2.222791 7581.0539
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.3755425 5442.84571 12.9277561 1982-1999 –> 2000-2012 2.261668 7653.1325
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3714633 5433.56774 8.0934091 1982-1999 –> 2000-2012 2.217666 7565.8539
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3786767 5449.95584 8.0052394 1982-1999 –> 2000-2012 2.246833 7625.5783
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3514626 5387.67349 8.6139832 1982-1999 –> 2000-2012 2.214258 7552.8162
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.2068699 5034.17006 10.2475222 1982-1999 –> 2000-2012 2.142227 7335.9432
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.4884716 5687.33439 9.8075624 1982-1999 –> 2000-2012 2.365280 7877.7370
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1436475 4866.07578 15.1153693 1982-1999 –> 2000-2012 1.857063 6709.5460
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.5057278 426.29617 2.3315061 2000-2012 –> 2013-2019 1.913974 5940.5470
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3897179 281.85273 1.5013056 2000-2012 –> 2013-2019 1.781080 5760.4209
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.3981824 293.92857 1.7589725 2000-2012 –> 2013-2019 1.773725 5736.7743
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4082026 307.89608 1.5475289 2000-2012 –> 2013-2019 1.779666 5741.4638
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.4238275 329.00652 1.6087588 2000-2012 –> 2013-2019 1.802504 5778.9624
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4218042 326.31711 1.5947083 2000-2012 –> 2013-2019 1.773267 5713.9906
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5427476 467.99913 2.1961404 2000-2012 –> 2013-2019 1.749618 5502.1692
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.4237545 326.90966 1.8928817 2000-2012 –> 2013-2019 1.912226 6014.2440
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 0.5488769 472.31031 2.3644982 2000-2012 –> 2013-2019 1.939589 5947.4200
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2876588 111.20264 1.2306073 2000-2012 –> 2013-2019 1.431306 4977.2784
Atlantic (28.15,28.2] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.0543386 8722.42137 9.0651438 1982-1999 –> 2000-2012 1.988920 12772.0512
Atlantic (28.15,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1.1113954 9034.31600 16.6812202 1982-1999 –> 2000-2012 2.000998 12936.5672
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7823893 6958.98406 27.3193028 1982-1999 –> 2000-2012 1.632620 10727.9770
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 1.0295322 8581.51889 13.5477181 1982-1999 –> 2000-2012 1.935085 12536.8699
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.0569297 8738.94724 10.0062361 1982-1999 –> 2000-2012 1.924697 12568.9443
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 1.0538020 8717.40867 11.5875667 1982-1999 –> 2000-2012 2.019357 12862.4602
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 1.0644252 8778.76836 9.3506951 1982-1999 –> 2000-2012 2.009127 12860.5814
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8233455 7260.94114 14.3194743 1982-1999 –> 2000-2012 1.756880 11309.2238
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate_star 0.9880813 8336.31949 14.5973670 1982-1999 –> 2000-2012 1.856812 12165.6286
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1.0498920 8697.40996 9.5731338 1982-1999 –> 2000-2012 1.941351 12605.8882
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.6573706 887.50174 3.0443502 2000-2012 –> 2013-2019 1.726611 9692.9799
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.6594529 892.27212 3.0781503 2000-2012 –> 2013-2019 1.709418 9592.0932
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.5109876 668.83503 2.3882592 2000-2012 –> 2013-2019 1.293377 7627.8191
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6849450 925.49705 3.0712959 2000-2012 –> 2013-2019 1.747360 9695.0767
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 0.6743477 909.83788 2.2991715 2000-2012 –> 2013-2019 1.703880 9491.3568
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.6747304 912.33487 2.3025944 2000-2012 –> 2013-2019 1.731660 9651.2821
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.5258985 692.03139 2.4923994 2000-2012 –> 2013-2019 1.750559 10300.6734
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5229420 689.09280 2.5531013 2000-2012 –> 2013-2019 1.738458 10255.3803
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7542983 1009.98669 1.8901352 2000-2012 –> 2013-2019 1.577644 8270.9278
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate_star 0.7535484 1005.11544 1.9922921 2000-2012 –> 2013-2019 1.741630 9341.4349
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.8603840 14970.88409 15.8817647 1982-1999 –> 2000-2012 1.722937 21183.2092
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.6845937 12273.78365 5.2112855 1982-1999 –> 2000-2012 1.318814 16984.1239
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.6852155 12286.48827 5.2402423 1982-1999 –> 2000-2012 1.349633 17225.7305
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.6656305 11944.53600 4.8749004 1982-1999 –> 2000-2012 1.357766 17083.1408
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.6523878 11709.57070 6.3437363 1982-1999 –> 2000-2012 1.288976 16442.0874
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.6838502 12262.97001 4.9326695 1982-1999 –> 2000-2012 1.320006 16990.1783
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6874031 12326.07666 4.8115566 1982-1999 –> 2000-2012 1.372310 17415.4682
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6642803 11922.59333 5.3567086 1982-1999 –> 2000-2012 1.367906 17143.5150
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7823323 13851.47449 5.3644811 1982-1999 –> 2000-2012 1.656947 20133.5440
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 0.8666866 15056.94889 14.5382820 1982-1999 –> 2000-2012 1.718108 21205.9143
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.4527651 1003.21254 1.6442431 2000-2012 –> 2013-2019 1.313149 15974.0966
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.4552478 1009.86363 2.0996140 2000-2012 –> 2013-2019 1.139841 13283.6473
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.4451211 976.27603 1.9749935 2000-2012 –> 2013-2019 1.130337 13262.7643
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.4459970 979.38576 1.9399165 2000-2012 –> 2013-2019 1.111627 12923.9218
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.4274861 914.32421 1.5817092 2000-2012 –> 2013-2019 1.079874 12623.8949
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.4633284 1039.69790 2.3922371 2000-2012 –> 2013-2019 1.147179 13302.6679
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.4621349 1037.61730 3.2985145 2000-2012 –> 2013-2019 1.149538 13363.6940
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.4533130 1007.12593 2.2068922 2000-2012 –> 2013-2019 1.117593 12929.7193
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 0.4718071 1068.38608 1.6532164 2000-2012 –> 2013-2019 1.338494 16125.3350
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.4265610 910.89675 1.8158902 2000-2012 –> 2013-2019 1.333881 16510.1357
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.8933540 16729.31134 24.9448416 1982-1999 –> 2000-2012 11.197145 23576.7270
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.6516755 16512.06309 22.7071083 1982-1999 –> 2000-2012 10.847381 23315.8941
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.2905949 17070.85752 24.3775003 1982-1999 –> 2000-2012 11.486294 23872.6856
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.8346181 16678.86508 26.8184922 1982-1999 –> 2000-2012 10.883452 23419.2094
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 6.4526915 17204.07016 27.9782021 1982-1999 –> 2000-2012 11.899549 24110.4161
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.0436711 16863.18700 21.7411474 1982-1999 –> 2000-2012 11.034223 23577.8251
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.1895678 16988.08469 26.1442398 1982-1999 –> 2000-2012 11.401371 23798.7646
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 6.4611302 17210.91325 28.0889298 1982-1999 –> 2000-2012 11.920368 24122.2858
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.2239225 17017.06628 26.8801966 1982-1999 –> 2000-2012 11.476259 23844.8981
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 6.4443277 17197.27905 25.0488825 1982-1999 –> 2000-2012 11.936548 24121.9873
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.8077317 13601.67795 24.5696113 2000-2012 –> 2013-2019 11.701086 30330.9893
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.3969331 13289.99390 23.7650463 2000-2012 –> 2013-2019 11.048609 29802.0570
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 4.2615441 12278.00574 17.3640446 2000-2012 –> 2013-2019 11.467327 30060.0602
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.2583031 12276.75253 17.7782856 2000-2012 –> 2013-2019 11.016927 29725.3644
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.9088816 11910.64367 15.3313787 2000-2012 –> 2013-2019 10.720019 29399.7818
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.2380284 13907.30120 35.1972910 2000-2012 –> 2013-2019 12.528623 30978.1587
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.5904273 13440.61547 25.5381701 2000-2012 –> 2013-2019 11.425045 30119.4806
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.8542426 13637.78566 33.5318986 2000-2012 –> 2013-2019 11.897914 30500.9727
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.9852035 13732.38666 36.2146769 2000-2012 –> 2013-2019 12.174771 30720.4713
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.0502527 13778.60896 37.7459697 2000-2012 –> 2013-2019 12.274175 30795.6752
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.2908050 16090.54539 49.7747293 1982-1999 –> 2000-2012 9.523800 24831.1826
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.6668151 15438.47302 51.3140340 1982-1999 –> 2000-2012 8.541441 23911.3050
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.3793446 16179.04449 63.4746227 1982-1999 –> 2000-2012 8.904114 24363.2426
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.2556126 16057.76140 48.5055868 1982-1999 –> 2000-2012 9.485553 24798.1971
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.8498008 15638.93057 57.5812132 1982-1999 –> 2000-2012 8.780919 24155.9108
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.9877238 15785.08558 57.9434053 1982-1999 –> 2000-2012 8.997704 24362.6467
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.0149240 15813.43166 57.9934000 1982-1999 –> 2000-2012 9.037174 24400.3108
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 5.3215962 16120.79010 50.4147762 1982-1999 –> 2000-2012 9.858338 25072.7902
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 5.6657921 16447.44389 58.7073421 1982-1999 –> 2000-2012 9.839448 25145.0234
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5.0724128 15872.83975 59.0549921 1982-1999 –> 2000-2012 8.967571 24361.7917
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.3532904 8485.10033 27.3621215 2000-2012 –> 2013-2019 9.482538 24414.0139
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3053781 8454.65188 35.8841456 2000-2012 –> 2013-2019 8.972193 23893.1249
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2749230 8433.83795 33.7606860 2000-2012 –> 2013-2019 9.124724 24072.7685
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.2579212 8422.15383 32.7578665 2000-2012 –> 2013-2019 9.245645 24207.2394
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.2585849 8422.61082 32.5458542 2000-2012 –> 2013-2019 9.273509 24236.0425
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.3967491 8516.22520 28.0099063 2000-2012 –> 2013-2019 9.469162 24389.0649
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.3755479 8500.05287 27.2420019 2000-2012 –> 2013-2019 9.563839 24488.6201
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.3564523 8489.22914 27.3950819 2000-2012 –> 2013-2019 9.511046 24445.8348
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.3825302 8504.72789 26.9281482 2000-2012 –> 2013-2019 9.648257 24570.5103
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.3891937 8509.18253 26.8538581 2000-2012 –> 2013-2019 9.673015 24592.8440
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.9562039 14306.68527 22.0403024 1982-1999 –> 2000-2012 8.451790 20807.8538
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.1988172 14534.92806 43.9809496 1982-1999 –> 2000-2012 8.447124 20859.8139
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate 5.1642029 14501.30310 20.2088374 1982-1999 –> 2000-2012 8.874655 21147.4277
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.6699225 14027.02351 19.9716633 1982-1999 –> 2000-2012 8.196786 20551.8379
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.3897776 14705.69751 43.6441569 1982-1999 –> 2000-2012 8.874216 21201.1040
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.1480409 14486.46423 27.6306921 1982-1999 –> 2000-2012 8.802063 21095.3481
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.0041979 14354.30703 28.2900412 1982-1999 –> 2000-2012 8.634967 20949.6780
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 5.0699035 14414.06038 30.3019259 1982-1999 –> 2000-2012 8.760516 21047.1569
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 5.0815037 14424.87957 14.5008622 1982-1999 –> 2000-2012 8.873761 21123.9965
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.9665067 14318.51599 30.0423848 1982-1999 –> 2000-2012 8.488108 20839.7020
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3898813 7025.13201 19.9212543 2000-2012 –> 2013-2019 8.588698 21560.0601
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.4891737 7101.81084 15.1199711 2000-2012 –> 2013-2019 8.159096 21128.8344
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5427217 7142.26262 20.9595469 2000-2012 –> 2013-2019 8.932499 21847.9601
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5899795 7177.45783 21.3733566 2000-2012 –> 2013-2019 8.967651 21872.5103
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.5500070 7147.71883 23.7511970 2000-2012 –> 2013-2019 8.554205 21502.0259
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5920578 7178.99496 21.2821443 2000-2012 –> 2013-2019 8.954253 21860.4040
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6212818 7198.51606 17.8520816 2000-2012 –> 2013-2019 8.691185 21612.5764
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.9175106 7407.35297 19.9641819 2000-2012 –> 2013-2019 8.999014 21832.2325
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3722761 7011.30224 22.5104620 2000-2012 –> 2013-2019 8.338783 21329.8182
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.7898264 7319.34326 25.6705447 2000-2012 –> 2013-2019 9.087051 21941.0425
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.6295819 19898.56757 13.3846085 1982-1999 –> 2000-2012 8.037882 29459.5668
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3539432 19484.95778 16.1026512 1982-1999 –> 2000-2012 7.533622 28795.3019
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3550272 19488.63518 16.0321834 1982-1999 –> 2000-2012 7.500119 28761.4973
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.8050873 20151.27940 27.0231501 1982-1999 –> 2000-2012 7.928164 29398.7829
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.2784959 19369.17488 24.1640169 1982-1999 –> 2000-2012 7.419532 28637.3787
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5954088 19850.64681 13.9537059 1982-1999 –> 2000-2012 8.063278 29476.1959
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.7341229 20049.02651 21.3138204 1982-1999 –> 2000-2012 8.126593 29593.2200
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.7205113 20031.62546 20.2821845 1982-1999 –> 2000-2012 8.020743 29478.3069
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.4013220 19557.88343 25.3625395 1982-1999 –> 2000-2012 7.683076 28982.2960
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4008620 19559.17911 25.4085023 1982-1999 –> 2000-2012 7.656367 28956.6017
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.9480520 9829.23745 14.7874720 2000-2012 –> 2013-2019 8.577634 29727.8050
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.1998966 10046.65850 14.8871723 2000-2012 –> 2013-2019 8.553840 29531.6163
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8968893 9785.37590 13.8063707 2000-2012 –> 2013-2019 8.251917 29274.0111
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9987578 9876.10675 19.0049921 2000-2012 –> 2013-2019 8.277254 29245.2816
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9828680 9867.70939 14.9082624 2000-2012 –> 2013-2019 8.578277 29718.3562
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.0223775 9896.81386 15.3022167 2000-2012 –> 2013-2019 8.751129 29940.1914
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.0087541 9884.88528 15.1293784 2000-2012 –> 2013-2019 8.701385 29876.5969
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.0412360 9913.25971 15.0992513 2000-2012 –> 2013-2019 8.761747 29944.8852
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.0652755 9932.11288 19.8699457 2000-2012 –> 2013-2019 8.466598 29489.9963
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9146476 9801.36212 18.6983891 2000-2012 –> 2013-2019 8.315510 29360.5412
Indo-Pacific (27,27.25] cstar_tref ~ aou + phosphate + phosphate_star 6.1593550 28669.60642 60.0579870 1982-1999 –> 2000-2012 9.057957 39332.3937
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.8697832 28245.24764 55.6022390 1982-1999 –> 2000-2012 8.767829 38909.2120
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.3509722 28942.85609 65.1221806 1982-1999 –> 2000-2012 9.158381 39470.5059
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.0035022 28446.68671 59.9555789 1982-1999 –> 2000-2012 8.812027 38978.0418
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3301490 25553.72137 36.7524973 1982-1999 –> 2000-2012 7.133659 36077.4097
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.1809502 28704.59496 57.5466902 1982-1999 –> 2000-2012 9.249689 39616.0755
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.1175749 28613.34334 53.6583681 1982-1999 –> 2000-2012 9.434135 39857.9917
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.3262928 25543.83302 34.1295535 1982-1999 –> 2000-2012 7.172634 36130.5663
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 6.1034331 28590.85224 55.8355244 1982-1999 –> 2000-2012 9.222899 39570.6680
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.5770602 23862.07032 17.8175644 1982-1999 –> 2000-2012 6.414556 34437.4513
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.9143647 15501.10370 20.2897654 2000-2012 –> 2013-2019 10.784148 43746.3513
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.8522273 15437.64805 22.6671250 2000-2012 –> 2013-2019 10.440902 43250.3818
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate 4.8938719 15477.60844 23.9968724 2000-2012 –> 2013-2019 10.601786 43473.2624
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 4.8607826 15444.70982 23.5155908 2000-2012 –> 2013-2019 10.225053 42892.5899
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 5.0058640 15595.99778 24.7585859 2000-2012 –> 2013-2019 10.761782 43667.8025
Indo-Pacific (27,27.25] cstar_tref ~ sal + phosphate + phosphate_star 4.9057201 15490.04709 24.0851736 2000-2012 –> 2013-2019 10.736902 43674.8761
Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.8823123 15467.44362 23.7595638 2000-2012 –> 2013-2019 10.424996 43205.0123
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3505706 14876.27908 19.6968716 2000-2012 –> 2013-2019 8.680720 40430.0005
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.4631271 15005.67048 21.2045706 2000-2012 –> 2013-2019 8.789420 40549.5035
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0162324 14464.95069 17.2098461 2000-2012 –> 2013-2019 7.593293 38327.0210
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4038561 30032.24415 12.8418945 1982-1999 –> 2000-2012 5.952800 42798.8527
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.8879742 31540.09120 22.8893588 1982-1999 –> 2000-2012 6.501775 44440.7840
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5862922 30625.03547 12.2730896 1982-1999 –> 2000-2012 6.169278 43463.4978
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.5920364 30641.20684 12.2151964 1982-1999 –> 2000-2012 6.329257 43791.7816
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.6558732 30841.21540 14.5577945 1982-1999 –> 2000-2012 6.352791 43911.4519
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5299786 30445.33534 11.7418245 1982-1999 –> 2000-2012 6.139949 43340.0865
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5725155 30581.33523 12.2080551 1982-1999 –> 2000-2012 6.253117 43620.7049
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5492479 30507.14534 11.9581254 1982-1999 –> 2000-2012 6.215686 43517.8230
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.2541730 32564.08916 30.0945779 1982-1999 –> 2000-2012 6.571654 44815.1043
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2247570 29418.54534 26.7242348 1982-1999 –> 2000-2012 5.401048 41329.1173
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4667944 18191.28923 11.9161741 2000-2012 –> 2013-2019 6.870650 48223.5334
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.9989349 19164.31178 17.4284605 2000-2012 –> 2013-2019 7.886909 50704.4030
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6657834 18572.37157 19.3472217 2000-2012 –> 2013-2019 7.252076 49197.4070
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.6871572 18610.06741 16.0281107 2000-2012 –> 2013-2019 7.279194 49251.2742
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.8638996 18929.76241 15.4027671 2000-2012 –> 2013-2019 7.519773 49770.9778
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6212289 18488.87441 19.1115098 2000-2012 –> 2013-2019 7.151207 48934.2098
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6529648 18548.45338 19.5842437 2000-2012 –> 2013-2019 7.225480 49129.7886
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 3.5783445 18405.53135 18.0531175 2000-2012 –> 2013-2019 7.595663 50317.1966
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6331125 18511.24485 19.3837530 2000-2012 –> 2013-2019 7.182360 49018.3902
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.4358824 18130.13370 17.1143416 2000-2012 –> 2013-2019 6.660639 47548.6790
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.3973852 34972.21099 22.7060843 1982-1999 –> 2000-2012 5.442133 48056.1312
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0942383 33735.49150 13.1795367 1982-1999 –> 2000-2012 5.331042 47369.1845
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.3492821 34781.52216 19.8167513 1982-1999 –> 2000-2012 5.602445 48457.8424
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.3252264 34688.14227 14.4558559 1982-1999 –> 2000-2012 5.703125 48696.4360
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0510165 33549.35724 12.3051273 1982-1999 –> 2000-2012 5.277164 47153.8061
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.0620397 33597.07788 12.5190945 1982-1999 –> 2000-2012 5.316535 47279.0174
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.6757370 36014.19891 25.5909454 1982-1999 –> 2000-2012 5.732773 49134.8118
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.0454980 33523.40247 12.1618151 1982-1999 –> 2000-2012 5.407243 47487.9512
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0519699 33553.49138 12.3284069 1982-1999 –> 2000-2012 5.302437 47224.4804
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0780940 33666.27211 23.2243802 1982-1999 –> 2000-2012 5.129200 46769.2051
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.5528957 20948.77815 14.1513103 2000-2012 –> 2013-2019 6.950281 55920.9891
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.9775749 19572.29175 16.9913600 2000-2012 –> 2013-2019 6.071813 53307.7832
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.6124577 21076.32300 14.2478510 2000-2012 –> 2013-2019 6.961740 55857.8452
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.9738799 19562.61630 16.6204976 2000-2012 –> 2013-2019 6.299106 54250.7586
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 2.9939777 19613.09825 17.1039657 2000-2012 –> 2013-2019 6.402546 54626.7925
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9716975 19556.89605 16.5383290 2000-2012 –> 2013-2019 6.022714 53106.2533
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9720348 19557.78045 16.5543961 2000-2012 –> 2013-2019 6.034075 53154.8583
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.1043806 19895.25726 10.2878879 2000-2012 –> 2013-2019 6.149879 53418.6597
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9717334 19556.99011 16.4513119 2000-2012 –> 2013-2019 6.023703 53110.4815
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7793747 21430.28950 21.5252259 2000-2012 –> 2013-2019 6.857469 55096.5616
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.0279108 13161.52665 9.3368239 1982-1999 –> 2000-2012 4.716452 18108.2474
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0163025 13143.53740 11.7705424 1982-1999 –> 2000-2012 4.683155 18059.4221
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.0686425 13233.06461 10.3679731 1982-1999 –> 2000-2012 4.554535 17857.0481
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0129138 13137.68751 11.3089385 1982-1999 –> 2000-2012 4.735823 18137.5870
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.0126357 13137.20712 11.1988108 1982-1999 –> 2000-2012 4.764437 18179.3488
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0126181 13137.17680 11.0960440 1982-1999 –> 2000-2012 4.771308 18189.2861
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.1135345 13306.64370 9.6649509 1982-1999 –> 2000-2012 4.706032 18104.6188
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.9942241 13105.30563 8.5027676 1982-1999 –> 2000-2012 4.581864 17897.5214
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.3916242 13751.84779 16.1166122 1982-1999 –> 2000-2012 4.694247 18039.4763
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0263470 13160.83814 10.0156711 1982-1999 –> 2000-2012 4.324953 17442.6216
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5959421 7213.34226 11.0721454 2000-2012 –> 2013-2019 5.612245 20356.8797
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.8974370 7546.70924 8.9816872 2000-2012 –> 2013-2019 5.966080 20779.7738
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6025391 7221.04271 10.1285153 2000-2012 –> 2013-2019 5.615453 20358.7302
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6049972 7223.90700 9.8174846 2000-2012 –> 2013-2019 5.617633 20361.1141
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6070817 7226.33379 9.6857097 2000-2012 –> 2013-2019 5.619700 20363.5106
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.9727477 7624.56208 9.9655531 2000-2012 –> 2013-2019 5.966972 20729.8677
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2.9935705 7643.73982 10.1336389 2000-2012 –> 2013-2019 6.019683 20802.1751
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.9571261 7608.57656 9.7957652 2000-2012 –> 2013-2019 5.983473 20769.4147
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2.9908382 7640.96940 10.1171251 2000-2012 –> 2013-2019 6.015590 20797.0642
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.9883473 7638.44144 10.1094731 2000-2012 –> 2013-2019 6.012709 20793.8649
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate 3.0777071 16039.84985 8.9149062 1982-1999 –> 2000-2012 5.540258 22437.5053
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate_star 3.3121937 16504.72648 23.3849571 1982-1999 –> 2000-2012 5.530992 22617.3264
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate 2.9987698 15878.05486 12.9235880 1982-1999 –> 2000-2012 5.117130 21863.0807
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.3175200 16516.85564 25.4347409 1982-1999 –> 2000-2012 5.326178 22357.4362
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate 3.4896022 16831.65045 24.0736179 1982-1999 –> 2000-2012 5.610932 22818.5337
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate 3.2333462 16352.84339 22.5991225 1982-1999 –> 2000-2012 5.353477 22340.1700
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate_star 3.3629009 16600.50462 26.3364427 1982-1999 –> 2000-2012 5.457502 22554.4668
Indo-Pacific (27.85,27.95] cstar_tref ~ nitrate + silicate + phosphate_star 3.5302485 16906.65400 29.3199459 1982-1999 –> 2000-2012 5.579049 22799.7292
Indo-Pacific (27.85,27.95] cstar_tref ~ silicate + phosphate + phosphate_star 3.3938618 16658.27760 27.0491955 1982-1999 –> 2000-2012 5.469736 22587.5068
Indo-Pacific (27.85,27.95] cstar_tref ~ silicate + phosphate_star 3.4551605 16769.12207 27.5169977 1982-1999 –> 2000-2012 5.579633 22760.0823
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate 3.0257951 9208.10150 10.7603219 2000-2012 –> 2013-2019 6.103502 25247.9514
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate_star 3.0175586 9200.17406 10.5809720 2000-2012 –> 2013-2019 6.329752 25704.9005
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate 3.0018840 9181.20657 10.5462737 2000-2012 –> 2013-2019 6.000654 25059.2614
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.0065574 9188.87213 10.6703993 2000-2012 –> 2013-2019 6.324077 25705.7278
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate 2.9332744 9097.00082 11.8457773 2000-2012 –> 2013-2019 7.244437 27263.4416
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate_star 3.0080557 9190.68663 18.6560943 2000-2012 –> 2013-2019 7.382475 27450.9538
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate 2.9992451 9178.00353 11.1001573 2000-2012 –> 2013-2019 7.062052 26970.4066
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.0469965 9237.53152 16.1952039 2000-2012 –> 2013-2019 7.110547 27033.0881
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 2.9931402 9172.58282 10.7294369 2000-2012 –> 2013-2019 6.902914 26724.9457
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.0442738 9236.27576 16.0945715 2000-2012 –> 2013-2019 6.945430 26776.7292
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.7962366 15505.79767 8.3624973 1982-1999 –> 2000-2012 3.613915 22375.8924
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.7270954 15200.45345 9.0504877 1982-1999 –> 2000-2012 3.759737 22448.5871
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6985496 15073.65596 8.8597252 1982-1999 –> 2000-2012 3.709637 22287.5436
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 1.6713667 14946.97966 8.8211350 1982-1999 –> 2000-2012 3.456963 21754.5286
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6715397 14949.77963 8.8482604 1982-1999 –> 2000-2012 3.565187 21959.0866
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.6201965 14708.68376 8.5812047 1982-1999 –> 2000-2012 3.353669 21417.5057
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.7248099 15192.22011 11.1538077 1982-1999 –> 2000-2012 3.454942 21894.4834
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7775533 15422.99516 8.7118493 1982-1999 –> 2000-2012 3.715852 22509.5430
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.7769456 15420.35275 12.6831512 1982-1999 –> 2000-2012 3.509097 22124.5811
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6941898 15053.79459 10.9064310 1982-1999 –> 2000-2012 3.274324 21447.7195
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.6257793 8403.29320 7.4180279 2000-2012 –> 2013-2019 3.422016 23909.0909
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7166683 8642.86242 14.5187162 2000-2012 –> 2013-2019 3.415218 23716.5184
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 1.7349778 8687.58571 16.5300604 2000-2012 –> 2013-2019 3.406344 23634.5654
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.7624989 8758.89574 17.2552675 2000-2012 –> 2013-2019 3.434039 23708.6754
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.6230024 8395.76451 13.8010861 2000-2012 –> 2013-2019 3.243199 23104.4483
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7201487 8651.78211 14.4805689 2000-2012 –> 2013-2019 3.433985 23794.6760
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.7213150 8654.76713 14.4636175 2000-2012 –> 2013-2019 3.440607 23822.2254
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.7148684 8638.24264 13.6515228 2000-2012 –> 2013-2019 3.472759 23977.2752
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.7213207 8654.78171 14.4528380 2000-2012 –> 2013-2019 3.442044 23828.6684
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.7691282 8775.42949 16.4364966 2000-2012 –> 2013-2019 3.463318 23829.2241
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.6656616 8481.01649 10.2841943 1982-1999 –> 2000-2012 3.398586 12694.3264
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5658128 8211.63832 7.6428833 1982-1999 –> 2000-2012 3.314752 12446.5788
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.6038987 8317.14017 8.4852392 1982-1999 –> 2000-2012 3.246881 12418.7142
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5706067 8225.05831 7.5965698 1982-1999 –> 2000-2012 3.311985 12450.7541
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5719308 8228.75769 7.5586980 1982-1999 –> 2000-2012 3.306818 12446.4842
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5683393 8218.71607 7.4783641 1982-1999 –> 2000-2012 3.239701 12356.8363
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5716628 8228.00905 7.5504545 1982-1999 –> 2000-2012 3.300875 12438.7431
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5594436 8191.74498 7.3315947 1982-1999 –> 2000-2012 3.236809 12335.5165
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5705747 8224.96887 8.5273754 1982-1999 –> 2000-2012 3.119513 12200.7572
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate_star 1.6767899 8508.24855 10.0268159 1982-1999 –> 2000-2012 3.380932 12683.8171
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5403116 4626.50074 12.5007260 2000-2012 –> 2013-2019 3.106124 12838.1391
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.3618938 4319.71444 7.0319166 2000-2012 –> 2013-2019 2.965793 12636.8546
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5358381 4619.25281 12.3080055 2000-2012 –> 2013-2019 3.106445 12844.3111
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5327249 4614.19635 12.2100387 2000-2012 –> 2013-2019 3.104656 12842.9540
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate 1.3986491 4384.07793 5.7242813 2000-2012 –> 2013-2019 3.130108 13035.1722
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5290182 4608.16242 12.1240680 2000-2012 –> 2013-2019 3.097358 12826.8785
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate 1.3945683 4376.79649 5.7534989 2000-2012 –> 2013-2019 3.104899 12973.9912
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5305558 4610.66720 12.1650476 2000-2012 –> 2013-2019 3.102219 12838.6763
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.4958960 4551.58648 11.4304899 2000-2012 –> 2013-2019 3.055340 12743.3315
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6071915 4732.41961 14.4197342 2000-2012 –> 2013-2019 3.177766 12957.3885
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.6061086 89832.69004 10.3750762 1982-1999 –> 2000-2012 3.273684 136289.9366
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.5924289 89424.77912 10.3143452 1982-1999 –> 2000-2012 3.027383 132265.2897
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5584115 88402.08479 9.4055280 1982-1999 –> 2000-2012 2.918335 129952.4726
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5584318 88402.70388 9.4114827 1982-1999 –> 2000-2012 2.917700 129941.4923
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5584742 88403.99481 9.4184635 1982-1999 –> 2000-2012 2.916828 129926.6046
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5698334 88748.61438 9.1989017 1982-1999 –> 2000-2012 2.950350 130660.6029
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5584603 88403.56976 9.4190248 1982-1999 –> 2000-2012 2.916866 129927.0923
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5706001 88769.78638 8.8278213 1982-1999 –> 2000-2012 2.958239 130803.5986
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4921754 86341.06416 7.9456086 1982-1999 –> 2000-2012 2.855000 127942.7200
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5963271 89542.80359 9.1750186 1982-1999 –> 2000-2012 3.105057 133591.5762
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.4759711 53737.24640 8.5910833 2000-2012 –> 2013-2019 3.082080 143569.9364
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.3650644 51414.46258 9.6352019 2000-2012 –> 2013-2019 2.957493 140839.2417
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.3184006 50383.08279 10.6262292 2000-2012 –> 2013-2019 2.876812 138785.1676
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3188603 50393.43993 10.6291131 2000-2012 –> 2013-2019 2.877292 138796.1438
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3193799 50405.14170 10.6325253 2000-2012 –> 2013-2019 2.877854 138809.1365
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3329135 50708.34267 10.9235368 2000-2012 –> 2013-2019 2.902747 139456.9571
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3193046 50403.44646 10.6307273 2000-2012 –> 2013-2019 2.877765 138807.0162
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3602696 51309.92385 11.8545352 2000-2012 –> 2013-2019 2.930870 140079.7102
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.5187143 54585.40745 14.1226668 2000-2012 –> 2013-2019 3.010890 140926.4716
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.3728492 51585.41590 11.2365713 2000-2012 –> 2013-2019 2.969176 141128.2195

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 2.496553 347.1539
Atlantic (26,26.5] 1982-1999 –> 2000-2012 7.538830 4003.2590
Atlantic (26,26.5] 2000-2012 –> 2013-2019 4.647042 2322.7591
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.875945 5121.7043
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 5.064032 3533.7094
Atlantic (26.75,27] 1982-1999 –> 2000-2012 4.576029 7969.0509
Atlantic (26.75,27] 2000-2012 –> 2013-2019 4.365543 5459.4348
Atlantic (27,27.25] 1982-1999 –> 2000-2012 3.903584 9179.4605
Atlantic (27,27.25] 2000-2012 –> 2013-2019 3.974488 6598.8219
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 4.925827 16575.4648
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 6.164901 13708.1712
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 4.155049 28705.2460
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 5.069095 22031.7614
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 2.077602 7700.1126
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 2.431897 6388.2182
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 2.817896 9167.0608
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 3.019134 6879.9548
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 8.079200 17749.2369
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 5.211004 11526.6278
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 2.426297 5930.9997
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 1.967980 4230.6372
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 2.216580 7543.6765
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.785696 5711.3271
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.906585 12334.6192
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.672060 9391.9024
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 1.447340 18180.6912
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 1.186151 14029.9877
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 11.408259 23776.0693
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 11.625450 30243.3011
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 9.193606 24540.2401
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 9.396393 24331.0063
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 8.640399 20962.3919
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.727244 21648.7464
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 7.796938 29153.9148
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 8.523529 29610.9281
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 8.442377 38238.0316
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 9.903900 42321.6801
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.188735 43502.9204
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 7.262395 49209.5860
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.424410 47762.8866
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 6.377332 54185.0983
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.653281 18001.5178
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.842954 20611.2395
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 5.456488 22513.5837
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.740584 26393.7406
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 3.541332 22021.9471
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 3.417353 23732.5367
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.285685 12447.2528
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.095071 12853.7697
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 2.983944 131130.1386
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 2.936298 140119.8001

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

6.1.2 Best models

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

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

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

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

6.2.2 Best models

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

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

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

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 8 3 6 8 8 7 9
(26,26.5] 7 5 4 8 7 9 9
(26.5,26.75] 8 1 7 8 4 10 8
(26.75,27] 8 1 7 8 4 10 8
(27,27.25] 8 3 5 8 8 10 6
(27.25,27.5] 8 4 5 6 8 9 8
(27.5,27.75] 6 2 5 9 10 6 9
(27.75,27.85] 7 3 5 6 10 9 7
(27.85,27.95] 7 1 7 8 8 8 8
(27.95,28.05] 6 5 3 9 7 8 9
(28.05,28.1] 9 1 9 9 5 4 6
(28.1,28.15] 9 1 8 8 6 8 7
(28.15,28.2] 5 6 4 8 4 6 8
(28.2, Inf] 9 10 0 5 8 6 5
total 105.00 46.00 75.00 108.00 97.00 110.00 107.00
Atlantic - 2000-2012 --> 2013-2019
(26,26.5] 8 6 3 8 8 8 8
(26.5,26.75] 8 1 7 8 4 10 8
(26.75,27] 9 2 6 7 7 10 5
(27,27.25] 9 4 4 6 8 10 6
(27.25,27.5] 7 6 2 6 8 10 8
(27.5,27.75] 5 3 5 8 10 10 5
(27.75,27.85] 7 3 5 7 10 8 8
(27.85,27.95] 7 2 6 9 8 7 9
(27.95,28.05] 9 3 6 9 6 6 9
(28.05,28.1] 10 1 9 8 5 5 6
(28.1,28.15] 9 1 8 8 5 8 8
(28.15,28.2] 7 5 5 8 6 6 8
(28.2, Inf] 10 10 0 5 7 6 5
total 105.00 47.00 66.00 97.00 92.00 104.00 93.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 7 0 7 8 10 5 8
(26,26.5] 8 3 5 9 8 6 8
(26.5,26.75] 7 2 7 8 8 5 8
(26.75,27] 10 3 7 9 5 5 7
(27,27.25] 9 0 10 8 5 6 6
(27.25,27.5] 8 2 6 8 8 10 5
(27.5,27.75] 7 3 5 7 9 10 7
(27.75,27.85] 9 3 6 9 5 7 8
(27.85,27.95] 7 5 2 6 0 8 0
(27.95,28.05] 9 4 5 8 8 5 7
(28.05,28.1] 6 2 5 8 7 10 8
(28.1, Inf] 7 3 5 8 8 10 7
total 94.00 30.00 70.00 96.00 81.00 87.00 79.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 9 3 6 6 10 5 8
(26,26.5] 8 1 7 8 4 10 8
(26.5,26.75] 6 2 6 9 7 8 9
(26.75,27] 9 1 8 9 6 7 7
(27,27.25] 8 1 8 8 7 6 3
(27.25,27.5] 7 1 7 7 9 10 5
(27.5,27.75] 8 2 5 6 9 10 7
(27.75,27.85] 8 2 6 8 5 9 9
(27.85,27.95] 10 10 0 5 2 4 4
(27.95,28.05] 8 5 4 7 9 8 8
(28.05,28.1] 5 3 5 6 9 10 9
(28.1, Inf] 7 3 5 8 8 10 7
total 93.00 34.00 67.00 87.00 85.00 97.00 84.00

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

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

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.3      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            MASS_7.3-53              plyr_1.8.6              
[55] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[58] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[61] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[64] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[67] RcppArmadillo_0.10.1.2.2 data.table_1.13.6        modelr_0.1.8            
[70] vctrs_0.3.6              httpuv_1.5.4             cellranger_1.1.0        
[73] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[76] xfun_0.20                openxlsx_4.2.3           RcppEigen_0.3.3.9.1     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_1.0.1