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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 112

4 Fit all models

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

  • cstar_tref

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

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        # i_predictors <- unique(lm_all$predictors)[110]

        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        # fit model
        i_lm_fit <- lm(as.formula(i_lm),
                       data = GLODAP_basin_era_slab)
        
        # find max predictor correlation
        i_cor_max <- GLODAP_basin_era_slab %>%
          select(!!!syms(str_split(i_predictors, " ",
                                         simplify = TRUE))) %>%
          correlate(quiet = TRUE) %>% 
          select(-term) %>% 
          abs() %>% 
          max(na.rm = TRUE)
        
        # calculate root mean squared error
        i_rmse <- sqrt(
          c(crossprod(i_lm_fit$residuals)) / 
            length(i_lm_fit$residuals)
        )

        # calculate maximum residual
        i_resid_max <- max(abs(i_lm_fit$residuals))
        
        # calculate Akaike information criterion aic
        i_aic <- AIC(i_lm_fit)
        
        # collect model coefficients and diagnostics
        coefficients <- tidy(i_lm_fit)
        
        coefficients <- coefficients %>%
          mutate(
            basin = i_basin,
            era = i_era,
            gamma_slab = i_gamma_slab,
            model = i_lm,
            rmse = i_rmse,
            aic = i_aic,
            resid_max = i_resid_max,
            n_predictors = i_n_predictors,
            na_predictor = anyNA(coefficients$estimate),
            cor_max = i_cor_max
          )
        
        if (exists("lm_all_fitted")) {
          lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
        }
        
        if (!exists("lm_all_fitted")) {
          lm_all_fitted <- coefficients
        }
        
        # # plot model diagnostics, if activated
        # if (params_local$plot_all_figures == "y") {
        #   p_model <- ggnostic(
        #     i_lm_fit,
        #     columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
        #     title = paste(
        #       "| era:",
        #       i_era,
        #       "| basin:",
        #       i_basin,
        #       "| gamma slab:",
        #       i_gamma_slab,
        #       "| predictors:",
        #       i_predictors
        #     )
        #   )
        #   
        #   ggsave(
        #     plot = p_model,
        #     path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
        #     filename = paste(
        #       "MLR_residuals",
        #       i_era,
        #       i_basin,
        #       i_gamma_slab,
        #       i_predictors,
        #       "predictors.png",
        #       sep = "_"
        #     ),
        #     width = 14,
        #     height = 8
        #   )
        #   
        #   rm(p_model)
        #   
        # }
        
      }
      
      
    }
  }
  
}

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.0529313 508.0936 4.021817 1982-1999 –> 2000-2012 2.3845411 1286.0801
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.0669064 510.5238 4.506279 1982-1999 –> 2000-2012 2.3985898 1286.5351
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0650698 511.9449 4.426016 1982-1999 –> 2000-2012 2.3967507 1289.9554
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.0574420 509.5299 4.227758 1982-1999 –> 2000-2012 2.3903131 1287.9406
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.0589440 510.0068 4.281729 1982-1999 –> 2000-2012 2.3921140 1288.5180
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 1.0709739 511.8023 4.694811 1982-1999 –> 2000-2012 2.4040133 1288.2696
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0646493 511.8122 4.234683 1982-1999 –> 2000-2012 2.3962400 1289.7923
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0694684 513.3297 4.624413 1982-1999 –> 2000-2012 2.4024546 1291.7791
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0708017 513.7483 4.671370 1982-1999 –> 2000-2012 2.4040952 1292.3010
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.0605961 510.5306 4.333869 1982-1999 –> 2000-2012 2.3945656 1289.3103
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.1285639 254.2220 2.798637 2000-2012 –> 2013-2019 2.1814952 762.3155
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1819575 261.4332 3.306338 2000-2012 –> 2013-2019 2.2470273 773.3781
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.1357044 255.2059 2.761390 2000-2012 –> 2013-2019 2.1931464 764.7358
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1385676 255.5987 2.813203 2000-2012 –> 2013-2019 2.1975116 765.6055
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.1929038 262.8713 2.724893 2000-2012 –> 2013-2019 2.2980531 787.2281
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2437146 269.3784 3.455189 2000-2012 –> 2013-2019 2.3083639 781.1906
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1901456 262.5102 3.453009 2000-2012 –> 2013-2019 2.2596141 775.8399
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1931661 262.9056 3.497480 2000-2012 –> 2013-2019 2.2639678 776.6539
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.1417526 256.0345 2.864096 2000-2012 –> 2013-2019 2.2023487 766.5651
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1950624 263.1534 3.519214 2000-2012 –> 2013-2019 2.2672406 777.3333
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.3090866 5956.6676 14.023919 1982-1999 –> 2000-2012 6.5663309 14622.8688
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5385329 6108.9825 13.458633 1982-1999 –> 2000-2012 6.9817398 14959.9600
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.4355823 6039.8999 15.582115 1982-1999 –> 2000-2012 6.8680661 14878.4970
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.3830361 6006.8818 14.717310 1982-1999 –> 2000-2012 6.7429844 14776.3977
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3858067 6008.7418 14.762595 1982-1999 –> 2000-2012 6.7501440 14782.6021
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.3438101 5980.3843 15.193660 1982-1999 –> 2000-2012 6.6831982 14729.4729
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6004284 6148.3804 14.160333 1982-1999 –> 2000-2012 7.1392057 15090.4719
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6081889 6153.2723 14.267590 1982-1999 –> 2000-2012 7.1588106 15106.4841
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.4027791 6020.1024 14.950523 1982-1999 –> 2000-2012 6.7919727 14818.4601
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6096349 6154.1826 14.304181 1982-1999 –> 2000-2012 7.1649808 15111.8195
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.2559999 3226.9053 10.447673 2000-2012 –> 2013-2019 6.5650865 9183.5729
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6126461 3355.3765 10.821609 2000-2012 –> 2013-2019 7.1511790 9464.3590
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3.3529894 3261.1855 10.303799 2000-2012 –> 2013-2019 6.7885717 9301.0854
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.3131751 3248.4211 9.884411 2000-2012 –> 2013-2019 6.6962112 9255.3029
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3151019 3249.1396 9.885919 2000-2012 –> 2013-2019 6.7009086 9257.8815
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.2019551 3206.2174 9.370614 2000-2012 –> 2013-2019 6.5457652 9186.6017
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6537066 3369.3453 10.309180 2000-2012 –> 2013-2019 7.2541351 9517.7258
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6588360 3371.0793 10.317504 2000-2012 –> 2013-2019 7.2670249 9524.3516
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.3271164 3253.6110 9.909519 2000-2012 –> 2013-2019 6.7298955 9273.7135
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6584854 3370.9609 10.318851 2000-2012 –> 2013-2019 7.2681203 9525.1435
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.2470241 8115.6336 10.231136 1982-1999 –> 2000-2012 6.3638299 18919.9984
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3583807 8218.8401 10.684921 1982-1999 –> 2000-2012 6.5236212 19086.3096
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.3118168 8177.2786 9.235382 1982-1999 –> 2000-2012 6.5193883 19102.8376
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2815350 8148.6194 10.449681 1982-1999 –> 2000-2012 6.4073454 18965.1643
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2947613 8161.1695 10.455973 1982-1999 –> 2000-2012 6.4445084 19009.9221
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3103382 8175.8853 10.510653 1982-1999 –> 2000-2012 6.4825326 19054.6202
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3145143 8179.8188 10.520585 1982-1999 –> 2000-2012 6.4936425 19067.7721
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.3008327 8166.9135 10.738674 1982-1999 –> 2000-2012 6.4773765 19051.4332
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3258686 8190.4885 11.145018 1982-1999 –> 2000-2012 6.5316513 19113.6924
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2593604 8127.4649 9.985777 1982-1999 –> 2000-2012 6.3095645 18840.6336
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.4004276 3898.9744 9.224751 2000-2012 –> 2013-2019 6.6474517 12014.6081
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.4386856 3915.4209 9.742502 2000-2012 –> 2013-2019 6.7505023 12092.6995
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.4519208 3919.0679 10.234892 2000-2012 –> 2013-2019 6.7970338 12125.5577
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.4178621 3906.4920 10.546763 2000-2012 –> 2013-2019 6.6993971 12055.1115
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.4268245 3910.3417 10.584934 2000-2012 –> 2013-2019 6.7215859 12071.5112
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.4412673 3916.5242 10.744217 2000-2012 –> 2013-2019 6.7516055 12092.4095
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4448277 3918.0443 10.794175 2000-2012 –> 2013-2019 6.7593420 12097.8631
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.4426159 3917.1001 9.458482 2000-2012 –> 2013-2019 6.7434486 12084.0136
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4610820 3924.9641 9.525482 2000-2012 –> 2013-2019 6.7869506 12115.4526
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.4302888 3911.8270 10.955596 2000-2012 –> 2013-2019 6.6896492 12039.2918
Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.0966114 11544.4535 14.839339 1982-1999 –> 2000-2012 3.7617485 25064.2334
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.1562430 11692.2135 15.705946 1982-1999 –> 2000-2012 3.8576824 25361.0060
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0584488 11446.3592 15.019464 1982-1999 –> 2000-2012 3.7431105 25047.7630
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1203301 11604.5250 15.079101 1982-1999 –> 2000-2012 3.8780807 25503.3052
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.1841990 11763.0024 21.487345 1982-1999 –> 2000-2012 3.9837892 25826.4977
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2083048 11821.6141 24.431305 1982-1999 –> 2000-2012 4.0228977 25943.2416
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.1863375 11768.2281 13.163828 1982-1999 –> 2000-2012 3.9576711 25720.9080
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.2438218 11906.8159 15.192665 1982-1999 –> 2000-2012 4.0620723 26042.5430
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.2592103 11941.3136 16.122729 1982-1999 –> 2000-2012 4.0744471 26063.4253
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.1484086 11674.7761 22.760365 1982-1999 –> 2000-2012 3.7156404 24770.2584
Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.5189920 6630.0597 21.776215 2000-2012 –> 2013-2019 4.6156034 18174.5132
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6328416 6752.8943 26.902311 2000-2012 –> 2013-2019 4.7890846 18445.1078
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.5741578 6691.2377 21.834798 2000-2012 –> 2013-2019 4.8066958 18571.1320
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.5995484 6716.9561 24.264161 2000-2012 –> 2013-2019 4.8360707 18604.3721
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5343371 6647.2107 25.445252 2000-2012 –> 2013-2019 4.5927859 18093.5699
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5714581 6688.2744 25.212987 2000-2012 –> 2013-2019 4.6917882 18292.7994
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6068856 6726.9156 25.377739 2000-2012 –> 2013-2019 4.7910846 18489.9181
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6182643 6739.2152 25.400147 2000-2012 –> 2013-2019 4.8265691 18560.8293
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.6299361 6751.7762 22.058906 2000-2012 –> 2013-2019 4.8162736 18520.0043
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3244729 6403.1075 22.917547 2000-2012 –> 2013-2019 4.4728815 18077.8835
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.0073007 9809.8273 20.172524 1982-1999 –> 2000-2012 3.8404296 22224.6995
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.9327843 9634.6778 11.477082 1982-1999 –> 2000-2012 3.7417773 21968.3826
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9771119 9737.6654 9.743648 1982-1999 –> 2000-2012 3.7957715 22102.0078
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9362557 9642.9858 10.006513 1982-1999 –> 2000-2012 3.5913896 21432.3384
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9433711 9659.9692 9.780245 1982-1999 –> 2000-2012 3.5783826 21374.4124
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9684366 9719.3048 9.339418 1982-1999 –> 2000-2012 3.6251231 21514.3993
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9753004 9735.4214 9.239424 1982-1999 –> 2000-2012 3.6435323 21573.0454
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.0508911 9909.2957 14.348753 1982-1999 –> 2000-2012 3.7846376 21982.8188
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0626276 9935.7160 14.340241 1982-1999 –> 2000-2012 3.8028987 22032.2421
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.1148338 10051.4454 13.664354 1982-1999 –> 2000-2012 3.8857650 22254.9247
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.4642874 5987.8452 19.550203 2000-2012 –> 2013-2019 4.4715881 15797.6725
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.2177259 5716.4932 10.577882 2000-2012 –> 2013-2019 4.1505102 15351.1710
Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.3167718 5828.9576 11.607001 2000-2012 –> 2013-2019 4.5266740 16083.9934
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.3351662 5847.3136 13.611619 2000-2012 –> 2013-2019 4.3122781 15584.9790
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3340849 5848.1214 13.744520 2000-2012 –> 2013-2019 4.2703405 15491.1072
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3301867 5843.8189 13.907665 2000-2012 –> 2013-2019 4.2735578 15503.7881
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3540156 5870.0075 13.884121 2000-2012 –> 2013-2019 4.3224522 15589.3122
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4270934 5948.6992 14.883828 2000-2012 –> 2013-2019 4.5146864 15940.1189
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3578885 5874.2388 13.876581 2000-2012 –> 2013-2019 4.3331890 15609.6602
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.5503058 6076.1608 20.404598 2000-2012 –> 2013-2019 4.6011969 15985.4565
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.3351842 11335.5444 23.531928 1982-1999 –> 2000-2012 4.1307587 25732.1397
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.5508265 11776.6477 15.650128 1982-1999 –> 2000-2012 5.1392465 28797.6686
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.5177324 11711.4321 13.933174 1982-1999 –> 2000-2012 5.1453479 28840.3020
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7833837 12212.3738 21.243153 1982-1999 –> 2000-2012 5.1761193 28669.2869
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.2210980 11085.3993 14.016845 1982-1999 –> 2000-2012 4.0373466 25564.1467
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.8023109 12246.2184 21.814276 1982-1999 –> 2000-2012 5.2463875 28855.4783
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.4583415 11590.2168 14.105424 1982-1999 –> 2000-2012 4.3015537 26172.7141
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.3245022 11312.6475 15.470516 1982-1999 –> 2000-2012 4.1604835 25868.9383
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.3175625 11297.7160 17.497059 1982-1999 –> 2000-2012 4.1483759 25833.7791
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.3794456 11429.3154 10.600622 1982-1999 –> 2000-2012 4.3155238 26366.5458
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.9027549 6787.0163 21.222133 2000-2012 –> 2013-2019 5.2379391 18122.5607
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.1237522 6985.0356 21.378502 2000-2012 –> 2013-2019 5.9681741 19303.7417
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 3.0862675 6952.1260 15.715825 2000-2012 –> 2013-2019 5.6786987 18807.5700
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.0687800 6938.6360 13.971364 2000-2012 –> 2013-2019 5.6196065 18715.2837
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.8793827 6764.9784 17.147392 2000-2012 –> 2013-2019 5.3971151 18476.4106
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8794846 6765.0749 14.381413 2000-2012 –> 2013-2019 5.1005825 17850.4742
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 3.1786481 7032.5254 12.434604 2000-2012 –> 2013-2019 5.6369895 18622.7422
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.8647162 6751.0577 14.467401 2000-2012 –> 2013-2019 5.1892184 18063.7052
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.8693849 6755.4967 17.402553 2000-2012 –> 2013-2019 5.1869474 18053.2127
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.8960243 6780.6882 14.114523 2000-2012 –> 2013-2019 5.2754699 18210.0036
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.7533263 18300.7472 23.371140 1982-1999 –> 2000-2012 5.0930077 41371.8506
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.6183840 17922.8489 22.566940 1982-1999 –> 2000-2012 5.0441617 41361.1807
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6166199 17917.7807 18.949567 1982-1999 –> 2000-2012 4.8633639 40576.9908
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.7533598 18300.8385 23.332200 1982-1999 –> 2000-2012 5.0674789 41260.3055
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6041209 17881.7733 19.658847 1982-1999 –> 2000-2012 4.7997322 40307.0382
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5947071 17854.5397 22.096079 1982-1999 –> 2000-2012 4.7604163 40140.4569
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.7695022 18344.7982 25.302586 1982-1999 –> 2000-2012 5.0753255 41267.7703
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.5969033 17860.9019 21.769808 1982-1999 –> 2000-2012 4.7636531 40151.7007
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.5941074 17852.8013 21.972752 1982-1999 –> 2000-2012 4.7598768 40139.0013
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.6488317 18007.7901 24.114223 1982-1999 –> 2000-2012 4.8209797 40321.8752
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.0487333 10158.7936 19.442507 2000-2012 –> 2013-2019 5.8020597 28459.5408
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.9083839 9970.0906 17.241464 2000-2012 –> 2013-2019 5.5267679 27892.9394
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 3.0011240 10093.7734 14.392043 2000-2012 –> 2013-2019 5.6630459 28138.6349
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0010230 10095.6386 14.411490 2000-2012 –> 2013-2019 5.6176429 28013.4193
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.0524346 10163.6517 18.821953 2000-2012 –> 2013-2019 5.8057944 28464.4902
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0000950 10094.4003 14.405089 2000-2012 –> 2013-2019 5.6042159 27976.1735
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9648162 10047.0373 15.888668 2000-2012 –> 2013-2019 5.5595233 27901.5769
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.9855177 10074.8976 15.644630 2000-2012 –> 2013-2019 5.5824210 27935.7995
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9665985 10049.4436 15.764128 2000-2012 –> 2013-2019 5.5607059 27902.2449
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.1365845 10270.5403 18.803814 2000-2012 –> 2013-2019 5.7854162 28278.3305
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.6297352 4969.3111 13.808272 1982-1999 –> 2000-2012 3.1266819 11091.8820
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5878549 4901.6758 12.822888 1982-1999 –> 2000-2012 3.1163377 11094.1297
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.6475292 4997.5232 14.064811 1982-1999 –> 2000-2012 3.1625198 11160.2570
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.7701030 5183.9584 15.104695 1982-1999 –> 2000-2012 3.3654426 11519.9147
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.7052880 5087.0433 11.194363 1982-1999 –> 2000-2012 3.2193048 11247.6217
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6156555 4946.7689 12.930476 1982-1999 –> 2000-2012 3.1746413 11205.4577
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6610165 5018.7049 13.140037 1982-1999 –> 2000-2012 3.2673240 11377.6273
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.6825097 5052.1068 14.566678 1982-1999 –> 2000-2012 3.2318838 11290.0655
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6571869 5012.7080 13.065690 1982-1999 –> 2000-2012 3.2589745 11362.1850
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6651339 5025.1368 13.155852 1982-1999 –> 2000-2012 3.2750218 11391.5224
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate 1.7695593 2622.4458 14.155406 2000-2012 –> 2013-2019 3.5221502 7778.5735
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.6948421 2567.8449 14.238404 2000-2012 –> 2013-2019 3.3245774 7537.1561
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.7211620 2588.0629 12.043384 2000-2012 –> 2013-2019 3.4294702 7679.7034
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7304708 2595.1396 12.144692 2000-2012 –> 2013-2019 3.3183257 7496.8155
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.7099190 2579.4645 14.474832 2000-2012 –> 2013-2019 3.3574482 7576.9877
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7606499 2617.8234 12.187032 2000-2012 –> 2013-2019 3.3763054 7564.5923
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8117847 2655.3852 12.335194 2000-2012 –> 2013-2019 3.4728013 7674.0901
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.7419292 2603.7985 14.984727 2000-2012 –> 2013-2019 3.4244389 7655.9052
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8065490 2651.5883 12.287919 2000-2012 –> 2013-2019 3.4637358 7664.2963
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8147710 2657.5459 12.344435 2000-2012 –> 2013-2019 3.4799048 7682.6828
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.3571922 6523.9877 38.221026 1982-1999 –> 2000-2012 6.5191234 15325.8033
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.3531154 6522.9792 38.190461 1982-1999 –> 2000-2012 6.5033023 15314.0682
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3547203 6522.1640 37.787209 1982-1999 –> 2000-2012 6.5127716 15319.7804
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.3571873 6525.9841 38.355719 1982-1999 –> 2000-2012 6.3972759 15195.4063
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.3582501 6524.7678 39.373477 1982-1999 –> 2000-2012 6.4297050 15227.2952
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3547202 6524.1639 37.769942 1982-1999 –> 2000-2012 6.4198126 15221.5995
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.9405148 6197.8675 22.293581 1982-1999 –> 2000-2012 6.0055909 14895.2849
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.1041138 6331.9270 23.668814 1982-1999 –> 2000-2012 6.2647677 15134.3608
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.1164452 6339.7437 23.637863 1982-1999 –> 2000-2012 6.2780482 15141.2042
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1015239 6329.8603 23.435647 1982-1999 –> 2000-2012 6.2545453 15124.0252
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.2457955 3690.3594 24.367520 2000-2012 –> 2013-2019 6.6029828 10216.3435
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.4493114 3774.4722 25.312421 2000-2012 –> 2013-2019 6.8075615 10299.2401
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3388618 3730.3890 25.099121 2000-2012 –> 2013-2019 6.6935821 10254.5529
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.2483523 3691.4744 24.437907 2000-2012 –> 2013-2019 6.8230010 10372.8606
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.3332865 3728.0226 24.407223 2000-2012 –> 2013-2019 6.2738014 9925.8900
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3614399 3739.9320 25.280442 2000-2012 –> 2013-2019 6.9337610 10419.7056
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.2533950 3693.6708 24.458701 2000-2012 –> 2013-2019 6.9432161 10453.5737
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.6191946 3844.5491 23.174446 2000-2012 –> 2013-2019 6.7233083 10176.4761
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.6198780 3842.8164 23.176587 2000-2012 –> 2013-2019 6.7363232 10182.5601
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.6162841 3843.4099 23.009079 2000-2012 –> 2013-2019 6.7178080 10173.2702
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.4689163 9988.7768 26.182434 1982-1999 –> 2000-2012 6.8341017 23717.6932
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.5853250 10112.4206 28.611309 1982-1999 –> 2000-2012 6.8777887 23727.5146
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 3.6667041 10194.4960 31.363408 1982-1999 –> 2000-2012 7.1149842 24048.4977
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.6140011 10142.2626 29.378529 1982-1999 –> 2000-2012 6.9296511 23793.9181
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.5218348 10045.4907 24.004911 1982-1999 –> 2000-2012 7.0630981 24040.1196
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.6480587 10177.3989 31.463378 1982-1999 –> 2000-2012 7.0893145 24022.7765
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.5434268 10068.3869 20.829459 1982-1999 –> 2000-2012 7.1567877 24168.0224
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.4406075 9958.0813 25.533003 1982-1999 –> 2000-2012 6.7857579 23655.8869
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3840311 9895.9711 24.001342 1982-1999 –> 2000-2012 6.6687908 23498.8599
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.4359663 9953.0247 25.417433 1982-1999 –> 2000-2012 6.7771577 23644.6605
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.2269764 5112.0728 26.622503 2000-2012 –> 2013-2019 6.6958927 15100.8496
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.1553319 5067.8874 30.199943 2000-2012 –> 2013-2019 6.7406569 15180.3080
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate 3.1653097 5072.1008 31.110480 2000-2012 –> 2013-2019 6.8320137 15266.5968
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.1615128 5071.7387 30.605508 2000-2012 –> 2013-2019 6.7755139 15214.0013
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.2788996 5143.4865 24.102906 2000-2012 –> 2013-2019 6.8007344 15188.9772
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.3363941 5177.6957 25.012098 2000-2012 –> 2013-2019 6.9149484 15283.0356
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.1369169 5056.3682 31.240373 2000-2012 –> 2013-2019 6.7849756 15233.7671
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.2171023 5106.0417 26.266907 2000-2012 –> 2013-2019 6.6577097 15064.1230
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.2118152 5102.8048 25.221935 2000-2012 –> 2013-2019 6.5958463 14998.7759
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.2161937 5105.4858 26.217263 2000-2012 –> 2013-2019 6.6521599 15058.5106
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.1261527 3861.4397 7.172406 1982-1999 –> 2000-2012 2.1570401 8626.4367
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.1424109 3895.3026 7.780828 1982-1999 –> 2000-2012 2.1747704 8662.9775
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1400058 3892.0296 7.508830 1982-1999 –> 2000-2012 2.1717216 8659.6599
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.1306393 3871.3878 7.060483 1982-1999 –> 2000-2012 2.1645726 8646.0562
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1406889 3893.5285 6.982709 1982-1999 –> 2000-2012 2.1810442 8688.4940
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0888369 3777.1296 7.899696 1982-1999 –> 2000-2012 2.1067240 8500.5259
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1473329 3908.0592 7.366582 1982-1999 –> 2000-2012 2.1841723 8691.9281
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.1333456 3877.3694 7.028126 1982-1999 –> 2000-2012 2.1700091 8660.6823
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.1334437 3877.5861 11.814625 1982-1999 –> 2000-2012 2.1779240 8685.5231
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0870369 3772.9900 12.684409 1982-1999 –> 2000-2012 2.1112381 8516.6574
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1.1954364 2228.0655 7.217778 2000-2012 –> 2013-2019 2.3215892 6089.5053
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.2401088 2276.9148 8.299177 2000-2012 –> 2013-2019 2.3825197 6172.2174
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2235483 2260.2814 7.594756 2000-2012 –> 2013-2019 2.3635541 6152.3110
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1.1996518 2232.9442 7.101096 2000-2012 –> 2013-2019 2.3302911 6104.3320
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.2105055 2245.4275 6.979690 2000-2012 –> 2013-2019 2.3511944 6138.9560
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1579193 2183.8706 8.562264 2000-2012 –> 2013-2019 2.2467562 5961.0002
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2310580 2268.7621 7.450137 2000-2012 –> 2013-2019 2.3783909 6176.8213
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1.2015982 2235.1912 7.074159 2000-2012 –> 2013-2019 2.3349438 6112.5606
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2343138 2272.4229 7.428694 2000-2012 –> 2013-2019 2.3857523 6189.4192
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2275125 2264.7647 13.894436 2000-2012 –> 2013-2019 2.3145494 6037.7546
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.8016665 3363.2612 5.502091 1982-1999 –> 2000-2012 1.4884717 7314.4259
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7943969 3337.7911 5.398179 1982-1999 –> 2000-2012 1.4671003 7210.6600
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.8035939 3369.9754 5.412218 1982-1999 –> 2000-2012 1.4935400 7338.3599
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.8057853 3377.5898 5.336769 1982-1999 –> 2000-2012 1.4985105 7361.1456
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7972728 3347.8948 5.317335 1982-1999 –> 2000-2012 1.4740772 7243.7012
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8011440 3361.4382 5.239412 1982-1999 –> 2000-2012 1.4841616 7291.7327
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.8049840 3374.8077 5.364124 1982-1999 –> 2000-2012 1.4977985 7358.8503
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 0.8168537 3413.7344 5.415135 1982-1999 –> 2000-2012 1.5096886 7395.8884
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.8127139 3401.5284 5.436958 1982-1999 –> 2000-2012 1.5031113 7372.3809
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7991765 3354.5633 5.281963 1982-1999 –> 2000-2012 1.4793572 7269.1497
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.8791221 1851.1125 7.088463 2000-2012 –> 2013-2019 1.6807887 5214.3737
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.8792018 1849.2415 7.100581 2000-2012 –> 2013-2019 1.6888190 5238.0959
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8779548 1849.2204 7.088283 2000-2012 –> 2013-2019 1.6723517 5187.0115
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.8844361 1859.6941 6.929086 2000-2012 –> 2013-2019 1.6880300 5229.6695
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 0.8849636 1858.5432 6.958491 2000-2012 –> 2013-2019 1.6942752 5246.3420
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8569972 1814.8160 8.112716 2000-2012 –> 2013-2019 1.6663088 5204.6147
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8845179 1859.8258 6.949110 2000-2012 –> 2013-2019 1.6817907 5207.7206
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8918126 1871.5215 6.848206 2000-2012 –> 2013-2019 1.6929566 5232.9597
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.8870277 1863.8607 6.883116 2000-2012 –> 2013-2019 1.6920117 5238.6684
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8876626 1864.8796 6.919523 2000-2012 –> 2013-2019 1.6868392 5219.4429
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.7064919 4327.8390 11.895695 1982-1999 –> 2000-2012 1.2578151 9047.3433
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.6553990 4025.6171 7.324345 1982-1999 –> 2000-2012 1.1974894 8648.6209
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.6770043 4154.1936 6.501489 1982-1999 –> 2000-2012 1.2437371 9029.2149
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.6531656 4011.8744 7.988766 1982-1999 –> 2000-2012 1.1941366 8623.0669
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.6659083 4087.6614 7.918388 1982-1999 –> 2000-2012 1.2147171 8779.0476
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.6619715 4065.7894 7.245533 1982-1999 –> 2000-2012 1.2104405 8755.6364
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6608030 4058.6769 7.164936 1982-1999 –> 2000-2012 1.2088659 8744.2901
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6658899 4089.5505 7.861172 1982-1999 –> 2000-2012 1.2128558 8763.7158
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.6679281 4101.8544 7.267148 1982-1999 –> 2000-2012 1.2240380 8870.7553
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.5653152 3430.3296 11.957379 1982-1999 –> 2000-2012 0.9934276 6704.5603
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.7371370 2415.6914 5.709911 2000-2012 –> 2013-2019 1.3925360 6441.3085
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.7438009 2433.0944 5.353850 2000-2012 –> 2013-2019 1.4208051 6587.2880
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.7683806 2505.1898 6.201869 2000-2012 –> 2013-2019 1.4642599 6772.0935
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.7354711 2410.8135 6.061562 2000-2012 –> 2013-2019 1.3886368 6422.6879
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.7635202 2489.5089 6.905498 2000-2012 –> 2013-2019 1.4294285 6577.1703
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.7427357 2432.0047 5.656511 2000-2012 –> 2013-2019 1.4047072 6497.7941
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.7400734 2424.2628 5.601071 2000-2012 –> 2013-2019 1.4008765 6482.9398
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.7554349 2468.5561 5.925970 2000-2012 –> 2013-2019 1.4213248 6558.1065
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.7480786 2447.4584 5.678977 2000-2012 –> 2013-2019 1.4160067 6549.3128
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.7024690 2311.8314 11.026909 2000-2012 –> 2013-2019 1.2677842 5742.1610
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 0.3429184 2958.3108 2.037539 1982-1999 –> 2000-2012 0.6478106 5713.4989
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.3391792 2867.6653 2.211193 1982-1999 –> 2000-2012 0.6440319 5623.3136
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.3501288 3134.1416 1.949898 1982-1999 –> 2000-2012 0.6565772 5949.7518
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.3534411 3213.7066 1.988553 1982-1999 –> 2000-2012 0.6596790 6021.1606
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.3255418 2520.8956 2.143799 1982-1999 –> 2000-2012 0.6303960 5276.6069
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.3490030 3108.9287 2.067840 1982-1999 –> 2000-2012 0.6550932 5912.6573
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.3393669 2872.3409 2.206547 1982-1999 –> 2000-2012 0.6442495 5629.1521
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3395940 2877.9930 2.205103 1982-1999 –> 2000-2012 0.6447888 5646.9529
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.3509290 3155.4335 2.134668 1982-1999 –> 2000-2012 0.6570626 5960.8427
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.3379706 2837.5014 2.209241 1982-1999 –> 2000-2012 0.6389390 5440.9641
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 0.3950700 2362.2400 2.495027 2000-2012 –> 2013-2019 0.7379884 5320.5508
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 0.3783565 2157.0140 2.771724 2000-2012 –> 2013-2019 0.7175357 5024.6793
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.4135856 2581.8126 2.572196 2000-2012 –> 2013-2019 0.7637143 5715.9542
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.4165997 2616.6231 2.435991 2000-2012 –> 2013-2019 0.7700408 5830.3298
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 0.3619309 1944.2398 2.679695 2000-2012 –> 2013-2019 0.6874727 4465.1354
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.4134611 2582.3694 2.655486 2000-2012 –> 2013-2019 0.7624641 5691.2982
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 0.3786330 2160.5167 2.768969 2000-2012 –> 2013-2019 0.7179999 5032.8576
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.3788945 2163.8268 2.767863 2000-2012 –> 2013-2019 0.7184885 5041.8198
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.4031930 2461.8100 2.685125 2000-2012 –> 2013-2019 0.7541221 5617.2435
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 0.3777333 2149.1120 2.771424 2000-2012 –> 2013-2019 0.7157039 4986.6135
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5.9368924 35970.5975 33.206006 1982-1999 –> 2000-2012 12.1836597 85952.5079
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.2801597 36600.1682 29.818984 1982-1999 –> 2000-2012 12.8626803 87384.7542
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.2388929 36528.0930 29.366420 1982-1999 –> 2000-2012 12.7725705 87200.2068
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 6.0579613 36197.4241 33.818877 1982-1999 –> 2000-2012 12.4174769 86454.2748
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6.1136918 36300.3175 34.053133 1982-1999 –> 2000-2012 12.5238257 86679.0210
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.4254929 36857.2246 30.208689 1982-1999 –> 2000-2012 13.1429671 87953.7368
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6.2733617 36589.9990 29.675295 1982-1999 –> 2000-2012 12.8523383 87368.3078
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.3773992 36774.8088 29.718986 1982-1999 –> 2000-2012 13.0347184 87735.0625
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.4461499 36895.2887 29.845366 1982-1999 –> 2000-2012 13.1621308 87990.3838
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6.1369641 36343.0072 34.054990 1982-1999 –> 2000-2012 12.5721086 86781.5633
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5.6641426 18718.1540 28.268543 2000-2012 –> 2013-2019 11.6010350 54688.7514
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.9966384 19054.5361 24.645119 2000-2012 –> 2013-2019 12.2767981 55654.7043
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.9243606 18984.6030 23.875073 2000-2012 –> 2013-2019 12.1632535 55512.6960
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5.7682183 18826.1621 29.166503 2000-2012 –> 2013-2019 11.8261796 55023.5862
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.8220861 18881.3024 29.808032 2000-2012 –> 2013-2019 11.9357779 55181.6200
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.9924378 19052.3794 24.457831 2000-2012 –> 2013-2019 12.2657995 55642.3784
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.0470335 19106.1797 24.650519 2000-2012 –> 2013-2019 12.4244327 55880.9886
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5.8363044 18895.7715 29.341398 2000-2012 –> 2013-2019 11.9732685 55238.7787
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.9978940 19055.7781 27.345614 2000-2012 –> 2013-2019 12.4545857 55967.4267
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.9955754 19055.4845 27.200018 2000-2012 –> 2013-2019 12.4477444 55961.2600
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7927579 35691.2601 49.303084 1982-1999 –> 2000-2012 9.3049181 84523.7332
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5539940 35080.7012 44.753312 1982-1999 –> 2000-2012 8.8237082 82991.6211
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.8193739 35757.4283 52.593078 1982-1999 –> 2000-2012 9.2614329 84328.6318
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.8747891 35894.0278 52.864020 1982-1999 –> 2000-2012 9.3529781 84600.3995
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6161138 35242.5790 40.891373 1982-1999 –> 2000-2012 8.9414393 83369.4242
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6965239 35448.9144 39.546419 1982-1999 –> 2000-2012 9.0854971 83819.5071
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7055211 35471.7817 39.423783 1982-1999 –> 2000-2012 9.1078292 83892.9940
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.7716832 35638.6065 48.875067 1982-1999 –> 2000-2012 9.2281132 84263.7057
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.8068077 35726.2342 48.677503 1982-1999 –> 2000-2012 9.2716544 84382.8177
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.8173171 35752.3282 50.897830 1982-1999 –> 2000-2012 9.2892156 84435.2449
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7101464 18793.7275 49.241906 2000-2012 –> 2013-2019 9.5029043 54484.9876
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5800051 18616.4801 45.821666 2000-2012 –> 2013-2019 9.1339991 53697.1812
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.8358192 18960.3009 53.470507 2000-2012 –> 2013-2019 9.6551931 54717.7292
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6574285 18722.5251 39.739545 2000-2012 –> 2013-2019 9.2735423 53965.1042
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.7355004 18827.6881 36.855147 2000-2012 –> 2013-2019 9.4320243 54276.6026
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.7937328 18905.0044 37.001566 2000-2012 –> 2013-2019 9.7285730 54945.3169
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7403369 18834.1457 36.682469 2000-2012 –> 2013-2019 9.4458580 54305.9273
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.6698636 18739.3926 47.180582 2000-2012 –> 2013-2019 9.4415467 54377.9991
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.6921156 18769.4646 45.154919 2000-2012 –> 2013-2019 9.4989234 54495.6988
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.6986388 18778.2532 44.741204 2000-2012 –> 2013-2019 9.5159559 54530.5814
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1452590 28326.4474 26.493351 1982-1999 –> 2000-2012 8.1658465 67308.9901
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.2530081 28580.1873 22.088300 1982-1999 –> 2000-2012 8.3293645 67751.7414
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.1485137 28334.2691 24.516618 1982-1999 –> 2000-2012 8.0907516 67043.9366
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0892195 28190.7985 20.072352 1982-1999 –> 2000-2012 7.9721607 66690.3175
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.2341049 28537.7930 25.656095 1982-1999 –> 2000-2012 8.2293180 67432.5487
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2360966 28542.4799 19.954055 1982-1999 –> 2000-2012 8.2115795 67368.5892
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.2059512 28471.3051 25.457852 1982-1999 –> 2000-2012 8.2380439 67493.4699
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.2220898 28509.4724 24.925265 1982-1999 –> 2000-2012 8.3014092 67693.1018
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.2485213 28571.6678 26.694140 1982-1999 –> 2000-2012 8.3505664 67832.3298
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.1256713 28279.2431 22.364969 1982-1999 –> 2000-2012 8.1263545 67192.9706
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.4130876 15687.1638 29.962138 2000-2012 –> 2013-2019 8.5583466 44013.6111
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5664310 15869.5452 24.381318 2000-2012 –> 2013-2019 8.8194391 44449.7325
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.4410346 15721.2402 29.427373 2000-2012 –> 2013-2019 8.5895482 44055.5092
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4241171 15700.6380 23.915080 2000-2012 –> 2013-2019 8.5133365 43891.4365
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.5233984 15820.4349 30.437028 2000-2012 –> 2013-2019 8.7575033 44358.2280
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5675473 15872.8646 23.790924 2000-2012 –> 2013-2019 8.8036439 44415.3445
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.5305607 15828.9753 33.448696 2000-2012 –> 2013-2019 8.7365118 44300.2804
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.5150845 15810.5044 28.612445 2000-2012 –> 2013-2019 8.7371743 44319.9768
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.5207182 15817.2356 29.839279 2000-2012 –> 2013-2019 8.7692395 44388.9034
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4602774 15744.5790 23.480597 2000-2012 –> 2013-2019 8.5859487 44023.8221
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.6399830 36253.2761 21.107104 1982-1999 –> 2000-2012 8.7548163 84973.7748
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.5564211 36032.2906 19.488465 1982-1999 –> 2000-2012 8.6082499 84489.5474
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.4376747 35708.2772 22.648458 1982-1999 –> 2000-2012 8.2591672 83159.4503
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.4690269 35792.6601 21.903442 1982-1999 –> 2000-2012 8.3066735 83314.3453
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4299290 35686.8420 20.567849 1982-1999 –> 2000-2012 8.2355276 83066.3715
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.6715447 36338.4556 23.249522 1982-1999 –> 2000-2012 8.7291062 84820.0166
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3764564 35537.8328 24.155271 1982-1999 –> 2000-2012 8.1555956 82797.4266
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.4028569 35611.6277 25.049247 1982-1999 –> 2000-2012 8.2702576 83268.0766
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.4147522 35642.7332 25.003944 1982-1999 –> 2000-2012 8.2874817 83320.8516
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.3524014 35470.2051 23.266241 1982-1999 –> 2000-2012 8.1741859 82922.6919
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.9884079 19850.8187 23.486572 2000-2012 –> 2013-2019 9.6283909 56104.0949
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.9202816 19762.6670 21.922013 2000-2012 –> 2013-2019 9.4767028 55794.9576
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.0323654 19908.3367 20.355745 2000-2012 –> 2013-2019 9.6924151 56214.5628
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.8175471 19624.3297 23.952419 2000-2012 –> 2013-2019 9.2552218 55332.6069
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.8557206 19674.0738 23.134484 2000-2012 –> 2013-2019 9.3247475 55466.7339
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.8272468 19637.5164 21.530173 2000-2012 –> 2013-2019 9.2571758 55324.3583
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.7804239 19573.6147 27.468474 2000-2012 –> 2013-2019 9.1568804 55111.4474
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.7954362 19594.1706 28.245574 2000-2012 –> 2013-2019 9.1982931 55205.7983
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.8134874 19616.8027 28.200886 2000-2012 –> 2013-2019 9.2282396 55259.5358
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.7660416 19553.8606 26.508381 2000-2012 –> 2013-2019 9.1184429 55024.0656
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.9305914 43357.6017 50.351419 1982-1999 –> 2000-2012 7.2203802 99277.9211
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.4247843 45196.9766 41.955348 1982-1999 –> 2000-2012 8.1249236 103633.3899
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.4187381 45177.7169 67.557009 1982-1999 –> 2000-2012 8.0709264 103336.7029
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3779276 45033.4517 44.485161 1982-1999 –> 2000-2012 7.9995288 103012.2726
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3906586 45078.5995 51.228310 1982-1999 –> 2000-2012 8.0583032 103328.0536
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.3375956 44889.5506 56.946755 1982-1999 –> 2000-2012 7.9920401 103061.7660
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.0514218 43828.3636 50.913243 1982-1999 –> 2000-2012 7.4402162 100383.8640
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1791804 44311.0866 51.794122 1982-1999 –> 2000-2012 7.6800403 101563.5385
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0073313 43658.2318 33.755013 1982-1999 –> 2000-2012 7.3874781 100158.9966
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.1508034 44205.1545 50.909898 1982-1999 –> 2000-2012 7.6365466 101364.9056
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7950276 24879.7489 41.816601 2000-2012 –> 2013-2019 8.7256190 68237.3506
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.1723556 25508.4330 36.033755 2000-2012 –> 2013-2019 9.5971399 70705.4095
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5.1075748 25405.4960 30.615279 2000-2012 –> 2013-2019 9.5032349 70501.7967
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.1179855 25422.4495 38.508960 2000-2012 –> 2013-2019 9.4959131 70455.9013
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.1786096 25520.4940 46.466105 2000-2012 –> 2013-2019 9.5692682 70599.0935
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 5.2299021 25602.5547 46.590936 2000-2012 –> 2013-2019 9.5674977 70492.1053
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.9214351 25096.3973 40.957099 2000-2012 –> 2013-2019 8.9728569 68924.7609
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5.0612734 25329.6746 41.047414 2000-2012 –> 2013-2019 9.2404538 69640.7612
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5859941 24508.6376 29.369756 2000-2012 –> 2013-2019 8.5933254 68166.8694
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5.0059229 25238.1192 40.194764 2000-2012 –> 2013-2019 9.1567263 69443.2737
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.5442854 39478.2124 33.119042 1982-1999 –> 2000-2012 6.5214925 89007.9965
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.3889124 38819.1582 31.254342 1982-1999 –> 2000-2012 6.2605296 87636.5589
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.3410751 38610.1487 32.628605 1982-1999 –> 2000-2012 6.1643125 87092.3486
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6005006 39709.5681 33.071824 1982-1999 –> 2000-2012 6.5718587 89200.5563
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.3436439 38621.4480 32.021059 1982-1999 –> 2000-2012 6.1620863 87070.1131
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5414587 39466.4822 33.401271 1982-1999 –> 2000-2012 6.4799341 88737.9332
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5702464 39585.5086 33.491300 1982-1999 –> 2000-2012 6.5347769 89031.1136
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5492843 39498.9338 33.569547 1982-1999 –> 2000-2012 6.5016885 88863.6767
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.5588061 39538.3224 33.535467 1982-1999 –> 2000-2012 6.5436913 89118.9192
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3267764 38547.0941 33.862527 1982-1999 –> 2000-2012 6.1814837 87247.9800
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1080923 22153.7731 31.032474 2000-2012 –> 2013-2019 7.6523777 61631.9855
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.9123560 21772.1059 30.927140 2000-2012 –> 2013-2019 7.3012683 60591.2641
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.8645078 21675.9023 31.423341 2000-2012 –> 2013-2019 7.2055829 60286.0510
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.8703544 21687.7212 30.480276 2000-2012 –> 2013-2019 7.2139983 60309.1692
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1032514 22144.5551 33.161694 2000-2012 –> 2013-2019 7.6447101 61611.0373
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.1338823 22202.6998 33.279262 2000-2012 –> 2013-2019 7.7041287 61788.2084
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.9472663 21841.5573 35.267815 2000-2012 –> 2013-2019 7.4434747 61118.9773
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1066786 22151.0822 33.387214 2000-2012 –> 2013-2019 7.6559629 61650.0160
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.1296917 22194.7707 31.548038 2000-2012 –> 2013-2019 7.6884978 61733.0931
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7917291 21527.2650 33.525325 2000-2012 –> 2013-2019 7.1185055 60074.3591
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.1665684 40099.8982 25.053065 1982-1999 –> 2000-2012 5.4126159 87960.3441
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1083250 39810.5151 10.089971 1982-1999 –> 2000-2012 5.3835324 87947.9588
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.2030143 40278.2850 27.492704 1982-1999 –> 2000-2012 5.4567943 88212.5332
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.0654649 39594.0798 11.583687 1982-1999 –> 2000-2012 5.5343465 89485.8209
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0515401 39523.1104 9.456817 1982-1999 –> 2000-2012 5.2990528 87397.5594
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.0584885 39558.5637 9.504795 1982-1999 –> 2000-2012 5.3187867 87554.8273
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.0046011 39281.4712 13.392647 1982-1999 –> 2000-2012 5.3074291 87678.0356
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.2472499 40492.0922 24.685745 1982-1999 –> 2000-2012 5.5601714 88982.5727
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.0631121 39580.1107 12.814094 1982-1999 –> 2000-2012 5.3715286 88026.7251
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0476098 39503.0203 9.397780 1982-1999 –> 2000-2012 5.3021483 87444.4940
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.8192180 22797.6918 27.801018 2000-2012 –> 2013-2019 6.9857864 62897.5899
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6620606 22450.6932 12.124587 2000-2012 –> 2013-2019 6.7703856 62261.2083
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.8818899 22932.1024 31.052591 2000-2012 –> 2013-2019 7.0849041 63210.3874
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.5489940 22191.7072 10.708006 2000-2012 –> 2013-2019 6.6144589 61785.7870
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.5990796 22305.4345 10.796496 2000-2012 –> 2013-2019 6.7027833 62090.7573
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5857892 22276.8837 11.095529 2000-2012 –> 2013-2019 6.6373294 61799.9940
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5893554 22285.0923 11.103375 2000-2012 –> 2013-2019 6.6478438 61843.6560
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.5746374 22251.1613 18.422838 2000-2012 –> 2013-2019 6.5792385 61532.6325
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.6764968 22481.1829 17.935126 2000-2012 –> 2013-2019 6.7396089 62061.2936
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5747323 22251.3804 10.907617 2000-2012 –> 2013-2019 6.6223421 61754.4007
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.6504485 15740.3948 24.213892 1982-1999 –> 2000-2012 4.7358147 34954.1082
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6639007 15771.6562 22.864245 1982-1999 –> 2000-2012 4.7506750 34989.3863
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6510177 15741.8056 24.056369 1982-1999 –> 2000-2012 4.7356239 34952.2697
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6593461 15762.4135 23.912453 1982-1999 –> 2000-2012 4.7528486 35010.8379
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6573761 15757.5448 23.706051 1982-1999 –> 2000-2012 4.7545379 35021.5368
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.6467606 15731.2467 24.736227 1982-1999 –> 2000-2012 4.7461667 35004.7731
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6561934 15754.6200 23.637730 1982-1999 –> 2000-2012 4.7537252 35020.1848
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.6622908 15769.6846 23.974496 1982-1999 –> 2000-2012 4.7569277 35022.9376
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.6591998 15762.0521 23.846206 1982-1999 –> 2000-2012 4.7566374 35027.2164
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5894484 15587.4191 22.616594 1982-1999 –> 2000-2012 4.6493209 34691.4864
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.0936033 9345.7832 29.853716 2000-2012 –> 2013-2019 5.7603757 25126.5181
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.0795402 9329.0983 30.362926 2000-2012 –> 2013-2019 5.7305656 25070.9231
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1032714 9357.2099 28.842289 2000-2012 –> 2013-2019 5.7542891 25099.0156
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.0804742 9330.2088 30.042474 2000-2012 –> 2013-2019 5.7311364 25071.1335
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.0828431 9331.0238 29.216505 2000-2012 –> 2013-2019 5.7338757 25070.8666
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0203461 9258.0230 31.461684 2000-2012 –> 2013-2019 5.6798281 25020.7723
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.1060122 9360.4427 28.288842 2000-2012 –> 2013-2019 5.7633883 25117.9875
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.0827974 9332.9695 29.138730 2000-2012 –> 2013-2019 5.7295579 25064.2162
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1047122 9358.9097 28.180344 2000-2012 –> 2013-2019 5.7609056 25113.5296
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0638417 9310.3829 25.606619 2000-2012 –> 2013-2019 5.6532901 24897.8020
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2.7317430 19630.8718 30.448131 1982-1999 –> 2000-2012 4.8397490 43766.0770
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.7317138 19632.7852 30.486796 1982-1999 –> 2000-2012 4.8293185 43714.8680
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.7303819 19628.8379 30.684630 1982-1999 –> 2000-2012 4.8383878 43766.0425
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.7412557 19661.0083 30.769654 1982-1999 –> 2000-2012 4.8567535 43837.7489
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.7415351 19661.8334 30.696421 1982-1999 –> 2000-2012 4.8598924 43853.6270
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate 2.7442058 19667.7144 30.431636 1982-1999 –> 2000-2012 4.8598788 43843.3775
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.6861213 19496.5559 29.464719 1982-1999 –> 2000-2012 4.7804696 43561.3244
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.7441833 19669.6481 30.398840 1982-1999 –> 2000-2012 4.8515840 43803.6525
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.7460735 19675.2212 30.486126 1982-1999 –> 2000-2012 4.8570747 43828.2496
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.7444919 19670.5582 30.323963 1982-1999 –> 2000-2012 4.8553753 43822.9643
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.1010959 10939.1735 36.520392 2000-2012 –> 2013-2019 5.8328389 30570.0453
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.0878252 10922.8015 35.774533 2000-2012 –> 2013-2019 5.8195390 30555.5866
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.0796600 10911.4581 37.635204 2000-2012 –> 2013-2019 5.8100419 30540.2960
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.0939532 10931.2948 37.656598 2000-2012 –> 2013-2019 5.8352088 30592.3031
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0413356 10857.8121 41.543177 2000-2012 –> 2013-2019 5.8221417 30634.7650
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.0922160 10928.8888 37.488990 2000-2012 –> 2013-2019 5.8337511 30590.7222
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3.0890477 10924.4972 37.952627 2000-2012 –> 2013-2019 5.8308982 30587.2615
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.9947627 10791.7023 34.855268 2000-2012 –> 2013-2019 5.6808840 30288.2582
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.0546560 10874.5340 40.601759 2000-2012 –> 2013-2019 5.8355436 30649.7242
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0518298 10872.5687 40.735383 2000-2012 –> 2013-2019 5.8140473 30595.2345
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.2143379 17725.1356 8.493771 1982-1999 –> 2000-2012 4.2244267 41531.3014
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2539713 17867.0577 8.649145 1982-1999 –> 2000-2012 4.2188053 41417.3211
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.2426483 17826.7679 8.852835 1982-1999 –> 2000-2012 4.1979448 41322.3483
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2586209 17883.5434 8.671942 1982-1999 –> 2000-2012 4.2267749 41452.7800
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2587157 17883.8792 8.665561 1982-1999 –> 2000-2012 4.2277417 41458.0938
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 2.2436028 17828.1719 8.852520 1982-1999 –> 2000-2012 4.2347576 41525.9800
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2.2006015 17675.3541 8.412618 1982-1999 –> 2000-2012 4.1917126 41374.9155
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.2419974 17824.4454 8.822692 1982-1999 –> 2000-2012 4.2017336 41345.5145
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2584202 17882.8325 8.669948 1982-1999 –> 2000-2012 4.2270436 41454.7490
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.2544584 17868.7863 8.194285 1982-1999 –> 2000-2012 4.2163154 41402.0101
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.4018705 10163.3140 8.344860 2000-2012 –> 2013-2019 4.6534096 28021.7346
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate_star 2.4029551 10163.3105 8.501463 2000-2012 –> 2013-2019 4.6574030 28030.0593
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.3842351 10130.7263 8.366988 2000-2012 –> 2013-2019 4.5985730 27855.8620
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.4004597 10160.7159 8.354171 2000-2012 –> 2013-2019 4.6502902 28013.0633
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.4016759 10162.9558 8.333752 2000-2012 –> 2013-2019 4.6527983 28019.8955
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate 2.4073935 10171.4706 8.183038 2000-2012 –> 2013-2019 4.6576693 28023.4009
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.4005422 10160.8678 8.352003 2000-2012 –> 2013-2019 4.6503416 28013.1045
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2.3815966 10125.8301 8.213024 2000-2012 –> 2013-2019 4.5821981 27801.1842
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.4526233 10255.7797 8.813300 2000-2012 –> 2013-2019 4.6946206 28080.2251
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.4590057 10267.2720 8.013161 2000-2012 –> 2013-2019 4.7134641 28136.0583
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.9234545 10715.1425 8.622689 1982-1999 –> 2000-2012 3.5435724 25039.3611
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.9234948 10713.2506 8.647099 1982-1999 –> 2000-2012 3.5598308 25110.4332
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8928438 10632.3315 8.764850 1982-1999 –> 2000-2012 3.5243069 25009.0683
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate 1.9284336 10726.4877 8.692024 1982-1999 –> 2000-2012 3.5588480 25096.3855
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.9170418 10697.9040 8.591907 1982-1999 –> 2000-2012 3.5417232 25043.2913
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8951875 10638.7192 8.767010 1982-1999 –> 2000-2012 3.5273132 25018.5120
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8958513 10640.5267 8.767085 1982-1999 –> 2000-2012 3.5288463 25024.3270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1.8937925 10634.9181 8.963692 1982-1999 –> 2000-2012 3.5172269 24974.5267
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.9072203 10671.3898 8.712059 1982-1999 –> 2000-2012 3.5597902 25144.8684
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8951582 10638.6392 8.762353 1982-1999 –> 2000-2012 3.5277325 25020.5004
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.0709455 6313.1331 8.713211 2000-2012 –> 2013-2019 3.9979404 17037.7684
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0594409 6296.7886 8.802893 2000-2012 –> 2013-2019 3.9522847 16929.1201
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2.0711088 6313.3645 8.505515 2000-2012 –> 2013-2019 3.9881507 17011.2686
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.0728445 6313.8223 8.661407 2000-2012 –> 2013-2019 3.9907842 17012.1434
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.0619981 6300.4294 8.794721 2000-2012 –> 2013-2019 3.9698425 16973.5081
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate 2.0621507 6298.6466 8.806887 2000-2012 –> 2013-2019 3.9888742 17020.5547
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0621501 6300.6457 8.807529 2000-2012 –> 2013-2019 3.9573376 16939.3649
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0621491 6300.6443 8.805830 2000-2012 –> 2013-2019 3.9580004 16941.1710
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.0624051 6301.0085 8.735205 2000-2012 –> 2013-2019 3.9696254 16972.3983
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0613801 6299.5499 8.800503 2000-2012 –> 2013-2019 3.9565382 16938.1891
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate 1.5361773 73634.6174 8.733378 1982-1999 –> 2000-2012 2.8079755 165389.8842
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.5089135 72923.3001 10.415983 1982-1999 –> 2000-2012 2.7513833 163390.6644
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.3948961 69793.5465 10.490447 1982-1999 –> 2000-2012 2.5772322 157518.1298
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.4354153 70934.1635 8.449386 1982-1999 –> 2000-2012 2.6823797 161601.1701
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5314928 73514.9585 14.185354 1982-1999 –> 2000-2012 2.8636804 167837.0700
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5281199 73427.1334 14.378394 1982-1999 –> 2000-2012 2.8513606 167376.6806
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5314910 73514.9130 14.185270 1982-1999 –> 2000-2012 2.8636761 167836.9173
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.5143319 73066.0856 10.220413 1982-1999 –> 2000-2012 2.7611966 163728.6687
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.5308210 73497.4825 10.138151 1982-1999 –> 2000-2012 2.7926269 164818.6463
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.5184453 73174.1397 10.078924 1982-1999 –> 2000-2012 2.7707584 164077.7898
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.7716198 42649.6756 20.936949 2000-2012 –> 2013-2019 3.2805333 115572.9757
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1.6072486 40564.3886 17.629482 2000-2012 –> 2013-2019 3.0021447 110357.9351
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7314864 42158.9485 16.581456 2000-2012 –> 2013-2019 3.2626842 115666.2325
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1.6318563 40889.7931 17.025774 2000-2012 –> 2013-2019 3.0672716 111823.9566
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7317874 42162.6704 16.576870 2000-2012 –> 2013-2019 3.2630874 115672.6150
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.7322153 42167.9616 16.575055 2000-2012 –> 2013-2019 3.2637081 115682.9201
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1.7038406 41814.2505 16.464704 2000-2012 –> 2013-2019 3.2660027 116119.0319
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.7344727 42195.8521 17.075855 2000-2012 –> 2013-2019 3.2625926 115622.9856
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.7322017 42167.7935 16.574226 2000-2012 –> 2013-2019 3.2636927 115682.7065
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7349951 42200.3016 16.913655 2000-2012 –> 2013-2019 3.2667617 115720.3823

5.3 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)

5.4 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)

5.5 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 5).

6.1.1 All models

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

Version Author Date
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
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
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
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)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 9 4 8 7 10 3 7
(26,26.5] 8 6 6 6 10 5 8
(26.5,26.75] 9 4 8 7 5 10 6
(26.75,27] 9 3 8 7 4 10 7
(27,27.25] 8 5 8 6 6 10 6
(27.25,27.5] 9 8 6 5 5 10 6
(27.5,27.75] 6 5 7 7 10 7 7
(27.75,27.85] 7 5 7 8 10 5 8
(27.85,27.95] 10 4 10 10 4 4 4
(27.95,28.05] 6 10 8 6 5 8 6
(28.05,28.1] 9 5 9 8 8 3 7
(28.1,28.15] 6 6 6 8 10 5 8
(28.15,28.2] 9 10 5 7 8 3 6
(28.2, Inf] 9 10 5 5 10 4 4
total 114.00 85.00 101.00 97.00 105.00 87.00 90.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 5 7 7 10 5 8
(26,26.5] 8 6 6 6 10 5 8
(26.5,26.75] 9 4 8 6 6 10 6
(26.75,27] 9 3 9 6 6 10 5
(27,27.25] 8 5 7 6 8 10 5
(27.25,27.5] 9 10 4 5 4 10 5
(27.5,27.75] 7 4 7 6 10 8 6
(27.75,27.85] 7 6 8 6 10 6 6
(27.85,27.95] 9 4 10 8 7 3 7
(27.95,28.05] 5 10 8 6 6 8 6
(28.05,28.1] 8 4 9 8 9 4 7
(28.1,28.15] 8 3 9 7 10 4 7
(28.15,28.2] 9 10 5 6 9 3 6
(28.2, Inf] 9 10 5 5 10 4 4
total 113.00 84.00 102.00 88.00 115.00 90.00 86.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 9 4 8 7 10 3 7
(26,26.5] 8 6 7 7 6 8 8
(26.5,26.75] 9 6 9 7 5 7 6
(26.75,27] 10 5 10 9 5 3 5
(27,27.25] 9 6 9 9 3 7 6
(27.25,27.5] 8 5 8 7 7 10 5
(27.5,27.75] 5 5 6 6 10 10 7
(27.75,27.85] 8 4 7 8 5 10 7
(27.85,27.95] 8 10 9 7 3 4 7
(27.95,28.05] 6 5 5 6 9 10 8
(28.05,28.1] 5 5 8 5 10 10 5
(28.1, Inf] 6 8 7 7 5 10 6
total 91.00 69.00 93.00 85.00 78.00 92.00 77.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 6 7 8 10 3 7
(26,26.5] 7 6 7 7 6 9 8
(26.5,26.75] 9 6 9 7 5 7 6
(26.75,27] 10 4 10 10 4 4 4
(27,27.25] 9 6 9 8 3 8 6
(27.25,27.5] 7 6 8 6 7 10 6
(27.5,27.75] 6 4 6 5 10 10 7
(27.75,27.85] 6 5 6 9 9 9 5
(27.85,27.95] 8 7 10 8 5 3 7
(27.95,28.05] 6 9 6 7 9 4 7
(28.05,28.1] 6 4 5 7 10 10 6
(28.1, Inf] 5 5 7 7 9 10 6
total 86.00 68.00 90.00 89.00 87.00 87.00 75.00

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
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
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.3      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

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