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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

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

# lm_rm <- lm_rm_ph %>%
#   select(-lm_coeff_filter) %>%
#   unique()
# 
# lm_all <- anti_join(lm_all, lm_rm)

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

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

# lm_full <- lm(paste(
#   params_local$MLR_target,
#   paste(params_local$MLR_predictors, collapse = " + "),
#   sep = " ~ "
# ),
# data = GLODAP_basin_era_slab)
# 
# lm_full <-
#   loess(
#     cstar_tref ~ sal + temp + aou + phosphate,
#     span = 0.1,
#     degree = 1,
#     data = GLODAP_basin_era_slab
#   )

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 112

4 Fit all models

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

  • cstar_tref

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

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # number of observations used for each fitting model
      i_nr_obs = nrow(GLODAP_basin_era_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        #i_predictors <- unique(lm_all$predictors)[100]
        
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        if (i_nr_obs > i_n_predictors) {
          # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
          
          # find max predictor correlation
          i_cor_max <- GLODAP_basin_era_slab %>%
            select(!!!syms(str_split(i_predictors, " ",
                                     simplify = TRUE))) %>%
            correlate(quiet = TRUE) %>%
            select(-term) %>%
            abs() %>%
            max(na.rm = TRUE)
          
          # calculate root mean squared error
          i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                           length(i_lm_fit$residuals))
          
          # calculate maximum residual
          i_resid_max <- max(abs(i_lm_fit$residuals))
          
          # calculate Akaike information criterion aic
          i_aic <- AIC(i_lm_fit)
          
          # calculate max VIF
          if (is.na(max(i_lm_fit$coefficients))){
            i_vif_max <- as.double("NA")
          } else{
          i_vif_max <- max(vif(i_lm_fit))
          }
          
          # collect model coefficients and diagnostics
          coefficients <- tidy(i_lm_fit)
          
          coefficients <- coefficients %>%
            mutate(
              basin = i_basin,
              era = i_era,
              gamma_slab = i_gamma_slab,
              model = i_lm,
              nr_obs = i_nr_obs,
              rmse = i_rmse,
              aic = i_aic,
              vif_max = i_vif_max,
              resid_max = i_resid_max,
              n_predictors = i_n_predictors,
              na_predictor = anyNA(coefficients$estimate),
              cor_max = i_cor_max
            )
          
          if (exists("lm_all_fitted")) {
            lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
          }
          
          if (!exists("lm_all_fitted")) {
            lm_all_fitted <- coefficients
          }
        }
      }
    }
  }
}

rm(
  i_lm_fit,
  coefficients,
  i_rmse,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  i_lm,
  i_basin,
  i_era,
  i_gamma_slab,
  i_nr_obs,
  i_predictors,
  i_aic,
  i_vif_max,
  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

# lm_all_fitted <- lm_all_fitted_1

# lm_all_fitted <-
#   read_csv(paste(path_version_data,
#                   "lm_all_fitted.csv",
#                   sep = ""))

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

5.3 VIF threshold

To avoid multicollinearity among predictors, models were excluded with a VIF above:

  • 20

After removing models affected by multicollinearity, the targeted number of MLRs (10) was undercut in following fitting units:

# remove models with predictors fitted as NA
lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(vif_max <= params_local$vif_max)

# lm_all_fitted_wide_check <- lm_all_fitted_wide %>%
#   group_by(era, basin, gamma_slab) %>% 
#   count() 
#   filter(n < params_local$MLR_number)
# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide %>%
  select(basin, gamma_slab, n_predictors, model, era, nr_obs, rmse, aic, vif_max, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    rmse_lag = lag(rmse),
    aic_sum = aic + lag(aic),
    vif_max_sum = vif_max + lag(vif_max)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na() %>%
  filter(eras != "1982-1999 --> 2010-2019",
         eras != "1982-1999 --> 2008-2019")

#filter tripairs
lm_all_fitted_wide_eras <- lm_all_fitted_wide_eras %>%
  mutate(rmse = round(rmse, digits = 7), rmse_lag = round(rmse_lag, digits = 7)) %>%
  group_by(basin, gamma_slab, eras, rmse) %>%
  sample_n(1) %>%
  ungroup()

# calculate rank for each era
lm_all_fitted_wide_eras <- lm_all_fitted_wide_eras %>%
  group_by(eras, basin, gamma_slab) %>% 
  mutate(rank = rank(rmse, ties.method="first"),
         rank_sum = rank + rank(rmse_lag, ties.method="first")) %>%
  ungroup()

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

5.4 RMSE tables

5.4.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab n_predictors model nr_obs rmse aic vif_max resid_max eras rmse_sum rmse_lag aic_sum vif_max_sum rank rank_sum
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 103 1.1623550 337.2937 13.158292 4.067373 1982-1999 –> 2000-2009 2.564673 1.4023180 1029.5208 23.834471 1 2
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 103 1.1970202 343.3474 8.079841 4.500359 1982-1999 –> 2000-2009 2.679919 1.4828991 1057.1413 17.723134 2 4
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 103 1.1992688 343.7340 11.696921 4.517320 1982-1999 –> 2000-2009 2.682634 1.4833656 1057.6493 21.809975 3 6
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 103 1.2233325 345.8266 5.955195 4.799616 1982-1999 –> 2000-2009 2.706720 1.4833871 1057.7475 10.302062 4 8
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + aou + phosphate_star 103 1.2264345 346.3482 8.170119 4.824931 1982-1999 –> 2000-2009 2.710354 1.4839197 1058.4077 13.429563 5 10
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + aou + phosphate 103 1.2294752 346.8583 18.441412 4.824102 1982-1999 –> 2000-2009 2.714062 1.4845866 1059.0912 25.414887 6 12
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + aou + nitrate 103 1.3266015 362.5211 18.128964 3.772519 1982-1999 –> 2000-2009 2.879825 1.5532231 1092.1996 24.472540 7 14
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + aou + silicate 103 1.3351143 363.8388 4.084332 4.390395 1982-1999 –> 2000-2009 2.921677 1.5865625 1101.7150 8.555626 8 17
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + nitrate + silicate 103 1.3528181 366.5525 3.877711 4.058854 1982-1999 –> 2000-2009 2.938452 1.5856335 1104.2026 8.240851 10 18
Atlantic (-Inf,26] 3 cstar_tref ~ sal + temp + aou 103 1.3380816 362.2961 2.084978 5.146671 1982-1999 –> 2000-2009 3.100727 1.7626454 1138.7973 4.845046 9 20
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 84 1.3700282 305.2733 18.944847 3.924458 2000-2009 –> 2010-2019 2.532383 1.1623550 642.5670 32.103139 3 4
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 84 1.3479766 302.5473 17.147289 4.175034 2000-2009 –> 2010-2019 2.547245 1.1992688 646.2813 28.844211 1 4
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 84 1.3502671 302.8325 12.105735 4.166001 2000-2009 –> 2010-2019 2.547287 1.1970202 646.1799 20.185576 2 4
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + aou + phosphate 84 1.3729275 303.6285 13.959542 4.933281 2000-2009 –> 2010-2019 2.602403 1.2294752 650.4868 32.400953 4 10
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + aou + phosphate_star 84 1.3826211 304.8105 10.511767 5.061961 2000-2009 –> 2010-2019 2.609056 1.2264345 651.1587 18.681886 5 10
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 84 1.3865666 305.2892 8.053112 5.092485 2000-2009 –> 2010-2019 2.609899 1.2233325 651.1158 14.008308 7 11
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + aou + nitrate 84 1.5131906 319.9707 5.070588 5.257500 2000-2009 –> 2010-2019 2.839792 1.3266015 682.4918 23.199552 9 16
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + aou + silicate 84 1.5054293 319.1068 4.573828 5.438988 2000-2009 –> 2010-2019 2.840544 1.3351143 682.9456 8.658160 8 16
Atlantic (-Inf,26] 3 cstar_tref ~ sal + temp + aou 84 1.5159070 318.2720 2.351364 5.050812 2000-2009 –> 2010-2019 2.853989 1.3380816 680.5682 4.436341 10 19
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + nitrate + silicate 84 1.5923441 328.5365 4.268610 5.128333 2000-2009 –> 2010-2019 2.945162 1.3528181 695.0890 8.146321 13 23
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 768 3.6399838 4177.9697 11.827952 10.537923 1982-1999 –> 2000-2009 7.303589 3.6636048 11322.3909 23.647022 1 6
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 768 3.6509257 4182.5800 12.471970 10.616837 1982-1999 –> 2000-2009 7.321709 3.6707836 11332.1378 23.960081 2 8
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 768 3.6698955 4190.5403 12.640061 10.772433 1982-1999 –> 2000-2009 7.357642 3.6877461 11352.1956 25.068876 3 10
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 768 3.8324981 4257.1314 11.807209 10.305325 1982-1999 –> 2000-2009 7.463270 3.6307721 11377.9307 22.296160 4 5
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 768 3.8533607 4265.4701 12.480842 10.460615 1982-1999 –> 2000-2009 7.496139 3.6427783 11394.9321 23.873922 5 7
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 768 3.8562652 4266.6275 12.217030 10.516060 1982-1999 –> 2000-2009 7.503030 3.6467643 11398.9591 23.551082 6 9
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 768 3.8933005 4281.3087 12.459529 11.125145 1982-1999 –> 2000-2009 7.556553 3.6632528 11425.4778 23.886178 7 11
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 768 3.9298534 4293.6624 12.156506 12.728027 1982-1999 –> 2000-2009 7.801577 3.8717234 11581.0652 23.483406 8 16
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + aou + nitrate 768 4.2037296 4397.1428 11.649649 14.143955 1982-1999 –> 2000-2009 8.146412 3.9426828 11732.2018 22.240584 12 21
Atlantic (26,26.5] 4 cstar_tref ~ temp + nitrate + phosphate + phosphate_star 768 4.1614461 4381.6146 10.039613 12.209260 1982-1999 –> 2000-2009 8.711895 4.5504493 12092.8623 21.201842 9 24
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 718 3.8223494 3977.0782 12.877759 13.194810 2000-2009 –> 2010-2019 7.462333 3.6399838 8155.0479 24.705710 1 2
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 718 3.8308354 3980.2628 10.807769 13.403914 2000-2009 –> 2010-2019 7.481761 3.6509257 8162.8428 23.279739 2 4
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 718 3.8492758 3987.1586 10.981169 13.753557 2000-2009 –> 2010-2019 7.519171 3.6698955 8177.6989 23.621231 3 6
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 718 3.9335310 4018.2516 11.762778 15.135521 2000-2009 –> 2010-2019 7.766029 3.8324981 8275.3830 23.569986 4 8
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 718 3.9544376 4025.8637 10.820983 15.579904 2000-2009 –> 2010-2019 7.807798 3.8533607 8291.3338 23.301825 5 10
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 718 3.9554060 4026.2153 10.696506 15.569546 2000-2009 –> 2010-2019 7.811671 3.8562652 8292.8428 22.913537 6 12
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 718 3.9600866 4027.9136 10.791499 15.358102 2000-2009 –> 2010-2019 7.853387 3.8933005 8309.2223 23.251028 7 14
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 718 3.9602138 4025.9597 10.694624 15.303145 2000-2009 –> 2010-2019 7.890067 3.9298534 8319.6221 22.851129 8 16
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + aou + nitrate 718 4.0403072 4054.7123 10.047496 17.794127 2000-2009 –> 2010-2019 8.244037 4.2037296 8451.8551 21.697145 9 21
Atlantic (26,26.5] 4 cstar_tref ~ temp + nitrate + phosphate + phosphate_star 718 4.5352771 4220.6643 9.038323 12.095771 2000-2009 –> 2010-2019 8.696723 4.1614461 8602.2789 19.077936 14 23
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate 984 3.1546985 5065.4923 17.880703 11.694860 1982-1999 –> 2000-2009 6.876699 3.7220009 14507.0320 35.689105 2 3
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 984 3.1799833 5081.2029 3.552675 11.632745 1982-1999 –> 2000-2009 6.933821 3.7538382 14552.1278 7.521779 3 5
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 984 3.1878723 5086.0791 5.195635 11.607392 1982-1999 –> 2000-2009 6.951149 3.7632763 14565.6674 10.923634 4 7
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 984 3.1265688 5047.8654 18.932357 12.364451 1982-1999 –> 2000-2009 6.995880 3.8693111 14623.3172 38.570567 1 5
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 984 3.2872932 5146.5180 3.556564 12.567365 1982-1999 –> 2000-2009 7.394932 4.1076387 14928.1827 7.983480 5 11
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 984 3.4254188 5227.5193 4.105754 12.591483 1982-1999 –> 2000-2009 7.506678 4.0812589 14986.9562 8.688750 7 12
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 984 3.3566783 5187.6243 5.467181 12.565517 1982-1999 –> 2000-2009 7.550148 4.1934698 15040.6356 12.095339 6 13
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 984 3.4634813 5249.2667 4.269175 13.884316 1982-1999 –> 2000-2009 7.844184 4.3807030 15252.9765 9.592145 8 16
Atlantic (26.5,26.75] 3 cstar_tref ~ sal + aou + phosphate 984 4.6067855 5808.6507 18.409049 12.210591 1982-1999 –> 2000-2009 9.121170 4.5143847 15914.0663 37.794811 9 18
Atlantic (26.5,26.75] 3 cstar_tref ~ temp + aou + phosphate 984 4.7685224 5876.5589 17.368801 12.564408 1982-1999 –> 2000-2009 9.313527 4.5450049 16005.2962 35.115519 12 22
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate 1006 4.0654207 5688.7690 16.738495 14.303111 2000-2009 –> 2010-2019 7.220119 3.1546985 10754.2613 34.619199 1 3
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1006 4.0969922 5704.3336 3.430100 14.329092 2000-2009 –> 2010-2019 7.276975 3.1799833 10785.5364 6.982775 2 5
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1006 4.1043464 5707.9419 4.924773 14.324234 2000-2009 –> 2010-2019 7.292219 3.1878723 10794.0210 10.120409 3 7
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 1006 4.1756259 5742.5840 18.587922 15.102326 2000-2009 –> 2010-2019 7.302195 3.1265688 10790.4495 37.520279 4 5
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1006 4.3548344 5827.1329 3.784905 15.412577 2000-2009 –> 2010-2019 7.642128 3.2872932 10973.6509 7.341469 6 11
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1006 4.2880358 5796.0318 3.961640 14.913666 2000-2009 –> 2010-2019 7.713455 3.4254188 11023.5512 8.067394 5 12
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1006 4.4073128 5851.2338 5.641834 15.401822 2000-2009 –> 2010-2019 7.763991 3.3566783 11038.8582 11.109016 7 13
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1006 4.5443893 5912.8577 4.517343 16.213371 2000-2009 –> 2010-2019 8.007870 3.4634813 11162.1244 8.786518 8 16
Atlantic (26.5,26.75] 3 cstar_tref ~ temp + aou + nitrate 1006 5.2823037 6213.6013 17.963989 25.666212 2000-2009 –> 2010-2019 10.334599 5.0522950 12203.9226 37.140603 10 25
Atlantic (26.5,26.75] 3 cstar_tref ~ sal + aou + phosphate 1006 5.7335823 6378.5415 18.106965 15.354762 2000-2009 –> 2010-2019 10.340368 4.6067855 12187.1922 36.516014 15 24
Atlantic (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1755 2.0865209 7574.0724 4.042740 10.127135 1982-1999 –> 2000-2009 4.076644 1.9901227 20317.3809 7.763462 1 2
Atlantic (26.75,27] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1755 2.1072198 7608.7210 4.324387 10.160432 1982-1999 –> 2000-2009 4.116744 2.0095242 20410.6472 8.319202 2 4
Atlantic (26.75,27] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1755 2.2323430 7811.1858 3.929993 9.777067 1982-1999 –> 2000-2009 4.785187 2.5528436 22059.0224 7.733999 3 6
Atlantic (26.75,27] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1755 2.3250537 7954.0127 4.133975 10.507620 1982-1999 –> 2000-2009 5.017573 2.6925193 22523.7031 8.099192 4 8
Atlantic (26.75,27] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1755 2.4464257 8132.6187 5.036529 15.545417 1982-1999 –> 2000-2009 5.206839 2.7604133 22852.7737 9.432094 6 11
Atlantic (26.75,27] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1755 2.3327226 7965.5709 4.983103 12.801081 1982-1999 –> 2000-2009 5.274356 2.9416332 23069.9036 9.402177 5 11
Atlantic (26.75,27] 3 cstar_tref ~ sal + aou + phosphate_star 1755 4.1171891 9957.7233 2.969457 14.632351 1982-1999 –> 2000-2009 7.693546 3.5763572 26240.5410 6.399077 7 14
Atlantic (26.75,27] 3 cstar_tref ~ sal + phosphate + phosphate_star 1755 4.1183097 9958.6785 3.184889 14.801650 1982-1999 –> 2000-2009 7.736146 3.6178361 26311.1684 6.983297 8 16
Atlantic (26.75,27] 3 cstar_tref ~ sal + nitrate + phosphate_star 1755 4.2440689 10064.2581 3.085455 15.403391 1982-1999 –> 2000-2009 8.155207 3.9111376 26887.7351 6.686150 9 20
Atlantic (26.75,27] 3 cstar_tref ~ temp + aou + phosphate_star 1755 4.5745297 10327.4429 2.941215 15.595450 1982-1999 –> 2000-2009 8.251334 3.6768040 26777.6187 6.182005 13 22
Atlantic (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1784 2.7503043 8684.5595 3.871685 19.890890 2000-2009 –> 2010-2019 4.836825 2.0865209 16258.6319 7.914425 3 4
Atlantic (26.75,27] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1784 2.6256541 8519.0703 3.773177 17.559295 2000-2009 –> 2010-2019 4.857997 2.2323430 16330.2561 7.703170 1 4
Atlantic (26.75,27] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1784 2.7655372 8704.2668 4.218690 19.951981 2000-2009 –> 2010-2019 4.872757 2.1072198 16312.9877 8.543077 4 6
Atlantic (26.75,27] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1784 2.6727234 8582.4661 4.056608 17.344719 2000-2009 –> 2010-2019 4.997777 2.3250537 16536.4788 8.190584 2 6
Atlantic (26.75,27] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1784 2.8305652 8787.1926 4.776620 23.858088 2000-2009 –> 2010-2019 5.163288 2.3327226 16752.7634 9.759723 5 10
Atlantic (26.75,27] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1784 3.1329991 9149.3956 4.790878 26.286264 2000-2009 –> 2010-2019 5.579425 2.4464257 17282.0143 9.827408 6 12
Atlantic (26.75,27] 4 cstar_tref ~ sal + temp + aou + phosphate_star 1784 4.7838357 10659.5586 19.503863 14.985995 2000-2009 –> 2010-2019 8.895275 4.1114390 20614.3764 38.375077 11 18
Atlantic (26.75,27] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 1784 4.7850841 10660.4895 19.345207 15.002754 2000-2009 –> 2010-2019 8.900073 4.1149886 20618.3364 38.257419 12 20
Atlantic (26.75,27] 3 cstar_tref ~ sal + phosphate + phosphate_star 1784 4.8392074 10698.6201 3.371443 15.611231 2000-2009 –> 2010-2019 8.957517 4.1183097 20657.2986 6.556332 14 24
Atlantic (26.75,27] 3 cstar_tref ~ sal + aou + phosphate_star 1784 4.8413906 10700.2294 3.150073 15.613885 2000-2009 –> 2010-2019 8.958580 4.1171891 20657.9527 6.119530 15 24
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1558 2.1231224 6779.4110 8.964669 15.907541 1982-1999 –> 2000-2009 4.112261 1.9891387 19098.4035 20.478105 1 2
Atlantic (27,27.25] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1558 2.1835858 6866.9099 8.425340 17.683764 1982-1999 –> 2000-2009 4.298689 2.1151036 19544.6132 17.860973 2 4
Atlantic (27,27.25] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1558 2.2947244 7021.6018 9.532264 18.211359 1982-1999 –> 2000-2009 4.557424 2.2626998 20093.3767 19.664704 3 8
Atlantic (27,27.25] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1558 2.6286122 7444.8895 7.776947 16.843594 1982-1999 –> 2000-2009 4.761903 2.1332905 20172.6110 17.003687 4 7
Atlantic (27,27.25] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1558 2.6509402 7471.2457 7.834153 16.874920 1982-1999 –> 2000-2009 4.806673 2.1557327 20260.1040 16.555445 5 9
Atlantic (27,27.25] 4 cstar_tref ~ sal + temp + aou + phosphate 1558 2.9844928 7840.5398 18.035666 12.411591 1982-1999 –> 2000-2009 5.387152 2.4026592 21262.9364 36.719762 7 13
Atlantic (27,27.25] 3 cstar_tref ~ sal + aou + phosphate 1558 3.0949068 7951.7377 15.708099 11.841913 1982-1999 –> 2000-2009 5.499739 2.4048324 21377.4160 34.391932 17 24
Atlantic (27,27.25] 4 cstar_tref ~ sal + temp + aou + phosphate_star 1558 3.0637356 7922.1950 18.144270 16.847164 1982-1999 –> 2000-2009 5.532118 2.4683823 21502.2489 34.590881 9 17
Atlantic (27,27.25] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 1558 3.0650125 7923.4934 18.182547 16.993874 1982-1999 –> 2000-2009 5.540380 2.4753674 21520.0558 34.658809 10 19
Atlantic (27,27.25] 3 cstar_tref ~ sal + aou + phosphate_star 1558 3.0684632 7924.9995 3.342822 17.495972 1982-1999 –> 2000-2009 5.713962 2.6454985 21907.8838 7.419498 11 21
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1634 2.4563212 7585.9277 8.838660 12.551876 2000-2009 –> 2010-2019 4.579444 2.1231224 14365.3386 17.803329 1 2
Atlantic (27,27.25] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1634 2.4676202 7600.9258 8.661645 12.345519 2000-2009 –> 2010-2019 4.651206 2.1835858 14467.8357 17.086985 2 4
Atlantic (27,27.25] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1634 2.5520902 7710.9218 9.426159 13.675277 2000-2009 –> 2010-2019 4.846815 2.2947244 14732.5236 18.958424 3 6
Atlantic (27,27.25] 3 cstar_tref ~ sal + silicate + phosphate_star 1634 2.7940661 8004.9543 5.968993 12.683653 2000-2009 –> 2010-2019 5.739744 2.9456780 15802.7032 12.276064 4 10
Atlantic (27,27.25] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1634 3.3672478 8616.7560 8.141903 18.613917 2000-2009 –> 2010-2019 5.995860 2.6286122 16061.6454 15.918850 12 16
Atlantic (27,27.25] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1634 3.3755184 8624.7730 8.193990 18.605780 2000-2009 –> 2010-2019 6.026459 2.6509402 16096.0187 16.028143 13 18
Atlantic (27,27.25] 4 cstar_tref ~ sal + temp + aou + phosphate 1634 3.3097719 8560.4926 16.464480 13.474227 2000-2009 –> 2010-2019 6.294265 2.9844928 16401.0323 34.500146 7 14
Atlantic (27,27.25] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 1634 3.2997759 8550.6078 15.223566 15.031907 2000-2009 –> 2010-2019 6.379001 3.0792248 16488.5165 34.298390 5 18
Atlantic (27,27.25] 3 cstar_tref ~ sal + nitrate + phosphate_star 1634 3.3040361 8552.8242 3.693039 14.567480 2000-2009 –> 2010-2019 6.388279 3.0842432 16493.8072 7.393578 6 21
Atlantic (27,27.25] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 1634 3.3471346 8597.1771 14.569720 15.137564 2000-2009 –> 2010-2019 6.412147 3.0650125 16520.6705 32.752266 8 18
Atlantic (27.25,27.5] 3 cstar_tref ~ sal + aou + phosphate 1599 3.0799208 8145.2081 7.286716 19.134684 1982-1999 –> 2000-2009 5.739711 2.6597899 22289.0148 16.055907 1 4
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1599 3.3725742 8437.4983 14.218425 14.774232 1982-1999 –> 2000-2009 5.906559 2.5339849 22297.6201 29.976433 7 8
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1599 3.3756229 8440.3879 10.038144 14.764234 1982-1999 –> 2000-2009 5.919462 2.5438389 22323.3933 21.722367 8 10
Atlantic (27.25,27.5] 3 cstar_tref ~ temp + aou + nitrate 1599 3.1971625 8264.6847 8.559805 12.032791 1982-1999 –> 2000-2009 6.000699 2.8035369 22718.8253 18.868084 3 8
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1599 3.4060428 8469.0780 10.298551 14.238292 1982-1999 –> 2000-2009 6.066145 2.6601019 22615.5762 22.211561 9 13
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1599 3.1963301 8265.8520 14.912032 24.133623 1982-1999 –> 2000-2009 6.335039 3.1387088 23387.8263 30.382554 2 14
Atlantic (27.25,27.5] 3 cstar_tref ~ temp + silicate + phosphate_star 1599 3.4108649 8471.6024 9.685784 13.845078 1982-1999 –> 2000-2009 6.336734 2.9258687 23177.5591 21.129004 10 17
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1599 3.2140729 8283.5550 10.761676 23.998651 1982-1999 –> 2000-2009 6.424324 3.2102511 23538.4112 22.454120 5 18
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1599 3.2122228 8281.7136 10.600444 23.944589 1982-1999 –> 2000-2009 6.443963 3.2317400 23575.9052 22.205064 4 18
Atlantic (27.25,27.5] 3 cstar_tref ~ temp + aou + phosphate 1599 3.7606474 8783.8079 6.803265 13.875843 1982-1999 –> 2000-2009 6.564194 2.8035467 23237.9691 15.045667 15 21
Atlantic (27.25,27.5] 3 cstar_tref ~ sal + aou + phosphate 1636 3.5106018 8761.7035 6.168964 19.997811 2000-2009 –> 2010-2019 6.590523 3.0799208 16906.9116 13.455680 5 6
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1636 3.4105937 8669.1391 15.616129 25.372733 2000-2009 –> 2010-2019 6.606924 3.1963301 16934.9911 30.528162 3 5
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1636 3.3942264 8653.3991 11.052871 24.796741 2000-2009 –> 2010-2019 6.608299 3.2140729 16936.9541 21.814547 1 6
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1636 3.3997151 8658.6859 11.804074 25.076125 2000-2009 –> 2010-2019 6.611938 3.2122228 16940.3995 22.404518 2 6
Atlantic (27.25,27.5] 3 cstar_tref ~ sal + silicate + phosphate_star 1636 3.4187393 8674.9444 9.578892 25.766021 2000-2009 –> 2010-2019 6.641754 3.2230148 16965.3842 19.767888 4 10
Atlantic (27.25,27.5] 3 cstar_tref ~ temp + aou + nitrate 1636 3.8430784 9057.7745 7.115330 13.085073 2000-2009 –> 2010-2019 7.040241 3.1971625 17322.4592 15.675135 6 9
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1636 4.0759869 9252.2963 11.378820 15.077897 2000-2009 –> 2010-2019 7.482030 3.4060428 17721.3743 21.677371 11 20
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1636 4.1294128 9294.9053 15.323110 16.115714 2000-2009 –> 2010-2019 7.501987 3.3725742 17732.4036 29.541535 13 20
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1636 4.1264517 9292.5582 11.875156 16.030727 2000-2009 –> 2010-2019 7.502075 3.3756229 17732.9461 21.913300 12 20
Atlantic (27.25,27.5] 3 cstar_tref ~ sal + aou + nitrate 1636 3.9226243 9124.8086 7.407044 14.380653 2000-2009 –> 2010-2019 7.548668 3.6260432 17792.0522 16.170777 9 20
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2039 2.1619502 8944.6128 18.723028 13.128844 1982-1999 –> 2000-2009 4.101515 1.9395646 24785.5939 37.122128 1 2
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2039 2.2025508 9020.4860 18.265873 13.355721 1982-1999 –> 2000-2009 4.177424 1.9748731 24998.6479 36.747622 2 6
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2039 2.2041373 9023.4223 17.962804 13.417958 1982-1999 –> 2000-2009 4.178189 1.9740514 24998.4198 36.446045 3 6
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2039 2.2089320 9032.2836 18.098235 13.437073 1982-1999 –> 2000-2009 4.181023 1.9720914 24999.7275 36.648165 4 6
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 2039 2.2298457 9068.7117 17.962803 14.322688 1982-1999 –> 2000-2009 4.211943 1.9820977 25072.6403 36.444544 5 10
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 2039 2.2611137 9125.4982 18.555800 13.836868 1982-1999 –> 2000-2009 4.627033 2.3659189 26475.4168 35.432373 6 17
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + phosphate 2039 2.5857740 9672.6328 17.612326 13.771439 1982-1999 –> 2000-2009 4.789911 2.2041371 26483.9572 35.733669 8 14
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 2039 2.6407544 9758.4329 18.256605 11.511937 1982-1999 –> 2000-2009 4.887270 2.2465159 26714.5709 36.613118 10 17
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + phosphate_star 2039 2.6476266 9769.0315 17.848190 11.665180 1982-1999 –> 2000-2009 4.897000 2.2493730 26734.8342 35.989753 11 19
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2039 2.5741810 9656.3085 18.252153 15.579615 1982-1999 –> 2000-2009 4.929481 2.3552998 26974.0208 36.254412 7 17
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2065 2.5792930 9787.4544 17.209661 12.383178 2000-2009 –> 2010-2019 4.741243 2.1619502 18732.0673 35.932690 1 2
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2065 2.6180384 9849.0328 17.640665 12.624510 2000-2009 –> 2010-2019 4.820589 2.2025508 18869.5188 35.906539 3 5
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2065 2.6223879 9855.8885 17.182625 12.730036 2000-2009 –> 2010-2019 4.826525 2.2041373 18879.3108 35.145428 4 7
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 2065 2.5828828 9791.1985 16.849652 12.118138 2000-2009 –> 2010-2019 4.843997 2.2611137 18916.6967 35.405452 2 8
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2065 2.6432533 9888.6195 17.450587 12.781030 2000-2009 –> 2010-2019 4.852185 2.2089320 18920.9031 35.548822 5 9
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 2065 2.7830142 10099.4140 17.116461 15.122514 2000-2009 –> 2010-2019 5.012860 2.2298457 19168.1256 35.079264 6 11
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2065 3.0426144 10469.7380 17.088202 14.197861 2000-2009 –> 2010-2019 5.616795 2.5741810 20126.0464 35.340355 9 16
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + phosphate 2065 3.0553954 10485.0504 16.764444 12.476249 2000-2009 –> 2010-2019 5.641169 2.5857740 20157.6832 34.376769 11 19
Atlantic (27.5,27.75] 3 cstar_tref ~ sal + aou + phosphate 2065 3.0581171 10486.7277 2.885169 12.581674 2000-2009 –> 2010-2019 5.688916 2.6307987 20227.7574 5.817290 12 21
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 2065 3.1060377 10552.9428 17.575773 12.097511 2000-2009 –> 2010-2019 5.746792 2.6407544 20311.3757 35.832379 14 24
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate 747 2.1794301 3295.8149 13.969244 16.995839 1982-1999 –> 2000-2009 3.975009 1.7955786 9124.1943 28.719664 1 2
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + nitrate + silicate 747 2.3920581 3434.8924 12.366815 19.312024 1982-1999 –> 2000-2009 4.385719 1.9936613 9566.9531 25.159061 2 4
Atlantic (27.75,27.85] 4 cstar_tref ~ temp + aou + silicate + phosphate 747 2.6551049 3590.7615 14.675483 16.300890 1982-1999 –> 2000-2009 4.682294 2.0271891 9771.2199 30.856583 5 8
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 747 2.5199118 3512.6847 15.915531 21.665398 1982-1999 –> 2000-2009 4.727942 2.2080307 9941.1214 33.905313 3 10
Atlantic (27.75,27.85] 3 cstar_tref ~ sal + silicate + phosphate_star 747 2.5470365 3526.6804 14.486487 22.088568 1982-1999 –> 2000-2009 4.761618 2.2145811 9961.7136 31.658882 4 12
Atlantic (27.75,27.85] 3 cstar_tref ~ sal + aou + phosphate 747 2.6558004 3589.1528 5.845967 16.381424 1982-1999 –> 2000-2009 4.785752 2.1299517 9911.1126 13.287924 6 10
Atlantic (27.75,27.85] 4 cstar_tref ~ temp + aou + nitrate + silicate 747 2.7950168 3667.4843 12.964544 17.257497 1982-1999 –> 2000-2009 4.957838 2.1628213 10035.8860 26.973042 7 13
Atlantic (27.75,27.85] 3 cstar_tref ~ temp + aou + phosphate 747 2.8683805 3704.1931 6.895464 15.500840 1982-1999 –> 2000-2009 5.024342 2.1559614 10061.3758 15.292117 8 13
Atlantic (27.75,27.85] 3 cstar_tref ~ temp + aou + phosphate_star 747 2.9554019 3748.8443 8.512937 15.632999 1982-1999 –> 2000-2009 5.184449 2.2290467 10202.7717 19.562446 9 18
Atlantic (27.75,27.85] 2 cstar_tref ~ temp + phosphate_star 747 3.1330652 3834.0598 3.697968 15.604160 1982-1999 –> 2000-2009 5.465961 2.3328954 10418.1331 9.098105 12 22
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate 790 2.4392749 3662.8102 13.930705 16.158314 2000-2009 –> 2010-2019 4.618705 2.1794301 6958.6251 27.899949 1 2
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + nitrate + silicate 790 2.6370514 3785.9879 12.312449 17.788723 2000-2009 –> 2010-2019 5.029109 2.3920581 7220.8803 24.679264 2 4
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 790 2.6855335 3814.7723 17.690602 20.037412 2000-2009 –> 2010-2019 5.205445 2.5199118 7327.4570 33.606134 3 6
Atlantic (27.75,27.85] 3 cstar_tref ~ sal + silicate + phosphate_star 790 2.7218850 3834.0158 16.856254 20.246047 2000-2009 –> 2010-2019 5.268922 2.5470365 7360.6962 31.342741 4 8
Atlantic (27.75,27.85] 4 cstar_tref ~ temp + aou + silicate + phosphate 790 3.0501882 4015.9441 14.937912 17.629890 2000-2009 –> 2010-2019 5.705293 2.6551049 7606.7056 29.613395 5 10
Atlantic (27.75,27.85] 3 cstar_tref ~ sal + aou + phosphate 790 3.1250848 4052.2719 7.507668 17.406112 2000-2009 –> 2010-2019 5.780885 2.6558004 7641.4247 13.353634 6 12
Atlantic (27.75,27.85] 4 cstar_tref ~ temp + aou + nitrate + silicate 790 3.1951612 4089.3102 13.202489 18.453000 2000-2009 –> 2010-2019 5.990178 2.7950168 7756.7945 26.167033 7 14
Atlantic (27.75,27.85] 3 cstar_tref ~ temp + aou + phosphate 790 3.3756175 4174.1165 8.571309 16.526336 2000-2009 –> 2010-2019 6.243998 2.8683805 7878.3096 15.466772 8 16
Atlantic (27.75,27.85] 3 cstar_tref ~ temp + aou + phosphate_star 790 3.4652367 4215.5168 11.074495 16.700478 2000-2009 –> 2010-2019 6.420639 2.9554019 7964.3611 19.587432 10 19
Atlantic (27.75,27.85] 3 cstar_tref ~ sal + phosphate + phosphate_star 790 3.4509816 4209.0036 19.187159 21.557929 2000-2009 –> 2010-2019 6.499450 3.0484684 8004.1689 34.888695 9 19
Atlantic (27.85,27.95] 3 cstar_tref ~ temp + aou + phosphate 699 3.9372647 3909.6158 18.283743 21.276178 1982-1999 –> 2000-2009 7.658384 3.7211193 11227.5590 32.528366 1 2
Atlantic (27.85,27.95] 2 cstar_tref ~ temp + phosphate_star 699 4.0498253 3947.0219 9.098697 21.175282 1982-1999 –> 2000-2009 7.906275 3.8564494 11358.4868 17.051444 2 4
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + nitrate + silicate 699 4.1106280 3971.8551 19.346346 22.126795 1982-1999 –> 2000-2009 8.017347 3.9067194 11421.9511 35.855234 3 6
Atlantic (27.85,27.95] 3 cstar_tref ~ sal + aou + phosphate 699 4.2048359 4001.5330 15.810746 19.737437 1982-1999 –> 2000-2009 8.189952 3.9851165 11502.7576 28.223384 5 9
Atlantic (27.85,27.95] 3 cstar_tref ~ temp + aou + nitrate 699 4.1791983 3992.9830 17.472691 21.705740 1982-1999 –> 2000-2009 8.190415 4.0112167 11511.6636 31.182802 4 9
Atlantic (27.85,27.95] 3 cstar_tref ~ sal + aou + nitrate 699 4.5346779 4107.1082 14.553557 20.664524 1982-1999 –> 2000-2009 8.876650 4.3419718 11837.6605 26.084225 6 12
Atlantic (27.85,27.95] 3 cstar_tref ~ sal + aou + phosphate_star 699 4.7476888 4171.2819 19.248152 20.033994 1982-1999 –> 2000-2009 9.269214 4.5215248 12010.1865 34.619963 7 14
Atlantic (27.85,27.95] 3 cstar_tref ~ aou + silicate + phosphate 699 5.2571382 4313.7784 14.332036 23.744812 1982-1999 –> 2000-2009 10.059017 4.8018786 12313.5453 28.745222 8 16
Atlantic (27.85,27.95] 2 cstar_tref ~ aou + phosphate 699 5.3499922 4336.2550 1.010722 24.648054 1982-1999 –> 2000-2009 10.221635 4.8716426 12372.5916 2.054418 9 18
Atlantic (27.85,27.95] 3 cstar_tref ~ aou + nitrate + silicate 699 5.3641491 4341.9495 11.807006 24.462120 1982-1999 –> 2000-2009 10.310378 4.9462287 12420.9154 23.952959 10 20
Atlantic (27.85,27.95] 3 cstar_tref ~ temp + aou + phosphate 758 4.1078281 4303.0588 14.342987 25.200212 2000-2009 –> 2010-2019 8.045093 3.9372647 8212.6746 32.626730 1 2
Atlantic (27.85,27.95] 3 cstar_tref ~ sal + aou + phosphate 758 4.1975187 4335.8031 12.543940 22.929507 2000-2009 –> 2010-2019 8.402355 4.2048359 8337.3360 28.354686 2 7
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + nitrate + silicate 758 4.2939775 4372.2464 15.337042 26.418360 2000-2009 –> 2010-2019 8.404606 4.1106280 8344.1015 34.683389 3 6
Atlantic (27.85,27.95] 2 cstar_tref ~ temp + phosphate_star 758 4.3602178 4391.4542 7.263981 25.013308 2000-2009 –> 2010-2019 8.410043 4.0498253 8338.4761 16.362678 4 6
Atlantic (27.85,27.95] 3 cstar_tref ~ temp + aou + nitrate 758 4.4887234 4437.4884 13.783102 26.017119 2000-2009 –> 2010-2019 8.667922 4.1791983 8430.4714 31.255794 5 9
Atlantic (27.85,27.95] 3 cstar_tref ~ sal + aou + nitrate 758 4.6462735 4489.7861 11.794321 24.203730 2000-2009 –> 2010-2019 9.180951 4.5346779 8596.8944 26.347878 6 12
Atlantic (27.85,27.95] 3 cstar_tref ~ sal + aou + phosphate_star 758 4.6627601 4495.1559 15.379386 22.917410 2000-2009 –> 2010-2019 9.410449 4.7476888 8666.4378 34.627538 7 14
Atlantic (27.85,27.95] 3 cstar_tref ~ aou + silicate + phosphate 758 5.4641743 4735.6017 14.024415 28.144877 2000-2009 –> 2010-2019 10.721312 5.2571382 9049.3802 28.356451 9 17
Atlantic (27.85,27.95] 2 cstar_tref ~ sal + phosphate_star 758 5.3536405 4702.6204 7.378549 30.363287 2000-2009 –> 2010-2019 10.748032 5.3943915 9050.4295 17.145675 8 20
Atlantic (27.85,27.95] 2 cstar_tref ~ aou + phosphate 758 5.4870037 4739.9224 1.012639 28.482796 2000-2009 –> 2010-2019 10.836996 5.3499922 9076.1775 2.023361 10 19
Atlantic (27.95,28.05] 2 cstar_tref ~ temp + phosphate_star 903 4.4376616 5261.7734 11.410060 24.796089 1982-1999 –> 2000-2009 9.491844 5.0541829 15226.0443 22.126339 1 2
Atlantic (27.95,28.05] 2 cstar_tref ~ sal + phosphate_star 903 5.7599963 5732.7949 16.586745 27.158943 1982-1999 –> 2000-2009 11.728936 5.9689399 16242.0387 31.152881 7 9
Atlantic (27.95,28.05] 2 cstar_tref ~ aou + phosphate 903 5.6028060 5682.8242 1.243245 36.195309 1982-1999 –> 2000-2009 11.967013 6.3642068 16402.1259 2.630617 5 8
Atlantic (27.95,28.05] 2 cstar_tref ~ phosphate + phosphate_star 903 5.6354751 5693.3241 9.013995 35.882693 1982-1999 –> 2000-2009 12.123119 6.4876438 16475.5572 18.406808 6 10
Atlantic (27.95,28.05] 2 cstar_tref ~ sal + phosphate 903 5.5582011 5668.3888 4.036002 33.545600 1982-1999 –> 2000-2009 12.133717 6.5755162 16494.6961 8.019358 2 7
Atlantic (27.95,28.05] 2 cstar_tref ~ silicate + phosphate 903 5.5852517 5677.1569 15.137683 34.930037 1982-1999 –> 2000-2009 12.172167 6.5869152 16509.1384 29.066804 4 10
Atlantic (27.95,28.05] 2 cstar_tref ~ temp + phosphate 903 5.5832188 5676.4994 3.033062 33.968330 1982-1999 –> 2000-2009 12.173254 6.5900355 16510.0325 6.072060 3 10
Atlantic (27.95,28.05] 3 cstar_tref ~ aou + nitrate + silicate 903 5.7974662 5746.5052 17.466528 36.203809 1982-1999 –> 2000-2009 12.423563 6.6260965 16599.9158 36.996235 8 16
Atlantic (27.95,28.05] 2 cstar_tref ~ aou + nitrate 903 5.8118317 5748.9748 1.269278 36.386412 1982-1999 –> 2000-2009 12.453290 6.6414578 16607.9714 2.700335 9 18
Atlantic (27.95,28.05] 3 cstar_tref ~ nitrate + silicate + phosphate_star 903 5.8229398 5754.4233 17.461810 36.373009 1982-1999 –> 2000-2009 12.496137 6.6731971 16631.0385 36.766803 10 20
Atlantic (27.95,28.05] 2 cstar_tref ~ temp + phosphate_star 843 5.0892051 5143.6575 9.568303 22.058443 2000-2009 –> 2010-2019 9.526867 4.4376616 10405.4309 20.978363 1 2
Atlantic (27.95,28.05] 2 cstar_tref ~ sal + phosphate 843 6.2514937 5490.4656 3.633894 28.581239 2000-2009 –> 2010-2019 11.809695 5.5582011 11158.8544 7.669896 2 4
Atlantic (27.95,28.05] 2 cstar_tref ~ temp + phosphate 843 6.3924618 5528.0618 2.911212 29.201068 2000-2009 –> 2010-2019 11.975681 5.5832188 11204.5612 5.944274 4 7
Atlantic (27.95,28.05] 2 cstar_tref ~ sal + phosphate_star 843 6.3669780 5521.3270 11.497046 29.693304 2000-2009 –> 2010-2019 12.126974 5.7599963 11254.1219 28.083790 3 10
Atlantic (27.95,28.05] 2 cstar_tref ~ silicate + phosphate 843 6.6480666 5594.1641 15.036216 32.114587 2000-2009 –> 2010-2019 12.233318 5.5852517 11271.3210 30.173899 5 9
Atlantic (27.95,28.05] 2 cstar_tref ~ phosphate + phosphate_star 843 6.7732494 5625.6162 9.296985 32.926438 2000-2009 –> 2010-2019 12.408724 5.6354751 11318.9403 18.310979 7 13
Atlantic (27.95,28.05] 2 cstar_tref ~ aou + phosphate 843 6.8381205 5641.6871 1.223828 33.964272 2000-2009 –> 2010-2019 12.440926 5.6028060 11324.5113 2.467073 9 14
Atlantic (27.95,28.05] 2 cstar_tref ~ sal + nitrate 843 6.7378306 5616.7767 3.442667 29.302905 2000-2009 –> 2010-2019 12.613016 5.8751857 11385.3319 7.226576 6 18
Atlantic (27.95,28.05] 3 cstar_tref ~ temp + nitrate + silicate 843 6.8045295 5635.3846 19.754036 29.927964 2000-2009 –> 2010-2019 12.681220 5.8766903 11406.4022 38.180033 8 21
Atlantic (27.95,28.05] 2 cstar_tref ~ temp + nitrate 843 6.8400572 5642.1646 2.767062 29.919178 2000-2009 –> 2010-2019 12.724914 5.8848564 11413.6901 5.633922 10 24
Atlantic (28.05,28.1] 2 cstar_tref ~ temp + phosphate 529 1.9262390 2202.8294 4.883129 18.203123 1982-1999 –> 2000-2009 3.859084 1.9328455 5855.5218 9.831520 1 5
Atlantic (28.05,28.1] 2 cstar_tref ~ sal + phosphate 529 1.9858052 2235.0509 7.836833 17.521715 1982-1999 –> 2000-2009 3.931863 1.9460583 5899.6926 16.385765 2 7
Atlantic (28.05,28.1] 2 cstar_tref ~ aou + phosphate 529 2.0909338 2289.6292 2.834621 22.174975 1982-1999 –> 2000-2009 3.979750 1.8888164 5901.9044 7.104673 6 7
Atlantic (28.05,28.1] 2 cstar_tref ~ phosphate + phosphate_star 529 2.0601392 2273.9314 17.116752 21.576633 1982-1999 –> 2000-2009 3.992147 1.9320080 5925.8636 36.048646 4 7
Atlantic (28.05,28.1] 2 cstar_tref ~ aou + nitrate 529 2.1277747 2308.1081 2.914217 22.141472 1982-1999 –> 2000-2009 4.031068 1.9032933 5933.7757 7.359383 8 10
Atlantic (28.05,28.1] 2 cstar_tref ~ temp + nitrate 529 2.0364967 2261.7194 4.673592 19.286909 1982-1999 –> 2000-2009 4.056313 2.0198168 5991.6115 9.402615 3 11
Atlantic (28.05,28.1] 2 cstar_tref ~ nitrate + phosphate_star 529 2.1209713 2304.7198 15.629409 21.908898 1982-1999 –> 2000-2009 4.080287 1.9593154 5981.2698 32.730292 7 13
Atlantic (28.05,28.1] 2 cstar_tref ~ sal + nitrate 529 2.0794469 2283.8009 7.379016 19.151066 1982-1999 –> 2000-2009 4.093960 2.0145126 6009.0808 15.388203 5 12
Atlantic (28.05,28.1] 2 cstar_tref ~ aou + phosphate_star 529 2.4671159 2464.6637 1.690864 27.283615 1982-1999 –> 2000-2009 4.769037 2.3019216 6423.8693 3.918879 9 19
Atlantic (28.05,28.1] 2 cstar_tref ~ temp + phosphate_star 529 2.4818082 2470.9456 15.541038 20.585280 1982-1999 –> 2000-2009 4.781340 2.2995314 6428.3290 29.828674 10 19
Atlantic (28.05,28.1] 2 cstar_tref ~ temp + phosphate 508 1.5697465 1907.7703 4.936324 6.701590 2000-2009 –> 2010-2019 3.495986 1.9262390 4110.5997 9.819453 1 2
Atlantic (28.05,28.1] 2 cstar_tref ~ sal + phosphate 508 1.7485183 2017.3506 9.172443 7.335187 2000-2009 –> 2010-2019 3.734323 1.9858052 4252.4015 17.009276 4 6
Atlantic (28.05,28.1] 2 cstar_tref ~ temp + nitrate 508 1.7338719 2008.8042 4.725466 6.579724 2000-2009 –> 2010-2019 3.770369 2.0364967 4270.5236 9.399058 2 5
Atlantic (28.05,28.1] 2 cstar_tref ~ phosphate + phosphate_star 508 1.7368330 2010.5379 17.115182 7.120789 2000-2009 –> 2010-2019 3.796972 2.0601392 4284.4693 34.231934 3 7
Atlantic (28.05,28.1] 2 cstar_tref ~ aou + phosphate 508 1.8115753 2053.3455 3.015706 6.966689 2000-2009 –> 2010-2019 3.902509 2.0909338 4342.9747 5.850327 5 11
Atlantic (28.05,28.1] 2 cstar_tref ~ sal + nitrate 508 1.8724579 2086.9296 8.559325 6.866080 2000-2009 –> 2010-2019 3.951905 2.0794469 4370.7304 15.938341 7 12
Atlantic (28.05,28.1] 2 cstar_tref ~ nitrate + phosphate_star 508 1.8645111 2082.6084 15.636976 6.722620 2000-2009 –> 2010-2019 3.985482 2.1209713 4387.3282 31.266384 6 13
Atlantic (28.05,28.1] 2 cstar_tref ~ aou + nitrate 508 1.8914627 2097.1896 3.104462 6.763316 2000-2009 –> 2010-2019 4.019238 2.1277747 4405.2977 6.018680 8 16
Atlantic (28.05,28.1] 2 cstar_tref ~ aou + phosphate_star 508 2.1063299 2206.5077 1.754769 7.994540 2000-2009 –> 2010-2019 4.573446 2.4671159 4671.1714 3.445632 9 18
Atlantic (28.05,28.1] 2 cstar_tref ~ temp + phosphate_star 508 2.5041270 2382.2688 16.420692 18.530450 2000-2009 –> 2010-2019 4.985935 2.4818082 4853.2144 31.961730 10 20
Atlantic (28.1,28.15] 2 cstar_tref ~ temp + phosphate 744 1.5457108 2767.3805 8.545515 5.478732 1982-1999 –> 2000-2009 3.326162 1.7804512 8084.2227 15.838930 1 4
Atlantic (28.1,28.15] 2 cstar_tref ~ aou + phosphate 744 1.7259839 2931.5269 5.612235 4.914953 1982-1999 –> 2000-2009 3.416860 1.6908762 8111.0600 10.455535 4 6
Atlantic (28.1,28.15] 2 cstar_tref ~ aou + nitrate 744 1.7310579 2935.8948 5.816331 5.020223 1982-1999 –> 2000-2009 3.417740 1.6866820 8108.8216 10.822133 5 6
Atlantic (28.1,28.15] 2 cstar_tref ~ temp + nitrate 744 1.6386404 2854.2545 8.124825 5.381395 1982-1999 –> 2000-2009 3.500953 1.8623125 8290.6695 15.081314 2 7
Atlantic (28.1,28.15] 2 cstar_tref ~ sal + phosphate 744 1.7188397 2925.3549 18.021896 5.244049 1982-1999 –> 2000-2009 3.540390 1.8215506 8302.9018 33.332933 3 7
Atlantic (28.1,28.15] 2 cstar_tref ~ sal + nitrate 744 1.7477714 2950.1927 17.089246 5.128562 1982-1999 –> 2000-2009 3.621608 1.8738363 8403.0168 31.683393 6 12
Atlantic (28.1,28.15] 2 cstar_tref ~ aou + phosphate_star 744 2.0851890 3212.8515 2.766027 5.851905 1982-1999 –> 2000-2009 4.218324 2.1331352 9010.4250 5.138680 7 14
Atlantic (28.1,28.15] 2 cstar_tref ~ silicate + phosphate_star 744 2.6769546 3584.5841 17.033967 8.259038 1982-1999 –> 2000-2009 5.379956 2.7030016 10011.9658 30.948047 8 16
Atlantic (28.1,28.15] 2 cstar_tref ~ sal + silicate 744 2.7025261 3598.7307 13.399428 10.159627 1982-1999 –> 2000-2009 5.657972 2.9554459 10263.6150 25.660502 9 18
Atlantic (28.1,28.15] 2 cstar_tref ~ aou + silicate 744 2.8446010 3674.9697 5.303693 8.869062 1982-1999 –> 2000-2009 5.995888 3.1512865 10510.5229 9.987491 11 22
Atlantic (28.1,28.15] 2 cstar_tref ~ temp + phosphate 710 1.3120318 2408.5319 8.166563 4.082309 2000-2009 –> 2010-2019 2.857743 1.5457108 5175.9125 16.712078 1 2
Atlantic (28.1,28.15] 2 cstar_tref ~ temp + nitrate 710 1.4458787 2546.4712 7.708655 4.368423 2000-2009 –> 2010-2019 3.084519 1.6386404 5400.7256 15.833480 2 4
Atlantic (28.1,28.15] 2 cstar_tref ~ sal + phosphate 710 1.5828433 2674.9891 19.055538 4.975618 2000-2009 –> 2010-2019 3.301683 1.7188397 5600.3440 37.077434 3 6
Atlantic (28.1,28.15] 2 cstar_tref ~ sal + nitrate 710 1.6294233 2716.1738 17.795691 5.027491 2000-2009 –> 2010-2019 3.377195 1.7477714 5666.3665 34.884937 4 10
Atlantic (28.1,28.15] 2 cstar_tref ~ aou + phosphate 710 1.6675217 2748.9934 3.972961 4.569932 2000-2009 –> 2010-2019 3.393506 1.7259839 5680.5203 9.585196 5 9
Atlantic (28.1,28.15] 2 cstar_tref ~ aou + nitrate 710 1.6849286 2763.7396 4.112324 4.718556 2000-2009 –> 2010-2019 3.415986 1.7310579 5699.6345 9.928655 6 11
Atlantic (28.1,28.15] 2 cstar_tref ~ aou + phosphate_star 710 2.0180333 3019.9080 2.106895 5.211112 2000-2009 –> 2010-2019 4.103222 2.0851890 6232.7595 4.872922 7 14
Atlantic (28.1,28.15] 2 cstar_tref ~ silicate + phosphate_star 710 2.6172270 3389.0965 16.519489 7.227450 2000-2009 –> 2010-2019 5.294182 2.6769546 6973.6806 33.553456 11 19
Atlantic (28.1,28.15] 2 cstar_tref ~ sal + silicate 710 2.6025157 3381.0922 15.372512 7.710252 2000-2009 –> 2010-2019 5.305042 2.7025261 6979.8229 28.771941 10 19
Atlantic (28.1,28.15] 2 cstar_tref ~ aou + silicate 710 2.4815162 3313.4877 3.600305 6.912474 2000-2009 –> 2010-2019 5.326117 2.8446010 6988.4574 8.903999 8 19
Atlantic (28.15,28.2] 3 cstar_tref ~ aou + nitrate + silicate 1194 1.2543736 3939.6327 13.889463 22.119079 1982-1999 –> 2000-2009 2.245240 0.9908661 10372.5113 30.042826 1 2
Atlantic (28.15,28.2] 2 cstar_tref ~ aou + nitrate 1194 1.3390804 4093.6809 9.161016 23.695402 1982-1999 –> 2000-2009 2.391608 1.0525278 10799.6079 21.166275 4 6
Atlantic (28.15,28.2] 2 cstar_tref ~ temp + nitrate 1194 1.2735357 3973.8365 9.609390 20.517763 1982-1999 –> 2000-2009 2.470152 1.1966167 11264.3142 18.202602 2 7
Atlantic (28.15,28.2] 2 cstar_tref ~ nitrate + silicate 1194 1.3390281 4093.5876 10.989694 24.016260 1982-1999 –> 2000-2009 2.538170 1.1991424 11393.6712 22.639423 3 9
Atlantic (28.15,28.2] 2 cstar_tref ~ sal + nitrate 1194 1.3511073 4115.0329 12.684551 22.354613 1982-1999 –> 2000-2009 2.544646 1.1935386 11393.7756 25.927952 6 9
Atlantic (28.15,28.2] 2 cstar_tref ~ aou + phosphate 1194 1.3457200 4105.4921 9.606224 20.990658 1982-1999 –> 2000-2009 2.547809 1.2020894 11416.7589 22.404724 5 12
Atlantic (28.15,28.2] 2 cstar_tref ~ sal + phosphate 1194 1.3756434 4158.0098 9.580512 24.670138 1982-1999 –> 2000-2009 2.570485 1.1948411 11441.7220 19.503671 8 12
Atlantic (28.15,28.2] 2 cstar_tref ~ silicate + phosphate 1194 1.3663075 4141.7483 16.199874 22.820921 1982-1999 –> 2000-2009 2.619623 1.2533150 11643.1406 33.417203 7 15
Atlantic (28.15,28.2] 2 cstar_tref ~ temp + phosphate 1194 1.3796974 4165.0368 8.554351 20.419692 1982-1999 –> 2000-2009 2.736390 1.3566931 12027.5293 16.324157 9 18
Atlantic (28.15,28.2] 3 cstar_tref ~ aou + silicate + phosphate_star 1194 1.5629322 4464.8192 15.629359 25.883031 1982-1999 –> 2000-2009 2.940146 1.3772139 12397.7080 32.323368 10 22
Atlantic (28.15,28.2] 2 cstar_tref ~ temp + nitrate 1225 1.0313427 3560.0101 10.179579 3.054771 2000-2009 –> 2010-2019 2.304878 1.2735357 7533.8466 19.788969 1 3
Atlantic (28.15,28.2] 3 cstar_tref ~ aou + nitrate + silicate 1225 1.1033866 3727.4407 14.848451 3.196040 2000-2009 –> 2010-2019 2.357760 1.2543736 7667.0734 28.737914 2 3
Atlantic (28.15,28.2] 2 cstar_tref ~ nitrate + silicate 1225 1.1107805 3741.8037 12.449770 3.231708 2000-2009 –> 2010-2019 2.449809 1.3390281 7835.3913 23.439464 3 6
Atlantic (28.15,28.2] 2 cstar_tref ~ temp + phosphate 1225 1.1211986 3764.6751 9.216260 2.947759 2000-2009 –> 2010-2019 2.500896 1.3796974 7929.7120 17.770610 4 13
Atlantic (28.15,28.2] 2 cstar_tref ~ sal + nitrate 1225 1.1586680 3845.2136 15.859997 3.480607 2000-2009 –> 2010-2019 2.509775 1.3511073 7960.2464 28.544548 5 11
Atlantic (28.15,28.2] 2 cstar_tref ~ aou + phosphate 1225 1.1966616 3924.2618 8.771445 3.024780 2000-2009 –> 2010-2019 2.542382 1.3457200 8029.7539 18.377669 8 13
Atlantic (28.15,28.2] 2 cstar_tref ~ aou + nitrate 1225 1.2055237 3942.3389 8.431930 3.452553 2000-2009 –> 2010-2019 2.544604 1.3390804 8036.0198 17.592945 9 13
Atlantic (28.15,28.2] 2 cstar_tref ~ silicate + phosphate 1225 1.1955210 3921.9255 18.255765 2.994396 2000-2009 –> 2010-2019 2.561828 1.3663075 8063.6738 34.455639 7 14
Atlantic (28.15,28.2] 2 cstar_tref ~ sal + phosphate 1225 1.1896182 3909.7989 11.800641 3.071835 2000-2009 –> 2010-2019 2.565262 1.3756434 8067.8087 21.381153 6 14
Atlantic (28.15,28.2] 3 cstar_tref ~ sal + aou + silicate 1225 1.2401618 4013.7420 9.871131 4.371756 2000-2009 –> 2010-2019 2.885791 1.6456292 8601.6844 19.390474 10 22
Atlantic (28.2, Inf] 3 cstar_tref ~ sal + aou + nitrate 2322 0.7243329 5101.8412 16.270204 12.279360 1982-1999 –> 2000-2009 1.320659 0.5963257 12253.6413 30.968631 1 2
Atlantic (28.2, Inf] 3 cstar_tref ~ aou + nitrate + silicate 2322 0.8533251 5862.9441 9.881560 11.002856 1982-1999 –> 2000-2009 1.604213 0.7508877 14839.5987 18.583328 2 4
Atlantic (28.2, Inf] 3 cstar_tref ~ temp + nitrate + phosphate_star 2322 0.9624864 6421.9857 17.946037 14.907705 1982-1999 –> 2000-2009 1.771251 0.8087650 15986.5699 34.135511 3 6
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + temp + aou + phosphate 2322 0.9640486 6431.5173 16.353916 11.815315 1982-1999 –> 2000-2009 1.866041 0.9019926 16861.9392 28.353185 4 9
Atlantic (28.2, Inf] 3 cstar_tref ~ aou + silicate + phosphate 2322 0.9842300 6525.7308 13.448295 11.734631 1982-1999 –> 2000-2009 1.870273 0.8860430 16812.8893 25.385341 7 11
Atlantic (28.2, Inf] 3 cstar_tref ~ sal + aou + phosphate 2322 0.9649355 6433.7874 8.636690 11.599814 1982-1999 –> 2000-2009 1.879265 0.9143291 16969.7696 16.659724 5 11
Atlantic (28.2, Inf] 3 cstar_tref ~ temp + aou + phosphate 2322 0.9776357 6494.5118 14.805336 13.135384 1982-1999 –> 2000-2009 1.892664 0.9150282 17036.5459 26.747469 6 14
Atlantic (28.2, Inf] 3 cstar_tref ~ temp + aou + phosphate_star 2322 0.9852547 6530.5633 11.155307 13.217082 1982-1999 –> 2000-2009 1.900039 0.9147847 17070.4897 19.578271 8 15
Atlantic (28.2, Inf] 2 cstar_tref ~ aou + phosphate 2322 1.0055148 6623.0911 5.476556 13.389949 1982-1999 –> 2000-2009 1.922307 0.9167926 17178.3781 10.636439 9 18
Atlantic (28.2, Inf] 3 cstar_tref ~ sal + aou + phosphate_star 2322 1.0662224 6897.3328 6.426116 16.015156 1982-1999 –> 2000-2009 2.150191 1.0839689 18780.9102 12.508257 10 21
Atlantic (28.2, Inf] 3 cstar_tref ~ sal + aou + nitrate 2222 0.8451072 5567.8743 18.315963 12.778356 2000-2009 –> 2010-2019 1.569440 0.7243329 10669.7155 34.586167 1 2
Atlantic (28.2, Inf] 3 cstar_tref ~ aou + nitrate + silicate 2222 1.0144354 6379.4553 9.285035 13.616920 2000-2009 –> 2010-2019 1.867761 0.8533251 12242.3994 19.166595 2 4
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + temp + aou + phosphate 2222 1.1002240 6742.2262 19.014117 11.222342 2000-2009 –> 2010-2019 2.064273 0.9640486 13173.7434 35.368033 3 6
Atlantic (28.2, Inf] 3 cstar_tref ~ sal + aou + phosphate 2222 1.1002417 6740.2976 9.755335 11.252078 2000-2009 –> 2010-2019 2.065177 0.9649355 13174.0851 18.392025 4 8
Atlantic (28.2, Inf] 3 cstar_tref ~ aou + silicate + phosphate 2222 1.1357609 6881.4964 12.609685 13.058004 2000-2009 –> 2010-2019 2.119991 0.9842300 13407.2273 26.057979 5 11
Atlantic (28.2, Inf] 3 cstar_tref ~ temp + aou + phosphate 2222 1.1589443 6971.2949 16.882723 14.164501 2000-2009 –> 2010-2019 2.136580 0.9776357 13465.8068 31.688059 6 11
Atlantic (28.2, Inf] 3 cstar_tref ~ temp + aou + phosphate_star 2222 1.1687136 7008.5985 12.556678 14.237805 2000-2009 –> 2010-2019 2.153968 0.9852547 13539.1618 23.711985 7 14
Atlantic (28.2, Inf] 2 cstar_tref ~ aou + phosphate 2222 1.2246556 7214.3823 5.723299 14.378732 2000-2009 –> 2010-2019 2.230170 1.0055148 13837.4734 11.199855 10 18
Atlantic (28.2, Inf] 3 cstar_tref ~ sal + aou + phosphate_star 2222 1.1694347 7011.3400 6.776246 15.634866 2000-2009 –> 2010-2019 2.235657 1.0662224 13908.6727 13.202362 8 17
Atlantic (28.2, Inf] 3 cstar_tref ~ aou + silicate + phosphate_star 2222 1.2115014 7168.3907 5.163832 19.764740 2000-2009 –> 2010-2019 2.300341 1.0888400 14163.2054 10.571706 9 19
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3770 5.6957928 23830.3441 17.199240 42.427943 1982-1999 –> 2000-2009 11.602765 5.9069719 66722.2084 35.665076 1 2
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3770 5.9178811 24118.7541 6.622166 23.467029 1982-1999 –> 2000-2009 12.182792 6.2649110 67800.1312 12.984455 2 4
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3770 5.9237946 24126.2848 8.773688 23.550653 1982-1999 –> 2000-2009 12.200969 6.2771744 67833.9055 16.933081 3 6
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3770 5.9412389 24148.4558 6.551314 25.104624 1982-1999 –> 2000-2009 12.420684 6.4794453 68281.6913 12.936967 4 10
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 3770 5.9538388 24162.4294 6.499697 25.309370 1982-1999 –> 2000-2009 12.433396 6.4795570 68293.8963 12.875841 5 13
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 3770 5.9692063 24181.8659 5.494291 24.381318 1982-1999 –> 2000-2009 12.448700 6.4794939 68313.2021 10.966497 6 13
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + aou + phosphate_star 3770 6.0656520 24302.7175 5.501505 24.245834 1982-1999 –> 2000-2009 12.455553 6.3899006 68247.1978 10.976076 8 12
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 3770 6.0633780 24299.8903 8.402682 24.269681 1982-1999 –> 2000-2009 12.458336 6.3949579 68254.9876 16.233654 7 12
Indo-Pacific (-Inf,26] 3 cstar_tref ~ sal + temp + phosphate_star 3770 6.0806976 24319.3970 5.311932 23.754707 1982-1999 –> 2000-2009 12.560781 6.4800839 68449.9551 10.639024 9 18
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 3770 6.3833183 24689.6045 13.371184 57.083018 1982-1999 –> 2000-2009 12.931809 6.5484910 68965.0886 27.276590 10 20
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3851 5.9614951 24693.2093 12.039436 57.409867 2000-2009 –> 2010-2019 11.657288 5.6957928 48523.5534 29.238676 1 2
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3851 6.0962346 24865.3490 5.005989 75.720791 2000-2009 –> 2010-2019 12.037474 5.9412389 49013.8048 11.557302 2 6
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 3851 6.0997134 24867.7428 4.785701 74.494227 2000-2009 –> 2010-2019 12.053552 5.9538388 49030.1722 11.285398 3 8
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3851 6.1918133 24985.1665 6.905831 87.239225 2000-2009 –> 2010-2019 12.109694 5.9178811 49103.9206 13.527997 4 6
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3851 6.1931633 24986.8455 8.452647 87.245339 2000-2009 –> 2010-2019 12.116958 5.9237946 49113.1303 17.226335 5 8
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 3851 6.1953098 24987.5146 4.823573 87.168797 2000-2009 –> 2010-2019 12.164516 5.9692063 49169.3805 10.317863 6 12
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 3851 6.2719966 25082.2662 6.051576 88.219552 2000-2009 –> 2010-2019 12.335375 6.0633780 49382.1565 14.454258 7 14
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + aou + phosphate_star 3851 6.2767586 25088.1117 4.813989 88.362695 2000-2009 –> 2010-2019 12.342411 6.0656520 49390.8293 10.315494 8 16
Indo-Pacific (-Inf,26] 3 cstar_tref ~ sal + temp + phosphate_star 3851 6.3685134 25197.8861 4.781796 90.626487 2000-2009 –> 2010-2019 12.449211 6.0806976 49517.2831 10.093729 9 18
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 3851 7.2500742 26200.4167 10.888873 47.823649 2000-2009 –> 2010-2019 13.633392 6.3833183 50890.0213 24.260057 11 21
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4082 3.9941714 22904.0165 19.025375 15.548260 1982-1999 –> 2000-2009 8.019386 4.0252141 65630.5773 37.156029 1 2
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4082 4.0050358 22926.1930 19.269245 15.565611 1982-1999 –> 2000-2009 8.045535 4.0404996 65710.3350 37.811791 2 4
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4082 4.0489588 23015.2396 12.700788 17.214859 1982-1999 –> 2000-2009 8.171546 4.1225872 66104.9322 24.061332 3 6
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4082 4.0580459 23033.5417 17.956850 17.190815 1982-1999 –> 2000-2009 8.188751 4.1307049 66153.1191 34.489355 4 8
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 4082 4.2832648 23472.5117 12.001449 17.226684 1982-1999 –> 2000-2009 8.632497 4.3492324 67373.2564 22.863441 5 10
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 4082 4.2893671 23484.1346 13.780947 17.238728 1982-1999 –> 2000-2009 8.645594 4.3562270 67409.2921 26.549442 6 12
Indo-Pacific (26,26.5] 4 cstar_tref ~ sal + temp + aou + phosphate_star 4082 4.4978842 23871.6626 18.658435 17.984751 1982-1999 –> 2000-2009 8.991116 4.4932317 68267.2536 36.717051 10 17
Indo-Pacific (26,26.5] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 4082 4.4986015 23872.9646 19.169683 17.988024 1982-1999 –> 2000-2009 8.996410 4.4978088 68284.0234 37.712080 11 19
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4082 4.3503798 23601.4425 19.725243 16.876916 1982-1999 –> 2000-2009 9.098738 4.7483584 68838.0385 38.215376 7 18
Indo-Pacific (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 4082 4.3614494 23620.1895 19.006521 17.493644 1982-1999 –> 2000-2009 9.218396 4.8569471 69198.2934 36.989643 8 21
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4095 4.2329414 23452.4340 17.984356 15.639323 2000-2009 –> 2010-2019 8.227113 3.9941714 46356.4505 37.009731 1 2
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4095 4.2408454 23467.7126 18.197329 15.661628 2000-2009 –> 2010-2019 8.245881 4.0050358 46393.9055 37.466574 2 4
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4095 4.2754525 23534.2751 10.702166 15.056832 2000-2009 –> 2010-2019 8.324411 4.0489588 46549.5147 23.402954 3 6
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4095 4.2836115 23549.8896 15.236943 15.545500 2000-2009 –> 2010-2019 8.341657 4.0580459 46583.4314 33.193793 4 8
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4095 4.4015410 23772.3157 18.736982 14.929219 2000-2009 –> 2010-2019 8.751921 4.3503798 47373.7582 38.462226 5 12
Indo-Pacific (26,26.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 4095 4.4024807 23772.0640 17.970070 15.455115 2000-2009 –> 2010-2019 8.763930 4.3614494 47392.2535 36.976591 6 14
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 4095 4.4981870 23948.2001 10.103049 16.604612 2000-2009 –> 2010-2019 8.781452 4.2832648 47420.7118 22.104498 7 12
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 4095 4.5032128 23957.3457 11.438793 16.630496 2000-2009 –> 2010-2019 8.792580 4.2893671 47441.4803 25.219740 8 14
Indo-Pacific (26,26.5] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 4095 4.6154890 24159.0386 17.176733 20.984300 2000-2009 –> 2010-2019 9.077293 4.4618037 47964.9483 34.973490 9 18
Indo-Pacific (26,26.5] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 4095 4.8061991 24490.6413 18.166297 16.307418 2000-2009 –> 2010-2019 9.304801 4.4986015 48363.6059 37.335979 12 23
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 3537 3.4405873 18790.5040 12.875563 16.215439 1982-1999 –> 2000-2009 7.164435 3.7238480 53203.3354 25.117968 1 4
Indo-Pacific (26.5,26.75] 3 cstar_tref ~ temp + nitrate + phosphate_star 3537 3.4494850 18806.7745 8.161129 16.820364 1982-1999 –> 2000-2009 7.175311 3.7258258 53224.2878 16.681861 2 6
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 3537 3.7543237 19407.8236 13.824502 16.502216 1982-1999 –> 2000-2009 7.451241 3.6969175 53729.3179 28.084272 3 4
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 3537 3.7558368 19410.6739 18.509080 16.718999 1982-1999 –> 2000-2009 7.460419 3.7045822 53758.2313 37.808257 4 6
Indo-Pacific (26.5,26.75] 3 cstar_tref ~ temp + silicate + phosphate_star 3537 3.7595926 19415.7444 11.623792 17.345828 1982-1999 –> 2000-2009 7.577691 3.8180982 54141.1115 23.254824 5 10
Indo-Pacific (26.5,26.75] 3 cstar_tref ~ temp + phosphate + phosphate_star 3537 4.0486094 19939.6650 17.838886 22.995621 1982-1999 –> 2000-2009 7.950248 3.9016384 54937.4019 36.258379 6 12
Indo-Pacific (26.5,26.75] 3 cstar_tref ~ temp + aou + phosphate_star 3537 4.0558927 19952.3795 13.817621 23.495034 1982-1999 –> 2000-2009 7.957821 3.9019278 54951.0498 28.076386 7 14
Indo-Pacific (26.5,26.75] 2 cstar_tref ~ temp + phosphate_star 3537 4.3865645 20504.8081 7.351791 21.776257 1982-1999 –> 2000-2009 8.288938 3.9023737 55502.9162 14.735866 8 16
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3537 4.6744894 20960.5276 17.045597 40.247059 1982-1999 –> 2000-2009 9.220940 4.5464507 57886.9911 33.212528 9 19
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3537 4.7109250 21015.4526 12.723762 41.263727 1982-1999 –> 2000-2009 9.256820 4.5458944 57940.3762 24.715781 12 21
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 3425 3.6546181 18609.2713 12.842268 17.098828 2000-2009 –> 2010-2019 7.095205 3.4405873 37399.7753 25.717831 1 2
Indo-Pacific (26.5,26.75] 3 cstar_tref ~ temp + nitrate + phosphate_star 3425 3.7265896 18740.8595 8.464678 18.526578 2000-2009 –> 2010-2019 7.176075 3.4494850 37547.6340 16.625807 2 4
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 3425 4.1167425 19424.9050 14.533459 16.051700 2000-2009 –> 2010-2019 7.871066 3.7543237 38832.7286 28.357961 4 7
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 3425 4.1152911 19422.4895 19.130922 15.982289 2000-2009 –> 2010-2019 7.871128 3.7558368 38833.1635 37.640002 3 7
Indo-Pacific (26.5,26.75] 3 cstar_tref ~ temp + silicate + phosphate_star 3425 4.1182358 19425.3893 11.488098 16.161485 2000-2009 –> 2010-2019 7.877828 3.7595926 38841.1336 23.111890 5 10
Indo-Pacific (26.5,26.75] 3 cstar_tref ~ temp + phosphate + phosphate_star 3425 4.5345918 20085.1141 17.758897 16.865915 2000-2009 –> 2010-2019 8.583201 4.0486094 40024.7791 35.597783 6 12
Indo-Pacific (26.5,26.75] 3 cstar_tref ~ temp + aou + phosphate_star 3425 4.5504878 20109.0848 13.846581 17.473314 2000-2009 –> 2010-2019 8.606381 4.0558927 40061.4643 27.664202 7 14
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3425 5.0014983 20760.4310 17.651309 22.873165 2000-2009 –> 2010-2019 9.675988 4.6744894 41720.9587 34.696907 8 17
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ sal + nitrate + phosphate + phosphate_star 3425 5.0585516 20836.1283 17.587548 23.187264 2000-2009 –> 2010-2019 9.762662 4.7041105 41839.3408 34.319400 10 20
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3425 5.0537227 20831.5861 13.311395 23.538815 2000-2009 –> 2010-2019 9.764648 4.7109250 41847.0387 26.035157 9 21
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 4257 3.5117590 22787.4233 18.622690 25.657919 1982-1999 –> 2000-2009 6.818560 3.3068008 61997.0700 38.485645 2 3
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 4257 3.4941428 22744.6066 11.774376 25.330720 1982-1999 –> 2000-2009 6.884957 3.3908142 62330.3355 24.604910 1 3
Indo-Pacific (26.75,27] 3 cstar_tref ~ temp + nitrate + phosphate_star 4257 3.5123070 22786.7518 9.990509 25.506666 1982-1999 –> 2000-2009 6.912114 3.3998066 62410.1816 20.709395 3 6
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 4257 4.2563685 24424.6594 17.398674 28.405261 1982-1999 –> 2000-2009 8.134297 3.8779283 66022.5111 35.636000 4 8
Indo-Pacific (26.75,27] 3 cstar_tref ~ temp + aou + phosphate_star 4257 4.3058359 24521.0382 14.977616 27.421881 1982-1999 –> 2000-2009 8.217962 3.9121262 66248.5013 31.278330 5 11
Indo-Pacific (26.75,27] 3 cstar_tref ~ temp + silicate + phosphate_star 4257 4.4611831 24822.7974 11.700943 33.929831 1982-1999 –> 2000-2009 8.366609 3.9054256 66524.5639 24.467174 6 11
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4257 5.1554267 26058.2275 14.941567 27.993748 1982-1999 –> 2000-2009 9.954029 4.7986018 70851.3017 30.133196 7 15
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 4257 5.2347027 26186.1524 12.528635 28.673472 1982-1999 –> 2000-2009 10.077543 4.8428405 71114.7874 25.228236 8 17
Indo-Pacific (26.75,27] 2 cstar_tref ~ temp + phosphate_star 4257 5.8246452 27091.3458 8.719761 50.145770 1982-1999 –> 2000-2009 10.184080 4.3594352 70439.6486 17.626612 29 36
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + nitrate + phosphate + phosphate_star 4257 5.2883813 26273.0136 14.711442 30.607979 1982-1999 –> 2000-2009 10.241276 4.9528944 71538.4845 29.784764 9 19
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 4294 3.7062136 23448.2165 12.673139 18.660718 2000-2009 –> 2010-2019 7.200356 3.4941428 46192.8231 24.447515 1 2
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 4294 3.7409191 23528.2615 19.653482 18.313350 2000-2009 –> 2010-2019 7.252678 3.5117590 46315.6848 38.276172 2 4
Indo-Pacific (26.75,27] 3 cstar_tref ~ temp + nitrate + phosphate_star 4294 3.7638898 23578.8340 10.578942 18.521776 2000-2009 –> 2010-2019 7.276197 3.5123070 46365.5858 20.569451 3 6
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 4294 4.5640298 25236.1970 18.488226 22.020387 2000-2009 –> 2010-2019 8.820398 4.2563685 49660.8563 35.886901 4 8
Indo-Pacific (26.75,27] 3 cstar_tref ~ temp + phosphate + phosphate_star 4294 4.5686359 25242.8597 19.994683 20.488160 2000-2009 –> 2010-2019 8.835559 4.2669232 49686.6053 39.347802 5 10
Indo-Pacific (26.75,27] 3 cstar_tref ~ temp + aou + phosphate_star 4294 4.6174625 25334.1556 15.649952 21.553465 2000-2009 –> 2010-2019 8.923298 4.3058359 49855.1939 30.627569 6 12
Indo-Pacific (26.75,27] 3 cstar_tref ~ temp + silicate + phosphate_star 4294 4.9175943 25874.9776 12.505711 25.607221 2000-2009 –> 2010-2019 9.378777 4.4611831 50697.7750 24.206654 7 14
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4294 5.4086007 26696.3058 15.022627 27.567864 2000-2009 –> 2010-2019 10.564027 5.1554267 52754.5333 29.964195 8 16
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 4294 5.5143127 26860.5404 12.785119 27.264704 2000-2009 –> 2010-2019 10.749015 5.2347027 53046.6928 25.313754 9 18
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + nitrate + phosphate + phosphate_star 4294 5.5520042 26919.0415 14.853230 28.451919 2000-2009 –> 2010-2019 10.840386 5.2883813 53192.0551 29.564672 10 20
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 5061 3.2450764 26289.4956 10.453200 12.053981 1982-1999 –> 2000-2009 5.934393 2.6893162 69924.0922 20.831543 1 4
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 5061 3.3243947 26533.9291 12.987541 12.559494 1982-1999 –> 2000-2009 5.989070 2.6646751 70001.7897 26.792949 2 3
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + nitrate + phosphate + phosphate_star 5061 3.3269917 26541.8332 18.802086 12.576562 1982-1999 –> 2000-2009 5.998802 2.6718104 70058.1335 37.619754 3 5
Indo-Pacific (27,27.25] 3 cstar_tref ~ temp + nitrate + phosphate_star 5061 3.3742503 26682.6005 10.168113 12.804387 1982-1999 –> 2000-2009 6.375685 3.0014350 72304.1786 20.403970 4 8
Indo-Pacific (27,27.25] 3 cstar_tref ~ temp + phosphate + phosphate_star 5061 4.4054974 29381.9356 13.848173 15.187307 1982-1999 –> 2000-2009 8.026913 3.6214153 78404.8595 27.825226 5 10
Indo-Pacific (27,27.25] 3 cstar_tref ~ temp + aou + phosphate_star 5061 4.4299585 29437.9817 11.585056 15.333415 1982-1999 –> 2000-2009 8.061468 3.6315094 78511.3248 23.242975 6 12
Indo-Pacific (27,27.25] 3 cstar_tref ~ temp + silicate + phosphate_star 5061 4.9345309 30529.8153 10.444618 17.517170 1982-1999 –> 2000-2009 8.695400 3.7608695 80237.1812 20.756203 7 14
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5061 5.0217387 30711.1388 19.014912 17.637442 1982-1999 –> 2000-2009 9.381448 4.3597098 83098.9444 39.007997 8 17
Indo-Pacific (27,27.25] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 5061 5.1107256 30886.9333 16.836160 19.303124 1982-1999 –> 2000-2009 9.509282 4.3985560 83433.4249 34.443098 9 19
Indo-Pacific (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 5061 5.4080925 31459.3837 18.471383 22.322211 1982-1999 –> 2000-2009 10.014871 4.6067789 84843.6946 37.909642 10 21
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 5145 3.5356108 27607.9753 11.108605 10.731489 2000-2009 –> 2010-2019 6.780687 3.2450764 53897.4709 21.561805 1 2
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 5145 3.5819806 27742.0521 14.854201 11.089103 2000-2009 –> 2010-2019 6.906375 3.3243947 54275.9811 27.841742 2 4
Indo-Pacific (27,27.25] 3 cstar_tref ~ temp + nitrate + phosphate_star 5145 3.5879787 27757.2683 10.651078 11.046930 2000-2009 –> 2010-2019 6.962229 3.3742503 54439.8688 20.819191 3 6
Indo-Pacific (27,27.25] 3 cstar_tref ~ temp + phosphate + phosphate_star 5145 4.7989624 30749.7108 14.463988 22.865947 2000-2009 –> 2010-2019 9.204460 4.4054974 60131.6464 28.312162 4 8
Indo-Pacific (27,27.25] 3 cstar_tref ~ temp + aou + phosphate_star 5145 4.8334622 30823.4210 12.253424 23.231943 2000-2009 –> 2010-2019 9.263421 4.4299585 60261.4027 23.838480 5 10
Indo-Pacific (27,27.25] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 5145 5.3383973 31847.8607 17.920013 21.688493 2000-2009 –> 2010-2019 10.449123 5.1107256 62734.7940 34.756173 6 13
Indo-Pacific (27,27.25] 3 cstar_tref ~ temp + silicate + phosphate_star 5145 5.5763375 32294.5738 11.100290 27.092559 2000-2009 –> 2010-2019 10.510868 4.9345309 62824.3891 21.544908 7 13
Indo-Pacific (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 5145 5.6465875 32425.3963 19.654298 24.357571 2000-2009 –> 2010-2019 11.054680 5.4080925 63884.7799 38.125682 8 16
Indo-Pacific (27,27.25] 4 cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 5145 5.7527167 32617.0045 15.596096 31.215023 2000-2009 –> 2010-2019 11.399568 5.6468516 64513.6759 30.427248 9 18
Indo-Pacific (27,27.25] 3 cstar_tref ~ silicate + phosphate + phosphate_star 5145 5.8269833 32746.9966 12.879932 31.288132 2000-2009 –> 2010-2019 11.535088 5.7081049 64750.8734 25.129667 10 20
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4638 3.4000298 24527.8962 17.344717 19.997681 1982-1999 –> 2000-2009 5.809262 2.4092317 62527.3135 35.282285 1 2
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 4638 3.5075657 24814.7327 14.362662 20.629737 1982-1999 –> 2000-2009 6.002777 2.4952115 63391.7136 30.600354 2 4
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 4638 3.6363181 25149.1270 16.425753 17.832458 1982-1999 –> 2000-2009 6.441339 2.8050209 65660.5037 33.919560 3 6
Indo-Pacific (27.25,27.5] 3 cstar_tref ~ temp + nitrate + phosphate_star 4638 3.8192694 25602.4626 8.414861 18.275858 1982-1999 –> 2000-2009 6.787763 2.9684935 67048.0451 17.090236 4 10
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 4638 4.0303793 26103.5238 17.106176 20.229142 1982-1999 –> 2000-2009 6.992822 2.9624425 67517.3806 35.460643 5 9
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + temp + aou + phosphate_star 4638 4.0368043 26118.2992 16.962443 20.229313 1982-1999 –> 2000-2009 7.000894 2.9640901 67541.3461 35.157942 6 11
Indo-Pacific (27.25,27.5] 3 cstar_tref ~ silicate + phosphate + phosphate_star 4638 4.0658819 26182.8760 18.587072 33.022525 1982-1999 –> 2000-2009 7.242833 3.1769506 68750.1679 37.147463 7 17
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 4638 4.3952235 26907.3624 16.424943 16.260803 1982-1999 –> 2000-2009 7.431337 3.0361138 68727.2173 33.961868 16 23
Indo-Pacific (27.25,27.5] 3 cstar_tref ~ temp + phosphate + phosphate_star 4638 4.3052978 26713.6083 9.353474 20.815841 1982-1999 –> 2000-2009 7.444374 3.1390759 69082.6738 18.800000 13 21
Indo-Pacific (27.25,27.5] 3 cstar_tref ~ temp + aou + phosphate_star 4638 4.3136101 26731.5002 8.864880 20.819439 1982-1999 –> 2000-2009 7.454618 3.1410079 69110.7353 17.890097 14 23
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4677 3.8290688 25845.6339 18.343530 17.892064 2000-2009 –> 2010-2019 7.229099 3.4000298 50373.5300 35.688248 1 2
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 4677 3.9776103 26199.6431 15.908001 18.654937 2000-2009 –> 2010-2019 7.485176 3.5075657 51014.3758 30.270663 2 4
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 4677 3.9830848 26212.5085 17.591596 16.138297 2000-2009 –> 2010-2019 7.619403 3.6363181 51361.6355 34.017349 3 6
Indo-Pacific (27.25,27.5] 3 cstar_tref ~ temp + nitrate + phosphate_star 4677 4.2016269 26710.1543 9.015813 16.647490 2000-2009 –> 2010-2019 8.020896 3.8192694 52312.6169 17.430674 4 8
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 4677 4.4209702 27188.1548 18.123718 19.496043 2000-2009 –> 2010-2019 8.451349 4.0303793 53291.6786 35.229894 5 10
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + temp + aou + phosphate_star 4677 4.4308758 27209.0899 17.991300 19.495071 2000-2009 –> 2010-2019 8.467680 4.0368043 53327.3891 34.953742 6 12
Indo-Pacific (27.25,27.5] 3 cstar_tref ~ silicate + phosphate + phosphate_star 4677 4.4332087 27212.0135 19.687240 32.726771 2000-2009 –> 2010-2019 8.499091 4.0658819 53394.8894 38.274312 7 14
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + nitrate + phosphate + phosphate_star 4677 4.4927762 27338.8630 13.110467 19.570552 2000-2009 –> 2010-2019 8.662011 4.1692352 53756.5845 25.038284 8 16
Indo-Pacific (27.25,27.5] 3 cstar_tref ~ sal + phosphate + phosphate_star 4677 4.5397944 27434.2468 3.657576 20.185782 2000-2009 –> 2010-2019 8.737890 4.1980959 53913.9584 7.237933 10 19
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 4677 4.5396739 27435.9984 14.025274 19.626879 2000-2009 –> 2010-2019 8.742669 4.2029955 53928.5297 26.535947 9 19
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 4438 3.1493797 22789.0945 16.942958 9.597191 1982-1999 –> 2000-2009 5.579307 2.4299276 58445.7679 32.006675 7 8
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 4438 3.1031763 22657.9133 17.950774 9.021871 1982-1999 –> 2000-2009 5.597069 2.4938933 58716.0852 34.171820 3 7
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + phosphate_star 4438 3.1040145 22660.3106 17.733638 9.025154 1982-1999 –> 2000-2009 5.597168 2.4931536 58713.8989 33.718112 5 8
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 4438 3.0793488 22589.4968 16.859414 8.964664 1982-1999 –> 2000-2009 5.638662 2.5593133 59047.7819 31.739809 1 6
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + silicate + phosphate_star 4438 3.1554218 22804.1068 3.629257 9.342411 1982-1999 –> 2000-2009 5.642661 2.4872393 58818.9959 7.134400 8 10
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + nitrate + phosphate_star 4438 3.0843967 22602.0350 3.744693 8.728467 1982-1999 –> 2000-2009 5.681841 2.5974448 59286.8428 7.339601 2 10
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + aou + phosphate_star 4438 3.1045545 22659.8546 3.803229 8.937992 1982-1999 –> 2000-2009 5.688684 2.5841296 59265.2473 7.502465 6 12
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + phosphate + phosphate_star 4438 3.1033585 22656.4344 3.825562 8.970362 1982-1999 –> 2000-2009 5.696528 2.5931691 59315.7854 7.549667 4 11
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + temp + nitrate 4438 3.2875791 23168.2826 4.155508 9.629252 1982-1999 –> 2000-2009 6.210971 2.9233918 61679.7690 8.164092 12 26
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + temp + aou 4438 3.2824193 23154.3411 4.098511 9.786730 1982-1999 –> 2000-2009 6.222525 2.9401054 61753.9179 8.041581 10 25
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 4429 3.7230663 24225.2202 14.029219 10.379202 2000-2009 –> 2010-2019 6.802415 3.0793488 46814.7170 30.888632 1 2
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + nitrate + phosphate_star 4429 3.7236359 24224.5754 3.673216 10.318718 2000-2009 –> 2010-2019 6.808033 3.0843967 46826.6104 7.417909 2 4
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 4429 3.7318929 24246.1959 14.920284 10.500369 2000-2009 –> 2010-2019 6.835069 3.1031763 46904.1092 32.871058 3 6
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + phosphate_star 4429 3.7340489 24251.3117 14.751133 10.499593 2000-2009 –> 2010-2019 6.838063 3.1040145 46911.6223 32.484771 4 9
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + aou + phosphate_star 4429 3.7495879 24286.0972 3.729277 10.870524 2000-2009 –> 2010-2019 6.854142 3.1045545 46945.9518 7.532506 5 11
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + phosphate + phosphate_star 4429 3.7538686 24296.2042 3.747724 10.951093 2000-2009 –> 2010-2019 6.857227 3.1033585 46952.6385 7.573285 6 10
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + temp + phosphate 4429 3.7855441 24370.6352 3.852028 10.220577 2000-2009 –> 2010-2019 7.037955 3.2524106 47443.4564 7.936477 7 16
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 4429 3.8995539 24635.4745 14.136923 11.508503 2000-2009 –> 2010-2019 7.048934 3.1493797 47424.5690 31.079881 10 17
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + silicate + phosphate_star 4429 3.8995669 24633.5041 3.566217 11.499177 2000-2009 –> 2010-2019 7.054989 3.1554218 47437.6109 7.195474 11 19
Indo-Pacific (27.5,27.75] 3 cstar_tref ~ sal + temp + aou 4429 3.8291132 24472.0028 3.871906 10.578630 2000-2009 –> 2010-2019 7.111533 3.2824193 47626.3439 7.970417 8 18
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ temp + aou + phosphate_star 1555 2.4134551 7162.9935 17.878853 8.336972 1982-1999 –> 2000-2009 4.246209 1.8327544 18908.4938 34.700141 6 7
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + silicate + phosphate_star 1555 2.3923179 7135.6359 8.231093 7.330922 1982-1999 –> 2000-2009 4.247218 1.8549001 18950.7511 16.366650 2 5
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ temp + phosphate + phosphate_star 1555 2.4142915 7164.0711 18.654214 8.307042 1982-1999 –> 2000-2009 4.248542 1.8342507 18914.3015 36.247361 7 9
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + aou + phosphate_star 1555 2.3882227 7130.3076 9.064057 6.769183 1982-1999 –> 2000-2009 4.257125 1.8689019 18989.0099 18.088990 1 6
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ temp + silicate + phosphate_star 1555 2.4275842 7181.1473 15.212047 8.245738 1982-1999 –> 2000-2009 4.283179 1.8555950 18998.4334 29.410511 10 14
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + phosphate + phosphate_star 1555 2.3956084 7139.9107 9.224633 6.752212 1982-1999 –> 2000-2009 4.284181 1.8885731 19059.3001 18.431538 3 9
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + temp + silicate 1555 2.4162255 7166.5614 14.071599 7.560797 1982-1999 –> 2000-2009 4.347485 1.9312592 19215.4952 28.047543 8 16
Indo-Pacific (27.75,27.85] 2 cstar_tref ~ sal + silicate 1555 2.4169321 7165.4708 1.482596 7.353761 1982-1999 –> 2000-2009 4.349156 1.9322241 19215.2998 3.034087 9 18
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + temp + aou 1555 2.4086327 7156.7730 14.287963 7.633992 1982-1999 –> 2000-2009 4.349780 1.9411472 19235.3068 28.430978 4 14
Indo-Pacific (27.75,27.85] 2 cstar_tref ~ sal + aou 1555 2.4120709 7159.2093 1.867049 7.172268 1982-1999 –> 2000-2009 4.354368 1.9422974 19239.1764 3.804661 5 16
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + aou + phosphate_star 1649 2.8312212 8121.9147 8.808019 9.637762 2000-2009 –> 2010-2019 5.219444 2.3882227 15252.2223 17.872076 3 4
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + phosphate + phosphate_star 1649 2.8319541 8122.7684 8.950003 9.627135 2000-2009 –> 2010-2019 5.227563 2.3956084 15262.6790 18.174636 5 8
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + silicate + phosphate_star 1649 2.8364470 8127.9965 8.008434 9.634161 2000-2009 –> 2010-2019 5.228765 2.3923179 15263.6324 16.239527 7 9
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + temp + aou 1649 2.8296282 8120.0585 13.566749 9.583202 2000-2009 –> 2010-2019 5.238261 2.4086327 15276.8316 27.854713 1 5
Indo-Pacific (27.75,27.85] 2 cstar_tref ~ sal + aou 1649 2.8314248 8120.1518 1.861975 9.725886 2000-2009 –> 2010-2019 5.243496 2.4120709 15279.3612 3.729024 4 9
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + temp + silicate 1649 2.8359027 8127.3636 13.334076 9.649819 2000-2009 –> 2010-2019 5.252128 2.4162255 15293.9249 27.405675 6 14
Indo-Pacific (27.75,27.85] 2 cstar_tref ~ sal + silicate 1649 2.8368002 8126.4072 1.487526 9.752266 2000-2009 –> 2010-2019 5.253732 2.4169321 15291.8780 2.970121 8 17
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + temp + phosphate 1649 2.8307470 8121.3623 13.393183 9.505632 2000-2009 –> 2010-2019 5.263942 2.4331955 15309.6899 27.514066 2 14
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + nitrate + phosphate_star 1649 2.8448221 8137.7201 8.429073 9.709097 2000-2009 –> 2010-2019 5.272942 2.4281195 15319.5531 17.161942 10 21
Indo-Pacific (27.75,27.85] 3 cstar_tref ~ sal + temp + nitrate 1649 2.8445394 8137.3922 13.401450 9.775536 2000-2009 –> 2010-2019 5.296719 2.4521792 15349.8899 27.536942 9 22
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + temp + aou 2112 2.1176960 9172.9849 9.454796 12.785928 1982-1999 –> 2000-2009 3.795484 1.6777878 23737.0777 19.298568 1 2
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + silicate + phosphate_star 2112 2.1677257 9271.6146 7.516207 12.975891 1982-1999 –> 2000-2009 3.854711 1.6869854 23876.7975 15.116682 5 7
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + aou + phosphate_star 2112 2.1642424 9264.8217 7.691331 13.180770 1982-1999 –> 2000-2009 3.877342 1.7130997 23985.4599 15.552950 4 8
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + temp + silicate 2112 2.1548021 9246.3565 9.649835 12.487898 1982-1999 –> 2000-2009 3.878320 1.7235183 24012.5662 19.686947 3 9
Indo-Pacific (27.85,27.95] 2 cstar_tref ~ sal + silicate 2112 2.1682234 9270.5844 1.861430 13.168420 1982-1999 –> 2000-2009 3.891748 1.7235250 24034.8232 3.897015 6 13
Indo-Pacific (27.85,27.95] 2 cstar_tref ~ sal + aou 2112 2.1782489 9290.0703 2.432858 14.211199 1982-1999 –> 2000-2009 3.893851 1.7156021 24019.6793 5.060330 9 14
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + temp + phosphate 2112 2.1461520 9229.3658 9.424766 12.289089 1982-1999 –> 2000-2009 3.917651 1.7714993 24201.9537 19.237245 2 12
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + phosphate + phosphate_star 2112 2.1773528 9290.3322 7.843859 13.091561 1982-1999 –> 2000-2009 3.923958 1.7466057 24156.5543 15.882148 7 16
Indo-Pacific (27.85,27.95] 2 cstar_tref ~ temp + aou 2112 2.2095913 9350.4155 2.170768 11.544837 1982-1999 –> 2000-2009 3.937641 1.7280498 24134.3606 4.464505 11 19
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ temp + silicate + phosphate_star 2112 2.2490946 9427.2656 17.893566 11.759047 1982-1999 –> 2000-2009 3.953120 1.7040249 24107.9831 34.764747 15 18
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + temp + aou 2177 2.4261421 10047.0189 9.318370 17.055961 2000-2009 –> 2010-2019 4.543838 2.1176960 19220.0038 18.773166 1 2
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + temp + phosphate 2177 2.4342126 10061.4784 9.246916 17.490821 2000-2009 –> 2010-2019 4.580365 2.1461520 19290.8442 18.671682 2 4
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + temp + silicate 2177 2.4757743 10135.1909 9.493765 18.174651 2000-2009 –> 2010-2019 4.630576 2.1548021 19381.5474 19.143601 4 7
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + aou + phosphate_star 2177 2.4729881 10130.2883 8.324150 18.387329 2000-2009 –> 2010-2019 4.637231 2.1642424 19395.1099 16.015481 3 7
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + phosphate + phosphate_star 2177 2.4803707 10143.2669 8.464155 18.538136 2000-2009 –> 2010-2019 4.657724 2.1773528 19433.5991 16.308014 5 12
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + silicate + phosphate_star 2177 2.4969995 10172.3594 8.218255 19.054584 2000-2009 –> 2010-2019 4.664725 2.1677257 19443.9740 15.734462 7 12
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ sal + temp + nitrate 2177 2.4858729 10152.9148 9.215996 17.691019 2000-2009 –> 2010-2019 4.686236 2.2003635 19487.6529 18.607631 6 16
Indo-Pacific (27.85,27.95] 2 cstar_tref ~ sal + phosphate 2177 2.5153029 10202.1584 2.117366 17.959024 2000-2009 –> 2010-2019 4.693451 2.1781481 19492.0332 4.118519 8 16
Indo-Pacific (27.85,27.95] 2 cstar_tref ~ sal + silicate 2177 2.5335437 10233.6194 1.989968 18.557040 2000-2009 –> 2010-2019 4.701767 2.1682234 19504.2038 3.851399 11 17
Indo-Pacific (27.85,27.95] 2 cstar_tref ~ sal + aou 2177 2.5333920 10233.3587 2.565908 17.644416 2000-2009 –> 2010-2019 4.711641 2.1782489 19523.4290 4.998767 10 19
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1995 1.9765709 8392.2049 19.331374 14.171834 1982-1999 –> 2000-2009 3.746357 1.7697858 23447.0707 36.574934 1 2
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ temp + silicate + phosphate_star 1995 2.1200213 8669.7551 14.325456 13.362927 1982-1999 –> 2000-2009 3.965839 1.8458178 24040.6241 26.980268 6 8
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ temp + aou + phosphate_star 1995 2.1180201 8665.9868 15.604517 14.743421 1982-1999 –> 2000-2009 4.000915 1.8828949 24187.2089 29.178761 3 7
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ temp + phosphate + phosphate_star 1995 2.1195742 8668.9134 16.950332 14.724634 1982-1999 –> 2000-2009 4.002927 1.8833526 24191.9730 31.763674 5 10
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ sal + temp + aou 1995 2.0926011 8617.8119 12.412823 12.690365 1982-1999 –> 2000-2009 4.010144 1.9175433 24276.8862 22.897854 2 8
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ temp + nitrate + phosphate_star 1995 2.1341619 8696.2802 15.554723 14.708209 1982-1999 –> 2000-2009 4.012340 1.8781776 24198.5382 29.197786 7 10
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ sal + temp + silicate 1995 2.1191886 8668.1876 12.531170 10.962696 1982-1999 –> 2000-2009 4.039082 1.9198934 24336.5217 23.252566 4 11
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ sal + silicate + phosphate_star 1995 2.1363173 8700.3077 9.503398 12.455408 1982-1999 –> 2000-2009 4.056989 1.9206715 24371.7050 17.499492 8 16
Indo-Pacific (27.95,28.05] 2 cstar_tref ~ sal + silicate 1995 2.1527885 8728.9530 2.612586 11.436069 1982-1999 –> 2000-2009 4.097100 1.9443112 24490.8310 5.181688 9 18
Indo-Pacific (27.95,28.05] 2 cstar_tref ~ temp + aou 1995 2.1920883 8801.1348 2.612252 12.160533 1982-1999 –> 2000-2009 4.145559 1.9534711 24598.5454 5.269900 14 24
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ sal + temp + aou 2000 2.3510808 9105.2547 12.556897 33.187070 2000-2009 –> 2010-2019 4.443682 2.0926011 17723.0667 24.969719 1 2
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ sal + temp + silicate 2000 2.3513698 9105.7463 12.716501 33.098444 2000-2009 –> 2010-2019 4.470558 2.1191886 17773.9339 25.247672 2 5
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ sal + silicate + phosphate_star 2000 2.4279336 9233.9163 9.589580 33.435576 2000-2009 –> 2010-2019 4.564251 2.1363173 17934.2240 19.092978 5 12
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ sal + temp + phosphate 2000 2.3956296 9180.3384 12.429683 34.028222 2000-2009 –> 2010-2019 4.580167 2.1845375 17969.7056 24.656555 3 12
Indo-Pacific (27.95,28.05] 2 cstar_tref ~ sal + silicate 2000 2.4308851 9236.7758 2.801090 33.144598 2000-2009 –> 2010-2019 4.583673 2.1527885 17965.7288 5.413677 6 14
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ sal + temp + nitrate 2000 2.4191613 9219.4377 12.175228 34.875656 2000-2009 –> 2010-2019 4.607355 2.1881934 18015.4768 24.107218 4 14
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ temp + silicate + phosphate_star 2000 2.5019750 9354.0759 15.272353 32.467195 2000-2009 –> 2010-2019 4.621996 2.1200213 18023.8310 29.597809 10 15
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ temp + aou + phosphate_star 2000 2.5074604 9362.8360 15.895137 32.999442 2000-2009 –> 2010-2019 4.625481 2.1180201 18028.8228 31.499654 11 13
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ temp + phosphate + phosphate_star 2000 2.5089386 9365.1934 17.288573 33.024844 2000-2009 –> 2010-2019 4.628513 2.1195742 18034.1068 34.238905 13 17
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ temp + nitrate + phosphate_star 2000 2.5225198 9386.7874 16.237237 34.038050 2000-2009 –> 2010-2019 4.656682 2.1341619 18083.0676 31.791959 16 22
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ temp + silicate + phosphate_star 1343 1.8740464 5508.3453 12.102487 13.248225 1982-1999 –> 2000-2009 3.490519 1.6164727 14596.4495 22.485855 1 2
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ temp + nitrate + phosphate_star 1343 1.9681518 5639.9459 11.045441 13.279892 1982-1999 –> 2000-2009 3.699835 1.7316835 15057.1416 20.836902 3 5
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ temp + phosphate + phosphate_star 1343 1.9910504 5671.0159 12.910636 13.453260 1982-1999 –> 2000-2009 3.770254 1.7792037 15217.6150 24.253649 5 8
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ temp + aou + phosphate_star 1343 1.9908899 5670.7994 11.614232 13.460073 1982-1999 –> 2000-2009 3.770286 1.7793960 15217.9153 21.799221 4 8
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ sal + silicate + phosphate_star 1343 2.0256207 5717.2523 7.920547 9.933341 1982-1999 –> 2000-2009 3.829135 1.8035142 15328.7218 14.953756 8 13
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ sal + temp + silicate 1343 1.9672492 5638.7137 18.258318 9.106336 1982-1999 –> 2000-2009 3.848885 1.8816357 15452.8761 33.671422 2 8
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ sal + temp + aou 1343 2.0070351 5692.4937 17.906393 11.023126 1982-1999 –> 2000-2009 3.904155 1.8971195 15545.8292 33.174168 6 14
Indo-Pacific (28.05,28.1] 2 cstar_tref ~ sal + silicate 1343 2.0292848 5720.1065 2.963961 9.417858 1982-1999 –> 2000-2009 3.922273 1.8929879 15561.0207 5.716445 9 16
Indo-Pacific (28.05,28.1] 2 cstar_tref ~ temp + silicate 1343 2.0085625 5692.5371 2.358551 9.184220 1982-1999 –> 2000-2009 3.935774 1.9272119 15619.0987 4.501156 7 17
Indo-Pacific (28.05,28.1] 2 cstar_tref ~ temp + aou 1343 2.0364277 5729.5445 2.895495 10.955071 1982-1999 –> 2000-2009 3.973041 1.9366135 15679.3678 5.479984 10 23
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ temp + silicate + phosphate_star 1335 1.9678268 5605.9685 11.028552 15.662477 2000-2009 –> 2010-2019 3.841873 1.8740464 11114.3137 23.131040 1 2
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ sal + temp + silicate 1335 1.9680461 5606.2660 17.753344 13.079962 2000-2009 –> 2010-2019 3.935295 1.9672492 11244.9798 36.011663 2 4
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ temp + nitrate + phosphate_star 1335 2.0476382 5712.1202 10.152731 16.073844 2000-2009 –> 2010-2019 4.015790 1.9681518 11352.0661 21.198172 5 8
Indo-Pacific (28.05,28.1] 2 cstar_tref ~ temp + silicate 1335 2.0210909 5675.2778 2.454779 12.911517 2000-2009 –> 2010-2019 4.029653 2.0085625 11367.8149 4.813330 3 10
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ sal + temp + aou 1335 2.0318094 5691.4002 17.404865 15.345737 2000-2009 –> 2010-2019 4.038844 2.0070351 11383.8940 35.311258 4 10
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ temp + aou + phosphate_star 1335 2.0622890 5731.1561 10.440240 16.073490 2000-2009 –> 2010-2019 4.053179 1.9908899 11401.9555 22.054472 7 11
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ temp + phosphate + phosphate_star 1335 2.0625445 5731.4867 11.617314 16.068230 2000-2009 –> 2010-2019 4.053595 1.9910504 11402.5026 24.527950 8 13
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ sal + silicate + phosphate_star 1335 2.0760658 5748.9332 7.635466 12.832601 2000-2009 –> 2010-2019 4.101686 2.0256207 11466.1855 15.556012 11 19
Indo-Pacific (28.05,28.1] 2 cstar_tref ~ temp + aou 1335 2.0692188 5738.1128 2.976381 14.998193 2000-2009 –> 2010-2019 4.105646 2.0364277 11467.6573 5.871876 10 20
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ sal + temp + nitrate 1335 2.0581480 5725.7894 16.964189 13.797109 2000-2009 –> 2010-2019 4.110051 2.0519032 11477.6685 34.430528 6 17
Indo-Pacific (28.1,28.2] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 2889 1.5342176 10683.7296 8.358320 17.815117 1982-1999 –> 2000-2009 2.924431 1.3902131 28816.1016 17.017877 1 2
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ temp + silicate + phosphate_star 2889 1.7419487 11415.4424 7.252746 16.771013 1982-1999 –> 2000-2009 3.289865 1.5479165 30659.4548 14.602314 2 4
Indo-Pacific (28.1,28.2] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 2889 1.7435519 11422.7577 9.563651 18.143428 1982-1999 –> 2000-2009 3.361307 1.6177550 31126.1291 19.913909 3 6
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ temp + nitrate + phosphate_star 2889 1.7629037 11484.5351 7.283539 18.192726 1982-1999 –> 2000-2009 3.380873 1.6179694 31187.2799 14.911425 4 8
Indo-Pacific (28.1,28.2] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 2889 1.8080615 11632.6779 10.390426 18.561481 1982-1999 –> 2000-2009 3.507743 1.6996819 31848.0485 21.716368 6 11
Indo-Pacific (28.1,28.2] 4 cstar_tref ~ sal + temp + aou + phosphate_star 2889 1.8083296 11633.5344 9.581735 18.569958 1982-1999 –> 2000-2009 3.508541 1.7002114 31852.1331 19.999056 7 13
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ temp + aou + phosphate_star 2889 1.8477632 11756.1792 7.842820 18.358021 1982-1999 –> 2000-2009 3.555552 1.7077891 32018.8669 16.130105 8 15
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ temp + phosphate + phosphate_star 2889 1.8486396 11758.9190 8.881048 18.338384 1982-1999 –> 2000-2009 3.556561 1.7079212 32022.4086 18.288062 9 17
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ sal + temp + silicate 2889 1.8037714 11616.9517 6.861153 9.748016 1982-1999 –> 2000-2009 3.644890 1.8411184 32658.7387 13.332842 5 15
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ sal + silicate + phosphate_star 2889 1.9057446 11934.7018 6.390037 11.769889 1982-1999 –> 2000-2009 3.699065 1.7933204 32703.8705 12.115777 12 21
Indo-Pacific (28.1,28.2] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 2712 1.7345603 10695.6121 9.097050 14.816106 2000-2009 –> 2010-2019 3.268778 1.5342176 21379.3417 17.455370 1 2
Indo-Pacific (28.1,28.2] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 2712 1.9043656 11202.1864 10.494763 13.134445 2000-2009 –> 2010-2019 3.647918 1.7435519 22624.9441 20.058413 3 6
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ sal + temp + silicate 2712 1.8474370 11035.5698 7.336928 10.966836 2000-2009 –> 2010-2019 3.651208 1.8037714 22652.5216 14.198081 2 7
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ temp + silicate + phosphate_star 2712 1.9637435 11366.7230 7.865752 11.104352 2000-2009 –> 2010-2019 3.705692 1.7419487 22782.1654 15.118498 7 9
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ temp + nitrate + phosphate_star 2712 1.9526924 11336.1129 8.024896 12.154642 2000-2009 –> 2010-2019 3.715596 1.7629037 22820.6479 15.308435 4 8
Indo-Pacific (28.1,28.2] 4 cstar_tref ~ sal + temp + phosphate + phosphate_star 2712 1.9567723 11349.4338 11.439677 13.733061 2000-2009 –> 2010-2019 3.764834 1.8080615 22982.1117 21.830103 5 11
Indo-Pacific (28.1,28.2] 4 cstar_tref ~ sal + temp + aou + phosphate_star 2712 1.9568917 11349.7649 10.549936 13.737142 2000-2009 –> 2010-2019 3.765221 1.8083296 22983.2992 20.131671 6 13
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ temp + aou + phosphate_star 2712 2.0293518 11544.9766 8.712325 12.147735 2000-2009 –> 2010-2019 3.877115 1.8477632 23301.1558 16.555145 12 20
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ temp + phosphate + phosphate_star 2712 2.0304925 11548.0246 9.851911 12.123961 2000-2009 –> 2010-2019 3.879132 1.8486396 23306.9437 18.732959 13 22
Indo-Pacific (28.1,28.2] 3 cstar_tref ~ sal + temp + aou 2712 1.9811979 11414.7203 6.395906 11.874888 2000-2009 –> 2010-2019 3.885554 1.9043560 23345.2105 12.435931 9 20
Indo-Pacific (28.2,28.3] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5996 1.0410685 17512.5605 16.856749 20.994837 1982-1999 –> 2000-2009 1.934914 0.8938459 45939.8061 33.727206 2 4
Indo-Pacific (28.2,28.3] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5996 1.0410664 17512.5355 18.781364 20.995276 1982-1999 –> 2000-2009 1.934932 0.8938651 45940.2493 38.044580 1 4
Indo-Pacific (28.2,28.3] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5996 1.0495274 17609.6041 17.563877 21.230502 1982-1999 –> 2000-2009 1.942442 0.8929145 46014.1821 35.526216 3 4
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 5996 1.0504232 17617.8354 6.286602 21.261450 1982-1999 –> 2000-2009 1.947607 0.8971832 46124.1155 12.837220 4 8
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 5996 1.1329594 18524.9095 7.897208 19.557149 1982-1999 –> 2000-2009 2.099191 0.9662317 48643.3670 16.031879 7 12
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 5996 1.1073556 18250.7930 15.144094 18.960814 1982-1999 –> 2000-2009 2.108793 1.0014374 49147.4240 30.361282 5 11
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 5996 1.1216323 18404.4135 15.664855 18.662935 1982-1999 –> 2000-2009 2.141566 1.0199334 49698.9814 31.389342 6 13
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 5996 1.1968679 19182.9698 8.098743 19.744412 1982-1999 –> 2000-2009 2.232174 1.0353063 50802.8287 16.332655 11 19
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 5996 1.1976118 19190.4214 8.263610 19.729928 1982-1999 –> 2000-2009 2.233640 1.0360282 50825.4359 16.532977 12 21
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 5996 1.1940097 19154.2979 16.603185 18.957194 1982-1999 –> 2000-2009 2.288758 1.0947481 51988.0584 33.582054 10 20
Indo-Pacific (28.2,28.3] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5907 1.2174007 19101.3663 18.545802 23.015843 2000-2009 –> 2010-2019 2.258467 1.0410664 36613.9018 37.327167 1 2
Indo-Pacific (28.2,28.3] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5907 1.2174222 19101.5749 16.967135 23.014896 2000-2009 –> 2010-2019 2.258491 1.0410685 36614.1354 33.823884 2 4
Indo-Pacific (28.2,28.3] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5907 1.2238840 19164.1157 17.356044 22.316291 2000-2009 –> 2010-2019 2.273411 1.0495274 36773.7198 34.919921 3 6
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 5907 1.2253539 19176.2958 6.109937 22.624045 2000-2009 –> 2010-2019 2.275777 1.0504232 36794.1311 12.396539 4 8
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 5907 1.2641828 19544.8479 15.070626 22.668512 2000-2009 –> 2010-2019 2.371538 1.1073556 37795.6409 30.214720 6 11
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 5907 1.2748703 19644.3045 15.622767 22.499072 2000-2009 –> 2010-2019 2.396503 1.1216323 38048.7180 31.287623 8 14
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 5907 1.2815781 19706.3016 7.470359 20.375801 2000-2009 –> 2010-2019 2.414537 1.1329594 38231.2111 15.367567 9 16
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ sal + temp + silicate + phosphate 5907 1.2581726 19488.5474 16.928051 19.936185 2000-2009 –> 2010-2019 2.438063 1.1798903 38500.1924 33.693334 5 13
Indo-Pacific (28.2,28.3] 3 cstar_tref ~ sal + silicate + phosphate 5907 1.2679449 19577.9531 11.498613 21.372049 2000-2009 –> 2010-2019 2.448982 1.1810373 38599.2505 22.772342 7 16
Indo-Pacific (28.2,28.3] 4 cstar_tref ~ sal + temp + aou + silicate 5907 1.2835090 19724.0873 14.671371 18.192305 2000-2009 –> 2010-2019 2.521674 1.2381653 39313.8576 29.037841 10 23
Indo-Pacific (28.3, Inf] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2668 0.9706994 7426.7720 13.903395 7.565100 1982-1999 –> 2000-2009 1.835713 0.8650136 19443.7258 27.043003 1 2
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 2668 0.9709231 7426.0012 13.894205 7.673212 1982-1999 –> 2000-2009 1.837663 0.8667398 19459.7393 26.923901 2 4
Indo-Pacific (28.3, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2668 0.9775140 7464.1012 16.800870 6.661996 1982-1999 –> 2000-2009 1.855721 0.8782071 19623.6778 31.236062 3 6
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ sal + aou + nitrate + silicate 2668 0.9775645 7462.3767 16.522603 6.565823 1982-1999 –> 2000-2009 1.855808 0.8782440 19620.3492 30.823014 4 8
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ sal + temp + nitrate + silicate 2668 0.9825698 7489.6285 6.463746 4.821984 1982-1999 –> 2000-2009 1.890329 0.9077594 19959.0444 12.864588 5 11
Indo-Pacific (28.3, Inf] 3 cstar_tref ~ sal + nitrate + silicate 2668 0.9825741 7487.6518 5.456489 4.843354 1982-1999 –> 2000-2009 1.890342 0.9077676 19955.1533 10.725782 6 13
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 2668 1.0184496 7681.0057 19.651049 8.325592 1982-1999 –> 2000-2009 1.926168 0.9077190 20150.0023 38.132579 7 12
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ sal + temp + aou + silicate 2668 1.0333551 7758.5348 7.936435 11.751171 1982-1999 –> 2000-2009 1.949128 0.9157733 20310.7655 15.595379 8 16
Indo-Pacific (28.3, Inf] 3 cstar_tref ~ sal + aou + silicate 2668 1.0359183 7769.7541 4.767953 11.240866 1982-1999 –> 2000-2009 1.952297 0.9163782 20326.2065 9.299786 9 18
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate 2668 1.0371124 7777.9017 9.662213 4.716878 1982-1999 –> 2000-2009 2.012321 0.9752082 20922.6079 19.835079 10 20
Indo-Pacific (28.3, Inf] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2704 1.1370828 8382.3641 19.929780 15.283357 2000-2009 –> 2010-2019 2.107782 0.9706994 15809.1360 33.833175 1 2
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 2704 1.1371475 8380.6717 19.855422 15.201181 2000-2009 –> 2010-2019 2.108071 0.9709231 15806.6729 33.749627 2 4
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ sal + temp + nitrate + silicate 2704 1.1437801 8412.1229 7.677005 12.881635 2000-2009 –> 2010-2019 2.126350 0.9825698 15901.7514 14.140751 3 6
Indo-Pacific (28.3, Inf] 3 cstar_tref ~ sal + nitrate + silicate 2704 1.1438700 8410.5482 5.959346 12.779428 2000-2009 –> 2010-2019 2.126444 0.9825741 15898.2000 11.415835 4 8
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ sal + temp + aou + silicate 2704 1.1907495 8629.7643 9.726953 19.706142 2000-2009 –> 2010-2019 2.224105 1.0333551 16388.2991 17.663388 8 13
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate 2704 1.1885908 8619.9510 10.210018 12.045582 2000-2009 –> 2010-2019 2.225703 1.0371124 16397.8527 19.872230 6 13
Indo-Pacific (28.3, Inf] 3 cstar_tref ~ sal + silicate + phosphate 2704 1.1896062 8622.5691 9.786185 12.392765 2000-2009 –> 2010-2019 2.228715 1.0391089 16408.7330 19.065045 7 15
Indo-Pacific (28.3, Inf] 3 cstar_tref ~ sal + aou + silicate 2704 1.1977580 8659.5010 5.440230 18.744147 2000-2009 –> 2010-2019 2.233676 1.0359183 16429.2551 10.208183 9 15
Indo-Pacific (28.3, Inf] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 2704 1.1842979 8600.3836 6.557108 22.279174 2000-2009 –> 2010-2019 2.254920 1.0706225 16547.9698 12.589155 5 14
Indo-Pacific (28.3, Inf] 3 cstar_tref ~ nitrate + silicate + phosphate_star 2704 1.1978445 8659.8919 4.887846 22.821679 2000-2009 –> 2010-2019 2.284105 1.0862606 16682.8548 9.607669 10 20

5.4.2 per fitting unit

lm_best %>%
  select(-n_predictors) %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab eras rmse_sum_mean ais_sum_mean
Atlantic (-Inf,26] 1982-1999 –> 2000-2009 2.789904 1075.6472
Atlantic (-Inf,26] 2000-2009 –> 2010-2019 2.692776 662.8884
Atlantic (26,26.5] 1982-1999 –> 2000-2009 7.666182 11501.0153
Atlantic (26,26.5] 2000-2009 –> 2010-2019 7.853298 8303.8128
Atlantic (26.5,26.75] 1982-1999 –> 2000-2009 7.648819 15037.6258
Atlantic (26.5,26.75] 2000-2009 –> 2010-2019 8.089392 11171.3568
Atlantic (26.75,27] 1982-1999 –> 2000-2009 6.031357 23745.0494
Atlantic (26.75,27] 2000-2009 –> 2010-2019 6.601951 18202.1096
Atlantic (27,27.25] 1982-1999 –> 2000-2009 5.021030 20673.9649
Atlantic (27,27.25] 2000-2009 –> 2010-2019 5.731322 15743.0092
Atlantic (27.25,27.5] 1982-1999 –> 2000-2009 6.173683 22916.2101
Atlantic (27.25,27.5] 2000-2009 –> 2010-2019 7.013444 17298.5876
Atlantic (27.5,27.75] 1982-1999 –> 2000-2009 4.498079 25823.7829
Atlantic (27.5,27.75] 2000-2009 –> 2010-2019 5.179107 19430.9485
Atlantic (27.75,27.85] 1982-1999 –> 2000-2009 4.795092 9899.4482
Atlantic (27.75,27.85] 2000-2009 –> 2010-2019 5.676262 7571.9423
Atlantic (27.85,27.95] 1982-1999 –> 2000-2009 8.869927 11797.7318
Atlantic (27.85,27.95] 2000-2009 –> 2010-2019 9.282776 8610.2379
Atlantic (27.95,28.05] 1982-1999 –> 2000-2009 11.916304 16369.8559
Atlantic (27.95,28.05] 2000-2009 –> 2010-2019 12.054134 11214.3165
Atlantic (28.05,28.1] 1982-1999 –> 2000-2009 4.157485 6035.0918
Atlantic (28.05,28.1] 2000-2009 –> 2010-2019 4.021617 4394.8711
Atlantic (28.1,28.15] 1982-1999 –> 2000-2009 4.207585 8909.7221
Atlantic (28.1,28.15] 2000-2009 –> 2010-2019 3.945919 6039.8224
Atlantic (28.15,28.2] 1982-1999 –> 2000-2009 2.560427 11415.0739
Atlantic (28.15,28.2] 2000-2009 –> 2010-2019 2.522299 7972.5210
Atlantic (28.2, Inf] 1982-1999 –> 2000-2009 1.817690 16379.0732
Atlantic (28.2, Inf] 2000-2009 –> 2010-2019 2.074336 13158.1491
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2009 12.369578 68116.2264
Indo-Pacific (-Inf,26] 2000-2009 –> 2010-2019 12.289987 49313.4252
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2009 8.600797 67296.9121
Indo-Pacific (26,26.5] 2000-2009 –> 2010-2019 8.661104 47184.0060
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2009 7.950386 54927.5019
Indo-Pacific (26.5,26.75] 2000-2009 –> 2010-2019 8.428418 39694.8017
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2009 8.579143 66947.7386
Indo-Pacific (26.75,27] 2000-2009 –> 2010-2019 8.984069 49776.7805
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2009 7.798733 77081.7623
Indo-Pacific (27,27.25] 2000-2009 –> 2010-2019 9.406650 60171.4882
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2009 6.860802 66935.7097
Indo-Pacific (27.25,27.5] 2000-2009 –> 2010-2019 8.191527 52667.5188
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2009 5.755542 59504.4092
Indo-Pacific (27.5,27.75] 2000-2009 –> 2010-2019 6.924836 47128.7629
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2009 4.296724 19072.5568
Indo-Pacific (27.75,27.85] 2000-2009 –> 2010-2019 5.249699 15289.9662
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2009 3.892383 24026.7256
Indo-Pacific (27.85,27.95] 2000-2009 –> 2010-2019 4.650755 19417.2397
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2009 4.007725 24213.9904
Indo-Pacific (27.95,28.05] 2000-2009 –> 2010-2019 4.578236 17955.1964
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2009 3.814416 15327.6036
Indo-Pacific (28.05,28.1] 2000-2009 –> 2010-2019 4.028561 11367.9038
Indo-Pacific (28.1,28.2] 1982-1999 –> 2000-2009 3.442883 31489.3032
Indo-Pacific (28.1,28.2] 2000-2009 –> 2010-2019 3.716105 22817.8342
Indo-Pacific (28.2,28.3] 1982-1999 –> 2000-2009 2.086402 48512.4449
Indo-Pacific (28.2,28.3] 2000-2009 –> 2010-2019 2.365744 37728.4759
Indo-Pacific (28.3, Inf] 1982-1999 –> 2000-2009 1.900549 19977.1272
Indo-Pacific (28.3, Inf] 2000-2009 –> 2010-2019 2.191987 16227.0725

5.5 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)

5.6 Plot selected model residuals

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

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

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

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

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

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

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

5.7 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)

5.8 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 = ""))

lm_best %>%
  write_csv(paste(path_version_data,
                  "lm_best.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

if (params_local$MLR_criterion != "rank") {
lm_all_fitted_wide %>%
  ggplot(aes(as.factor(n_predictors),
             !!sym(params_local$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")
}

6.1.2 Best models

if (params_local$MLR_criterion != "rank") {
lm_best_target %>%
  ggplot(aes("",
             !!sym(params_local$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")
}

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
d50b039 Donghe-Zhu 2021-05-28
441ebe5 Donghe-Zhu 2021-05-28
6262ad3 Donghe-Zhu 2021-05-28
a61aa77 Donghe-Zhu 2021-05-28
b8dbce4 Donghe-Zhu 2021-05-28
94a833e Donghe-Zhu 2021-05-27
5e0bd64 Donghe-Zhu 2021-05-27
af1eadd Donghe-Zhu 2021-05-27
9179bfe Donghe-Zhu 2021-05-27
28cbe5e Donghe-Zhu 2021-05-27
a618f02 Donghe-Zhu 2021-05-27
4623e38 Donghe-Zhu 2021-05-27
b81bb49 Donghe-Zhu 2021-05-27
951e188 Donghe-Zhu 2021-05-27
e377833 Donghe-Zhu 2021-05-26
2705a04 Donghe-Zhu 2021-03-28
cd5f759 Donghe-Zhu 2021-03-28
75dda4d Donghe-Zhu 2021-03-27
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
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865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
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e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
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541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
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342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
d50b039 Donghe-Zhu 2021-05-28
441ebe5 Donghe-Zhu 2021-05-28
6262ad3 Donghe-Zhu 2021-05-28
a61aa77 Donghe-Zhu 2021-05-28
b8dbce4 Donghe-Zhu 2021-05-28
94a833e Donghe-Zhu 2021-05-27
5e0bd64 Donghe-Zhu 2021-05-27
af1eadd Donghe-Zhu 2021-05-27
9179bfe Donghe-Zhu 2021-05-27
28cbe5e Donghe-Zhu 2021-05-27
a618f02 Donghe-Zhu 2021-05-27
4623e38 Donghe-Zhu 2021-05-27
b81bb49 Donghe-Zhu 2021-05-27
951e188 Donghe-Zhu 2021-05-27
e377833 Donghe-Zhu 2021-05-26
2705a04 Donghe-Zhu 2021-03-28
cd5f759 Donghe-Zhu 2021-03-28
75dda4d Donghe-Zhu 2021-03-27
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
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5d1e70b Donghe-Zhu 2021-03-10
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60689fb Donghe-Zhu 2021-03-10
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17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26] 6 3 3 5 10 5 10
(26,26.5] 5 6 5 7 9 5 10
(26.5,26.75] 6 2 6 6 5 8 5
(26.75,27] 4 3 3 10 6 6 4
(27,27.25] 6 1 5 8 8 5 5
(27.25,27.5] 5 3 4 7 4 7 6
(27.5,27.75] 6 2 5 6 10 7 9
(27.75,27.85] 8 2 4 4 5 6 5
(27.85,27.95] 9 4 4 2 3 3 4
(27.95,28.05] 3 3 5 4 2 3 2
(28.05,28.1] 3 4 4 4 2 0 3
(28.1,28.15] 4 3 3 2 3 3 2
(28.15,28.2] 4 5 4 1 2 4 2
(28.2, Inf] 9 3 5 3 4 2 4
total 78.00 44.00 60.00 69.00 73.00 64.00 71.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26] 6 3 3 5 10 5 10
(26,26.5] 5 6 5 7 9 5 10
(26.5,26.75] 6 3 5 6 5 8 5
(26.75,27] 4 2 4 10 7 6 5
(27,27.25] 3 3 4 9 8 6 5
(27.25,27.5] 5 4 3 7 6 7 4
(27.5,27.75] 6 2 6 5 10 7 8
(27.75,27.85] 8 2 5 4 6 6 4
(27.85,27.95] 8 3 4 3 4 2 4
(27.95,28.05] 1 3 5 3 3 2 4
(28.05,28.1] 3 4 4 4 2 0 3
(28.1,28.15] 4 3 3 2 3 3 2
(28.15,28.2] 4 5 4 0 3 4 2
(28.2, Inf] 10 2 5 3 4 3 3
total 73.00 45.00 60.00 68.00 80.00 64.00 69.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26] 4 4 2 9 10 5 10
(26,26.5] 4 3 4 10 6 8 10
(26.5,26.75] 3 4 3 10 2 6 8
(26.75,27] 3 5 3 10 3 5 7
(27,27.25] 4 5 3 10 3 5 7
(27.25,27.5] 2 4 3 10 5 4 9
(27.5,27.75] 3 3 2 8 10 2 6
(27.75,27.85] 4 0 2 6 7 4 5
(27.85,27.95] 4 0 2 4 8 4 5
(27.95,28.05] 3 1 1 6 5 5 8
(28.05,28.1] 3 1 1 5 4 5 8
(28.1,28.2] 2 2 2 9 6 4 9
(28.2,28.3] 3 3 3 10 7 10 7
(28.3, Inf] 5 6 1 3 10 10 5
total 47.00 41.00 32.00 110.00 86.00 77.00 104.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26] 4 4 2 9 10 5 10
(26,26.5] 3 4 4 10 6 8 10
(26.5,26.75] 3 5 4 10 3 6 7
(26.75,27] 3 5 4 10 3 5 7
(27,27.25] 3 4 4 10 2 6 6
(27.25,27.5] 2 6 4 10 7 3 6
(27.5,27.75] 3 2 3 8 10 2 6
(27.75,27.85] 3 2 2 4 10 3 4
(27.85,27.95] 3 1 3 3 10 3 4
(27.95,28.05] 2 2 2 5 6 4 8
(28.05,28.1] 3 2 1 5 4 4 9
(28.1,28.2] 3 2 2 8 6 3 10
(28.2,28.3] 3 2 4 7 9 10 7
(28.3, Inf] 2 6 2 4 8 10 5
total 40.00 47.00 41.00 103.00 94.00 72.00 99.00

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
d50b039 Donghe-Zhu 2021-05-28
441ebe5 Donghe-Zhu 2021-05-28
6262ad3 Donghe-Zhu 2021-05-28
a61aa77 Donghe-Zhu 2021-05-28
b8dbce4 Donghe-Zhu 2021-05-28
94a833e Donghe-Zhu 2021-05-27
5e0bd64 Donghe-Zhu 2021-05-27
af1eadd Donghe-Zhu 2021-05-27
9179bfe Donghe-Zhu 2021-05-27
28cbe5e Donghe-Zhu 2021-05-27
a618f02 Donghe-Zhu 2021-05-27
4623e38 Donghe-Zhu 2021-05-27
b81bb49 Donghe-Zhu 2021-05-27
951e188 Donghe-Zhu 2021-05-27
e377833 Donghe-Zhu 2021-05-26
2705a04 Donghe-Zhu 2021-03-28
cd5f759 Donghe-Zhu 2021-03-28
75dda4d Donghe-Zhu 2021-03-27
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
d50b039 Donghe-Zhu 2021-05-28
441ebe5 Donghe-Zhu 2021-05-28
6262ad3 Donghe-Zhu 2021-05-28
a61aa77 Donghe-Zhu 2021-05-28
b8dbce4 Donghe-Zhu 2021-05-28
94a833e Donghe-Zhu 2021-05-27
5e0bd64 Donghe-Zhu 2021-05-27
af1eadd Donghe-Zhu 2021-05-27
9179bfe Donghe-Zhu 2021-05-27
28cbe5e Donghe-Zhu 2021-05-27
a618f02 Donghe-Zhu 2021-05-27
4623e38 Donghe-Zhu 2021-05-27
b81bb49 Donghe-Zhu 2021-05-27
951e188 Donghe-Zhu 2021-05-27
e377833 Donghe-Zhu 2021-05-26
2705a04 Donghe-Zhu 2021-03-28
cd5f759 Donghe-Zhu 2021-03-28
75dda4d Donghe-Zhu 2021-03-27
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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

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

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

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

other attached packages:
 [1] car_3.0-10       carData_3.0-4    gt_0.2.2         corrr_0.4.3     
 [5] broom_0.7.5      kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3     
 [9] GGally_2.0.0     lubridate_1.7.9  metR_0.9.0       scico_1.2.0     
[13] patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0    stringr_1.4.0   
[17] dplyr_1.0.5      purrr_0.3.4      readr_1.4.0      tidyr_1.1.2     
[21] tibble_3.0.4     ggplot2_3.3.3    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                magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_1.0.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               plyr_1.8.6              
[52] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[55] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[58] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[61] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[64] RcppArmadillo_0.10.1.2.2 data.table_1.13.6        modelr_0.1.8            
[67] vctrs_0.3.6              httpuv_1.5.4             cellranger_1.1.0        
[70] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[73] xfun_0.20                openxlsx_4.2.3           RcppEigen_0.3.3.9.1     
[76] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[79] here_1.0.1