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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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:

  • 27

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:

  • aic

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

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

# remove models with predictors fitted as NA

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

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

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

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate 158 1.9223248 664.9017 6.746550 1982-1999 –> 2000-2012 3.989270 1567.2259
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 158 1.0492038 475.5626 4.357844 1982-1999 –> 2000-2012 2.385552 1198.4564
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate_star 158 1.7232695 630.3592 5.488825 1982-1999 –> 2000-2012 3.603284 1493.2499
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate 158 1.9454291 668.6771 7.421781 1982-1999 –> 2000-2012 4.045497 1577.6150
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate 158 1.8736520 658.7976 7.056359 1982-1999 –> 2000-2012 3.879202 1550.5780
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 158 1.0480832 477.2249 4.299021 1982-1999 –> 2000-2012 2.383776 1201.9145
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate_star 158 1.5933338 607.5864 5.896294 1982-1999 –> 2000-2012 3.315100 1435.8988
Atlantic (-Inf,26] cstar_tref ~ sal + silicate + phosphate 158 1.9790736 674.0953 6.354908 1982-1999 –> 2000-2012 4.076218 1582.4535
Atlantic (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 158 1.4654213 581.1417 7.417048 1982-1999 –> 2000-2012 3.127691 1394.8248
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 158 1.4545749 580.7941 7.074044 1982-1999 –> 2000-2012 3.116063 1396.2815
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate 72 1.8358840 301.8109 4.689169 2000-2012 –> 2013-2019 3.758209 966.7126
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 72 1.2725075 251.0296 3.658367 2000-2012 –> 2013-2019 2.321711 726.5922
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate_star 72 1.7335391 293.5509 3.896954 2000-2012 –> 2013-2019 3.456809 923.9101
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate 72 1.8477634 302.7397 4.871193 2000-2012 –> 2013-2019 3.793192 971.4167
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate 72 1.8344756 303.7004 4.732561 2000-2012 –> 2013-2019 3.708128 962.4980
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 72 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.241720 721.0407
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate_star 72 1.6918467 292.0453 4.133504 2000-2012 –> 2013-2019 3.285181 899.6317
Atlantic (-Inf,26] cstar_tref ~ sal + silicate + phosphate 72 1.9924896 313.5986 4.272959 2000-2012 –> 2013-2019 3.971563 987.6939
Atlantic (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 72 1.5761474 281.8448 5.713265 2000-2012 –> 2013-2019 3.041569 862.9865
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 72 1.5044066 277.1365 5.003414 2000-2012 –> 2013-2019 2.958982 857.9306
Atlantic (26,26.5] cstar_tref ~ aou + silicate + phosphate 1046 5.0991011 6386.4219 16.115317 1982-1999 –> 2000-2012 10.089252 15626.9562
Atlantic (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1046 4.5602677 6154.7812 12.793756 1982-1999 –> 2000-2012 8.993582 15036.4433
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate 1046 4.9993120 6347.0757 14.797906 1982-1999 –> 2000-2012 9.874105 15518.2748
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1046 3.5518213 5633.9468 13.477555 1982-1999 –> 2000-2012 6.998566 13749.8718
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate_star 1046 5.1845826 6423.2015 15.926130 1982-1999 –> 2000-2012 10.270724 15723.8482
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 1046 4.5165005 6134.6062 12.512217 1982-1999 –> 2000-2012 8.908998 14988.0574
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1046 4.2948916 6031.3553 13.012884 1982-1999 –> 2000-2012 8.529991 14775.5085
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 1046 4.4942951 6124.2955 12.381481 1982-1999 –> 2000-2012 8.865824 14963.1522
Atlantic (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1046 4.4898702 6122.2348 12.384079 1982-1999 –> 2000-2012 8.854541 14956.3028
Atlantic (26,26.5] cstar_tref ~ temp + silicate + phosphate_star 1046 4.6317409 6185.3148 13.840219 1982-1999 –> 2000-2012 9.396595 15284.9417
Atlantic (26,26.5] cstar_tref ~ aou + silicate + phosphate 567 5.0442042 3454.1603 15.285689 2000-2012 –> 2013-2019 10.143305 9840.5822
Atlantic (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 567 4.5238837 3332.7028 12.241757 2000-2012 –> 2013-2019 9.084151 9487.4840
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate 567 4.9425281 3433.0688 14.248584 2000-2012 –> 2013-2019 9.941840 9780.1444
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 567 3.6070302 3077.8676 10.902628 2000-2012 –> 2013-2019 7.158851 8711.8144
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 567 4.4772850 3320.9614 11.976451 2000-2012 –> 2013-2019 8.993786 9455.5676
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 567 4.2189568 3255.5690 10.763473 2000-2012 –> 2013-2019 8.513848 9286.9243
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 567 4.4555144 3315.4339 11.876083 2000-2012 –> 2013-2019 8.949810 9439.7294
Atlantic (26,26.5] cstar_tref ~ temp + silicate + phosphate 567 4.8767953 3415.8860 13.895158 2000-2012 –> 2013-2019 10.052801 9833.6237
Atlantic (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 567 4.4550925 3315.3265 11.906159 2000-2012 –> 2013-2019 8.944963 9437.5613
Atlantic (26,26.5] cstar_tref ~ temp + silicate + phosphate_star 567 4.4562951 3313.6326 11.744360 2000-2012 –> 2013-2019 9.088036 9498.9474
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1397 3.3429532 7348.4661 10.697715 1982-1999 –> 2000-2012 6.441567 17034.7612
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + phosphate 1397 4.4696102 8157.9738 13.289697 1982-1999 –> 2000-2012 8.342369 18688.3782
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 1397 3.3316510 7339.0038 10.073920 1982-1999 –> 2000-2012 6.478599 17084.0238
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1397 3.2700730 7288.8799 10.507891 1982-1999 –> 2000-2012 6.329223 16928.5449
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate_star 1397 3.5061205 7481.6156 9.850603 1982-1999 –> 2000-2012 6.846382 17452.8191
Atlantic (26.5,26.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1397 3.5707269 7532.6314 10.111585 1982-1999 –> 2000-2012 6.990354 17592.9269
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 1397 3.4027533 7398.0044 10.818893 1982-1999 –> 2000-2012 6.563940 17160.1523
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1397 3.2249399 7250.0489 10.037456 1982-1999 –> 2000-2012 6.207974 16794.1190
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 1397 3.4336491 7423.2585 10.906572 1982-1999 –> 2000-2012 6.627923 17224.9109
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1397 3.4413502 7429.5180 10.920943 1982-1999 –> 2000-2012 6.645696 17243.1144
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 656 3.4323365 3491.6598 11.340269 2000-2012 –> 2013-2019 6.775290 10840.1259
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + phosphate 656 4.8879475 3953.4929 16.075909 2000-2012 –> 2013-2019 9.357558 12111.4667
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 656 3.3850399 3473.4551 10.375376 2000-2012 –> 2013-2019 6.716691 10812.4589
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 656 3.3455096 3460.0435 10.735554 2000-2012 –> 2013-2019 6.615583 10748.9234
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate_star 656 3.5321626 3529.2737 10.543489 2000-2012 –> 2013-2019 7.038283 11010.8893
Atlantic (26.5,26.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 656 3.5841303 3548.4361 11.020116 2000-2012 –> 2013-2019 7.154857 11081.0675
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 656 3.4910702 3513.9207 11.381386 2000-2012 –> 2013-2019 6.893823 10911.9252
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 656 3.3238240 3451.5114 11.113656 2000-2012 –> 2013-2019 6.548764 10701.5603
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 656 3.5219283 3525.4667 11.414557 2000-2012 –> 2013-2019 6.955577 10948.7252
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 656 3.5288346 3528.0369 11.412513 2000-2012 –> 2013-2019 6.970185 10957.5549
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2398 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.766100 22513.8376
Atlantic (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 2398 4.1277526 13616.6771 27.610204 1982-1999 –> 2000-2012 7.420634 30023.8830
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2398 2.1776482 10549.6945 20.348896 1982-1999 –> 2000-2012 4.132985 23683.7595
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2398 2.0001820 10143.9994 14.081577 1982-1999 –> 2000-2012 3.653171 22225.1681
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 2398 2.4457851 11106.6093 34.906111 1982-1999 –> 2000-2012 4.696912 25125.3291
Atlantic (26.75,27] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2398 2.5470452 11301.1723 39.382843 1982-1999 –> 2000-2012 4.905273 25611.7832
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2398 2.2004206 10599.5875 15.280820 1982-1999 –> 2000-2012 3.988012 23170.3800
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2398 2.0860637 10345.6268 19.975942 1982-1999 –> 2000-2012 3.599513 21872.9381
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2398 2.2716861 10752.4544 17.733985 1982-1999 –> 2000-2012 4.110647 23501.1674
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2398 2.3001008 10812.0716 20.719299 1982-1999 –> 2000-2012 4.158026 23625.2168
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1263 2.6364762 6045.0524 27.471250 2000-2012 –> 2013-2019 4.730039 16405.8891
Atlantic (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 1263 4.7690009 7542.1964 15.575587 2000-2012 –> 2013-2019 8.896754 21158.8735
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 1263 2.5846959 5994.9482 24.744636 2000-2012 –> 2013-2019 4.762344 16544.6427
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1263 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.533258 16089.9896
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 1263 2.6918036 6097.5128 23.840055 2000-2012 –> 2013-2019 5.137589 17204.1222
Atlantic (26.75,27] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1263 2.7359170 6138.5735 23.435321 2000-2012 –> 2013-2019 5.282962 17439.7458
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 1263 2.7633578 6163.7827 28.240304 2000-2012 –> 2013-2019 4.963778 16763.3702
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1263 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.341316 15998.1644
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 1263 2.8094508 6205.5690 28.490393 2000-2012 –> 2013-2019 5.081137 16958.0234
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1263 2.8252828 6219.7637 28.536665 2000-2012 –> 2013-2019 5.125384 17031.8354
Atlantic (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2031 2.4661377 9442.3058 11.932474 1982-1999 –> 2000-2012 4.580400 20773.7445
Atlantic (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 2031 3.0251761 10272.2377 12.637283 1982-1999 –> 2000-2012 5.410321 22233.2090
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2031 1.9148200 8414.4995 9.235730 1982-1999 –> 2000-2012 3.631195 18657.1971
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2031 1.8904789 8364.5325 9.689213 1982-1999 –> 2000-2012 3.460465 18143.6984
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2031 2.1351734 8856.9497 9.523454 1982-1999 –> 2000-2012 4.398726 20544.6841
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2031 2.1910052 8961.8003 9.938424 1982-1999 –> 2000-2012 4.583278 20938.3539
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 2031 2.5774029 9621.5579 12.121441 1982-1999 –> 2000-2012 4.664246 20884.8324
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2031 2.3112875 9180.8912 13.899054 1982-1999 –> 2000-2012 4.387710 20420.0232
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 2031 2.6153116 9680.8671 12.186629 1982-1999 –> 2000-2012 4.736994 21030.6003
Atlantic (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2031 2.6271564 9699.2224 12.195559 1982-1999 –> 2000-2012 4.764113 21086.4149
Atlantic (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1142 3.0519587 5801.3053 14.927443 2000-2012 –> 2013-2019 5.518096 15243.6111
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1142 2.3003827 5155.6000 13.777336 2000-2012 –> 2013-2019 4.215203 13570.0995
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1142 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.185174 13516.4782
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 1142 2.3424794 5197.0192 15.033313 2000-2012 –> 2013-2019 4.477653 14053.9689
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1142 2.3613801 5215.3740 15.167463 2000-2012 –> 2013-2019 4.552385 14177.1744
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate_star 1142 2.6802915 5502.7096 13.700856 2000-2012 –> 2013-2019 5.426597 15380.0995
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 1142 3.1722374 5889.5901 15.110201 2000-2012 –> 2013-2019 5.749640 15511.1479
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1142 2.8129211 5617.0221 14.119428 2000-2012 –> 2013-2019 5.124209 14797.9132
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 1142 3.2074821 5914.8262 15.149141 2000-2012 –> 2013-2019 5.822794 15595.6932
Atlantic (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1142 3.2173880 5921.8691 15.165532 2000-2012 –> 2013-2019 5.844544 15621.0915
Atlantic (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2025 3.5064046 10839.7953 14.078762 1982-1999 –> 2000-2012 6.154820 24625.3283
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate 2025 3.2329612 10508.9649 22.030264 1982-1999 –> 2000-2012 6.036248 24619.6170
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 2025 3.1435193 10397.3400 20.035882 1982-1999 –> 2000-2012 5.563423 23663.4868
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 2025 2.7655192 9878.4761 23.145713 1982-1999 –> 2000-2012 5.304972 23422.1817
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2025 2.6905754 9769.2091 21.422922 1982-1999 –> 2000-2012 4.857623 22402.1133
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 2025 3.8517847 11220.2743 24.366009 1982-1999 –> 2000-2012 6.691681 25407.6103
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 2025 3.5798778 10923.7821 14.848059 1982-1999 –> 2000-2012 6.294501 24851.4400
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2025 3.5042119 10839.2619 16.099080 1982-1999 –> 2000-2012 6.151630 24624.6273
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate_star 2025 3.6474870 10999.5567 15.738349 1982-1999 –> 2000-2012 6.430810 25071.0711
Atlantic (27.25,27.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2025 3.6495556 11001.8530 15.721562 1982-1999 –> 2000-2012 6.439997 25088.0695
Atlantic (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1109 4.1087541 6293.5055 16.055208 2000-2012 –> 2013-2019 7.615159 17133.3008
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate 1109 4.0365172 6252.1635 24.705305 2000-2012 –> 2013-2019 7.269478 16761.1284
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 1109 3.9583585 6210.7953 22.567034 2000-2012 –> 2013-2019 7.101878 16608.1354
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 1109 3.5932118 5996.1307 25.833019 2000-2012 –> 2013-2019 6.358731 15874.6067
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1109 3.5374046 5963.4120 24.085736 2000-2012 –> 2013-2019 6.227980 15732.6211
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 1109 3.9960259 6231.8018 29.036696 2000-2012 –> 2013-2019 7.323574 16859.5576
Atlantic (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1109 3.9750215 6220.1126 28.586368 2000-2012 –> 2013-2019 7.320502 16869.6354
Atlantic (27.25,27.5] cstar_tref ~ sal + silicate + phosphate_star 1109 4.0164145 6241.0898 29.775574 2000-2012 –> 2013-2019 7.371016 16899.6395
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 1109 4.2290377 6357.5051 17.854397 2000-2012 –> 2013-2019 7.808916 17281.2872
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1109 4.0771941 6278.4029 17.990130 2000-2012 –> 2013-2019 7.581406 17117.6648
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2804 3.5998639 15152.6723 18.814168 1982-1999 –> 2000-2012 6.434200 33541.5247
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 2804 2.7836924 13708.7557 13.816311 1982-1999 –> 2000-2012 5.258742 31083.3422
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 2804 2.7656318 13674.2524 14.269310 1982-1999 –> 2000-2012 5.031500 30391.3946
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2804 2.4538915 13003.5694 13.901382 1982-1999 –> 2000-2012 4.821076 30047.3887
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2804 2.3944064 12867.9502 14.685866 1982-1999 –> 2000-2012 4.494974 29021.3907
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 2804 3.6637192 15251.2765 18.296963 1982-1999 –> 2000-2012 6.486121 33608.6194
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2804 3.5991348 15153.5364 18.870153 1982-1999 –> 2000-2012 6.410481 33483.5690
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate_star 2804 3.7345054 15358.5944 18.056531 1982-1999 –> 2000-2012 6.610860 33857.3474
Atlantic (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2804 3.7322940 15355.2726 18.019343 1982-1999 –> 2000-2012 6.610979 33860.0731
Atlantic (27.5,27.75] cstar_tref ~ temp + silicate + phosphate_star 2804 3.7465465 15374.6470 18.562937 1982-1999 –> 2000-2012 6.651091 33944.2347
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 1515 3.4259760 8040.4845 14.371977 2000-2012 –> 2013-2019 6.209668 21749.2402
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 1515 3.4234258 8040.2283 14.171915 2000-2012 –> 2013-2019 6.189058 21714.4806
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate_star 1515 3.8330385 8380.6670 14.887538 2000-2012 –> 2013-2019 7.361854 23419.5503
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 1515 2.8745087 7510.7055 15.545879 2000-2012 –> 2013-2019 5.328400 20514.2749
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1515 2.8711798 7509.1946 15.461950 2000-2012 –> 2013-2019 5.265586 20377.1448
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 1515 3.3350768 7961.0058 16.848174 2000-2012 –> 2013-2019 6.580411 22532.2534
Atlantic (27.5,27.75] cstar_tref ~ sal + phosphate + phosphate_star 1515 3.7058316 8278.4041 14.544521 2000-2012 –> 2013-2019 7.114299 23122.6925
Atlantic (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1515 3.2671643 7898.6687 16.135848 2000-2012 –> 2013-2019 6.458907 22376.5370
Atlantic (27.5,27.75] cstar_tref ~ sal + silicate + phosphate_star 1515 3.4628831 8072.9513 19.517533 2000-2012 –> 2013-2019 6.742176 22700.5745
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1515 4.3355564 8757.9391 21.128500 2000-2012 –> 2013-2019 7.934691 23911.4755
Atlantic (27.75,27.85] cstar_tref ~ aou + phosphate + phosphate_star 1036 2.4092497 4771.9821 15.106834 1982-1999 –> 2000-2012 4.340148 10265.0607
Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1036 2.2930064 4671.5184 15.409426 1982-1999 –> 2000-2012 4.214188 10153.2785
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate 1036 2.2757763 4653.8902 11.420567 1982-1999 –> 2000-2012 4.249564 10204.9673
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 1036 1.9943230 4382.3519 12.367472 1982-1999 –> 2000-2012 3.677620 9515.1410
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1036 1.7389083 4098.3902 12.226980 1982-1999 –> 2000-2012 3.547586 9420.8408
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1036 1.5641536 3880.9392 12.798383 1982-1999 –> 2000-2012 3.161198 8876.8661
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 1036 2.3534421 4725.4219 15.118939 1982-1999 –> 2000-2012 4.258564 10185.0207
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 1036 2.3208187 4696.4989 15.540108 1982-1999 –> 2000-2012 4.292705 10247.0312
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1036 2.2923345 4672.9112 15.392219 1982-1999 –> 2000-2012 4.197456 10134.5099
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 1036 2.3461625 4719.0029 15.610710 1982-1999 –> 2000-2012 4.360125 10325.2757
Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 513 2.6767927 2478.0504 14.335023 2000-2012 –> 2013-2019 4.969799 7149.5688
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate 513 2.6899097 2481.0658 10.612786 2000-2012 –> 2013-2019 4.965686 7134.9560
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 513 2.4147179 2372.3345 11.388027 2000-2012 –> 2013-2019 4.409041 6754.6864
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 513 1.8570079 2102.8906 11.721525 2000-2012 –> 2013-2019 3.595916 6201.2808
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 513 1.7475521 2042.5606 12.039326 2000-2012 –> 2013-2019 3.311706 5923.4997
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 513 2.2786438 2312.8244 11.507801 2000-2012 –> 2013-2019 4.561263 6974.9360
Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 513 2.2850958 2315.7255 11.564796 2000-2012 –> 2013-2019 4.587523 6995.7397
Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate_star 513 2.2851991 2313.7719 11.573863 2000-2012 –> 2013-2019 4.593218 6996.8119
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 513 2.7274869 2497.2995 14.905575 2000-2012 –> 2013-2019 5.048306 7193.7984
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 513 2.6632845 2474.8596 14.123109 2000-2012 –> 2013-2019 4.955619 7147.7708
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 983 3.4444208 5231.0950 40.406696 1982-1999 –> 2000-2012 6.361383 11892.9889
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 983 3.4332878 5226.7302 38.381356 1982-1999 –> 2000-2012 6.310886 11854.3203
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 983 3.4396213 5230.3536 36.781212 1982-1999 –> 2000-2012 6.169629 11717.2584
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 983 3.4272905 5225.2930 34.214054 1982-1999 –> 2000-2012 6.157169 11714.0714
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate 983 3.7051030 5374.5251 49.117027 1982-1999 –> 2000-2012 6.634955 12048.2006
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 983 3.0946626 5022.5819 23.332862 1982-1999 –> 2000-2012 6.011468 11686.3324
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 983 3.6929852 5370.0846 46.749916 1982-1999 –> 2000-2012 6.605623 12030.0144
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 983 3.0757549 5012.5332 23.130965 1982-1999 –> 2000-2012 5.940010 11629.7050
Atlantic (27.85,27.95] cstar_tref ~ temp + phosphate + phosphate_star 983 3.8387704 5444.2022 52.175591 1982-1999 –> 2000-2012 6.791625 12138.7733
Atlantic (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 983 3.8308048 5442.1184 50.328170 1982-1999 –> 2000-2012 6.776013 12131.7618
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 569 3.7400627 3125.8905 23.720140 2000-2012 –> 2013-2019 7.184483 8356.9855
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 569 3.7372699 3127.0405 23.268863 2000-2012 –> 2013-2019 7.170558 8353.7707
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 569 3.4103854 3022.8793 30.447244 2000-2012 –> 2013-2019 6.850007 8253.2329
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 569 3.3215129 2994.8304 29.207068 2000-2012 –> 2013-2019 6.748803 8220.1234
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate 569 3.8337887 3154.0574 23.962464 2000-2012 –> 2013-2019 7.538892 8528.5825
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 569 3.6730463 3107.3144 22.693963 2000-2012 –> 2013-2019 6.767709 8129.8962
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 569 3.8181580 3151.4082 23.646089 2000-2012 –> 2013-2019 7.511143 8521.4928
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 569 3.6600265 3105.2733 23.151675 2000-2012 –> 2013-2019 6.735781 8117.8065
Atlantic (27.85,27.95] cstar_tref ~ temp + phosphate + phosphate_star 569 3.8865243 3169.6044 23.837557 2000-2012 –> 2013-2019 7.725295 8613.8066
Atlantic (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 569 3.8608548 3164.0633 23.852541 2000-2012 –> 2013-2019 7.691660 8606.1817
Atlantic (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1204 4.6141408 7110.9386 25.515496 1982-1999 –> 2000-2012 9.520857 17210.9282
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 1204 4.6143746 7111.0606 26.067945 1982-1999 –> 2000-2012 9.446234 17159.5181
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1204 4.5430532 7075.5511 25.262696 1982-1999 –> 2000-2012 9.288330 17065.3992
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate 1204 4.6394934 7122.1333 25.502387 1982-1999 –> 2000-2012 9.576810 17240.9624
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate_star 1204 4.6365931 7120.6275 25.267404 1982-1999 –> 2000-2012 9.573588 17239.2383
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 1204 4.5804981 7093.3170 24.656039 1982-1999 –> 2000-2012 9.465022 17178.1118
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1204 4.5224648 7064.6136 21.845213 1982-1999 –> 2000-2012 9.376834 17130.6504
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 1204 4.5699997 7087.7916 24.379873 1982-1999 –> 2000-2012 9.447168 17167.5348
Atlantic (27.95,28.05] cstar_tref ~ temp + phosphate + phosphate_star 1204 4.6374938 7121.0952 25.354382 1982-1999 –> 2000-2012 9.574408 17239.6512
Atlantic (27.95,28.05] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1204 4.5725557 7089.1381 24.432332 1982-1999 –> 2000-2012 9.450955 17169.7271
Atlantic (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 666 4.4357083 3886.2896 24.809832 2000-2012 –> 2013-2019 9.049849 10997.2283
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 666 4.3483289 3859.7886 24.917815 2000-2012 –> 2013-2019 8.962704 10970.8492
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 666 4.2792874 3840.4697 24.913097 2000-2012 –> 2013-2019 8.822341 10916.0208
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate 666 4.4656542 3893.2519 24.206850 2000-2012 –> 2013-2019 9.105148 11015.3851
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 666 4.4563090 3892.4615 25.112416 2000-2012 –> 2013-2019 9.091736 11014.4832
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 666 4.4296661 3884.4740 24.087584 2000-2012 –> 2013-2019 9.010164 10977.7910
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 666 4.4290548 3886.2901 23.783433 2000-2012 –> 2013-2019 8.951520 10950.9038
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 666 4.4290672 3884.2939 23.826635 2000-2012 –> 2013-2019 8.999067 10972.0855
Atlantic (27.95,28.05] cstar_tref ~ temp + phosphate + phosphate_star 666 4.4690013 3894.2499 24.065812 2000-2012 –> 2013-2019 9.106495 11015.3451
Atlantic (27.95,28.05] cstar_tref ~ temp + silicate + phosphate + phosphate_star 666 4.4291749 3884.3263 23.917524 2000-2012 –> 2013-2019 9.001731 10973.4643
Atlantic (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 804 1.1608853 2531.5393 11.005507 1982-1999 –> 2000-2012 2.120684 5506.7947
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 804 1.1604167 2532.8901 10.979649 1982-1999 –> 2000-2012 2.113485 5495.0017
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 804 1.0598757 2387.1610 7.838670 1982-1999 –> 2000-2012 1.952765 5208.9110
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 804 1.0324411 2346.9902 6.945256 1982-1999 –> 2000-2012 1.924797 5169.4535
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 804 1.1795166 2557.1414 11.041510 1982-1999 –> 2000-2012 2.150714 5557.8051
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 804 1.1065403 2456.4443 11.331523 1982-1999 –> 2000-2012 2.047349 5390.6954
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 804 1.1772969 2556.1127 10.971289 1982-1999 –> 2000-2012 2.145319 5551.7285
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 804 1.0436142 2364.2985 12.188672 1982-1999 –> 2000-2012 1.882891 5054.7923
Atlantic (28.05,28.1] cstar_tref ~ temp + phosphate + phosphate_star 804 1.1853678 2565.0986 11.052937 1982-1999 –> 2000-2012 2.162359 5578.5605
Atlantic (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 804 1.1824509 2563.1368 10.968185 1982-1999 –> 2000-2012 2.157405 5574.1061
Atlantic (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 434 1.2192680 1413.7202 12.282594 2000-2012 –> 2013-2019 2.380153 3945.2595
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 434 1.2132881 1411.4526 12.215619 2000-2012 –> 2013-2019 2.373705 3944.3427
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 434 1.1212849 1343.0032 8.929761 2000-2012 –> 2013-2019 2.181161 3730.1642
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 434 1.2420686 1431.8021 5.714684 2000-2012 –> 2013-2019 2.418524 3986.7645
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 434 1.0586072 1295.0748 7.429722 2000-2012 –> 2013-2019 2.091048 3642.0650
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 434 1.2411589 1429.1662 12.303444 2000-2012 –> 2013-2019 2.420675 3986.3076
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 434 1.1480057 1363.4454 12.833810 2000-2012 –> 2013-2019 2.254546 3819.8898
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 434 1.2303737 1423.5906 12.182262 2000-2012 –> 2013-2019 2.407671 3979.7033
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 434 1.1075442 1334.3006 13.578379 2000-2012 –> 2013-2019 2.151158 3698.5991
Atlantic (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 434 1.2341739 1426.2674 12.180217 2000-2012 –> 2013-2019 2.416625 3989.4043
Atlantic (28.1,28.15] cstar_tref ~ aou + phosphate + phosphate_star 936 0.8709417 2407.5796 9.946705 1982-1999 –> 2000-2012 1.591247 5242.9037
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 936 0.8652007 2397.1990 9.973159 1982-1999 –> 2000-2012 1.550109 5104.0130
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 936 0.7732900 2186.9596 6.039973 1982-1999 –> 2000-2012 1.445165 4844.0128
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 936 0.7598609 2156.1646 5.927820 1982-1999 –> 2000-2012 1.389314 4646.2932
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate 936 0.8806006 2428.2260 10.018839 1982-1999 –> 2000-2012 1.605100 5278.5879
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 936 0.8570872 2379.5613 9.929510 1982-1999 –> 2000-2012 1.575478 5209.9919
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 936 0.8783084 2425.3470 10.051818 1982-1999 –> 2000-2012 1.576700 5182.6502
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 936 0.7856962 2218.7544 10.025704 1982-1999 –> 2000-2012 1.374486 4535.9182
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 936 0.8870327 2443.8499 10.073433 1982-1999 –> 2000-2012 1.597177 5244.3771
Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 936 0.8830714 2435.4712 10.082608 1982-1999 –> 2000-2012 1.588411 5218.4149
Atlantic (28.1,28.15] cstar_tref ~ aou + phosphate + phosphate_star 497 1.0350290 1454.6478 11.396766 2000-2012 –> 2013-2019 1.905971 3862.2274
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 497 1.0349299 1456.5526 11.397933 2000-2012 –> 2013-2019 1.900131 3853.7516
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 497 0.8714406 1285.6430 6.181914 2000-2012 –> 2013-2019 1.644731 3472.6026
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 497 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.631120 3443.5998
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate 497 1.0551579 1473.7932 11.501643 2000-2012 –> 2013-2019 1.935758 3902.0192
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 497 0.9653756 1387.3983 11.632299 2000-2012 –> 2013-2019 1.822463 3766.9596
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 497 1.0549100 1475.5596 11.494491 2000-2012 –> 2013-2019 1.933218 3900.9066
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 497 0.8791505 1296.3985 11.933687 2000-2012 –> 2013-2019 1.664847 3515.1529
Atlantic (28.1,28.15] cstar_tref ~ temp + phosphate + phosphate_star 497 1.0606641 1478.9667 11.544277 2000-2012 –> 2013-2019 1.945265 3915.6768
Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 497 1.0602381 1480.5675 11.532519 2000-2012 –> 2013-2019 1.943310 3916.0387
Atlantic (28.15,28.2] cstar_tref ~ aou + silicate + phosphate 1540 0.8661493 3937.7409 2.849532 1982-1999 –> 2000-2012 1.837146 10128.2626
Atlantic (28.15,28.2] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1540 0.7514019 3502.0216 2.306367 1982-1999 –> 2000-2012 1.535911 8745.9426
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + phosphate + phosphate_star 1540 0.7103431 3328.9486 2.687186 1982-1999 –> 2000-2012 1.488766 8538.2298
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate 1540 0.8659392 3938.9937 2.870374 1982-1999 –> 2000-2012 1.829667 10098.0952
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1540 0.7055495 3310.0933 2.511827 1982-1999 –> 2000-2012 1.442265 8276.4329
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate + phosphate_star 1540 0.8620248 3925.0394 2.618817 1982-1999 –> 2000-2012 1.806413 9993.9715
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 1540 0.7569911 3524.8470 2.346351 1982-1999 –> 2000-2012 1.546083 8794.6784
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1540 0.7016940 3293.2166 2.285566 1982-1999 –> 2000-2012 1.464622 8415.0657
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 1540 0.7628987 3548.7902 2.378988 1982-1999 –> 2000-2012 1.557131 8847.4995
Atlantic (28.15,28.2] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1540 0.7591252 3533.5181 2.362963 1982-1999 –> 2000-2012 1.550927 8818.5971
Atlantic (28.15,28.2] cstar_tref ~ aou + silicate + phosphate + phosphate_star 819 0.9417136 2237.8528 6.997675 2000-2012 –> 2013-2019 1.693115 5739.8744
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + phosphate + phosphate_star 819 1.0621809 2435.0324 11.038429 2000-2012 –> 2013-2019 1.772524 5763.9810
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate 819 1.1570544 2575.1686 8.365386 2000-2012 –> 2013-2019 2.022994 6514.1624
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 819 0.9381573 2233.6552 6.391027 2000-2012 –> 2013-2019 1.643707 5543.7484
Atlantic (28.15,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 819 1.1975282 2631.4865 9.688312 2000-2012 –> 2013-2019 2.066839 6582.4509
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate + phosphate_star 819 1.1027685 2496.4568 9.381846 2000-2012 –> 2013-2019 1.964793 6421.4962
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 819 0.9555104 2261.6765 7.212608 2000-2012 –> 2013-2019 1.712501 5786.5235
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 819 0.8478245 2067.8177 6.287814 2000-2012 –> 2013-2019 1.549519 5361.0343
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 819 0.9645019 2277.0184 7.305998 2000-2012 –> 2013-2019 1.727401 5825.8086
Atlantic (28.15,28.2] cstar_tref ~ temp + silicate + phosphate + phosphate_star 819 0.9599097 2269.2008 7.293954 2000-2012 –> 2013-2019 1.719035 5802.7189
Atlantic (28.2, Inf] cstar_tref ~ aou + silicate + phosphate 2693 0.9032859 7104.5598 10.315791 1982-1999 –> 2000-2012 1.744044 16358.5611
Atlantic (28.2, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2693 0.8593664 6838.1015 5.693506 1982-1999 –> 2000-2012 1.607617 15228.9593
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 2693 0.7445250 6065.4852 2.717163 1982-1999 –> 2000-2012 1.382026 13267.4629
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2693 0.7404046 6037.5946 2.951204 1982-1999 –> 2000-2012 1.374822 13205.5921
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 2693 0.8624369 6857.3111 13.094517 1982-1999 –> 2000-2012 1.660133 15723.0948
Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2693 0.7721739 6261.8769 7.611345 1982-1999 –> 2000-2012 1.461405 14042.9241
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate 2693 0.8645161 6870.2803 5.772725 1982-1999 –> 2000-2012 1.618469 15317.4782
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2693 0.6982481 5721.8554 7.872375 1982-1999 –> 2000-2012 1.337148 12942.1058
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate_star 2693 0.8750696 6935.6314 5.909559 1982-1999 –> 2000-2012 1.640286 15492.8921
Atlantic (28.2, Inf] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2693 0.8714327 6913.2000 5.866418 1982-1999 –> 2000-2012 1.633520 15440.0494
Atlantic (28.2, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1557 1.0649426 4626.5104 8.696200 2000-2012 –> 2013-2019 1.924309 11464.6119
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1557 0.8505933 3926.6635 2.632616 2000-2012 –> 2013-2019 1.595118 9992.1487
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1557 0.8341145 3867.7431 2.739508 2000-2012 –> 2013-2019 1.574519 9905.3377
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 1557 0.8922942 4075.7052 6.658049 2000-2012 –> 2013-2019 1.754731 10933.0163
Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1557 0.8389904 3883.8932 2.971888 2000-2012 –> 2013-2019 1.611164 10145.7701
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + phosphate + phosphate_star 1557 1.0196005 4491.0202 19.690960 2000-2012 –> 2013-2019 1.889935 11397.4279
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate 1557 1.0748512 4655.3501 9.198412 2000-2012 –> 2013-2019 1.939367 11525.6305
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1557 0.7915199 3704.5208 11.936972 2000-2012 –> 2013-2019 1.489768 9426.3762
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate_star 1557 1.0875060 4691.7988 9.339942 2000-2012 –> 2013-2019 1.962576 11627.4302
Atlantic (28.2, Inf] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1557 1.0829959 4678.8574 9.346200 2000-2012 –> 2013-2019 1.954429 11592.0573
Indo-Pacific (-Inf,26] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5288 7.7270410 36643.7160 27.677067 1982-1999 –> 2000-2012 15.807897 87128.0807
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5288 6.2360939 34376.5179 29.968567 1982-1999 –> 2000-2012 12.765635 81794.3473
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5288 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.671699 81612.6324
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 5288 7.5866534 36449.8006 30.398788 1982-1999 –> 2000-2012 15.509135 86649.4191
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + phosphate_star 5288 7.7875649 36724.2324 32.694508 1982-1999 –> 2000-2012 15.956418 87362.4088
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 5288 7.4813073 36301.9161 28.357780 1982-1999 –> 2000-2012 15.294363 86301.4501
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5288 7.2933052 36034.7494 29.166512 1982-1999 –> 2000-2012 14.877485 85608.5624
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate_star 5288 7.4060853 36195.0399 28.515322 1982-1999 –> 2000-2012 15.143432 86054.4924
Indo-Pacific (-Inf,26] cstar_tref ~ temp + phosphate + phosphate_star 5288 7.7813287 36715.7598 32.534467 1982-1999 –> 2000-2012 15.937539 87331.6542
Indo-Pacific (-Inf,26] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5288 7.3907730 36173.1511 28.492599 1982-1999 –> 2000-2012 15.105076 85989.6943
Indo-Pacific (-Inf,26] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2816 7.4838789 19339.2768 24.626991 2000-2012 –> 2013-2019 15.210920 55982.9928
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 2816 5.9520247 18049.4373 24.894024 2000-2012 –> 2013-2019 12.188119 52425.9552
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2816 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.070720 52285.7513
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 2816 7.3755420 19257.1519 27.689978 2000-2012 –> 2013-2019 14.962195 55706.9524
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 2816 7.2293095 19144.3661 24.250881 2000-2012 –> 2013-2019 14.710617 55446.2822
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2816 7.0001768 18964.9700 25.465195 2000-2012 –> 2013-2019 14.293482 54999.7194
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate_star 2816 7.1474074 19080.1961 24.474615 2000-2012 –> 2013-2019 14.553493 55275.2360
Indo-Pacific (-Inf,26] cstar_tref ~ temp + phosphate + phosphate_star 2816 7.6384054 19452.3815 26.635654 2000-2012 –> 2013-2019 15.419734 56168.1413
Indo-Pacific (-Inf,26] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2816 7.1344030 19069.9395 24.441528 2000-2012 –> 2013-2019 14.525176 55243.0906
Indo-Pacific (-Inf,26] cstar_tref ~ temp + silicate + phosphate_star 2816 7.3741321 19254.0751 27.379074 2000-2012 –> 2013-2019 15.195870 56024.6147
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5525 4.8905258 33230.9339 41.688307 1982-1999 –> 2000-2012 9.537710 78823.9388
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 5525 5.0675025 33623.7421 44.531956 1982-1999 –> 2000-2012 9.845665 79645.4511
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5525 4.5360650 32401.5327 43.772780 1982-1999 –> 2000-2012 8.782438 76605.3494
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 5525 5.4891091 34506.8347 46.051915 1982-1999 –> 2000-2012 10.700297 81866.6037
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate_star 5525 5.4948647 34516.4151 53.629273 1982-1999 –> 2000-2012 10.708371 81881.0422
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 5525 4.8893893 33228.3657 40.409229 1982-1999 –> 2000-2012 9.509150 78730.0815
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5525 4.8803203 33209.8508 41.154556 1982-1999 –> 2000-2012 9.499989 78713.2617
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 5525 4.9245814 33307.6149 49.529819 1982-1999 –> 2000-2012 9.555972 78848.1124
Indo-Pacific (26,26.5] cstar_tref ~ temp + phosphate + phosphate_star 5525 5.4949921 34516.6714 53.690387 1982-1999 –> 2000-2012 10.707753 81879.0953
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5525 4.9304894 33320.8635 50.805047 1982-1999 –> 2000-2012 9.566622 78877.1440
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2918 4.8175903 17468.7156 40.382988 2000-2012 –> 2013-2019 9.708116 50699.6495
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 2918 5.0324162 17723.3190 47.734928 2000-2012 –> 2013-2019 10.099919 51347.0611
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2918 4.4724496 17036.8813 46.310491 2000-2012 –> 2013-2019 9.008515 49438.4140
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate 2918 5.4808261 18219.4544 37.883881 2000-2012 –> 2013-2019 10.973384 52731.2302
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 2918 5.4747290 18214.9585 36.296683 2000-2012 –> 2013-2019 10.963838 52721.7932
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 2918 4.8142859 17464.7112 37.043514 2000-2012 –> 2013-2019 9.703675 50693.0769
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2918 4.8065118 17457.2797 38.739984 2000-2012 –> 2013-2019 9.686832 50667.1305
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 2918 4.8483037 17505.8034 34.431113 2000-2012 –> 2013-2019 9.772885 50813.4183
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2918 4.8517131 17509.9060 34.225344 2000-2012 –> 2013-2019 9.782203 50830.7695
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate_star 2918 5.0016139 17685.4884 31.434569 2000-2012 –> 2013-2019 10.282583 51763.1714
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + phosphate + phosphate_star 4544 4.3483592 26262.8430 22.498422 1982-1999 –> 2000-2012 8.487270 61980.7739
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4544 4.0473152 25612.8259 22.127132 1982-1999 –> 2000-2012 7.996383 60742.2745
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4544 4.2282325 26010.2468 17.683523 1982-1999 –> 2000-2012 8.162414 61092.2007
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4544 3.9265162 25339.4488 20.226531 1982-1999 –> 2000-2012 7.683911 59845.1956
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 4544 4.2651270 26089.2026 19.530570 1982-1999 –> 2000-2012 8.331264 61586.0455
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4544 4.1322494 25801.5670 26.615035 1982-1999 –> 2000-2012 8.153897 61160.0507
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4544 3.9477481 25388.4579 23.151958 1982-1999 –> 2000-2012 7.824940 60288.9073
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 4544 4.2139237 25979.4400 32.785894 1982-1999 –> 2000-2012 8.307920 61562.1542
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4544 4.2095240 25969.9463 32.334600 1982-1999 –> 2000-2012 8.306431 61561.5980
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate_star 4544 4.2542459 26063.9877 34.848227 1982-1999 –> 2000-2012 8.370257 61712.1452
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + phosphate + phosphate_star 2447 4.7435174 14573.1612 20.966573 2000-2012 –> 2013-2019 9.091877 40836.0042
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2447 4.4033896 14211.0265 24.538450 2000-2012 –> 2013-2019 8.450705 39823.8524
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 2447 4.6312511 14457.9407 20.916727 2000-2012 –> 2013-2019 8.859483 40468.1875
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2447 4.2938981 14089.7973 24.434470 2000-2012 –> 2013-2019 8.220414 39429.2462
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 2447 4.6619310 14490.2543 19.589333 2000-2012 –> 2013-2019 8.927058 40579.4569
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 2447 4.4871872 14303.2855 23.916608 2000-2012 –> 2013-2019 8.619437 40104.8525
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2447 4.2923135 14087.9909 22.815590 2000-2012 –> 2013-2019 8.240061 39476.4489
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 2447 4.5629428 14385.2194 23.337978 2000-2012 –> 2013-2019 8.776867 40364.6594
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2447 4.5556780 14377.4214 23.174250 2000-2012 –> 2013-2019 8.765202 40347.3676
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate_star 2447 4.7016885 14529.8140 29.527447 2000-2012 –> 2013-2019 8.955934 40593.8017
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 5354 4.5403612 31405.2681 19.876020 1982-1999 –> 2000-2012 8.549339 73701.4539
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5354 4.5232238 31366.7748 18.928405 1982-1999 –> 2000-2012 8.520208 73619.8323
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 5354 4.3077986 30844.2463 21.980567 1982-1999 –> 2000-2012 7.995606 71884.6902
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5354 4.2906105 30803.4359 21.052395 1982-1999 –> 2000-2012 7.964508 71788.9629
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate 5354 4.7325547 31849.2068 22.112703 1982-1999 –> 2000-2012 8.938048 74866.1886
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 5354 4.2057274 30587.4712 23.104196 1982-1999 –> 2000-2012 7.885923 71596.7963
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 5354 4.7085076 31796.6584 21.818996 1982-1999 –> 2000-2012 8.895315 74748.5682
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5354 4.1702723 30498.8181 21.453131 1982-1999 –> 2000-2012 7.822736 71396.2141
Indo-Pacific (26.75,27] cstar_tref ~ temp + phosphate + phosphate_star 5354 4.8452343 32101.1707 23.622430 1982-1999 –> 2000-2012 9.190596 75610.9426
Indo-Pacific (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5354 4.8218019 32051.2593 23.312826 1982-1999 –> 2000-2012 9.148674 75498.8053
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 2868 4.9134802 17280.6429 19.343238 2000-2012 –> 2013-2019 9.453841 48685.9111
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2868 4.9018613 17269.0630 18.494849 2000-2012 –> 2013-2019 9.425085 48635.8378
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 2868 4.6612052 16980.3073 20.095371 2000-2012 –> 2013-2019 8.969004 47824.5536
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2868 4.6499950 16968.4956 19.282213 2000-2012 –> 2013-2019 8.940606 47771.9315
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate 2868 5.1322867 17530.5538 18.555267 2000-2012 –> 2013-2019 9.864841 49379.7605
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 2868 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.783128 47463.7121
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2868 5.1132156 17511.1996 17.396394 2000-2012 –> 2013-2019 9.821723 49307.8580
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2868 4.5537010 16848.4650 17.066955 2000-2012 –> 2013-2019 8.723973 47347.2831
Indo-Pacific (26.75,27] cstar_tref ~ temp + phosphate + phosphate_star 2868 5.2448998 17655.0527 17.217990 2000-2012 –> 2013-2019 10.090134 49756.2234
Indo-Pacific (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2868 5.2254515 17635.7438 17.046500 2000-2012 –> 2013-2019 10.047253 49687.0031
Indo-Pacific (27,27.25] cstar_tref ~ aou + phosphate + phosphate_star 6466 4.7984147 38640.7823 53.611488 1982-1999 –> 2000-2012 8.703936 87808.0078
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 6466 4.4389355 37635.7547 39.385070 1982-1999 –> 2000-2012 8.090056 85614.5068
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 6466 4.7089499 38399.3937 56.109262 1982-1999 –> 2000-2012 8.486198 86978.3817
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 6466 4.7465593 38502.2685 25.938937 1982-1999 –> 2000-2012 8.792810 88297.1419
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6466 4.3929768 37503.1646 41.945012 1982-1999 –> 2000-2012 7.958712 85065.6810
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 6466 4.3599345 37403.5276 46.003290 1982-1999 –> 2000-2012 7.968003 85172.6402
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 6466 4.5799992 38040.3224 37.420573 1982-1999 –> 2000-2012 8.364560 86653.4940
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6466 3.9500266 36128.6900 31.512269 1982-1999 –> 2000-2012 7.252857 82337.5496
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 6466 4.7461789 38501.2320 36.893307 1982-1999 –> 2000-2012 8.687012 87829.5354
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 6466 4.6882058 38342.2992 36.052942 1982-1999 –> 2000-2012 8.593789 87511.8009
Indo-Pacific (27,27.25] cstar_tref ~ aou + phosphate + phosphate_star 3470 5.7871239 22041.5433 46.597377 2000-2012 –> 2013-2019 10.585539 60682.3256
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3470 5.1328308 21210.8952 31.173698 2000-2012 –> 2013-2019 9.571766 58846.6499
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 3470 5.6798492 21913.6907 49.289012 2000-2012 –> 2013-2019 10.388799 60313.0844
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 3470 5.3345972 21478.4743 22.271388 2000-2012 –> 2013-2019 10.081157 59980.7427
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3470 5.0789520 21139.6617 33.597697 2000-2012 –> 2013-2019 9.471929 58642.8263
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 3470 5.1322261 21210.0776 39.784583 2000-2012 –> 2013-2019 9.492161 58613.6052
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 3470 5.2457410 21361.9039 28.969816 2000-2012 –> 2013-2019 9.825740 59402.2264
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3470 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.422365 56385.6280
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 3470 5.4066556 21571.5906 28.251741 2000-2012 –> 2013-2019 10.152835 60072.8226
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3470 5.3226341 21462.8935 27.632792 2000-2012 –> 2013-2019 10.010840 59805.1927
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate 5847 3.9594704 32695.3009 33.448037 1982-1999 –> 2000-2012 7.223782 73775.0697
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5847 3.9594630 32697.2790 33.418727 1982-1999 –> 2000-2012 7.221070 73765.9675
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 5847 3.8461151 32357.6286 30.339456 1982-1999 –> 2000-2012 7.021167 73001.7908
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5847 3.6920890 31881.6814 32.521736 1982-1999 –> 2000-2012 6.762564 71999.2104
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 5847 3.7105782 31938.0962 31.726047 1982-1999 –> 2000-2012 6.781708 72056.9912
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5847 3.7568967 32083.1670 30.801943 1982-1999 –> 2000-2012 6.844184 72284.8816
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 5847 3.9564842 32688.4779 34.034247 1982-1999 –> 2000-2012 7.220526 73768.9438
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5847 3.3461863 30731.3292 33.390589 1982-1999 –> 2000-2012 6.270480 70078.9213
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate_star 5847 4.0009722 32819.2352 34.193300 1982-1999 –> 2000-2012 7.303180 74083.1918
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5847 3.9732569 32737.9473 34.309542 1982-1999 –> 2000-2012 7.259784 73926.7734
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate 3127 4.6475693 18492.3392 32.264940 2000-2012 –> 2013-2019 8.607040 51187.6401
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3127 4.6475485 18494.3112 32.208168 2000-2012 –> 2013-2019 8.607012 51191.5902
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3127 4.5032127 18297.0049 28.659822 2000-2012 –> 2013-2019 8.349328 50654.6335
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3127 4.3037583 18015.6837 32.127293 2000-2012 –> 2013-2019 7.995847 49897.3651
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3127 4.3425043 18069.7354 30.551097 2000-2012 –> 2013-2019 8.053082 50007.8316
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3127 4.4121255 18169.2074 29.187384 2000-2012 –> 2013-2019 8.169022 50252.3744
Indo-Pacific (27.25,27.5] cstar_tref ~ silicate + phosphate + phosphate_star 3127 4.6569059 18504.8903 33.434540 2000-2012 –> 2013-2019 8.632171 51246.7469
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 3127 4.6438859 18489.3806 33.023859 2000-2012 –> 2013-2019 8.600370 51177.8584
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3127 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.189910 48040.0175
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3127 4.6568828 18506.8594 33.373407 2000-2012 –> 2013-2019 8.630140 51244.8067
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 5836 3.5070701 31219.6540 20.172306 1982-1999 –> 2000-2012 6.135140 69895.5542
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate_star 5836 3.5667966 31414.7582 27.481765 1982-1999 –> 2000-2012 6.196586 70099.2635
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 5836 3.5684756 31422.2510 27.037264 1982-1999 –> 2000-2012 6.053853 69193.2287
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5836 3.2280103 30253.8699 9.417658 1982-1999 –> 2000-2012 5.571568 67074.4342
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 5836 3.3807244 30791.3972 22.456992 1982-1999 –> 2000-2012 5.742317 67734.2326
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + phosphate + phosphate_star 5836 3.5742757 31439.2071 27.996706 1982-1999 –> 2000-2012 6.205803 70134.4198
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5836 3.4363673 30981.9413 25.357370 1982-1999 –> 2000-2012 5.813590 68031.7039
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate_star 5836 3.6584353 31710.8495 29.513815 1982-1999 –> 2000-2012 6.169877 69648.9367
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 5836 3.6671700 31740.6838 10.814317 1982-1999 –> 2000-2012 6.279886 70321.6060
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5836 3.3691828 30753.4813 15.287781 1982-1999 –> 2000-2012 5.812132 68247.3438
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3104 4.1222456 17613.7695 17.053811 2000-2012 –> 2013-2019 7.629316 48833.4235
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate_star 3104 4.3065788 17883.3432 29.304857 2000-2012 –> 2013-2019 7.873375 49298.1014
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 3104 4.3322538 17922.2442 26.788532 2000-2012 –> 2013-2019 7.900729 49344.4952
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3104 3.7804110 17078.3721 11.020697 2000-2012 –> 2013-2019 7.008421 47332.2420
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3104 4.0989818 17578.6356 23.944569 2000-2012 –> 2013-2019 7.479706 48370.0328
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + phosphate + phosphate_star 3104 4.3404132 17931.9253 30.547742 2000-2012 –> 2013-2019 7.914689 49371.1324
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3104 4.2088784 17742.8844 27.865993 2000-2012 –> 2013-2019 7.645246 48724.8257
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 3104 4.3592145 17960.7585 14.275727 2000-2012 –> 2013-2019 8.026385 49701.4422
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3104 4.0127640 17448.6640 19.751773 2000-2012 –> 2013-2019 7.381947 48202.1453
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3104 4.3455882 17941.3227 14.630242 2000-2012 –> 2013-2019 8.006647 49662.5382
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + phosphate + phosphate_star 2317 2.7709036 11308.2111 22.832566 1982-1999 –> 2000-2012 4.724586 24397.3664
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2317 2.7304690 11242.0909 21.046900 1982-1999 –> 2000-2012 4.662358 24262.9999
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 2317 2.7697926 11308.3527 23.085715 1982-1999 –> 2000-2012 4.708540 24351.4525
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2317 2.7290365 11241.6591 21.325228 1982-1999 –> 2000-2012 4.650760 24231.5321
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate 2317 2.7795293 11322.6141 22.483935 1982-1999 –> 2000-2012 4.742598 24441.7808
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 2317 2.7408402 11259.6589 23.487260 1982-1999 –> 2000-2012 4.687996 24329.8596
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2317 2.7417874 11261.2601 20.642191 1982-1999 –> 2000-2012 4.687075 24325.4494
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2317 2.6406178 11089.0349 20.968772 1982-1999 –> 2000-2012 4.548200 24032.6569
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2317 2.7384695 11255.6490 20.449118 1982-1999 –> 2000-2012 4.689522 24338.3683
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2317 2.7373185 11253.7009 20.385504 1982-1999 –> 2000-2012 4.689757 24340.8662
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1264 3.2186888 6554.2431 28.626916 2000-2012 –> 2013-2019 5.949158 17796.3339
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 1264 3.1716141 6516.9969 31.692509 2000-2012 –> 2013-2019 5.941407 17825.3496
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1264 3.1874884 6529.6183 29.149027 2000-2012 –> 2013-2019 5.940246 17809.3821
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1264 3.1693826 6517.2176 30.950746 2000-2012 –> 2013-2019 5.898419 17758.8767
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 1264 3.1779674 6522.0559 29.072248 2000-2012 –> 2013-2019 5.916047 17777.0445
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1264 3.1768073 6521.1329 29.025171 2000-2012 –> 2013-2019 5.911793 17770.8822
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate_star 1264 3.1799375 6521.6226 29.845922 2000-2012 –> 2013-2019 5.933455 17800.6665
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 1264 3.1128492 6469.7178 31.766441 2000-2012 –> 2013-2019 5.853689 17729.3767
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1264 3.0665742 6433.8549 28.861392 2000-2012 –> 2013-2019 5.707192 17522.8898
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1264 3.2403449 6571.1951 27.030880 2000-2012 –> 2013-2019 5.977663 17824.8960
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 2907 2.7949495 14235.4194 33.549633 1982-1999 –> 2000-2012 4.955409 31803.2814
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2907 2.7916993 14230.6545 33.332942 1982-1999 –> 2000-2012 4.935430 31738.1725
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2907 2.7913452 14231.9170 33.450567 1982-1999 –> 2000-2012 4.933683 31736.2227
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 2907 2.7938709 14235.1753 33.889830 1982-1999 –> 2000-2012 4.953379 31801.5053
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate_star 2907 2.7966638 14238.9845 33.256983 1982-1999 –> 2000-2012 4.956213 31803.4650
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 2907 2.7953002 14238.1489 33.042313 1982-1999 –> 2000-2012 4.942185 31757.4596
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2907 2.7856872 14220.1201 34.100919 1982-1999 –> 2000-2012 4.926975 31720.4944
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 2907 2.7945654 14236.6204 33.041333 1982-1999 –> 2000-2012 4.942281 31759.0352
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + phosphate + phosphate_star 2907 2.7969089 14239.4940 33.225970 1982-1999 –> 2000-2012 4.956548 31804.3068
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2907 2.7948101 14237.1294 33.015412 1982-1999 –> 2000-2012 4.942986 31761.2604
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 1542 3.3195387 8086.2692 35.090356 2000-2012 –> 2013-2019 6.114488 22321.6887
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1542 3.3126052 8081.8211 35.442498 2000-2012 –> 2013-2019 6.104304 22312.4755
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 1542 3.3135799 8082.7283 35.646015 2000-2012 –> 2013-2019 6.108513 22320.1148
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1542 3.3089038 8080.3731 35.834119 2000-2012 –> 2013-2019 6.100249 22312.2901
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1542 3.2669990 8039.0671 37.333823 2000-2012 –> 2013-2019 6.060870 22274.2424
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate_star 1542 3.3279738 8094.0959 34.427055 2000-2012 –> 2013-2019 6.124638 22333.0804
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 1542 3.3232945 8091.7567 34.974762 2000-2012 –> 2013-2019 6.118595 22329.9055
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1542 3.2637446 8037.9935 37.426960 2000-2012 –> 2013-2019 6.049432 22258.1136
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 1542 3.3192220 8087.9751 34.929845 2000-2012 –> 2013-2019 6.113787 22324.5955
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1542 3.3201728 8088.8583 34.874578 2000-2012 –> 2013-2019 6.114983 22325.9877
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2467 2.2624239 11041.3418 8.237248 1982-1999 –> 2000-2012 4.184588 25738.2975
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 2467 2.2511588 11016.7129 7.786842 1982-1999 –> 2000-2012 4.236774 25943.8015
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2467 2.2115502 10931.1275 8.468880 1982-1999 –> 2000-2012 4.102269 25513.2034
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 2467 2.2516386 11017.7644 7.239257 1982-1999 –> 2000-2012 4.249765 25989.3641
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate 2467 2.2885543 11096.0016 7.992878 1982-1999 –> 2000-2012 4.299007 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 4.210664 25811.0912
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2467 2.1886299 10879.7253 7.878228 1982-1999 –> 2000-2012 4.064290 25405.1370
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 2467 2.2787563 11076.8322 8.277324 1982-1999 –> 2000-2012 4.213757 25820.9529
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2467 2.2789172 11077.1806 8.289996 1982-1999 –> 2000-2012 4.213832 25820.9878
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + silicate + phosphate_star 2467 2.2794555 11076.3459 8.377885 1982-1999 –> 2000-2012 4.214682 25819.2952
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1354 2.5384577 6377.1411 7.728054 2000-2012 –> 2013-2019 4.800882 17418.4829
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 1354 2.4939482 6329.2376 8.352020 2000-2012 –> 2013-2019 4.745107 17345.9505
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1354 2.4779038 6313.7598 8.329809 2000-2012 –> 2013-2019 4.689454 17244.8873
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 1354 2.4648617 6297.4690 8.721893 2000-2012 –> 2013-2019 4.716500 17315.2334
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate 1354 2.5604572 6398.5088 7.842742 2000-2012 –> 2013-2019 4.849011 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 4.835163 17471.9676
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1354 2.4266912 6257.2052 8.523746 2000-2012 –> 2013-2019 4.615321 17136.9304
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 1354 2.5567349 6396.5691 7.765420 2000-2012 –> 2013-2019 4.835491 17473.4013
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1354 2.5570958 6396.9513 7.768822 2000-2012 –> 2013-2019 4.836013 17474.1319
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + silicate + phosphate_star 1354 2.5592213 6397.2014 7.805707 2000-2012 –> 2013-2019 4.838677 17473.5473
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1718 1.8848420 7065.3607 9.810959 1982-1999 –> 2000-2012 3.584409 17034.4465
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1718 1.9503440 7182.7407 8.816710 1982-1999 –> 2000-2012 3.570913 16908.7065
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1718 1.8450332 6994.0133 9.467590 1982-1999 –> 2000-2012 3.441478 16645.3685
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 1718 1.9651527 7208.7312 9.072067 1982-1999 –> 2000-2012 3.612262 17017.6733
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1718 1.9539957 7189.1680 8.935869 1982-1999 –> 2000-2012 3.595080 16979.3910
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate_star 1718 1.9721486 7218.9416 9.184943 1982-1999 –> 2000-2012 3.624541 17042.2394
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 1718 1.8950101 7083.8471 9.849801 1982-1999 –> 2000-2012 3.603161 17078.6673
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1718 1.8032691 6915.3424 9.697645 1982-1999 –> 2000-2012 3.429878 16662.3098
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 1718 1.8965316 7086.6048 9.849135 1982-1999 –> 2000-2012 3.606850 17087.9018
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1718 1.8961482 7085.9101 9.843194 1982-1999 –> 2000-2012 3.606103 17086.1201
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 966 2.1066397 4192.9110 9.987464 2000-2012 –> 2013-2019 3.991482 11258.2717
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 966 2.1234984 4208.3107 9.501567 2000-2012 –> 2013-2019 4.073842 11391.0514
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 966 2.0390556 4131.9137 9.747515 2000-2012 –> 2013-2019 3.884089 11125.9270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 966 2.1032628 4189.8117 9.400527 2000-2012 –> 2013-2019 4.057259 11378.9797
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 966 2.1188554 4204.0818 10.037184 2000-2012 –> 2013-2019 4.013866 11287.9289
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 966 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.803398 11010.0164
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 966 2.1192706 4204.4603 10.033932 2000-2012 –> 2013-2019 4.015802 11291.0651
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate 966 2.1199344 4203.0654 10.143714 2000-2012 –> 2013-2019 4.066546 11377.2238
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 966 2.1186866 4203.9279 10.028459 2000-2012 –> 2013-2019 4.014835 11289.8379
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate_star 966 2.1380335 4219.4899 10.237607 2000-2012 –> 2013-2019 4.045323 11323.5296
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 14627 1.6310156 55832.7692 18.423930 1982-1999 –> 2000-2012 3.030668 127227.2398
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 14627 1.4320006 52025.9353 13.806990 1982-1999 –> 2000-2012 2.708801 119684.1812
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 14627 1.3378772 50039.0036 16.225048 1982-1999 –> 2000-2012 2.509014 114186.0580
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 14627 1.6503451 56177.4268 9.142205 1982-1999 –> 2000-2012 3.194364 131564.2414
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 14627 1.6072254 55402.9247 9.839246 1982-1999 –> 2000-2012 3.103039 129499.7490
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + phosphate + phosphate_star 14627 1.8021730 58752.0341 14.995564 1982-1999 –> 2000-2012 3.473976 137372.6901
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate 14627 1.6564391 56285.2493 18.364072 1982-1999 –> 2000-2012 3.077562 128298.8415
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 14627 1.3940533 51242.2624 17.034744 1982-1999 –> 2000-2012 2.634077 117713.8450
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate_star 14627 1.6670006 56471.1807 18.226788 1982-1999 –> 2000-2012 3.099984 128822.7887
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + silicate + phosphate + phosphate_star 14627 1.6697977 56520.2259 18.221976 1982-1999 –> 2000-2012 3.105173 128939.6726
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 7804 1.8640423 31878.6342 16.201195 2000-2012 –> 2013-2019 3.495058 87711.4034
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 7804 1.5693631 29192.8476 10.689506 2000-2012 –> 2013-2019 3.001364 81218.7829
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 7804 1.4923380 28409.3615 12.644005 2000-2012 –> 2013-2019 2.830215 78448.3652
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 7804 1.7461744 30859.1181 9.861265 2000-2012 –> 2013-2019 3.396520 87036.5449
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 7804 1.7050926 30487.5244 9.446823 2000-2012 –> 2013-2019 3.312318 85890.4491
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + phosphate + phosphate_star 7804 1.9422324 32519.9766 12.660653 2000-2012 –> 2013-2019 3.744405 91272.0107
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate 7804 1.8922532 32113.0803 16.180287 2000-2012 –> 2013-2019 3.548692 88398.3296
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 7804 1.5521124 29022.3323 13.774789 2000-2012 –> 2013-2019 2.946166 80264.5947
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate_star 7804 1.9004563 32180.5960 16.022465 2000-2012 –> 2013-2019 3.567457 88651.7767
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + silicate + phosphate + phosphate_star 7804 1.9035267 32205.7923 16.022427 2000-2012 –> 2013-2019 3.573324 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 3.392165 1439.8498
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 3.253706 888.0413
Atlantic (26,26.5] 1982-1999 –> 2000-2012 9.078218 15062.3357
Atlantic (26,26.5] 2000-2012 –> 2013-2019 9.087139 9477.2379
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 6.747403 17320.3751
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 7.102661 11012.4697
Atlantic (26.75,27] 1982-1999 –> 2000-2012 4.443127 24135.3463
Atlantic (26.75,27] 2000-2012 –> 2013-2019 5.285456 17159.4656
Atlantic (27,27.25] 1982-1999 –> 2000-2012 4.461745 20471.2758
Atlantic (27,27.25] 2000-2012 –> 2013-2019 5.091629 14746.7278
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 5.992571 24377.5545
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 7.197864 16713.7577
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 5.881003 32283.8885
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 6.518505 22241.8224
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 4.029915 9932.7992
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 4.499808 6847.3049
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 6.375876 11884.3426
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 7.192433 8370.1879
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 9.472021 17180.1722
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 9.010075 10980.3556
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 2.065777 5408.7849
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.309527 3872.2500
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.529319 5050.7163
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.832681 3754.8935
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.605893 9065.6775
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.787243 5934.1799
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 1.545947 14701.9120
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 1.769592 10800.9807
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 14.906868 85583.2742
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 14.313033 54955.8736
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 9.841397 79587.0080
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 9.998195 51170.5715
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 8.162468 61153.1346
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.690704 40202.3877
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2012 8.491095 73471.2454
Indo-Pacific (26.75,27] 2000-2012 –> 2013-2019 9.411959 48586.0074
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2012 8.289793 86326.8739
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 9.800313 59274.5104
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.990845 72874.1742
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 8.283392 50490.0864
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.998075 69038.0723
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 7.686646 48884.0379
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.679139 24305.2332
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.902907 17761.5698
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.944509 31768.5203
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.100986 22311.2494
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.198963 25797.1310
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.776162 17384.9043
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.567468 16954.2824
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.996644 11273.3831
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 2.993666 126330.9307
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 3.341552 85761.8276

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 (aic) 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
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
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
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
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
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
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
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
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 phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 9 7 6 8 6 2
(26,26.5] 8 7 7 3 10 5
(26.5,26.75] 8 8 7 5 9 4
(26.75,27] 8 8 8 5 9 4
(27,27.25] 8 8 8 5 9 4
(27.25,27.5] 9 9 7 4 7 5
(27.5,27.75] 8 8 7 4 8 5
(27.75,27.85] 10 9 7 4 6 4
(27.85,27.95] 8 10 8 2 5 6
(27.95,28.05] 8 8 8 2 6 7
(28.05,28.1] 8 10 8 2 5 6
(28.1,28.15] 9 9 8 2 6 6
(28.15,28.2] 9 9 7 3 8 5
(28.2, Inf] 8 8 7 4 10 4
total 118.00 118.00 103.00 53.00 104.00 67.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 9 7 6 8 6 2
(26,26.5] 7 8 6 2 10 6
(26.5,26.75] 8 8 7 5 9 4
(26.75,27] 8 8 8 5 9 4
(27,27.25] 7 7 8 5 10 4
(27.25,27.5] 8 8 7 7 8 2
(27.5,27.75] 7 7 8 9 6 1
(27.75,27.85] 8 8 7 7 8 2
(27.85,27.95] 8 10 8 2 5 6
(27.95,28.05] 8 9 8 2 6 7
(28.05,28.1] 9 10 7 3 6 5
(28.1,28.15] 8 10 8 2 5 6
(28.15,28.2] 8 9 8 4 8 5
(28.2, Inf] 8 8 8 4 9 5
total 111.00 117.00 104.00 65.00 105.00 59.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 8 8 9 2 6 7
(26,26.5] 8 8 9 2 6 7
(26.5,26.75] 8 8 9 2 7 6
(26.75,27] 8 10 8 2 5 6
(27,27.25] 9 9 8 3 7 5
(27.25,27.5] 8 8 7 4 10 4
(27.5,27.75] 7 7 8 8 7 2
(27.75,27.85] 9 9 8 2 6 6
(27.85,27.95] 8 8 9 1 6 7
(27.95,28.05] 8 7 8 2 8 7
(28.05,28.1] 7 7 8 5 10 4
(28.1, Inf] 8 8 8 4 9 5
total 96.00 97.00 99.00 37.00 87.00 66.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 8 9 2 7 7
(26,26.5] 8 8 8 2 7 7
(26.5,26.75] 8 8 9 2 7 6
(26.75,27] 8 10 8 2 5 6
(27,27.25] 9 9 8 3 7 5
(27.25,27.5] 7 9 7 4 10 3
(27.5,27.75] 7 8 8 7 7 3
(27.75,27.85] 7 8 9 6 8 3
(27.85,27.95] 9 8 9 2 6 6
(27.95,28.05] 8 7 8 2 8 7
(28.05,28.1] 6 8 7 3 10 6
(28.1, Inf] 8 8 8 4 9 5
total 92.00 99.00 98.00 39.00 91.00 64.00

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
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
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
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
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