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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

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


#remove temp sal predictor combination
lm_all <- lm_all %>%
 # mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
  filter(!(
    str_detect(lm_coeff, "nitrate") &
      str_detect(lm_coeff, "phosphate")
  )) %>%
  filter(!(
    str_detect(lm_coeff, "temp") &
      str_detect(lm_coeff, "sal")
  )) %>%
  filter(!(
    str_detect(lm_coeff, "oxygen") &
      str_detect(lm_coeff, "aou")
  ))
 # select(-lm_coeff_filter)

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

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

3 Apply predictor threshold

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

  • Minimum: 3
  • Maximum: 9
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:

  • 28

4 Fit all models

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

  • cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate 158 1.9080853 662.5523 8.109318 1982-1999 –> 2000-2012 3.9597549 1561.7907
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate 158 1.8141356 648.5971 8.957183 1982-1999 –> 2000-2012 3.6424610 1501.8901
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate 158 1.9223248 664.9017 6.746550 1982-1999 –> 2000-2012 3.9892697 1567.2259
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate 158 1.9454291 668.6771 7.421781 1982-1999 –> 2000-2012 4.0454974 1577.6150
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate 158 1.8736520 658.7976 7.056359 1982-1999 –> 2000-2012 3.8792015 1550.5780
Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate 158 1.8148164 646.7156 8.871634 1982-1999 –> 2000-2012 3.6615821 1502.1834
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + nitrate + silicate 158 1.6268394 614.1625 8.329023 1982-1999 –> 2000-2012 3.2947666 1429.2589
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + phosphate 158 2.1512163 700.4511 5.723591 1982-1999 –> 2000-2012 4.4718320 1650.9319
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + silicate + phosphate 158 1.9768012 675.7322 6.515418 1982-1999 –> 2000-2012 4.0711490 1585.5354
Atlantic (-Inf,26] cstar_tref ~ sal + silicate + phosphate 158 1.9790736 674.0953 6.354908 1982-1999 –> 2000-2012 4.0762175 1582.4535
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate 72 1.8528568 303.1361 4.972908 2000-2012 –> 2013-2019 3.7609421 965.6883
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate 72 1.8267354 303.0915 5.401629 2000-2012 –> 2013-2019 3.6408710 951.6886
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate 72 1.8358840 301.8109 4.689169 2000-2012 –> 2013-2019 3.7582088 966.7126
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate 72 1.8477634 302.7397 4.871193 2000-2012 –> 2013-2019 3.7931925 971.4167
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate 72 1.8344756 303.7004 4.732561 2000-2012 –> 2013-2019 3.7081276 962.4980
Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate 72 1.8325789 301.5514 5.631280 2000-2012 –> 2013-2019 3.6473953 948.2671
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + nitrate + silicate 72 1.7125308 293.7952 5.378554 2000-2012 –> 2013-2019 3.3393703 907.9577
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + phosphate 72 2.0653128 318.7677 4.901122 2000-2012 –> 2013-2019 4.2165292 1019.2189
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + silicate + phosphate 72 1.9854370 315.0880 4.406552 2000-2012 –> 2013-2019 3.9622382 990.8202
Atlantic (-Inf,26] cstar_tref ~ sal + silicate + phosphate 72 1.9924896 313.5986 4.272959 2000-2012 –> 2013-2019 3.9715632 987.6939
Atlantic (26,26.5] cstar_tref ~ aou + silicate + phosphate 1046 5.0991011 6386.4219 16.115317 1982-1999 –> 2000-2012 10.0892520 15626.9562
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate 1046 4.9050123 6305.2383 13.930998 1982-1999 –> 2000-2012 9.7941386 15483.3923
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate 1046 4.8250767 6272.8647 13.480356 1982-1999 –> 2000-2012 9.6457742 15410.0291
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate 1046 4.9993120 6347.0757 14.797906 1982-1999 –> 2000-2012 9.8741048 15518.2748
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate 1046 4.4785382 6114.9481 12.275335 1982-1999 –> 2000-2012 8.9909426 15048.5425
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 1046 4.0405761 5901.6616 14.579174 1982-1999 –> 2000-2012 8.1249524 14533.2897
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 1046 4.5165005 6134.6062 12.512217 1982-1999 –> 2000-2012 8.9089979 14988.0574
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + nitrate 1046 4.4337456 6093.9194 12.147787 1982-1999 –> 2000-2012 8.8915998 14990.4179
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate 1046 3.9974267 5879.2009 14.350644 1982-1999 –> 2000-2012 8.0360096 14476.4398
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 1046 4.4898702 6122.2348 12.384079 1982-1999 –> 2000-2012 8.8545410 14956.3028
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate 567 4.8063822 3399.3935 14.384380 2000-2012 –> 2013-2019 9.7113945 9704.6319
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + silicate 567 4.7441707 3386.6198 15.661752 2000-2012 –> 2013-2019 9.5692474 9659.4845
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate 567 4.9425281 3433.0688 14.248584 2000-2012 –> 2013-2019 9.9418401 9780.1444
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate 567 4.3273734 3280.3418 12.473922 2000-2012 –> 2013-2019 8.8059117 9395.2899
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 567 3.8959809 3163.2545 13.662757 2000-2012 –> 2013-2019 7.9365570 9064.9161
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 567 4.4772850 3320.9614 11.976451 2000-2012 –> 2013-2019 8.9937856 9455.5676
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + nitrate 567 4.2852908 3269.2599 12.306864 2000-2012 –> 2013-2019 8.7190363 9363.1793
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate 567 3.8537522 3150.8959 13.395954 2000-2012 –> 2013-2019 7.8511788 9030.0968
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 567 4.4550925 3315.3265 11.906159 2000-2012 –> 2013-2019 8.9449627 9437.5613
Atlantic (26,26.5] cstar_tref ~ temp + silicate + phosphate 567 4.8767953 3415.8860 13.895158 2000-2012 –> 2013-2019 10.0528007 9833.6237
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + phosphate 1397 4.4696102 8157.9738 13.289697 1982-1999 –> 2000-2012 8.3423693 18688.3782
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 1397 3.3316510 7339.0038 10.073920 1982-1999 –> 2000-2012 6.4785991 17084.0238
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + phosphate 1397 4.5494314 8207.4306 15.152424 1982-1999 –> 2000-2012 8.5454968 18856.7504
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate 1397 3.5707269 7532.6314 10.111585 1982-1999 –> 2000-2012 6.9903542 17592.9269
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate 1397 4.8775543 8404.0094 43.243025 1982-1999 –> 2000-2012 9.9108659 19930.8626
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + phosphate 1397 4.7432936 8324.0228 13.002337 1982-1999 –> 2000-2012 8.8743906 19099.4277
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 1397 3.4027533 7398.0044 10.818893 1982-1999 –> 2000-2012 6.5639402 17160.1523
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate + silicate 1397 4.8804642 8405.6758 43.100780 1982-1999 –> 2000-2012 9.9136680 19932.4478
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + phosphate 1397 4.7650595 8336.8145 13.149424 1982-1999 –> 2000-2012 8.9308211 19143.9225
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 1397 3.4413502 7429.5180 10.920943 1982-1999 –> 2000-2012 6.6456964 17243.1144
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate 656 4.4225181 3824.2099 16.181180 2000-2012 –> 2013-2019 9.4236207 12298.1097
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + phosphate 656 4.8879475 3953.4929 16.075909 2000-2012 –> 2013-2019 9.3575577 12111.4667
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 656 3.3850399 3473.4551 10.375376 2000-2012 –> 2013-2019 6.7166909 10812.4589
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate 656 3.5841303 3548.4361 11.020116 2000-2012 –> 2013-2019 7.1548572 11081.0675
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate 656 4.2656128 3774.8160 15.613333 2000-2012 –> 2013-2019 9.1433043 12176.9040
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate 656 4.2164808 3761.6165 16.747485 2000-2012 –> 2013-2019 9.0940352 12165.6259
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 656 3.4910702 3513.9207 11.381386 2000-2012 –> 2013-2019 6.8938235 10911.9252
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate 656 4.2713148 3776.5686 15.597676 2000-2012 –> 2013-2019 9.1519646 12180.3506
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate + silicate 656 4.2230169 3763.6487 16.721921 2000-2012 –> 2013-2019 9.1034811 12169.3244
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 656 3.5288346 3528.0369 11.412513 2000-2012 –> 2013-2019 6.9701847 10957.5549
Atlantic (26.75,27] cstar_tref ~ sal + aou + phosphate 2398 4.1540169 13645.0967 16.648979 1982-1999 –> 2000-2012 7.4484953 30053.3473
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2398 2.1776482 10549.6945 20.348896 1982-1999 –> 2000-2012 4.1329846 23683.7595
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + phosphate 2398 4.1400806 13628.9796 35.392214 1982-1999 –> 2000-2012 7.4916362 30145.1000
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + silicate + phosphate 2398 2.5470452 11301.1723 39.382843 1982-1999 –> 2000-2012 4.9052728 25611.7832
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate 2398 4.1384576 13629.0991 33.265184 1982-1999 –> 2000-2012 8.4011217 31657.3694
Atlantic (26.75,27] cstar_tref ~ temp + aou + phosphate 2398 4.6607625 14197.1320 13.926842 1982-1999 –> 2000-2012 8.3485145 31313.5731
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2398 2.2004206 10599.5875 15.280820 1982-1999 –> 2000-2012 3.9880121 23170.3800
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + nitrate + silicate 2398 4.2013181 13701.3995 42.353167 1982-1999 –> 2000-2012 8.4788652 31751.5582
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + phosphate 2398 4.7397900 14277.7708 25.082500 1982-1999 –> 2000-2012 8.4886113 31497.3573
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 2398 2.3001008 10812.0716 20.719299 1982-1999 –> 2000-2012 4.1580260 23625.2168
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate 1263 3.9324060 7054.9679 30.783813 2000-2012 –> 2013-2019 8.1861080 20815.7964
Atlantic (26.75,27] cstar_tref ~ sal + aou + phosphate 1263 4.8927680 7604.9160 13.205572 2000-2012 –> 2013-2019 9.0467849 21250.0126
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 1263 2.5846959 5994.9482 24.744636 2000-2012 –> 2013-2019 4.7623441 16544.6427
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + nitrate + silicate 1263 4.0531086 7131.3357 28.220644 2000-2012 –> 2013-2019 8.5058872 21111.5267
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + phosphate 1263 4.7966447 7554.7962 13.118685 2000-2012 –> 2013-2019 8.9367253 21183.7758
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + silicate + phosphate 1263 2.7359170 6138.5735 23.435321 2000-2012 –> 2013-2019 5.2829621 17439.7458
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate 1263 3.8877074 7026.0911 32.715620 2000-2012 –> 2013-2019 8.0261650 20655.1902
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 1263 2.7633578 6163.7827 28.240304 2000-2012 –> 2013-2019 4.9637784 16763.3702
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + nitrate + silicate 1263 3.9268084 7051.3697 32.630621 2000-2012 –> 2013-2019 8.1281265 20752.7692
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 1263 2.8252828 6219.7637 28.536665 2000-2012 –> 2013-2019 5.1253837 17031.8354
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 2031 2.6059577 9666.3129 19.256357 1982-1999 –> 2000-2012 5.6979390 22982.6667
Atlantic (27,27.25] cstar_tref ~ sal + aou + phosphate 2031 3.0847599 10349.4651 12.708773 1982-1999 –> 2000-2012 5.4728091 22314.7918
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2031 1.9148200 8414.4995 9.235730 1982-1999 –> 2000-2012 3.6311952 18657.1971
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + phosphate 2031 3.0530110 10307.4416 12.706988 1982-1999 –> 2000-2012 5.8267416 23054.5874
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate 2031 2.1910052 8961.8003 9.938424 1982-1999 –> 2000-2012 4.5832775 20938.3539
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate 2031 3.0671244 10326.1760 23.222174 1982-1999 –> 2000-2012 6.1536597 23631.3239
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 2031 2.2101756 8997.1867 17.699573 1982-1999 –> 2000-2012 4.6252898 21023.3644
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 2031 2.5774029 9621.5579 12.121441 1982-1999 –> 2000-2012 4.6642462 20884.8324
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate 2031 2.2533923 9075.8464 17.372391 1982-1999 –> 2000-2012 4.6876998 21143.3602
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate 2031 2.6271564 9699.2224 12.195559 1982-1999 –> 2000-2012 4.7641127 21086.4149
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 1142 2.5949142 5430.7717 26.110705 2000-2012 –> 2013-2019 5.2008719 15097.0846
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1142 2.3003827 5155.6000 13.777336 2000-2012 –> 2013-2019 4.2152027 13570.0995
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + nitrate + silicate 1142 3.0285423 5783.7136 24.529642 2000-2012 –> 2013-2019 6.2111556 16262.0301
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + phosphate 1142 3.5173093 6123.4339 13.741414 2000-2012 –> 2013-2019 6.5703203 16430.8755
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate 1142 2.3613801 5215.3740 15.167463 2000-2012 –> 2013-2019 4.5523853 14177.1744
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate 1142 3.4653211 6089.4229 35.059510 2000-2012 –> 2013-2019 6.5324455 16415.5989
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 1142 2.5482980 5389.3678 24.568652 2000-2012 –> 2013-2019 4.7584736 14386.5545
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 1142 3.1722374 5889.5901 15.110201 2000-2012 –> 2013-2019 5.7496403 15511.1479
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate 1142 2.6080258 5442.2833 24.208933 2000-2012 –> 2013-2019 4.8614181 14518.1297
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate 1142 3.2173880 5921.8691 15.165532 2000-2012 –> 2013-2019 5.8445444 15621.0915
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate 2025 3.4969733 10826.8872 13.832020 1982-1999 –> 2000-2012 6.8297093 25933.3333
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2025 2.5285742 9515.7061 13.358360 1982-1999 –> 2000-2012 5.1450783 23231.4624
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate 2025 3.2329612 10508.9649 22.030264 1982-1999 –> 2000-2012 6.0362478 24619.6170
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 2025 2.7655192 9878.4761 23.145713 1982-1999 –> 2000-2012 5.3049716 23422.1817
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate 2025 3.2417103 10519.9103 14.161501 1982-1999 –> 2000-2012 5.7675638 24030.7095
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2025 2.4063497 9315.0504 11.614926 1982-1999 –> 2000-2012 4.1264292 20616.3452
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 2025 3.5798778 10923.7821 14.848059 1982-1999 –> 2000-2012 6.2945010 24851.4400
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate 2025 3.3704618 10677.6526 10.689148 1982-1999 –> 2000-2012 6.0573060 24544.1053
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate 2025 2.4916281 9456.0932 10.104738 1982-1999 –> 2000-2012 4.3239984 21121.3969
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + silicate + phosphate 2025 3.6495556 11001.8530 15.721562 1982-1999 –> 2000-2012 6.4399972 25088.0695
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate 1109 3.9157942 6184.8160 14.752805 2000-2012 –> 2013-2019 7.4127675 17011.7032
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 1109 3.0025580 5597.8181 16.245244 2000-2012 –> 2013-2019 5.5311321 15113.5242
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate 1109 4.0365172 6252.1635 24.705305 2000-2012 –> 2013-2019 7.2694783 16761.1284
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 1109 3.5932118 5996.1307 25.833019 2000-2012 –> 2013-2019 6.3587310 15874.6067
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + nitrate + silicate 1109 3.6777016 6047.6804 19.783278 2000-2012 –> 2013-2019 7.1462844 16843.5532
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate 1109 3.9750215 6220.1126 28.586368 2000-2012 –> 2013-2019 7.3205020 16869.6354
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate 1109 3.8480943 6146.1338 12.680458 2000-2012 –> 2013-2019 7.0898046 16666.0441
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 1109 3.1081847 5674.5038 12.222568 2000-2012 –> 2013-2019 5.5145344 14989.5543
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate 1109 3.9761576 6218.7464 11.613376 2000-2012 –> 2013-2019 7.3466193 16896.3990
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate 1109 3.2001964 5739.2103 12.589120 2000-2012 –> 2013-2019 5.6918245 15195.3035
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate 2804 3.4990804 14991.4283 16.234289 1982-1999 –> 2000-2012 6.6725848 34222.3800
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 2804 2.8268767 13797.0865 15.595608 1982-1999 –> 2000-2012 5.6266381 32094.2808
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 2804 2.7836924 13708.7557 13.816311 1982-1999 –> 2000-2012 5.2587422 31083.3422
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2804 2.4538915 13003.5694 13.901382 1982-1999 –> 2000-2012 4.8210764 30047.3887
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate 2804 3.1917432 14477.8683 13.662239 1982-1999 –> 2000-2012 6.7199753 34502.1326
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate 2804 3.9336273 15647.9109 15.104136 1982-1999 –> 2000-2012 6.8485684 34244.1808
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 2804 3.1926743 14479.5041 16.493618 1982-1999 –> 2000-2012 5.5799379 31586.4005
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 2804 3.6637192 15251.2765 18.296963 1982-1999 –> 2000-2012 6.4861214 33608.6194
Atlantic (27.5,27.75] cstar_tref ~ temp + oxygen + nitrate + silicate 2804 3.2454298 14571.4129 16.872661 1982-1999 –> 2000-2012 5.6444387 31714.9618
Atlantic (27.5,27.75] cstar_tref ~ temp + oxygen + silicate + phosphate 2804 3.7322940 15355.2726 18.019343 1982-1999 –> 2000-2012 6.6109791 33860.0731
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate 1515 4.2018740 8659.0415 18.347170 2000-2012 –> 2013-2019 7.7009544 23650.4699
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 1515 3.2789491 7909.5783 16.534959 2000-2012 –> 2013-2019 6.1058258 21706.6649
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 1515 3.4259760 8040.4845 14.371977 2000-2012 –> 2013-2019 6.2096684 21749.2402
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 1515 2.8745087 7510.7055 15.545879 2000-2012 –> 2013-2019 5.3284002 20514.2749
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate 1515 3.7912127 8349.4221 15.181001 2000-2012 –> 2013-2019 7.4984561 23666.9278
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + phosphate 1515 3.7058316 8278.4041 14.544521 2000-2012 –> 2013-2019 7.1142988 23122.6925
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate 1515 3.2671643 7898.6687 16.135848 2000-2012 –> 2013-2019 6.4589075 22376.5370
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 1515 4.0405098 8542.3875 18.347015 2000-2012 –> 2013-2019 7.2331842 23021.8916
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 1515 4.4232591 8816.6204 20.542941 2000-2012 –> 2013-2019 8.0869784 24067.8969
Atlantic (27.5,27.75] cstar_tref ~ temp + oxygen + nitrate + silicate 1515 4.0874594 8577.3922 18.686128 2000-2012 –> 2013-2019 7.3328892 23148.8052
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 1036 1.9259602 4310.0805 13.267819 1982-1999 –> 2000-2012 3.9306085 9904.1154
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate 1036 2.2757763 4653.8902 11.420567 1982-1999 –> 2000-2012 4.2495639 10204.9673
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1036 1.7389083 4098.3902 12.226980 1982-1999 –> 2000-2012 3.5475856 9420.8408
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate 1036 2.3024277 4680.0142 11.811765 1982-1999 –> 2000-2012 4.6724504 10716.0667
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate 1036 2.3073163 4684.4089 16.091614 1982-1999 –> 2000-2012 4.3354297 10309.1664
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + phosphate 1036 2.5217640 4866.5550 15.215836 1982-1999 –> 2000-2012 4.5326162 10466.7474
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 1036 2.3208187 4696.4989 15.540108 1982-1999 –> 2000-2012 4.2927046 10247.0312
Atlantic (27.75,27.85] cstar_tref ~ temp + oxygen + nitrate + silicate 1036 2.3485017 4721.0678 16.287352 1982-1999 –> 2000-2012 4.4340791 10419.5862
Atlantic (27.75,27.85] cstar_tref ~ temp + oxygen + phosphate 1036 2.5982237 4928.4443 15.266339 1982-1999 –> 2000-2012 4.6806387 10620.9567
Atlantic (27.75,27.85] cstar_tref ~ temp + oxygen + silicate + phosphate 1036 2.3475390 4720.2182 15.610251 1982-1999 –> 2000-2012 4.3638414 10329.5564
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 513 2.0314562 2195.0114 12.644220 2000-2012 –> 2013-2019 3.9574164 6505.0919
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate 513 2.6899097 2481.0658 10.612786 2000-2012 –> 2013-2019 4.9656861 7134.9560
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 513 1.8570079 2102.8906 11.721525 2000-2012 –> 2013-2019 3.5959162 6201.2808
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + silicate 513 2.4571327 2390.1999 12.434941 2000-2012 –> 2013-2019 4.9482343 7233.4068
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate 513 2.2850958 2315.7255 11.564796 2000-2012 –> 2013-2019 4.5875235 6995.7397
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate 513 2.7254349 2496.5273 15.361666 2000-2012 –> 2013-2019 5.0327512 7180.9362
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + phosphate 513 3.0121089 2597.1400 13.901416 2000-2012 –> 2013-2019 5.5338728 7463.6950
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 513 2.7274869 2497.2995 14.905575 2000-2012 –> 2013-2019 5.0483056 7193.7984
Atlantic (27.75,27.85] cstar_tref ~ temp + oxygen + nitrate + silicate 513 2.7665133 2511.8760 15.610881 2000-2012 –> 2013-2019 5.1150151 7232.9438
Atlantic (27.75,27.85] cstar_tref ~ temp + oxygen + silicate + phosphate 513 2.7583236 2508.8342 15.146313 2000-2012 –> 2013-2019 5.1058626 7229.0524
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate 983 4.1742923 5608.9387 58.589356 1982-1999 –> 2000-2012 7.2147236 12381.6048
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 983 4.1591635 5603.8004 55.369151 1982-1999 –> 2000-2012 7.1798937 12361.0965
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate 983 3.8064747 5427.5922 38.962294 1982-1999 –> 2000-2012 6.9176919 12261.7535
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 983 3.7509202 5400.6875 45.025761 1982-1999 –> 2000-2012 6.7829316 12167.9437
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate 983 3.7051030 5374.5251 49.117027 1982-1999 –> 2000-2012 6.6349552 12048.2006
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 983 3.6929852 5370.0846 46.749916 1982-1999 –> 2000-2012 6.6056230 12030.0144
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate 983 3.9531999 5501.9500 42.754556 1982-1999 –> 2000-2012 7.1320156 12393.5450
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate 983 3.8943972 5474.4866 48.839488 1982-1999 –> 2000-2012 6.9692589 12279.2410
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + phosphate 983 3.8387704 5444.2022 52.175591 1982-1999 –> 2000-2012 6.7916245 12138.7733
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + silicate + phosphate 983 3.8308048 5442.1184 50.328170 1982-1999 –> 2000-2012 6.7760129 12131.7618
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 569 3.7369572 3126.9452 28.994127 2000-2012 –> 2013-2019 7.9458023 8754.0906
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate 569 3.7251420 3121.3415 31.103819 2000-2012 –> 2013-2019 7.8994342 8730.2802
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 569 3.5864411 3080.1606 29.438906 2000-2012 –> 2013-2019 7.7456046 8683.9610
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate 569 4.1471395 3243.4647 25.807794 2000-2012 –> 2013-2019 7.9536142 8671.0569
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 569 3.9387738 3186.8015 24.515854 2000-2012 –> 2013-2019 7.6896940 8587.4890
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate 569 3.8337887 3154.0574 23.962464 2000-2012 –> 2013-2019 7.5388917 8528.5825
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 569 3.8181580 3151.4082 23.646089 2000-2012 –> 2013-2019 7.5111432 8521.4928
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate 569 3.9881793 3200.9871 24.724740 2000-2012 –> 2013-2019 7.8825765 8675.4737
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + phosphate 569 3.8865243 3169.6044 23.837557 2000-2012 –> 2013-2019 7.7252947 8613.8066
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + silicate + phosphate 569 3.8608548 3164.0633 23.852541 2000-2012 –> 2013-2019 7.6916596 8606.1817
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate 1204 4.8507205 7229.3424 27.977034 1982-1999 –> 2000-2012 9.7730805 17338.0020
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate 1204 4.8105022 7211.2940 27.455623 1982-1999 –> 2000-2012 9.6706741 17279.3353
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + phosphate 1204 4.9493738 7277.8246 28.561747 1982-1999 –> 2000-2012 9.9660869 17450.1282
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + silicate + phosphate 1204 4.9231718 7267.0428 28.176012 1982-1999 –> 2000-2012 9.8949253 17411.1705
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate 1204 4.8427552 7227.3850 24.905219 1982-1999 –> 2000-2012 10.0755511 17543.0450
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate 1204 4.6394934 7122.1333 25.502387 1982-1999 –> 2000-2012 9.5768098 17240.9624
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 1204 4.5804981 7093.3170 24.656039 1982-1999 –> 2000-2012 9.4650221 17178.1118
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate 1204 4.8338535 7222.9547 24.663834 1982-1999 –> 2000-2012 10.0584966 17533.3882
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + phosphate 1204 4.6374938 7121.0952 25.354382 1982-1999 –> 2000-2012 9.5744080 17239.6512
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 1204 4.5725557 7089.1381 24.432332 1982-1999 –> 2000-2012 9.4509550 17169.7271
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate 666 4.5288902 3911.9814 26.527910 2000-2012 –> 2013-2019 9.3796107 11141.3238
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate 666 4.4761250 3898.3714 26.579724 2000-2012 –> 2013-2019 9.2866272 11109.6654
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + phosphate 666 4.6080103 3935.0506 27.008273 2000-2012 –> 2013-2019 9.5573841 11212.8752
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + silicate + phosphate 666 4.5667294 3925.0641 27.088888 2000-2012 –> 2013-2019 9.4899012 11192.1069
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate 666 4.7237579 3970.0955 25.719147 2000-2012 –> 2013-2019 9.5665131 11197.4806
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate 666 4.4656542 3893.2519 24.206850 2000-2012 –> 2013-2019 9.1051476 11015.3851
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 666 4.4296661 3884.4740 24.087584 2000-2012 –> 2013-2019 9.0101642 10977.7910
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate 666 4.7220866 3969.6242 25.668534 2000-2012 –> 2013-2019 9.5559400 11192.5788
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + phosphate 666 4.4690013 3894.2499 24.065812 2000-2012 –> 2013-2019 9.1064951 11015.3451
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 666 4.4291749 3884.3263 23.917524 2000-2012 –> 2013-2019 9.0017306 10973.4643
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 804 1.2414346 2641.4116 5.399803 1982-1999 –> 2000-2012 2.3193406 5868.4109
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate 804 1.2171519 2607.6471 6.670996 1982-1999 –> 2000-2012 2.2304119 5699.5508
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 804 1.1764550 2554.9623 5.591865 1982-1999 –> 2000-2012 2.1866635 5642.3753
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate 804 1.2890210 2699.8970 11.219940 1982-1999 –> 2000-2012 2.3525381 5895.9760
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate 804 1.1909798 2574.6934 10.504721 1982-1999 –> 2000-2012 2.1869286 5631.5134
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 804 1.1795166 2557.1414 11.041510 1982-1999 –> 2000-2012 2.1507145 5557.8051
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 804 1.1772969 2556.1127 10.971289 1982-1999 –> 2000-2012 2.1453194 5551.7285
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + nitrate + silicate 804 1.1969610 2582.7489 10.502979 1982-1999 –> 2000-2012 2.2010569 5657.1009
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + phosphate 804 1.1853678 2565.0986 11.052937 1982-1999 –> 2000-2012 2.1623589 5578.5605
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + silicate + phosphate 804 1.1824509 2563.1368 10.968185 1982-1999 –> 2000-2012 2.1574045 5574.1061
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 434 1.3062734 1475.5495 5.535145 2000-2012 –> 2013-2019 2.5477081 4116.9611
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate 434 1.3364382 1493.3656 7.513280 2000-2012 –> 2013-2019 2.5535901 4101.0127
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 434 1.2420686 1431.8021 5.714684 2000-2012 –> 2013-2019 2.4185236 3986.7645
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate 434 1.3747108 1517.8739 12.470900 2000-2012 –> 2013-2019 2.6637317 4217.7709
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate 434 1.2439299 1433.1019 11.740721 2000-2012 –> 2013-2019 2.4349097 4007.7954
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 434 1.2411589 1429.1662 12.303444 2000-2012 –> 2013-2019 2.4206754 3986.3076
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 434 1.2303737 1423.5906 12.182262 2000-2012 –> 2013-2019 2.4076706 3979.7033
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + nitrate + silicate 434 1.2485131 1436.2941 11.740228 2000-2012 –> 2013-2019 2.4454742 4019.0430
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + phosphate 434 1.2459665 1432.5219 12.315642 2000-2012 –> 2013-2019 2.4313344 3997.6205
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + silicate + phosphate 434 1.2341739 1426.2674 12.180217 2000-2012 –> 2013-2019 2.4166248 3989.4043
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate 936 0.9421908 2556.7802 5.552853 1982-1999 –> 2000-2012 1.7414391 5663.4542
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 936 0.9434835 2559.3466 5.003252 1982-1999 –> 2000-2012 1.7445669 5671.9610
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate 936 0.9905127 2648.4079 11.549842 1982-1999 –> 2000-2012 1.7679979 5681.5799
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate 936 0.9134107 2498.7066 10.830314 1982-1999 –> 2000-2012 1.6498424 5393.3757
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate 936 0.8806006 2428.2260 10.018839 1982-1999 –> 2000-2012 1.6051004 5278.5879
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 936 0.8783084 2425.3470 10.051818 1982-1999 –> 2000-2012 1.5766996 5182.6502
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + nitrate 936 0.9994811 2665.2812 11.632286 1982-1999 –> 2000-2012 1.7889256 5737.9896
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + nitrate + silicate 936 0.9189950 2510.1165 10.863190 1982-1999 –> 2000-2012 1.6641053 5435.1295
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + phosphate 936 0.8846006 2436.7100 10.051092 1982-1999 –> 2000-2012 1.6121536 5297.9638
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + silicate + phosphate 936 0.8830714 2435.4712 10.082608 1982-1999 –> 2000-2012 1.5884109 5218.4149
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate 497 1.1238841 1536.5148 6.732716 2000-2012 –> 2013-2019 2.1048370 4166.7677
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate 497 1.0491827 1470.1483 6.012334 2000-2012 –> 2013-2019 1.9913736 4026.9285
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate 497 1.0357660 1455.3553 5.441248 2000-2012 –> 2013-2019 1.9988864 4051.2644
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 497 1.0354773 1457.0782 5.442197 2000-2012 –> 2013-2019 1.9789607 4016.4248
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate 497 1.0972500 1514.6751 12.268602 2000-2012 –> 2013-2019 2.0106607 4013.3817
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate 497 1.0551579 1473.7932 11.501643 2000-2012 –> 2013-2019 1.9357585 3902.0192
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 497 1.0549100 1475.5596 11.494491 2000-2012 –> 2013-2019 1.9332185 3900.9066
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + nitrate + silicate 497 1.1033853 1520.2176 12.309316 2000-2012 –> 2013-2019 2.0223803 4030.3341
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + phosphate 497 1.0606641 1478.9667 11.544277 2000-2012 –> 2013-2019 1.9452647 3915.6768
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + silicate + phosphate 497 1.0602381 1480.5675 11.532519 2000-2012 –> 2013-2019 1.9433095 3916.0387
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate 1540 0.6914027 3243.7097 2.807153 1982-1999 –> 2000-2012 1.4413833 8285.4233
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 1540 0.6375425 2993.9170 2.390329 1982-1999 –> 2000-2012 1.2512707 7143.8280
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 1540 0.6375040 2995.7309 2.402197 1982-1999 –> 2000-2012 1.2354501 7031.7649
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + nitrate 1540 0.6939029 3254.8271 2.510912 1982-1999 –> 2000-2012 1.4529919 8350.2359
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + nitrate + silicate 1540 0.6938712 3256.6862 2.523944 1982-1999 –> 2000-2012 1.4249928 8187.1205
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 1540 0.6454242 3031.7606 2.459814 1982-1999 –> 2000-2012 1.2492222 7109.1137
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 1540 0.5718023 2660.7281 2.192349 1982-1999 –> 2000-2012 1.1224532 6330.2485
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 1540 0.7569911 3524.8470 2.346351 1982-1999 –> 2000-2012 1.5460833 8794.6784
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate 1540 0.6539635 3072.2429 2.506572 1982-1999 –> 2000-2012 1.2717050 7251.1464
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate 1540 0.5772872 2690.1312 2.226077 1982-1999 –> 2000-2012 1.1364464 6427.8538
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 819 0.9046416 2170.0669 7.922510 2000-2012 –> 2013-2019 1.5421842 5163.9839
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 819 0.8257916 2022.6871 4.712442 2000-2012 –> 2013-2019 1.4632956 5018.4180
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + nitrate 819 1.0269474 2377.7769 10.877467 2000-2012 –> 2013-2019 1.7208503 5632.6040
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + nitrate + silicate 819 0.9045133 2171.8345 5.875227 2000-2012 –> 2013-2019 1.5983844 5428.5206
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 819 0.9508376 2251.6465 8.820383 2000-2012 –> 2013-2019 1.5962619 5283.4071
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 819 0.8619250 2092.8357 8.363302 2000-2012 –> 2013-2019 1.4337273 4753.5638
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 819 0.9555104 2261.6765 7.212608 2000-2012 –> 2013-2019 1.7125015 5786.5235
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate 819 0.9641793 2274.4703 9.030606 2000-2012 –> 2013-2019 1.6181427 5346.7132
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate 819 0.8696972 2107.5398 8.465903 2000-2012 –> 2013-2019 1.4469843 4797.6710
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + silicate + phosphate 819 0.9599097 2269.2008 7.293954 2000-2012 –> 2013-2019 1.7190349 5802.7189
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate 2693 0.7181479 5869.2077 10.119289 1982-1999 –> 2000-2012 1.3967406 13532.8066
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 2693 0.3593168 2139.5581 1.966552 1982-1999 –> 2000-2012 0.6655852 3898.5165
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 2693 0.3588037 2133.8610 1.963165 1982-1999 –> 2000-2012 0.6635911 3858.8422
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 2693 0.7445250 6065.4852 2.717163 1982-1999 –> 2000-2012 1.3820257 13267.4629
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate 2693 0.4955127 3870.5572 8.085578 1982-1999 –> 2000-2012 1.0325571 9797.8500
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate 2693 0.4778466 3677.0273 6.696866 1982-1999 –> 2000-2012 0.9678429 8925.8507
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate 2693 0.7721739 6261.8769 7.611345 1982-1999 –> 2000-2012 1.4614046 14042.9241
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 2693 0.6096423 4988.9638 4.145789 1982-1999 –> 2000-2012 1.1000011 10243.2760
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate 2693 0.8645161 6870.2803 5.772725 1982-1999 –> 2000-2012 1.6184687 15317.4782
Atlantic (28.2, Inf] cstar_tref ~ temp + oxygen + nitrate + silicate 2693 0.6190159 5071.1463 4.259725 1982-1999 –> 2000-2012 1.1183234 10459.6829
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate 1557 1.0053417 4445.1645 20.197882 2000-2012 –> 2013-2019 1.7234897 10314.3722
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 1557 0.4186021 1716.7958 2.479100 2000-2012 –> 2013-2019 0.7779188 3856.3538
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 1557 0.4110188 1661.8663 2.465092 2000-2012 –> 2013-2019 0.7698225 3795.7273
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1557 0.8505933 3926.6635 2.632616 2000-2012 –> 2013-2019 1.5951183 9992.1487
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate 1557 0.5156492 2366.0835 7.293748 2000-2012 –> 2013-2019 1.0111620 6236.6407
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate 1557 0.4718588 2091.7254 3.398074 2000-2012 –> 2013-2019 0.9497054 5768.7527
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate 1557 0.8389904 3883.8932 2.971888 2000-2012 –> 2013-2019 1.6111643 10145.7701
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 1557 0.8076518 3765.3486 6.453251 2000-2012 –> 2013-2019 1.4172941 8754.3124
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate 1557 1.0748512 4655.3501 9.198412 2000-2012 –> 2013-2019 1.9393673 11525.6305
Atlantic (28.2, Inf] cstar_tref ~ temp + oxygen + nitrate + silicate 1557 0.8180488 3805.1796 6.506855 2000-2012 –> 2013-2019 1.4370647 8876.3259
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate 5288 9.1850869 38469.8324 58.343026 1982-1999 –> 2000-2012 18.6692193 91255.7174
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate 5288 8.3095891 37412.4238 46.099948 1982-1999 –> 2000-2012 16.7852798 88583.0637
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + phosphate 5288 7.9014151 36877.7287 34.907971 1982-1999 –> 2000-2012 16.1841110 87715.0067
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate 5288 9.0643999 38329.9486 29.882706 1982-1999 –> 2000-2012 18.1643371 90520.9348
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 5288 7.4813073 36301.9161 28.357780 1982-1999 –> 2000-2012 15.2943635 86301.4501
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + nitrate 5288 9.1038724 38375.9036 60.728974 1982-1999 –> 2000-2012 18.5124620 91046.7428
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + nitrate + silicate 5288 8.2211176 37299.2183 47.718246 1982-1999 –> 2000-2012 16.6101685 88322.0454
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + phosphate 5288 7.7813287 36715.7598 32.534467 1982-1999 –> 2000-2012 15.9375394 87331.6542
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + silicate 5288 9.0407863 38302.3612 29.756910 1982-1999 –> 2000-2012 18.1083034 90442.0033
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + silicate + phosphate 5288 7.3907730 36173.1511 28.492599 1982-1999 –> 2000-2012 15.1050761 85989.6943
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate 2816 8.1253364 19802.4294 38.317493 2000-2012 –> 2013-2019 16.4349255 57214.8532
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + phosphate 2816 7.7631923 19543.6467 26.577087 2000-2012 –> 2013-2019 15.6646074 56421.3754
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate 2816 8.7616847 20225.0882 29.100541 2000-2012 –> 2013-2019 17.8260846 58555.0368
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 2816 7.2293095 19144.3661 24.250881 2000-2012 –> 2013-2019 14.7106167 55446.2822
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate 2816 8.8082811 20254.9609 32.866600 2000-2012 –> 2013-2019 18.0961496 58842.4822
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + nitrate + silicate 2816 8.0556663 19753.9300 39.640807 2000-2012 –> 2013-2019 16.2767840 57053.1483
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + phosphate 2816 7.6384054 19452.3815 26.635654 2000-2012 –> 2013-2019 15.4197341 56168.1413
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + silicate 2816 8.7468749 20215.5604 28.938327 2000-2012 –> 2013-2019 17.7876612 58517.9216
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + silicate + phosphate 2816 7.1344030 19069.9395 24.441528 2000-2012 –> 2013-2019 14.5251760 55243.0906
Indo-Pacific (-Inf,26] cstar_tref ~ temp + silicate + phosphate 2816 8.8104104 20256.3223 32.575312 2000-2012 –> 2013-2019 18.1014458 58847.4490
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate 5525 6.6073445 36553.6801 52.604626 1982-1999 –> 2000-2012 12.9409584 86920.1020
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate 5525 6.1641700 35788.4969 53.531701 1982-1999 –> 2000-2012 12.0942150 85141.4154
Indo-Pacific (26,26.5] cstar_tref ~ sal + oxygen + silicate + phosphate 5525 6.8550700 36962.3940 55.694955 1982-1999 –> 2000-2012 13.4831055 88031.6434
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 5525 7.1746384 37465.8744 26.438397 1982-1999 –> 2000-2012 13.9361267 88842.5948
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate 5525 5.4925582 34511.7758 42.074977 1982-1999 –> 2000-2012 10.7300960 81947.3373
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate 5525 7.1753412 37464.9567 27.465277 1982-1999 –> 2000-2012 13.9375105 88841.2305
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 5525 4.8893893 33228.3657 40.409229 1982-1999 –> 2000-2012 9.5091497 78730.0815
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate 5525 7.1821966 37477.5090 26.499799 1982-1999 –> 2000-2012 13.9537816 88877.2444
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + phosphate 5525 5.4949921 34516.6714 53.690387 1982-1999 –> 2000-2012 10.7077534 81879.0953
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 5525 4.9304894 33320.8635 50.805047 1982-1999 –> 2000-2012 9.5666218 78877.1440
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate 2918 7.1583928 19777.8394 27.470951 2000-2012 –> 2013-2019 14.3700643 57298.6035
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate 2918 6.6591304 19355.9165 25.443175 2000-2012 –> 2013-2019 13.2664750 55909.5967
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate 2918 6.1505848 18894.2946 22.720537 2000-2012 –> 2013-2019 12.3147548 54682.7915
Indo-Pacific (26,26.5] cstar_tref ~ sal + oxygen + silicate + phosphate 2918 6.8135629 19491.7142 28.037784 2000-2012 –> 2013-2019 13.6686329 56454.1082
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 2918 7.2160902 19826.6896 29.485910 2000-2012 –> 2013-2019 14.3907286 57292.5641
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate 2918 5.4808261 18219.4544 37.883881 2000-2012 –> 2013-2019 10.9733843 52731.2302
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate 2918 7.2188205 19826.8973 29.515516 2000-2012 –> 2013-2019 14.3941617 57291.8540
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 2918 4.8142859 17464.7112 37.043514 2000-2012 –> 2013-2019 9.7036752 50693.0769
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + phosphate 2918 5.4774950 18215.9063 35.116956 2000-2012 –> 2013-2019 10.9724872 52732.5777
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 2918 4.8517131 17509.9060 34.225344 2000-2012 –> 2013-2019 9.7822025 50830.7695
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate 4544 5.1905169 27871.7342 30.807530 1982-1999 –> 2000-2012 10.3301312 66312.9413
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate 4544 4.6540221 26880.2201 34.501523 1982-1999 –> 2000-2012 9.1712885 63698.2299
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 4544 4.4841809 26544.3649 33.640202 1982-1999 –> 2000-2012 8.9152165 63121.9887
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + phosphate 4544 4.9905917 27514.7686 37.527637 1982-1999 –> 2000-2012 9.9286482 65452.8573
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate 4544 4.8483118 27253.9079 36.054084 1982-1999 –> 2000-2012 9.7191740 65021.6945
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate 4544 4.4055596 26381.6114 29.391989 1982-1999 –> 2000-2012 8.6008539 62269.7071
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4544 4.1322494 25801.5670 26.615035 1982-1999 –> 2000-2012 8.1538965 61160.0507
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + phosphate 4544 4.4727413 26519.1509 35.203832 1982-1999 –> 2000-2012 8.7384525 62616.5797
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 4544 4.2095240 25969.9463 32.334600 1982-1999 –> 2000-2012 8.3064308 61561.5980
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate 4544 5.4005627 28232.2541 31.418498 1982-1999 –> 2000-2012 10.9190930 67568.0362
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate 2447 5.7193588 15488.7199 34.322278 2000-2012 –> 2013-2019 10.9098756 43360.4541
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate 2447 5.0674288 14896.4326 18.828251 2000-2012 –> 2013-2019 9.7214509 41776.6527
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 2447 4.8633534 14697.2630 18.983377 2000-2012 –> 2013-2019 9.3475343 41241.6279
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + phosphate 2447 5.4089297 15215.6079 22.418410 2000-2012 –> 2013-2019 10.3995214 42730.3765
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate 2447 5.2284404 15051.5144 20.836630 2000-2012 –> 2013-2019 10.0767522 42305.4223
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate 2447 4.7974799 14628.5214 20.503345 2000-2012 –> 2013-2019 9.2030396 41010.1328
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 2447 4.4871872 14303.2855 23.916608 2000-2012 –> 2013-2019 8.6194367 40104.8525
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + phosphate 2447 4.8558146 14687.6708 19.899362 2000-2012 –> 2013-2019 9.3285558 41206.8216
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 2447 4.5556780 14377.4214 23.174250 2000-2012 –> 2013-2019 8.7652020 40347.3676
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate 2447 5.7095343 15480.3059 30.573952 2000-2012 –> 2013-2019 11.1100970 43712.5600
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate 5354 5.1989790 32855.7278 28.057737 1982-1999 –> 2000-2012 9.9412334 77681.9733
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 5354 5.1172233 32688.0029 26.871108 1982-1999 –> 2000-2012 9.7777587 77254.4361
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + phosphate 5354 5.5377624 33531.7051 28.060596 1982-1999 –> 2000-2012 10.7270124 79714.6834
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + silicate + phosphate 5354 5.4459248 33354.6360 27.178375 1982-1999 –> 2000-2012 10.5375598 79253.5841
Indo-Pacific (26.75,27] cstar_tref ~ sal + silicate + phosphate 5354 5.8582486 34134.1389 41.770496 1982-1999 –> 2000-2012 11.5463487 81699.6148
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate 5354 4.7325547 31849.2068 22.112703 1982-1999 –> 2000-2012 8.9380478 74866.1886
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 5354 4.7085076 31796.6584 21.818996 1982-1999 –> 2000-2012 8.8953150 74748.5682
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + phosphate 5354 4.8452343 32101.1707 23.622430 1982-1999 –> 2000-2012 9.1905960 75610.9426
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 5354 4.8218019 32051.2593 23.312826 1982-1999 –> 2000-2012 9.1486740 75498.8053
Indo-Pacific (26.75,27] cstar_tref ~ temp + silicate + phosphate 5354 5.6909915 33823.9690 39.340671 1982-1999 –> 2000-2012 11.2350195 81003.0293
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate 2868 5.6359089 18067.4842 19.999053 2000-2012 –> 2013-2019 10.8348879 50923.2119
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2868 5.5589685 17990.6379 18.645249 2000-2012 –> 2013-2019 10.6761918 50678.6408
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + phosphate 2868 5.9264364 18355.8022 21.572199 2000-2012 –> 2013-2019 11.4641988 51887.5074
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + silicate + phosphate 2868 5.8400264 18273.5532 23.549730 2000-2012 –> 2013-2019 11.2859513 51628.1892
Indo-Pacific (26.75,27] cstar_tref ~ sal + silicate + phosphate 2868 6.0910397 18512.9440 35.632378 2000-2012 –> 2013-2019 11.9492883 52647.0829
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate 2868 5.1322867 17530.5538 18.555267 2000-2012 –> 2013-2019 9.8648414 49379.7605
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2868 5.1132156 17511.1996 17.396394 2000-2012 –> 2013-2019 9.8217232 49307.8580
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + phosphate 2868 5.2448998 17655.0527 17.217990 2000-2012 –> 2013-2019 10.0901341 49756.2234
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 2868 5.2254515 17635.7438 17.046500 2000-2012 –> 2013-2019 10.0472534 49687.0031
Indo-Pacific (26.75,27] cstar_tref ~ temp + silicate + phosphate 2868 5.8968047 18327.0508 33.454606 2000-2012 –> 2013-2019 11.5877963 52151.0198
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate 6466 5.2599192 39828.3290 24.636131 1982-1999 –> 2000-2012 9.7748700 91558.3353
Indo-Pacific (27,27.25] cstar_tref ~ oxygen + silicate + phosphate 6466 5.5278370 40470.8027 24.900732 1982-1999 –> 2000-2012 10.4286204 93650.0908
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate 6466 5.4763219 40349.7215 40.244411 1982-1999 –> 2000-2012 10.1587625 92723.5068
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 6466 4.7465593 38502.2685 25.938937 1982-1999 –> 2000-2012 8.7928102 88297.1419
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate 6466 4.9889580 39146.3737 17.828741 1982-1999 –> 2000-2012 9.3717843 90353.4533
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate 6466 4.9930866 39155.0711 53.367774 1982-1999 –> 2000-2012 9.0706760 89084.3033
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 6466 4.5799992 38040.3224 37.420573 1982-1999 –> 2000-2012 8.3645596 86653.4940
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + phosphate 6466 5.1276743 39499.0354 52.755848 1982-1999 –> 2000-2012 9.3481294 90036.9072
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate 6466 4.6882058 38342.2992 36.052942 1982-1999 –> 2000-2012 8.5937887 87511.8009
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate 6466 5.6938134 40853.3780 21.679438 1982-1999 –> 2000-2012 10.9940070 95417.3936
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate 3470 5.6747821 21905.4966 26.762806 2000-2012 –> 2013-2019 10.9347013 61733.8256
Indo-Pacific (27,27.25] cstar_tref ~ oxygen + silicate + phosphate 3470 5.8570504 22124.8975 26.672185 2000-2012 –> 2013-2019 11.3848874 62595.7003
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 3470 5.3345972 21478.4743 22.271388 2000-2012 –> 2013-2019 10.0811565 59980.7427
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate 3470 5.4833669 21669.3654 20.944689 2000-2012 –> 2013-2019 10.4723249 60815.7390
Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate 3470 5.8776134 22149.2200 20.782682 2000-2012 –> 2013-2019 11.5641593 62986.0812
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate 3470 5.9752506 22263.5582 45.600986 2000-2012 –> 2013-2019 10.9683373 61418.6292
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 3470 5.2457410 21361.9039 28.969816 2000-2012 –> 2013-2019 9.8257402 59402.2264
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + phosphate 3470 6.0784389 22382.3838 44.587349 2000-2012 –> 2013-2019 11.2061132 61881.4192
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate 3470 5.3226341 21462.8935 27.632792 2000-2012 –> 2013-2019 10.0108400 59805.1927
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate 3470 5.8861335 22159.2728 21.234716 2000-2012 –> 2013-2019 11.5799469 63012.6508
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate 5847 3.9594704 32695.3009 33.448037 1982-1999 –> 2000-2012 7.2237819 73775.0697
Indo-Pacific (27.25,27.5] cstar_tref ~ oxygen + silicate + phosphate 5847 3.9752652 32741.8567 34.799073 1982-1999 –> 2000-2012 7.3114607 74165.4363
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + phosphate 5847 4.3688593 33845.8930 36.075195 1982-1999 –> 2000-2012 8.0702927 76909.2577
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 5847 3.8461151 32357.6286 30.339456 1982-1999 –> 2000-2012 7.0211675 73001.7908
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + phosphate 5847 4.4072225 33948.1303 29.348598 1982-1999 –> 2000-2012 8.1455253 77167.9391
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate 5847 3.7568967 32083.1670 30.801943 1982-1999 –> 2000-2012 6.8441839 72284.8816
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + phosphate 5847 4.6626154 34606.8751 39.753985 1982-1999 –> 2000-2012 8.5774837 78555.1151
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 5847 3.9564842 32688.4779 34.034247 1982-1999 –> 2000-2012 7.2205262 73768.9438
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + silicate + phosphate 5847 3.9732569 32737.9473 34.309542 1982-1999 –> 2000-2012 7.2597842 73926.7734
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + silicate + phosphate 5847 4.0732593 33026.6295 37.623156 1982-1999 –> 2000-2012 7.8110926 76244.4556
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate 3127 4.6475693 18492.3392 32.264940 2000-2012 –> 2013-2019 8.6070397 51187.6401
Indo-Pacific (27.25,27.5] cstar_tref ~ oxygen + silicate + phosphate 3127 4.6569059 18504.8903 33.434540 2000-2012 –> 2013-2019 8.6321710 51246.7469
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + phosphate 3127 5.0360192 18994.3576 40.438199 2000-2012 –> 2013-2019 9.4048785 52840.2506
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3127 4.5032127 18297.0049 28.659822 2000-2012 –> 2013-2019 8.3493278 50654.6335
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + phosphate 3127 5.0503002 19012.0674 34.176662 2000-2012 –> 2013-2019 9.4575226 52960.1977
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate 3127 4.4121255 18169.2074 29.187384 2000-2012 –> 2013-2019 8.1690222 50252.3744
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate 3127 4.9748390 18917.9155 34.531731 2000-2012 –> 2013-2019 9.4298881 52992.2638
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 3127 4.6438859 18489.3806 33.023859 2000-2012 –> 2013-2019 8.6003700 51177.8584
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + silicate + phosphate 3127 4.6568828 18506.8594 33.373407 2000-2012 –> 2013-2019 8.6301397 51244.8067
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + silicate + phosphate 3127 4.7008966 18563.6904 35.921295 2000-2012 –> 2013-2019 8.7741559 51590.3199
Indo-Pacific (27.5,27.75] cstar_tref ~ oxygen + silicate + phosphate 5836 3.7211551 31909.2569 13.625939 1982-1999 –> 2000-2012 6.3441670 70551.9301
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate 5836 3.6716702 31752.9982 30.308094 1982-1999 –> 2000-2012 6.3259766 70587.9245
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 5836 3.5684756 31422.2510 27.037264 1982-1999 –> 2000-2012 6.0538534 69193.2287
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + phosphate 5836 3.5742757 31439.2071 27.996706 1982-1999 –> 2000-2012 6.2058030 70134.4198
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate 5836 3.4363673 30981.9413 25.357370 1982-1999 –> 2000-2012 5.8135896 68031.7039
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 5836 3.5993455 31522.7882 14.872590 1982-1999 –> 2000-2012 6.3503489 70939.7463
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 5836 3.6671700 31740.6838 10.814317 1982-1999 –> 2000-2012 6.2798863 70321.6060
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + nitrate + silicate 5836 3.5890507 31489.3562 15.163657 1982-1999 –> 2000-2012 6.3332732 70866.3091
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + silicate + phosphate 5836 3.6610585 31721.2155 12.037050 1982-1999 –> 2000-2012 6.2806202 70344.5527
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + silicate + phosphate 5836 3.6804706 31780.9408 10.141952 1982-1999 –> 2000-2012 6.3243434 70552.0228
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate 3104 4.4430954 18077.0792 30.130141 2000-2012 –> 2013-2019 8.1147655 49830.0774
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 3104 4.3322538 17922.2442 26.788532 2000-2012 –> 2013-2019 7.9007293 49344.4952
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + phosphate 3104 4.3404132 17931.9253 30.547742 2000-2012 –> 2013-2019 7.9146889 49371.1324
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate 3104 4.2088784 17742.8844 27.865993 2000-2012 –> 2013-2019 7.6452457 48724.8257
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 3104 4.1900456 17715.0442 13.143546 2000-2012 –> 2013-2019 7.7893911 49237.8323
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate 3104 4.3757828 17982.3088 18.779422 2000-2012 –> 2013-2019 8.0841874 49851.5030
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 3104 4.3592145 17960.7585 14.275727 2000-2012 –> 2013-2019 8.0263846 49701.4422
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + nitrate + silicate 3104 4.1769632 17695.6309 12.989269 2000-2012 –> 2013-2019 7.7660139 49184.9870
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + silicate 3104 4.3567405 17955.2341 18.955536 2000-2012 –> 2013-2019 8.0501950 49777.2788
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + silicate + phosphate 3104 4.3455882 17941.3227 14.630242 2000-2012 –> 2013-2019 8.0066467 49662.5382
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 2317 2.7898430 11341.7771 23.769558 1982-1999 –> 2000-2012 4.8308257 24706.6776
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + phosphate 2317 2.8032231 11361.9487 22.099847 1982-1999 –> 2000-2012 4.8245024 24664.1032
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 2317 2.7527573 11279.7638 20.320816 1982-1999 –> 2000-2012 4.7505088 24510.6006
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate 2317 2.7349853 11249.7494 20.325082 1982-1999 –> 2000-2012 4.7915290 24662.2121
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate 2317 2.7669841 11303.6516 24.094277 1982-1999 –> 2000-2012 4.7864200 24602.0924
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate 2317 2.7795293 11322.6141 22.483935 1982-1999 –> 2000-2012 4.7425976 24441.7808
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2317 2.7417874 11261.2601 20.642191 1982-1999 –> 2000-2012 4.6870749 24325.4494
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + nitrate + silicate 2317 2.7656165 11301.3606 23.937333 1982-1999 –> 2000-2012 4.7867748 24605.1400
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + phosphate 2317 2.7770643 11318.5027 22.348926 1982-1999 –> 2000-2012 4.7459420 24456.1732
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + silicate + phosphate 2317 2.7373185 11253.7009 20.385504 1982-1999 –> 2000-2012 4.6897567 24340.8662
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 1264 3.1916378 6532.9071 35.509951 2000-2012 –> 2013-2019 5.9814808 17874.6842
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1264 3.1874884 6529.6183 29.149027 2000-2012 –> 2013-2019 5.9402457 17809.3821
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + silicate 1264 3.1917861 6533.0246 34.308977 2000-2012 –> 2013-2019 5.9693110 17854.2957
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + phosphate 1264 3.1816497 6522.9834 29.771323 2000-2012 –> 2013-2019 5.9641811 17850.5997
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + silicate 1264 3.2012259 6538.4901 32.338892 2000-2012 –> 2013-2019 5.9796895 17859.3272
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate 1264 3.1768073 6521.1329 29.025171 2000-2012 –> 2013-2019 5.9117926 17770.8822
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate 1264 3.2286375 6562.0449 34.870208 2000-2012 –> 2013-2019 5.9956216 17865.6964
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 1264 3.2446228 6574.5303 27.625900 2000-2012 –> 2013-2019 5.9864102 17835.7904
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + nitrate + silicate 1264 3.2300722 6563.1680 34.577770 2000-2012 –> 2013-2019 5.9956887 17864.5286
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + silicate + phosphate 1264 3.2403449 6571.1951 27.030880 2000-2012 –> 2013-2019 5.9776634 17824.8960
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate 2907 2.7508958 14143.0500 28.639627 1982-1999 –> 2000-2012 4.9304458 31781.4667
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 2907 2.7484328 14139.8421 28.396374 1982-1999 –> 2000-2012 4.9240749 31765.8662
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate 2907 2.7972243 14240.1495 33.230334 1982-1999 –> 2000-2012 4.9567336 31804.4823
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate 2907 2.8118793 14270.5303 35.038634 1982-1999 –> 2000-2012 4.9876103 31894.8822
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 2907 2.7953002 14238.1489 33.042313 1982-1999 –> 2000-2012 4.9421851 31757.4596
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate 2907 2.7631715 14168.9369 31.540767 1982-1999 –> 2000-2012 4.9534645 31846.7871
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate 2907 2.7499312 14141.0108 28.547833 1982-1999 –> 2000-2012 4.9295241 31779.5857
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate 2907 2.7476621 14138.2115 28.325089 1982-1999 –> 2000-2012 4.9235034 31764.9698
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + phosphate 2907 2.7969089 14239.4940 33.225970 1982-1999 –> 2000-2012 4.9565475 31804.3068
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + silicate + phosphate 2907 2.7948101 14237.1294 33.015412 1982-1999 –> 2000-2012 4.9429857 31761.2604
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + nitrate 1542 3.3398823 8105.1117 30.091412 2000-2012 –> 2013-2019 6.1240450 22318.0493
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + nitrate + silicate 1542 3.3366152 8104.0934 29.544640 2000-2012 –> 2013-2019 6.1199466 22317.2947
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate 1542 3.3281826 8094.2894 31.958774 2000-2012 –> 2013-2019 6.0790784 22237.3394
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 1542 3.3046795 8074.4335 31.424170 2000-2012 –> 2013-2019 6.0531124 22214.2756
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 1542 3.3232945 8091.7567 34.974762 2000-2012 –> 2013-2019 6.1185947 22329.9055
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate 1542 3.3200594 8086.7530 34.851867 2000-2012 –> 2013-2019 6.0832309 22255.6898
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate 1542 3.3252514 8091.5720 31.716600 2000-2012 –> 2013-2019 6.0751825 22232.5829
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate 1542 3.3028816 8072.7552 31.234941 2000-2012 –> 2013-2019 6.0505437 22210.9666
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + phosphate 1542 3.3284055 8094.4960 34.396296 2000-2012 –> 2013-2019 6.1253145 22333.9900
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + silicate + phosphate 1542 3.3201728 8088.8583 34.874578 2000-2012 –> 2013-2019 6.1149828 22325.9877
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate 2467 2.3057529 11132.9421 7.896506 1982-1999 –> 2000-2012 4.3219016 26166.1668
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate 2467 2.2681551 11053.8247 8.177228 1982-1999 –> 2000-2012 4.2263615 25882.4203
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate 2467 2.3081968 11138.1690 7.983939 1982-1999 –> 2000-2012 4.3221006 26163.4991
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate 2467 2.2885543 11096.0016 7.992878 1982-1999 –> 2000-2012 4.2990073 26109.1794
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 2467 2.2777752 11074.7074 8.288880 1982-1999 –> 2000-2012 4.2106641 25811.0912
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate 2467 2.2955462 11111.0527 8.299884 1982-1999 –> 2000-2012 4.3224947 26182.1331
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate 2467 2.2694946 11056.7378 8.186678 1982-1999 –> 2000-2012 4.2287407 25889.0947
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + silicate 2467 2.2889445 11096.8427 8.001514 1982-1999 –> 2000-2012 4.2995412 26110.5272
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 2467 2.2789172 11077.1806 8.289996 1982-1999 –> 2000-2012 4.2138321 25820.9878
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + silicate + phosphate 2467 2.2960807 11112.2014 8.241017 1982-1999 –> 2000-2012 4.3174106 26163.6125
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate 1354 2.5596687 6399.6748 8.001670 2000-2012 –> 2013-2019 4.8278238 17453.4995
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate 1354 2.5663558 6404.7401 7.725008 2000-2012 –> 2013-2019 4.8745525 17542.9090
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate 1354 2.5604572 6398.5088 7.842742 2000-2012 –> 2013-2019 4.8490115 17494.5104
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 1354 2.5573875 6397.2602 7.772823 2000-2012 –> 2013-2019 4.8351626 17471.9676
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate 1354 2.5608144 6398.8866 7.845810 2000-2012 –> 2013-2019 4.8563606 17509.9392
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate 1354 2.5600102 6400.0360 7.946110 2000-2012 –> 2013-2019 4.8295048 17456.7738
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + phosphate 1354 2.5660641 6404.4323 7.729299 2000-2012 –> 2013-2019 4.8752317 17544.6759
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + silicate 1354 2.5605769 6398.6353 7.837041 2000-2012 –> 2013-2019 4.8495214 17495.4780
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 1354 2.5570958 6396.9513 7.768822 2000-2012 –> 2013-2019 4.8360130 17474.1319
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + silicate + phosphate 1354 2.5582083 6396.1292 7.794426 2000-2012 –> 2013-2019 4.8542890 17508.3306
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 1718 1.9510314 7183.9514 9.140991 1982-1999 –> 2000-2012 3.6246955 17074.5875
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate 1718 1.9707649 7216.5299 9.304183 1982-1999 –> 2000-2012 3.7171308 17322.3670
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1718 1.9503440 7182.7407 8.816710 1982-1999 –> 2000-2012 3.5709134 16908.7065
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate 1718 1.9572567 7192.8975 9.220464 1982-1999 –> 2000-2012 3.7056622 17304.6968
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + nitrate + silicate 1718 1.9571007 7194.6237 9.211560 1982-1999 –> 2000-2012 3.6409509 17116.2532
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate 1718 1.9656977 7207.6839 9.297548 1982-1999 –> 2000-2012 3.7118578 17312.9191
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate 1718 1.9539957 7189.1680 8.935869 1982-1999 –> 2000-2012 3.5950802 16979.3910
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate 1718 1.9539959 7187.1682 8.935114 1982-1999 –> 2000-2012 3.6746235 17217.1623
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 1718 1.8950101 7083.8471 9.849801 1982-1999 –> 2000-2012 3.6031612 17078.6673
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + silicate + phosphate 1718 1.8961482 7085.9101 9.843194 1982-1999 –> 2000-2012 3.6061027 17086.1201
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 966 2.1267173 4211.2371 9.591808 2000-2012 –> 2013-2019 4.0777487 11395.1885
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 966 2.1234984 4208.3107 9.501567 2000-2012 –> 2013-2019 4.0738425 11391.0514
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + nitrate + silicate 966 2.1065975 4192.8723 9.513295 2000-2012 –> 2013-2019 4.0636982 11387.4960
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate 966 2.1084214 4192.5444 9.485629 2000-2012 –> 2013-2019 4.0741191 11400.2283
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate 966 2.1032628 4189.8117 9.400527 2000-2012 –> 2013-2019 4.0572586 11378.9797
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate 966 2.1224684 4207.3733 9.923812 2000-2012 –> 2013-2019 4.0852194 11411.9027
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 966 2.1188554 4204.0818 10.037184 2000-2012 –> 2013-2019 4.0138656 11287.9289
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + nitrate + silicate 966 2.1219994 4206.9464 9.916505 2000-2012 –> 2013-2019 4.0849967 11411.9069
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + silicate + phosphate 966 2.1186866 4203.9279 10.028459 2000-2012 –> 2013-2019 4.0148349 11289.8379
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate 966 2.1199344 4203.0654 10.143714 2000-2012 –> 2013-2019 4.0665458 11377.2238
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate 14627 2.0907059 63094.5038 13.007706 1982-1999 –> 2000-2012 3.9417296 145854.8336
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate 14627 1.9468025 61010.3000 11.727832 1982-1999 –> 2000-2012 3.9035526 146031.6900
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 14627 1.4320006 52025.9353 13.806990 1982-1999 –> 2000-2012 2.7088012 119684.1812
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate 14627 1.9611952 61225.7792 12.299637 1982-1999 –> 2000-2012 3.9413185 146730.0894
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate 14627 1.6072254 55402.9247 9.839246 1982-1999 –> 2000-2012 3.1030388 129499.7490
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + phosphate 14627 1.9468524 61009.0494 13.333139 1982-1999 –> 2000-2012 3.9452602 146885.1858
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + phosphate 14627 1.8202738 59042.3921 13.294233 1982-1999 –> 2000-2012 3.6070943 140367.0264
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate 14627 1.6564391 56285.2493 18.364072 1982-1999 –> 2000-2012 3.0775620 128298.8415
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + phosphate 14627 1.8152228 58961.1029 13.615408 1982-1999 –> 2000-2012 3.5876943 139957.8212
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + silicate + phosphate 14627 1.6697977 56520.2259 18.221976 1982-1999 –> 2000-2012 3.1051732 128939.6726
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate 7804 1.9655729 32706.4254 13.111306 2000-2012 –> 2013-2019 3.9123754 93716.7254
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 7804 1.5693631 29192.8476 10.689506 2000-2012 –> 2013-2019 3.0013637 81218.7829
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate 7804 1.9684294 32727.0912 13.446401 2000-2012 –> 2013-2019 3.9345093 94023.6421
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate 7804 1.9682853 32727.9489 13.492636 2000-2012 –> 2013-2019 3.9294805 93953.7281
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate 7804 1.7050926 30487.5244 9.446823 2000-2012 –> 2013-2019 3.3123180 85890.4491
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + phosphate 7804 1.9310356 32427.7376 14.013229 2000-2012 –> 2013-2019 3.8778880 93436.7870
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + phosphate 7804 1.9440967 32532.9508 13.246146 2000-2012 –> 2013-2019 3.7643705 91575.3429
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate 7804 1.8922532 32113.0803 16.180287 2000-2012 –> 2013-2019 3.5486923 88398.3296
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + phosphate 7804 1.9459717 32547.9968 13.456369 2000-2012 –> 2013-2019 3.7611945 91509.0998
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + silicate + phosphate 7804 1.9035267 32205.7923 16.022427 2000-2012 –> 2013-2019 3.5733244 88726.0182

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 3.909173 1550.9463
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 3.779844 967.1962
Atlantic (26,26.5] 1982-1999 –> 2000-2012 9.121031 15103.1702
Atlantic (26,26.5] 2000-2012 –> 2013-2019 9.052672 9472.4496
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 8.119620 18473.2007
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 8.300952 11686.4788
Atlantic (26.75,27] 1982-1999 –> 2000-2012 6.584154 28250.9445
Atlantic (26.75,27] 2000-2012 –> 2013-2019 7.096426 19354.8665
Atlantic (27,27.25] 1982-1999 –> 2000-2012 5.010697 21571.6893
Atlantic (27,27.25] 2000-2012 –> 2013-2019 5.449646 15198.9787
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 5.632580 23745.8661
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 6.668168 16222.1452
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 6.026906 32696.3760
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 6.906956 22702.5401
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 4.303952 10263.9035
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 4.789058 7037.0901
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 6.900473 12219.3934
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 7.758371 8637.2415
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 9.750601 17338.3522
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 9.305951 11102.8016
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 2.209274 5665.7127
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.474024 4040.2383
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.673924 5456.1107
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.986465 3993.9742
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.313200 7491.1413
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.585137 5301.4124
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 1.140654 10334.4690
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 1.323211 7926.6034
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 16.937086 88750.8312
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 16.484319 57230.9781
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 12.085932 84808.7889
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 12.383657 54591.7172
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 9.278318 63878.3683
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 9.748147 41779.6268
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 9.993756 77733.1826
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 10.762227 50804.6497
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 9.489801 90528.6427
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 10.802821 61363.2207
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 7.548530 74979.9663
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 8.805452 51614.7092
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 6.231186 70152.3444
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 7.929825 49468.6112
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.763593 24531.5095
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.970209 17841.0083
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.944707 31796.1067
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.094403 22277.6082
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.276205 26029.8712
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.848747 17495.2216
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.645018 17140.0871
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 4.061213 11373.1744
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 3.492122 137224.9091
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 3.661552 90244.8905

5.4 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.5 Plot selected model residuals

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

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

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

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

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

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

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

5.6 Cant coeffcients

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

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

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

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

5.7 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 3 - 9).

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
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

Version Author Date
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Version Author Date
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate oxygen phosphate sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 5 4 3 5 10 7 0
(26,26.5] 7 6 3 4 3 7 6
(26.5,26.75] 5 2 5 8 4 6 6
(26.75,27] 5 2 5 8 4 6 6
(27,27.25] 6 4 4 6 5 7 5
(27.25,27.5] 7 6 3 4 4 6 6
(27.5,27.75] 7 5 3 5 5 7 5
(27.75,27.85] 6 3 4 7 4 7 6
(27.85,27.95] 6 4 4 6 2 5 8
(27.95,28.05] 5 2 5 8 4 6 6
(28.05,28.1] 7 4 3 6 3 6 7
(28.1,28.15] 6 5 4 5 2 6 8
(28.15,28.2] 6 9 4 1 4 6 5
(28.2, Inf] 6 7 4 3 6 8 3
total 84.00 63.00 54.00 76.00 60.00 90.00 77.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 5 4 3 5 10 7 0
(26,26.5] 6 6 3 4 3 7 7
(26.5,26.75] 6 5 4 5 4 7 6
(26.75,27] 5 4 5 6 6 8 4
(27,27.25] 5 5 5 5 5 8 5
(27.25,27.5] 6 7 4 3 6 6 4
(27.5,27.75] 6 5 4 5 7 7 3
(27.75,27.85] 6 4 4 6 5 8 5
(27.85,27.95] 7 4 3 6 3 6 7
(27.95,28.05] 5 2 5 8 4 6 6
(28.05,28.1] 7 4 3 6 3 6 7
(28.1,28.15] 7 4 3 6 4 6 6
(28.15,28.2] 5 8 5 2 4 6 6
(28.2, Inf] 6 7 4 3 6 8 3
total 82.00 69.00 55.00 70.00 70.00 96.00 69.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 5 4 5 4 0 6 10
(26,26.5] 6 2 4 7 3 7 7
(26.5,26.75] 5 0 4 10 4 6 5
(26.75,27] 4 0 4 10 5 6 5
(27,27.25] 5 0 4 10 3 7 5
(27.25,27.5] 5 0 4 10 4 7 4
(27.5,27.75] 4 2 5 8 4 8 5
(27.75,27.85] 6 3 4 7 4 7 6
(27.85,27.95] 5 5 4 4 0 6 10
(27.95,28.05] 5 4 3 4 0 8 10
(28.05,28.1] 4 3 4 5 8 10 2
(28.1, Inf] 5 2 4 8 5 8 4
total 59.00 25.00 49.00 87.00 40.00 86.00 73.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 4 3 4 5 0 8 10
(26,26.5] 7 1 3 8 3 7 6
(26.5,26.75] 5 0 4 10 4 6 5
(26.75,27] 4 0 4 10 5 6 5
(27,27.25] 4 0 4 10 3 8 5
(27.25,27.5] 4 0 4 10 5 8 3
(27.5,27.75] 5 2 5 6 4 8 6
(27.75,27.85] 4 4 6 5 6 9 4
(27.85,27.95] 3 7 6 3 2 6 8
(27.95,28.05] 4 3 4 5 0 8 10
(28.05,28.1] 4 4 5 5 5 10 5
(28.1, Inf] 4 3 4 7 6 8 4
total 52.00 27.00 53.00 84.00 43.00 92.00 71.00

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
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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

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

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

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

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

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