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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove 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:

  • 56

4 Fit all models

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

  • cstar_tref

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

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

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

# remove models with predictors fitted as NA

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

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

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


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate 2.7170846 824.6153 9.022438 1982-1999 –> 2000-2012 5.6662520 1956.8220
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.7086223 825.5672 8.884591 1982-1999 –> 2000-2012 5.6157598 1953.3434
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate_star 2.7791843 832.2083 9.168408 1982-1999 –> 2000-2012 5.6865076 1958.0130
Atlantic (-Inf,26] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 2.7163892 824.5293 8.791917 1982-1999 –> 2000-2012 5.7647244 1971.5526
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.4311466 611.2113 6.866414 1982-1999 –> 2000-2012 3.0845503 1486.1663
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.6874062 822.9250 8.689212 1982-1999 –> 2000-2012 5.6217381 1954.8725
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.6250970 815.0429 8.480436 1982-1999 –> 2000-2012 5.5110715 1939.5459
Atlantic (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.4525065 614.1890 7.640069 1982-1999 –> 2000-2012 3.1079737 1487.7028
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.4421195 613.7776 7.287304 1982-1999 –> 2000-2012 3.0973330 1489.2227
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.7126786 826.0700 8.678584 1982-1999 –> 2000-2012 5.7135361 1968.0608
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate 2.3810413 368.6903 5.834936 2000-2012 –> 2013-2019 5.0981259 1193.3057
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.3403634 368.0022 5.632960 2000-2012 –> 2013-2019 5.0489857 1193.5694
Atlantic (-Inf,26] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 2.3464455 366.4071 5.746804 2000-2012 –> 2013-2019 5.0628347 1190.9364
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.5278831 301.4802 4.310131 2000-2012 –> 2013-2019 2.9590297 912.6915
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.3170264 366.4388 5.518965 2000-2012 –> 2013-2019 5.0044326 1189.3639
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.2702542 363.2575 5.399864 2000-2012 –> 2013-2019 4.8953512 1178.3005
Atlantic (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.6305700 309.6274 5.571504 2000-2012 –> 2013-2019 3.0830765 923.8165
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5621385 304.9391 4.860917 2000-2012 –> 2013-2019 3.0042580 918.7167
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate 2.3739132 368.2226 6.175077 2000-2012 –> 2013-2019 5.0945239 1193.2737
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.3457744 368.3624 5.771212 2000-2012 –> 2013-2019 5.0584530 1194.4325
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.2834761 6541.0541 10.686716 1982-1999 –> 2000-2012 8.5162929 16077.1451
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1483353 6470.2189 15.610307 1982-1999 –> 2000-2012 8.3153770 15956.1891
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 4.2322178 6513.7022 10.574048 1982-1999 –> 2000-2012 8.4146671 16009.9549
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.0550873 6418.5652 13.236101 1982-1999 –> 2000-2012 8.0999080 15805.4637
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.2216419 6508.0176 10.554565 1982-1999 –> 2000-2012 8.3922815 15994.8600
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 4.0993827 6441.2487 14.735760 1982-1999 –> 2000-2012 8.2126070 15881.9577
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.0927445 6439.5666 15.829622 1982-1999 –> 2000-2012 8.2024677 15879.4417
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.0954697 6441.0789 15.579158 1982-1999 –> 2000-2012 8.2024934 15878.7673
Atlantic (26,26.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 4.1944413 6493.3314 10.494457 1982-1999 –> 2000-2012 8.3383331 15958.7614
Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.0489706 6415.1355 15.855390 1982-1999 –> 2000-2012 8.1126638 15817.5259
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.2055743 3541.2118 12.176185 2000-2012 –> 2013-2019 8.4890504 10082.2660
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.9942376 3479.4860 14.424969 2000-2012 –> 2013-2019 8.1425729 9949.7049
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 4.1464089 3523.6999 11.966621 2000-2012 –> 2013-2019 8.3786267 10037.4021
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.9202580 3456.3787 10.751271 2000-2012 –> 2013-2019 7.9753453 9874.9439
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.1356021 3520.4743 11.928557 2000-2012 –> 2013-2019 8.3572440 10028.4919
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 3.9538872 3464.9362 13.426711 2000-2012 –> 2013-2019 8.0532699 9906.1849
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.9210086 3456.6153 14.222893 2000-2012 –> 2013-2019 8.0137531 9896.1819
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.9284903 3458.9715 14.150185 2000-2012 –> 2013-2019 8.0239600 9900.0504
Atlantic (26,26.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 4.1083231 3512.2945 11.804328 2000-2012 –> 2013-2019 8.3027644 10005.6259
Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.8666328 3439.3547 14.058712 2000-2012 –> 2013-2019 7.9156034 9854.4902
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.2470241 8115.6336 10.231136 1982-1999 –> 2000-2012 6.3638299 18919.9984
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3583807 8218.8401 10.684921 1982-1999 –> 2000-2012 6.5236212 19086.3096
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.5864331 8425.8216 26.544468 1982-1999 –> 2000-2012 6.9817656 19591.5600
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.3008327 8166.9135 10.738674 1982-1999 –> 2000-2012 6.4773765 19051.4332
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3258686 8190.4885 11.145018 1982-1999 –> 2000-2012 6.5316513 19113.6924
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.4179295 8273.6773 10.821627 1982-1999 –> 2000-2012 6.6469078 19225.3197
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2593604 8127.4649 9.985777 1982-1999 –> 2000-2012 6.3095645 18840.6336
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.4492526 8302.1399 10.919545 1982-1999 –> 2000-2012 6.7116214 19297.2172
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.3413378 8204.9666 10.807566 1982-1999 –> 2000-2012 6.5618817 19147.5662
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.4569950 8309.1353 10.935851 1982-1999 –> 2000-2012 6.7294242 19317.2124
Atlantic (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.4004276 3898.9744 9.224751 2000-2012 –> 2013-2019 6.6474517 12014.6081
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.5190393 3947.3760 11.109784 2000-2012 –> 2013-2019 6.8774200 12166.2161
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.5932305 3980.0456 10.312214 2000-2012 –> 2013-2019 7.1796636 12405.8672
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.4426159 3917.1001 9.458482 2000-2012 –> 2013-2019 6.7434486 12084.0136
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4610820 3924.9641 9.525482 2000-2012 –> 2013-2019 6.7869506 12115.4526
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.5774973 3971.5950 11.143465 2000-2012 –> 2013-2019 6.9954268 12245.2722
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.4302888 3911.8270 10.955596 2000-2012 –> 2013-2019 6.6896492 12039.2918
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.6090104 3984.4871 11.292419 2000-2012 –> 2013-2019 7.0582630 12286.6269
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.4779539 3932.1126 9.635421 2000-2012 –> 2013-2019 6.8192918 12137.0792
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.6158596 3987.2742 11.314802 2000-2012 –> 2013-2019 7.0728546 12296.4095
Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.0966114 11544.4535 14.839339 1982-1999 –> 2000-2012 3.7617485 25064.2334
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.1562430 11692.2135 15.705946 1982-1999 –> 2000-2012 3.8576824 25361.0060
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.1863375 11768.2281 13.163828 1982-1999 –> 2000-2012 3.9576711 25720.9080
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.2438218 11906.8159 15.192665 1982-1999 –> 2000-2012 4.0620723 26042.5430
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.2592103 11941.3136 16.122729 1982-1999 –> 2000-2012 4.0744471 26063.4253
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.1484086 11674.7761 22.760365 1982-1999 –> 2000-2012 3.7156404 24770.2584
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.3267471 12098.6080 16.537660 1982-1999 –> 2000-2012 4.1938950 26418.1489
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.2824865 11998.0491 19.773455 1982-1999 –> 2000-2012 4.1248866 26226.1627
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.7852538 13059.1020 20.682052 1982-1999 –> 2000-2012 5.2436385 29304.8402
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.3529180 12158.3363 19.498731 1982-1999 –> 2000-2012 4.2391160 26548.9549
Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.5189920 6630.0597 21.776215 2000-2012 –> 2013-2019 4.6156034 18174.5132
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6328416 6752.8943 26.902311 2000-2012 –> 2013-2019 4.7890846 18445.1078
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.6299361 6751.7762 22.058906 2000-2012 –> 2013-2019 4.8162736 18520.0043
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.6675005 6791.8272 22.032035 2000-2012 –> 2013-2019 4.9113223 18698.6431
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.7601533 6886.2508 27.686717 2000-2012 –> 2013-2019 5.0193637 18827.5644
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3244729 6403.1075 22.917547 2000-2012 –> 2013-2019 4.4728815 18077.8835
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.8080839 6934.8691 27.945041 2000-2012 –> 2013-2019 5.1348310 19033.4771
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.6964753 6822.3364 22.389305 2000-2012 –> 2013-2019 4.9789618 18820.3856
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.1656429 7273.3363 31.750586 2000-2012 –> 2013-2019 5.9508967 20332.4383
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.8238520 6950.6822 27.989507 2000-2012 –> 2013-2019 5.1767700 19109.0185
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.0073007 9809.8273 20.172524 1982-1999 –> 2000-2012 3.8404296 22224.6995
Atlantic (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.5229072 10866.3425 19.946542 1982-1999 –> 2000-2012 4.7336405 24426.2398
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 2.2107803 10254.8753 18.059224 1982-1999 –> 2000-2012 4.7255758 24603.9555
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.0508911 9909.2957 14.348753 1982-1999 –> 2000-2012 3.7846376 21982.8188
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0626276 9935.7160 14.340241 1982-1999 –> 2000-2012 3.8028987 22032.2421
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 2.6028293 11010.7390 12.226447 1982-1999 –> 2000-2012 4.7596249 24419.3695
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5160483 10855.7380 26.496913 1982-1999 –> 2000-2012 4.6677373 24251.8517
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 2.6439654 11083.3411 12.295336 1982-1999 –> 2000-2012 4.8317266 24579.2701
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.1148338 10051.4454 13.664354 1982-1999 –> 2000-2012 3.8857650 22254.9247
Atlantic (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.6577803 11107.4701 12.305484 1982-1999 –> 2000-2012 4.8597885 24643.1500
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.4642874 5987.8452 19.550203 2000-2012 –> 2013-2019 4.4715881 15797.6725
Atlantic (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.0678377 6549.7322 15.117125 2000-2012 –> 2013-2019 5.5907449 17416.0747
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 2.5779754 6101.9370 24.809555 2000-2012 –> 2013-2019 4.7887557 16356.8123
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.5503058 6076.1608 20.404598 2000-2012 –> 2013-2019 4.6011969 15985.4565
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5559660 6081.8672 20.913985 2000-2012 –> 2013-2019 4.6185935 16017.5832
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 3.1934757 6653.0446 15.340464 2000-2012 –> 2013-2019 5.7963051 17663.7837
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.8723648 6382.2670 14.362081 2000-2012 –> 2013-2019 5.3884131 17238.0050
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 3.2318592 6683.7980 15.389791 2000-2012 –> 2013-2019 5.8758246 17767.1391
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.6107250 6136.4302 20.427759 2000-2012 –> 2013-2019 4.7255588 16187.8755
Atlantic (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.2422103 6692.0289 15.409856 2000-2012 –> 2013-2019 5.8999906 17799.4990
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.1729752 12864.5994 26.520393 1982-1999 –> 2000-2012 5.5434987 29252.5858
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.3351842 11335.5444 23.531928 1982-1999 –> 2000-2012 4.1307587 25732.1397
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 2.8444219 12318.7062 20.183111 1982-1999 –> 2000-2012 5.7087267 30064.4981
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate 3.2598482 12999.4921 17.188502 1982-1999 –> 2000-2012 5.7677173 29791.6492
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.1666382 12856.6157 29.607965 1982-1999 –> 2000-2012 5.5124389 29171.3682
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.2618518 13002.5606 17.418942 1982-1999 –> 2000-2012 5.7950108 29866.7198
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 2.4583415 11590.2168 14.105424 1982-1999 –> 2000-2012 4.3015537 26172.7141
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.3245022 11312.6475 15.470516 1982-1999 –> 2000-2012 4.1604835 25868.9383
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.3175625 11297.7160 17.497059 1982-1999 –> 2000-2012 4.1483759 25833.7791
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.3794456 11429.3154 10.600622 1982-1999 –> 2000-2012 4.3155238 26366.5458
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.8330101 7542.8175 24.341660 2000-2012 –> 2013-2019 7.0059853 20407.4169
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.9027549 6787.0163 21.222133 2000-2012 –> 2013-2019 5.2379391 18122.5607
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.1237522 6985.0356 21.378502 2000-2012 –> 2013-2019 5.9681741 19303.7417
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate 3.8842500 7579.0174 16.177585 2000-2012 –> 2013-2019 7.1440982 20578.5095
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.8330099 7544.8173 24.359041 2000-2012 –> 2013-2019 6.9996481 20401.4330
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.8766670 7573.6904 17.071967 2000-2012 –> 2013-2019 7.1385188 20576.2510
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 3.1786481 7032.5254 12.434604 2000-2012 –> 2013-2019 5.6369895 18622.7422
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.8647162 6751.0577 14.467401 2000-2012 –> 2013-2019 5.1892184 18063.7052
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.8693849 6755.4967 17.402553 2000-2012 –> 2013-2019 5.1869474 18053.2127
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.8960243 6780.6882 14.114523 2000-2012 –> 2013-2019 5.2754699 18210.0036
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.2993974 19661.3413 16.278238 1982-1999 –> 2000-2012 5.9071794 43834.8722
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.4726760 20044.2574 19.638991 1982-1999 –> 2000-2012 6.4803633 45665.6150
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.7573021 20636.6505 17.899449 1982-1999 –> 2000-2012 6.7214439 46109.8068
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 3.2816362 19618.7506 16.377780 1982-1999 –> 2000-2012 5.7538359 43247.7147
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.2282816 19497.4817 16.383046 1982-1999 –> 2000-2012 5.7003526 43127.9169
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.2399539 19524.6221 16.256268 1982-1999 –> 2000-2012 5.7109737 43150.7351
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 3.7636868 20649.4183 17.527626 1982-1999 –> 2000-2012 6.6603602 45888.5987
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7465894 20617.1792 17.751247 1982-1999 –> 2000-2012 6.6432564 45858.3369
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.2209808 19480.4557 16.748066 1982-1999 –> 2000-2012 5.6532301 42945.8620
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.7660531 20654.1448 16.683751 1982-1999 –> 2000-2012 6.6902581 45989.4542
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.0522785 11298.1442 17.706745 2000-2012 –> 2013-2019 7.3516758 30959.4856
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate_star 4.1707535 11411.5291 20.409515 2000-2012 –> 2013-2019 7.6434295 31455.7865
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.4605630 11680.5110 19.216224 2000-2012 –> 2013-2019 8.2178651 32317.1615
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 4.0709495 11314.5505 18.311761 2000-2012 –> 2013-2019 7.3525857 30933.3011
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.9980200 11244.1700 18.212868 2000-2012 –> 2013-2019 7.2263016 30741.6517
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.0094579 11255.6087 18.064195 2000-2012 –> 2013-2019 7.2494118 30780.2308
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 4.4894333 11706.3427 18.881946 2000-2012 –> 2013-2019 8.2531201 32355.7611
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4581556 11680.3493 19.156651 2000-2012 –> 2013-2019 8.2047450 32297.5285
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.9946624 11240.8060 18.523843 2000-2012 –> 2013-2019 7.2156431 30721.2617
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.4650520 11684.5384 18.765081 2000-2012 –> 2013-2019 8.2311051 32338.6832
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.2562554 5814.4119 15.841929 1982-1999 –> 2000-2012 4.1202946 12672.1376
Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.3349066 5901.4333 14.836198 1982-1999 –> 2000-2012 4.2222987 12798.8924
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.3969815 5971.6006 14.014666 1982-1999 –> 2000-2012 4.2771770 12858.2539
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate 2.3052431 5868.2158 16.105208 1982-1999 –> 2000-2012 4.2386435 12846.4055
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.3048685 5869.7937 16.033122 1982-1999 –> 2000-2012 4.2063684 12794.2150
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.3027457 5867.3999 16.266110 1982-1999 –> 2000-2012 4.2235610 12825.6989
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.3985643 5971.3155 14.446654 1982-1999 –> 2000-2012 4.2874047 12871.3457
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2.3522550 5920.6652 15.245745 1982-1999 –> 2000-2012 4.2629364 12859.2328
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3348333 5903.3518 14.860469 1982-1999 –> 2000-2012 4.2219311 12802.2880
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.3401707 5909.2839 16.115013 1982-1999 –> 2000-2012 4.2781639 12897.4268
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.6440477 3151.3193 15.059007 2000-2012 –> 2013-2019 4.9003030 8965.7312
Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6777263 3165.9254 14.593662 2000-2012 –> 2013-2019 5.0126329 9067.3587
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate 2.6941847 3173.9648 15.520638 2000-2012 –> 2013-2019 4.9994278 9042.1807
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.6870582 3172.4898 15.339896 2000-2012 –> 2013-2019 4.9919268 9042.2835
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.6938732 3175.8131 15.498857 2000-2012 –> 2013-2019 4.9966189 9043.2130
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2.7013116 3177.4308 15.102614 2000-2012 –> 2013-2019 5.0535666 9098.0960
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.6773339 3167.7332 14.522382 2000-2012 –> 2013-2019 5.0121673 9071.0849
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2.7211800 3187.0454 15.317302 2000-2012 –> 2013-2019 5.0940210 9130.3483
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.7132205 3185.2022 15.501533 2000-2012 –> 2013-2019 5.0533912 9094.4861
Atlantic (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.7211808 3187.0458 15.318370 2000-2012 –> 2013-2019 5.0950085 9131.4288
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.3571922 6523.9877 38.221026 1982-1999 –> 2000-2012 6.5191234 15325.8033
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.3531154 6522.9792 38.190461 1982-1999 –> 2000-2012 6.5033023 15314.0682
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 3.3583056 6522.8087 38.951768 1982-1999 –> 2000-2012 6.5202987 15322.6912
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3547203 6522.1640 37.787209 1982-1999 –> 2000-2012 6.5127716 15319.7804
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate 3.5748513 6679.5266 49.053288 1982-1999 –> 2000-2012 6.7476024 15493.0251
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.1041138 6331.9270 23.668814 1982-1999 –> 2000-2012 6.2647677 15134.3608
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.5694814 6677.8045 48.979876 1982-1999 –> 2000-2012 6.7299938 15480.0852
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.1164452 6339.7437 23.637863 1982-1999 –> 2000-2012 6.2780482 15141.2042
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 3.5724467 6677.8606 48.371030 1982-1999 –> 2000-2012 6.7491780 15495.6468
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1015239 6329.8603 23.435647 1982-1999 –> 2000-2012 6.2545453 15124.0252
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.6592521 3858.1354 23.416228 2000-2012 –> 2013-2019 7.0164443 10382.1231
Atlantic (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.6541305 3858.1521 23.103931 2000-2012 –> 2013-2019 7.0072460 10381.1313
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 3.6881750 3867.2835 23.611024 2000-2012 –> 2013-2019 7.0464806 10390.0923
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.6760448 3864.6187 23.747093 2000-2012 –> 2013-2019 7.0307651 10386.7827
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate 3.7060436 3876.1272 23.590048 2000-2012 –> 2013-2019 7.2808949 10555.6539
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.6191946 3844.5491 23.174446 2000-2012 –> 2013-2019 6.7233083 10176.4761
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.7000426 3875.8325 23.248539 2000-2012 –> 2013-2019 7.2695240 10553.6371
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.6198780 3842.8164 23.176587 2000-2012 –> 2013-2019 6.7363232 10182.5601
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 3.7397860 3888.9612 24.138528 2000-2012 –> 2013-2019 7.3122327 10566.8218
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.6162841 3843.4099 23.009079 2000-2012 –> 2013-2019 6.7178080 10173.2702
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.7264731 10255.0653 25.971081 1982-1999 –> 2000-2012 7.5750079 24681.2130
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.4689163 9988.7768 26.182434 1982-1999 –> 2000-2012 6.8341017 23717.6932
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate 3.6804796 10208.5431 25.149250 1982-1999 –> 2000-2012 7.4802482 24568.2512
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.5434268 10068.3869 20.829459 1982-1999 –> 2000-2012 7.1567877 24168.0224
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.6324901 10159.3780 24.215864 1982-1999 –> 2000-2012 7.3632160 24423.5486
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.4406075 9958.0813 25.533003 1982-1999 –> 2000-2012 6.7857579 23655.8869
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.3840311 9895.9711 24.001342 1982-1999 –> 2000-2012 6.6687908 23498.8599
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 3.6710842 10198.9682 24.975029 1982-1999 –> 2000-2012 7.4587568 24542.0645
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate 3.7634895 10292.0921 31.113426 1982-1999 –> 2000-2012 7.3583617 24363.0007
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.4359663 9953.0247 25.417433 1982-1999 –> 2000-2012 6.7771577 23644.6605
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.5837483 5316.4445 25.665693 2000-2012 –> 2013-2019 7.3102215 15571.5098
Atlantic (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.2269764 5112.0728 26.622503 2000-2012 –> 2013-2019 6.6958927 15100.8496
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate 3.5498085 5297.7178 24.905663 2000-2012 –> 2013-2019 7.2302882 15506.2609
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.4813190 5261.3764 21.913485 2000-2012 –> 2013-2019 7.0247458 15329.7633
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.5146493 5278.1284 23.980176 2000-2012 –> 2013-2019 7.1471394 15437.5065
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.2171023 5106.0417 26.266907 2000-2012 –> 2013-2019 6.6577097 15064.1230
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.2118152 5102.8048 25.221935 2000-2012 –> 2013-2019 6.5958463 14998.7759
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 3.5444293 5294.7333 24.770831 2000-2012 –> 2013-2019 7.2155135 15493.7015
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate 3.3827484 5202.8500 30.888148 2000-2012 –> 2013-2019 7.1462379 15494.9421
Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.2161937 5105.4858 26.217263 2000-2012 –> 2013-2019 6.6521599 15058.5106
Atlantic (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 1.2475057 4115.4919 11.681642 1982-1999 –> 2000-2012 2.3751558 9172.5778
Atlantic (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.2368443 4096.0174 12.053256 1982-1999 –> 2000-2012 2.3551341 9127.7802
Atlantic (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 1.2502980 4119.0857 11.775302 1982-1999 –> 2000-2012 2.3946308 9222.3121
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.2416036 4103.6265 11.776967 1982-1999 –> 2000-2012 2.3610700 9136.8361
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.1334437 3877.5861 11.814625 1982-1999 –> 2000-2012 2.1779240 8685.5231
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.2529740 4128.4351 12.115991 1982-1999 –> 2000-2012 2.3835132 9195.9088
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.2129605 4045.2306 12.073160 1982-1999 –> 2000-2012 2.3511400 9132.7826
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 1.2587069 4137.8566 11.813569 1982-1999 –> 2000-2012 2.3910640 9208.5971
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0870369 3772.9900 12.684409 1982-1999 –> 2000-2012 2.1112381 8516.6574
Atlantic (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.2572997 4137.0580 12.139410 1982-1999 –> 2000-2012 2.3929596 9219.3455
Atlantic (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 1.3648597 2409.7663 12.682016 2000-2012 –> 2013-2019 2.6123654 6525.2582
Atlantic (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.3571562 2403.9214 12.930769 2000-2012 –> 2013-2019 2.5940005 6499.9387
Atlantic (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 1.3649159 2407.8235 12.696647 2000-2012 –> 2013-2019 2.6152139 6526.9092
Atlantic (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.3629209 2407.7961 12.672908 2000-2012 –> 2013-2019 2.6045245 6511.4226
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.2557862 2296.3267 13.312258 2000-2012 –> 2013-2019 2.3892300 6173.9128
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.3734219 2420.4341 12.959658 2000-2012 –> 2013-2019 2.6263960 6548.8692
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.3166795 2359.9555 13.296424 2000-2012 –> 2013-2019 2.5296400 6405.1861
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 1.3804589 2425.5174 12.676516 2000-2012 –> 2013-2019 2.6391658 6563.3740
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2275125 2264.7647 13.894436 2000-2012 –> 2013-2019 2.3145494 6037.7546
Atlantic (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.3764354 2423.4718 12.976275 2000-2012 –> 2013-2019 2.6337352 6560.5299
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 0.9774750 3915.6521 11.098205 1982-1999 –> 2000-2012 1.7435710 8277.1522
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.9595832 3865.9997 10.592064 1982-1999 –> 2000-2012 1.7037774 8120.0329
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.9674322 3886.7768 10.929934 1982-1999 –> 2000-2012 1.7138074 8149.8542
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.9182114 3742.7762 11.399096 1982-1999 –> 2000-2012 1.6076731 7708.5101
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.9709699 3898.9825 10.645013 1982-1999 –> 2000-2012 1.7256691 8205.9170
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.9835167 3934.8807 10.770264 1982-1999 –> 2000-2012 1.7506778 8303.6240
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 0.9800064 3922.8835 11.017377 1982-1999 –> 2000-2012 1.7375651 8242.0905
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8834679 3634.9269 10.717659 1982-1999 –> 2000-2012 1.5391370 7410.9989
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.9743700 3908.7562 10.653788 1982-1999 –> 2000-2012 1.7339779 8240.1584
Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 0.9841578 3934.7027 11.044040 1982-1999 –> 2000-2012 1.7472134 8281.1951
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 1.0250101 2067.7448 12.949022 2000-2012 –> 2013-2019 2.0024851 5983.3969
Atlantic (28.1,28.15] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.0136504 2053.8751 12.476046 2000-2012 –> 2013-2019 1.9732336 5919.8749
Atlantic (28.1,28.15] cstar_tref ~ aou + phosphate + phosphate_star 1.0250134 2065.7493 12.951158 2000-2012 –> 2013-2019 2.0065851 5991.0955
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.0224393 2064.1688 12.892575 2000-2012 –> 2013-2019 1.9898715 5950.9456
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.8887209 1866.5762 14.233926 2000-2012 –> 2013-2019 1.8069323 5609.3524
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.0303966 2077.2084 12.531767 2000-2012 –> 2013-2019 2.0013665 5976.1908
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.9596419 1973.9067 13.374384 2000-2012 –> 2013-2019 1.9282382 5864.0457
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 1.0403664 2088.9203 12.990054 2000-2012 –> 2013-2019 2.0203727 6011.8038
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8580498 1816.5638 13.367518 2000-2012 –> 2013-2019 1.7415177 5451.4907
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.0338824 2082.0176 12.541229 2000-2012 –> 2013-2019 2.0082524 5990.7738
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 0.7128403 4361.8539 11.277834 1982-1999 –> 2000-2012 1.2735778 9176.1060
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.7064919 4327.8390 11.895695 1982-1999 –> 2000-2012 1.2578151 9047.3433
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate 0.7260992 4436.0502 11.436376 1982-1999 –> 2000-2012 1.2971308 9354.2493
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.5653152 3430.3296 11.957379 1982-1999 –> 2000-2012 0.9934276 6704.5603
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.7289031 4451.5668 11.454276 1982-1999 –> 2000-2012 1.3019921 9390.3168
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.7176256 4388.7903 12.118912 1982-1999 –> 2000-2012 1.2777278 9196.5647
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.7176231 4390.7763 12.132043 1982-1999 –> 2000-2012 1.2768906 9192.0288
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7173564 4389.2800 12.253531 1982-1999 –> 2000-2012 1.2757504 9181.6009
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 0.7322460 4469.9892 11.502585 1982-1999 –> 2000-2012 1.3110398 9465.3370
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.7233772 4422.9290 12.209051 1982-1999 –> 2000-2012 1.2895617 9294.4191
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 0.8627185 2752.8618 10.431681 2000-2012 –> 2013-2019 1.5755588 7114.7157
Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.8603287 2748.8812 10.768626 2000-2012 –> 2013-2019 1.5668206 7076.7202
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate 0.8788707 2792.8540 10.584880 2000-2012 –> 2013-2019 1.6049699 7228.9043
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.7024690 2311.8314 11.026909 2000-2012 –> 2013-2019 1.2677842 5742.1610
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.8821824 2800.9631 10.600095 2000-2012 –> 2013-2019 1.6110855 7252.5299
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.8758629 2785.4631 11.227380 2000-2012 –> 2013-2019 1.5934885 7174.2534
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.8749415 2785.1936 11.005757 2000-2012 –> 2013-2019 1.5925646 7175.9699
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.8756887 2787.0340 11.132298 2000-2012 –> 2013-2019 1.5930451 7176.3139
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 0.8844274 2806.4427 10.649831 2000-2012 –> 2013-2019 1.6166735 7276.4319
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.8803387 2798.4525 11.075788 2000-2012 –> 2013-2019 1.6037159 7221.3815
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 0.8148182 10271.5526 4.947026 1982-1999 –> 2000-2012 1.4402359 21553.4421
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate 0.6812426 8758.6099 16.599860 1982-1999 –> 2000-2012 1.4608440 22655.7659
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.5723821 7289.3651 8.241024 1982-1999 –> 2000-2012 1.0948203 16438.0471
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.5786277 7379.0689 6.882067 1982-1999 –> 2000-2012 1.1067223 16653.5526
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.5202361 6482.1877 8.300257 1982-1999 –> 2000-2012 1.0014051 14654.2715
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 0.6753154 8684.7681 6.816568 1982-1999 –> 2000-2012 1.2318027 18580.7669
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.5782882 7376.1105 8.428294 1982-1999 –> 2000-2012 1.1059964 16643.9060
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5696464 7248.8817 8.521425 1982-1999 –> 2000-2012 1.0936375 16432.7869
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.6765508 8702.2125 9.628805 1982-1999 –> 2000-2012 1.3021562 19989.6626
Atlantic (28.2, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.5850278 7474.0197 8.468576 1982-1999 –> 2000-2012 1.1195587 16894.2740
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate 1.0713973 7143.0033 20.055030 2000-2012 –> 2013-2019 1.8441150 16964.2733
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate 0.9599439 6618.4107 22.562392 2000-2012 –> 2013-2019 1.6411866 15377.0207
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 0.7463577 5413.9053 11.208319 2000-2012 –> 2013-2019 1.3187398 12703.2704
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.7525466 5451.4937 9.839257 2000-2012 –> 2013-2019 1.3311743 12830.5626
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 0.6477785 4734.8056 8.935176 2000-2012 –> 2013-2019 1.1680146 11216.9934
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 0.8922617 6267.8955 8.940761 2000-2012 –> 2013-2019 1.5675771 14952.6635
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 0.7554325 5471.8426 11.457833 2000-2012 –> 2013-2019 1.3337207 12847.9531
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7432499 5393.9015 11.501170 2000-2012 –> 2013-2019 1.3128963 12642.7832
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7984159 5737.1392 9.067261 2000-2012 –> 2013-2019 1.4749668 14439.3518
Atlantic (28.2, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 0.7625288 5516.6663 11.550050 2000-2012 –> 2013-2019 1.3475566 12990.6860
Indo-Pacific (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 7.5868039 38725.9406 30.139922 1982-1999 –> 2000-2012 15.5263186 92393.3935
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 7.3660796 38394.2002 33.868546 1982-1999 –> 2000-2012 15.0749592 91608.5564
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 7.2976706 38289.3636 31.217017 1982-1999 –> 2000-2012 14.9297213 91349.7693
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7.2236456 38174.8076 31.349003 1982-1999 –> 2000-2012 14.7830617 91088.2359
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 7.5119852 38612.5848 28.234413 1982-1999 –> 2000-2012 15.3711529 92121.7026
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 7.3475675 38365.9268 29.026869 1982-1999 –> 2000-2012 15.0050094 91477.3826
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate_star 7.4404121 38505.0166 28.410625 1982-1999 –> 2000-2012 15.2266037 91870.7498
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 7.5737306 38704.5625 34.740425 1982-1999 –> 2000-2012 15.5183361 92379.8674
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 7.1871685 38117.9257 31.541247 1982-1999 –> 2000-2012 14.7011125 90938.6197
Indo-Pacific (-Inf,26] cstar_tref ~ temp + silicate + phosphate + phosphate_star 7.4261688 38483.4867 28.396384 1982-1999 –> 2000-2012 15.1909526 91806.9026
Indo-Pacific (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 7.3569720 20269.3299 24.883073 2000-2012 –> 2013-2019 14.9437759 58995.2706
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 7.1390666 20090.9760 30.448274 2000-2012 –> 2013-2019 14.5051462 58485.1763
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 7.0604424 20025.2831 25.534427 2000-2012 –> 2013-2019 14.3581130 58314.6467
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6.9778397 19955.4733 25.727371 2000-2012 –> 2013-2019 14.2014853 58130.2810
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 7.2631462 20191.1907 23.989973 2000-2012 –> 2013-2019 14.7751314 58803.7754
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 7.0534332 20019.3913 25.149238 2000-2012 –> 2013-2019 14.4010006 58385.3181
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate_star 7.1829535 20125.3309 24.222682 2000-2012 –> 2013-2019 14.6233656 58630.3475
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 7.4261955 20322.8845 29.299454 2000-2012 –> 2013-2019 14.9999260 59027.4470
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 6.9434765 19926.1883 25.835960 2000-2012 –> 2013-2019 14.1306450 58044.1140
Indo-Pacific (-Inf,26] cstar_tref ~ temp + silicate + phosphate + phosphate_star 7.1702245 20114.8095 24.195783 2000-2012 –> 2013-2019 14.5963933 58598.2961
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7927579 35691.2601 49.303084 1982-1999 –> 2000-2012 9.3049181 84523.7332
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.9432773 36058.7225 42.584321 1982-1999 –> 2000-2012 9.6357525 85543.0229
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 5.3140691 36924.9131 52.659202 1982-1999 –> 2000-2012 10.2644293 87303.9170
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.7716832 35638.6065 48.875067 1982-1999 –> 2000-2012 9.2281132 84263.7057
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.8068077 35726.2342 48.677503 1982-1999 –> 2000-2012 9.2716544 84382.8177
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.9509994 36077.3723 41.437095 1982-1999 –> 2000-2012 9.6267773 85502.1927
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.9361025 36043.3683 42.245436 1982-1999 –> 2000-2012 9.6093231 85461.0601
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.9950409 36183.1857 49.382037 1982-1999 –> 2000-2012 9.6928243 85686.3507
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.8173171 35752.3282 50.897830 1982-1999 –> 2000-2012 9.2892156 84435.2449
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5.0021764 36200.2413 50.654439 1982-1999 –> 2000-2012 9.7072225 85729.1828
Indo-Pacific (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7101464 18793.7275 49.241906 2000-2012 –> 2013-2019 9.5029043 54484.9876
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.9160569 19062.4030 39.841092 2000-2012 –> 2013-2019 9.8593342 55121.1254
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.6698636 18739.3926 47.180582 2000-2012 –> 2013-2019 9.4415467 54377.9991
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.6921156 18769.4646 45.154919 2000-2012 –> 2013-2019 9.4989234 54495.6988
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.9136860 19059.3514 36.964086 2000-2012 –> 2013-2019 9.8646854 55136.7237
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.9051301 19050.3267 38.488949 2000-2012 –> 2013-2019 9.8412326 55093.6949
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.9497060 19105.5552 34.611329 2000-2012 –> 2013-2019 9.9447469 55288.7409
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.6986388 18778.2532 44.741204 2000-2012 –> 2013-2019 9.5159559 54530.5814
Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 5.1100800 19307.2716 32.285755 2000-2012 –> 2013-2019 10.4479098 56283.4886
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.9535006 19110.4031 34.415843 2000-2012 –> 2013-2019 9.9556770 55310.6444
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.2811321 28645.8728 27.331522 1982-1999 –> 2000-2012 8.4032005 67972.0541
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1452590 28326.4474 26.493351 1982-1999 –> 2000-2012 8.1658465 67308.9901
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.2530081 28580.1873 22.088300 1982-1999 –> 2000-2012 8.3293645 67751.7414
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 4.3626250 28833.7963 27.475867 1982-1999 –> 2000-2012 8.5526422 68386.6832
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.2220898 28509.4724 24.925265 1982-1999 –> 2000-2012 8.3014092 67693.1018
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.2485213 28571.6678 26.694140 1982-1999 –> 2000-2012 8.3505664 67832.3298
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.3495707 28805.9303 29.988880 1982-1999 –> 2000-2012 8.5363621 68350.1381
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4.3727026 28856.7911 24.913709 1982-1999 –> 2000-2012 8.5429722 68344.1730
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.1256713 28279.2431 22.364969 1982-1999 –> 2000-2012 8.1263545 67192.9706
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.3481128 28802.5893 29.798287 1982-1999 –> 2000-2012 8.5412101 68367.6654
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.5593353 15861.1509 30.470043 2000-2012 –> 2013-2019 8.8404674 44507.0236
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.4130876 15687.1638 29.962138 2000-2012 –> 2013-2019 8.5583466 44013.6111
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5664310 15869.5452 24.381318 2000-2012 –> 2013-2019 8.8194391 44449.7325
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 4.6467180 15963.6282 30.344646 2000-2012 –> 2013-2019 9.0093430 44797.4245
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.5150845 15810.5044 28.612445 2000-2012 –> 2013-2019 8.7371743 44319.9768
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.5207182 15817.2356 29.839279 2000-2012 –> 2013-2019 8.7692395 44388.9034
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.6288162 15944.7918 34.660703 2000-2012 –> 2013-2019 8.9783869 44750.7221
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4602774 15744.5790 23.480597 2000-2012 –> 2013-2019 8.5859487 44023.8221
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.6233018 15938.3573 34.223604 2000-2012 –> 2013-2019 8.9714146 44740.9466
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.6594536 15978.4026 35.975237 2000-2012 –> 2013-2019 9.0109131 44786.6597
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.6399830 36253.2761 21.107104 1982-1999 –> 2000-2012 8.7548163 84973.7748
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.5564211 36032.2906 19.488465 1982-1999 –> 2000-2012 8.6082499 84489.5474
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 4.6964246 36399.6301 19.956325 1982-1999 –> 2000-2012 8.8547652 85298.9295
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.6600497 36306.2261 18.631871 1982-1999 –> 2000-2012 8.7902595 85090.8415
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 4.8419672 36776.1055 20.669118 1982-1999 –> 2000-2012 9.1638075 86340.3408
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.4028569 35611.6277 25.049247 1982-1999 –> 2000-2012 8.2702576 83268.0766
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.7423984 36523.1585 19.577788 1982-1999 –> 2000-2012 8.9858981 85774.9371
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.4147522 35642.7332 25.003944 1982-1999 –> 2000-2012 8.2874817 83320.8516
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 4.8642728 36832.5001 21.820620 1982-1999 –> 2000-2012 9.2021901 86460.5623
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.3524014 35470.2051 23.266241 1982-1999 –> 2000-2012 8.1741859 82922.6919
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.9884079 19850.8187 23.486572 2000-2012 –> 2013-2019 9.6283909 56104.0949
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.9202816 19762.6670 21.922013 2000-2012 –> 2013-2019 9.4767028 55794.9576
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 5.0571210 19938.5085 21.624849 2000-2012 –> 2013-2019 9.7535456 56338.1386
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.0323654 19908.3367 20.355745 2000-2012 –> 2013-2019 9.6924151 56214.5628
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 5.1896442 20110.0977 23.217830 2000-2012 –> 2013-2019 10.0316114 56886.2031
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.7954362 19594.1706 28.245574 2000-2012 –> 2013-2019 9.1982931 55205.7983
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5.1084976 20008.7764 21.400145 2000-2012 –> 2013-2019 9.8508960 56531.9349
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.8134874 19616.8027 28.200886 2000-2012 –> 2013-2019 9.2282396 55259.5358
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.7660416 19553.8606 26.508381 2000-2012 –> 2013-2019 9.1184429 55024.0656
Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5.2131782 20141.7606 20.236446 2000-2012 –> 2013-2019 10.0652359 56945.4098
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4.5021189 45466.3710 65.632305 1982-1999 –> 2000-2012 8.2617821 104244.6564
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.9305914 43357.6017 50.351419 1982-1999 –> 2000-2012 7.2203802 99277.9211
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.4247843 45196.9766 41.955348 1982-1999 –> 2000-2012 8.1249236 103633.3899
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4.3375956 44889.5506 56.946755 1982-1999 –> 2000-2012 7.9920401 103061.7660
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.0514218 43828.3636 50.913243 1982-1999 –> 2000-2012 7.4402162 100383.8640
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1791804 44311.0866 51.794122 1982-1999 –> 2000-2012 7.6800403 101563.5385
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.4560374 45306.4093 48.916173 1982-1999 –> 2000-2012 8.2124151 104065.9656
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0073313 43658.2318 33.755013 1982-1999 –> 2000-2012 7.3874781 100158.9966
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.1508034 44205.1545 50.909898 1982-1999 –> 2000-2012 7.6365466 101364.9056
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.6885919 46097.3735 74.666491 1982-1999 –> 2000-2012 8.3845011 104509.2823
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.7950276 24879.7489 41.816601 2000-2012 –> 2013-2019 8.7256190 68237.3506
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.1723556 25508.4330 36.033755 2000-2012 –> 2013-2019 9.5971399 70705.4095
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 5.2299021 25602.5547 46.590936 2000-2012 –> 2013-2019 9.5674977 70492.1053
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.9214351 25096.3973 40.957099 2000-2012 –> 2013-2019 8.9728569 68924.7609
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5.0612734 25329.6746 41.047414 2000-2012 –> 2013-2019 9.2404538 69640.7612
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 5.2479146 25629.1814 44.123913 2000-2012 –> 2013-2019 9.7039521 70935.5907
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 5.3069909 25722.3843 34.100429 2000-2012 –> 2013-2019 9.8813519 71436.2618
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5859941 24508.6376 29.369756 2000-2012 –> 2013-2019 8.5933254 68166.8694
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5.0059229 25238.1192 40.194764 2000-2012 –> 2013-2019 9.1567263 69443.2737
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5.3936438 25857.2339 32.776574 2000-2012 –> 2013-2019 10.0822286 71954.5835
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate 3.5846172 39642.5676 35.210305 1982-1999 –> 2000-2012 6.5889632 89349.3686
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.5442854 39478.2124 33.119042 1982-1999 –> 2000-2012 6.5214925 89007.9965
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate 3.9190528 40951.9609 34.177695 1982-1999 –> 2000-2012 7.1155061 91879.5418
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.9190508 40953.9533 34.193317 1982-1999 –> 2000-2012 7.1120891 91862.4462
Indo-Pacific (27.25,27.5] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 3.6611284 39953.0695 36.743151 1982-1999 –> 2000-2012 6.8014813 90533.3335
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.5588061 39538.3224 33.535467 1982-1999 –> 2000-2012 6.5436913 89118.9192
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.5962591 39692.2384 33.645030 1982-1999 –> 2000-2012 6.6115668 89472.8886
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 3.9158318 40941.8725 34.793882 1982-1999 –> 2000-2012 7.1117275 91868.0123
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3267764 38547.0941 33.862527 1982-1999 –> 2000-2012 6.1814837 87247.9800
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.5808266 39629.0125 33.735499 1982-1999 –> 2000-2012 6.5862733 89345.0402
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate 4.1761961 22280.3169 34.190224 2000-2012 –> 2013-2019 7.7608133 61922.8845
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1080923 22153.7731 31.032474 2000-2012 –> 2013-2019 7.6523777 61631.9855
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate_star 4.4215916 22726.7163 37.658975 2000-2012 –> 2013-2019 8.2316405 63265.9636
Indo-Pacific (27.25,27.5] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 4.2442517 22406.6927 35.567711 2000-2012 –> 2013-2019 7.9053801 62359.7622
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.1296917 22194.7707 31.548038 2000-2012 –> 2013-2019 7.6884978 61733.0931
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1716917 22273.8800 31.636730 2000-2012 –> 2013-2019 7.7679508 61966.1184
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 4.5607941 22969.0511 33.574406 2000-2012 –> 2013-2019 8.4766259 63910.9236
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7917291 21527.2650 33.525325 2000-2012 –> 2013-2019 7.1185055 60074.3591
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate 4.4112174 22708.3517 37.896401 2000-2012 –> 2013-2019 8.3048321 63566.5724
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.1523852 22237.6146 31.779135 2000-2012 –> 2013-2019 7.7332119 61866.6271
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate 3.5002840 41659.7479 18.872124 1982-1999 –> 2000-2012 6.0043375 91853.2508
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.4751473 41549.4015 12.751786 1982-1999 –> 2000-2012 5.9758028 91715.7444
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.4753535 41548.3262 12.719786 1982-1999 –> 2000-2012 5.9921457 91850.7957
Indo-Pacific (27.5,27.75] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 3.4833700 41584.2410 16.063873 1982-1999 –> 2000-2012 5.9888367 91789.8604
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.4613262 41487.2821 12.654128 1982-1999 –> 2000-2012 5.9572345 91612.8204
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4706167 41529.0656 12.848124 1982-1999 –> 2000-2012 5.9808706 91777.6762
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3465693 40961.7162 16.041525 1982-1999 –> 2000-2012 5.7867816 90602.6360
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate 3.4613264 41485.2830 12.653218 1982-1999 –> 2000-2012 6.0218760 92157.8947
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.4608820 41485.2815 12.606702 1982-1999 –> 2000-2012 5.9659912 91689.8365
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.6114711 42147.2014 13.276893 1982-1999 –> 2000-2012 6.1976147 93033.3909
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate 4.1605794 23502.6479 19.653708 2000-2012 –> 2013-2019 7.6608634 65162.3959
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4.1128492 23409.3646 13.800794 2000-2012 –> 2013-2019 7.5879966 64958.7661
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate_star 4.1216340 23424.9844 13.944291 2000-2012 –> 2013-2019 7.5969875 64973.3106
Indo-Pacific (27.5,27.75] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 4.1460561 23473.7714 18.214755 2000-2012 –> 2013-2019 7.6294260 65058.0124
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 4.1171146 23415.9245 15.081845 2000-2012 –> 2013-2019 7.6441931 65194.5432
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4.0936163 23370.6571 13.720462 2000-2012 –> 2013-2019 7.5549424 64857.9392
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.0991806 23381.8742 13.905267 2000-2012 –> 2013-2019 7.5697972 64910.9398
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0078073 23195.7158 18.686528 2000-2012 –> 2013-2019 7.3543767 64157.4320
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate 4.1133746 23408.4194 14.284277 2000-2012 –> 2013-2019 7.5747010 64893.7024
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4.0869642 23357.2270 13.669539 2000-2012 –> 2013-2019 7.5478462 64842.5086
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.6504485 15740.3948 24.213892 1982-1999 –> 2000-2012 4.7358147 34954.1082
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6639007 15771.6562 22.864245 1982-1999 –> 2000-2012 4.7506750 34989.3863
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.6622908 15769.6846 23.974496 1982-1999 –> 2000-2012 4.7569277 35022.9376
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.6591998 15762.0521 23.846206 1982-1999 –> 2000-2012 4.7566374 35027.2164
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2.6774761 15805.0523 22.507350 1982-1999 –> 2000-2012 4.7742163 35065.2519
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5894484 15587.4191 22.616594 1982-1999 –> 2000-2012 4.6493209 34691.4864
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2.6754414 15800.0577 22.315474 1982-1999 –> 2000-2012 4.7755899 35074.7356
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.6592987 15762.2964 23.729702 1982-1999 –> 2000-2012 4.7574161 35030.3490
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.6593135 15760.3330 23.663705 1982-1999 –> 2000-2012 4.7609594 35041.3641
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.6742233 15797.0656 22.252997 1982-1999 –> 2000-2012 4.7746561 35072.9500
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.1247872 9382.5119 28.702969 2000-2012 –> 2013-2019 5.7752357 25122.9067
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.1623956 9424.3228 26.054041 2000-2012 –> 2013-2019 5.8262963 25195.9790
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3.1160361 9372.2419 28.696816 2000-2012 –> 2013-2019 5.7989160 25192.5408
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.1423230 9403.0050 28.359409 2000-2012 –> 2013-2019 5.8046139 25172.6896
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.1360230 9395.6558 28.171900 2000-2012 –> 2013-2019 5.7952229 25157.7079
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.1181258 9372.6970 27.929897 2000-2012 –> 2013-2019 5.8034609 25197.0054
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0638417 9310.3829 25.606619 2000-2012 –> 2013-2019 5.6532901 24897.8020
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.1371545 9396.9768 28.005378 2000-2012 –> 2013-2019 5.7964532 25159.2732
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.1412078 9399.7051 26.707078 2000-2012 –> 2013-2019 5.8005213 25160.0380
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.1772820 9441.5205 25.163431 2000-2012 –> 2013-2019 5.8515052 25238.5861
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2.7317430 19630.8718 30.448131 1982-1999 –> 2000-2012 4.8397490 43766.0770
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.7317138 19632.7852 30.486796 1982-1999 –> 2000-2012 4.8293185 43714.8680
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate 2.7442058 19667.7144 30.431636 1982-1999 –> 2000-2012 4.8598788 43843.3775
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.6861213 19496.5559 29.464719 1982-1999 –> 2000-2012 4.7804696 43561.3244
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 2.7461187 19673.3544 30.533650 1982-1999 –> 2000-2012 4.8647366 43864.5191
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.7441833 19669.6481 30.398840 1982-1999 –> 2000-2012 4.8515840 43803.6525
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.7460735 19675.2212 30.486126 1982-1999 –> 2000-2012 4.8570747 43828.2496
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.7622174 19722.6658 36.840204 1982-1999 –> 2000-2012 4.8659967 43837.5037
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 2.7445104 19668.6126 30.353119 1982-1999 –> 2000-2012 4.8631000 43859.6282
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.7444919 19670.5582 30.323963 1982-1999 –> 2000-2012 4.8553753 43822.9643
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3.1010959 10939.1735 36.520392 2000-2012 –> 2013-2019 5.8328389 30570.0453
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3.0878252 10922.8015 35.774533 2000-2012 –> 2013-2019 5.8195390 30555.5866
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.9947627 10791.7023 34.855268 2000-2012 –> 2013-2019 5.6808840 30288.2582
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3.1063522 10948.4287 35.622450 2000-2012 –> 2013-2019 5.8505355 30618.0768
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.1048401 10946.3428 35.696250 2000-2012 –> 2013-2019 5.8509136 30621.5640
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.0546560 10874.5340 40.601759 2000-2012 –> 2013-2019 5.8355436 30649.7242
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0518298 10872.5687 40.735383 2000-2012 –> 2013-2019 5.8140473 30595.2345
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate 3.1116703 10953.7566 36.680011 2000-2012 –> 2013-2019 5.8566036 30623.6166
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3.1049330 10946.4710 35.486032 2000-2012 –> 2013-2019 5.8494249 30617.0292
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 3.1049348 10944.4735 35.452205 2000-2012 –> 2013-2019 5.8649287 30658.6212
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.2967035 18017.3069 8.228265 1982-1999 –> 2000-2012 4.2849991 41700.9662
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.3120843 18068.7036 8.353671 1982-1999 –> 2000-2012 4.3016399 41757.4817
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate 2.3179629 18089.0183 8.513568 1982-1999 –> 2000-2012 4.3180940 41837.3740
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.3063428 18050.8130 8.245862 1982-1999 –> 2000-2012 4.3012794 41771.9447
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.3047817 18045.3961 8.227032 1982-1999 –> 2000-2012 4.3004957 41770.9062
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 2.3238474 18109.3018 8.378052 1982-1999 –> 2000-2012 4.3206146 41838.7407
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.2544584 17868.7863 8.194285 1982-1999 –> 2000-2012 4.2163154 41402.0101
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.3063513 18050.8423 8.246000 1982-1999 –> 2000-2012 4.3020670 41776.3620
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.3167477 18084.8230 8.486770 1982-1999 –> 2000-2012 4.3124717 41808.3899
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.3235661 18108.3331 8.376556 1982-1999 –> 2000-2012 4.3211223 41842.2126
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.5138068 10364.7380 8.427975 2000-2012 –> 2013-2019 4.8105103 28382.0449
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.5377646 10404.6824 9.229857 2000-2012 –> 2013-2019 4.8498490 28473.3861
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2.4926131 10327.2986 7.972626 2000-2012 –> 2013-2019 4.8131089 28427.0538
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.5263182 10386.6921 8.668621 2000-2012 –> 2013-2019 4.8326611 28437.5051
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.5231452 10381.1347 8.599358 2000-2012 –> 2013-2019 4.8279269 28426.5308
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.5010086 10340.1675 8.337462 2000-2012 –> 2013-2019 4.8291105 28464.1022
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.4590057 10267.2720 8.013161 2000-2012 –> 2013-2019 4.7134641 28136.0583
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate 2.5375894 10404.3771 7.812439 2000-2012 –> 2013-2019 4.8439408 28453.2197
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.5256926 10385.5970 8.682726 2000-2012 –> 2013-2019 4.8320439 28436.4393
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2.5463405 10419.6004 9.433968 2000-2012 –> 2013-2019 4.8630882 28504.4235
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.9334638 10741.9349 9.563586 1982-1999 –> 2000-2012 3.5765415 25172.0608
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.9784192 10858.5837 9.042055 1982-1999 –> 2000-2012 3.7329639 25780.7029
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.9420189 10764.7251 9.603850 1982-1999 –> 2000-2012 3.5918243 25225.6036
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.9453950 10773.6914 9.600811 1982-1999 –> 2000-2012 3.6007879 25260.0155
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 1.9858407 10877.9114 9.093728 1982-1999 –> 2000-2012 3.7461202 25824.5895
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.9157522 10694.4304 8.533251 1982-1999 –> 2000-2012 3.6267483 25429.3934
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 1.9867296 10880.2213 9.097437 1982-1999 –> 2000-2012 3.7484473 25833.0461
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate 1.9500504 10784.0293 9.727234 1982-1999 –> 2000-2012 3.6038778 25261.2331
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.9415254 10763.4132 9.598163 1982-1999 –> 2000-2012 3.5916764 25225.8681
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1.9858123 10877.8376 9.088622 1982-1999 –> 2000-2012 3.7468095 25827.5835
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2.1504955 6423.7244 9.871815 2000-2012 –> 2013-2019 4.0839593 17165.6593
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.1864062 6470.3142 9.220877 2000-2012 –> 2013-2019 4.1648254 17328.8979
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2.1617716 6439.0686 9.922912 2000-2012 –> 2013-2019 4.1037904 17203.7937
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.1642258 6442.3976 9.905456 2000-2012 –> 2013-2019 4.1096208 17216.0890
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 2.1963991 6483.6934 9.286354 2000-2012 –> 2013-2019 4.1822399 17361.6048
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.1024626 6357.4484 8.513025 2000-2012 –> 2013-2019 4.0182148 17051.8788
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 2.1965024 6483.8313 9.284327 2000-2012 –> 2013-2019 4.1832320 17364.0527
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate 2.2406475 6542.2139 10.048577 2000-2012 –> 2013-2019 4.1906979 17326.2432
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2.1601913 6436.9230 9.916915 2000-2012 –> 2013-2019 4.1017166 17200.3362
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.1954869 6482.4745 9.276738 2000-2012 –> 2013-2019 4.1812992 17360.3121
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate 1.5361773 73634.6174 8.733378 1982-1999 –> 2000-2012 2.8079755 165389.8842
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.5089135 72923.3001 10.415983 1982-1999 –> 2000-2012 2.7513833 163390.6644
Indo-Pacific (28.1, Inf] cstar_tref ~ nitrate + silicate + phosphate 1.5961189 75157.3811 9.143924 1982-1999 –> 2000-2012 3.1224154 176995.8641
Indo-Pacific (28.1, Inf] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 1.5550775 74121.7200 8.868303 1982-1999 –> 2000-2012 2.8739942 167888.3025
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.7055706 77803.3594 8.833558 1982-1999 –> 2000-2012 3.2382466 179876.4500
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.5143319 73066.0856 10.220413 1982-1999 –> 2000-2012 2.7611966 163728.6687
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.5308210 73497.4825 10.138151 1982-1999 –> 2000-2012 2.7926269 164818.6463
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5798847 74754.1507 14.936959 1982-1999 –> 2000-2012 2.9694396 171407.2658
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate 1.5902102 75011.6448 9.389360 1982-1999 –> 2000-2012 3.0438934 174157.1826
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.5184453 73174.1397 10.078924 1982-1999 –> 2000-2012 2.7707584 164077.7898
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate 1.7983308 42968.1584 20.366211 2000-2012 –> 2013-2019 3.3345082 116602.7758
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1.7716198 42649.6756 20.936949 2000-2012 –> 2013-2019 3.2805333 115572.9757
Indo-Pacific (28.1, Inf] cstar_tref ~ nitrate + silicate + phosphate 1.7986471 42969.9248 20.182997 2000-2012 –> 2013-2019 3.3947661 118127.3058
Indo-Pacific (28.1, Inf] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 1.7982580 42967.2911 20.000847 2000-2012 –> 2013-2019 3.3533355 117089.0111
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1.8705334 43813.1923 19.311389 2000-2012 –> 2013-2019 3.5761040 121616.5517
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1.7776113 42721.9809 20.906050 2000-2012 –> 2013-2019 3.2919432 115788.0666
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.7932852 42909.9867 20.922377 2000-2012 –> 2013-2019 3.3241063 116407.4692
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.7819870 42774.6330 17.106634 2000-2012 –> 2013-2019 3.3618717 117528.7837
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate 1.7904140 42873.6696 19.777606 2000-2012 –> 2013-2019 3.3806242 117885.3144
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1.7794099 42743.6385 20.835004 2000-2012 –> 2013-2019 3.2978552 115917.7782

5.3 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.4 Cant coeffcients

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

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

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

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

5.5 Write files

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

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

6 Model diagnotics

6.1 Selection criterion vs predictors

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

6.1.1 All models

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

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

6.1.2 Best models

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

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

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Version Author Date
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 8 8 8 8 8 6
(26,26.5] 8 10 7 7 5 8
(26.5,26.75] 8 5 8 8 9 8
(26.75,27] 7 5 7 8 10 8
(27,27.25] 8 5 7 7 10 8
(27.25,27.5] 9 10 6 7 6 7
(27.5,27.75] 8 7 6 7 10 7
(27.75,27.85] 9 6 8 7 8 8
(27.85,27.95] 10 5 10 7 5 6
(27.95,28.05] 7 10 8 7 5 8
(28.05,28.1] 9 5 10 8 6 6
(28.1,28.15] 8 6 9 8 8 7
(28.15,28.2] 8 10 7 7 5 8
(28.2, Inf] 9 9 7 7 8 6
total 116.00 101.00 108.00 103.00 103.00 101.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 7 8 9 7 8 7
(26,26.5] 8 10 7 7 5 8
(26.5,26.75] 8 5 8 8 9 8
(26.75,27] 7 5 7 8 10 8
(27,27.25] 8 5 7 7 10 8
(27.25,27.5] 9 10 6 7 6 7
(27.5,27.75] 8 7 6 7 10 7
(27.75,27.85] 8 5 7 7 10 8
(27.85,27.95] 10 5 10 7 5 6
(27.95,28.05] 7 10 8 7 5 8
(28.05,28.1] 9 5 10 8 6 6
(28.1,28.15] 9 5 10 8 6 6
(28.15,28.2] 8 10 7 7 5 8
(28.2, Inf] 9 9 6 6 9 6
total 115.00 99.00 108.00 101.00 104.00 101.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 7 6 8 8 8 9
(26,26.5] 8 5 8 8 9 8
(26.5,26.75] 9 7 9 7 7 7
(26.75,27] 10 5 10 7 5 6
(27,27.25] 8 7 8 9 7 7
(27.25,27.5] 8 6 9 6 10 5
(27.5,27.75] 6 8 8 7 10 6
(27.75,27.85] 7 5 7 8 10 8
(27.85,27.95] 8 9 8 8 5 8
(27.95,28.05] 7 6 7 7 10 8
(28.05,28.1] 7 5 8 7 10 8
(28.1, Inf] 6 9 9 6 9 6
total 91.00 78.00 99.00 88.00 100.00 86.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 6 8 8 8 9
(26,26.5] 7 5 7 8 10 8
(26.5,26.75] 8 8 8 8 7 7
(26.75,27] 9 6 10 8 5 6
(27,27.25] 8 5 9 8 8 8
(27.25,27.5] 7 8 8 6 10 6
(27.5,27.75] 7 9 7 6 10 6
(27.75,27.85] 7 6 8 9 8 8
(27.85,27.95] 7 8 8 8 7 8
(27.95,28.05] 7 7 8 8 8 8
(28.05,28.1] 7 5 8 7 10 8
(28.1, Inf] 6 9 9 6 9 6
total 87.00 82.00 98.00 90.00 100.00 88.00

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
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

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

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

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

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

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

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

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