eMLR - model fitting

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Last updated: 2021-03-09

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Knit directory: emlr_mod_v_XXX/

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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()


# 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)

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

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

# 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: 8

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:

• 52

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

# remove models with predictors fitted as NA
lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(na_predictor == FALSE)

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

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

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

5.3 RMSE tables

5.3.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

basin	gamma_slab	model	nr_obs	rmse	aic	resid_max	eras	rmse_sum	aic_sum
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + phosphate_star	158	1.6001372	608.93283	6.6397414	1982-1999 –> 2000-2012	3.2898388	1429.42487
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + silicate	158	1.8141356	648.59706	8.9571830	1982-1999 –> 2000-2012	3.6424610	1501.89007
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	158	1.5921923	609.35993	6.1184078	1982-1999 –> 2000-2012	3.2779521	1430.88036
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	158	1.0492038	475.56256	4.3578441	1982-1999 –> 2000-2012	2.3855522	1198.45637
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + phosphate_star	158	1.7232695	630.35916	5.4888248	1982-1999 –> 2000-2012	3.6032841	1493.24987
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate	158	1.8736520	658.79764	7.0563591	1982-1999 –> 2000-2012	3.8792015	1550.57801
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	158	1.0480832	477.22487	4.2990206	1982-1999 –> 2000-2012	2.3837757	1201.91446
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate_star	158	1.5933338	607.58640	5.8962936	1982-1999 –> 2000-2012	3.3151005	1435.89880
Atlantic	(-Inf,26]	cstar_tref ~ sal + nitrate + silicate	158	1.8148164	646.71562	8.8716337	1982-1999 –> 2000-2012	3.6615821	1502.18336
Atlantic	(-Inf,26]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	158	1.6581469	620.18598	7.6434958	1982-1999 –> 2000-2012	3.3615952	1444.04873
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + phosphate_star	72	1.7037742	293.05696	4.3374446	2000-2012 –> 2013-2019	3.3039114	901.98978
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + silicate	72	1.8267354	303.09153	5.4016292	2000-2012 –> 2013-2019	3.6408710	951.68859
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	72	1.6825475	293.25165	3.6000125	2000-2012 –> 2013-2019	3.2747398	902.61158
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	72	1.2725075	251.02962	3.6583670	2000-2012 –> 2013-2019	2.3217113	726.59218
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + phosphate_star	72	1.7335391	293.55092	3.8969537	2000-2012 –> 2013-2019	3.4568086	923.91008
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate	72	1.8344756	303.70040	4.7325608	2000-2012 –> 2013-2019	3.7081276	962.49804
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	72	1.1936365	243.81580	3.2379740	2000-2012 –> 2013-2019	2.2417197	721.04067
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate_star	72	1.6918467	292.04533	4.1335038	2000-2012 –> 2013-2019	3.2851805	899.63172
Atlantic	(-Inf,26]	cstar_tref ~ sal + nitrate + silicate	72	1.8325789	301.55143	5.6312801	2000-2012 –> 2013-2019	3.6473953	948.26705
Atlantic	(-Inf,26]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	72	1.7638716	298.04876	5.0521840	2000-2012 –> 2013-2019	3.4220185	918.23474
Atlantic	(26,26.5]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1040	4.6869282	6176.52912	16.2890276	1982-1999 –> 2000-2012	9.4870654	15222.98022
Atlantic	(26,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1040	4.5689039	6123.48069	12.7880412	1982-1999 –> 2000-2012	9.0037436	14930.57298
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + nitrate	1040	4.9093700	6270.97505	13.8931054	1982-1999 –> 2000-2012	9.7868825	15363.78248
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1040	4.9092125	6272.90833	13.8503088	1982-1999 –> 2000-2012	9.7793008	15363.10932
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate	1040	4.8250671	6236.94739	13.5609282	1982-1999 –> 2000-2012	9.6220789	15281.42895
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1040	4.6190236	6148.17350	17.4115399	1982-1999 –> 2000-2012	9.3260444	15137.38651
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1040	3.5443539	5597.33241	13.4662233	1982-1999 –> 2000-2012	6.9995324	13651.58188
Atlantic	(26,26.5]	cstar_tref ~ temp + aou + nitrate	1040	4.4721950	6076.98119	12.2041717	1982-1999 –> 2000-2012	8.9609467	14918.61300
Atlantic	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate	1040	4.0312783	5863.08585	14.5182831	1982-1999 –> 2000-2012	8.0820619	14396.26092
Atlantic	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	1040	4.5255743	6103.66067	12.5081699	1982-1999 –> 2000-2012	8.9223849	14884.71013
Atlantic	(26,26.5]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	562	4.5179242	3301.93808	16.7520265	2000-2012 –> 2013-2019	9.2048524	9478.46720
Atlantic	(26,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	562	4.5226884	3303.12273	12.2393213	2000-2012 –> 2013-2019	9.0915923	9426.60342
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + nitrate	562	4.7816469	3363.70529	14.4187465	2000-2012 –> 2013-2019	9.6910169	9634.68033
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + nitrate + phosphate_star	562	4.7809874	3365.55026	14.3485232	2000-2012 –> 2013-2019	9.6902000	9638.45859
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate	562	4.7002169	3346.39903	15.8886560	2000-2012 –> 2013-2019	9.5252839	9583.34642
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	562	4.4222513	3279.88029	17.5506469	2000-2012 –> 2013-2019	9.0412749	9428.05378
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	562	3.6054876	3050.36861	11.1243922	2000-2012 –> 2013-2019	7.1498416	8647.70102
Atlantic	(26,26.5]	cstar_tref ~ temp + aou + nitrate	562	4.2960141	3243.32782	12.4230309	2000-2012 –> 2013-2019	8.7682091	9320.30901
Atlantic	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate	562	3.8522413	3122.77527	13.6121936	2000-2012 –> 2013-2019	7.8835195	8985.86113
Atlantic	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	562	4.4803617	3292.55396	11.9835897	2000-2012 –> 2013-2019	9.0059360	9396.21463
Atlantic	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1360	3.3727467	7178.29148	10.7243667	1982-1999 –> 2000-2012	6.4872186	16577.35466
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1360	3.8311940	7524.95289	21.0450545	1982-1999 –> 2000-2012	7.3809364	17404.63192
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1360	3.4609857	7250.53813	9.7064368	1982-1999 –> 2000-2012	6.7283877	16827.71654
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1360	4.4293803	7919.57917	12.2657940	1982-1999 –> 2000-2012	8.2081495	18028.96888
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate	1360	3.3303244	7143.86246	10.1582800	1982-1999 –> 2000-2012	6.4360999	16532.65245
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1360	3.2843587	7108.05902	10.5247223	1982-1999 –> 2000-2012	6.3355501	16433.70428
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate_star	1360	3.4899086	7271.17432	9.9373860	1982-1999 –> 2000-2012	6.7636913	16853.52045
Atlantic	(26.5,26.75]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1360	3.7385763	7458.39005	15.8338704	1982-1999 –> 2000-2012	7.3396680	17390.83517
Atlantic	(26.5,26.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1360	3.5508836	7318.28721	10.2012603	1982-1999 –> 2000-2012	6.8968165	16980.72458
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	1360	3.4337671	7227.06237	10.8089588	1982-1999 –> 2000-2012	6.6131766	16701.94184
Atlantic	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	646	3.4450544	3443.39469	11.3466443	2000-2012 –> 2013-2019	6.8178011	10621.68616
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + phosphate_star	646	3.8043768	3571.57724	10.8527972	2000-2012 –> 2013-2019	7.6355708	11096.53012
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	646	3.4853031	3460.40165	9.9449249	2000-2012 –> 2013-2019	6.9462887	10710.93978
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate	646	3.3611477	3411.53756	10.4660887	2000-2012 –> 2013-2019	6.6914721	10555.40002
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	646	3.3363780	3403.98101	10.7144118	2000-2012 –> 2013-2019	6.6207366	10512.04004
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate_star	646	3.4893493	3459.90070	10.2599092	2000-2012 –> 2013-2019	6.9792579	10731.07502
Atlantic	(26.5,26.75]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	646	3.5588965	3485.39868	11.3733077	2000-2012 –> 2013-2019	7.2974728	10943.78873
Atlantic	(26.5,26.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	646	3.5369670	3477.41287	10.1498610	2000-2012 –> 2013-2019	7.0878505	10795.70007
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate	646	4.1894141	3696.13726	17.0765833	2000-2012 –> 2013-2019	9.0967166	11894.42046
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	646	3.5051227	3465.72796	11.3834465	2000-2012 –> 2013-2019	6.9388898	10692.79033
Atlantic	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2134	2.1608919	9356.61342	15.2322922	1982-1999 –> 2000-2012	3.8655083	20016.34118
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + nitrate + phosphate_star	2134	3.3698090	11253.03541	30.0138615	1982-1999 –> 2000-2012	6.0208769	24321.37178
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2134	2.3649570	9743.75258	33.1153986	1982-1999 –> 2000-2012	4.4849721	21594.90562
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2134	3.6475202	11591.02452	31.0852153	1982-1999 –> 2000-2012	6.3942511	24852.69944
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	2134	2.1205644	9276.20966	17.9450752	1982-1999 –> 2000-2012	3.9632502	20360.71696
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2134	2.0150942	9060.47181	14.1929877	1982-1999 –> 2000-2012	3.6685116	19555.87536
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate_star	2134	2.3711515	9752.91721	33.4860817	1982-1999 –> 2000-2012	4.4918028	21603.70646
Atlantic	(26.75,27]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2134	2.6464882	10221.79043	36.4828844	1982-1999 –> 2000-2012	5.0919983	22849.94116
Atlantic	(26.75,27]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2134	2.4667261	9921.57193	38.0423138	1982-1999 –> 2000-2012	4.6839709	22015.29373
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	2134	2.2671761	9561.53719	15.8556951	1982-1999 –> 2000-2012	4.1008291	20619.24361
Atlantic	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1121	2.7579341	5467.72856	27.8630855	2000-2012 –> 2013-2019	4.9188259	14824.34198
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1121	3.8904541	6239.07523	19.2915802	2000-2012 –> 2013-2019	7.2602632	17492.11064
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1121	2.6413897	5372.92638	21.1206682	2000-2012 –> 2013-2019	5.0063466	15116.67896
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	1121	2.6063943	5341.02392	24.8434412	2000-2012 –> 2013-2019	4.7269587	14617.23359
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1121	2.5950428	5333.23818	25.4741707	2000-2012 –> 2013-2019	4.6101370	14393.70999
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate_star	1121	2.6767952	5400.77882	23.7846217	2000-2012 –> 2013-2019	5.0479467	15153.69603
Atlantic	(26.75,27]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1121	2.9152592	5592.10770	27.5559415	2000-2012 –> 2013-2019	5.5617474	15813.89814
Atlantic	(26.75,27]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1121	2.7089927	5427.58556	23.3852929	2000-2012 –> 2013-2019	5.1757189	15349.15749
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate	1121	3.8883241	6237.84741	29.2686680	2000-2012 –> 2013-2019	7.8843559	18218.34522
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	1121	2.8940737	5575.75531	28.7282601	2000-2012 –> 2013-2019	5.1612497	15137.29249
Atlantic	(27,27.25]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1717	2.4279352	7930.73441	12.1305144	1982-1999 –> 2000-2012	4.5104441	17598.90262
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1717	2.3014943	7747.07525	12.4288791	1982-1999 –> 2000-2012	4.5841902	17826.98562
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1717	2.1245891	7474.42319	10.8920661	1982-1999 –> 2000-2012	4.3279600	17397.66951
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + phosphate	1717	2.4270460	7927.47648	11.4318224	1982-1999 –> 2000-2012	4.2919182	17098.47642
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1717	2.3872244	7872.66597	12.3327089	1982-1999 –> 2000-2012	4.2396475	17015.61877
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	1717	2.0250912	7307.71592	9.3807341	1982-1999 –> 2000-2012	3.7447144	16116.95820
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1717	2.0072484	7279.32531	9.7017253	1982-1999 –> 2000-2012	3.6183821	15798.22804
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate_star	1717	2.2187688	7621.36969	9.6218681	1982-1999 –> 2000-2012	4.4889546	17676.62742
Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate	1717	2.1782321	7558.05062	13.4210426	1982-1999 –> 2000-2012	4.2804948	17268.57061
Atlantic	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate	1717	2.5461944	8094.05087	12.3913061	1982-1999 –> 2000-2012	4.6036510	17707.92601
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + phosphate_star	982	2.5899103	4667.78336	11.3302500	2000-2012 –> 2013-2019	4.8914047	12414.85861
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate	982	2.4866455	4587.87086	19.7414682	2000-2012 –> 2013-2019	4.9244800	12532.57801
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	982	2.3112528	4446.21426	10.6624255	2000-2012 –> 2013-2019	4.4358419	11920.63745
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + phosphate + phosphate_star	982	2.8367646	4846.58772	13.6823668	2000-2012 –> 2013-2019	5.2239890	12719.25369
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	982	2.4264509	4539.74312	13.9625358	2000-2012 –> 2013-2019	4.4515421	11847.45904
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	982	2.4198641	4536.40445	14.2305742	2000-2012 –> 2013-2019	4.4271125	11815.72975
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate_star	982	2.4537027	4561.67810	14.9835525	2000-2012 –> 2013-2019	4.6724715	12183.04779
Atlantic	(27,27.25]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	982	2.5286811	4620.79388	15.7339638	2000-2012 –> 2013-2019	4.8344690	12374.26947
Atlantic	(27,27.25]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	982	2.4701167	4574.77255	15.1052250	2000-2012 –> 2013-2019	4.7371689	12270.06903
Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate	982	2.6370874	4703.23709	19.6051150	2000-2012 –> 2013-2019	4.8153196	12261.28772
Atlantic	(27.25,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1621	2.6653784	7790.48054	19.0669365	1982-1999 –> 2000-2012	5.1117038	18208.71873
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate	1621	2.2794403	7281.37955	13.3255180	1982-1999 –> 2000-2012	4.6904774	17632.26138
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1621	2.2783378	7281.81107	12.9691453	1982-1999 –> 2000-2012	4.6881725	17632.44915
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate	1621	2.2388191	7225.08396	12.0830959	1982-1999 –> 2000-2012	4.5226843	17334.22929
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1621	2.2249112	7206.88125	13.1379972	1982-1999 –> 2000-2012	4.4362899	17172.95232
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1621	2.8128853	7965.11000	20.4458923	1982-1999 –> 2000-2012	5.1118884	18103.97065
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	1621	2.8245995	7978.58314	20.8516648	1982-1999 –> 2000-2012	5.3492244	18538.53275
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1621	2.8109649	7964.89591	20.2408438	1982-1999 –> 2000-2012	5.1068355	18099.62362
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate	1621	2.4518761	7517.79767	15.0667238	1982-1999 –> 2000-2012	4.2959606	16662.88251
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	1621	2.4361730	7498.96742	14.2153496	1982-1999 –> 2000-2012	4.1836374	16403.98301
Atlantic	(27.25,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	904	3.0087623	4569.00496	21.7771272	2000-2012 –> 2013-2019	5.6741407	12359.48550
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate	904	2.5315398	4254.76141	17.3212618	2000-2012 –> 2013-2019	4.8109801	11536.14096
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + phosphate_star	904	2.5244498	4251.69069	18.1263712	2000-2012 –> 2013-2019	4.8027876	11533.50176
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate	904	2.5311276	4256.46697	17.4690433	2000-2012 –> 2013-2019	4.7699467	11481.55093
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	904	2.5215176	4251.58946	18.0824185	2000-2012 –> 2013-2019	4.7464288	11458.47071
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	904	3.6637613	4925.11133	23.1796634	2000-2012 –> 2013-2019	6.4766466	12890.22133
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	904	3.6374343	4912.07255	22.7247860	2000-2012 –> 2013-2019	6.4620338	12890.65569
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	904	3.6351396	4912.93157	22.4385896	2000-2012 –> 2013-2019	6.4461045	12877.82747
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate	904	3.0663902	4601.30672	13.5155899	2000-2012 –> 2013-2019	5.5182662	12119.10438
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	904	3.0658229	4602.97223	13.3327837	2000-2012 –> 2013-2019	5.5019959	12101.93966
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate	2079	2.6053240	9891.46862	16.4290502	1982-1999 –> 2000-2012	5.2359965	23221.11451
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + phosphate_star	2079	2.5549227	9812.24176	15.0971834	1982-1999 –> 2000-2012	5.1855234	23143.73526
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate	2079	2.5935623	9874.65491	16.1196094	1982-1999 –> 2000-2012	5.1154176	22970.49110
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2079	2.5437146	9795.96112	14.8081133	1982-1999 –> 2000-2012	5.0655363	22893.72285
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + phosphate	2079	2.4557608	9645.64589	17.2009018	1982-1999 –> 2000-2012	4.8210934	22381.80850
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2079	2.4488381	9635.90803	16.8614853	1982-1999 –> 2000-2012	4.7627250	22251.32328
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	2079	2.4557583	9647.64160	17.2170993	1982-1999 –> 2000-2012	4.7833793	22296.09080
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2079	2.4487769	9637.80414	16.7778467	1982-1999 –> 2000-2012	4.7338073	22185.16839
Atlantic	(27.5,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2079	2.7438155	10108.82144	13.5357522	1982-1999 –> 2000-2012	5.5379014	23776.86931
Atlantic	(27.5,27.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2079	2.7403819	10103.61496	13.6262913	1982-1999 –> 2000-2012	5.5345587	23771.84445
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1115	2.8838250	5538.06506	17.2399006	2000-2012 –> 2013-2019	5.4387477	15350.30682
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate	1115	3.1398176	5727.72023	17.9379000	2000-2012 –> 2013-2019	5.7333799	15602.37514
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1115	2.8834250	5539.75573	17.3414728	2000-2012 –> 2013-2019	5.4271397	15335.71685
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + phosphate	1115	2.8730540	5527.72043	19.2847791	2000-2012 –> 2013-2019	5.3288148	15173.36632
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1115	2.7822286	5458.08550	18.3159335	2000-2012 –> 2013-2019	5.2310667	15093.99352
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	1115	2.8564479	5516.79377	20.6399300	2000-2012 –> 2013-2019	5.3122062	15164.43537
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1115	2.7700300	5450.28663	19.4859769	2000-2012 –> 2013-2019	5.2188069	15088.09077
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate_star	1115	2.9586998	5595.22522	17.4991746	2000-2012 –> 2013-2019	5.7165765	15725.30079
Atlantic	(27.5,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1115	2.9432352	5583.53888	17.4024408	2000-2012 –> 2013-2019	5.6870507	15692.36032
Atlantic	(27.5,27.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1115	2.9330221	5575.78726	17.4417334	2000-2012 –> 2013-2019	5.6734040	15679.40222
Atlantic	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	722	1.9028200	2989.92589	20.7401566	1982-1999 –> 2000-2012	3.6798059	6822.15612
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate	722	1.7460691	2863.78527	11.8036580	1982-1999 –> 2000-2012	3.6413019	6817.45014
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + phosphate_star	722	1.6905278	2819.10618	12.5552253	1982-1999 –> 2000-2012	3.5387296	6726.62484
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate	722	1.7417024	2862.16946	12.0409779	1982-1999 –> 2000-2012	3.6349084	6815.78420
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	722	1.6904824	2821.06737	12.5742519	1982-1999 –> 2000-2012	3.5382366	6730.12190
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + phosphate	722	1.7268564	2847.80829	12.1600608	1982-1999 –> 2000-2012	3.5484076	6725.49760
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + phosphate + phosphate_star	722	1.6354065	2771.23838	13.3517370	1982-1999 –> 2000-2012	3.3492292	6534.12439
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate	722	1.7261005	2849.17604	11.8561714	1982-1999 –> 2000-2012	3.5424094	6723.34322
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	722	1.6267617	2765.58515	14.5734851	1982-1999 –> 2000-2012	3.2965550	6480.60424
Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate	722	1.8851495	2976.45350	18.1806808	1982-1999 –> 2000-2012	3.7241399	6874.39898
Atlantic	(27.75,27.85]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	364	2.1219440	1592.68541	13.0782852	2000-2012 –> 2013-2019	3.9788040	4547.30531
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate	364	1.8197291	1478.83186	10.9791463	2000-2012 –> 2013-2019	3.5657983	4342.61713
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + phosphate_star	364	1.8007426	1473.19624	11.3084900	2000-2012 –> 2013-2019	3.4912705	4292.30242
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate	364	1.8196215	1480.78881	11.0138981	2000-2012 –> 2013-2019	3.5613239	4342.95827
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	364	1.8006139	1475.14417	11.2744869	2000-2012 –> 2013-2019	3.4910963	4296.21154
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + phosphate	364	1.7937264	1468.35419	11.8558120	2000-2012 –> 2013-2019	3.5205828	4316.16248
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + phosphate + phosphate_star	364	1.7438081	1449.80713	12.2711012	2000-2012 –> 2013-2019	3.3792145	4221.04551
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate	364	1.7912750	1469.35860	12.3669487	2000-2012 –> 2013-2019	3.5173755	4318.53464
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	364	1.7268302	1444.68454	13.7518672	2000-2012 –> 2013-2019	3.3535919	4210.26968
Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate	364	2.1511046	1602.62178	17.8805953	2000-2012 –> 2013-2019	4.0362541	4579.07528
Atlantic	(27.85,27.95]	cstar_tref ~ aou + nitrate + phosphate_star	694	2.9935540	3501.37498	22.3496197	1982-1999 –> 2000-2012	6.2046914	8485.99961
Atlantic	(27.85,27.95]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	694	2.9795743	3496.87792	22.1225424	1982-1999 –> 2000-2012	6.1750599	8474.10163
Atlantic	(27.85,27.95]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	694	2.8412740	3430.90924	20.0203261	1982-1999 –> 2000-2012	5.7998788	8259.94399
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + phosphate_star	694	2.9924869	3502.88014	22.3256210	1982-1999 –> 2000-2012	6.1961214	8485.00401
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	694	2.9679425	3493.44877	21.9090923	1982-1999 –> 2000-2012	6.1618099	8471.69794
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + phosphate + phosphate_star	694	3.4190704	3687.85043	29.0192574	1982-1999 –> 2000-2012	6.5153291	8604.38245
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	694	2.7709000	3398.09768	20.1418519	1982-1999 –> 2000-2012	5.7244719	8225.85675
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate	694	3.4085228	3681.56193	36.2680855	1982-1999 –> 2000-2012	6.5395929	8617.60487
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate	694	2.9129781	3465.50294	21.0165066	1982-1999 –> 2000-2012	5.9626466	8352.86394
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	694	2.9499423	3483.00512	20.0719954	1982-1999 –> 2000-2012	5.9039978	8309.07917
Atlantic	(27.85,27.95]	cstar_tref ~ aou + nitrate + phosphate_star	415	3.4063733	2205.00697	20.7555685	2000-2012 –> 2013-2019	6.3999273	5706.38195
Atlantic	(27.85,27.95]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	415	3.3586147	2195.28771	20.1271852	2000-2012 –> 2013-2019	6.3381889	5692.16563
Atlantic	(27.85,27.95]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	415	3.0542817	2116.45087	18.0269148	2000-2012 –> 2013-2019	5.8955557	5547.36011
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + phosphate_star	415	3.3179748	2185.18329	19.9709457	2000-2012 –> 2013-2019	6.3104617	5688.06343
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	415	3.3004828	2182.79605	19.6906022	2000-2012 –> 2013-2019	6.2684253	5676.24483
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + phosphate + phosphate_star	415	3.2018995	2155.62669	18.9845575	2000-2012 –> 2013-2019	6.6209699	5843.47712
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	415	3.0317519	2112.30570	17.9822303	2000-2012 –> 2013-2019	5.8026519	5510.40338
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate	415	3.3853170	2199.86046	20.3377825	2000-2012 –> 2013-2019	6.7938398	5881.42238
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate	415	3.1804173	2150.03928	19.0957860	2000-2012 –> 2013-2019	6.0933954	5615.54221
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	415	3.0888952	2125.80418	18.1159102	2000-2012 –> 2013-2019	6.0388375	5608.80930
Atlantic	(27.95,28.05]	cstar_tref ~ aou + phosphate + phosphate_star	723	3.6758784	3944.17655	18.7530519	1982-1999 –> 2000-2012	8.0669842	9710.63649
Atlantic	(27.95,28.05]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	723	3.1997893	3745.60600	26.5244598	1982-1999 –> 2000-2012	6.9868403	9220.15093
Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + phosphate + phosphate_star	723	3.4011542	3833.85520	16.6710156	1982-1999 –> 2000-2012	7.5530785	9491.08091
Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate	723	5.0836526	4415.02453	25.9229401	1982-1999 –> 2000-2012	10.2474228	10505.38707
Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	723	3.1570916	3728.18079	24.1493333	1982-1999 –> 2000-2012	6.9191790	9191.59102
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate	723	4.6506187	4284.28751	21.8149380	1982-1999 –> 2000-2012	10.2940942	10549.07262
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate	723	3.5890959	3911.62899	28.2290831	1982-1999 –> 2000-2012	7.8982599	9642.67834
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + phosphate	723	3.5735383	3903.34742	18.0853925	1982-1999 –> 2000-2012	7.8938982	9637.55000
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + silicate	723	4.8727231	4351.74728	31.6145945	1982-1999 –> 2000-2012	10.0750761	10454.89369
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate	723	3.1397640	3718.22263	23.9694138	1982-1999 –> 2000-2012	6.9000491	9178.68114
Atlantic	(27.95,28.05]	cstar_tref ~ aou + phosphate + phosphate_star	386	3.1834450	1999.36872	19.0704180	2000-2012 –> 2013-2019	6.8593235	5943.54527
Atlantic	(27.95,28.05]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	386	2.9339251	1938.35592	14.7823695	2000-2012 –> 2013-2019	6.1337145	5683.96192
Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + phosphate	386	4.4296750	2254.40839	26.2065231	2000-2012 –> 2013-2019	9.5142094	6667.68372
Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + phosphate + phosphate_star	386	2.9850254	1951.68613	16.7791756	2000-2012 –> 2013-2019	6.3861797	5785.54133
Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate	386	4.4145708	2253.77154	26.8132293	2000-2012 –> 2013-2019	9.4982234	6668.79607
Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	386	2.8642896	1921.81187	14.3784472	2000-2012 –> 2013-2019	6.0213812	5649.99266
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate	386	4.1850902	2210.56037	20.8500168	2000-2012 –> 2013-2019	8.8357090	6494.84788
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate	386	3.4546554	2064.48649	15.0975085	2000-2012 –> 2013-2019	7.0437513	5976.11548
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + phosphate	386	3.1021371	1979.39500	18.3256072	2000-2012 –> 2013-2019	6.6756754	5882.74241
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate	386	2.8695512	1921.22871	14.1779196	2000-2012 –> 2013-2019	6.0093153	5639.45133
Atlantic	(28.05,28.1]	cstar_tref ~ aou + phosphate + phosphate_star	436	0.2191456	-76.39829	1.4099026	1982-1999 –> 2000-2012	0.3741459	-598.19342
Atlantic	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	436	0.2179047	-79.34966	1.3640876	1982-1999 –> 2000-2012	0.3337049	-947.26878
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	436	0.4850735	620.46183	3.4247572	1982-1999 –> 2000-2012	0.7520049	751.68276
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	436	0.2120366	-103.15459	1.5200598	1982-1999 –> 2000-2012	0.3646126	-641.77233
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	436	0.5052320	653.96724	4.9256208	1982-1999 –> 2000-2012	0.7848068	838.44415
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	436	0.2109412	-105.67082	1.4763185	1982-1999 –> 2000-2012	0.3259563	-979.71285
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate	436	0.4663742	582.18165	4.1861624	1982-1999 –> 2000-2012	0.7129458	614.67143
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate + silicate	436	0.3551500	346.60678	1.9844565	1982-1999 –> 2000-2012	0.5794861	268.25543
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + phosphate	436	0.2192745	-75.88533	1.4281681	1982-1999 –> 2000-2012	0.3709493	-623.57673
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate	436	0.2187243	-76.07612	1.3972803	1982-1999 –> 2000-2012	0.3351243	-937.82645
Atlantic	(28.05,28.1]	cstar_tref ~ aou + phosphate + phosphate_star	229	0.2626910	47.63014	1.0475528	2000-2012 –> 2013-2019	0.4818366	-28.76816
Atlantic	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	229	0.2597558	44.48369	1.3697885	2000-2012 –> 2013-2019	0.4776605	-34.86597
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	229	0.5416560	383.06301	4.1114965	2000-2012 –> 2013-2019	1.0267296	1003.52483
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	229	0.2500674	27.07457	0.9325065	2000-2012 –> 2013-2019	0.4621040	-76.08002
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	229	0.5709262	405.16697	5.8059956	2000-2012 –> 2013-2019	1.0761582	1059.13422
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	229	0.2472173	23.82455	1.0717180	2000-2012 –> 2013-2019	0.4581585	-81.84627
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate	229	0.4973024	339.93475	4.5201010	2000-2012 –> 2013-2019	0.9636766	922.11640
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate + silicate	229	0.3951848	236.66580	1.7489639	2000-2012 –> 2013-2019	0.7503347	583.27258
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + phosphate	229	0.2609997	44.67183	1.0659937	2000-2012 –> 2013-2019	0.4802743	-31.21350
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate	229	0.2592476	43.58687	1.3172992	2000-2012 –> 2013-2019	0.4779719	-32.48925
Atlantic	(28.1,28.15]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	541	0.1871214	-266.13820	1.4442689	1982-1999 –> 2000-2012	0.3551838	-818.35538
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate	541	0.3294029	343.75895	3.4156227	1982-1999 –> 2000-2012	0.5431695	161.91219
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + phosphate_star	541	0.3293424	345.56012	3.4140252	1982-1999 –> 2000-2012	0.5421464	158.72703
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + silicate	541	0.3293066	345.44271	3.4084219	1982-1999 –> 2000-2012	0.5409055	149.81854
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	541	0.3270914	340.13945	3.2923960	1982-1999 –> 2000-2012	0.5376985	139.24276
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + phosphate + phosphate_star	541	0.1480631	-519.45509	1.2063423	1982-1999 –> 2000-2012	0.3108018	-1121.50164
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	541	0.1394443	-582.34561	1.0824605	1982-1999 –> 2000-2012	0.2743304	-1472.97554
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + nitrate + silicate	541	0.2663889	116.02411	2.0455656	1982-1999 –> 2000-2012	0.5005712	77.37809
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + phosphate	541	0.2668693	115.97371	1.1004767	1982-1999 –> 2000-2012	0.5284644	246.68828
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate	541	0.1799363	-308.50332	1.4005679	1982-1999 –> 2000-2012	0.3419289	-917.66366
Atlantic	(28.1,28.15]	cstar_tref ~ aou + phosphate + phosphate_star	288	0.2770445	87.96821	0.9390132	2000-2012 –> 2013-2019	0.5663588	291.31830
Atlantic	(28.1,28.15]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	288	0.1877975	-133.98860	1.1033424	2000-2012 –> 2013-2019	0.3749189	-400.12680
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + phosphate_star	288	0.3918646	289.68944	3.8876116	2000-2012 –> 2013-2019	0.7212070	635.24957
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + silicate	288	0.3925262	290.66101	3.9120556	2000-2012 –> 2013-2019	0.7218328	636.10372
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	288	0.3903057	289.39335	3.7162271	2000-2012 –> 2013-2019	0.7173970	629.53280
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + phosphate + phosphate_star	288	0.1409161	-299.41571	0.6463000	2000-2012 –> 2013-2019	0.2889791	-818.87080
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	288	0.1282569	-351.63397	0.4661753	2000-2012 –> 2013-2019	0.2677013	-933.97959
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + nitrate + silicate	288	0.3063484	147.88209	1.5849372	2000-2012 –> 2013-2019	0.5727374	263.90620
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + phosphate	288	0.2564915	43.56863	0.8767108	2000-2012 –> 2013-2019	0.5233609	159.54234
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate	288	0.1794062	-160.31861	1.0246074	2000-2012 –> 2013-2019	0.3593425	-468.82194
Atlantic	(28.15,28.2]	cstar_tref ~ aou + nitrate + phosphate_star	1155	0.2237365	-170.98316	0.9810094	1982-1999 –> 2000-2012	0.5775670	1156.10066
Atlantic	(28.15,28.2]	cstar_tref ~ aou + nitrate + silicate	1155	0.2604276	179.80422	1.1111229	1982-1999 –> 2000-2012	0.6349369	1703.75266
Atlantic	(28.15,28.2]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1155	0.2115108	-298.78900	0.9914532	1982-1999 –> 2000-2012	0.5602435	979.99578
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate	1155	0.1574471	-982.66984	0.9830553	1982-1999 –> 2000-2012	0.3636269	-1527.46540
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1155	0.1550542	-1016.04771	0.9483180	1982-1999 –> 2000-2012	0.3595782	-1586.79067
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate	1155	0.1567453	-990.98923	0.9661276	1982-1999 –> 2000-2012	0.3491822	-1772.87154
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1155	0.1338912	-1353.03272	0.6859787	1982-1999 –> 2000-2012	0.3082551	-2474.74523
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1155	0.2973070	489.74102	1.1555289	1982-1999 –> 2000-2012	0.6778125	2072.74363
Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate	1155	0.3150489	619.63465	1.3464043	1982-1999 –> 2000-2012	0.7312215	2509.18853
Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + silicate	1155	0.2586386	165.88068	1.0632270	1982-1999 –> 2000-2012	0.5916667	1284.95643
Atlantic	(28.15,28.2]	cstar_tref ~ aou + nitrate + phosphate_star	636	0.5709827	1102.06560	7.3363010	2000-2012 –> 2013-2019	0.7947192	931.08243
Atlantic	(28.15,28.2]	cstar_tref ~ aou + nitrate + silicate	636	0.5553662	1066.79164	6.9335082	2000-2012 –> 2013-2019	0.8157939	1246.59586
Atlantic	(28.15,28.2]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	636	0.5540147	1065.69238	6.7891939	2000-2012 –> 2013-2019	0.7655255	766.90339
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate	636	0.2156021	-136.76638	1.9725799	2000-2012 –> 2013-2019	0.3730492	-1119.43622
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate_star	636	0.2000269	-230.14401	1.4705162	2000-2012 –> 2013-2019	0.3550811	-1246.19173
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate	636	0.1903257	-293.38135	1.3866890	2000-2012 –> 2013-2019	0.3470711	-1284.37057
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	636	0.1879213	-307.55314	1.4575343	2000-2012 –> 2013-2019	0.3218125	-1660.58586
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate	636	0.4913042	912.88990	3.7232422	2000-2012 –> 2013-2019	0.8135724	1586.86064
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	636	0.3580823	512.55541	2.3528717	2000-2012 –> 2013-2019	0.6553893	1002.29643
Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + silicate	636	0.3521764	489.40121	2.6290300	2000-2012 –> 2013-2019	0.6108150	655.28189
Atlantic	(28.2, Inf]	cstar_tref ~ aou + nitrate	955	0.3102505	482.75573	3.8300126	1982-1999 –> 2000-2012	0.8335305	2402.03732
Atlantic	(28.2, Inf]	cstar_tref ~ aou + nitrate + phosphate_star	955	0.3086644	474.96642	3.9454972	1982-1999 –> 2000-2012	0.8302806	2388.35608
Atlantic	(28.2, Inf]	cstar_tref ~ aou + nitrate + silicate	955	0.3040469	446.17739	4.0559832	1982-1999 –> 2000-2012	0.8270678	2366.23168
Atlantic	(28.2, Inf]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	955	0.2912274	365.89965	3.9976083	1982-1999 –> 2000-2012	0.8084089	2260.13153
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	955	0.1973403	-379.42391	1.9207165	1982-1999 –> 2000-2012	0.4817501	31.01892
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	955	0.1541931	-848.66755	0.7135736	1982-1999 –> 2000-2012	0.3663878	-1162.05962
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	955	0.1744896	-612.47753	0.9944731	1982-1999 –> 2000-2012	0.4081182	-687.41598
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	955	0.1427395	-994.08967	0.8634543	1982-1999 –> 2000-2012	0.3506627	-1355.87253
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate	955	0.2450687	34.29854	1.5344845	1982-1999 –> 2000-2012	0.6293866	1190.75381
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate	955	0.1873725	-476.42135	1.2751196	1982-1999 –> 2000-2012	0.5425853	486.88314
Atlantic	(28.2, Inf]	cstar_tref ~ aou + nitrate + phosphate_star	552	0.5599552	936.30023	8.2431189	2000-2012 –> 2013-2019	0.8686196	1411.26665
Atlantic	(28.2, Inf]	cstar_tref ~ aou + nitrate + silicate	552	0.5590773	934.56807	8.2846220	2000-2012 –> 2013-2019	0.8631242	1380.74546
Atlantic	(28.2, Inf]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	552	0.5585051	935.43740	8.2959625	2000-2012 –> 2013-2019	0.8497325	1301.33706
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	552	0.2864800	196.41270	2.5941915	2000-2012 –> 2013-2019	0.4838204	-183.01121
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	552	0.2005924	-195.04621	1.3544749	2000-2012 –> 2013-2019	0.3547854	-1043.71377
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	552	0.2343110	-23.51303	1.6064160	2000-2012 –> 2013-2019	0.4088006	-635.99056
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	552	0.1875683	-267.15976	0.8704042	2000-2012 –> 2013-2019	0.3303078	-1261.24944
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	552	0.5028733	821.59974	3.7448893	2000-2012 –> 2013-2019	0.8330790	1429.41714
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate	552	0.3722655	485.59283	2.6181949	2000-2012 –> 2013-2019	0.6173342	519.89137
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate	552	0.2991133	246.05434	2.0911786	2000-2012 –> 2013-2019	0.4864858	-230.36701
Indo-Pacific	(-Inf,26]	cstar_tref ~ aou + phosphate + phosphate_star	5288	8.1577756	37215.41683	38.9147559	1982-1999 –> 2000-2012	16.7152412	88507.92706
Indo-Pacific	(-Inf,26]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	5288	7.7270410	36643.71602	27.6770673	1982-1999 –> 2000-2012	15.8083502	87114.85411
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	5288	6.2360939	34376.51793	29.9685673	1982-1999 –> 2000-2012	12.7664702	81783.00523
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5288	6.1928478	34304.91996	29.5273536	1982-1999 –> 2000-2012	12.6725136	81601.29062
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + aou + nitrate	5288	9.1850869	38469.83244	58.3430263	1982-1999 –> 2000-2012	18.6674110	91238.30082
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + aou + nitrate + silicate	5288	8.3095891	37412.42380	46.0999479	1982-1999 –> 2000-2012	16.7842072	88567.01897
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + aou + phosphate	5288	7.9014151	36877.72871	34.9079709	1982-1999 –> 2000-2012	16.1847006	87701.89789
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + aou + silicate	5288	9.0643999	38329.94864	29.8827064	1982-1999 –> 2000-2012	18.1635696	90505.21290
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + aou + silicate + phosphate	5288	7.4813073	36301.91612	28.3577796	1982-1999 –> 2000-2012	15.2949419	86288.61581
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + silicate + phosphate	5288	9.2910354	38591.12674	33.5733078	1982-1999 –> 2000-2012	18.8487786	91473.53187
Indo-Pacific	(-Inf,26]	cstar_tref ~ aou + phosphate + phosphate_star	2815	8.0245152	19723.10598	26.5404193	2000-2012 –> 2013-2019	16.1822907	56938.52281
Indo-Pacific	(-Inf,26]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2815	7.4836686	19332.25513	24.6240205	2000-2012 –> 2013-2019	15.2107096	55975.97115
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2815	5.9530030	18043.95729	24.8937268	2000-2012 –> 2013-2019	12.1890969	52420.47522
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2815	5.8787943	17975.33399	24.1274152	2000-2012 –> 2013-2019	12.0716422	52280.25395
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + aou + nitrate + silicate	2815	8.1230980	19793.85030	38.3358228	2000-2012 –> 2013-2019	16.4326871	57206.27410
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + aou + phosphate	2815	7.7633846	19536.84955	26.5747763	2000-2012 –> 2013-2019	15.6647997	56414.57826
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + aou + silicate	2815	8.7606269	20217.22975	29.0982066	2000-2012 –> 2013-2019	17.8250268	58547.17839
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + aou + silicate + phosphate	2815	7.2294362	19137.67063	24.2489188	2000-2012 –> 2013-2019	14.7107434	55439.58675
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + nitrate + silicate	2815	8.8067979	20246.82356	32.8648437	2000-2012 –> 2013-2019	18.0946665	58834.34487
Indo-Pacific	(-Inf,26]	cstar_tref ~ temp + silicate + phosphate	2815	8.8092234	20248.37394	32.5699799	2000-2012 –> 2013-2019	18.1002588	58839.50069
Indo-Pacific	(26,26.5]	cstar_tref ~ aou + phosphate + phosphate_star	5428	5.5232598	33966.55590	42.9002589	1982-1999 –> 2000-2012	10.8104932	80832.23341
Indo-Pacific	(26,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	5428	4.8772756	32618.27084	41.7349156	1982-1999 –> 2000-2012	9.5093971	77476.34842
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5428	6.7821362	36199.55197	57.0164383	1982-1999 –> 2000-2012	13.2646173	86165.48387
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + phosphate	5428	6.5989468	35898.29232	53.3719293	1982-1999 –> 2000-2012	12.9213975	85480.47853
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	5428	5.0722685	33043.84095	44.4697209	1982-1999 –> 2000-2012	9.8474998	78364.17230
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate	5428	6.1580459	35149.59391	54.1075921	1982-1999 –> 2000-2012	12.0789623	83736.94685
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5428	4.5387228	31839.27789	43.7366220	1982-1999 –> 2000-2012	8.7811733	75364.37494
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate_star	5428	6.7840291	36200.58150	57.1190839	1982-1999 –> 2000-2012	13.2680679	86168.16341
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + phosphate	5428	5.4837535	33888.62696	42.0285592	1982-1999 –> 2000-2012	10.7086286	80574.06317
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	5428	4.8836514	32632.45308	40.4064523	1982-1999 –> 2000-2012	9.4934799	77417.23967
Indo-Pacific	(26,26.5]	cstar_tref ~ aou + phosphate + phosphate_star	2876	5.5344654	18013.37756	40.2475644	2000-2012 –> 2013-2019	11.0577253	51979.93347
Indo-Pacific	(26,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2876	4.8221258	17222.86638	40.3488812	2000-2012 –> 2013-2019	9.6994014	49841.13722
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2876	6.7978079	19200.01873	26.9400542	2000-2012 –> 2013-2019	13.5799440	55399.57069
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + phosphate	2876	6.6667869	19084.07232	25.7262461	2000-2012 –> 2013-2019	13.2657337	54982.36463
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2876	5.0398371	17476.86830	47.6182308	2000-2012 –> 2013-2019	10.1121056	50520.70925
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate	2876	6.1599407	18631.25670	22.4919779	2000-2012 –> 2013-2019	12.3179866	53780.85061
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2876	4.4815941	16803.61261	46.1900332	2000-2012 –> 2013-2019	9.0203169	48642.89050
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate_star	2876	6.7979706	19198.15641	26.9386396	2000-2012 –> 2013-2019	13.5819997	55398.73791
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + phosphate	2876	5.4871446	17963.98530	37.8083732	2000-2012 –> 2013-2019	10.9708981	51852.61225
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	2876	4.8221384	17222.88141	36.9760613	2000-2012 –> 2013-2019	9.7057898	49855.33449
Indo-Pacific	(26.5,26.75]	cstar_tref ~ aou + phosphate + phosphate_star	4269	4.3689469	24714.36591	23.3661848	1982-1999 –> 2000-2012	8.5154681	58409.73103
Indo-Pacific	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4269	4.0546161	24078.86785	22.3581891	1982-1999 –> 2000-2012	8.0016719	57191.73449
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4269	4.8501989	25610.56754	39.1855696	1982-1999 –> 2000-2012	9.7148675	61203.67807
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + phosphate	4269	4.6870549	25314.43746	35.4540247	1982-1999 –> 2000-2012	9.2256034	60080.84417
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4269	4.2498302	24480.35037	18.1720830	1982-1999 –> 2000-2012	8.1827409	57550.65241
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate	4269	4.5002463	24969.17728	33.7090669	1982-1999 –> 2000-2012	8.9421174	59482.30610
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4269	3.9438120	23844.29492	20.4830181	1982-1999 –> 2000-2012	7.6993981	56369.61516
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	4269	4.8720921	25647.02024	35.6514958	1982-1999 –> 2000-2012	9.7580276	61289.84887
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + phosphate	4269	4.4348918	24842.27571	30.2935191	1982-1999 –> 2000-2012	8.6454324	58719.29044
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	4269	4.1456439	24268.42938	26.4234253	1982-1999 –> 2000-2012	8.1709797	57614.12914
Indo-Pacific	(26.5,26.75]	cstar_tref ~ aou + phosphate + phosphate_star	2324	4.7782278	13875.02241	21.6361645	2000-2012 –> 2013-2019	9.1471747	38589.38832
Indo-Pacific	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2324	4.4254119	13520.49118	24.9112112	2000-2012 –> 2013-2019	8.4800280	37599.35903
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2324	5.2450177	14312.25729	23.5105602	2000-2012 –> 2013-2019	10.0952166	39922.82483
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + phosphate	2324	5.1158693	14192.37675	19.2687767	2000-2012 –> 2013-2019	9.8029242	39506.81421
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2324	4.6647384	13765.29393	21.4787715	2000-2012 –> 2013-2019	8.9145686	38245.64430
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate	2324	4.8973282	13991.45649	18.9392025	2000-2012 –> 2013-2019	9.3975745	38960.63376
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2324	4.3199526	13410.38640	24.6916724	2000-2012 –> 2013-2019	8.2637646	37254.68132
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2324	5.2713220	14333.50928	20.7104714	2000-2012 –> 2013-2019	10.1434141	39980.52952
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + phosphate	2324	4.8375030	13932.32739	21.1172676	2000-2012 –> 2013-2019	9.2723949	38774.60311
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	2324	4.5115799	13610.12341	24.3218202	2000-2012 –> 2013-2019	8.6572238	37878.55279
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + phosphate + phosphate_star	4557	4.5587116	26768.50872	19.1945134	1982-1999 –> 2000-2012	8.5373800	62779.43920
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4557	4.5583246	26769.73492	19.0779671	1982-1999 –> 2000-2012	8.5369273	62782.45338
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + phosphate	4557	5.1744743	27923.23156	26.2309354	1982-1999 –> 2000-2012	9.8793335	66089.78864
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4557	4.3904749	26427.79819	21.4038278	1982-1999 –> 2000-2012	8.0962279	61527.03030
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	4557	5.1589044	27897.76649	25.9792089	1982-1999 –> 2000-2012	9.8428192	66008.95631
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4557	4.3862266	26420.97521	21.0605286	1982-1999 –> 2000-2012	8.0872756	61505.87489
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + phosphate + phosphate_star	4557	5.4702070	28429.77606	25.5683233	1982-1999 –> 2000-2012	10.5844334	67669.07970
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	4557	5.4578200	28411.11439	25.4092996	1982-1999 –> 2000-2012	10.5533212	67605.25372
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + phosphate	4557	4.7724143	27186.04186	20.9490883	1982-1999 –> 2000-2012	8.9728624	63894.44206
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	4557	4.7714335	27186.16866	20.9470596	1982-1999 –> 2000-2012	8.9712969	63894.77896
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + phosphate + phosphate_star	2460	4.9804533	14890.34048	18.4345342	2000-2012 –> 2013-2019	9.5391649	41658.84921
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2460	4.9804504	14892.33765	18.4452760	2000-2012 –> 2013-2019	9.5387750	41662.07257
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + phosphate	2460	5.6541961	15514.57544	18.7391820	2000-2012 –> 2013-2019	10.8286703	43437.80699
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2460	4.7927943	14703.37656	19.7027300	2000-2012 –> 2013-2019	9.1832692	41131.17475
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	2460	5.6406499	15504.77406	17.6579884	2000-2012 –> 2013-2019	10.7995543	43402.54055
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2460	4.7910605	14703.59640	19.4544536	2000-2012 –> 2013-2019	9.1772872	41124.57160
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + phosphate + phosphate_star	2460	5.8903068	15715.85340	21.0005131	2000-2012 –> 2013-2019	11.3605139	44145.62945
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2460	5.8797255	15709.00715	21.9579339	2000-2012 –> 2013-2019	11.3375455	44120.12153
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + phosphate	2460	5.2103015	15112.31522	17.3936099	2000-2012 –> 2013-2019	9.9827159	42298.35708
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	2460	5.2101598	15114.18140	17.3102355	2000-2012 –> 2013-2019	9.9815934	42300.35006
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + phosphate + phosphate_star	4267	4.3453467	24656.56820	49.2875875	1982-1999 –> 2000-2012	7.8071783	55355.50118
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4267	4.2336742	24436.38269	43.0543060	1982-1999 –> 2000-2012	7.6345327	54932.35764
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4267	5.0485541	25940.63695	20.4813220	1982-1999 –> 2000-2012	9.5117727	59574.04058
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + phosphate	4267	4.9735461	25808.89313	36.4624885	1982-1999 –> 2000-2012	9.2188491	58860.93961
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4267	4.3158154	24600.37242	51.0072982	1982-1999 –> 2000-2012	7.7016451	55045.26427
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	4267	4.6362460	25211.56668	29.1989046	1982-1999 –> 2000-2012	8.5898874	57444.66711
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4267	4.2143064	24399.25268	44.7114638	1982-1999 –> 2000-2012	7.5507703	54676.73929
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	4267	4.9680235	25801.41178	19.5757722	1982-1999 –> 2000-2012	9.3501809	59221.40871
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + phosphate	4267	4.5908317	25125.55983	49.0633627	1982-1999 –> 2000-2012	8.2772757	56549.57186
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate	4267	4.4625575	24885.71335	41.7410820	1982-1999 –> 2000-2012	8.0805047	56095.39923
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + phosphate + phosphate_star	2344	5.3749102	14545.98975	40.6000302	2000-2012 –> 2013-2019	9.7202569	39202.55795
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2344	5.0787920	14282.32808	32.6832487	2000-2012 –> 2013-2019	9.3124661	38718.71076
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2344	5.5690239	14716.31024	19.1807683	2000-2012 –> 2013-2019	10.6175780	40656.94719
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + phosphate	2344	5.7532428	14864.87588	31.4400507	2000-2012 –> 2013-2019	10.7267888	40673.76901
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2344	5.3618493	14536.58415	41.7191525	2000-2012 –> 2013-2019	9.6776647	39136.95657
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	2344	5.2896814	14473.05743	24.5225336	2000-2012 –> 2013-2019	9.9259274	39684.62411
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2344	5.0701758	14276.36814	33.6277311	2000-2012 –> 2013-2019	9.2844822	38675.62082
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2344	5.4579941	14619.90119	18.9519507	2000-2012 –> 2013-2019	10.4260176	40421.31297
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + phosphate	2344	5.5949327	14734.06966	39.7303227	2000-2012 –> 2013-2019	10.1857644	39859.62949
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate	2344	5.2622994	14448.72701	30.8068538	2000-2012 –> 2013-2019	9.7248570	39334.44036
Indo-Pacific	(27.25,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3520	3.5865174	18992.68611	35.2633993	1982-1999 –> 2000-2012	7.0616798	44142.33136
Indo-Pacific	(27.25,27.5]	cstar_tref ~ aou + silicate + phosphate	3520	3.2618129	18322.60061	30.9406135	1982-1999 –> 2000-2012	6.2803508	42141.29121
Indo-Pacific	(27.25,27.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3520	3.2120182	18216.29951	29.1359702	1982-1999 –> 2000-2012	6.2065564	41961.68290
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3520	3.0170713	17777.50479	30.6141183	1982-1999 –> 2000-2012	5.8968935	41156.38222
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	3520	3.1457999	18069.64743	28.6949446	1982-1999 –> 2000-2012	6.0864043	41643.56885
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3520	3.1346725	18046.70122	29.1767786	1982-1999 –> 2000-2012	6.0487445	41537.11519
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate_star	3520	3.1793247	18144.27582	30.2231362	1982-1999 –> 2000-2012	6.1281915	41744.66718
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	3520	3.1493898	18077.67665	29.8455275	1982-1999 –> 2000-2012	6.0757661	41605.84076
Indo-Pacific	(27.25,27.5]	cstar_tref ~ silicate + phosphate + phosphate_star	3520	3.4713520	18760.91809	33.5678231	1982-1999 –> 2000-2012	6.7712765	43420.43277
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate	3520	3.2271578	18249.40397	29.4145847	1982-1999 –> 2000-2012	6.2280791	42014.87521
Indo-Pacific	(27.25,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1879	4.2040035	10740.99912	34.1266956	2000-2012 –> 2013-2019	7.7905209	29733.68523
Indo-Pacific	(27.25,27.5]	cstar_tref ~ aou + silicate + phosphate	1879	3.9029016	10459.71583	29.1067512	2000-2012 –> 2013-2019	7.1647145	28782.31644
Indo-Pacific	(27.25,27.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1879	3.8461939	10406.71290	26.8572304	2000-2012 –> 2013-2019	7.0582121	28623.01241
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1879	3.4636269	10014.99557	28.8274843	2000-2012 –> 2013-2019	6.4806982	27792.50036
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	1879	3.7245872	10285.97578	26.5119634	2000-2012 –> 2013-2019	6.8703871	28355.62321
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1879	3.6867091	10249.56220	27.5141850	2000-2012 –> 2013-2019	6.8213816	28296.26342
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate_star	1879	3.7035693	10264.70928	28.4138948	2000-2012 –> 2013-2019	6.8828941	28408.98509
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1879	3.6875866	10248.45657	27.7368313	2000-2012 –> 2013-2019	6.8369764	28326.13322
Indo-Pacific	(27.25,27.5]	cstar_tref ~ silicate + phosphate + phosphate_star	1879	4.1021814	10646.85897	31.9710456	2000-2012 –> 2013-2019	7.5735334	29407.77706
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate	1879	3.8656669	10425.69138	27.2458580	2000-2012 –> 2013-2019	7.0928247	28675.09534
Indo-Pacific	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3170	2.0074662	13426.24730	9.9072224	1982-1999 –> 2000-2012	3.7761086	31352.53895
Indo-Pacific	(27.5,27.75]	cstar_tref ~ aou + silicate + phosphate	3170	2.0935976	13690.59451	18.6865810	1982-1999 –> 2000-2012	3.8379543	31490.36551
Indo-Pacific	(27.5,27.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3170	2.0335638	13508.13768	11.5548618	1982-1999 –> 2000-2012	3.7645577	31240.65236
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3170	1.8542474	12924.88664	13.2838580	1982-1999 –> 2000-2012	3.4799789	30094.38329
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	3170	2.0870688	13672.79240	20.0116366	1982-1999 –> 2000-2012	3.8169598	31399.56672
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3170	1.8834035	13023.80074	9.5549910	1982-1999 –> 2000-2012	3.5338959	30329.43049
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate_star	3170	1.9027986	13086.75551	12.4473296	1982-1999 –> 2000-2012	3.5535107	30391.58410
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	3170	1.9247016	13159.31811	14.1925496	1982-1999 –> 2000-2012	3.5760715	30467.73487
Indo-Pacific	(27.5,27.75]	cstar_tref ~ silicate + phosphate + phosphate_star	3170	2.0383446	13521.02530	10.6244028	1982-1999 –> 2000-2012	3.8043086	31431.66819
Indo-Pacific	(27.5,27.75]	cstar_tref ~ temp + aou + silicate + phosphate	3170	2.0272175	13488.32121	11.3198640	1982-1999 –> 2000-2012	3.7561956	31210.34160
Indo-Pacific	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1683	2.2974055	7587.92005	13.1900766	2000-2012 –> 2013-2019	4.3048717	21014.16735
Indo-Pacific	(27.5,27.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1683	2.3850935	7714.00324	14.5264047	2000-2012 –> 2013-2019	4.4186572	21222.14092
Indo-Pacific	(27.5,27.75]	cstar_tref ~ aou + silicate + phosphate_star	1683	2.3923473	7722.22479	14.4372474	2000-2012 –> 2013-2019	4.4522686	21310.00871
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1683	2.1594104	7381.41245	13.7085041	2000-2012 –> 2013-2019	4.0136578	20306.29910
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	1683	2.5193615	7898.34966	19.1048607	2000-2012 –> 2013-2019	4.6064303	21571.14206
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1683	2.1483716	7364.16146	12.8217994	2000-2012 –> 2013-2019	4.0317751	20387.96220
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate_star	1683	2.2370458	7498.30279	13.7718692	2000-2012 –> 2013-2019	4.1398444	20585.05830
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1683	2.2955622	7585.21828	14.9967179	2000-2012 –> 2013-2019	4.2202638	20744.53639
Indo-Pacific	(27.5,27.75]	cstar_tref ~ silicate + phosphate + phosphate_star	1683	2.3872125	7714.99251	14.6047508	2000-2012 –> 2013-2019	4.4255572	21236.01782
Indo-Pacific	(27.5,27.75]	cstar_tref ~ temp + aou + silicate + phosphate	1683	2.3758786	7700.97343	14.4354580	2000-2012 –> 2013-2019	4.4030961	21189.29465
Indo-Pacific	(27.75,27.85]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1216	1.4974446	4444.80300	11.6524935	1982-1999 –> 2000-2012	2.8625292	10297.80600
Indo-Pacific	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1216	1.4393241	4348.52879	8.0041666	1982-1999 –> 2000-2012	2.7883962	10161.69710
Indo-Pacific	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate_star	1216	1.5106622	4464.17556	12.8161287	1982-1999 –> 2000-2012	2.8761452	10316.16370
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1216	1.4724348	4405.84147	9.7647262	1982-1999 –> 2000-2012	2.8012636	10169.96785
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate	1216	1.5122611	4468.74824	10.3298053	1982-1999 –> 2000-2012	2.8643785	10289.52865
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1216	1.4268879	4329.42419	7.6562558	1982-1999 –> 2000-2012	2.7551730	10092.16905
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate_star	1216	1.4750884	4408.22046	10.0269124	1982-1999 –> 2000-2012	2.8047737	10172.52208
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1216	1.5440141	4519.28428	11.8252874	1982-1999 –> 2000-2012	2.8756683	10288.58112
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1216	1.4860189	4426.17537	10.3861397	1982-1999 –> 2000-2012	2.8159436	10191.08475
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate	1216	1.4456315	4359.16306	8.1897147	1982-1999 –> 2000-2012	2.7956235	10174.63257
Indo-Pacific	(27.75,27.85]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	691	1.6407130	2657.24397	13.6879734	2000-2012 –> 2013-2019	3.1381576	7102.04696
Indo-Pacific	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	691	1.6407154	2657.24602	13.7031008	2000-2012 –> 2013-2019	3.0800396	7005.77481
Indo-Pacific	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate_star	691	1.6407155	2655.24603	13.7065317	2000-2012 –> 2013-2019	3.1513777	7119.42159
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	691	1.6308082	2650.87572	15.5062349	2000-2012 –> 2013-2019	3.1032430	7056.71719
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	691	1.6140386	2636.59099	13.0991822	2000-2012 –> 2013-2019	3.0409264	6966.01518
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate_star	691	1.6311945	2649.20306	15.6696172	2000-2012 –> 2013-2019	3.1062829	7057.42351
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	691	1.6360261	2653.29043	16.1127438	2000-2012 –> 2013-2019	3.1220450	7079.46580
Indo-Pacific	(27.75,27.85]	cstar_tref ~ silicate + phosphate + phosphate_star	691	1.6417451	2656.11302	14.6099987	2000-2012 –> 2013-2019	3.1775226	7160.38894
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate	691	1.6434059	2659.51035	13.9486327	2000-2012 –> 2013-2019	3.0890374	7018.67342
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + silicate + phosphate	691	1.7054701	2708.74105	7.9570831	2000-2012 –> 2013-2019	3.1759011	7107.27055
Indo-Pacific	(27.85,27.95]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1797	1.4151787	6359.70243	11.6575809	1982-1999 –> 2000-2012	2.6642152	14680.01857
Indo-Pacific	(27.85,27.95]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1797	1.4100742	6346.71572	10.9021534	1982-1999 –> 2000-2012	2.7124570	14878.74018
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1797	1.4125952	6355.13552	11.3038103	1982-1999 –> 2000-2012	2.6595697	14669.08780
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1797	1.3767808	6262.83941	10.8206192	1982-1999 –> 2000-2012	2.6534586	14695.95693
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate	1797	1.3683349	6238.72416	9.2082326	1982-1999 –> 2000-2012	2.6475550	14679.91157
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate	1797	1.4327705	6402.10328	12.6394071	1982-1999 –> 2000-2012	2.7417720	14957.78801
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	1797	1.4164653	6362.96844	11.1547025	1982-1999 –> 2000-2012	2.7254575	14920.61683
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + nitrate + silicate	1797	1.4893161	6541.21640	14.7934698	1982-1999 –> 2000-2012	2.8160590	15165.04752
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + silicate	1797	1.4898601	6540.52901	14.8855773	1982-1999 –> 2000-2012	2.8167246	15162.82368
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + silicate + phosphate	1797	1.4549650	6457.34989	13.9019530	1982-1999 –> 2000-2012	2.7655440	15019.13098
Indo-Pacific	(27.85,27.95]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	987	1.6502610	3801.82733	11.9647667	2000-2012 –> 2013-2019	3.0654397	10161.52976
Indo-Pacific	(27.85,27.95]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	987	1.6555598	3808.15547	10.7142153	2000-2012 –> 2013-2019	3.0656341	10154.87120
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	987	1.6494324	3802.83596	12.1825689	2000-2012 –> 2013-2019	3.0620277	10157.97148
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	987	1.5919784	3732.85027	10.5660006	2000-2012 –> 2013-2019	2.9687592	9995.68967
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate	987	1.6038431	3745.50761	8.9600325	2000-2012 –> 2013-2019	2.9721781	9984.23177
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate	987	1.6884367	3844.97187	13.2429660	2000-2012 –> 2013-2019	3.1212071	10247.07516
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	987	1.6611677	3814.83069	10.9600055	2000-2012 –> 2013-2019	3.0776330	10177.79914
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + nitrate + silicate	987	1.7577183	3924.35335	15.9564312	2000-2012 –> 2013-2019	3.2470344	10465.56976
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + silicate	987	1.7595323	3924.38948	16.1454022	2000-2012 –> 2013-2019	3.2493924	10464.91849
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + silicate + phosphate	987	1.7189450	3880.32166	14.9409952	2000-2012 –> 2013-2019	3.1739100	10337.67155
Indo-Pacific	(27.95,28.05]	cstar_tref ~ aou + phosphate + phosphate_star	1162	0.7229272	2553.59899	2.8130547	1982-1999 –> 2000-2012	1.4061980	6174.02207
Indo-Pacific	(27.95,28.05]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1162	0.6613106	2348.56554	3.2626451	1982-1999 –> 2000-2012	1.2578203	5498.69125
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1162	0.7113286	2520.01037	3.6403726	1982-1999 –> 2000-2012	1.4136218	6239.93865
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1162	0.6714650	2383.97946	2.9027762	1982-1999 –> 2000-2012	1.3324376	5891.00648
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate	1162	0.6342541	2251.48292	3.3601225	1982-1999 –> 2000-2012	1.2614547	5576.10275
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1162	0.5801738	2046.36331	3.0668291	1982-1999 –> 2000-2012	1.1222674	4865.79437
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate_star	1162	0.7162436	2534.01299	3.4551856	1982-1999 –> 2000-2012	1.4255224	6286.36566
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1162	0.7306233	2580.20877	3.6745848	1982-1999 –> 2000-2012	1.4503393	6383.36778
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + phosphate	1162	0.7373831	2599.61201	2.9253638	1982-1999 –> 2000-2012	1.4326680	6280.65794
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate	1162	0.6777510	2405.63445	3.3678010	1982-1999 –> 2000-2012	1.2898026	5645.21781
Indo-Pacific	(27.95,28.05]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	648	0.6657190	1323.61796	3.0901877	2000-2012 –> 2013-2019	1.3270296	3672.18350
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate	648	0.7439955	1467.69081	3.6729041	2000-2012 –> 2013-2019	1.4834987	4075.97492
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	648	0.7225952	1431.86608	3.4794502	2000-2012 –> 2013-2019	1.4339238	3951.87645
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + phosphate + phosphate_star	648	0.7434588	1466.75561	2.5543282	2000-2012 –> 2013-2019	1.4149238	3850.73507
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate	648	0.6534666	1299.54320	3.1086636	2000-2012 –> 2013-2019	1.2877207	3551.02612
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	648	0.6051146	1201.91508	2.6426945	2000-2012 –> 2013-2019	1.1852884	3248.27839
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate_star	648	0.7321180	1446.83393	3.5170105	2000-2012 –> 2013-2019	1.4483615	3980.84692
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	648	0.7457659	1470.77110	3.5440215	2000-2012 –> 2013-2019	1.4763892	4050.97987
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	648	0.7444509	1468.48381	3.5805107	2000-2012 –> 2013-2019	1.4772683	4055.66145
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate	648	0.6790931	1349.39614	3.1827466	2000-2012 –> 2013-2019	1.3568441	3755.03059
Indo-Pacific	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1015	0.5111328	1530.05965	2.5005174	1982-1999 –> 2000-2012	1.0442769	3942.00359
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1015	0.4795310	1402.50348	3.1382674	1982-1999 –> 2000-2012	0.9490005	3430.04886
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1015	0.6166105	1910.90436	2.7536620	1982-1999 –> 2000-2012	1.2342975	4770.01157
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	1015	0.4621065	1325.36678	2.5240688	1982-1999 –> 2000-2012	0.9190226	3268.57196
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1015	0.4567175	1303.55398	2.4275171	1982-1999 –> 2000-2012	0.9128334	3243.43396
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate_star	1015	0.4952435	1465.95244	2.6603949	1982-1999 –> 2000-2012	0.9763616	3565.95826
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1015	0.4832957	1416.37833	2.5369659	1982-1999 –> 2000-2012	0.9535442	3446.96091
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1015	0.5024246	1495.17669	2.7042536	1982-1999 –> 2000-2012	0.9908390	3640.90839
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + silicate + phosphate_star	1015	0.6180104	1913.50761	3.5048497	1982-1999 –> 2000-2012	1.2456735	4819.28911
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate	1015	0.5195383	1563.17119	2.5414244	1982-1999 –> 2000-2012	1.0616963	4026.04973
Indo-Pacific	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	565	0.5277228	893.12254	2.3761959	2000-2012 –> 2013-2019	1.0388556	2423.18220
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	565	0.4790009	785.66096	2.5225697	2000-2012 –> 2013-2019	0.9585320	2188.16445
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	565	0.6403739	1111.75616	2.6526270	2000-2012 –> 2013-2019	1.2569845	3022.66052
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	565	0.4782438	781.87332	2.7103826	2000-2012 –> 2013-2019	0.9403503	2107.24009
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	565	0.4757060	777.86115	2.6220126	2000-2012 –> 2013-2019	0.9324235	2081.41513
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate_star	565	0.5056938	844.93949	2.9031874	2000-2012 –> 2013-2019	1.0009373	2310.89193
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	565	0.4904495	810.35122	2.7325905	2000-2012 –> 2013-2019	0.9737452	2226.72956
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	565	0.5119390	858.80929	2.9517822	2000-2012 –> 2013-2019	1.0143637	2353.98598
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + silicate + phosphate_star	565	0.6226972	1078.12531	3.6898519	2000-2012 –> 2013-2019	1.2407076	2991.63292
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate	565	0.5346490	907.85692	2.4052846	2000-2012 –> 2013-2019	1.0541873	2471.02811
Indo-Pacific	(28.1, Inf]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	9318	0.7944997	22168.26218	3.8391639	1982-1999 –> 2000-2012	1.6013476	53434.73647
Indo-Pacific	(28.1, Inf]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	9318	0.8387056	23177.35038	3.7019585	1982-1999 –> 2000-2012	1.6851346	55686.69310
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	9318	1.0414648	27212.48516	6.7195280	1982-1999 –> 2000-2012	2.1079837	65720.08745
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	9318	0.7861340	21972.99545	3.7460043	1982-1999 –> 2000-2012	1.5770507	52723.91650
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate	9318	0.9662840	25816.17093	6.5095472	1982-1999 –> 2000-2012	1.9300856	61695.61881
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	9318	0.7764916	21742.99893	4.8420893	1982-1999 –> 2000-2012	1.5383986	51524.14490
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	9318	1.0515962	27392.90147	5.9487989	1982-1999 –> 2000-2012	2.1087230	65670.94899
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + nitrate + silicate	9318	1.0281443	26972.59017	6.5316296	1982-1999 –> 2000-2012	2.0882169	65322.85444
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + silicate + phosphate	9318	0.8516421	23462.60283	3.6033168	1982-1999 –> 2000-2012	1.7138596	56451.57131
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + nitrate + silicate	9318	1.0374229	27138.01887	6.2648223	1982-1999 –> 2000-2012	2.1124096	65848.85730
Indo-Pacific	(28.1, Inf]	cstar_tref ~ aou + nitrate + silicate	5093	1.0092599	14557.19528	6.7583318	2000-2012 –> 2013-2019	2.0551168	41846.10803
Indo-Pacific	(28.1, Inf]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	5093	0.7891305	12053.02346	4.4064628	2000-2012 –> 2013-2019	1.5836302	34221.28563
Indo-Pacific	(28.1, Inf]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	5093	0.8389493	12676.59549	3.2318001	2000-2012 –> 2013-2019	1.6776550	35853.94588
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	5093	1.0036571	14502.49120	6.6323154	2000-2012 –> 2013-2019	2.0451219	41714.97635
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5093	0.7791371	11925.20571	4.2437545	2000-2012 –> 2013-2019	1.5652711	33898.20115
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate	5093	0.9461457	13901.42379	5.9085081	2000-2012 –> 2013-2019	1.9124297	39717.59472
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5093	0.7763424	11888.60317	4.2785787	2000-2012 –> 2013-2019	1.5528339	33631.60210
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + nitrate + silicate	5093	0.9927686	14391.38095	6.1659741	2000-2012 –> 2013-2019	2.0209129	41363.97112
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + silicate + phosphate	5093	0.8516164	12829.24194	3.1538462	2000-2012 –> 2013-2019	1.7032585	36291.84477
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + nitrate + silicate	5093	1.0044642	14508.67891	5.6573395	2000-2012 –> 2013-2019	2.0418871	41646.69778
SO	(26,26.5]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	103	2.8939527	523.20174	11.3645800	1982-1999 –> 2000-2012	6.7310068	1248.22174
SO	(26,26.5]	cstar_tref ~ aou + phosphate + phosphate_star	103	3.1099064	536.02742	13.4423528	1982-1999 –> 2000-2012	6.9489904	1259.18388
SO	(26,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	103	3.1056060	537.74236	13.2829176	1982-1999 –> 2000-2012	6.9340570	1262.18326
SO	(26,26.5]	cstar_tref ~ sal + aou + nitrate + phosphate_star	103	2.8925075	523.09883	10.0964294	1982-1999 –> 2000-2012	6.6962883	1245.87182
SO	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	103	2.8201069	519.87694	10.4369206	1982-1999 –> 2000-2012	6.5778586	1241.50886
SO	(26,26.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	103	2.7987265	516.30922	11.5669739	1982-1999 –> 2000-2012	6.4039621	1225.25124
SO	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	103	2.7820684	517.07944	11.7335300	1982-1999 –> 2000-2012	6.3296968	1223.86565
SO	(26,26.5]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	103	3.2068809	544.35289	14.7109498	1982-1999 –> 2000-2012	7.4078155	1292.74824
SO	(26,26.5]	cstar_tref ~ temp + aou + phosphate	103	3.0718846	533.49334	13.1452878	1982-1999 –> 2000-2012	6.8141602	1250.06050
SO	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	103	3.0676860	535.21159	12.9928321	1982-1999 –> 2000-2012	6.8014437	1253.19084
SO	(26,26.5]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	47	3.5046494	263.26473	12.4299294	2000-2012 –> 2013-2019	6.3986021	786.46646
SO	(26,26.5]	cstar_tref ~ aou + phosphate + phosphate_star	47	3.3670899	257.50081	8.6014201	2000-2012 –> 2013-2019	6.4769963	793.52823
SO	(26,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	47	3.3648166	259.43733	8.5607077	2000-2012 –> 2013-2019	6.4704226	797.17969
SO	(26,26.5]	cstar_tref ~ sal + aou + nitrate + phosphate_star	47	3.3097068	257.88502	10.8517464	2000-2012 –> 2013-2019	6.2022143	780.98386
SO	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	47	3.3023979	259.67721	10.9115500	2000-2012 –> 2013-2019	6.1225048	779.55416
SO	(26,26.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	47	3.2156777	255.17581	8.1981778	2000-2012 –> 2013-2019	6.0144042	771.48503
SO	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	47	3.0953135	253.58981	8.2440313	2000-2012 –> 2013-2019	5.8773819	770.66925
SO	(26,26.5]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	47	3.9446891	274.38302	12.5558562	2000-2012 –> 2013-2019	7.1515700	818.73590
SO	(26,26.5]	cstar_tref ~ temp + aou + phosphate	47	3.3099779	255.89273	8.3786785	2000-2012 –> 2013-2019	6.3818626	789.38606
SO	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	47	3.3093569	257.87509	8.3577591	2000-2012 –> 2013-2019	6.3770429	793.08667
SO	(26.5,26.75]	cstar_tref ~ aou + nitrate + phosphate_star	312	3.2357038	1628.14744	14.3655870	1982-1999 –> 2000-2012	6.9024185	3921.46452
SO	(26.5,26.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	312	3.0634697	1596.01569	14.8316212	1982-1999 –> 2000-2012	6.6583175	3874.70545
SO	(26.5,26.75]	cstar_tref ~ aou + phosphate + phosphate_star	312	3.5876719	1692.57982	11.4420147	1982-1999 –> 2000-2012	7.4632833	4032.43909
SO	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	312	3.5859988	1694.28876	11.5236419	1982-1999 –> 2000-2012	7.4377722	4030.96540
SO	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + phosphate_star	312	3.1102237	1605.46710	13.3865164	1982-1999 –> 2000-2012	6.5963633	3858.36326
SO	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	312	3.0429219	1593.81620	14.2419897	1982-1999 –> 2000-2012	6.5266828	3848.13901
SO	(26.5,26.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	312	3.4328170	1667.04752	10.4416926	1982-1999 –> 2000-2012	7.1738137	3979.21163
SO	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	312	3.3851555	1660.32315	10.6680136	1982-1999 –> 2000-2012	7.1260398	3974.46201
SO	(26.5,26.75]	cstar_tref ~ temp + aou + phosphate	312	3.5550986	1686.88850	11.0876359	1982-1999 –> 2000-2012	7.3793756	4015.54721
SO	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	312	3.5548067	1688.83728	11.1216332	1982-1999 –> 2000-2012	7.3527329	4013.68799
SO	(26.5,26.75]	cstar_tref ~ aou + nitrate + phosphate_star	133	3.0907234	687.59343	10.5863352	2000-2012 –> 2013-2019	6.3264272	2315.74086
SO	(26.5,26.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	133	2.8586117	668.82704	10.7899231	2000-2012 –> 2013-2019	5.9220813	2264.84274
SO	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	133	3.4294334	717.25474	12.0502332	2000-2012 –> 2013-2019	7.0154323	2411.54350
SO	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + phosphate_star	133	2.9251771	674.95008	10.0430783	2000-2012 –> 2013-2019	6.0354007	2280.41718
SO	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	133	2.8346133	668.58452	10.4915004	2000-2012 –> 2013-2019	5.8775352	2262.40072
SO	(26.5,26.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	133	3.4417680	718.20974	10.7909564	2000-2012 –> 2013-2019	6.8745850	2385.25726
SO	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	133	3.3086255	709.71539	11.2370587	2000-2012 –> 2013-2019	6.6937810	2370.03854
SO	(26.5,26.75]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	133	3.3966883	714.70269	13.0655910	2000-2012 –> 2013-2019	6.9615760	2405.30706
SO	(26.5,26.75]	cstar_tref ~ temp + aou + phosphate	133	3.4702325	718.40059	11.2459312	2000-2012 –> 2013-2019	7.0253310	2405.28909
SO	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	133	3.4211162	716.60884	11.8488023	2000-2012 –> 2013-2019	6.9759229	2405.44612
SO	(26.75,27]	cstar_tref ~ aou + phosphate + phosphate_star	1061	3.1909254	5483.16742	11.1001495	1982-1999 –> 2000-2012	6.4608901	13382.43214
SO	(26.75,27]	cstar_tref ~ aou + silicate + phosphate	1061	3.7166532	5806.79920	12.4041040	1982-1999 –> 2000-2012	7.2999903	13983.35538
SO	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1061	3.1804933	5478.21864	11.8446434	1982-1999 –> 2000-2012	6.4205680	13351.65946
SO	(26.75,27]	cstar_tref ~ sal + aou + phosphate	1061	3.5454222	5706.71227	11.6789593	1982-1999 –> 2000-2012	7.0567738	13821.77912
SO	(26.75,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1061	3.1052457	5427.41059	11.4733332	1982-1999 –> 2000-2012	6.2835997	13242.57564
SO	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	1061	3.5350328	5702.48489	12.0729679	1982-1999 –> 2000-2012	7.0253173	13801.31792
SO	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1061	3.0975313	5424.13233	10.7715750	1982-1999 –> 2000-2012	6.2758146	13241.22989
SO	(26.75,27]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1061	3.6894762	5793.22569	13.6465748	1982-1999 –> 2000-2012	7.3014469	13995.89755
SO	(26.75,27]	cstar_tref ~ temp + aou + phosphate	1061	3.0601071	5394.33830	10.8730075	1982-1999 –> 2000-2012	6.2235682	13193.27215
SO	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	1061	3.0479294	5387.87697	11.5746525	1982-1999 –> 2000-2012	6.1798454	13158.44493
SO	(26.75,27]	cstar_tref ~ aou + phosphate + phosphate_star	550	3.2449568	2865.64464	11.3155940	2000-2012 –> 2013-2019	6.4358822	8348.81206
SO	(26.75,27]	cstar_tref ~ aou + silicate + phosphate	550	3.6180650	2985.36567	11.4446347	2000-2012 –> 2013-2019	7.3347182	8792.16487
SO	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	550	3.2416281	2866.51566	11.9378678	2000-2012 –> 2013-2019	6.4221214	8344.73429
SO	(26.75,27]	cstar_tref ~ sal + aou + phosphate	550	3.5124903	2952.79020	12.1647662	2000-2012 –> 2013-2019	7.0579126	8659.50247
SO	(26.75,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	550	3.1744064	2843.46512	11.0611292	2000-2012 –> 2013-2019	6.2796521	8270.87571
SO	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	550	3.5115812	2954.50546	12.5673238	2000-2012 –> 2013-2019	7.0466140	8656.99034
SO	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	550	3.1625561	2841.35103	10.0227743	2000-2012 –> 2013-2019	6.2600874	8265.48336
SO	(26.75,27]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	550	3.6321076	2991.62678	13.8799131	2000-2012 –> 2013-2019	7.3215838	8784.85247
SO	(26.75,27]	cstar_tref ~ temp + aou + phosphate	550	3.1137398	2820.23933	11.5550163	2000-2012 –> 2013-2019	6.1738469	8214.57763
SO	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	550	3.1091758	2820.62583	12.2754836	2000-2012 –> 2013-2019	6.1571052	8208.50279
SO	(27,27.25]	cstar_tref ~ aou + phosphate + phosphate_star	2513	2.2310093	11174.71932	20.3019964	1982-1999 –> 2000-2012	4.3817344	26207.01601
SO	(27,27.25]	cstar_tref ~ aou + silicate + phosphate	2513	2.8817161	12461.03300	9.0918308	1982-1999 –> 2000-2012	5.6062364	29119.41668
SO	(27,27.25]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2513	2.1855242	11073.19183	19.9358932	1982-1999 –> 2000-2012	4.3305195	26089.14584
SO	(27,27.25]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2513	2.2129882	11135.95665	18.5410491	1982-1999 –> 2000-2012	4.3258981	26048.28036
SO	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	2513	2.8751519	12451.57131	10.2955155	1982-1999 –> 2000-2012	5.5979154	29107.51993
SO	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2513	2.0579932	10773.00670	13.5113110	1982-1999 –> 2000-2012	4.0950157	25435.82789
SO	(27,27.25]	cstar_tref ~ temp + aou + nitrate	2513	2.7809390	12282.12078	18.2647157	1982-1999 –> 2000-2012	5.4550748	28812.15631
SO	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate	2513	2.6926276	12121.92617	17.8033465	1982-1999 –> 2000-2012	5.3480564	28605.69122
SO	(27,27.25]	cstar_tref ~ temp + aou + phosphate	2513	2.0756373	10811.91324	20.5172025	1982-1999 –> 2000-2012	4.0785541	25354.63522
SO	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate	2513	2.0330996	10709.84130	20.2027443	1982-1999 –> 2000-2012	4.0316468	25239.54612
SO	(27,27.25]	cstar_tref ~ aou + phosphate + phosphate_star	1286	2.4324696	5945.77880	15.4232078	2000-2012 –> 2013-2019	4.6634789	17120.49812
SO	(27,27.25]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1286	2.3599290	5869.91020	15.2763674	2000-2012 –> 2013-2019	4.5454532	16943.10203
SO	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1286	2.9411227	6438.16133	9.4471096	2000-2012 –> 2013-2019	5.8004987	18864.07914
SO	(27,27.25]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1286	2.4027223	5916.13129	13.5109418	2000-2012 –> 2013-2019	4.6157105	17052.08794
SO	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	1286	3.0493301	6529.08907	9.0530819	2000-2012 –> 2013-2019	5.9244819	18980.66038
SO	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1286	2.1464756	5628.07353	8.9203550	2000-2012 –> 2013-2019	4.2044688	16401.08024
SO	(27,27.25]	cstar_tref ~ temp + aou + nitrate	1286	2.9975558	6483.04435	14.6287384	2000-2012 –> 2013-2019	5.7784948	18765.16513
SO	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate	1286	2.8802818	6382.39819	14.4411883	2000-2012 –> 2013-2019	5.5729094	18504.32436
SO	(27,27.25]	cstar_tref ~ temp + aou + phosphate	1286	2.2744829	5773.05797	15.1650509	2000-2012 –> 2013-2019	4.3501202	16584.97121
SO	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate	1286	2.2053646	5695.68634	15.0530360	2000-2012 –> 2013-2019	4.2384642	16405.52764
SO	(27.25,27.5]	cstar_tref ~ aou + phosphate + phosphate_star	2731	1.7123337	10698.01829	10.6962889	1982-1999 –> 2000-2012	3.1840441	24443.22565
SO	(27.25,27.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2731	1.7044100	10674.68459	10.2588537	1982-1999 –> 2000-2012	3.1740121	24410.98547
SO	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2731	1.7685128	10878.34120	6.6987205	1982-1999 –> 2000-2012	3.3540021	25194.09994
SO	(27.25,27.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2731	1.7122681	10699.80880	10.6596559	1982-1999 –> 2000-2012	3.1765565	24408.55152
SO	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	2731	1.8715558	11185.66046	9.9566876	1982-1999 –> 2000-2012	3.5207986	25799.35073
SO	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2731	1.7031501	10672.64564	10.3506844	1982-1999 –> 2000-2012	3.1673138	24382.74009
SO	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate	2731	1.8165293	11020.66123	8.3414353	1982-1999 –> 2000-2012	3.4115199	25377.87651
SO	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	2731	1.7701234	10881.31342	8.3156806	1982-1999 –> 2000-2012	3.3528617	25181.86009
SO	(27.25,27.5]	cstar_tref ~ temp + aou + phosphate	2731	1.7029294	10667.93781	10.9015165	1982-1999 –> 2000-2012	3.1555547	24313.83983
SO	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate	2731	1.6928198	10637.41537	10.4121564	1982-1999 –> 2000-2012	3.1441673	24278.62238
SO	(27.25,27.5]	cstar_tref ~ aou + phosphate + phosphate_star	1453	1.8860707	5977.27977	9.6971873	2000-2012 –> 2013-2019	3.5984044	16675.29806
SO	(27.25,27.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1453	1.8644467	5945.76977	9.5113487	2000-2012 –> 2013-2019	3.5688568	16620.45436
SO	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1453	1.9580364	6090.09928	6.6107135	2000-2012 –> 2013-2019	3.7265492	16968.44047
SO	(27.25,27.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1453	1.8844286	5976.74852	9.5180358	2000-2012 –> 2013-2019	3.5966966	16676.55732
SO	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	1453	2.1051637	6298.64206	6.8480391	2000-2012 –> 2013-2019	3.9767195	17484.30252
SO	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1453	1.8499006	5925.00869	8.8413014	2000-2012 –> 2013-2019	3.5530507	16597.65434
SO	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate	1453	2.0691021	6246.43077	9.4257027	2000-2012 –> 2013-2019	3.8856313	17267.09200
SO	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	1453	1.9917195	6137.66448	9.3813172	2000-2012 –> 2013-2019	3.7618429	17018.97790
SO	(27.25,27.5]	cstar_tref ~ temp + aou + phosphate	1453	1.8839153	5973.95692	9.7340855	2000-2012 –> 2013-2019	3.5868447	16641.89473
SO	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate	1453	1.8580136	5935.72557	9.5664542	2000-2012 –> 2013-2019	3.5508334	16573.14093
SO	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3391	1.4983094	12377.45721	8.4631334	1982-1999 –> 2000-2012	2.7575978	27383.27911
SO	(27.5,27.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3391	1.5946971	12800.29090	9.8583488	1982-1999 –> 2000-2012	2.8910276	28069.63853
SO	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate	3391	1.5070685	12416.98948	8.5220841	1982-1999 –> 2000-2012	2.8272288	27851.91688
SO	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3391	1.4809706	12300.51669	8.2778025	1982-1999 –> 2000-2012	2.7401872	27307.82001
SO	(27.5,27.75]	cstar_tref ~ sal + aou + phosphate	3391	1.5404099	12563.39425	8.3875876	1982-1999 –> 2000-2012	2.8581849	27979.88335
SO	(27.5,27.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	3391	1.5356737	12544.50996	8.6400349	1982-1999 –> 2000-2012	2.8192846	27724.22612
SO	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	3391	1.5342954	12538.42035	9.1082132	1982-1999 –> 2000-2012	2.8516856	27954.25456
SO	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3391	1.5320138	12530.32770	9.1542418	1982-1999 –> 2000-2012	2.8147095	27705.56033
SO	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate	3391	1.5314112	12525.65958	8.9583230	1982-1999 –> 2000-2012	2.7897750	27524.80452
SO	(27.5,27.75]	cstar_tref ~ temp + aou + silicate + phosphate	3391	1.5959384	12805.56780	9.8484958	1982-1999 –> 2000-2012	2.8927177	28078.06225
SO	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1821	1.7424835	7202.21816	10.3871064	2000-2012 –> 2013-2019	3.2407928	19579.67537
SO	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate	1821	1.7135136	7141.15859	9.9489584	2000-2012 –> 2013-2019	3.2205821	19558.14808
SO	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1821	1.6982942	7110.66600	9.9919662	2000-2012 –> 2013-2019	3.1792648	19411.18269
SO	(27.5,27.75]	cstar_tref ~ sal + aou + phosphate	1821	1.7654271	7247.86014	9.4175182	2000-2012 –> 2013-2019	3.3058370	19811.25439
SO	(27.5,27.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1821	1.7648670	7248.70460	9.5231806	2000-2012 –> 2013-2019	3.3005407	19793.21456
SO	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	1821	1.7554617	7229.24367	10.4000190	2000-2012 –> 2013-2019	3.2897571	19767.66403
SO	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1821	1.7554240	7231.16546	10.3901005	2000-2012 –> 2013-2019	3.2874378	19761.49316
SO	(27.5,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1821	1.7636002	7246.08938	10.0459801	2000-2012 –> 2013-2019	3.3335648	19940.37232
SO	(27.5,27.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1821	1.7759849	7271.57553	10.2576966	2000-2012 –> 2013-2019	3.3510565	19987.88422
SO	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate	1821	1.7928970	7306.09301	10.6492262	2000-2012 –> 2013-2019	3.3243082	19831.75259
SO	(27.75,27.85]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1415	1.4036591	4987.19942	11.2501595	1982-1999 –> 2000-2012	2.6328581	10866.53706
SO	(27.75,27.85]	cstar_tref ~ aou + phosphate + phosphate_star	1415	1.6850848	5502.33501	15.6356978	1982-1999 –> 2000-2012	3.0177261	11671.36116
SO	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1415	1.5457490	5260.08534	14.9931462	1982-1999 –> 2000-2012	2.8353441	11312.57847
SO	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate	1415	1.4560752	5090.95335	11.3251877	1982-1999 –> 2000-2012	2.8695389	11474.53737
SO	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1415	1.3799763	4941.04374	10.6092986	1982-1999 –> 2000-2012	2.6003361	10796.32800
SO	(27.75,27.85]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1415	1.5423911	5253.93100	12.6291341	1982-1999 –> 2000-2012	2.8691572	11409.00657
SO	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate	1415	1.5002211	5175.47947	13.3007884	1982-1999 –> 2000-2012	2.9263658	11591.30648
SO	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1415	1.4740467	5127.66844	13.4027185	1982-1999 –> 2000-2012	2.7633662	11181.39033
SO	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate	1415	1.5056329	5185.66974	13.4580336	1982-1999 –> 2000-2012	2.7650010	11152.54027
SO	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate	1415	1.5570102	5280.62799	15.2048873	1982-1999 –> 2000-2012	2.8545471	11355.28456
SO	(27.75,27.85]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	722	1.5404965	2684.90655	8.3689795	2000-2012 –> 2013-2019	2.9441556	7672.10596
SO	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	722	1.6781152	2808.46450	9.0172681	2000-2012 –> 2013-2019	3.2238642	8068.54984
SO	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate	722	1.5764019	2718.17657	8.5554720	2000-2012 –> 2013-2019	3.0324771	7809.12992
SO	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	722	1.5043391	2652.60992	8.2718276	2000-2012 –> 2013-2019	2.8843154	7593.65365
SO	(27.75,27.85]	cstar_tref ~ sal + aou + phosphate	722	1.6789098	2807.14811	6.8085535	2000-2012 –> 2013-2019	3.2401890	8093.52463
SO	(27.75,27.85]	cstar_tref ~ sal + aou + phosphate + phosphate_star	722	1.6596139	2792.45592	6.7527233	2000-2012 –> 2013-2019	3.2020050	8046.38692
SO	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate	722	1.6145124	2752.67092	8.7482873	2000-2012 –> 2013-2019	3.1147336	7928.15039
SO	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	722	1.5913038	2733.76278	8.6142494	2000-2012 –> 2013-2019	3.0653505	7861.43122
SO	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate	722	1.6481022	2782.40496	8.6212595	2000-2012 –> 2013-2019	3.1537351	7968.07470
SO	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate	722	1.6879048	2816.86390	9.0487533	2000-2012 –> 2013-2019	3.2449150	8097.49189
SO	(27.85,27.95]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1399	1.5026265	5121.57639	9.8099973	1982-1999 –> 2000-2012	3.0891268	12102.59481
SO	(27.85,27.95]	cstar_tref ~ aou + phosphate + phosphate_star	1399	1.5394064	5187.23852	8.8149317	1982-1999 –> 2000-2012	3.1128680	12135.67309
SO	(27.85,27.95]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1399	1.5221906	5157.77112	9.6180388	1982-1999 –> 2000-2012	3.0852906	12083.71999
SO	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1399	1.3661540	4857.16454	8.5867618	1982-1999 –> 2000-2012	2.7006066	11199.01016
SO	(27.85,27.95]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1399	1.5214807	5156.46588	8.1358516	1982-1999 –> 2000-2012	2.9663087	11790.82404
SO	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1399	1.4396129	5003.70924	9.8030845	1982-1999 –> 2000-2012	2.8546010	11562.72636
SO	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate	1399	1.5666886	5236.39183	8.2315027	1982-1999 –> 2000-2012	3.1365436	12176.32203
SO	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate	1399	1.5200790	5153.88703	9.6302273	1982-1999 –> 2000-2012	3.0894478	12094.66913
SO	(27.85,27.95]	cstar_tref ~ temp + aou + phosphate	1399	1.5540412	5213.71275	8.8024126	1982-1999 –> 2000-2012	3.1380959	12187.01403
SO	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	1399	1.5348258	5180.90044	9.6492690	1982-1999 –> 2000-2012	3.1096657	12134.58009
SO	(27.85,27.95]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	709	1.5653688	2659.49106	8.8715048	2000-2012 –> 2013-2019	3.0679953	7781.06745
SO	(27.85,27.95]	cstar_tref ~ aou + phosphate + phosphate_star	709	1.7227771	2793.35829	8.4664008	2000-2012 –> 2013-2019	3.2621835	7980.59682
SO	(27.85,27.95]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	709	1.6395117	2725.11185	9.8362869	2000-2012 –> 2013-2019	3.1617023	7882.88298
SO	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	709	1.5223861	2622.01030	7.8651764	2000-2012 –> 2013-2019	2.8885400	7479.17484
SO	(27.85,27.95]	cstar_tref ~ sal + aou + phosphate + phosphate_star	709	1.7152473	2789.14703	8.5064676	2000-2012 –> 2013-2019	3.2367280	7945.61291
SO	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	709	1.6286558	2717.69148	10.1355952	2000-2012 –> 2013-2019	3.0682688	7721.40072
SO	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate_star	709	1.7267723	2798.64292	12.7730610	2000-2012 –> 2013-2019	3.2750075	8003.88273
SO	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate	709	1.6394437	2725.05303	9.1707714	2000-2012 –> 2013-2019	3.1595227	7878.94007
SO	(27.85,27.95]	cstar_tref ~ temp + aou + silicate	709	1.6562928	2737.55189	10.3435534	2000-2012 –> 2013-2019	3.2375270	7999.80145
SO	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	709	1.6544642	2737.98555	10.0505177	2000-2012 –> 2013-2019	3.1892900	7918.88599
SO	(27.95,28.05]	cstar_tref ~ aou + nitrate + phosphate_star	1786	1.7878876	7153.90477	10.0276218	1982-1999 –> 2000-2012	3.5388091	17007.85240
SO	(27.95,28.05]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1786	1.7878376	7155.80486	9.9981828	1982-1999 –> 2000-2012	3.5042943	16912.86903
SO	(27.95,28.05]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1786	1.8568430	7291.07973	11.0970363	1982-1999 –> 2000-2012	3.5941943	17108.32714
SO	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1786	1.6882407	6951.05836	9.4364874	1982-1999 –> 2000-2012	3.1710443	15980.28933
SO	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1786	1.5483054	6643.98762	7.5549297	1982-1999 –> 2000-2012	2.8861036	15163.34679
SO	(27.95,28.05]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1786	1.7323419	7043.17019	10.1736604	1982-1999 –> 2000-2012	3.2195838	16087.26729
SO	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1786	1.7234592	7026.80751	9.6018392	1982-1999 –> 2000-2012	3.1951756	16020.70736
SO	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate_star	1786	1.9225749	7415.34124	9.0025728	1982-1999 –> 2000-2012	3.5516216	16912.42866
SO	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate	1786	1.8184423	7216.43393	10.5459205	1982-1999 –> 2000-2012	3.5342999	16971.76154
SO	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate	1786	1.8636819	7304.21159	11.1052122	1982-1999 –> 2000-2012	3.6062227	17136.29427
SO	(27.95,28.05]	cstar_tref ~ aou + nitrate + phosphate_star	986	1.9527900	4127.92582	9.1550283	2000-2012 –> 2013-2019	3.7406776	11281.83059
SO	(27.95,28.05]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	986	1.9008717	4076.78716	8.6940193	2000-2012 –> 2013-2019	3.6887093	11232.59202
SO	(27.95,28.05]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	986	1.9732576	4150.48717	9.5719739	2000-2012 –> 2013-2019	3.8301006	11441.56689
SO	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + phosphate_star	986	1.9327722	4109.60675	9.1048682	2000-2012 –> 2013-2019	3.6210129	11060.66511
SO	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	986	1.6648161	3817.30407	7.0125027	2000-2012 –> 2013-2019	3.2131214	10461.29170
SO	(27.95,28.05]	cstar_tref ~ sal + aou + phosphate + phosphate_star	986	1.8748363	4049.59093	9.4099333	2000-2012 –> 2013-2019	3.6071782	11092.76112
SO	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	986	1.8071065	3979.03237	8.8048453	2000-2012 –> 2013-2019	3.5305658	11005.83989
SO	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate	986	1.9522283	4127.35847	9.4605001	2000-2012 –> 2013-2019	3.7951907	11389.63590
SO	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate	986	1.9514149	4128.53662	9.3908204	2000-2012 –> 2013-2019	3.7698572	11344.97055
SO	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate	986	1.9806829	4157.89375	9.5922512	2000-2012 –> 2013-2019	3.8443648	11462.10533
SO	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1071	1.2887547	3594.74125	9.1498858	1982-1999 –> 2000-2012	2.5173003	8526.54349
SO	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1071	1.2084510	3456.93125	6.8893057	1982-1999 –> 2000-2012	2.3093792	8056.63029
SO	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1071	1.1155347	3287.55934	8.1328311	1982-1999 –> 2000-2012	2.1524995	7708.01563
SO	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1071	1.1929018	3429.19115	10.1579725	1982-1999 –> 2000-2012	2.2787248	7987.05738
SO	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	1071	1.3134273	3635.36118	9.8554423	1982-1999 –> 2000-2012	2.5228510	8519.66310
SO	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1071	1.1927699	3430.95436	10.1729214	1982-1999 –> 2000-2012	2.2759473	7983.43376
SO	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate_star	1071	1.2795987	3579.46892	10.2387822	1982-1999 –> 2000-2012	2.4750477	8428.57908
SO	(28.05,28.1]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1071	1.2890735	3595.27099	9.8929533	1982-1999 –> 2000-2012	2.4900398	8458.32396
SO	(28.05,28.1]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1071	1.2892818	3595.61714	10.0112271	1982-1999 –> 2000-2012	2.4913241	8461.38159
SO	(28.05,28.1]	cstar_tref ~ sal + silicate + phosphate_star	1071	1.2894658	3593.92282	9.9747428	1982-1999 –> 2000-2012	2.4917321	8458.25145
SO	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	606	1.5111394	2232.14456	10.1898206	2000-2012 –> 2013-2019	2.7998941	5826.88581
SO	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + phosphate_star	606	1.4409135	2174.46954	7.1949964	2000-2012 –> 2013-2019	2.6493644	5631.40079
SO	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	606	1.3483022	2095.95509	8.8409161	2000-2012 –> 2013-2019	2.4638369	5383.51443
SO	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	606	1.4121339	2150.01706	11.3700248	2000-2012 –> 2013-2019	2.6050356	5579.20821
SO	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	606	1.4121202	2152.00535	11.3570568	2000-2012 –> 2013-2019	2.6048901	5582.95971
SO	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate_star	606	1.5226062	2241.30675	12.0734958	2000-2012 –> 2013-2019	2.8022049	5820.77567
SO	(28.05,28.1]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	606	1.5082442	2229.82026	11.4315183	2000-2012 –> 2013-2019	2.7973177	5825.09125
SO	(28.05,28.1]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	606	1.5132294	2233.81972	11.7176088	2000-2012 –> 2013-2019	2.8025112	5829.43686
SO	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate + silicate	606	1.5154986	2235.63580	9.1574559	2000-2012 –> 2013-2019	2.8022865	5827.10553
SO	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate	606	1.5174036	2237.15837	10.2485394	2000-2012 –> 2013-2019	2.8109104	5839.78338
SO	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	5309	1.1131847	16216.80444	5.7249643	1982-1999 –> 2000-2012	2.1197407	37208.91825
SO	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5309	1.0966504	16059.91059	6.0094365	1982-1999 –> 2000-2012	2.0858171	36797.53418
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate	5309	1.2089554	17091.12563	5.2917634	1982-1999 –> 2000-2012	2.2589810	38703.51498
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate	5309	1.1413351	16481.97502	5.3662848	1982-1999 –> 2000-2012	2.1729825	37836.48001
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5309	1.1018498	16110.13386	6.1005720	1982-1999 –> 2000-2012	2.0809310	36696.92150
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate_star	5309	1.1018770	16108.39528	6.0859562	1982-1999 –> 2000-2012	2.0912319	36846.81840
SO	(28.1, Inf]	cstar_tref ~ sal + nitrate + silicate	5309	1.1832733	16863.13490	5.5350736	1982-1999 –> 2000-2012	2.2069401	38101.34191
SO	(28.1, Inf]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	5309	1.0966518	16057.92414	6.0074321	1982-1999 –> 2000-2012	2.0897732	36852.27237
SO	(28.1, Inf]	cstar_tref ~ sal + silicate + phosphate	5309	1.1893939	16917.91646	5.4381922	1982-1999 –> 2000-2012	2.2251597	38329.05922
SO	(28.1, Inf]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	5309	1.1077529	16164.86713	5.8381245	1982-1999 –> 2000-2012	2.1175228	37203.89999
SO	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	2711	1.1984107	8686.84629	6.1177936	2000-2012 –> 2013-2019	2.3115954	24903.65073
SO	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2711	1.1833450	8620.25233	6.1959706	2000-2012 –> 2013-2019	2.2799954	24680.16292
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate	2711	1.2248602	8805.21135	5.6732656	2000-2012 –> 2013-2019	2.3661953	25287.18637
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2711	1.1918719	8659.18181	6.0524338	2000-2012 –> 2013-2019	2.2937217	24769.31567
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate_star	2711	1.1946469	8669.79086	6.0803943	2000-2012 –> 2013-2019	2.2965238	24778.18614
SO	(28.1, Inf]	cstar_tref ~ sal + nitrate + silicate	2711	1.3268643	9236.92650	5.4657068	2000-2012 –> 2013-2019	2.5101376	26100.06140
SO	(28.1, Inf]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2711	1.1852384	8626.92080	6.1789071	2000-2012 –> 2013-2019	2.2818902	24684.84494
SO	(28.1, Inf]	cstar_tref ~ sal + silicate + phosphate	2711	1.3282476	9242.57622	5.4498023	2000-2012 –> 2013-2019	2.5176415	26160.49268
SO	(28.1, Inf]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2711	1.1919888	8657.71369	6.0393123	2000-2012 –> 2013-2019	2.2997417	24822.58083
SO	(28.1, Inf]	cstar_tref ~ sal + silicate + phosphate_star	2711	1.2918625	9091.97737	5.8982858	2000-2012 –> 2013-2019	2.5305063	26440.69980
SO	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + silicate	395	0.5288565	629.70128	1.8285447	1982-1999 –> 2000-2012	1.0213642	1382.24384
SO	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	395	0.4829853	560.02394	1.5318770	1982-1999 –> 2000-2012	0.9517188	1263.01268
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate	395	0.5417303	646.70167	1.7010308	1982-1999 –> 2000-2012	1.0377095	1404.56299
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate	395	0.5328126	635.58893	1.7652581	1982-1999 –> 2000-2012	1.0282695	1394.35230
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	395	0.4692853	537.29134	1.7413747	1982-1999 –> 2000-2012	0.9103638	1176.91460
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate_star	395	0.5103244	601.52155	1.7907538	1982-1999 –> 2000-2012	0.9951592	1337.70278
SO	(28.1,28.15]	cstar_tref ~ sal + nitrate + silicate	395	0.5290836	628.04052	1.8539746	1982-1999 –> 2000-2012	1.0314002	1399.13159
SO	(28.1,28.15]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	395	0.5279427	628.33511	1.8926109	1982-1999 –> 2000-2012	1.0267214	1394.06143
SO	(28.1,28.15]	cstar_tref ~ sal + silicate + phosphate	395	0.5337506	634.97836	1.7719003	1982-1999 –> 2000-2012	1.0458716	1426.21195
SO	(28.1,28.15]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	395	0.5327331	635.47105	1.7898122	1982-1999 –> 2000-2012	1.0409839	1420.79985
SO	(28.1,28.15]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	209	0.5645593	366.14158	2.4359359	2000-2012 –> 2013-2019	1.1288045	1047.01255
SO	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + silicate	209	0.5898944	384.49099	2.1234915	2000-2012 –> 2013-2019	1.1187509	1014.19227
SO	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	209	0.5031920	320.04079	2.0966657	2000-2012 –> 2013-2019	0.9861773	880.06473
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate	209	0.5947205	387.89687	2.0550246	2000-2012 –> 2013-2019	1.1275331	1023.48580
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	209	0.5007130	317.97647	2.3778112	2000-2012 –> 2013-2019	0.9699983	855.26781
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate_star	209	0.5573440	360.76494	2.1406620	2000-2012 –> 2013-2019	1.0676684	962.28649
SO	(28.1,28.15]	cstar_tref ~ sal + nitrate + silicate	209	0.5959435	386.75558	2.1254530	2000-2012 –> 2013-2019	1.1250271	1014.79610
SO	(28.1,28.15]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	209	0.5768634	375.15368	2.1192378	2000-2012 –> 2013-2019	1.1048061	1003.48878
SO	(28.1,28.15]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	209	0.5801013	377.49337	2.0663335	2000-2012 –> 2013-2019	1.1128345	1012.96442
SO	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate	209	0.5655411	366.86788	2.4448499	2000-2012 –> 2013-2019	1.1302331	1048.36424
SO	(28.15,28.2]	cstar_tref ~ aou + phosphate + phosphate_star	385	0.3337494	257.61179	1.5375214	1982-1999 –> 2000-2012	0.6649938	575.99870
SO	(28.15,28.2]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	385	0.3186320	223.91951	1.3282719	1982-1999 –> 2000-2012	0.6495367	543.29873
SO	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate	385	0.3498927	295.98359	1.0633255	1982-1999 –> 2000-2012	0.7201468	725.69965
SO	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	385	0.3228981	236.16052	0.9647628	1982-1999 –> 2000-2012	0.6719043	609.84050
SO	(28.15,28.2]	cstar_tref ~ sal + aou + phosphate + phosphate_star	385	0.3332320	258.41704	1.5508647	1982-1999 –> 2000-2012	0.6505668	536.67727
SO	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate	385	0.3457214	286.74866	1.0127481	1982-1999 –> 2000-2012	0.7038152	683.67137
SO	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	385	0.3060639	194.93245	1.0624911	1982-1999 –> 2000-2012	0.6130546	442.64918
SO	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + silicate	385	0.3392932	272.29697	1.4068338	1982-1999 –> 2000-2012	0.7177886	723.63103
SO	(28.15,28.2]	cstar_tref ~ temp + aou + phosphate	385	0.3363934	263.68777	1.5451006	1982-1999 –> 2000-2012	0.6676670	582.16135
SO	(28.15,28.2]	cstar_tref ~ temp + aou + silicate + phosphate	385	0.3192816	225.48758	1.3226970	1982-1999 –> 2000-2012	0.6504156	545.54736
SO	(28.15,28.2]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	183	0.3459452	142.83170	0.8221319	2000-2012 –> 2013-2019	0.6645772	366.75122
SO	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate	183	0.3811903	178.34039	1.0699334	2000-2012 –> 2013-2019	0.7310830	474.32397
SO	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	183	0.3493139	148.37846	0.8235634	2000-2012 –> 2013-2019	0.6722121	384.53898
SO	(28.15,28.2]	cstar_tref ~ sal + aou + phosphate + phosphate_star	183	0.3827365	179.82202	0.9864942	2000-2012 –> 2013-2019	0.7159685	438.23906
SO	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate	183	0.3784988	175.74695	1.0732406	2000-2012 –> 2013-2019	0.7242201	462.49561
SO	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	183	0.3423788	141.03894	0.8031784	2000-2012 –> 2013-2019	0.6484427	335.97138
SO	(28.15,28.2]	cstar_tref ~ sal + silicate + phosphate	183	0.3793127	174.53321	1.0551904	2000-2012 –> 2013-2019	0.7289294	467.90909
SO	(28.15,28.2]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	183	0.3784587	175.70819	1.0558421	2000-2012 –> 2013-2019	0.7280314	470.98717
SO	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + silicate	183	0.3545756	151.85033	0.8591614	2000-2012 –> 2013-2019	0.6938688	424.14730
SO	(28.15,28.2]	cstar_tref ~ temp + aou + silicate + phosphate	183	0.3467678	143.70096	0.8235729	2000-2012 –> 2013-2019	0.6660494	369.18854
SO	(28.2, Inf]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1738	0.5594805	2925.55507	2.9060424	1982-1999 –> 2000-2012	0.9726353	5582.62292
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	1738	0.3752615	1535.29080	2.0011297	1982-1999 –> 2000-2012	0.6790183	2669.60844
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1738	0.3665194	1455.35540	1.8883521	1982-1999 –> 2000-2012	0.6702525	2591.28860
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	1738	0.3672295	1462.08384	1.9673041	1982-1999 –> 2000-2012	0.6709769	2598.24970
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1738	0.3664835	1457.01519	1.8977416	1982-1999 –> 2000-2012	0.6701959	2594.61023
SO	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate	1738	0.4079366	1827.49774	1.6373659	1982-1999 –> 2000-2012	0.7531403	3596.18936
SO	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1738	0.3918565	1689.70630	2.1137168	1982-1999 –> 2000-2012	0.7169227	3163.23502
SO	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate_star	1738	0.5139211	2630.30740	3.4473047	1982-1999 –> 2000-2012	0.9446935	5493.82389
SO	(28.2, Inf]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1738	0.4390561	2083.03693	2.8926977	1982-1999 –> 2000-2012	0.8120216	4234.15304
SO	(28.2, Inf]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1738	0.4338139	2041.28508	2.8272800	1982-1999 –> 2000-2012	0.8013633	4120.07926
SO	(28.2, Inf]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1005	0.6891682	2115.80391	4.2055540	2000-2012 –> 2013-2019	1.2486487	5041.35898
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	1005	0.4164558	1101.35671	2.5953775	2000-2012 –> 2013-2019	0.7917173	2636.64751
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1005	0.3988626	1016.59855	2.4052531	2000-2012 –> 2013-2019	0.7653820	2471.95394
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	1005	0.3952080	998.09668	2.5161713	2000-2012 –> 2013-2019	0.7624375	2460.18052
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1005	0.3950006	999.04168	2.5557103	2000-2012 –> 2013-2019	0.7614841	2456.05686
SO	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate	1005	0.4551207	1281.80919	2.1633223	2000-2012 –> 2013-2019	0.8630573	3109.30694
SO	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1005	0.4243307	1143.00962	2.6684674	2000-2012 –> 2013-2019	0.8161872	2832.71592
SO	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate_star	1005	0.5219075	1557.03404	3.5797836	2000-2012 –> 2013-2019	1.0358286	4187.34144
SO	(28.2, Inf]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1005	0.4456852	1239.70004	3.1242713	2000-2012 –> 2013-2019	0.8847412	3322.73697
SO	(28.2, Inf]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1005	0.4467609	1244.54555	3.0434845	2000-2012 –> 2013-2019	0.8805748	3285.83063

5.3.2 per fitting unit

lm_best %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2012	3.2800343	1418.852490
Atlantic	(-Inf,26]	2000-2012 –> 2013-2019	3.2302484	885.646444
Atlantic	(26,26.5]	1982-1999 –> 2000-2012	8.9970041	14915.042639
Atlantic	(26,26.5]	2000-2012 –> 2013-2019	8.9051727	9353.969553
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2012	6.9189695	16973.205077
Atlantic	(26.5,26.75]	2000-2012 –> 2013-2019	7.2112057	10855.437074
Atlantic	(26.75,27]	1982-1999 –> 2000-2012	4.6765971	21779.009531
Atlantic	(26.75,27]	2000-2012 –> 2013-2019	5.5353550	15611.646452
Atlantic	(27,27.25]	1982-1999 –> 2000-2012	4.2690357	17150.596321
Atlantic	(27,27.25]	2000-2012 –> 2013-2019	4.7413799	12233.919056
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2012	4.7496874	17578.960340
Atlantic	(27.25,27.5]	2000-2012 –> 2013-2019	5.5209331	12124.889840
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2012	5.0775939	22889.216846
Atlantic	(27.5,27.75]	2000-2012 –> 2013-2019	5.4767193	15390.534813
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2012	3.5493723	6725.010562
Atlantic	(27.75,27.85]	2000-2012 –> 2013-2019	3.5895312	4346.648229
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2012	6.1183600	8428.653437
Atlantic	(27.85,27.95]	2000-2012 –> 2013-2019	6.2562253	5676.987035
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2012	8.2834882	9758.172221
Atlantic	(27.95,28.05]	2000-2012 –> 2013-2019	7.2977483	6039.267806
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2012	0.4933737	-225.529680
Atlantic	(28.05,28.1]	2000-2012 –> 2013-2019	0.6654905	328.278487
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2012	0.4475200	-339.672932
Atlantic	(28.1,28.15]	2000-2012 –> 2013-2019	0.5113836	-0.614619
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2012	0.5154091	234.486485
Atlantic	(28.15,28.2]	2000-2012 –> 2013-2019	0.5852829	87.843625
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2012	0.6078179	792.006435
Atlantic	(28.2, Inf]	2000-2012 –> 2013-2019	0.6096090	268.832568
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2012	16.1906184	87478.165528
Indo-Pacific	(-Inf,26]	2000-2012 –> 2013-2019	15.6481922	56289.668619
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2012	11.0683717	81157.950458
Indo-Pacific	(26,26.5]	2000-2012 –> 2013-2019	11.3311901	52225.414104
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2012	8.6856307	58791.182986
Indo-Pacific	(26.5,26.75]	2000-2012 –> 2013-2019	9.2174284	38671.303120
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2012	9.2061877	64375.709716
Indo-Pacific	(26.75,27]	2000-2012 –> 2013-2019	10.1729090	42528.147380
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2012	8.3722597	56775.588946
Indo-Pacific	(27,27.25]	2000-2012 –> 2013-2019	9.9601803	39636.456925
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2012	6.2783942	42136.818763
Indo-Pacific	(27.25,27.5]	2000-2012 –> 2013-2019	7.0572143	28640.139180
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2012	3.6899542	30940.826608
Indo-Pacific	(27.5,27.75]	2000-2012 –> 2013-2019	4.3016422	20956.662750
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2012	2.8239895	10215.415285
Indo-Pacific	(27.75,27.85]	2000-2012 –> 2013-2019	3.1184533	7067.319795
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2012	2.7202813	14882.912207
Indo-Pacific	(27.85,27.95]	2000-2012 –> 2013-2019	3.1003216	10214.732797
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2012	1.3392132	5884.116476
Indo-Pacific	(27.95,28.05]	2000-2012 –> 2013-2019	1.3891248	3819.259327
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2012	1.0287546	3815.323634
Indo-Pacific	(28.05,28.1]	2000-2012 –> 2013-2019	1.0411087	2417.693089
Indo-Pacific	(28.1, Inf]	1982-1999 –> 2000-2012	1.8463210	59407.942928
Indo-Pacific	(28.1, Inf]	2000-2012 –> 2013-2019	1.8158117	38018.622754
SO	(26,26.5]	1982-1999 –> 2000-2012	6.7645279	1250.208603
SO	(26,26.5]	2000-2012 –> 2013-2019	6.3473002	788.107532
SO	(26.5,26.75]	1982-1999 –> 2000-2012	7.0616799	3954.898555
SO	(26.5,26.75]	2000-2012 –> 2013-2019	6.5708073	2350.628307
SO	(26.75,27]	1982-1999 –> 2000-2012	6.6527814	13517.196417
SO	(26.75,27]	2000-2012 –> 2013-2019	6.6489524	8454.649599
SO	(27,27.25]	1982-1999 –> 2000-2012	4.7250652	27001.923560
SO	(27,27.25]	2000-2012 –> 2013-2019	4.9694081	17562.149618
SO	(27.25,27.5]	1982-1999 –> 2000-2012	3.2640831	24779.115222
SO	(27.25,27.5]	2000-2012 –> 2013-2019	3.6805430	16852.381265
SO	(27.5,27.75]	1982-1999 –> 2000-2012	2.8242399	27757.944567
SO	(27.5,27.75]	2000-2012 –> 2013-2019	3.2833142	19744.264139
SO	(27.75,27.85]	1982-1999 –> 2000-2012	2.8134241	11281.087027
SO	(27.75,27.85]	2000-2012 –> 2013-2019	3.1105740	7913.849912
SO	(27.85,27.95]	1982-1999 –> 2000-2012	3.0282555	11946.713371
SO	(27.85,27.95]	2000-2012 –> 2013-2019	3.1546765	7859.224595
SO	(27.95,28.05]	1982-1999 –> 2000-2012	3.3801349	16530.114380
SO	(27.95,28.05]	2000-2012 –> 2013-2019	3.6640779	11177.325909
SO	(28.05,28.1]	1982-1999 –> 2000-2012	2.4004846	8258.787973
SO	(28.05,28.1]	2000-2012 –> 2013-2019	2.7138252	5714.616163
SO	(28.1, Inf]	1982-1999 –> 2000-2012	2.1449080	37457.676081
SO	(28.1, Inf]	2000-2012 –> 2013-2019	2.3687949	25262.718147
SO	(28.1,28.15]	1982-1999 –> 2000-2012	1.0089562	1359.899401
SO	(28.1,28.15]	2000-2012 –> 2013-2019	1.0871833	986.192320
SO	(28.15,28.2]	1982-1999 –> 2000-2012	0.6709889	596.917514
SO	(28.15,28.2]	2000-2012 –> 2013-2019	0.6973383	419.455231
SO	(28.2, Inf]	1982-1999 –> 2000-2012	0.7691220	3664.386045
SO	(28.2, Inf]	2000-2012 –> 2013-2019	0.8810059	3180.412972

5.4 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.5 Plot selected model residuals

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

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

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

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

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

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

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

5.6 Cant coeffcients

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

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

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

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

5.7 Write files

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

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

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 - 8).

6.1.1 All models

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

Past versions of eMLR_predictor_model_quality_all-1.png

Version	Author	Date
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
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
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

6.1.2 Best models

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

Past versions of eMLR_predictor_model_quality_best-1.png

Version	Author	Date
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

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)

Past versions of rmse_correlation_across_eras_all_models-1.png

Version	Author	Date
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

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)

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
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 --> 2000-2012
(-Inf,26]	8	5	3	7	10	7	0
(26,26.5]	10	7	3	5	5	7	3
(26.5,26.75]	8	3	6	8	8	8	1
(26.75,27]	8	3	6	8	8	8	1
(27,27.25]	10	3	6	6	7	7	2
(27.25,27.5]	10	7	3	5	7	6	2
(27.5,27.75]	8	5	5	6	10	6	0
(27.75,27.85]	10	5	5	5	8	6	1
(27.85,27.95]	10	6	4	7	4	6	3
(27.95,28.05]	10	2	7	4	3	6	5
(28.05,28.1]	10	3	7	5	4	6	4
(28.1,28.15]	10	5	5	5	6	6	3
(28.15,28.2]	10	9	1	5	5	6	2
(28.2, Inf]	10	10	0	4	4	5	2
total	132.00	73.00	61.00	80.00	89.00	90.00	29.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26]	8	5	3	7	10	7	0
(26,26.5]	10	7	3	5	5	7	3
(26.5,26.75]	8	4	5	7	7	9	2
(26.75,27]	8	4	5	7	7	9	2
(27,27.25]	8	5	4	7	9	8	1
(27.25,27.5]	10	7	3	5	7	6	2
(27.5,27.75]	8	4	5	7	10	7	0
(27.75,27.85]	10	6	4	5	8	6	1
(27.85,27.95]	10	6	4	7	4	6	3
(27.95,28.05]	10	2	8	4	4	5	4
(28.05,28.1]	10	3	7	5	4	6	4
(28.1,28.15]	10	4	6	6	5	6	3
(28.15,28.2]	10	8	2	5	6	7	1
(28.2, Inf]	10	9	1	5	5	6	2
total	130.00	74.00	60.00	82.00	91.00	95.00	28.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26]	9	2	7	4	2	6	6
(26,26.5]	10	1	8	6	6	6	2
(26.5,26.75]	9	1	9	6	6	6	2
(26.75,27]	8	0	10	6	6	5	2
(27,27.25]	9	1	9	6	6	6	2
(27.25,27.5]	8	2	7	7	5	10	1
(27.5,27.75]	8	2	7	7	5	10	1
(27.75,27.85]	8	3	5	8	6	10	1
(27.85,27.95]	7	4	4	4	2	10	6
(27.95,28.05]	9	2	7	7	6	7	2
(28.05,28.1]	7	2	6	8	8	9	1
(28.1, Inf]	8	5	5	5	5	10	3
total	100.00	25.00	84.00	74.00	63.00	95.00	29.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26]	8	2	7	4	2	7	6
(26,26.5]	10	1	8	6	6	6	2
(26.5,26.75]	9	1	9	6	6	6	2
(26.75,27]	8	0	10	6	6	5	2
(27,27.25]	9	1	9	6	6	6	2
(27.25,27.5]	8	2	7	7	5	10	1
(27.5,27.75]	8	2	6	8	5	10	1
(27.75,27.85]	7	2	6	8	4	10	2
(27.85,27.95]	7	4	4	4	2	10	6
(27.95,28.05]	8	3	6	7	8	9	1
(28.05,28.1]	7	2	6	8	8	9	1
(28.1, Inf]	9	6	4	4	4	10	3
total	98.00	26.00	82.00	74.00	62.00	98.00	29.00
SO - 1982-1999 --> 2000-2012
(26,26.5]	9	4	6	8	5	6	2
(26.5,26.75]	10	4	6	8	4	5	2
(26.75,27]	9	0	10	5	5	6	2
(27,27.25]	10	2	8	4	3	6	4
(27.25,27.5]	10	3	7	5	4	6	4
(27.5,27.75]	10	4	6	5	6	8	2
(27.75,27.85]	10	4	6	6	5	8	2
(27.85,27.95]	10	4	6	6	3	6	4
(27.95,28.05]	10	5	4	8	5	7	2
(28.05,28.1]	7	3	5	9	9	8	0
(28.1, Inf]	6	4	4	5	10	10	0
(28.1,28.15]	6	4	4	5	10	10	0
(28.15,28.2]	10	3	7	5	5	7	3
(28.2, Inf]	8	6	3	7	9	8	0
total	125.00	50.00	82.00	86.00	83.00	101.00	27.00
SO - 2000-2012 --> 2013-2019
(26,26.5]	9	4	6	8	5	6	2
(26.5,26.75]	9	5	5	8	5	6	2
(26.75,27]	9	0	10	5	5	6	2
(27,27.25]	10	3	7	5	4	6	4
(27.25,27.5]	10	3	7	5	4	6	4
(27.5,27.75]	8	5	5	6	8	8	1
(27.75,27.85]	10	4	6	5	6	8	2
(27.85,27.95]	10	3	5	7	4	8	3
(27.95,28.05]	10	6	4	7	4	6	3
(28.05,28.1]	8	4	5	8	7	8	2
(28.1, Inf]	5	4	4	6	10	10	0
(28.1,28.15]	7	4	5	6	8	10	1
(28.15,28.2]	8	3	7	5	7	9	2
(28.2, Inf]	8	6	3	7	9	8	0
total	121.00	54.00	79.00	88.00	86.00	105.00	28.00

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)

Past versions of aic_vs_rmse_all_models-1.png

Version	Author	Date
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)

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
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

Session information

sessionInfo()

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

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