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1 Required data

Required are:

  • cleaned and prepared GLODAPv2_2020 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)

# extract diagnostics of each linear model
lm_all <- as_tibble(lm_all$result)

# 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 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 adjecent 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 ~ aou + nitrate + silicate + phosphate + phosphate_star 4.343218 383.6069 12.422662 1982-1999 –> 2000-2012 9.864648 810.4469
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.124834 377.0034 9.416564 1982-1999 –> 2000-2012 9.496066 800.2029
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.217151 379.8366 10.174568 1982-1999 –> 2000-2012 9.565872 802.4817
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.227665 380.1553 10.258112 1982-1999 –> 2000-2012 9.571632 802.6830
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.234528 380.3629 11.624385 1982-1999 –> 2000-2012 9.774708 807.6504
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.270554 381.4473 10.472828 1982-1999 –> 2000-2012 9.600620 803.6312
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.415220 385.7115 11.891414 1982-1999 –> 2000-2012 9.702328 806.8272
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.332981 383.3049 12.056199 1982-1999 –> 2000-2012 9.804220 808.9394
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.330828 383.2412 11.949262 1982-1999 –> 2000-2012 9.780734 808.3601
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.327282 383.1364 11.528912 1982-1999 –> 2000-2012 9.736269 807.2605
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.488854 251.7376 5.844670 2000-2012 –> 2013-2019 6.832072 635.3445
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.442100 249.8033 6.051023 2000-2012 –> 2013-2019 6.566934 626.8067
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.593246 255.9286 6.664827 2000-2012 –> 2013-2019 6.889587 638.1465
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.443954 249.8807 6.055256 2000-2012 –> 2013-2019 6.661105 629.7173
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.444633 249.9090 6.056438 2000-2012 –> 2013-2019 6.672298 630.0643
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.537048 253.6939 6.469625 2000-2012 –> 2013-2019 6.771576 634.0568
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.445180 249.9319 6.058342 2000-2012 –> 2013-2019 6.715734 631.3792
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.486779 251.6525 5.846323 2000-2012 –> 2013-2019 6.819759 634.9574
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.485315 251.5925 5.849299 2000-2012 –> 2013-2019 6.816143 634.8337
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.484041 251.5402 5.850667 2000-2012 –> 2013-2019 6.811323 634.6766
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.696187 3808.0826 20.125986 1982-1999 –> 2000-2012 9.241121 6336.5551
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.690301 3808.4771 19.932298 1982-1999 –> 2000-2012 9.228033 6337.5891
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.612231 3786.9922 19.234929 1982-1999 –> 2000-2012 9.155192 6317.0923
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.706475 3812.8834 19.351356 1982-1999 –> 2000-2012 9.296320 6351.7928
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.827835 3845.4710 21.119069 1982-1999 –> 2000-2012 9.292969 6360.7450
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 4.747725 3822.0531 20.000973 1982-1999 –> 2000-2012 9.339015 6359.2326
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.642090 3795.2522 20.471081 1982-1999 –> 2000-2012 9.071161 6303.5683
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.742323 3822.5960 19.815481 1982-1999 –> 2000-2012 9.327985 6360.7231
Atlantic (26,26.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.831512 3844.4456 21.048837 1982-1999 –> 2000-2012 9.299088 6358.1886
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.812054 3841.2800 20.685109 1982-1999 –> 2000-2012 9.258607 6352.9761
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2.908404 588.8779 11.168501 2000-2012 –> 2013-2019 7.604591 4396.9606
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.904637 590.5773 11.181093 2000-2012 –> 2013-2019 7.594938 4399.0544
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.889515 589.3663 11.103635 2000-2012 –> 2013-2019 7.501746 4376.3585
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.890609 589.4541 11.122789 2000-2012 –> 2013-2019 7.597083 4402.3375
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.892491 589.6051 11.134144 2000-2012 –> 2013-2019 7.627153 4410.1316
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2.893445 589.6816 11.132523 2000-2012 –> 2013-2019 7.679055 4423.9083
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 2.913532 589.2866 11.182714 2000-2012 –> 2013-2019 7.661256 4411.3398
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.904944 590.6018 11.129017 2000-2012 –> 2013-2019 7.547034 4385.8541
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.910252 591.0254 11.193792 2000-2012 –> 2013-2019 7.652575 4413.6213
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.915628 591.4535 11.211898 2000-2012 –> 2013-2019 7.687180 4421.9143
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.061592 5231.9499 14.705002 1982-1999 –> 2000-2012 8.044964 8915.3480
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.040738 5222.4270 15.129323 1982-1999 –> 2000-2012 7.986972 8893.5540
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.081899 5241.1764 18.490530 1982-1999 –> 2000-2012 7.883150 8863.2685
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.063369 5232.7594 17.206827 1982-1999 –> 2000-2012 8.004200 8902.0919
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.037688 5221.0300 17.596824 1982-1999 –> 2000-2012 7.943895 8878.8019
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.031630 5218.2523 15.185164 1982-1999 –> 2000-2012 7.966283 8885.5296
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.033448 5219.0863 17.672754 1982-1999 –> 2000-2012 7.930873 8873.9100
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.127235 5261.6104 18.565751 1982-1999 –> 2000-2012 7.983030 8902.3662
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.134764 5262.9820 19.015818 1982-1999 –> 2000-2012 7.998368 8904.3881
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.061924 5232.1015 19.342211 1982-1999 –> 2000-2012 7.907782 8869.4765
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.043770 545.7275 9.347043 2000-2012 –> 2013-2019 7.105362 5777.6774
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.040802 545.5226 9.364903 2000-2012 –> 2013-2019 7.081541 5767.9496
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.053802 546.4185 9.412743 2000-2012 –> 2013-2019 7.135701 5787.5948
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.030025 544.7770 8.964322 2000-2012 –> 2013-2019 7.093395 5777.5364
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.025735 544.4794 8.961581 2000-2012 –> 2013-2019 7.063423 5765.5094
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.040889 545.5285 9.365040 2000-2012 –> 2013-2019 7.072519 5763.7809
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.022903 544.2828 9.012846 2000-2012 –> 2013-2019 7.135503 5799.3214
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.025633 544.4723 8.963442 2000-2012 –> 2013-2019 7.059081 5763.5587
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.053637 546.4071 9.369547 2000-2012 –> 2013-2019 7.115562 5778.5086
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.054302 546.4528 9.304833 2000-2012 –> 2013-2019 7.158904 5797.8902
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.374241 6162.2825 31.527331 1982-1999 –> 2000-2012 8.613526 10454.1021
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.344144 6147.6177 30.960650 1982-1999 –> 2000-2012 8.624163 10453.7242
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.322967 6137.2384 30.908609 1982-1999 –> 2000-2012 8.595717 10440.8054
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.374919 6162.6117 31.557147 1982-1999 –> 2000-2012 8.614765 10454.6289
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.325625 6138.5435 30.937998 1982-1999 –> 2000-2012 8.555339 10426.9866
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.322593 6137.0543 30.897002 1982-1999 –> 2000-2012 8.595914 10440.8211
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.384669 6167.3400 30.875348 1982-1999 –> 2000-2012 8.625726 10459.7839
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.376068 6163.1694 30.589867 1982-1999 –> 2000-2012 8.616343 10455.3381
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.361348 6156.0128 30.418410 1982-1999 –> 2000-2012 8.583514 10441.7874
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.361597 6156.1339 30.426745 1982-1999 –> 2000-2012 8.584808 10442.2780
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.837265 1279.7739 15.257528 2000-2012 –> 2013-2019 8.181409 7427.3917
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.836581 1279.6922 14.936786 2000-2012 –> 2013-2019 8.159548 7416.9306
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.842367 1280.3824 15.184281 2000-2012 –> 2013-2019 8.167992 7418.9260
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.836759 1279.7134 14.910497 2000-2012 –> 2013-2019 8.159351 7416.7677
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.839516 1280.0425 15.307586 2000-2012 –> 2013-2019 8.200864 7436.0553
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.841551 1280.2851 15.395509 2000-2012 –> 2013-2019 8.204070 7436.8682
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 3.841728 1278.3063 15.307777 2000-2012 –> 2013-2019 8.205389 7433.4451
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.839580 1280.0502 15.292766 2000-2012 –> 2013-2019 8.201177 7436.1841
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.842576 1278.4074 15.263410 2000-2012 –> 2013-2019 8.205101 7432.9930
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.841850 1278.3207 15.281035 2000-2012 –> 2013-2019 8.205445 7433.4277
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.693952 9022.3186 31.765214 1982-1999 –> 2000-2012 9.486084 16232.3708
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.750391 9058.6286 30.735247 1982-1999 –> 2000-2012 9.488013 16241.1105
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.718429 9038.1188 31.925436 1982-1999 –> 2000-2012 9.529614 16257.7344
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.803586 9092.4592 30.352368 1982-1999 –> 2000-2012 9.514398 16261.2645
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.753722 9060.7582 30.757132 1982-1999 –> 2000-2012 9.489823 16242.4663
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.656160 8997.7595 31.134296 1982-1999 –> 2000-2012 9.382040 16174.2613
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.704901 9027.3965 32.041844 1982-1999 –> 2000-2012 9.499210 16236.5438
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.733550 9047.8391 31.862838 1982-1999 –> 2000-2012 9.490329 16240.0468
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.649161 8993.1898 31.312689 1982-1999 –> 2000-2012 9.345983 16154.8270
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.668428 9005.7536 31.386554 1982-1999 –> 2000-2012 9.376659 16173.2383
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.861773 2360.2673 35.074554 2000-2012 –> 2013-2019 9.744499 11502.3702
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.020053 2385.3204 37.834652 2000-2012 –> 2013-2019 9.828158 11480.6363
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.050257 2390.0114 38.100063 2000-2012 –> 2013-2019 9.800648 11448.6399
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.024796 2386.0589 37.867673 2000-2012 –> 2013-2019 9.828382 11478.5180
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.051369 2390.1835 38.112378 2000-2012 –> 2013-2019 9.805091 11450.9418
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.984052 2379.6921 33.126814 2000-2012 –> 2013-2019 9.640212 11377.4517
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.869252 2361.4693 35.064283 2000-2012 –> 2013-2019 9.602802 11409.3084
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.901590 2366.6455 35.388244 2000-2012 –> 2013-2019 9.550751 11359.8353
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.982935 2379.5168 34.628381 2000-2012 –> 2013-2019 9.733591 11438.3150
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.887275 2364.3584 35.208068 2000-2012 –> 2013-2019 9.555703 11370.1121
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.192518 11434.3690 24.740118 1982-1999 –> 2000-2012 8.535665 21421.9243
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.163498 11406.5577 24.550054 1982-1999 –> 2000-2012 8.467499 21362.8402
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.193307 11435.1224 24.848408 1982-1999 –> 2000-2012 8.567046 21446.9218
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate_star 4.193718 11433.5150 24.869021 1982-1999 –> 2000-2012 8.581388 21454.2980
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.193176 11434.9980 24.983022 1982-1999 –> 2000-2012 8.580826 21457.7650
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.171263 11414.0183 24.642138 1982-1999 –> 2000-2012 8.487502 21380.1077
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 4.196565 11436.2327 24.909448 1982-1999 –> 2000-2012 8.587778 21459.8037
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.196218 11437.9013 25.001040 1982-1999 –> 2000-2012 8.587427 21463.4693
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.225016 11465.2866 24.496269 1982-1999 –> 2000-2012 8.555555 21442.7999
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.227250 11467.4024 24.557684 1982-1999 –> 2000-2012 8.571096 21455.5137
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.811742 1988.0298 17.566507 2000-2012 –> 2013-2019 8.086739 13500.4047
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.794971 1984.8726 15.853060 2000-2012 –> 2013-2019 8.044230 13473.0672
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.834534 1992.2983 16.905224 2000-2012 –> 2013-2019 8.027052 13426.6673
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.929289 2009.7762 18.285809 2000-2012 –> 2013-2019 8.092787 13416.3339
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.654555 1957.8776 16.591168 2000-2012 –> 2013-2019 7.847862 13393.0000
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.874899 1999.7960 17.424656 2000-2012 –> 2013-2019 8.046162 13413.8143
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.513519 1929.6986 15.460358 2000-2012 –> 2013-2019 7.781737 13435.7182
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.854942 1996.0989 18.478039 2000-2012 –> 2013-2019 8.097401 13477.8814
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.655393 1956.0418 16.667323 2000-2012 –> 2013-2019 7.942226 13477.4864
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.519059 1930.8267 15.765056 2000-2012 –> 2013-2019 7.778224 13428.3455
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.194897 12714.6979 31.367475 1982-1999 –> 2000-2012 8.156924 21166.1036
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.195311 12715.1380 29.162386 1982-1999 –> 2000-2012 8.224762 21217.4703
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.191797 12711.4070 28.958615 1982-1999 –> 2000-2012 8.211109 21206.1354
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.206538 12727.0356 28.624341 1982-1999 –> 2000-2012 8.213627 21212.5720
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.194758 12714.5503 28.815582 1982-1999 –> 2000-2012 8.204521 21202.1010
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.194279 12714.0427 31.334817 1982-1999 –> 2000-2012 8.148816 21159.7372
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.216076 12737.1189 30.929970 1982-1999 –> 2000-2012 8.173792 21185.2384
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.207119 12727.6507 30.464471 1982-1999 –> 2000-2012 8.231140 21225.9129
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.198713 12718.7466 31.222885 1982-1999 –> 2000-2012 8.152230 21163.6621
Atlantic (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.211226 12729.9944 30.354736 1982-1999 –> 2000-2012 8.235753 21226.6360
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate 4.855472 2405.2377 28.842192 2000-2012 –> 2013-2019 9.152314 15224.8357
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.828179 2402.7394 30.972880 2000-2012 –> 2013-2019 9.023075 15117.4373
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.847375 2405.9059 30.226613 2000-2012 –> 2013-2019 9.101168 15182.6757
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.005748 2431.5612 31.191586 2000-2012 –> 2013-2019 9.201059 15146.6992
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.006916 2431.7475 31.195580 2000-2012 –> 2013-2019 9.198713 15143.1544
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.009874 2432.2188 31.199715 2000-2012 –> 2013-2019 9.204632 15146.7691
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.830664 2403.1501 30.857282 2000-2012 –> 2013-2019 9.024943 15117.1928
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.855797 2407.2912 30.699080 2000-2012 –> 2013-2019 9.071873 15144.4101
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5.008546 2432.0071 31.743033 2000-2012 –> 2013-2019 9.215665 15159.6578
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.835011 2403.8679 30.804111 2000-2012 –> 2013-2019 9.033724 15122.6145
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.375414 8588.8116 27.635097 1982-1999 –> 2000-2012 8.524261 13024.6040
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.402563 8607.1335 28.240808 1982-1999 –> 2000-2012 8.633154 13073.2856
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 4.390365 8596.9154 27.632033 1982-1999 –> 2000-2012 8.571573 13042.7978
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.372821 8587.0555 27.846429 1982-1999 –> 2000-2012 8.548695 13032.9516
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4.356363 8575.8860 27.793819 1982-1999 –> 2000-2012 8.514529 13015.1698
Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.373762 8585.6925 27.801281 1982-1999 –> 2000-2012 8.562628 13034.4224
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.376043 8589.2374 27.907381 1982-1999 –> 2000-2012 8.553841 13035.8499
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.370300 8585.3477 27.689191 1982-1999 –> 2000-2012 8.539319 13028.6870
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.373401 8587.4480 27.843269 1982-1999 –> 2000-2012 8.545773 13032.0386
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.389055 8598.0311 27.410235 1982-1999 –> 2000-2012 8.626086 13066.5503
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 7.980122 1349.4308 48.459855 2000-2012 –> 2013-2019 12.355537 9938.2424
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 7.993803 1350.0851 48.617264 2000-2012 –> 2013-2019 12.396366 9957.2187
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 8.004179 1348.5807 48.695786 2000-2012 –> 2013-2019 12.394545 9945.4961
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8.002147 1350.4837 48.750417 2000-2012 –> 2013-2019 12.374968 9937.5392
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 7.979001 1349.3772 48.455790 2000-2012 –> 2013-2019 12.335364 9925.2632
Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 8.003293 1348.5384 48.684182 2000-2012 –> 2013-2019 12.377054 9934.2309
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 8.001736 1350.4641 48.760407 2000-2012 –> 2013-2019 12.377779 9939.7015
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8.004370 1350.5898 48.743925 2000-2012 –> 2013-2019 12.374671 9935.9375
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8.001800 1350.4671 48.763275 2000-2012 –> 2013-2019 12.375200 9937.9151
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7.997432 1350.2585 48.673308 2000-2012 –> 2013-2019 12.386486 9948.2897
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.243043 16752.4968 25.823155 1982-1999 –> 2000-2012 7.869095 26095.1047
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.201870 16695.5127 25.453169 1982-1999 –> 2000-2012 7.903438 26109.1498
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 4.243201 16750.7143 25.844615 1982-1999 –> 2000-2012 7.945289 26162.8357
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4.423933 16996.4743 29.641106 1982-1999 –> 2000-2012 8.117528 26402.6812
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.432085 17005.2338 28.512189 1982-1999 –> 2000-2012 8.173136 26453.4335
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.206929 16702.5444 25.745363 1982-1999 –> 2000-2012 7.924050 26130.6299
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.201856 16695.4922 25.553160 1982-1999 –> 2000-2012 7.903915 26109.5871
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4.326052 16865.7226 24.364198 1982-1999 –> 2000-2012 8.042528 26293.2109
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 4.336543 16877.8779 24.345971 1982-1999 –> 2000-2012 8.249570 26480.9565
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.205129 16700.0426 25.707888 1982-1999 –> 2000-2012 7.914936 26121.3414
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5.456883 3833.9909 34.518023 2000-2012 –> 2013-2019 9.699926 20586.4877
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.392648 3819.4735 35.847045 2000-2012 –> 2013-2019 9.594519 20514.9862
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 5.457304 3832.0853 34.681747 2000-2012 –> 2013-2019 9.700505 20582.7996
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 5.664799 3879.8353 33.117295 2000-2012 –> 2013-2019 10.088731 20876.3096
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5.666932 3878.2970 33.462562 2000-2012 –> 2013-2019 10.099017 20883.5308
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.435732 3829.2296 35.663054 2000-2012 –> 2013-2019 9.642662 20531.7740
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.408833 3823.1476 35.698835 2000-2012 –> 2013-2019 9.610689 20518.6398
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 5.429722 3827.8732 34.855936 2000-2012 –> 2013-2019 9.755774 20693.5958
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 5.440383 3828.2781 35.566511 2000-2012 –> 2013-2019 9.776926 20706.1560
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.434031 3828.8459 35.679876 2000-2012 –> 2013-2019 9.639160 20528.8885
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.223084 19830.3639 35.609362 1982-1999 –> 2000-2012 7.676344 32917.6730
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.233232 19846.9974 35.441178 1982-1999 –> 2000-2012 7.684132 32930.9440
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 4.234296 19846.7379 35.466954 1982-1999 –> 2000-2012 7.687707 32932.2631
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4.289010 19937.7125 36.018857 1982-1999 –> 2000-2012 7.805875 33114.7800
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.301092 19955.2052 35.882479 1982-1999 –> 2000-2012 7.817962 33130.2820
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.370588 20068.2834 38.268532 1982-1999 –> 2000-2012 8.050165 33467.7832
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.270041 19906.9936 35.305146 1982-1999 –> 2000-2012 7.736899 33013.6306
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.234296 19848.7378 35.467194 1982-1999 –> 2000-2012 7.686206 32934.1248
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.501875 20273.3868 37.504976 1982-1999 –> 2000-2012 8.192588 33687.7477
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.253322 19879.8076 35.441217 1982-1999 –> 2000-2012 7.712314 32975.2727
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5.352712 3810.3603 20.622440 2000-2012 –> 2013-2019 9.575795 23640.7242
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.435057 3829.0773 21.295388 2000-2012 –> 2013-2019 9.668289 23676.0747
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 5.459253 3832.5231 20.919385 2000-2012 –> 2013-2019 9.693549 23679.2610
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 5.430717 3828.0978 21.817860 2000-2012 –> 2013-2019 9.719727 23765.8103
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5.564758 3855.9907 21.642934 2000-2012 –> 2013-2019 9.865850 23811.1960
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.780248 3671.6864 19.728267 2000-2012 –> 2013-2019 9.150836 23739.9698
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.545235 3853.6818 21.392912 2000-2012 –> 2013-2019 9.815275 23760.6754
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.458307 3834.3106 21.034000 2000-2012 –> 2013-2019 9.692602 23683.0484
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.500364 3843.7209 22.349863 2000-2012 –> 2013-2019 10.002239 24117.1077
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.522781 3848.7075 21.416351 2000-2012 –> 2013-2019 9.776104 23728.5151
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.375853 15525.6242 22.952188 1982-1999 –> 2000-2012 7.986961 24080.9562
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.389724 15542.5814 22.782503 1982-1999 –> 2000-2012 7.983829 24082.9998
Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4.392415 15545.8649 23.346084 1982-1999 –> 2000-2012 7.994238 24093.0614
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.449895 15615.5263 27.483022 1982-1999 –> 2000-2012 8.010615 24126.4543
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.256369 15377.2879 25.224014 1982-1999 –> 2000-2012 7.800929 23873.8420
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.349225 15492.9197 22.679354 1982-1999 –> 2000-2012 7.908409 24002.4845
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.456584 15623.5746 28.091290 1982-1999 –> 2000-2012 8.012195 24129.9653
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.417426 15576.2884 27.568499 1982-1999 –> 2000-2012 7.967173 24077.4627
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.395668 15549.8316 24.318161 1982-1999 –> 2000-2012 7.955974 24060.3930
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.221069 15332.6659 20.038249 1982-1999 –> 2000-2012 7.893371 23941.0994
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.132587 2708.1116 22.002253 2000-2012 –> 2013-2019 9.582482 18323.6380
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.692946 2629.1291 16.767085 2000-2012 –> 2013-2019 8.949315 18006.4171
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 5.150224 2709.1373 21.742694 2000-2012 –> 2013-2019 9.600477 18323.0941
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.140185 2709.4163 21.734598 2000-2012 –> 2013-2019 9.489410 18202.3360
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5.163326 2713.3782 22.651616 2000-2012 –> 2013-2019 9.619910 18336.9528
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.143601 2710.0023 22.349852 2000-2012 –> 2013-2019 9.561027 18286.2907
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.164470 2713.5736 22.149373 2000-2012 –> 2013-2019 9.560138 18263.4051
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.663685 2623.6126 18.299266 2000-2012 –> 2013-2019 9.050426 18162.5527
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.703110 2629.0373 17.014777 2000-2012 –> 2013-2019 9.090495 18166.7644
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.697747 2630.0311 17.163113 2000-2012 –> 2013-2019 8.918816 17962.6970
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.823314 13643.1568 30.916067 1982-1999 –> 2000-2012 7.332197 20123.4600
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.820458 13639.4674 30.530714 1982-1999 –> 2000-2012 7.330357 20120.4704
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 3.823322 13641.1674 30.900912 1982-1999 –> 2000-2012 7.337516 20123.1279
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.859024 13689.0649 30.971440 1982-1999 –> 2000-2012 7.334632 20146.3283
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.804603 13618.9312 29.906977 1982-1999 –> 2000-2012 7.229254 20040.4818
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.823148 13642.9420 30.977172 1982-1999 –> 2000-2012 7.334858 20125.1931
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.809317 13625.0457 30.852711 1982-1999 –> 2000-2012 7.222761 20038.6708
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 3.823241 13641.0625 30.935191 1982-1999 –> 2000-2012 7.338345 20123.6494
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.806740 13621.7048 30.139398 1982-1999 –> 2000-2012 7.236440 20046.8174
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 3.817757 13633.9751 31.348280 1982-1999 –> 2000-2012 7.289496 20086.5458
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.762485 1968.6885 20.673309 2000-2012 –> 2013-2019 8.585798 15611.8453
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.720449 1962.8727 20.227046 2000-2012 –> 2013-2019 8.540907 15602.3401
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 4.765218 1967.0648 20.830218 2000-2012 –> 2013-2019 8.588539 15608.2322
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.745430 1966.3352 20.642717 2000-2012 –> 2013-2019 8.550033 15585.2663
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.761583 1968.5643 20.539856 2000-2012 –> 2013-2019 8.584730 15611.5063
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.762503 1966.6909 20.658618 2000-2012 –> 2013-2019 8.585871 15607.9179
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.745641 1966.3643 20.790666 2000-2012 –> 2013-2019 8.554958 15591.4100
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 4.768702 1967.5444 20.826971 2000-2012 –> 2013-2019 8.591943 15608.6068
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.742939 1965.9907 20.582180 2000-2012 –> 2013-2019 8.549680 15587.6955
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 4.748395 1964.7449 20.755328 2000-2012 –> 2013-2019 8.566152 15598.7200
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.603331 5429.7994 24.878767 1982-1999 –> 2000-2012 7.392967 7439.1768
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.601285 5430.6600 24.901582 1982-1999 –> 2000-2012 7.384581 7440.8217
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.573042 5414.8657 25.413581 1982-1999 –> 2000-2012 7.332028 7420.3475
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.573136 5412.9189 25.366753 1982-1999 –> 2000-2012 7.348253 7419.5095
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.568342 5412.2257 25.325930 1982-1999 –> 2000-2012 7.337063 7419.5851
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.599560 5429.6988 25.716850 1982-1999 –> 2000-2012 7.385612 7440.3893
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.570674 5413.5360 25.440572 1982-1999 –> 2000-2012 7.344349 7421.8493
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.578733 5418.0585 25.668008 1982-1999 –> 2000-2012 7.377152 7431.1164
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.595024 5427.1693 25.019531 1982-1999 –> 2000-2012 7.383374 7438.3003
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.588200 5423.3577 25.024730 1982-1999 –> 2000-2012 7.384824 7436.0726
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.043098 743.1626 8.969677 2000-2012 –> 2013-2019 6.611440 6155.3883
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.029147 741.8393 9.580655 2000-2012 –> 2013-2019 6.628707 6171.5381
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.034416 742.3397 9.686818 2000-2012 –> 2013-2019 6.695065 6205.7975
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 3.032879 740.1938 9.553050 2000-2012 –> 2013-2019 6.632542 6167.9499
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.032248 742.1339 9.573788 2000-2012 –> 2013-2019 6.602922 6155.6699
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.012865 740.2870 9.456071 2000-2012 –> 2013-2019 6.591598 6158.3455
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.031718 742.0836 9.582548 2000-2012 –> 2013-2019 6.661466 6188.5358
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.028023 741.7324 9.622148 2000-2012 –> 2013-2019 6.679302 6200.0482
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + phosphate + phosphate_star 3.032757 740.1822 9.594553 2000-2012 –> 2013-2019 6.684607 6196.8122
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.019497 740.9203 9.520932 2000-2012 –> 2013-2019 6.635416 6179.7148
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.062472 11433.7236 14.955677 1982-1999 –> 2000-2012 6.283773 14945.6786
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.035267 11395.5701 15.356261 1982-1999 –> 2000-2012 6.255093 14908.9058
Atlantic (28.2, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.036972 11396.0983 15.444115 1982-1999 –> 2000-2012 6.259472 14908.5558
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.903601 11196.0063 15.495490 1982-1999 –> 2000-2012 6.111051 14704.1349
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.908119 11201.0020 15.608551 1982-1999 –> 2000-2012 6.116319 14707.4468
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.905215 11198.5066 15.525353 1982-1999 –> 2000-2012 6.110222 14705.6052
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.905429 11198.8379 15.701738 1982-1999 –> 2000-2012 6.105179 14703.7171
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.056592 11427.0763 14.877841 1982-1999 –> 2000-2012 6.262162 14934.4122
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.060332 11430.5789 14.970070 1982-1999 –> 2000-2012 6.268225 14936.8944
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.036861 11397.9333 15.418382 1982-1999 –> 2000-2012 6.238585 14903.6462
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.030157 1399.0990 11.511187 2000-2012 –> 2013-2019 5.933758 12595.1053
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.043795 1401.5598 11.300845 2000-2012 –> 2013-2019 5.943994 12592.2910
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.030430 1397.1483 11.260530 2000-2012 –> 2013-2019 5.938548 12598.1503
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.015636 1396.4667 10.308189 2000-2012 –> 2013-2019 5.920851 12594.9733
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.022388 1397.6923 11.005889 2000-2012 –> 2013-2019 5.947425 12626.7978
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.040461 1400.9594 10.399226 2000-2012 –> 2013-2019 5.952943 12610.7072
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.990609 1391.8997 9.668110 2000-2012 –> 2013-2019 5.896038 12590.7376
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.047306 1402.1917 9.227560 2000-2012 –> 2013-2019 5.953938 12602.8925
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.004998 1394.5301 9.395556 2000-2012 –> 2013-2019 5.948517 12651.9798
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.014865 1396.3265 9.364506 2000-2012 –> 2013-2019 5.941503 12627.8942
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5.969137 21619.3451 66.314262 1982-1999 –> 2000-2012 17.709516 31578.9592
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.410386 22100.0229 62.052258 1982-1999 –> 2000-2012 18.092405 32046.8696
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 5.992664 21643.8584 64.668741 1982-1999 –> 2000-2012 18.191001 31699.5087
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5.969916 21620.2254 64.296003 1982-1999 –> 2000-2012 17.778366 31594.6509
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.973269 21624.0092 64.267207 1982-1999 –> 2000-2012 17.800846 31602.5812
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 5.990828 21643.7939 64.519170 1982-1999 –> 2000-2012 18.162978 31695.9382
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.522336 22216.7131 60.243538 1982-1999 –> 2000-2012 18.272877 32178.5437
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.559969 22255.4904 59.919950 1982-1999 –> 2000-2012 18.338399 32223.3944
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6.017895 21674.1764 63.612889 1982-1999 –> 2000-2012 17.869871 31658.0281
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.576689 22272.6476 59.821182 1982-1999 –> 2000-2012 18.364664 32242.6270
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.471487 15618.1286 21.842963 2000-2012 –> 2013-2019 10.440623 37237.4736
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.455313 16682.0776 26.560214 2000-2012 –> 2013-2019 11.865699 38782.1004
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 4.834047 16033.2309 24.687630 2000-2012 –> 2013-2019 10.826711 37677.0893
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.733978 15923.3185 22.146115 2000-2012 –> 2013-2019 10.703894 37543.5439
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.756170 15948.3400 22.172804 2000-2012 –> 2013-2019 10.729439 37572.3491
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 4.808893 16007.3191 23.683504 2000-2012 –> 2013-2019 10.799721 37651.1130
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.899584 16107.2751 22.341036 2000-2012 –> 2013-2019 10.917479 37781.4515
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 5.340296 16568.0752 26.170595 2000-2012 –> 2013-2019 11.907055 38830.5380
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 5.340745 16566.5244 25.991587 2000-2012 –> 2013-2019 12.077026 38998.7743
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5.324814 16552.5428 25.293525 2000-2012 –> 2013-2019 12.014051 38939.5564
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.579943 15075.8819 30.199628 1982-1999 –> 2000-2012 12.299872 24189.9722
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.583736 15080.1213 31.342081 1982-1999 –> 2000-2012 12.335966 24205.1847
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.526458 15015.7140 30.238024 1982-1999 –> 2000-2012 12.296439 24146.7883
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.540757 15031.8697 30.199132 1982-1999 –> 2000-2012 12.342504 24173.6657
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.602820 15101.4027 31.007470 1982-1999 –> 2000-2012 12.420332 24248.5040
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.636373 15138.6047 30.881477 1982-1999 –> 2000-2012 12.487542 24296.9961
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.545535 15037.2560 30.186873 1982-1999 –> 2000-2012 12.352539 24180.8224
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.653319 15157.2917 30.733975 1982-1999 –> 2000-2012 12.492002 24311.5002
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.638304 15140.7372 30.871243 1982-1999 –> 2000-2012 12.490099 24299.3384
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.666037 15169.2711 30.758501 1982-1999 –> 2000-2012 12.519403 24326.3979
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.949788 8285.6827 20.387812 2000-2012 –> 2013-2019 8.529731 23361.5645
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.914333 8258.9746 20.628486 2000-2012 –> 2013-2019 8.498069 23339.0959
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.008416 8329.3252 20.866112 2000-2012 –> 2013-2019 8.534873 23345.0392
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.042769 8354.6018 20.936190 2000-2012 –> 2013-2019 8.583526 23386.4715
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.015612 8334.6382 20.082845 2000-2012 –> 2013-2019 8.618432 23436.0409
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.066540 8371.9673 19.788107 2000-2012 –> 2013-2019 8.702913 23510.5721
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.050728 8360.4277 20.901123 2000-2012 –> 2013-2019 8.596263 23397.6837
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.991017 8316.4401 18.855744 2000-2012 –> 2013-2019 8.644336 23473.7318
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.066482 8371.9254 19.716997 2000-2012 –> 2013-2019 8.704786 23512.6626
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.066541 8369.9685 19.778141 2000-2012 –> 2013-2019 8.732578 23539.2396
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.937632 16498.4959 49.294488 1982-1999 –> 2000-2012 10.341240 25259.0071
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.297859 16881.3950 49.772109 1982-1999 –> 2000-2012 11.013420 25797.9559
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.297622 16883.1508 49.703891 1982-1999 –> 2000-2012 10.950617 25770.7159
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.992610 16559.0212 49.653688 1982-1999 –> 2000-2012 10.470399 25357.9274
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5.038406 16608.9308 49.772979 1982-1999 –> 2000-2012 10.562691 25431.6388
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.297686 16883.2169 49.759783 1982-1999 –> 2000-2012 11.013184 25801.7466
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.332909 16919.4386 49.571590 1982-1999 –> 2000-2012 11.096815 25861.7181
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5.046191 16617.3701 49.795814 1982-1999 –> 2000-2012 10.580145 25445.0026
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.158969 16736.1847 49.955024 1982-1999 –> 2000-2012 10.837964 25634.6722
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.084778 16659.0075 48.739715 1982-1999 –> 2000-2012 10.752473 25553.8863
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.382579 7122.1971 16.085508 2000-2012 –> 2013-2019 9.775514 24102.8156
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.219194 7028.9618 16.090545 2000-2012 –> 2013-2019 9.156826 23527.4577
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.552158 7215.3608 16.191758 2000-2012 –> 2013-2019 9.849780 24098.5116
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.292594 7071.2860 16.229928 2000-2012 –> 2013-2019 9.285204 23630.3072
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.346640 7101.9905 16.303607 2000-2012 –> 2013-2019 9.385046 23710.9214
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4.352500 7105.2968 16.336737 2000-2012 –> 2013-2019 9.398692 23722.6669
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 4.402132 7131.1215 16.825308 2000-2012 –> 2013-2019 9.561101 23867.3061
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.385669 7123.9271 16.884716 2000-2012 –> 2013-2019 9.470447 23782.9346
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.536218 7206.7529 16.543266 2000-2012 –> 2013-2019 9.913514 24171.4977
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.494220 7183.9273 16.343342 2000-2012 –> 2013-2019 9.911080 24188.7409
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.842432 24941.6787 46.824679 1982-1999 –> 2000-2012 11.263334 41247.8098
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.804417 24878.1048 46.925705 1982-1999 –> 2000-2012 11.122027 41105.6347
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.765860 24811.0658 46.838746 1982-1999 –> 2000-2012 11.163313 41101.0131
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.927168 25088.0076 46.925063 1982-1999 –> 2000-2012 11.314515 41370.0982
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.898917 25040.1656 46.028719 1982-1999 –> 2000-2012 11.278648 41316.3261
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.902228 25045.7885 47.236572 1982-1999 –> 2000-2012 11.272012 41314.1936
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.760108 24801.0179 46.251104 1982-1999 –> 2000-2012 11.098961 41045.2306
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.877287 25003.3506 47.045245 1982-1999 –> 2000-2012 11.219427 41250.1397
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.903691 25046.2705 45.993085 1982-1999 –> 2000-2012 11.283942 41320.8356
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.870801 24992.2791 46.244786 1982-1999 –> 2000-2012 11.206804 41234.2566
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.104723 12134.6710 14.865467 2000-2012 –> 2013-2019 8.947155 37076.3496
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.097701 12129.3392 14.815651 2000-2012 –> 2013-2019 8.902117 37007.4439
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.019457 12046.7860 15.310940 2000-2012 –> 2013-2019 8.785318 36857.8518
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4.207381 12242.4454 15.222836 2000-2012 –> 2013-2019 9.158238 37370.3581
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.256376 12292.0213 17.002272 2000-2012 –> 2013-2019 9.155293 37332.1869
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.325979 12361.4769 15.471856 2000-2012 –> 2013-2019 9.228208 37407.2653
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.012615 12039.4909 16.774525 2000-2012 –> 2013-2019 8.772723 36840.5088
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.246787 12282.3633 14.951405 2000-2012 –> 2013-2019 9.124074 37285.7139
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.263780 12297.4636 16.832968 2000-2012 –> 2013-2019 9.167471 37343.7341
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.248369 12283.9581 15.986393 2000-2012 –> 2013-2019 9.119170 37276.2373
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.796468 33191.5770 61.032995 1982-1999 –> 2000-2012 11.088593 48675.6884
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.777746 33148.1349 62.837258 1982-1999 –> 2000-2012 11.167098 48705.0521
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.649496 32845.8855 60.292206 1982-1999 –> 2000-2012 11.092821 48442.7422
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 4.651663 32849.0618 60.285696 1982-1999 –> 2000-2012 11.145641 48481.0979
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.638575 32819.7636 60.692163 1982-1999 –> 2000-2012 11.002752 48357.9364
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.637579 32817.3798 65.572445 1982-1999 –> 2000-2012 10.678078 48107.7140
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.650666 32848.6803 60.357065 1982-1999 –> 2000-2012 11.133221 48474.3575
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.646511 32838.7536 65.772654 1982-1999 –> 2000-2012 10.708793 48146.1795
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.754634 33092.2720 66.501911 1982-1999 –> 2000-2012 10.819774 48399.9351
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.571239 32657.3327 63.733920 1982-1999 –> 2000-2012 10.576958 47920.2508
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4.148112 17080.6003 18.408910 2000-2012 –> 2013-2019 8.797607 49926.4857
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 4.152829 17085.4257 18.250826 2000-2012 –> 2013-2019 8.804491 49934.4874
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.126671 17049.4755 18.607489 2000-2012 –> 2013-2019 8.765245 49869.2391
Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4.200842 17156.4658 18.318958 2000-2012 –> 2013-2019 8.901824 50124.6813
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.146425 17078.1575 18.097530 2000-2012 –> 2013-2019 8.784004 49895.5373
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.142192 17072.0225 18.524327 2000-2012 –> 2013-2019 8.792857 49920.7028
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.179028 17125.1977 18.606188 2000-2012 –> 2013-2019 8.881271 50096.3898
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.173056 17116.6077 18.578689 2000-2012 –> 2013-2019 8.865044 50063.5514
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.144621 17075.5435 17.849960 2000-2012 –> 2013-2019 8.791132 49914.2971
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.053471 16941.9837 17.645816 2000-2012 –> 2013-2019 8.624710 49599.3164
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.348103 33474.4491 49.432834 1982-1999 –> 2000-2012 9.585190 50686.3430
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.267728 33260.3128 49.411579 1982-1999 –> 2000-2012 9.500089 50469.1569
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.307191 33364.9366 49.174933 1982-1999 –> 2000-2012 9.594385 50630.0979
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4.267281 33259.1006 50.257534 1982-1999 –> 2000-2012 9.472896 50439.2759
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.064361 32694.7245 50.817327 1982-1999 –> 2000-2012 9.314358 49922.3914
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.173252 33000.9934 49.583281 1982-1999 –> 2000-2012 9.035656 49799.6314
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.091706 32772.3997 50.987247 1982-1999 –> 2000-2012 9.658081 50327.4084
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.103907 32806.8905 49.432496 1982-1999 –> 2000-2012 8.967871 49607.3230
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.211659 33105.1147 48.998485 1982-1999 –> 2000-2012 9.078208 49906.5191
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.963134 32402.5599 49.328802 1982-1999 –> 2000-2012 8.797503 49168.8512
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.243211 17819.1464 14.414753 2000-2012 –> 2013-2019 7.354324 50646.3600
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.276440 17887.0751 14.067187 2000-2012 –> 2013-2019 7.398284 50742.4838
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.245262 17823.4845 14.822118 2000-2012 –> 2013-2019 7.309624 50518.2091
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.275514 17887.1344 14.012583 2000-2012 –> 2013-2019 7.457543 50912.4668
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.348432 18036.1746 13.528903 2000-2012 –> 2013-2019 7.573241 51177.4026
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.248901 17831.1714 14.788113 2000-2012 –> 2013-2019 7.340607 50603.5711
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.256918 17848.0787 14.791749 2000-2012 –> 2013-2019 7.394656 50750.0722
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.313505 17966.2429 15.175343 2000-2012 –> 2013-2019 7.471045 50923.5405
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.255211 17844.4829 14.784470 2000-2012 –> 2013-2019 7.383289 50719.3986
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.554800 18448.4487 27.360915 2000-2012 –> 2013-2019 7.517935 50851.0087
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.908262 36364.0221 34.515034 1982-1999 –> 2000-2012 8.595270 55446.6792
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.908301 36362.1512 34.482784 1982-1999 –> 2000-2012 8.595577 55443.1771
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.895567 36321.5095 36.841582 1982-1999 –> 2000-2012 8.575967 55395.0903
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.921487 36406.1590 35.946183 1982-1999 –> 2000-2012 8.601901 55477.7587
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.724199 35733.7029 34.541506 1982-1999 –> 2000-2012 8.404205 54806.7430
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.920987 36406.4952 35.932785 1982-1999 –> 2000-2012 8.338627 55108.3311
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.726367 35741.3073 34.630820 1982-1999 –> 2000-2012 8.578383 55046.5807
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.962961 36545.6229 37.699771 1982-1999 –> 2000-2012 8.379457 55245.7933
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.973283 36577.6099 37.004861 1982-1999 –> 2000-2012 8.391627 55278.4718
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.905185 36353.7306 34.377957 1982-1999 –> 2000-2012 8.301094 55023.8392
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3.015813 19944.1825 11.932964 2000-2012 –> 2013-2019 6.891917 56200.2498
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 3.106707 20176.7655 12.176930 2000-2012 –> 2013-2019 7.018003 56548.9265
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.971560 19827.4021 11.597572 2000-2012 –> 2013-2019 6.695759 55561.1050
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3.086429 20127.0306 12.070126 2000-2012 –> 2013-2019 7.137731 56960.7156
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.969850 19822.8538 11.629235 2000-2012 –> 2013-2019 6.696216 55564.1611
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.968993 19820.5746 12.281382 2000-2012 –> 2013-2019 6.703382 55589.9809
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.998956 19899.9032 12.879683 2000-2012 –> 2013-2019 6.733057 55668.2997
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.969062 19820.7592 12.155243 2000-2012 –> 2013-2019 6.702708 55587.5644
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.078607 20104.9855 16.202540 2000-2012 –> 2013-2019 6.837423 55957.5776
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.306611 20671.4128 13.407777 2000-2012 –> 2013-2019 7.211796 57025.1434
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.328281 17697.9265 37.603032 1982-1999 –> 2000-2012 7.559071 26250.1276
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.312296 17665.4505 40.045177 1982-1999 –> 2000-2012 7.531910 26209.7578
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.303942 17648.4140 38.420075 1982-1999 –> 2000-2012 7.547112 26209.3338
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.283694 17606.9446 38.034582 1982-1999 –> 2000-2012 7.544495 26180.2375
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.282128 17603.7266 38.044274 1982-1999 –> 2000-2012 7.548341 26180.8067
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.312965 17666.8112 40.067174 1982-1999 –> 2000-2012 7.532866 26211.3222
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.295381 17630.9124 37.429909 1982-1999 –> 2000-2012 7.554238 26202.8432
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.278313 17595.8796 37.176130 1982-1999 –> 2000-2012 7.557957 26182.3401
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.312966 17664.8139 40.074664 1982-1999 –> 2000-2012 7.541210 26213.2182
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.260484 17559.0931 36.892146 1982-1999 –> 2000-2012 7.488465 26109.3119
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.877184 9892.2455 12.158419 2000-2012 –> 2013-2019 6.181127 27540.6595
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.866216 9877.0058 12.104789 2000-2012 –> 2013-2019 6.149910 27483.9504
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.866222 9877.0144 12.183571 2000-2012 –> 2013-2019 6.141927 27467.5248
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.866285 9877.1022 12.113044 2000-2012 –> 2013-2019 6.148414 27480.8288
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 2.866418 9875.2872 12.146863 2000-2012 –> 2013-2019 6.179754 27540.8549
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.914815 9944.0915 13.181581 2000-2012 –> 2013-2019 6.193127 27539.9711
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.908309 9935.1759 13.170825 2000-2012 –> 2013-2019 6.168793 27494.2690
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.915083 9944.4592 13.184099 2000-2012 –> 2013-2019 6.193193 27539.9217
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.915747 9943.3683 13.195272 2000-2012 –> 2013-2019 6.194171 27537.4763
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.919854 9948.9843 13.207424 2000-2012 –> 2013-2019 6.206517 27560.0254
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.000430 24042.8723 20.003688 1982-1999 –> 2000-2012 7.252903 36176.1775
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.011839 24077.0935 19.830496 1982-1999 –> 2000-2012 7.288994 36232.8678
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.021843 24110.7432 21.175803 1982-1999 –> 2000-2012 7.260250 36230.0406
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.011808 24078.9965 19.855583 1982-1999 –> 2000-2012 7.282479 36230.3561
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.041255 24171.8555 21.575397 1982-1999 –> 2000-2012 7.293265 36304.7001
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.009457 24071.5425 19.883245 1982-1999 –> 2000-2012 7.293675 36236.2928
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.039489 24166.3126 20.850632 1982-1999 –> 2000-2012 7.293027 36300.6765
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.000386 24042.7329 20.066524 1982-1999 –> 2000-2012 7.267987 36191.0524
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.009095 24070.3963 20.102044 1982-1999 –> 2000-2012 7.293189 36235.0233
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.008373 24068.1057 19.868549 1982-1999 –> 2000-2012 7.285507 36225.8585
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.904248 14164.2328 12.943971 2000-2012 –> 2013-2019 5.904677 38207.1051
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.878907 14114.3336 12.938460 2000-2012 –> 2013-2019 5.888364 38185.8761
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.870914 14098.5024 13.000360 2000-2012 –> 2013-2019 5.887146 38191.5056
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.869493 14095.6837 12.997844 2000-2012 –> 2013-2019 5.878671 38166.3397
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.870903 14098.4810 13.000245 2000-2012 –> 2013-2019 5.887954 38194.0745
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 2.870918 14096.5096 13.000646 2000-2012 –> 2013-2019 5.905344 38244.9134
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.890273 14136.7691 13.057617 2000-2012 –> 2013-2019 5.890659 38179.5020
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.887346 14130.9997 13.142290 2000-2012 –> 2013-2019 5.896441 38201.3959
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.887383 14131.0730 13.136612 2000-2012 –> 2013-2019 5.896556 38201.7154
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.889507 14133.2598 13.126191 2000-2012 –> 2013-2019 5.898692 38201.9400
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2.908382 41755.9571 51.810696 1982-1999 –> 2000-2012 7.292510 64543.6151
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.888964 41645.4926 51.138790 1982-1999 –> 2000-2012 7.271746 64432.7370
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.895700 41682.5910 51.716538 1982-1999 –> 2000-2012 7.282021 64474.1821
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.907336 41751.9182 51.755128 1982-1999 –> 2000-2012 7.272444 64507.3933
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.909711 41763.6252 52.053210 1982-1999 –> 2000-2012 7.275071 64517.5550
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.885942 41627.9249 51.434225 1982-1999 –> 2000-2012 7.250236 64381.9346
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.899697 41707.7486 51.693194 1982-1999 –> 2000-2012 7.264840 64463.2873
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.898742 41702.2209 51.508852 1982-1999 –> 2000-2012 7.282338 64490.9254
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.900104 41708.1061 51.719444 1982-1999 –> 2000-2012 7.288193 64502.8635
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.893645 41672.6734 51.615657 1982-1999 –> 2000-2012 7.279951 64466.2360
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.083102 25521.8260 102.691006 2000-2012 –> 2013-2019 5.991484 67277.7831
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.082652 25522.3617 102.681966 2000-2012 –> 2013-2019 5.971616 67167.8543
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.120870 25643.8724 103.269395 2000-2012 –> 2013-2019 6.016570 67326.4634
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.079016 25510.5295 102.626960 2000-2012 –> 2013-2019 5.986351 67262.4477
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.083488 25525.0802 102.661787 2000-2012 –> 2013-2019 5.969430 67153.0050
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.113319 25621.5888 103.129775 2000-2012 –> 2013-2019 6.013015 67329.3374
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.071601 25486.3617 103.115007 2000-2012 –> 2013-2019 5.984559 67270.7097
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.077880 25506.8321 103.023178 2000-2012 –> 2013-2019 5.976622 67209.0530
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.070117 25481.5170 103.324967 2000-2012 –> 2013-2019 5.987019 67288.5847
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.115598 25628.9257 103.714740 2000-2012 –> 2013-2019 6.009243 67301.5991
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2.898102 34053.8535 26.253545 1982-1999 –> 2000-2012 7.131674 50814.1887
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.896726 34049.3437 25.831388 1982-1999 –> 2000-2012 7.125453 50804.9770
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.905397 34088.3224 24.049345 1982-1999 –> 2000-2012 7.135024 50843.2010
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.887078 34003.6064 25.909403 1982-1999 –> 2000-2012 7.117261 50761.2533
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.891516 34022.6619 24.460880 1982-1999 –> 2000-2012 7.121698 50778.3092
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.875934 33950.5815 22.117163 1982-1999 –> 2000-2012 7.103416 50704.4916
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.889727 34016.1771 24.714706 1982-1999 –> 2000-2012 7.116689 50769.3672
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.897746 34054.1700 26.170429 1982-1999 –> 2000-2012 7.126435 50809.7509
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.905545 34089.0219 24.277319 1982-1999 –> 2000-2012 7.134727 50843.2844
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.903756 34082.5774 23.231477 1982-1999 –> 2000-2012 7.132010 50837.5550
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2.853453 25101.2171 16.268742 2000-2012 –> 2013-2019 5.751554 59155.0705
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.826523 25006.7991 16.007663 2000-2012 –> 2013-2019 5.723249 59056.1428
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.801947 24918.0066 15.850745 2000-2012 –> 2013-2019 5.689026 58921.6130
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.807583 24938.4388 15.804505 2000-2012 –> 2013-2019 5.702903 58981.1254
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.833085 25028.3794 15.353207 2000-2012 –> 2013-2019 5.724601 59051.0413
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 2.841237 25057.5958 15.281386 2000-2012 –> 2013-2019 5.751100 59166.9748
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.831185 25023.5585 15.386119 2000-2012 –> 2013-2019 5.707119 58974.1400
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.822149 24991.0533 15.457953 2000-2012 –> 2013-2019 5.711876 59007.2304
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.841236 25059.5917 15.281151 2000-2012 –> 2013-2019 5.725072 59047.7913
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.845156 25073.6107 16.155116 2000-2012 –> 2013-2019 5.742902 59127.7806
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.053219 45347.2846 31.507932 1982-1999 –> 2000-2012 6.669748 74715.4206
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.162394 45973.5290 32.328387 1982-1999 –> 2000-2012 6.785659 75359.8619
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3.277449 46614.5628 32.000752 1982-1999 –> 2000-2012 6.857311 75872.0895
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.160989 45967.5817 32.416348 1982-1999 –> 2000-2012 6.712635 75139.2228
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3.311189 46797.7072 32.316097 1982-1999 –> 2000-2012 6.833084 75878.0432
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.391399 47225.7202 32.601009 1982-1999 –> 2000-2012 6.914051 76308.3874
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3.352091 47017.2474 32.623558 1982-1999 –> 2000-2012 6.925486 76255.1483
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.307145 46775.8536 32.423364 1982-1999 –> 2000-2012 6.943455 76203.1973
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.233992 46375.8737 32.583800 1982-1999 –> 2000-2012 6.870240 75803.0279
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.111257 45684.0105 31.751634 1982-1999 –> 2000-2012 6.696858 74958.9249
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.674593 21725.1191 11.853297 2000-2012 –> 2013-2019 5.727812 67072.4037
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.685816 21760.9572 11.778414 2000-2012 –> 2013-2019 5.848210 67734.4862
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 2.663638 21686.0320 12.664113 2000-2012 –> 2013-2019 6.002858 68632.4884
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2.616082 21525.2479 12.476209 2000-2012 –> 2013-2019 5.893531 68139.8107
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2.663542 21687.7087 12.818833 2000-2012 –> 2013-2019 5.969801 68458.7744
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.616680 21525.3130 12.547643 2000-2012 –> 2013-2019 6.014017 68780.3174
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.588781 21430.4547 11.455110 2000-2012 –> 2013-2019 5.749770 67398.0364
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2.661194 21679.7380 12.782708 2000-2012 –> 2013-2019 5.972383 68477.4452
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.607116 21494.2271 12.217391 2000-2012 –> 2013-2019 5.998515 68719.9474
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.638661 21602.9030 11.927608 2000-2012 –> 2013-2019 5.749918 67286.9135

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(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
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17

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
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17

6.2 RMSE correlation between eras

RMSE was plotted to compare the agreement for one model applied to two adjecent 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
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
e4ca289 jens-daniel-mueller 2020-12-16
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
ba112d3 jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
7c25f7a jens-daniel-mueller 2020-12-02
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30 
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
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
a84ff3c jens-daniel-mueller 2020-12-17 
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] 8 9 8 8 5 4 8
(26,26.5] 10 7 10 7 3 3 7
(26.5,26.75] 8 4 8 8 7 4 10
(26.75,27] 6 7 6 8 6 7 10
(27,27.25] 6 8 5 9 5 6 10
(27.25,27.5] 6 5 6 9 8 4 10
(27.5,27.75] 7 4 8 8 4 10 8
(27.75,27.85] 7 4 7 7 9 10 4
(27.85,27.95] 5 3 7 7 10 10 5
(27.95,28.05] 6 3 6 9 10 9 5
(28.05,28.1] 6 5 6 10 9 7 7
(28.1,28.15] 5 3 5 9 10 5 10
(28.15,28.2] 10 5 10 8 6 4 5
(28.2, Inf] 10 4 10 10 4 4 4
total 100.00 71.00 102.00 117.00 96.00 87.00 103.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 8 8 8 6 5 7
(26,26.5] 9 10 8 7 4 3 7
(26.5,26.75] 6 5 7 8 8 6 10
(26.75,27] 5 4 5 9 4 10 10
(27,27.25] 7 6 7 8 4 9 9
(27.25,27.5] 9 7 9 8 5 3 8
(27.5,27.75] 8 6 9 6 4 10 6
(27.75,27.85] 7 4 7 7 9 10 4
(27.85,27.95] 5 3 7 7 10 10 5
(27.95,28.05] 6 3 6 9 10 9 5
(28.05,28.1] 7 4 6 10 7 4 10
(28.1,28.15] 4 4 4 10 10 4 10
(28.15,28.2] 7 3 8 7 10 4 9
(28.2, Inf] 8 4 9 7 10 6 5
total 96.00 71.00 100.00 111.00 101.00 93.00 105.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 8 6 6 6 10 5 8
(26,26.5] 6 5 6 8 10 6 8
(26.5,26.75] 7 6 7 8 10 3 7
(26.75,27] 9 6 9 9 4 5 6
(27,27.25] 10 4 10 7 6 6 5
(27.25,27.5] 10 4 10 9 4 5 5
(27.5,27.75] 10 3 10 9 5 5 5
(27.75,27.85] 9 4 8 8 4 7 9
(27.85,27.95] 10 6 9 7 4 7 6
(27.95,28.05] 10 4 10 10 4 4 4
(28.05,28.1] 10 4 10 10 4 4 4
(28.1, Inf] 9 6 10 8 5 5 6
total 108.00 58.00 105.00 99.00 70.00 62.00 73.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 9 7 7 7 3 8
(26,26.5] 6 5 6 8 10 6 8
(26.5,26.75] 7 9 7 8 7 4 7
(26.75,27] 9 7 9 8 4 4 7
(27,27.25] 8 3 9 7 8 8 6
(27.25,27.5] 6 3 8 7 9 10 5
(27.5,27.75] 6 3 7 7 9 10 6
(27.75,27.85] 4 4 5 9 5 10 10
(27.85,27.95] 5 6 5 8 5 10 9
(27.95,28.05] 10 5 10 8 4 6 5
(28.05,28.1] 10 5 10 7 7 5 3
(28.1, Inf] 10 5 10 7 7 5 3
total 88.00 64.00 93.00 91.00 82.00 81.00 77.00

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
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17 

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_0.7.2      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3.9000 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_3.3.2   
[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_1.4-1         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_2.1.0               
[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_0.4.9              readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.0.2           jsonlite_1.7.1          
[40] zip_2.1.1                car_3.0-10               magrittr_1.5            
[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_0.10.1.2.0
[67] data.table_1.13.2        modelr_0.1.8             vctrs_0.3.5             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.18               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.7.0      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_0.1