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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

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


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

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

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

3 Apply predictor threshold

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

  • Minimum: 3
  • Maximum: 9
lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

  • 45

4 Fit all models

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

  • cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou 158 1.1879855 512.8184 4.100517 1982-1999 –> 2000-2012 2.5833594 1251.6924
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate 158 1.1706104 510.1626 4.603740 1982-1999 –> 2000-2012 2.5357234 1241.9157
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 158 1.0906231 489.7973 3.058720 1982-1999 –> 2000-2012 2.4486588 1221.3881
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + phosphate 158 1.0492038 475.5626 4.357844 1982-1999 –> 2000-2012 2.3855522 1198.4564
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + silicate 158 1.1425173 502.4865 4.498332 1982-1999 –> 2000-2012 2.5017736 1232.4510
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 158 1.0480832 477.2249 4.299021 1982-1999 –> 2000-2012 2.3837757 1201.9145
Atlantic (-Inf,26] cstar_tref ~ temp + oxygen + aou + nitrate 158 1.4674855 581.5865 7.034350 1982-1999 –> 2000-2012 3.1280968 1394.8542
Atlantic (-Inf,26] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 158 1.4489201 579.5632 6.406221 1982-1999 –> 2000-2012 3.1051682 1393.7365
Atlantic (-Inf,26] cstar_tref ~ temp + oxygen + aou + phosphate 158 1.4654213 581.1417 7.417048 1982-1999 –> 2000-2012 3.1276914 1394.8248
Atlantic (-Inf,26] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 158 1.4545749 580.7941 7.074044 1982-1999 –> 2000-2012 3.1160634 1396.2815
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou 72 1.3583394 258.4290 3.151384 2000-2012 –> 2013-2019 2.5463249 771.2474
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate 72 1.3582833 260.4231 3.125548 2000-2012 –> 2013-2019 2.5288937 770.5856
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 72 1.2189133 246.8334 2.749161 2000-2012 –> 2013-2019 2.3095364 736.6307
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + phosphate 72 1.2725075 251.0296 3.658367 2000-2012 –> 2013-2019 2.3217113 726.5922
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + silicate 72 1.3534417 259.9089 3.315667 2000-2012 –> 2013-2019 2.4959590 762.3954
Atlantic (-Inf,26] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 72 1.1936365 243.8158 3.237974 2000-2012 –> 2013-2019 2.2417197 721.0407
Atlantic (-Inf,26] cstar_tref ~ temp + oxygen + aou + nitrate 72 1.5636873 280.7019 4.875641 2000-2012 –> 2013-2019 3.0311728 862.2884
Atlantic (-Inf,26] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 72 1.4190547 268.7258 4.139021 2000-2012 –> 2013-2019 2.8679748 848.2891
Atlantic (-Inf,26] cstar_tref ~ temp + oxygen + aou + phosphate 72 1.5761474 281.8448 5.713265 2000-2012 –> 2013-2019 3.0415687 862.9865
Atlantic (-Inf,26] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 72 1.5044066 277.1365 5.003414 2000-2012 –> 2013-2019 2.9589816 857.9306
Atlantic (26,26.5] cstar_tref ~ oxygen + aou + nitrate + silicate 1046 4.0955149 5929.9144 14.565682 1982-1999 –> 2000-2012 8.2372722 14604.0934
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate 1046 3.4218572 5553.9632 15.216826 1982-1999 –> 2000-2012 6.8164196 13621.3590
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1046 3.2403045 5441.9154 14.502344 1982-1999 –> 2000-2012 6.4880149 13376.4262
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + silicate 1046 4.0265160 5894.3693 17.714511 1982-1999 –> 2000-2012 8.0373760 14470.5991
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1046 3.5518213 5633.9468 13.477555 1982-1999 –> 2000-2012 6.9985663 13749.8718
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 1046 4.0405761 5901.6616 14.579174 1982-1999 –> 2000-2012 8.1249524 14533.2897
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + aou + nitrate 1046 4.0835489 5923.7932 14.655482 1982-1999 –> 2000-2012 8.1999001 14579.2055
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1046 3.9168374 5838.5947 13.396328 1982-1999 –> 2000-2012 7.8831433 14382.7544
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1046 4.2948916 6031.3553 13.012884 1982-1999 –> 2000-2012 8.5299909 14775.5085
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate 1046 3.9974267 5879.2009 14.350644 1982-1999 –> 2000-2012 8.0360096 14476.4398
Atlantic (26,26.5] cstar_tref ~ oxygen + aou + nitrate + silicate 567 3.9589011 3181.4223 13.975025 2000-2012 –> 2013-2019 8.0544159 9111.3367
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate 567 3.3273375 2984.3398 11.580836 2000-2012 –> 2013-2019 6.7491946 8538.3030
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 567 3.0857248 2900.8523 9.468161 2000-2012 –> 2013-2019 6.3260293 8342.7677
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + silicate 567 3.9932527 3191.2196 12.403352 2000-2012 –> 2013-2019 8.0197687 9085.5890
Atlantic (26,26.5] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 567 3.6070302 3077.8676 10.902628 2000-2012 –> 2013-2019 7.1588515 8711.8144
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 567 3.8959809 3163.2545 13.662757 2000-2012 –> 2013-2019 7.9365570 9064.9161
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + aou + nitrate 567 3.9079412 3166.7304 10.843538 2000-2012 –> 2013-2019 7.9914900 9090.5236
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 567 3.7664669 3126.9161 12.216566 2000-2012 –> 2013-2019 7.6833043 8965.5108
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 567 4.2189568 3255.5690 10.763473 2000-2012 –> 2013-2019 8.5138484 9286.9243
Atlantic (26,26.5] cstar_tref ~ temp + oxygen + nitrate + silicate 567 3.8537522 3150.8959 13.395954 2000-2012 –> 2013-2019 7.8511788 9030.0968
Atlantic (26.5,26.75] cstar_tref ~ oxygen + aou + silicate + phosphate 1397 3.3429532 7348.4661 10.697715 1982-1999 –> 2000-2012 6.4415667 17034.7612
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + phosphate 1397 4.4696102 8157.9738 13.289697 1982-1999 –> 2000-2012 8.3423693 18688.3782
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 1397 3.3316510 7339.0038 10.073920 1982-1999 –> 2000-2012 6.4785991 17084.0238
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + aou + phosphate 1397 4.4693685 8159.8227 13.177731 1982-1999 –> 2000-2012 8.3386072 18688.7767
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1397 3.2700730 7288.8799 10.507891 1982-1999 –> 2000-2012 6.3292231 16928.5449
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + phosphate 1397 4.5494314 8207.4306 15.152424 1982-1999 –> 2000-2012 8.5454968 18856.7504
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate 1397 3.5707269 7532.6314 10.111585 1982-1999 –> 2000-2012 6.9903542 17592.9269
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 1397 3.4027533 7398.0044 10.818893 1982-1999 –> 2000-2012 6.5639402 17160.1523
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1397 3.2249399 7250.0489 10.037456 1982-1999 –> 2000-2012 6.2079736 16794.1190
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 1397 3.4413502 7429.5180 10.920943 1982-1999 –> 2000-2012 6.6456964 17243.1144
Atlantic (26.5,26.75] cstar_tref ~ oxygen + aou + silicate + phosphate 656 3.4323365 3491.6598 11.340269 2000-2012 –> 2013-2019 6.7752897 10840.1259
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 656 3.3850399 3473.4551 10.375376 2000-2012 –> 2013-2019 6.7166909 10812.4589
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + aou + nitrate 656 4.0569529 3711.0144 15.360513 2000-2012 –> 2013-2019 8.7888713 12030.3286
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 656 4.0321444 3704.9668 16.170163 2000-2012 –> 2013-2019 8.7589468 12023.2586
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 656 3.3455096 3460.0435 10.735554 2000-2012 –> 2013-2019 6.6155826 10748.9234
Atlantic (26.5,26.75] cstar_tref ~ sal + oxygen + silicate + phosphate 656 3.5841303 3548.4361 11.020116 2000-2012 –> 2013-2019 7.1548572 11081.0675
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 656 3.4910702 3513.9207 11.381386 2000-2012 –> 2013-2019 6.8938235 10911.9252
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 656 4.2145074 3763.0023 16.745534 2000-2012 –> 2013-2019 9.0913552 12168.6070
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 656 3.3238240 3451.5114 11.113656 2000-2012 –> 2013-2019 6.5487639 10701.5603
Atlantic (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 656 3.5288346 3528.0369 11.412513 2000-2012 –> 2013-2019 6.9701847 10957.5549
Atlantic (26.75,27] cstar_tref ~ oxygen + aou + silicate + phosphate 2398 2.0935628 10360.8368 14.739529 1982-1999 –> 2000-2012 3.7661002 22513.8376
Atlantic (26.75,27] cstar_tref ~ sal + aou + phosphate 2398 4.1540169 13645.0967 16.648979 1982-1999 –> 2000-2012 7.4484953 30053.3473
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2398 2.1776482 10549.6945 20.348896 1982-1999 –> 2000-2012 4.1329846 23683.7595
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + aou + phosphate 2398 4.1277526 13616.6771 27.610204 1982-1999 –> 2000-2012 7.4206342 30023.8830
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2398 2.0001820 10143.9994 14.081577 1982-1999 –> 2000-2012 3.6531709 22225.1681
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + phosphate 2398 4.1400806 13628.9796 35.392214 1982-1999 –> 2000-2012 7.4916362 30145.1000
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + silicate + phosphate 2398 2.5470452 11301.1723 39.382843 1982-1999 –> 2000-2012 4.9052728 25611.7832
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2398 2.2004206 10599.5875 15.280820 1982-1999 –> 2000-2012 3.9880121 23170.3800
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2398 2.0860637 10345.6268 19.975942 1982-1999 –> 2000-2012 3.5995129 21872.9381
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 2398 2.3001008 10812.0716 20.719299 1982-1999 –> 2000-2012 4.1580260 23625.2168
Atlantic (26.75,27] cstar_tref ~ oxygen + aou + nitrate + silicate 1263 3.8443079 6997.7341 32.492434 2000-2012 –> 2013-2019 7.9222492 20556.1839
Atlantic (26.75,27] cstar_tref ~ oxygen + aou + silicate + phosphate 1263 2.6364762 6045.0524 27.471250 2000-2012 –> 2013-2019 4.7300390 16405.8891
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 1263 2.5846959 5994.9482 24.744636 2000-2012 –> 2013-2019 4.7623441 16544.6427
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1263 3.8338958 6992.8833 33.176394 2000-2012 –> 2013-2019 7.8425007 20471.0865
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1263 2.5330762 5945.9902 25.891764 2000-2012 –> 2013-2019 4.5332582 16089.9896
Atlantic (26.75,27] cstar_tref ~ sal + oxygen + silicate + phosphate 1263 2.7359170 6138.5735 23.435321 2000-2012 –> 2013-2019 5.2829621 17439.7458
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 1263 2.7633578 6163.7827 28.240304 2000-2012 –> 2013-2019 4.9637784 16763.3702
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1263 3.5814915 6820.8573 28.387939 2000-2012 –> 2013-2019 7.5688531 20273.5768
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1263 2.2552518 5652.5376 22.583567 2000-2012 –> 2013-2019 4.3413155 15998.1644
Atlantic (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 1263 2.8252828 6219.7637 28.536665 2000-2012 –> 2013-2019 5.1253837 17031.8354
Atlantic (27,27.25] cstar_tref ~ oxygen + aou + nitrate + silicate 2031 2.1642877 8911.9632 18.068300 1982-1999 –> 2000-2012 4.6252995 21036.4502
Atlantic (27,27.25] cstar_tref ~ oxygen + aou + silicate + phosphate 2031 2.4661377 9442.3058 11.932474 1982-1999 –> 2000-2012 4.5803997 20773.7445
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2031 1.9148200 8414.4995 9.235730 1982-1999 –> 2000-2012 3.6311952 18657.1971
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2031 2.1636035 8912.6788 18.000241 1982-1999 –> 2000-2012 4.5784228 20940.2188
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2031 1.8904789 8364.5325 9.689213 1982-1999 –> 2000-2012 3.4604645 18143.6984
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate 2031 2.1910052 8961.8003 9.938424 1982-1999 –> 2000-2012 4.5832775 20938.3539
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 2031 2.2101756 8997.1867 17.699573 1982-1999 –> 2000-2012 4.6252898 21023.3644
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 2031 2.5774029 9621.5579 12.121441 1982-1999 –> 2000-2012 4.6642462 20884.8324
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 2031 2.1361537 8860.8143 19.766552 1982-1999 –> 2000-2012 4.5508718 20888.1353
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2031 2.3112875 9180.8912 13.899054 1982-1999 –> 2000-2012 4.3877097 20420.0232
Atlantic (27,27.25] cstar_tref ~ oxygen + aou + nitrate + silicate 1142 2.4671081 5315.4141 24.853269 2000-2012 –> 2013-2019 4.6313958 14227.3773
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 1142 2.5949142 5430.7717 26.110705 2000-2012 –> 2013-2019 5.2008719 15097.0846
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1142 2.3003827 5155.6000 13.777336 2000-2012 –> 2013-2019 4.2152027 13570.0995
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1142 2.4084033 5262.4094 25.460964 2000-2012 –> 2013-2019 4.5720067 14175.0881
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1142 2.2946948 5151.9457 14.080782 2000-2012 –> 2013-2019 4.1851737 13516.4782
Atlantic (27,27.25] cstar_tref ~ sal + oxygen + silicate + phosphate 1142 2.3613801 5215.3740 15.167463 2000-2012 –> 2013-2019 4.5523853 14177.1744
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 1142 2.5482980 5389.3678 24.568652 2000-2012 –> 2013-2019 4.7584736 14386.5545
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1142 2.3494036 5205.7605 25.572670 2000-2012 –> 2013-2019 4.4855574 14066.5748
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1142 2.8129211 5617.0221 14.119428 2000-2012 –> 2013-2019 5.1242086 14797.9132
Atlantic (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate 1142 2.6080258 5442.2833 24.208933 2000-2012 –> 2013-2019 4.8614181 14518.1297
Atlantic (27.25,27.5] cstar_tref ~ oxygen + aou + nitrate + silicate 2025 2.3651358 9245.0847 20.636729 1982-1999 –> 2000-2012 4.0217372 20329.9401
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 2025 2.5285742 9515.7061 13.358360 1982-1999 –> 2000-2012 5.1450783 23231.4624
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 2025 2.7655192 9878.4761 23.145713 1982-1999 –> 2000-2012 5.3049716 23422.1817
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + aou + nitrate 2025 3.0600684 10288.3721 21.794030 1982-1999 –> 2000-2012 5.4447217 23470.0555
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2025 2.1403141 8842.5591 17.909272 1982-1999 –> 2000-2012 3.7787585 19865.9783
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2025 2.6905754 9769.2091 21.422922 1982-1999 –> 2000-2012 4.8576234 22402.1133
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2025 2.4063497 9315.0504 11.614926 1982-1999 –> 2000-2012 4.1264292 20616.3452
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate 2025 3.1195335 10366.3192 28.813060 1982-1999 –> 2000-2012 5.4561296 23430.8188
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 2025 2.3638566 9244.8934 19.365747 1982-1999 –> 2000-2012 4.0204499 20331.7212
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate 2025 2.4916281 9456.0932 10.104738 1982-1999 –> 2000-2012 4.3239984 21121.3969
Atlantic (27.25,27.5] cstar_tref ~ oxygen + aou + nitrate + silicate 1109 3.0265451 5615.4671 18.380638 2000-2012 –> 2013-2019 5.3916809 14860.5517
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 1109 3.0025580 5597.8181 16.245244 2000-2012 –> 2013-2019 5.5311321 15113.5242
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 1109 3.5932118 5996.1307 25.833019 2000-2012 –> 2013-2019 6.3587310 15874.6067
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + aou + nitrate 1109 3.6193828 6012.2269 21.437489 2000-2012 –> 2013-2019 6.6794512 16300.5989
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1109 2.7818295 5430.4610 17.251552 2000-2012 –> 2013-2019 4.9221436 14273.0201
Atlantic (27.25,27.5] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1109 3.5374046 5963.4120 24.085736 2000-2012 –> 2013-2019 6.2279800 15732.6211
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 1109 3.1081847 5674.5038 12.222568 2000-2012 –> 2013-2019 5.5145344 14989.5543
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate 1109 3.6861775 6052.7863 29.938833 2000-2012 –> 2013-2019 6.8057111 16419.1055
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1109 3.0212838 5613.6080 21.097746 2000-2012 –> 2013-2019 5.3851403 14858.5014
Atlantic (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate 1109 3.2001964 5739.2103 12.589120 2000-2012 –> 2013-2019 5.6918245 15195.3035
Atlantic (27.5,27.75] cstar_tref ~ oxygen + aou + nitrate + silicate 2804 3.1760771 14450.2747 15.878167 1982-1999 –> 2000-2012 5.6419738 31799.1923
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 2804 2.8268767 13797.0865 15.595608 1982-1999 –> 2000-2012 5.6266381 32094.2808
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 2804 2.7836924 13708.7557 13.816311 1982-1999 –> 2000-2012 5.2587422 31083.3422
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2804 2.4538915 13003.5694 13.901382 1982-1999 –> 2000-2012 4.8210764 30047.3887
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2804 2.6529491 13442.9752 15.609663 1982-1999 –> 2000-2012 4.9658543 30315.5590
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + aou + phosphate 2804 2.7656318 13674.2524 14.269310 1982-1999 –> 2000-2012 5.0314996 30391.3946
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2804 2.3944064 12867.9502 14.685866 1982-1999 –> 2000-2012 4.4949743 29021.3907
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 2804 3.1926743 14479.5041 16.493618 1982-1999 –> 2000-2012 5.5799379 31586.4005
Atlantic (27.5,27.75] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 2804 3.1720005 14445.0720 16.068424 1982-1999 –> 2000-2012 5.5561111 31544.0985
Atlantic (27.5,27.75] cstar_tref ~ temp + oxygen + nitrate + silicate 2804 3.2454298 14571.4129 16.872661 1982-1999 –> 2000-2012 5.6444387 31714.9618
Atlantic (27.5,27.75] cstar_tref ~ oxygen + aou + nitrate + silicate 1515 4.0149703 8523.1745 17.714305 2000-2012 –> 2013-2019 7.1910474 22973.4492
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 1515 3.2789491 7909.5783 16.534959 2000-2012 –> 2013-2019 6.1058258 21706.6649
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 1515 3.4259760 8040.4845 14.371977 2000-2012 –> 2013-2019 6.2096684 21749.2402
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 1515 2.8745087 7510.7055 15.545879 2000-2012 –> 2013-2019 5.3284002 20514.2749
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1515 3.2383103 7873.7903 16.743129 2000-2012 –> 2013-2019 5.8912594 21316.7655
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + aou + phosphate 1515 3.4234258 8040.2283 14.171915 2000-2012 –> 2013-2019 6.1890576 21714.4806
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1515 2.8711798 7509.1946 15.461950 2000-2012 –> 2013-2019 5.2655862 20377.1448
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + phosphate 1515 3.7058316 8278.4041 14.544521 2000-2012 –> 2013-2019 7.1142988 23122.6925
Atlantic (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate 1515 3.2671643 7898.6687 16.135848 2000-2012 –> 2013-2019 6.4589075 22376.5370
Atlantic (27.5,27.75] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1515 4.0134460 8524.0240 17.835129 2000-2012 –> 2013-2019 7.1854466 22969.0960
Atlantic (27.75,27.85] cstar_tref ~ oxygen + aou + nitrate + silicate 1036 2.2514122 4633.5881 15.711556 1982-1999 –> 2000-2012 4.2095611 10165.6648
Atlantic (27.75,27.85] cstar_tref ~ oxygen + aou + silicate + phosphate 1036 2.2930064 4671.5184 15.409426 1982-1999 –> 2000-2012 4.2141877 10153.2785
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 1036 1.9259602 4310.0805 13.267819 1982-1999 –> 2000-2012 3.9306085 9904.1154
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate 1036 2.2757763 4653.8902 11.420567 1982-1999 –> 2000-2012 4.2495639 10204.9673
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1036 1.7389083 4098.3902 12.226980 1982-1999 –> 2000-2012 3.5475856 9420.8408
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1036 1.7273097 4086.5235 13.948521 1982-1999 –> 2000-2012 3.5012674 9359.8037
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + phosphate 1036 1.9943230 4382.3519 12.367472 1982-1999 –> 2000-2012 3.6776199 9515.1410
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1036 1.5641536 3880.9392 12.798383 1982-1999 –> 2000-2012 3.1611985 8876.8661
Atlantic (27.75,27.85] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1036 2.2311584 4616.8640 15.333704 1982-1999 –> 2000-2012 4.1332510 10074.2619
Atlantic (27.75,27.85] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1036 2.2923345 4672.9112 15.392219 1982-1999 –> 2000-2012 4.1974560 10134.5099
Atlantic (27.75,27.85] cstar_tref ~ oxygen + aou + nitrate + silicate 513 2.6536042 2469.1236 15.046351 2000-2012 –> 2013-2019 4.9050164 7102.7118
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 513 2.0314562 2195.0114 12.644220 2000-2012 –> 2013-2019 3.9574164 6505.0919
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 513 1.8570079 2102.8906 11.721525 2000-2012 –> 2013-2019 3.5959162 6201.2808
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 513 1.9143319 2136.0832 13.023957 2000-2012 –> 2013-2019 3.6416416 6222.6067
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + phosphate 513 2.4147179 2372.3345 11.388027 2000-2012 –> 2013-2019 4.4090409 6754.6864
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 513 1.7475521 2042.5606 12.039326 2000-2012 –> 2013-2019 3.3117057 5923.4997
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + silicate 513 2.4571327 2390.1999 12.434941 2000-2012 –> 2013-2019 4.9482343 7233.4068
Atlantic (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate 513 2.2850958 2315.7255 11.564796 2000-2012 –> 2013-2019 4.5875235 6995.7397
Atlantic (27.75,27.85] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 513 2.6070974 2452.9826 14.601778 2000-2012 –> 2013-2019 4.8382558 7069.8466
Atlantic (27.75,27.85] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 513 2.6632845 2474.8596 14.123109 2000-2012 –> 2013-2019 4.9556190 7147.7708
Atlantic (27.85,27.95] cstar_tref ~ oxygen + aou + nitrate + silicate 983 3.4917489 5259.9249 36.676436 1982-1999 –> 2000-2012 6.4721241 11981.2842
Atlantic (27.85,27.95] cstar_tref ~ oxygen + aou + phosphate 983 3.4444208 5231.0950 40.406696 1982-1999 –> 2000-2012 6.3613830 11892.9889
Atlantic (27.85,27.95] cstar_tref ~ oxygen + aou + silicate + phosphate 983 3.4332878 5226.7302 38.381356 1982-1999 –> 2000-2012 6.3108859 11854.3203
Atlantic (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 983 3.4852740 5258.2759 32.297312 1982-1999 –> 2000-2012 6.3575392 11882.9095
Atlantic (27.85,27.95] cstar_tref ~ sal + oxygen + aou + phosphate 983 3.4396213 5230.3536 36.781212 1982-1999 –> 2000-2012 6.1696286 11717.2584
Atlantic (27.85,27.95] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 983 3.4272905 5225.2930 34.214054 1982-1999 –> 2000-2012 6.1571686 11714.0714
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate 983 3.2044937 5091.1466 24.531805 1982-1999 –> 2000-2012 6.1439976 11775.6097
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 983 3.1242794 5043.3076 23.896808 1982-1999 –> 2000-2012 6.0587702 11725.2100
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + phosphate 983 3.0946626 5022.5819 23.332862 1982-1999 –> 2000-2012 6.0114682 11686.3324
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 983 3.0757549 5012.5332 23.130965 1982-1999 –> 2000-2012 5.9400103 11629.7050
Atlantic (27.85,27.95] cstar_tref ~ oxygen + aou + nitrate + silicate 569 3.8438409 3159.0373 24.073437 2000-2012 –> 2013-2019 7.3355898 8418.9622
Atlantic (27.85,27.95] cstar_tref ~ oxygen + aou + phosphate 569 3.7400627 3125.8905 23.720140 2000-2012 –> 2013-2019 7.1844835 8356.9855
Atlantic (27.85,27.95] cstar_tref ~ oxygen + aou + silicate + phosphate 569 3.7372699 3127.0405 23.268863 2000-2012 –> 2013-2019 7.1705577 8353.7707
Atlantic (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 569 3.4731685 3045.6386 28.846185 2000-2012 –> 2013-2019 6.9584425 8303.9145
Atlantic (27.85,27.95] cstar_tref ~ sal + oxygen + aou + phosphate 569 3.4103854 3022.8793 30.447244 2000-2012 –> 2013-2019 6.8500067 8253.2329
Atlantic (27.85,27.95] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 569 3.3215129 2994.8304 29.207068 2000-2012 –> 2013-2019 6.7488034 8220.1234
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate 569 3.7321006 3125.4653 24.129848 2000-2012 –> 2013-2019 6.9365944 8216.6119
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 569 3.7152886 3122.3274 23.368908 2000-2012 –> 2013-2019 6.8395680 8165.6349
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + phosphate 569 3.6730463 3107.3144 22.693963 2000-2012 –> 2013-2019 6.7677089 8129.8962
Atlantic (27.85,27.95] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 569 3.6600265 3105.2733 23.151675 2000-2012 –> 2013-2019 6.7357814 8117.8065
Atlantic (27.95,28.05] cstar_tref ~ oxygen + aou + phosphate 1204 4.6524323 7128.8395 26.079028 1982-1999 –> 2000-2012 9.5955147 17251.5809
Atlantic (27.95,28.05] cstar_tref ~ oxygen + aou + silicate + phosphate 1204 4.6141408 7110.9386 25.515496 1982-1999 –> 2000-2012 9.5208569 17210.9282
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + aou + phosphate 1204 4.6143746 7111.0606 26.067945 1982-1999 –> 2000-2012 9.4462340 17159.5181
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1204 4.5430532 7075.5511 25.262696 1982-1999 –> 2000-2012 9.2883301 17065.3992
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate 1204 4.6394934 7122.1333 25.502387 1982-1999 –> 2000-2012 9.5768098 17240.9624
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 1204 4.5804981 7093.3170 24.656039 1982-1999 –> 2000-2012 9.4650221 17178.1118
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + aou + phosphate 1204 4.6354269 7122.0217 25.001956 1982-1999 –> 2000-2012 9.5723411 17242.5778
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1204 4.5224648 7064.6136 21.845213 1982-1999 –> 2000-2012 9.3768338 17130.6504
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + phosphate 1204 4.6374938 7121.0952 25.354382 1982-1999 –> 2000-2012 9.5744080 17239.6512
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 1204 4.5725557 7089.1381 24.432332 1982-1999 –> 2000-2012 9.4509550 17169.7271
Atlantic (27.95,28.05] cstar_tref ~ oxygen + aou + phosphate 666 4.4571859 3890.7236 24.824993 2000-2012 –> 2013-2019 9.1096183 11019.5631
Atlantic (27.95,28.05] cstar_tref ~ oxygen + aou + silicate + phosphate 666 4.4357083 3886.2896 24.809832 2000-2012 –> 2013-2019 9.0498492 10997.2283
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + aou + phosphate 666 4.3483289 3859.7886 24.917815 2000-2012 –> 2013-2019 8.9627036 10970.8492
Atlantic (27.95,28.05] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 666 4.2792874 3840.4697 24.913097 2000-2012 –> 2013-2019 8.8223406 10916.0208
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate 666 4.4656542 3893.2519 24.206850 2000-2012 –> 2013-2019 9.1051476 11015.3851
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 666 4.4296661 3884.4740 24.087584 2000-2012 –> 2013-2019 9.0101642 10977.7910
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + aou + phosphate 666 4.4563090 3892.4615 25.112416 2000-2012 –> 2013-2019 9.0917360 11014.4832
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 666 4.4290548 3886.2901 23.783433 2000-2012 –> 2013-2019 8.9515196 10950.9038
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + phosphate 666 4.4690013 3894.2499 24.065812 2000-2012 –> 2013-2019 9.1064951 11015.3451
Atlantic (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 666 4.4291749 3884.3263 23.917524 2000-2012 –> 2013-2019 9.0017306 10973.4643
Atlantic (28.05,28.1] cstar_tref ~ oxygen + aou + phosphate 804 1.1608853 2531.5393 11.005507 1982-1999 –> 2000-2012 2.1206840 5506.7947
Atlantic (28.05,28.1] cstar_tref ~ oxygen + aou + silicate + phosphate 804 1.1604167 2532.8901 10.979649 1982-1999 –> 2000-2012 2.1134849 5495.0017
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 804 1.0687687 2402.5968 6.851928 1982-1999 –> 2000-2012 2.0019996 5321.4438
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + aou + phosphate 804 1.0598757 2387.1610 7.838670 1982-1999 –> 2000-2012 1.9527650 5208.9110
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 804 1.0324411 2346.9902 6.945256 1982-1999 –> 2000-2012 1.9247967 5169.4535
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 804 1.1772969 2556.1127 10.971289 1982-1999 –> 2000-2012 2.1453194 5551.7285
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + nitrate 804 1.0485960 2369.9561 11.417078 1982-1999 –> 2000-2012 1.9086717 5111.1305
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 804 1.0427980 2363.0404 11.693571 1982-1999 –> 2000-2012 1.8850579 5061.1694
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + phosphate 804 1.1065403 2456.4443 11.331523 1982-1999 –> 2000-2012 2.0473492 5390.6954
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 804 1.0436142 2364.2985 12.188672 1982-1999 –> 2000-2012 1.8828911 5054.7923
Atlantic (28.05,28.1] cstar_tref ~ oxygen + aou + nitrate + silicate 434 1.2251646 1419.9079 11.761314 2000-2012 –> 2013-2019 2.3981040 3970.0578
Atlantic (28.05,28.1] cstar_tref ~ oxygen + aou + phosphate 434 1.2192680 1413.7202 12.282594 2000-2012 –> 2013-2019 2.3801533 3945.2595
Atlantic (28.05,28.1] cstar_tref ~ oxygen + aou + silicate + phosphate 434 1.2132881 1411.4526 12.215619 2000-2012 –> 2013-2019 2.3737048 3944.3427
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 434 1.0941551 1323.7435 7.342985 2000-2012 –> 2013-2019 2.1629239 3726.3403
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + aou + phosphate 434 1.1212849 1343.0032 8.929761 2000-2012 –> 2013-2019 2.1811606 3730.1642
Atlantic (28.05,28.1] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 434 1.0586072 1295.0748 7.429722 2000-2012 –> 2013-2019 2.0910483 3642.0650
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + nitrate 434 1.0996135 1326.0629 13.000934 2000-2012 –> 2013-2019 2.1482095 3696.0190
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 434 1.0979112 1326.7180 13.163493 2000-2012 –> 2013-2019 2.1407092 3689.7585
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + phosphate 434 1.1480057 1363.4454 12.833810 2000-2012 –> 2013-2019 2.2545460 3819.8898
Atlantic (28.05,28.1] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 434 1.1075442 1334.3006 13.578379 2000-2012 –> 2013-2019 2.1511584 3698.5991
Atlantic (28.1,28.15] cstar_tref ~ oxygen + aou + silicate + phosphate 936 0.8652007 2397.1990 9.973159 1982-1999 –> 2000-2012 1.5501093 5104.0130
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + nitrate 936 0.8533881 2371.4644 6.874934 1982-1999 –> 2000-2012 1.5501033 5122.5448
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 936 0.7873584 2222.7106 6.495513 1982-1999 –> 2000-2012 1.4434890 4820.3475
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + phosphate 936 0.7732900 2186.9596 6.039973 1982-1999 –> 2000-2012 1.4451653 4844.0128
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 936 0.7598609 2156.1646 5.927820 1982-1999 –> 2000-2012 1.3893138 4646.2932
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 936 0.8783084 2425.3470 10.051818 1982-1999 –> 2000-2012 1.5766996 5182.6502
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + nitrate 936 0.8037207 2259.2145 10.761459 1982-1999 –> 2000-2012 1.4062931 4634.3073
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 936 0.7987682 2249.6435 10.877044 1982-1999 –> 2000-2012 1.3708704 4492.3408
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + phosphate 936 0.8570872 2379.5613 9.929510 1982-1999 –> 2000-2012 1.5754781 5209.9919
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 936 0.7856962 2218.7544 10.025704 1982-1999 –> 2000-2012 1.3744859 4535.9182
Atlantic (28.1,28.15] cstar_tref ~ oxygen + aou + phosphate 497 1.0350290 1454.6478 11.396766 2000-2012 –> 2013-2019 1.9059708 3862.2274
Atlantic (28.1,28.15] cstar_tref ~ oxygen + aou + silicate + phosphate 497 1.0349299 1456.5526 11.397933 2000-2012 –> 2013-2019 1.9001307 3853.7516
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + nitrate 497 1.0012919 1423.7082 7.509885 2000-2012 –> 2013-2019 1.8546800 3795.1726
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 497 0.9093331 1329.9514 6.780142 2000-2012 –> 2013-2019 1.6966915 3552.6620
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + phosphate 497 0.8714406 1285.6430 6.181914 2000-2012 –> 2013-2019 1.6447306 3472.6026
Atlantic (28.1,28.15] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 497 0.8712585 1287.4353 6.182326 2000-2012 –> 2013-2019 1.6311195 3443.5998
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + nitrate 497 0.9054208 1323.6656 12.571636 2000-2012 –> 2013-2019 1.7091416 3582.8801
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 497 0.8927605 1311.6686 12.829374 2000-2012 –> 2013-2019 1.6915286 3561.3121
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + phosphate 497 0.9653756 1387.3983 11.632299 2000-2012 –> 2013-2019 1.8224628 3766.9596
Atlantic (28.1,28.15] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 497 0.8791505 1296.3985 11.933687 2000-2012 –> 2013-2019 1.6648467 3515.1529
Atlantic (28.15,28.2] cstar_tref ~ oxygen + aou + nitrate 1540 0.6263432 2939.3316 2.349100 1982-1999 –> 2000-2012 1.2107182 6871.2496
Atlantic (28.15,28.2] cstar_tref ~ oxygen + aou + nitrate + silicate 1540 0.5624758 2610.0768 2.130974 1982-1999 –> 2000-2012 1.1029696 6196.7844
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 1540 0.6375040 2995.7309 2.402197 1982-1999 –> 2000-2012 1.2354501 7031.7649
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + aou + nitrate 1540 0.5736697 2670.7703 2.019915 1982-1999 –> 2000-2012 1.0952532 6099.0683
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1540 0.5610554 2604.2888 2.024880 1982-1999 –> 2000-2012 1.0823616 6032.2222
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 1540 0.6454242 3031.7606 2.459814 1982-1999 –> 2000-2012 1.2492222 7109.1137
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 1540 0.5718023 2660.7281 2.192349 1982-1999 –> 2000-2012 1.1224532 6330.2485
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate 1540 0.4269578 1761.0344 1.632599 1982-1999 –> 2000-2012 0.8645347 4408.1894
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1540 0.3632927 1265.6880 1.840394 1982-1999 –> 2000-2012 0.7552045 3424.6025
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate 1540 0.5772872 2690.1312 2.226077 1982-1999 –> 2000-2012 1.1364464 6427.8538
Atlantic (28.15,28.2] cstar_tref ~ oxygen + aou + nitrate 819 0.9134803 2185.9930 8.344846 2000-2012 –> 2013-2019 1.5398235 5125.3246
Atlantic (28.15,28.2] cstar_tref ~ oxygen + aou + nitrate + silicate 819 0.8439976 2058.4072 8.138976 2000-2012 –> 2013-2019 1.4064734 4668.4840
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 819 0.9046416 2170.0669 7.922510 2000-2012 –> 2013-2019 1.5421842 5163.9839
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 819 0.8257916 2022.6871 4.712442 2000-2012 –> 2013-2019 1.4632956 5018.4180
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + aou + nitrate 819 0.7559836 1878.0144 5.316539 2000-2012 –> 2013-2019 1.3296533 4548.7847
Atlantic (28.15,28.2] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 819 0.7489107 1864.6174 4.600904 2000-2012 –> 2013-2019 1.3099661 4468.9061
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 819 0.8619250 2092.8357 8.363302 2000-2012 –> 2013-2019 1.4337273 4753.5638
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate 819 0.7030888 1759.1996 7.602305 2000-2012 –> 2013-2019 1.1300465 3520.2341
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 819 0.6403755 1608.1638 7.320694 2000-2012 –> 2013-2019 1.0036682 2873.8518
Atlantic (28.15,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate 819 0.8696972 2107.5398 8.465903 2000-2012 –> 2013-2019 1.4469843 4797.6710
Atlantic (28.2, Inf] cstar_tref ~ oxygen + aou + nitrate + silicate 2693 0.6011870 4913.7410 4.029845 1982-1999 –> 2000-2012 1.0847642 10064.6913
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 2693 0.3593168 2139.5581 1.966552 1982-1999 –> 2000-2012 0.6655852 3898.5165
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 2693 0.3588037 2133.8610 1.963165 1982-1999 –> 2000-2012 0.6635911 3858.8422
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + aou + nitrate 2693 0.3592604 2140.7122 1.976612 1982-1999 –> 2000-2012 0.6635668 3853.9721
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2693 0.3583938 2129.7046 2.008006 1982-1999 –> 2000-2012 0.6624316 3838.4095
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate 2693 0.4955127 3870.5572 8.085578 1982-1999 –> 2000-2012 1.0325571 9797.8500
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate 2693 0.4778466 3677.0273 6.696866 1982-1999 –> 2000-2012 0.9678429 8925.8507
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 2693 0.6096423 4988.9638 4.145789 1982-1999 –> 2000-2012 1.1000011 10243.2760
Atlantic (28.2, Inf] cstar_tref ~ temp + oxygen + aou + nitrate 2693 0.5776298 4698.4468 5.255942 1982-1999 –> 2000-2012 1.0981249 10395.4306
Atlantic (28.2, Inf] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 2693 0.4651150 3533.5786 4.750458 1982-1999 –> 2000-2012 0.8948946 7811.1897
Atlantic (28.2, Inf] cstar_tref ~ oxygen + aou + nitrate + silicate 1557 0.7933539 3709.7277 6.174644 2000-2012 –> 2013-2019 1.3945410 8623.4688
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 1557 0.4186021 1716.7958 2.479100 2000-2012 –> 2013-2019 0.7779188 3856.3538
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 1557 0.4110188 1661.8663 2.465092 2000-2012 –> 2013-2019 0.7698225 3795.7273
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + aou + nitrate 1557 0.4185643 1718.5149 2.491057 2000-2012 –> 2013-2019 0.7778247 3859.2271
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1557 0.4078847 1640.0304 2.583450 2000-2012 –> 2013-2019 0.7662785 3769.7350
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate 1557 0.5156492 2366.0835 7.293748 2000-2012 –> 2013-2019 1.0111620 6236.6407
Atlantic (28.2, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate 1557 0.4718588 2091.7254 3.398074 2000-2012 –> 2013-2019 0.9497054 5768.7527
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 1557 0.8076518 3765.3486 6.453251 2000-2012 –> 2013-2019 1.4172941 8754.3124
Atlantic (28.2, Inf] cstar_tref ~ temp + oxygen + aou + nitrate 1557 0.6969994 3306.5119 9.774612 2000-2012 –> 2013-2019 1.2746292 8004.9587
Atlantic (28.2, Inf] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1557 0.5976116 2829.4430 10.055634 2000-2012 –> 2013-2019 1.0627266 6363.0217
Indo-Pacific (-Inf,26] cstar_tref ~ oxygen + aou + silicate + phosphate 5288 7.7270410 36643.7160 27.677067 1982-1999 –> 2000-2012 15.8078967 87128.0807
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate 5288 7.5021067 36331.2786 58.364670 1982-1999 –> 2000-2012 15.2612874 86231.2693
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 5288 7.2622204 35989.5771 52.032318 1982-1999 –> 2000-2012 14.7002735 85283.5058
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + phosphate 5288 6.2360939 34376.5179 29.968567 1982-1999 –> 2000-2012 12.7656352 81794.3473
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5288 6.1928478 34304.9200 29.527354 1982-1999 –> 2000-2012 12.6716991 81612.6324
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 5288 7.4813073 36301.9161 28.357780 1982-1999 –> 2000-2012 15.2943635 86301.4501
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 5288 7.8284123 36783.5607 47.925267 1982-1999 –> 2000-2012 15.8506095 87165.1172
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + aou + phosphate 5288 7.5866534 36449.8006 30.398788 1982-1999 –> 2000-2012 15.5091350 86649.4191
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5288 7.2933052 36034.7494 29.166512 1982-1999 –> 2000-2012 14.8774849 85608.5624
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + silicate + phosphate 5288 7.3907730 36173.1511 28.492599 1982-1999 –> 2000-2012 15.1050761 85989.6943
Indo-Pacific (-Inf,26] cstar_tref ~ oxygen + aou + silicate + phosphate 2816 7.4838789 19339.2768 24.626991 2000-2012 –> 2013-2019 15.2109199 55982.9928
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate 2816 7.4348526 19302.2605 54.478210 2000-2012 –> 2013-2019 14.9369593 55633.5392
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2816 7.1158506 19057.2750 40.772881 2000-2012 –> 2013-2019 14.3780711 55046.8521
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + phosphate 2816 5.9520247 18049.4373 24.894024 2000-2012 –> 2013-2019 12.1881186 52425.9552
Indo-Pacific (-Inf,26] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2816 5.8778725 17980.8313 24.128023 2000-2012 –> 2013-2019 12.0707203 52285.7513
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 2816 7.2293095 19144.3661 24.250881 2000-2012 –> 2013-2019 14.7106167 55446.2822
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + aou + phosphate 2816 7.3755420 19257.1519 27.689978 2000-2012 –> 2013-2019 14.9621954 55706.9524
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2816 7.0001768 18964.9700 25.465195 2000-2012 –> 2013-2019 14.2934820 54999.7194
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + phosphate 2816 7.6384054 19452.3815 26.635654 2000-2012 –> 2013-2019 15.4197341 56168.1413
Indo-Pacific (-Inf,26] cstar_tref ~ temp + oxygen + silicate + phosphate 2816 7.1344030 19069.9395 24.441528 2000-2012 –> 2013-2019 14.5251760 55243.0906
Indo-Pacific (26,26.5] cstar_tref ~ oxygen + aou + phosphate 5525 5.5397605 34606.3322 42.874319 1982-1999 –> 2000-2012 10.8450455 82240.1231
Indo-Pacific (26,26.5] cstar_tref ~ oxygen + aou + silicate + phosphate 5525 4.8905258 33230.9339 41.688307 1982-1999 –> 2000-2012 9.5377100 78823.9388
Indo-Pacific (26,26.5] cstar_tref ~ sal + oxygen + aou + phosphate 5525 5.0675025 33623.7421 44.531956 1982-1999 –> 2000-2012 9.8456651 79645.4511
Indo-Pacific (26,26.5] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5525 4.5360650 32401.5327 43.772780 1982-1999 –> 2000-2012 8.7824377 76605.3494
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate 5525 5.4925582 34511.7758 42.074977 1982-1999 –> 2000-2012 10.7300960 81947.3373
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 5525 4.8893893 33228.3657 40.409229 1982-1999 –> 2000-2012 9.5091497 78730.0815
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + aou + phosphate 5525 5.4891091 34506.8347 46.051915 1982-1999 –> 2000-2012 10.7002974 81866.6037
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5525 4.8803203 33209.8508 41.154556 1982-1999 –> 2000-2012 9.4999894 78713.2617
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + phosphate 5525 5.4949921 34516.6714 53.690387 1982-1999 –> 2000-2012 10.7077534 81879.0953
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 5525 4.9304894 33320.8635 50.805047 1982-1999 –> 2000-2012 9.5666218 78877.1440
Indo-Pacific (26,26.5] cstar_tref ~ oxygen + aou + phosphate 2918 5.5329504 18274.6942 40.255296 2000-2012 –> 2013-2019 11.0727108 52881.0264
Indo-Pacific (26,26.5] cstar_tref ~ oxygen + aou + silicate + phosphate 2918 4.8175903 17468.7156 40.382988 2000-2012 –> 2013-2019 9.7081161 50699.6495
Indo-Pacific (26,26.5] cstar_tref ~ sal + oxygen + aou + phosphate 2918 5.0324162 17723.3190 47.734928 2000-2012 –> 2013-2019 10.0999186 51347.0611
Indo-Pacific (26,26.5] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2918 4.4724496 17036.8813 46.310491 2000-2012 –> 2013-2019 9.0085146 49438.4140
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + phosphate 2918 5.4808261 18219.4544 37.883881 2000-2012 –> 2013-2019 10.9733843 52731.2302
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 2918 4.8142859 17464.7112 37.043514 2000-2012 –> 2013-2019 9.7036752 50693.0769
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + aou + phosphate 2918 5.4747290 18214.9585 36.296683 2000-2012 –> 2013-2019 10.9638381 52721.7932
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2918 4.8065118 17457.2797 38.739984 2000-2012 –> 2013-2019 9.6868321 50667.1305
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + phosphate 2918 5.4774950 18215.9063 35.116956 2000-2012 –> 2013-2019 10.9724872 52732.5777
Indo-Pacific (26,26.5] cstar_tref ~ temp + oxygen + silicate + phosphate 2918 4.8517131 17509.9060 34.225344 2000-2012 –> 2013-2019 9.7822025 50830.7695
Indo-Pacific (26.5,26.75] cstar_tref ~ oxygen + aou + phosphate 4544 4.3483592 26262.8430 22.498422 1982-1999 –> 2000-2012 8.4872696 61980.7739
Indo-Pacific (26.5,26.75] cstar_tref ~ oxygen + aou + silicate + phosphate 4544 4.0473152 25612.8259 22.127132 1982-1999 –> 2000-2012 7.9963826 60742.2745
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + aou + phosphate 4544 4.2282325 26010.2468 17.683523 1982-1999 –> 2000-2012 8.1624139 61092.2007
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 4544 3.9265162 25339.4488 20.226531 1982-1999 –> 2000-2012 7.6839109 59845.1956
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate 4544 4.4055596 26381.6114 29.391989 1982-1999 –> 2000-2012 8.6008539 62269.7071
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4544 4.1322494 25801.5670 26.615035 1982-1999 –> 2000-2012 8.1538965 61160.0507
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + aou + phosphate 4544 4.2651270 26089.2026 19.530570 1982-1999 –> 2000-2012 8.3312639 61586.0455
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 4544 3.9477481 25388.4579 23.151958 1982-1999 –> 2000-2012 7.8249401 60288.9073
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + phosphate 4544 4.4727413 26519.1509 35.203832 1982-1999 –> 2000-2012 8.7384525 62616.5797
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 4544 4.2095240 25969.9463 32.334600 1982-1999 –> 2000-2012 8.3064308 61561.5980
Indo-Pacific (26.5,26.75] cstar_tref ~ oxygen + aou + phosphate 2447 4.7435174 14573.1612 20.966573 2000-2012 –> 2013-2019 9.0918766 40836.0042
Indo-Pacific (26.5,26.75] cstar_tref ~ oxygen + aou + silicate + phosphate 2447 4.4033896 14211.0265 24.538450 2000-2012 –> 2013-2019 8.4507048 39823.8524
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + aou + phosphate 2447 4.6312511 14457.9407 20.916727 2000-2012 –> 2013-2019 8.8594835 40468.1875
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2447 4.2938981 14089.7973 24.434470 2000-2012 –> 2013-2019 8.2204143 39429.2462
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + phosphate 2447 4.7974799 14628.5214 20.503345 2000-2012 –> 2013-2019 9.2030396 41010.1328
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 2447 4.4871872 14303.2855 23.916608 2000-2012 –> 2013-2019 8.6194367 40104.8525
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + aou + phosphate 2447 4.6619310 14490.2543 19.589333 2000-2012 –> 2013-2019 8.9270580 40579.4569
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2447 4.2923135 14087.9909 22.815590 2000-2012 –> 2013-2019 8.2400615 39476.4489
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + phosphate 2447 4.8558146 14687.6708 19.899362 2000-2012 –> 2013-2019 9.3285558 41206.8216
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + oxygen + silicate + phosphate 2447 4.5556780 14377.4214 23.174250 2000-2012 –> 2013-2019 8.7652020 40347.3676
Indo-Pacific (26.75,27] cstar_tref ~ oxygen + aou + phosphate 5354 4.5403612 31405.2681 19.876020 1982-1999 –> 2000-2012 8.5493390 73701.4539
Indo-Pacific (26.75,27] cstar_tref ~ oxygen + aou + silicate + phosphate 5354 4.5232238 31366.7748 18.928405 1982-1999 –> 2000-2012 8.5202080 73619.8323
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + aou + phosphate 5354 4.3077986 30844.2463 21.980567 1982-1999 –> 2000-2012 7.9956057 71884.6902
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5354 4.2906105 30803.4359 21.052395 1982-1999 –> 2000-2012 7.9645082 71788.9629
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate 5354 4.7325547 31849.2068 22.112703 1982-1999 –> 2000-2012 8.9380478 74866.1886
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 5354 4.7085076 31796.6584 21.818996 1982-1999 –> 2000-2012 8.8953150 74748.5682
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + phosphate 5354 4.2057274 30587.4712 23.104196 1982-1999 –> 2000-2012 7.8859232 71596.7963
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5354 4.1702723 30498.8181 21.453131 1982-1999 –> 2000-2012 7.8227361 71396.2141
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + phosphate 5354 4.8452343 32101.1707 23.622430 1982-1999 –> 2000-2012 9.1905960 75610.9426
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 5354 4.8218019 32051.2593 23.312826 1982-1999 –> 2000-2012 9.1486740 75498.8053
Indo-Pacific (26.75,27] cstar_tref ~ oxygen + aou + phosphate 2868 4.9134802 17280.6429 19.343238 2000-2012 –> 2013-2019 9.4538414 48685.9111
Indo-Pacific (26.75,27] cstar_tref ~ oxygen + aou + silicate + phosphate 2868 4.9018613 17269.0630 18.494849 2000-2012 –> 2013-2019 9.4250851 48635.8378
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + aou + phosphate 2868 4.6612052 16980.3073 20.095371 2000-2012 –> 2013-2019 8.9690038 47824.5536
Indo-Pacific (26.75,27] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2868 4.6499950 16968.4956 19.282213 2000-2012 –> 2013-2019 8.9406055 47771.9315
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate 2868 5.1322867 17530.5538 18.555267 2000-2012 –> 2013-2019 9.8648414 49379.7605
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2868 5.1132156 17511.1996 17.396394 2000-2012 –> 2013-2019 9.8217232 49307.8580
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + phosphate 2868 4.5774010 16876.2410 16.522089 2000-2012 –> 2013-2019 8.7831284 47463.7121
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2868 4.5537010 16848.4650 17.066955 2000-2012 –> 2013-2019 8.7239733 47347.2831
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + phosphate 2868 5.2448998 17655.0527 17.217990 2000-2012 –> 2013-2019 10.0901341 49756.2234
Indo-Pacific (26.75,27] cstar_tref ~ temp + oxygen + silicate + phosphate 2868 5.2254515 17635.7438 17.046500 2000-2012 –> 2013-2019 10.0472534 49687.0031
Indo-Pacific (27,27.25] cstar_tref ~ oxygen + aou + phosphate 6466 4.7984147 38640.7823 53.611488 1982-1999 –> 2000-2012 8.7039365 87808.0078
Indo-Pacific (27,27.25] cstar_tref ~ oxygen + aou + silicate + phosphate 6466 4.4389355 37635.7547 39.385070 1982-1999 –> 2000-2012 8.0900559 85614.5068
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 6466 4.7465593 38502.2685 25.938937 1982-1999 –> 2000-2012 8.7928102 88297.1419
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + aou + phosphate 6466 4.7089499 38399.3937 56.109262 1982-1999 –> 2000-2012 8.4861976 86978.3817
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 6466 4.3929768 37503.1646 41.945012 1982-1999 –> 2000-2012 7.9587117 85065.6810
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate 6466 4.9930866 39155.0711 53.367774 1982-1999 –> 2000-2012 9.0706760 89084.3033
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 6466 4.5799992 38040.3224 37.420573 1982-1999 –> 2000-2012 8.3645596 86653.4940
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + aou + phosphate 6466 4.3599345 37403.5276 46.003290 1982-1999 –> 2000-2012 7.9680032 85172.6402
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 6466 3.9500266 36128.6900 31.512269 1982-1999 –> 2000-2012 7.2528573 82337.5496
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate 6466 4.6882058 38342.2992 36.052942 1982-1999 –> 2000-2012 8.5937887 87511.8009
Indo-Pacific (27,27.25] cstar_tref ~ oxygen + aou + silicate + phosphate 3470 5.1328308 21210.8952 31.173698 2000-2012 –> 2013-2019 9.5717663 58846.6499
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 3470 5.3345972 21478.4743 22.271388 2000-2012 –> 2013-2019 10.0811565 59980.7427
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + aou + phosphate 3470 5.6798492 21913.6907 49.289012 2000-2012 –> 2013-2019 10.3887991 60313.0844
Indo-Pacific (27,27.25] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 3470 5.0789520 21139.6617 33.597697 2000-2012 –> 2013-2019 9.4719288 58642.8263
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 3470 5.2457410 21361.9039 28.969816 2000-2012 –> 2013-2019 9.8257402 59402.2264
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 3470 5.3177288 21458.4947 43.848114 2000-2012 –> 2013-2019 10.3205035 60642.6333
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + aou + phosphate 3470 5.1322261 21210.0776 39.784583 2000-2012 –> 2013-2019 9.4921606 58613.6052
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + aou + silicate 3470 5.3264247 21467.8342 43.697841 2000-2012 –> 2013-2019 10.3303267 60652.8865
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3470 4.4723380 20256.9380 25.616236 2000-2012 –> 2013-2019 8.4223646 56385.6280
Indo-Pacific (27,27.25] cstar_tref ~ temp + oxygen + silicate + phosphate 3470 5.3226341 21462.8935 27.632792 2000-2012 –> 2013-2019 10.0108400 59805.1927
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate 5847 3.9594704 32695.3009 33.448037 1982-1999 –> 2000-2012 7.2237819 73775.0697
Indo-Pacific (27.25,27.5] cstar_tref ~ oxygen + aou + silicate + phosphate 5847 3.9594630 32697.2790 33.418727 1982-1999 –> 2000-2012 7.2210704 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 7.0211675 73001.7908
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5847 3.6920890 31881.6814 32.521736 1982-1999 –> 2000-2012 6.7625645 71999.2104
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate 5847 3.7568967 32083.1670 30.801943 1982-1999 –> 2000-2012 6.8441839 72284.8816
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 5847 3.9564842 32688.4779 34.034247 1982-1999 –> 2000-2012 7.2205262 73768.9438
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 5847 3.4761473 31176.9092 34.942229 1982-1999 –> 2000-2012 6.7789047 72445.4904
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + silicate 5847 3.4865240 31209.7654 34.899110 1982-1999 –> 2000-2012 6.7897837 72478.7469
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5847 3.3461863 30731.3292 33.390589 1982-1999 –> 2000-2012 6.2704796 70078.9213
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + silicate + phosphate 5847 3.9732569 32737.9473 34.309542 1982-1999 –> 2000-2012 7.2597842 73926.7734
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate 3127 4.6475693 18492.3392 32.264940 2000-2012 –> 2013-2019 8.6070397 51187.6401
Indo-Pacific (27.25,27.5] cstar_tref ~ oxygen + aou + silicate + phosphate 3127 4.6475485 18494.3112 32.208168 2000-2012 –> 2013-2019 8.6070115 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 8.3493278 50654.6335
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 3127 4.3037583 18015.6837 32.127293 2000-2012 –> 2013-2019 7.9958473 49897.3651
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + oxygen + silicate + phosphate 3127 4.4121255 18169.2074 29.187384 2000-2012 –> 2013-2019 8.1690222 50252.3744
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 3127 4.6438859 18489.3806 33.023859 2000-2012 –> 2013-2019 8.6003700 51177.8584
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 3127 3.8712880 17353.3764 34.429027 2000-2012 –> 2013-2019 7.3474353 48530.2857
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + silicate 3127 3.8939716 17387.9144 34.448255 2000-2012 –> 2013-2019 7.3804957 48597.6798
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3127 3.8437243 17308.6883 33.232474 2000-2012 –> 2013-2019 7.1899105 48040.0175
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + oxygen + silicate + phosphate 3127 4.6568828 18506.8594 33.373407 2000-2012 –> 2013-2019 8.6301397 51244.8067
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 5836 3.5684756 31422.2510 27.037264 1982-1999 –> 2000-2012 6.0538534 69193.2287
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 5836 3.2561626 30355.2231 11.128575 1982-1999 –> 2000-2012 5.8481699 68809.1487
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou + phosphate 5836 3.5070701 31219.6540 20.172306 1982-1999 –> 2000-2012 6.1351399 69895.5542
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou + silicate 5836 3.2962211 30495.9400 10.870222 1982-1999 –> 2000-2012 5.8999639 69021.0922
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 5836 3.2280103 30253.8699 9.417658 1982-1999 –> 2000-2012 5.5715676 67074.4342
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + phosphate 5836 3.5742757 31439.2071 27.996706 1982-1999 –> 2000-2012 6.2058030 70134.4198
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate 5836 3.4363673 30981.9413 25.357370 1982-1999 –> 2000-2012 5.8135896 68031.7039
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 5836 3.3235569 30594.3376 15.037271 1982-1999 –> 2000-2012 5.8912278 68895.3489
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + aou + silicate 5836 3.3854635 30807.7474 15.908990 1982-1999 –> 2000-2012 5.9726719 69229.6343
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 5836 3.3691828 30753.4813 15.287781 1982-1999 –> 2000-2012 5.8121319 68247.3438
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou 3104 4.1264388 17618.0812 14.813631 2000-2012 –> 2013-2019 7.6810902 48993.0277
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou + nitrate 3104 4.1256119 17618.8371 14.220541 2000-2012 –> 2013-2019 7.6796214 48993.6754
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 3104 3.7517852 17031.1853 10.421349 2000-2012 –> 2013-2019 7.0079479 47386.4085
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou + phosphate 3104 4.1222456 17613.7695 17.053811 2000-2012 –> 2013-2019 7.6293157 48833.4235
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou + silicate 3104 3.8082296 17121.8870 10.751237 2000-2012 –> 2013-2019 7.1044506 47617.8270
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 3104 3.7804110 17078.3721 11.020697 2000-2012 –> 2013-2019 7.0084214 47332.2420
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + oxygen + silicate + phosphate 3104 4.2088784 17742.8844 27.865993 2000-2012 –> 2013-2019 7.6452457 48724.8257
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 3104 3.8863004 17249.8675 18.307779 2000-2012 –> 2013-2019 7.2098573 47844.2051
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + aou + silicate 3104 4.0132363 17447.3946 19.911013 2000-2012 –> 2013-2019 7.3986998 48255.1420
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 3104 4.0127640 17448.6640 19.751773 2000-2012 –> 2013-2019 7.3819468 48202.1453
Indo-Pacific (27.75,27.85] cstar_tref ~ oxygen + aou + phosphate 2317 2.7709036 11308.2111 22.832566 1982-1999 –> 2000-2012 4.7245862 24397.3664
Indo-Pacific (27.75,27.85] cstar_tref ~ oxygen + aou + silicate + phosphate 2317 2.7304690 11242.0909 21.046900 1982-1999 –> 2000-2012 4.6623579 24262.9999
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + aou + phosphate 2317 2.7697926 11308.3527 23.085715 1982-1999 –> 2000-2012 4.7085397 24351.4525
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2317 2.7290365 11241.6591 21.325228 1982-1999 –> 2000-2012 4.6507603 24231.5321
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2317 2.7417874 11261.2601 20.642191 1982-1999 –> 2000-2012 4.6870749 24325.4494
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 2317 2.6635143 11129.0427 23.383306 1982-1999 –> 2000-2012 4.6687190 24385.1981
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + phosphate 2317 2.7408402 11259.6589 23.487260 1982-1999 –> 2000-2012 4.6879961 24329.8596
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + silicate 2317 2.6648573 11129.3786 24.024172 1982-1999 –> 2000-2012 4.7140448 24519.4023
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2317 2.6406178 11089.0349 20.968772 1982-1999 –> 2000-2012 4.5482001 24032.6569
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + silicate + phosphate 2317 2.7373185 11253.7009 20.385504 1982-1999 –> 2000-2012 4.6897567 24340.8662
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1264 3.1517774 6503.1361 36.710004 2000-2012 –> 2013-2019 5.9026456 17781.7186
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + aou + silicate 1264 3.1750489 6519.7332 33.229502 2000-2012 –> 2013-2019 5.9259882 17796.4356
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1264 3.1693826 6517.2176 30.950746 2000-2012 –> 2013-2019 5.8984191 17758.8767
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + oxygen + silicate + phosphate 1264 3.1768073 6521.1329 29.025171 2000-2012 –> 2013-2019 5.9117926 17770.8822
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou 1264 3.1284892 6480.3875 35.665205 2000-2012 –> 2013-2019 5.9289888 17837.8319
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + nitrate 1264 3.1283698 6482.2911 35.972092 2000-2012 –> 2013-2019 5.8911277 17778.8593
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1264 3.0654818 6432.9542 34.187580 2000-2012 –> 2013-2019 5.7289961 17561.9969
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + phosphate 1264 3.1128492 6469.7178 31.766441 2000-2012 –> 2013-2019 5.8536894 17729.3767
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + silicate 1264 3.0764926 6440.0182 31.760951 2000-2012 –> 2013-2019 5.7413499 17569.3968
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1264 3.0665742 6433.8549 28.861392 2000-2012 –> 2013-2019 5.7071919 17522.8898
Indo-Pacific (27.85,27.95] cstar_tref ~ oxygen + aou + nitrate 2907 2.7440603 14128.5852 28.808132 1982-1999 –> 2000-2012 4.9238849 31768.0122
Indo-Pacific (27.85,27.95] cstar_tref ~ oxygen + aou + nitrate + silicate 2907 2.7423378 14126.9345 28.588796 1982-1999 –> 2000-2012 4.9169755 31749.2554
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate 2907 2.7436417 14129.6982 28.921472 1982-1999 –> 2000-2012 4.9233662 31770.7571
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2907 2.7422238 14128.6928 28.663930 1982-1999 –> 2000-2012 4.9159460 31749.6367
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 2907 2.7484328 14139.8421 28.396374 1982-1999 –> 2000-2012 4.9240749 31765.8662
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate 2907 2.7243356 14088.6424 28.842387 1982-1999 –> 2000-2012 4.9038617 31728.9714
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 2907 2.7239834 14089.8906 28.953246 1982-1999 –> 2000-2012 4.8983678 31713.2774
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2907 2.7856872 14220.1201 34.100919 1982-1999 –> 2000-2012 4.9269749 31720.4944
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate 2907 2.7499312 14141.0108 28.547833 1982-1999 –> 2000-2012 4.9295241 31779.5857
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate 2907 2.7476621 14138.2115 28.325089 1982-1999 –> 2000-2012 4.9235034 31764.9698
Indo-Pacific (27.85,27.95] cstar_tref ~ oxygen + aou + nitrate 1542 3.3077170 8075.2668 32.338590 2000-2012 –> 2013-2019 6.0517773 22203.8520
Indo-Pacific (27.85,27.95] cstar_tref ~ oxygen + aou + nitrate + silicate 1542 3.2867299 8057.6368 31.768016 2000-2012 –> 2013-2019 6.0290677 22184.5713
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate 1542 3.3004382 8070.4728 32.843210 2000-2012 –> 2013-2019 6.0440799 22200.1711
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1542 3.2834994 8056.6041 32.157719 2000-2012 –> 2013-2019 6.0257232 22185.2969
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 1542 3.3046795 8074.4335 31.424170 2000-2012 –> 2013-2019 6.0531124 22214.2756
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate 1542 3.1823803 7958.1357 31.944102 2000-2012 –> 2013-2019 5.9067160 22046.7781
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1542 3.1822510 7960.0104 31.986959 2000-2012 –> 2013-2019 5.9062344 22049.9010
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + phosphate 1542 3.2669990 8039.0671 37.333823 2000-2012 –> 2013-2019 6.0608699 22274.2424
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1542 3.2637446 8037.9935 37.426960 2000-2012 –> 2013-2019 6.0494318 22258.1136
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate 1542 3.3028816 8072.7552 31.234941 2000-2012 –> 2013-2019 6.0505437 22210.9666
Indo-Pacific (27.95,28.05] cstar_tref ~ oxygen + aou + nitrate + silicate 2467 2.2537278 11022.3402 8.084658 1982-1999 –> 2000-2012 4.2065267 25831.3410
Indo-Pacific (27.95,28.05] cstar_tref ~ oxygen + aou + silicate + phosphate 2467 2.2624239 11041.3418 8.237248 1982-1999 –> 2000-2012 4.1845877 25738.2975
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + nitrate 2467 2.2452176 11003.6740 7.970344 1982-1999 –> 2000-2012 4.2234271 25904.2860
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 2467 2.1792907 10858.6260 8.502155 1982-1999 –> 2000-2012 4.0658897 25425.2456
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + silicate 2467 2.2221643 10952.7511 8.198154 1982-1999 –> 2000-2012 4.1906938 25818.6040
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 2467 2.2115502 10931.1275 8.468880 1982-1999 –> 2000-2012 4.1022689 25513.2034
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 2467 2.2777752 11074.7074 8.288880 1982-1999 –> 2000-2012 4.2106641 25811.0912
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 2467 2.2082687 10923.8010 7.601092 1982-1999 –> 2000-2012 4.1538867 25708.6969
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 2467 2.1886299 10879.7253 7.878228 1982-1999 –> 2000-2012 4.0642895 25405.1370
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + silicate + phosphate 2467 2.2789172 11077.1806 8.289996 1982-1999 –> 2000-2012 4.2138321 25820.9878
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1354 2.4693551 6304.4012 8.884203 2000-2012 –> 2013-2019 4.6486458 17163.0272
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + phosphate 1354 2.4939482 6329.2376 8.352020 2000-2012 –> 2013-2019 4.7451070 17345.9505
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + silicate 1354 2.4803279 6314.4077 8.374858 2000-2012 –> 2013-2019 4.7024922 17267.1589
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1354 2.4779038 6313.7598 8.329809 2000-2012 –> 2013-2019 4.6894540 17244.8873
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + aou 1354 2.4648806 6295.4898 8.770474 2000-2012 –> 2013-2019 4.7249778 17329.7547
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + aou + nitrate 1354 2.4645726 6297.1514 8.935165 2000-2012 –> 2013-2019 4.7150343 17312.3361
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 1354 2.4310616 6262.0778 8.203286 2000-2012 –> 2013-2019 4.6393303 17185.8789
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + aou + phosphate 1354 2.4648617 6297.4690 8.721893 2000-2012 –> 2013-2019 4.7165003 17315.2334
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + aou + silicate 1354 2.4448638 6275.4089 7.558374 2000-2012 –> 2013-2019 4.6891212 17276.9724
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1354 2.4266912 6257.2052 8.523746 2000-2012 –> 2013-2019 4.6153211 17136.9304
Indo-Pacific (28.05,28.1] cstar_tref ~ oxygen + aou + silicate + phosphate 1718 1.8848420 7065.3607 9.810959 1982-1999 –> 2000-2012 3.5844089 17034.4465
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 1718 1.9510314 7183.9514 9.140991 1982-1999 –> 2000-2012 3.6246955 17074.5875
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1718 1.9503440 7182.7407 8.816710 1982-1999 –> 2000-2012 3.5709134 16908.7065
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 1718 1.8779991 7054.8637 8.994851 1982-1999 –> 2000-2012 3.5494617 16940.7764
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 1718 1.8450332 6994.0133 9.467590 1982-1999 –> 2000-2012 3.4414783 16645.3685
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + nitrate + silicate 1718 1.9571007 7194.6237 9.211560 1982-1999 –> 2000-2012 3.6409509 17116.2532
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate 1718 1.9539957 7189.1680 8.935869 1982-1999 –> 2000-2012 3.5950802 16979.3910
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 1718 1.8950101 7083.8471 9.849801 1982-1999 –> 2000-2012 3.6031612 17078.6673
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 1718 1.8032691 6915.3424 9.697645 1982-1999 –> 2000-2012 3.4298781 16662.3098
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + silicate + phosphate 1718 1.8961482 7085.9101 9.843194 1982-1999 –> 2000-2012 3.6061027 17086.1201
Indo-Pacific (28.05,28.1] cstar_tref ~ oxygen + aou + silicate + phosphate 966 2.1066397 4192.9110 9.987464 2000-2012 –> 2013-2019 3.9914816 11258.2717
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + aou + nitrate + silicate 966 2.0399549 4132.7656 9.623990 2000-2012 –> 2013-2019 3.9179540 11187.6293
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + aou + silicate 966 2.0426371 4133.3042 9.647035 2000-2012 –> 2013-2019 3.9627991 11262.4561
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 966 2.0390556 4131.9137 9.747515 2000-2012 –> 2013-2019 3.8840888 11125.9270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + oxygen + silicate + phosphate 966 2.1032628 4189.8117 9.400527 2000-2012 –> 2013-2019 4.0572586 11378.9797
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 966 2.1188554 4204.0818 10.037184 2000-2012 –> 2013-2019 4.0138656 11287.9289
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + aou + nitrate + silicate 966 2.0668558 4158.0764 9.125566 2000-2012 –> 2013-2019 4.0174817 11343.3136
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + aou + silicate 966 2.0682728 4157.4004 9.171128 2000-2012 –> 2013-2019 4.0393370 11376.4521
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 966 2.0001288 4094.6740 9.111786 2000-2012 –> 2013-2019 3.8033978 11010.0164
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + oxygen + silicate + phosphate 966 2.1186866 4203.9279 10.028459 2000-2012 –> 2013-2019 4.0148349 11289.8379
Indo-Pacific (28.1, Inf] cstar_tref ~ oxygen + aou + silicate + phosphate 14627 1.6310156 55832.7692 18.423930 1982-1999 –> 2000-2012 3.0306685 127227.2398
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 14627 1.4320006 52025.9353 13.806990 1982-1999 –> 2000-2012 2.7088012 119684.1812
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + aou + phosphate 14627 1.8196968 59035.1165 14.308953 1982-1999 –> 2000-2012 3.5408647 138839.2818
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 14627 1.3378772 50039.0036 16.225048 1982-1999 –> 2000-2012 2.5090135 114186.0580
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate 14627 1.6072254 55402.9247 9.839246 1982-1999 –> 2000-2012 3.1030388 129499.7490
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate 14627 1.6564391 56285.2493 18.364072 1982-1999 –> 2000-2012 3.0775620 128298.8415
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + aou + phosphate 14627 1.8021730 58752.0341 14.995564 1982-1999 –> 2000-2012 3.4739762 137372.6901
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 14627 1.3940533 51242.2624 17.034744 1982-1999 –> 2000-2012 2.6340769 117713.8450
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + phosphate 14627 1.8152228 58961.1029 13.615408 1982-1999 –> 2000-2012 3.5876943 139957.8212
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + silicate + phosphate 14627 1.6697977 56520.2259 18.221976 1982-1999 –> 2000-2012 3.1051732 128939.6726
Indo-Pacific (28.1, Inf] cstar_tref ~ oxygen + aou + silicate + phosphate 7804 1.8640423 31878.6342 16.201195 2000-2012 –> 2013-2019 3.4950579 87711.4034
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 7804 1.5693631 29192.8476 10.689506 2000-2012 –> 2013-2019 3.0013637 81218.7829
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + aou + phosphate 7804 1.9400500 32502.4288 11.840094 2000-2012 –> 2013-2019 3.7597468 91537.5453
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + aou + silicate + phosphate 7804 1.4923380 28409.3615 12.644005 2000-2012 –> 2013-2019 2.8302151 78448.3652
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + oxygen + silicate + phosphate 7804 1.7050926 30487.5244 9.446823 2000-2012 –> 2013-2019 3.3123180 85890.4491
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate 7804 1.8922532 32113.0803 16.180287 2000-2012 –> 2013-2019 3.5486923 88398.3296
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + aou + phosphate 7804 1.9422324 32519.9766 12.660653 2000-2012 –> 2013-2019 3.7444054 91272.0107
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + aou + silicate + phosphate 7804 1.5521124 29022.3323 13.774789 2000-2012 –> 2013-2019 2.9461657 80264.5947
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + phosphate 7804 1.9459717 32547.9968 13.456369 2000-2012 –> 2013-2019 3.7611945 91509.0998
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + oxygen + silicate + phosphate 7804 1.9035267 32205.7923 16.022427 2000-2012 –> 2013-2019 3.5733244 88726.0182

5.3.2 per fitting unit

lm_best %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab eras rmse_sum_mean ais_sum_mean
Atlantic (-Inf,26] 1982-1999 –> 2000-2012 2.731586 1292.7515
Atlantic (-Inf,26] 2000-2012 –> 2013-2019 2.634384 791.9987
Atlantic (26,26.5] 1982-1999 –> 2000-2012 7.735164 14256.9547
Atlantic (26,26.5] 2000-2012 –> 2013-2019 7.628464 8922.7782
Atlantic (26.5,26.75] 1982-1999 –> 2000-2012 7.088383 17607.1548
Atlantic (26.5,26.75] 2000-2012 –> 2013-2019 7.431437 11227.5810
Atlantic (26.75,27] 1982-1999 –> 2000-2012 5.056385 25292.5414
Atlantic (26.75,27] 2000-2012 –> 2013-2019 5.707268 17757.4485
Atlantic (27,27.25] 1982-1999 –> 2000-2012 4.368718 20370.6018
Atlantic (27,27.25] 2000-2012 –> 2013-2019 4.658669 14253.2475
Atlantic (27.25,27.5] 1982-1999 –> 2000-2012 4.647990 21822.2013
Atlantic (27.25,27.5] 2000-2012 –> 2013-2019 5.850833 15361.7388
Atlantic (27.5,27.75] 1982-1999 –> 2000-2012 5.262125 30959.8009
Atlantic (27.5,27.75] 2000-2012 –> 2013-2019 6.293950 21882.0346
Atlantic (27.75,27.85] 1982-1999 –> 2000-2012 3.882230 9780.9449
Atlantic (27.75,27.85] 2000-2012 –> 2013-2019 4.315037 6715.6641
Atlantic (27.85,27.95] 1982-1999 –> 2000-2012 6.198298 11785.9690
Atlantic (27.85,27.95] 2000-2012 –> 2013-2019 6.952754 8253.6939
Atlantic (27.95,28.05] 1982-1999 –> 2000-2012 9.486731 17188.9107
Atlantic (27.95,28.05] 2000-2012 –> 2013-2019 9.021130 10985.1034
Atlantic (28.05,28.1] 1982-1999 –> 2000-2012 1.998302 5287.1121
Atlantic (28.05,28.1] 2000-2012 –> 2013-2019 2.228172 3786.2496
Atlantic (28.1,28.15] 1982-1999 –> 2000-2012 1.468201 4859.2420
Atlantic (28.1,28.15] 2000-2012 –> 2013-2019 1.752130 3640.6321
Atlantic (28.15,28.2] 1982-1999 –> 2000-2012 1.085461 5993.1097
Atlantic (28.15,28.2] 2000-2012 –> 2013-2019 1.360582 4493.9222
Atlantic (28.2, Inf] 1982-1999 –> 2000-2012 0.883336 7268.8028
Atlantic (28.2, Inf] 2000-2012 –> 2013-2019 1.020190 5903.2198
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2012 14.784346 85376.4078
Indo-Pacific (-Inf,26] 2000-2012 –> 2013-2019 14.269599 54893.9277
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2012 9.972477 79932.8386
Indo-Pacific (26,26.5] 2000-2012 –> 2013-2019 10.197168 51474.2729
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2012 8.228582 61314.3333
Indo-Pacific (26.5,26.75] 2000-2012 –> 2013-2019 8.770583 40328.2371
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 8.328160 86452.3507
Indo-Pacific (27,27.25] 2000-2012 –> 2013-2019 9.791559 59328.5475
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2012 6.939225 72752.5796
Indo-Pacific (27.25,27.5] 2000-2012 –> 2013-2019 8.087660 50077.4251
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2012 5.920412 68853.1909
Indo-Pacific (27.5,27.75] 2000-2012 –> 2013-2019 7.374660 48218.2922
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2012 4.674204 24317.6783
Indo-Pacific (27.75,27.85] 2000-2012 –> 2013-2019 5.849019 17710.8265
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2012 4.918648 31751.0826
Indo-Pacific (27.85,27.95] 2000-2012 –> 2013-2019 6.017756 22182.8169
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2012 4.161607 25697.6890
Indo-Pacific (27.95,28.05] 2000-2012 –> 2013-2019 4.688598 17257.8130
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2012 3.564613 16952.6627
Indo-Pacific (28.05,28.1] 2000-2012 –> 2013-2019 3.970250 11252.0813
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2012 3.077087 128171.9380
Indo-Pacific (28.1, Inf] 2000-2012 –> 2013-2019 3.397248 86497.6599

5.4 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.5 Plot selected model residuals

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

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

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

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

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

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

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

5.6 Cant coeffcients

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

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

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

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

5.7 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

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

6.1.1 All models

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

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

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate oxygen phosphate sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 10 4 10 4 6 5 4
(26,26.5] 9 7 9 2 4 8 5
(26.5,26.75] 7 0 7 10 6 7 3
(26.75,27] 7 0 7 10 6 7 3
(27,27.25] 9 4 7 6 4 10 4
(27.25,27.5] 9 8 7 2 5 8 4
(27.5,27.75] 9 6 6 4 6 8 3
(27.75,27.85] 10 4 7 6 6 8 2
(27.85,27.95] 10 4 10 6 3 6 4
(27.95,28.05] 8 0 8 10 2 5 6
(28.05,28.1] 10 3 9 7 3 6 5
(28.1,28.15] 10 4 9 6 4 6 5
(28.15,28.2] 9 10 7 0 3 6 5
(28.2, Inf] 8 10 7 0 6 6 3
total 125.00 64.00 110.00 73.00 64.00 96.00 56.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 10 4 10 4 6 5 4
(26,26.5] 9 7 9 2 4 8 5
(26.5,26.75] 8 3 8 7 5 9 4
(26.75,27] 8 3 8 7 4 10 4
(27,27.25] 8 6 7 4 5 10 4
(27.25,27.5] 9 8 7 2 5 8 4
(27.5,27.75] 8 4 7 6 8 7 1
(27.75,27.85] 8 5 8 5 7 9 2
(27.85,27.95] 10 4 10 6 3 6 4
(27.95,28.05] 8 0 8 10 2 5 6
(28.05,28.1] 10 4 10 6 3 6 4
(28.1,28.15] 10 4 10 6 4 5 4
(28.15,28.2] 9 10 7 0 4 6 4
(28.2, Inf] 8 10 7 0 6 6 3
total 123.00 72.00 116.00 65.00 66.00 100.00 53.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 9 3 9 7 4 7 5
(26,26.5] 8 0 8 10 2 5 6
(26.5,26.75] 8 0 8 10 2 5 6
(26.75,27] 8 0 8 10 2 5 6
(27,27.25] 9 0 7 10 3 6 5
(27.25,27.5] 8 1 7 8 3 10 5
(27.5,27.75] 8 2 9 6 7 8 3
(27.75,27.85] 9 1 9 8 2 7 6
(27.85,27.95] 8 9 9 1 2 6 6
(27.95,28.05] 9 4 9 5 4 9 4
(28.05,28.1] 7 3 7 7 6 10 3
(28.1, Inf] 7 0 8 10 4 7 5
total 98.00 23.00 98.00 92.00 41.00 85.00 60.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 8 2 9 8 4 6 5
(26,26.5] 8 0 8 10 2 5 6
(26.5,26.75] 8 0 8 10 2 5 6
(26.75,27] 8 0 8 10 2 5 6
(27,27.25] 9 1 8 8 3 8 6
(27.25,27.5] 8 1 7 8 3 10 5
(27.5,27.75] 9 3 10 4 7 7 3
(27.75,27.85] 9 3 10 4 4 7 6
(27.85,27.95] 9 8 9 2 2 6 6
(27.95,28.05] 10 3 10 4 4 6 6
(28.05,28.1] 8 2 9 6 4 10 5
(28.1, Inf] 7 0 8 10 4 7 5
total 101.00 23.00 104.00 84.00 41.00 82.00 65.00

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
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
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