eMLR - model fitting

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Last updated: 2021-02-07

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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, aou, nitrate, silicate, phosphate, phosphate_star

# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 6

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:

• 88

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)[15]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      if (nrow(GLODAP_basin_era_slab) > 2) {
        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) %>%
            dplyr::select(lm_coeff) %>%
            pull()
          
          # extract number of predictors
          i_n_predictors <- lm_all %>%
            filter(predictors == i_predictors) %>%
            dplyr::select(n) %>%
            pull()
          
          # fit model
          if (params_local$MLR_type == "rlm") {
          library(MASS)
          i_lm_fit <- 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 %>%
            dplyr::select(!!!syms(str_split(i_predictors, " ",
                                            simplify = TRUE))) %>%
            correlate(quiet = TRUE) %>%
            dplyr::select(-term) %>%
            abs() %>%
            max(na.rm = TRUE)
          
          # calculate root mean squared error
          i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                           length(i_lm_fit$residuals))
          
          # calculate maximum residual
          i_resid_max <- max(abs(i_lm_fit$residuals))
          
          # calculate Akaike information criterion aic
          i_aic <- AIC(i_lm_fit)
          
          # collect model coefficients and diagnostics
          coefficients <- tidy(i_lm_fit)
          
          coefficients <- coefficients %>%
            mutate(
              basin = i_basin,
              era = i_era,
              gamma_slab = i_gamma_slab,
              model = i_lm,
              rmse = i_rmse,
              aic = i_aic,
              resid_max = i_resid_max,
              n_predictors = i_n_predictors,
              na_predictor = anyNA(coefficients$estimate),
              cor_max = i_cor_max
            )
          
          if (exists("lm_all_fitted")) {
            lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
          }
          
          if (!exists("lm_all_fitted")) {
            lm_all_fitted <- coefficients
          }
        }
        
        
      }
    }
  }
}

rm(
  i_lm_fit,
  coefficients,
  i_rmse,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  i_lm,
  i_basin,
  i_era,
  i_gamma_slab,
  i_predictors,
  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 %>%
  dplyr::select(
    basin,
    gamma_slab,
    era,
    model,
    n_predictors,
    term,
    estimate,
    rmse,
    aic,
    resid_max,
    na_predictor,
    cor_max
  )

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

# remove models with predictors fitted as NA

lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(na_predictor == FALSE)

# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide  %>%
  dplyr::select(basin, gamma_slab, model, era, rmse, aic, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    aic_sum = aic + lag(aic)
  ) %>%
  ungroup() %>%
  dplyr::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	rmse	aic	resid_max	eras	rmse_sum	aic_sum
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.3638071	423.55403	4.4283361	1982-1999 –> 2000-2012	2.7231087	1156.98425
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.3636465	425.52601	4.4922859	1982-1999 –> 2000-2012	2.7191247	1159.77882
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.3802669	428.40927	4.5549122	1982-1999 –> 2000-2012	2.7419291	1164.56474
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.3779975	430.01763	4.5126354	1982-1999 –> 2000-2012	2.6890507	1152.34120
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	1.3768938	425.82693	4.4581399	1982-1999 –> 2000-2012	2.7394384	1160.25321
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.3418670	421.69411	4.3785458	1982-1999 –> 2000-2012	2.7007540	1156.99681
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate_star	1.3804052	426.43311	4.4915042	1982-1999 –> 2000-2012	2.7438487	1161.13506
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3768691	427.82266	4.4329407	1982-1999 –> 2000-2012	2.7362549	1163.27875
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.3374966	422.91770	4.7213893	1982-1999 –> 2000-2012	2.6921968	1158.93049
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.3802012	428.39794	4.4188624	1982-1999 –> 2000-2012	2.7407403	1164.20852
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.4054885	282.93582	3.9251123	2000-2012 –> 2013-2019	2.7692956	706.48985
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.2649628	268.71311	3.2429425	2000-2012 –> 2013-2019	2.6286093	694.23912
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.3142537	274.59996	3.5232118	2000-2012 –> 2013-2019	2.6945206	703.00923
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.2650158	270.71956	3.4732583	2000-2012 –> 2013-2019	2.6430132	700.73719
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.4035041	284.71823	4.1934514	2000-2012 –> 2013-2019	2.7453711	706.41234
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.2633116	268.51196	3.2216456	2000-2012 –> 2013-2019	2.6401807	696.33462
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.2631329	270.49017	3.2095232	2000-2012 –> 2013-2019	2.6006295	693.40787
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.2651521	268.73616	3.4086270	2000-2012 –> 2013-2019	2.6453533	697.13410
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.2701060	269.33798	3.2846073	2000-2012 –> 2013-2019	2.7091668	707.67515
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.2649436	268.71077	3.3919866	2000-2012 –> 2013-2019	2.6483285	697.65707
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.7628406	5288.18460	11.3375828	1982-1999 –> 2000-2012	7.2078157	12483.61709
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.7564758	5284.93080	10.9732242	1982-1999 –> 2000-2012	7.3149139	12567.98652
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	3.8388894	5326.64177	13.1135976	1982-1999 –> 2000-2012	7.5975826	12757.74052
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	3.7494434	5283.32928	11.3573612	1982-1999 –> 2000-2012	7.2599472	12531.71292
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.8831707	5348.68501	14.5311740	1982-1999 –> 2000-2012	7.3879064	12590.62207
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.6661187	5240.13449	12.9246497	1982-1999 –> 2000-2012	7.0863842	12418.10225
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.9072440	5360.56347	15.3378774	1982-1999 –> 2000-2012	7.4211930	12609.59949
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.9513993	5382.16194	15.7450319	1982-1999 –> 2000-2012	7.4837437	12645.31643
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.9112285	5362.52250	15.4201430	1982-1999 –> 2000-2012	7.4283037	12613.96304
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	4.0273188	5416.73969	13.3291126	1982-1999 –> 2000-2012	7.8110581	12863.79677
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.8929192	2886.55316	14.0342310	2000-2012 –> 2013-2019	7.6557598	8174.73776
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.7842484	2857.27853	14.0486463	2000-2012 –> 2013-2019	7.5407242	8142.20933
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	3.6949993	2832.60015	13.5177254	2000-2012 –> 2013-2019	7.5338887	8159.24192
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	3.6939506	2834.30664	13.4555920	2000-2012 –> 2013-2019	7.4433940	8117.63592
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.9935719	2912.94780	14.5586230	2000-2012 –> 2013-2019	7.8767425	8261.63281
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.7731880	2856.25199	13.2603108	2000-2012 –> 2013-2019	7.4393066	8096.38648
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.0072975	2916.49549	14.9495014	2000-2012 –> 2013-2019	7.9145415	8277.05896
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.9677390	2906.23754	14.3154329	2000-2012 –> 2013-2019	7.9191383	8288.39948
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.0057160	2916.08735	14.8955511	2000-2012 –> 2013-2019	7.9169446	8278.60985
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	4.0401969	2922.94984	15.7279649	2000-2012 –> 2013-2019	8.0675157	8339.68953
Atlantic	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3.2896956	6567.65077	16.4096691	1982-1999 –> 2000-2012	7.0403453	15887.63711
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.2571368	6544.66509	17.4967787	1982-1999 –> 2000-2012	7.0071100	15866.03893
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	3.2649377	6552.67422	16.8569169	1982-1999 –> 2000-2012	6.9522860	15818.85562
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.2738114	6557.49226	18.0106959	1982-1999 –> 2000-2012	7.0696165	15920.12015
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.2277706	6523.91427	15.9335715	1982-1999 –> 2000-2012	6.9010213	15777.08714
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.2894706	6569.47891	18.3245129	1982-1999 –> 2000-2012	7.1121130	15956.03288
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.2944309	6573.26397	18.4092841	1982-1999 –> 2000-2012	7.1251528	15966.98815
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.3083487	6583.85395	15.2542048	1982-1999 –> 2000-2012	6.9957282	15848.06404
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	3.3385662	6604.69367	16.8014617	1982-1999 –> 2000-2012	7.1388330	15969.31095
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.2354474	6527.88165	15.1116310	1982-1999 –> 2000-2012	6.9267294	15795.68403
Atlantic	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3.9607027	3763.37311	13.9189040	2000-2012 –> 2013-2019	7.2503983	10331.02387
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate	4.0142366	3781.39044	14.8052599	2000-2012 –> 2013-2019	7.3512284	10384.89926
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.9437707	3759.62376	14.3643903	2000-2012 –> 2013-2019	7.2009075	10304.28885
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	3.9207045	3753.75169	13.4037610	2000-2012 –> 2013-2019	7.1856423	10306.42591
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.9718753	3769.15338	14.7618185	2000-2012 –> 2013-2019	7.2456867	10326.64565
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.8071805	3714.32039	12.7923905	2000-2012 –> 2013-2019	7.0349510	10238.23466
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.9957853	3777.20777	15.0114685	2000-2012 –> 2013-2019	7.2852559	10346.68668
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.0015532	3779.14353	15.0604572	2000-2012 –> 2013-2019	7.2959840	10352.40750
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.9502718	3761.83415	12.7862839	2000-2012 –> 2013-2019	7.2586205	10345.68810
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.8098123	3713.24778	12.7062448	2000-2012 –> 2013-2019	7.0452597	10241.12943
Atlantic	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2.1144549	9311.58571	16.8150352	1982-1999 –> 2000-2012	3.9607653	20675.05162
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.0674038	9217.04595	16.4678092	1982-1999 –> 2000-2012	3.8697594	20447.91841
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.1270874	9341.13941	14.1479243	1982-1999 –> 2000-2012	3.9978883	20782.21384
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.1240860	9333.08170	16.6465660	1982-1999 –> 2000-2012	3.9816674	20732.54428
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.9281607	8919.91689	15.8952049	1982-1999 –> 2000-2012	3.6751387	19978.46663
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1639482	9412.84494	16.8576835	1982-1999 –> 2000-2012	4.0651256	20941.89188
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.1799332	9444.41851	16.9171523	1982-1999 –> 2000-2012	4.0982392	21023.56699
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.1939659	9471.94568	13.7137680	1982-1999 –> 2000-2012	4.1337973	21113.42590
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	2.2357799	9550.93787	17.5492900	1982-1999 –> 2000-2012	4.1868759	21222.76213
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.9507540	8967.89271	18.6204117	1982-1999 –> 2000-2012	3.7278859	20120.03788
Atlantic	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2.5206878	5486.34670	14.9695607	2000-2012 –> 2013-2019	4.6351427	14797.93240
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	2.3630156	5335.45702	12.8443570	2000-2012 –> 2013-2019	4.5624151	14816.01417
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.3488584	5323.41951	13.2797643	2000-2012 –> 2013-2019	4.4162622	14540.46547
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.3729934	5349.29996	12.7925704	2000-2012 –> 2013-2019	4.5000808	14690.43937
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.3596927	5334.16981	13.1100755	2000-2012 –> 2013-2019	4.4837787	14667.25151
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.2631200	5238.55536	11.8223308	2000-2012 –> 2013-2019	4.1912808	14158.47225
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.3847969	5358.89059	13.2739528	2000-2012 –> 2013-2019	4.5487450	14771.73553
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.3941428	5368.02739	13.3139040	2000-2012 –> 2013-2019	4.5740760	14812.44590
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.5882103	5550.09844	14.4123879	2000-2012 –> 2013-2019	4.7821761	15022.04412
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.3854413	5359.52173	13.5513600	2000-2012 –> 2013-2019	4.3361952	14327.41444
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.0682633	7849.90573	10.7669065	1982-1999 –> 2000-2012	3.9167178	18217.41032
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	2.0435939	7804.08434	14.4479235	1982-1999 –> 2000-2012	3.5308801	17062.60456
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.0386990	7797.32640	14.7223520	1982-1999 –> 2000-2012	3.4258901	16703.07597
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.8997392	7541.51250	8.3997008	1982-1999 –> 2000-2012	3.2611992	16353.92329
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.0424220	7803.98955	14.5801203	1982-1999 –> 2000-2012	3.4506473	16786.37031
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.9917501	7714.24150	14.7368831	1982-1999 –> 2000-2012	3.3469005	16502.99868
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.0621160	7839.03507	14.5678114	1982-1999 –> 2000-2012	3.5029894	16938.12029
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.0674613	7848.48935	14.5590251	1982-1999 –> 2000-2012	3.5191192	16985.54483
Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.1365067	7968.46000	16.5166365	1982-1999 –> 2000-2012	3.8400212	17920.17023
Atlantic	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.3176418	8265.65287	16.9239274	1982-1999 –> 2000-2012	3.9638455	18043.10640
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.2669951	4502.21186	10.3849498	2000-2012 –> 2013-2019	4.3352584	12352.11759
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	2.3852971	4602.25397	13.8699421	2000-2012 –> 2013-2019	4.4288909	12406.33831
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.3630967	4585.49642	13.1963695	2000-2012 –> 2013-2019	4.4017957	12382.82281
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate_star	2.3685485	4588.11898	12.9739556	2000-2012 –> 2013-2019	4.5175364	12575.85161
Atlantic	(27,27.25]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2.3793155	4597.21723	12.7729726	2000-2012 –> 2013-2019	4.5707731	12656.41915
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.2500255	4489.13941	9.5796022	2000-2012 –> 2013-2019	4.1497646	12030.65191
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.3534248	4577.26919	13.0320655	2000-2012 –> 2013-2019	4.3958468	12381.25874
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.3306002	4559.71913	12.9444306	2000-2012 –> 2013-2019	4.3223503	12273.96063
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.3666942	4588.54793	13.1119369	2000-2012 –> 2013-2019	4.4288102	12427.58300
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.3702237	4591.53724	13.1082227	2000-2012 –> 2013-2019	4.4376849	12440.02659
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.7141134	8518.42682	18.2217913	1982-1999 –> 2000-2012	4.6192019	18783.73089
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate	2.4826681	8202.86215	15.4630874	1982-1999 –> 2000-2012	4.6372773	19077.63221
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.2506833	7859.74654	11.7784240	1982-1999 –> 2000-2012	3.8562922	17275.39640
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.3716564	8043.93057	13.8422521	1982-1999 –> 2000-2012	4.2067030	18123.14014
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.2505145	7861.48261	11.8256392	1982-1999 –> 2000-2012	3.8552947	17276.56769
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.7163768	8521.35945	18.4339523	1982-1999 –> 2000-2012	4.6387543	18831.54556
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.7139231	8520.18017	18.1737139	1982-1999 –> 2000-2012	4.6180813	18785.05759
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + phosphate_star	2.5920191	8354.49967	14.5541445	1982-1999 –> 2000-2012	4.3555776	18234.29986
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	2.5539171	8302.40216	14.3658361	1982-1999 –> 2000-2012	4.3899328	18382.23482
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.5538658	8304.33147	14.3950791	1982-1999 –> 2000-2012	4.2816260	18084.24905
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate	2.7452379	4649.02001	15.3946796	2000-2012 –> 2013-2019	5.5168707	13237.22374
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + phosphate_star	2.7153537	4630.11401	15.6930546	2000-2012 –> 2013-2019	5.3859285	13089.64919
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate	2.6878637	4610.67882	12.8973612	2000-2012 –> 2013-2019	5.2957820	12986.69163
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.6870035	4612.06750	13.2079246	2000-2012 –> 2013-2019	5.2891445	12982.27823
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate	2.7028398	4621.29135	15.0226833	2000-2012 –> 2013-2019	5.1855079	12824.15350
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.6447447	4581.78998	15.3276233	2000-2012 –> 2013-2019	4.8954281	12441.53652
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.6572829	4590.82353	12.8447541	2000-2012 –> 2013-2019	5.0289394	12634.75411
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.6408137	4580.94895	14.3570627	2000-2012 –> 2013-2019	4.8913282	12442.43156
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	3.1456553	4911.07505	13.3287450	2000-2012 –> 2013-2019	5.6995724	13213.47721
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.0323885	4843.03222	15.5672724	2000-2012 –> 2013-2019	5.5862543	13147.36369
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.9876601	8408.10410	15.9390463	1982-1999 –> 2000-2012	3.7393396	19444.03561
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.9525765	8339.12001	17.8633077	1982-1999 –> 2000-2012	3.6754718	19284.79624
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.9834959	8399.74459	15.8043360	1982-1999 –> 2000-2012	3.7532827	19492.93750
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate_star	1.9893095	8409.41042	15.9241022	1982-1999 –> 2000-2012	3.7597080	19502.52763
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.9499496	8333.75395	17.7269203	1982-1999 –> 2000-2012	3.6922015	19341.63721
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.9528629	8337.70469	17.8790203	1982-1999 –> 2000-2012	3.6955948	19345.12197
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + phosphate_star	1.9893455	8409.48241	15.9370852	1982-1999 –> 2000-2012	3.7659717	19522.15177
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.9528903	8337.76047	17.8850018	1982-1999 –> 2000-2012	3.7022054	19366.17163
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + phosphate + phosphate_star	1.9893337	8409.45876	15.9325158	1982-1999 –> 2000-2012	3.7594100	19501.56286
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.9528915	8337.76304	17.8851630	1982-1999 –> 2000-2012	3.6953389	19344.27136
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.3799529	5180.40346	14.1059693	2000-2012 –> 2013-2019	4.3676130	13588.50756
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.3473757	5151.25456	15.8730529	2000-2012 –> 2013-2019	4.2999522	13490.37457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.3740985	5174.83730	13.8742018	2000-2012 –> 2013-2019	4.3575945	13574.58189
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate_star	2.3896676	5187.60973	14.3833802	2000-2012 –> 2013-2019	4.3789771	13597.02015
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.3427834	5146.82880	15.6350540	2000-2012 –> 2013-2019	4.2927330	13480.58275
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.3547949	5156.38627	16.1730155	2000-2012 –> 2013-2019	4.3076578	13494.09096
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + phosphate_star	2.3946591	5192.32545	14.4892809	2000-2012 –> 2013-2019	4.3840045	13601.80786
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.3594151	5160.81615	16.2885657	2000-2012 –> 2013-2019	4.3123053	13498.57662
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + phosphate + phosphate_star	2.3915672	5189.40555	14.4285513	2000-2012 –> 2013-2019	4.3809009	13598.86431
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.3565330	5158.05382	16.2223714	2000-2012 –> 2013-2019	4.3094245	13495.81687
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2.2161217	3360.62220	12.8805782	1982-1999 –> 2000-2012	4.2209370	8020.27228
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.1312145	3303.55337	11.8717788	1982-1999 –> 2000-2012	4.0607502	7881.08037
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.0884004	3274.86946	11.8424723	1982-1999 –> 2000-2012	3.9987814	7832.46773
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.1835030	3340.20193	12.7164943	1982-1999 –> 2000-2012	4.1493501	7958.70807
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.1411702	3310.60005	11.8750181	1982-1999 –> 2000-2012	4.0813579	7900.22781
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.1026978	3285.18551	11.7513392	1982-1999 –> 2000-2012	4.0067795	7835.52403
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1604361	3324.14394	11.9273148	1982-1999 –> 2000-2012	4.1194292	7934.97332
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.1549960	3320.33180	11.8660221	1982-1999 –> 2000-2012	4.1091678	7925.74508
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.1616503	3324.99346	11.9321393	1982-1999 –> 2000-2012	4.1218562	7937.18326
Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.1616239	3324.97497	11.7962753	1982-1999 –> 2000-2012	4.1050144	7918.22810
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate	1.9646130	1624.56003	11.0873598	2000-2012 –> 2013-2019	4.1909498	4992.13573
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.9250530	1610.89686	11.1777569	2000-2012 –> 2013-2019	4.0562675	4914.45023
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.8950345	1600.79518	12.2171499	2000-2012 –> 2013-2019	3.9834349	4875.66464
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.0014561	1640.86639	12.0167513	2000-2012 –> 2013-2019	4.1849591	4981.06832
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.9316159	1613.51749	11.1768171	2000-2012 –> 2013-2019	4.0727861	4924.11754
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.8806262	1594.91838	11.0748835	2000-2012 –> 2013-2019	3.9833241	4880.10390
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.9516171	1621.44958	11.2141483	2000-2012 –> 2013-2019	4.1120532	4945.59352
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.9467736	1619.53620	11.1560035	2000-2012 –> 2013-2019	4.1017695	4939.86800
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.9527531	1621.89764	11.2180083	2000-2012 –> 2013-2019	4.1144034	4946.89110
Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.9661559	1627.16450	11.1045281	2000-2012 –> 2013-2019	4.1277797	4952.13947
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.2151592	3387.20727	21.4785697	1982-1999 –> 2000-2012	6.9328423	8471.87201
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	3.1308215	3354.54509	20.0357327	1982-1999 –> 2000-2012	6.6703535	8350.06882
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.2195921	3389.00394	21.5396430	1982-1999 –> 2000-2012	6.9372618	8473.66199
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.2123703	3388.07567	21.3780172	1982-1999 –> 2000-2012	6.9298631	8474.64540
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.2245363	3391.00491	21.5915289	1982-1999 –> 2000-2012	6.9433335	8476.22577
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.2063722	3383.63860	21.3936019	1982-1999 –> 2000-2012	6.9049907	8458.76110
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.2254898	3391.39046	21.6017712	1982-1999 –> 2000-2012	6.9445294	8476.73224
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.1391201	3355.99692	19.9845769	1982-1999 –> 2000-2012	6.6789101	8349.65594
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.2286157	3392.65358	21.5066688	1982-1999 –> 2000-2012	6.9470159	8477.67627
Atlantic	(27.85,27.95]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3.2117179	3383.81081	21.3292212	1982-1999 –> 2000-2012	6.9104430	8456.98685
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.0296843	1909.54772	20.8156211	2000-2012 –> 2013-2019	6.2448435	5296.75500
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.7538141	1839.94407	18.9385909	2000-2012 –> 2013-2019	5.8846356	5194.48916
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.0309278	1909.85547	20.8809382	2000-2012 –> 2013-2019	6.2505198	5298.85941
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.0289857	1911.37476	20.7183761	2000-2012 –> 2013-2019	6.2413560	5299.45043
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.0326885	1910.29105	20.9449502	2000-2012 –> 2013-2019	6.2572248	5301.29596
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.0103911	1904.75640	20.7926453	2000-2012 –> 2013-2019	6.2167633	5288.39500
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.0329937	1910.36652	20.9550558	2000-2012 –> 2013-2019	6.2584835	5301.75697
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.7665093	1841.39365	19.0028038	2000-2012 –> 2013-2019	5.9056294	5197.39058
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.0294887	1909.49930	20.6606437	2000-2012 –> 2013-2019	6.2581044	5302.15287
Atlantic	(27.85,27.95]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3.0229818	1905.88667	20.8632598	2000-2012 –> 2013-2019	6.2346997	5289.69748
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.8045999	3610.89277	25.2437937	1982-1999 –> 2000-2012	5.7502383	8738.38708
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.7006426	3557.44469	17.7360743	1982-1999 –> 2000-2012	5.5174975	8595.47349
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.6419355	3994.41418	15.1899916	1982-1999 –> 2000-2012	7.7976852	9826.07478
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.6195024	3987.34385	18.9892655	1982-1999 –> 2000-2012	7.6854467	9776.30584
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + phosphate_star	3.4812873	3926.18809	28.5432080	1982-1999 –> 2000-2012	7.4526840	9663.01144
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.4696206	3923.26018	30.8676062	1982-1999 –> 2000-2012	7.4020580	9641.91322
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + phosphate_star	2.8674157	3641.40934	23.9821335	1982-1999 –> 2000-2012	5.8414175	8786.51030
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.7006565	3555.45225	17.7461268	1982-1999 –> 2000-2012	5.5237418	8596.00145
Atlantic	(27.95,28.05]	cstar_tref ~ temp + nitrate + phosphate_star	3.4883352	3927.15710	28.0003328	1982-1999 –> 2000-2012	7.4767316	9670.71973
Atlantic	(27.95,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3.4873826	3928.75616	28.3912596	1982-1999 –> 2000-2012	7.4204403	9645.73192
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.2079249	1654.55582	17.1754449	2000-2012 –> 2013-2019	5.0125249	5265.44859
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.6253204	1429.24548	17.7886714	2000-2012 –> 2013-2019	4.3259630	4986.69017
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.7059856	2038.83474	15.4825157	2000-2012 –> 2013-2019	7.3479211	6033.24892
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.6889606	2037.41818	15.7531646	2000-2012 –> 2013-2019	7.3084630	6024.76203
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + phosphate_star	3.5736134	2009.84671	18.6496141	2000-2012 –> 2013-2019	7.0549007	5936.03480
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.5130399	1999.16184	19.0033544	2000-2012 –> 2013-2019	6.9826605	5922.42202
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + phosphate_star	2.3549206	1700.38060	16.2629443	2000-2012 –> 2013-2019	5.2223363	5341.78994
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.6289893	1428.91854	17.6973562	2000-2012 –> 2013-2019	4.3296458	4984.37079
Atlantic	(27.95,28.05]	cstar_tref ~ temp + nitrate + phosphate_star	3.5736166	2007.84736	18.6558890	2000-2012 –> 2013-2019	7.0619518	5935.00446
Atlantic	(27.95,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3.5277605	2000.26453	19.2924013	2000-2012 –> 2013-2019	7.0151432	5929.02069
Atlantic	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	0.1477371	-391.58658	0.7902700	1982-1999 –> 2000-2012	0.2939220	-961.13902
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.1210088	-552.83593	0.4907036	1982-1999 –> 2000-2012	0.2468317	-1293.48446
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.1301894	-491.01803	0.5285231	1982-1999 –> 2000-2012	0.2592127	-1200.68081
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.1256242	-522.21678	0.4975433	1982-1999 –> 2000-2012	0.2534330	-1244.79394
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.1042047	-673.13201	0.4337542	1982-1999 –> 2000-2012	0.2214956	-1492.81218
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.1311055	-487.28236	0.5247470	1982-1999 –> 2000-2012	0.2617579	-1184.46532
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.1307462	-489.52696	0.5294332	1982-1999 –> 2000-2012	0.2606648	-1193.20951
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.1312033	-486.67251	0.5244465	1982-1999 –> 2000-2012	0.2617634	-1184.67026
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.1343328	-469.38985	0.5909933	1982-1999 –> 2000-2012	0.2680506	-1141.81026
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.1067942	-655.05277	0.4432560	1982-1999 –> 2000-2012	0.2261343	-1456.74534
Atlantic	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	0.1719962	-136.14333	0.7153884	2000-2012 –> 2013-2019	0.3197334	-527.72991
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.1192487	-293.10076	0.5893991	2000-2012 –> 2013-2019	0.2402575	-845.93669
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.1179911	-295.70215	0.5949130	2000-2012 –> 2013-2019	0.2481805	-786.72018
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.1198306	-290.98820	0.5979588	2000-2012 –> 2013-2019	0.2454548	-813.20498
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.1179205	-295.96195	0.5656930	2000-2012 –> 2013-2019	0.2221252	-969.09396
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.1212919	-285.72774	0.6086563	2000-2012 –> 2013-2019	0.2523973	-773.01011
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.1189479	-294.19691	0.6131857	2000-2012 –> 2013-2019	0.2496941	-783.72388
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.1211861	-286.10637	0.6087382	2000-2012 –> 2013-2019	0.2523894	-772.77888
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.1306746	-255.39021	0.5128206	2000-2012 –> 2013-2019	0.2650074	-724.78006
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.1205182	-288.50479	0.5157633	2000-2012 –> 2013-2019	0.2273125	-943.55755
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.1856637	-303.85565	1.0501042	1982-1999 –> 2000-2012	0.3684614	-715.55849
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.1462218	-590.43043	0.5791654	1982-1999 –> 2000-2012	0.3077446	-1189.96097
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.1305447	-724.52094	0.6408946	1982-1999 –> 2000-2012	0.2729418	-1513.36016
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.1863181	-299.63361	1.0241429	1982-1999 –> 2000-2012	0.3694422	-708.62820
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.1841697	-311.55073	1.1359055	1982-1999 –> 2000-2012	0.3666644	-723.77237
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.1792358	-346.13708	0.7660562	1982-1999 –> 2000-2012	0.3543540	-822.99151
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + nitrate + phosphate_star	0.1620427	-469.14848	1.0465318	1982-1999 –> 2000-2012	0.3374000	-945.93043
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.1523291	-541.32839	0.8462439	1982-1999 –> 2000-2012	0.3122188	-1156.28445
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.1862512	-300.06456	0.9720727	1982-1999 –> 2000-2012	0.3694722	-708.25634
Atlantic	(28.1,28.15]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	0.1850378	-309.90810	0.8520184	1982-1999 –> 2000-2012	0.3639113	-756.55335
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.1079081	-470.52195	0.4886804	2000-2012 –> 2013-2019	0.3210311	-608.85882
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.1289768	-363.51035	0.7784213	2000-2012 –> 2013-2019	0.3146405	-667.36600
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.1285981	-365.27469	0.5784177	2000-2012 –> 2013-2019	0.2748199	-955.70512
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.0926983	-559.67983	0.4188784	2000-2012 –> 2013-2019	0.2232431	-1284.20077
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.1327885	-346.03533	0.8004139	2000-2012 –> 2013-2019	0.3191066	-645.66894
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.1114790	-448.98841	0.5250248	2000-2012 –> 2013-2019	0.2956487	-760.53913
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.1419750	-305.89960	0.6830005	2000-2012 –> 2013-2019	0.3212108	-652.03668
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + nitrate + phosphate_star	0.1323874	-349.85057	0.7485413	2000-2012 –> 2013-2019	0.2944301	-818.99905
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.1150598	-432.01860	0.7844711	2000-2012 –> 2013-2019	0.2673889	-973.34699
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.1358330	-332.43426	0.7020793	2000-2012 –> 2013-2019	0.3220842	-632.49882
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate	0.2067658	-356.97502	1.1215841	1982-1999 –> 2000-2012	0.4392854	-478.37404
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.1937185	-507.10710	0.9301837	1982-1999 –> 2000-2012	0.4246922	-648.50615
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate	0.2062234	-361.10558	1.1249630	1982-1999 –> 2000-2012	0.4323640	-572.24706
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.1399670	-1263.65546	0.6793611	1982-1999 –> 2000-2012	0.3136259	-2343.67973
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate	0.1905543	-545.54437	0.9672329	1982-1999 –> 2000-2012	0.4218819	-681.89442
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.1904900	-544.33198	0.9741278	1982-1999 –> 2000-2012	0.4214071	-684.53994
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.1553963	-1019.58484	0.7410565	1982-1999 –> 2000-2012	0.3517228	-1694.98985
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.1387555	-1281.94578	0.6700864	1982-1999 –> 2000-2012	0.3118582	-2370.55000
Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + phosphate_star	0.2316081	-90.15938	0.9733357	1982-1999 –> 2000-2012	0.4963905	218.96323
Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.1933738	-509.26301	0.8011848	1982-1999 –> 2000-2012	0.4118498	-832.12234
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate	0.2246267	-75.38479	1.1638056	2000-2012 –> 2013-2019	0.4313924	-432.35981
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.2244180	-74.45156	1.1699094	2000-2012 –> 2013-2019	0.4181365	-581.55866
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate	0.2158617	-119.07708	1.0385117	2000-2012 –> 2013-2019	0.4220851	-480.18266
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.1645291	-428.81746	0.8755753	2000-2012 –> 2013-2019	0.3044960	-1692.47292
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate	0.2245236	-73.91140	1.1542648	2000-2012 –> 2013-2019	0.4150780	-619.45577
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.2182421	-104.48696	1.0344976	2000-2012 –> 2013-2019	0.4087322	-648.81893
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.1978191	-217.28032	0.9886506	2000-2012 –> 2013-2019	0.3532154	-1236.86516
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.1573404	-478.10488	0.8089314	2000-2012 –> 2013-2019	0.2960959	-1760.05066
Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + phosphate_star	0.2456825	29.47626	1.2208786	2000-2012 –> 2013-2019	0.4772906	-60.68312
Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.2107618	-144.52494	1.0754262	2000-2012 –> 2013-2019	0.4041357	-653.78795
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	0.2027644	-323.74545	1.3236913	1982-1999 –> 2000-2012	0.4770194	20.90002
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.1612281	-754.52137	0.7013582	1982-1999 –> 2000-2012	0.3907603	-883.53202
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	0.1811854	-534.19076	0.8314641	1982-1999 –> 2000-2012	0.4255621	-495.75317
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.1540245	-838.81929	0.7940144	1982-1999 –> 2000-2012	0.3817040	-987.48419
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate	0.1737092	-613.74751	0.8205860	1982-1999 –> 2000-2012	0.4323648	-423.57692
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.1562692	-811.50230	0.7844382	1982-1999 –> 2000-2012	0.3548537	-1325.49576
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.1737076	-611.76551	0.8224647	1982-1999 –> 2000-2012	0.4175562	-577.10867
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.1499901	-886.93092	0.7869164	1982-1999 –> 2000-2012	0.3430181	-1474.75371
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate	0.1896512	-447.97397	1.0756693	1982-1999 –> 2000-2012	0.5289749	467.53040
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.1892035	-450.43634	1.1010920	1982-1999 –> 2000-2012	0.5263210	449.63897
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	0.1818778	-343.42619	1.3962817	2000-2012 –> 2013-2019	0.3846422	-667.17164
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.1636319	-472.30195	0.5912036	2000-2012 –> 2013-2019	0.3248601	-1226.82331
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	0.1754959	-385.64723	0.8287117	2000-2012 –> 2013-2019	0.3566813	-919.83799
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.1561529	-528.22083	0.5061359	2000-2012 –> 2013-2019	0.3101774	-1367.04012
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate	0.1698736	-425.95757	0.5784002	2000-2012 –> 2013-2019	0.3435828	-1039.70509
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.1611112	-489.52204	0.6063632	2000-2012 –> 2013-2019	0.3173804	-1301.02434
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.1695359	-426.42099	0.5536780	2000-2012 –> 2013-2019	0.3432435	-1038.18650
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.1531156	-550.53777	0.6408629	2000-2012 –> 2013-2019	0.3031057	-1437.46868
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate	0.1865046	-310.32673	0.5695925	2000-2012 –> 2013-2019	0.3761558	-758.30070
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.1864053	-308.98588	0.5676698	2000-2012 –> 2013-2019	0.3756088	-759.42222
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	6.0837132	31283.72238	63.6717482	1982-1999 –> 2000-2012	12.2888053	74698.08555
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.9606796	31087.58512	61.6153894	1982-1999 –> 2000-2012	12.0576870	74268.86729
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5.8529522	30910.70998	37.6186313	1982-1999 –> 2000-2012	11.8564352	73885.19145
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	5.6768717	30616.47621	32.4967238	1982-1999 –> 2000-2012	11.5653900	73334.28878
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	6.1882231	31448.90610	68.8278245	1982-1999 –> 2000-2012	12.5120199	75116.77578
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.0837034	31285.70677	63.6051352	1982-1999 –> 2000-2012	12.2881856	74700.75486
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.0468752	31226.82076	66.8391133	1982-1999 –> 2000-2012	12.2526122	74644.57419
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	5.9597631	31088.09396	62.2394180	1982-1999 –> 2000-2012	12.0567492	74271.32925
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.0957510	31304.89279	67.2549537	1982-1999 –> 2000-2012	12.3560071	74839.66227
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.1003004	31312.12803	67.3246057	1982-1999 –> 2000-2012	12.3721924	74871.74001
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	6.0467432	17050.51851	24.2960391	2000-2012 –> 2013-2019	12.1304564	48334.24089
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.9589690	16975.10785	20.4058639	2000-2012 –> 2013-2019	11.9196486	48062.69297
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5.7925393	16825.14624	30.2853066	2000-2012 –> 2013-2019	11.6454915	47735.85622
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	5.7176661	16758.27097	28.2219868	2000-2012 –> 2013-2019	11.3945378	47374.74718
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.0463409	17052.16625	24.0209227	2000-2012 –> 2013-2019	12.1300443	48337.87302
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.0327655	17040.26663	19.2296680	2000-2012 –> 2013-2019	12.0796407	48267.08739
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	5.9577413	16976.01704	19.9053842	2000-2012 –> 2013-2019	11.9175044	48064.11100
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.0785833	17080.32171	19.4707876	2000-2012 –> 2013-2019	12.1743342	48385.21450
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate_star	5.9576595	16971.94435	20.6918724	2000-2012 –> 2013-2019	12.0287802	48235.57231
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5.9531118	16969.90168	20.5868856	2000-2012 –> 2013-2019	12.0136499	48218.61030
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.0651533	29424.16922	46.3858504	1982-1999 –> 2000-2012	8.0556619	71150.29062
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	4.0369663	29353.63951	46.3448501	1982-1999 –> 2000-2012	7.8926054	70570.08882
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.1267294	29580.88081	42.5143629	1982-1999 –> 2000-2012	8.1586753	71460.73948
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	4.0623774	29419.04880	45.8698653	1982-1999 –> 2000-2012	8.0418397	71105.91716
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.1949147	29751.70740	40.6595729	1982-1999 –> 2000-2012	8.2926660	71872.49439
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.2041168	29774.54886	40.4537398	1982-1999 –> 2000-2012	8.3162290	71947.39965
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.3148999	30045.67585	46.6769259	1982-1999 –> 2000-2012	8.5261254	72572.96976
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	4.4495704	30364.04115	42.2575595	1982-1999 –> 2000-2012	8.8605844	73579.12893
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.4467395	30359.40704	42.8462783	1982-1999 –> 2000-2012	8.8576747	73576.22900
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate_star	4.4740845	30421.31267	40.7843471	1982-1999 –> 2000-2012	8.9006410	73688.74624
Indo-Pacific	(26,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.4906172	16509.40524	44.3842755	2000-2012 –> 2013-2019	8.9561399	46910.75093
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.1153467	16018.52083	45.4759232	2000-2012 –> 2013-2019	8.1805000	45442.69005
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	4.1072525	16009.40125	48.5848844	2000-2012 –> 2013-2019	8.1442189	45363.04076
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.2579641	16210.93716	42.6080320	2000-2012 –> 2013-2019	8.3846935	45791.81797
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	4.1038895	16004.77480	46.1899389	2000-2012 –> 2013-2019	8.1662670	45423.82360
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.3523109	16334.71771	41.0862615	2000-2012 –> 2013-2019	8.5472256	46086.42511
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.3595277	16344.07522	40.9601122	2000-2012 –> 2013-2019	8.5636445	46118.62408
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.3289200	16304.28142	48.9397964	2000-2012 –> 2013-2019	8.6438199	46349.95726
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	4.5126870	16537.09513	42.7975180	2000-2012 –> 2013-2019	8.9622574	46901.13627
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.4892977	16509.74545	44.1526082	2000-2012 –> 2013-2019	8.9360372	46869.15249
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.6345743	23255.49503	28.2101771	1982-1999 –> 2000-2012	7.1315569	54988.37913
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.7011548	23411.21044	38.4226522	1982-1999 –> 2000-2012	7.3016884	55490.65498
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	3.6196635	23222.23156	38.3894751	1982-1999 –> 2000-2012	7.1490037	55066.49907
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.8274006	23698.92510	33.4397204	1982-1999 –> 2000-2012	7.5035596	56025.22903
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.8142999	23669.51342	27.8737743	1982-1999 –> 2000-2012	7.4333368	55809.83291
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.5334938	23015.55370	41.2318410	1982-1999 –> 2000-2012	7.0220297	54721.71760
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + phosphate_star	3.7187975	23450.00298	34.9930279	1982-1999 –> 2000-2012	7.4714333	56018.83407
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.6757445	23352.11514	32.8395079	1982-1999 –> 2000-2012	7.4210643	55899.77019
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.7388012	23498.02118	38.6256274	1982-1999 –> 2000-2012	7.5449621	56237.04675
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.6483093	23287.85008	33.0480082	1982-1999 –> 2000-2012	7.3670459	55750.91244
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.8503468	12676.25764	38.7708468	2000-2012 –> 2013-2019	7.4849211	35931.75268
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.8380110	12661.57344	52.6641407	2000-2012 –> 2013-2019	7.5391658	36072.78388
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	3.6739832	12463.70366	55.0487644	2000-2012 –> 2013-2019	7.2936468	35685.93522
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.6439927	12426.19666	36.3789614	2000-2012 –> 2013-2019	7.1774865	35441.75035
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + phosphate_star	3.8620456	12688.14012	47.1778641	2000-2012 –> 2013-2019	7.5808430	36138.14310
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.7744841	12585.19741	44.2858854	2000-2012 –> 2013-2019	7.4502286	35937.31255
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate_star	3.9287787	12766.53445	51.9131126	2000-2012 –> 2013-2019	7.7574432	36466.29193
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.7549359	12561.43661	54.4504468	2000-2012 –> 2013-2019	7.4937371	36059.45779
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.8078603	12625.48335	34.8263061	2000-2012 –> 2013-2019	7.4561696	35913.33343
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3.8726721	12700.71378	42.5287212	2000-2012 –> 2013-2019	7.6672905	36323.85087
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + phosphate + phosphate_star	4.1971664	27339.36879	27.2326469	1982-1999 –> 2000-2012	7.9050265	63202.68113
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.1941303	27334.43774	27.1350375	1982-1999 –> 2000-2012	7.9003176	63193.82241
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	3.9389706	26733.25954	18.6245607	1982-1999 –> 2000-2012	7.3276379	61416.09280
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.9388896	26735.06249	18.6208614	1982-1999 –> 2000-2012	7.3272283	61418.62193
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate	4.2834965	27536.37663	27.1323949	1982-1999 –> 2000-2012	8.0043423	63447.61384
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.7138465	26171.58176	24.5830579	1982-1999 –> 2000-2012	6.9492406	60248.40260
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.2833176	27537.97670	27.1364912	1982-1999 –> 2000-2012	8.0041201	63451.06070
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.7077336	26157.80368	24.0093884	1982-1999 –> 2000-2012	6.9370359	60211.86787
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.7456751	26251.31784	24.5846438	1982-1999 –> 2000-2012	7.0546464	60621.52274
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.7404148	26239.85744	24.0504296	1982-1999 –> 2000-2012	7.0436802	60589.39130
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + phosphate + phosphate_star	4.6361462	15329.24053	21.1454106	2000-2012 –> 2013-2019	8.8333127	42668.60932
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.6207872	15314.02476	20.8860072	2000-2012 –> 2013-2019	8.8149175	42648.46250
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.4245386	15088.87029	14.6761406	2000-2012 –> 2013-2019	8.3635092	41822.12983
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.4206474	15086.30567	14.9575686	2000-2012 –> 2013-2019	8.3595370	41821.36816
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4.7512919	15460.51817	22.7833911	2000-2012 –> 2013-2019	9.0554166	43044.90936
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	4.7405901	15450.81959	22.6459065	2000-2012 –> 2013-2019	9.0302066	43004.87096
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.1082203	14706.04479	24.8854612	2000-2012 –> 2013-2019	7.8220668	40877.62655
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	4.1080033	14707.77079	24.8172481	2000-2012 –> 2013-2019	7.8157369	40865.57447
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.1158173	14713.62963	25.0060610	2000-2012 –> 2013-2019	7.8614923	40964.94747
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.1156949	14715.47534	24.9554630	2000-2012 –> 2013-2019	7.8561096	40955.33278
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + phosphate + phosphate_star	4.1475398	25702.42596	45.2579136	1982-1999 –> 2000-2012	7.7627119	58507.48374
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.0366931	25459.48254	39.0541340	1982-1999 –> 2000-2012	7.4838942	57689.52858
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.1048791	25610.94013	46.5044194	1982-1999 –> 2000-2012	7.6619844	58221.61706
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.9991093	25376.90210	40.3768785	1982-1999 –> 2000-2012	7.3985846	57439.86554
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	4.1860770	25792.05244	47.4378796	1982-1999 –> 2000-2012	7.8825172	58872.72527
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.6478560	24545.65250	37.9748366	1982-1999 –> 2000-2012	6.6978707	55293.03453
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.2724911	23565.79886	24.2551336	1982-1999 –> 2000-2012	5.9634170	52796.01465
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.1862269	25790.37615	47.5865904	1982-1999 –> 2000-2012	7.8828422	58869.62383
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.6510474	24551.55955	37.5062127	1982-1999 –> 2000-2012	6.7221289	55380.42319
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.2728301	23564.73553	24.4480725	1982-1999 –> 2000-2012	5.9722600	52831.21842
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + phosphate + phosphate_star	4.9021264	14451.31647	43.5497534	2000-2012 –> 2013-2019	9.0496662	40153.74243
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.7270511	14278.75249	36.3367363	2000-2012 –> 2013-2019	8.7637443	39738.23503
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.8810235	14432.60859	44.5189108	2000-2012 –> 2013-2019	8.9859025	40043.54872
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.7114613	14264.89596	37.2734587	2000-2012 –> 2013-2019	8.7105706	39641.79806
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	4.9383398	14492.64515	39.3739503	2000-2012 –> 2013-2019	9.1244168	40284.69759
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.2363766	13754.70491	36.1652945	2000-2012 –> 2013-2019	7.8842326	38300.35742
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.7864597	13217.77601	23.4724399	2000-2012 –> 2013-2019	7.0589508	36783.57487
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.9504914	14502.44180	40.6359010	2000-2012 –> 2013-2019	9.1367182	40292.81795
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.2368201	13753.20739	36.3372298	2000-2012 –> 2013-2019	7.8878675	38304.76694
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.7954530	13227.16304	24.3845530	2000-2012 –> 2013-2019	7.0682831	36791.89857
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3.1485491	18801.37532	28.6100212	1982-1999 –> 2000-2012	5.7802065	43086.61295
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	3.1851097	18883.90775	26.7766743	1982-1999 –> 2000-2012	5.7583349	42938.79047
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.1839671	18883.28073	26.9112992	1982-1999 –> 2000-2012	5.7563615	42936.87911
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	3.0086183	18470.51138	27.0632479	1982-1999 –> 2000-2012	5.5039218	42216.66973
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.1764122	18865.88636	27.1610010	1982-1999 –> 2000-2012	5.7443344	42901.78859
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.8512018	18077.02444	27.7746711	1982-1999 –> 2000-2012	5.2151153	41273.06869
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.2224198	18971.17871	27.1586158	1982-1999 –> 2000-2012	5.8275481	43153.37449
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.2120196	18947.50896	27.2271102	1982-1999 –> 2000-2012	5.8110648	43105.92981
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.1050602	18699.53642	28.2888528	1982-1999 –> 2000-2012	5.6799270	42762.90476
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.8566260	18088.94079	27.7977462	1982-1999 –> 2000-2012	5.2254081	41303.90904
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3.4772428	10328.23967	22.8259481	2000-2012 –> 2013-2019	6.6257919	29129.61500
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.4557733	10304.27115	42.7028464	2000-2012 –> 2013-2019	6.6397404	29187.55188
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.9454435	9687.89604	65.9382231	2000-2012 –> 2013-2019	5.9540618	28158.40743
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.2141819	10023.79908	64.0192901	2000-2012 –> 2013-2019	6.5728546	29298.20597
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3.0866353	9869.09796	45.4690768	2000-2012 –> 2013-2019	5.9378371	27946.12240
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.9454568	9685.91354	66.1643105	2000-2012 –> 2013-2019	6.2179086	28769.90162
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.9730395	9721.98537	71.2822929	2000-2012 –> 2013-2019	6.0780997	28421.52180
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.2193275	10027.98967	62.9654242	2000-2012 –> 2013-2019	6.5812764	29307.53503
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.0875050	9868.18813	46.2965642	2000-2012 –> 2013-2019	5.9441309	27957.12892
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2.9780613	9726.51678	67.4723239	2000-2012 –> 2013-2019	6.2765898	28866.61926
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.8001697	12941.93086	13.1635983	1982-1999 –> 2000-2012	3.3556412	29531.20038
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.8431805	13094.03752	10.9147527	1982-1999 –> 2000-2012	3.4219417	29815.69546
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate_star	1.8474011	13106.77178	12.3209905	1982-1999 –> 2000-2012	3.4275005	29833.97714
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1.8586113	13145.74434	14.0415505	1982-1999 –> 2000-2012	3.4374951	29866.09369
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.7993363	12940.94803	12.3645073	1982-1999 –> 2000-2012	3.3506313	29508.26653
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.8388594	13078.91725	10.8204906	1982-1999 –> 2000-2012	3.4178142	29801.66751
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.8328331	13059.77095	12.1268568	1982-1999 –> 2000-2012	3.4115792	29783.34365
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.8422194	13090.67746	10.8838701	1982-1999 –> 2000-2012	3.4210074	29812.48685
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.8412918	13087.43290	10.8646626	1982-1999 –> 2000-2012	3.4200470	29809.05733
Indo-Pacific	(27.5,27.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.9078248	13316.10035	16.2317498	1982-1999 –> 2000-2012	3.5414946	30342.30893
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.0456497	7459.67312	14.7938054	2000-2012 –> 2013-2019	3.8458194	20401.60398
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.1162216	7577.97478	10.9691967	2000-2012 –> 2013-2019	3.9594021	20672.01230
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate_star	2.1352410	7607.18293	13.4761493	2000-2012 –> 2013-2019	3.9826421	20713.95470
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2.1604572	7648.13331	15.6254646	2000-2012 –> 2013-2019	4.0190685	20793.87764
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.0346864	7442.92955	11.9692708	2000-2012 –> 2013-2019	3.8340228	20383.87758
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.1091319	7566.26977	10.8248465	2000-2012 –> 2013-2019	3.9479913	20645.18702
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.0978316	7549.53153	11.8221361	2000-2012 –> 2013-2019	3.9306647	20609.30248
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1135619	7573.58833	10.9046245	2000-2012 –> 2013-2019	3.9557813	20664.26579
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.1120069	7571.02118	10.8741142	2000-2012 –> 2013-2019	3.9532987	20658.45408
Indo-Pacific	(27.5,27.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.1934216	7702.95155	16.5126178	2000-2012 –> 2013-2019	4.1012464	21019.05191
Indo-Pacific	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1.6267007	4299.35781	8.1506026	1982-1999 –> 2000-2012	2.9300863	9790.78057
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.5880953	4247.31629	7.4644161	1982-1999 –> 2000-2012	2.8577493	9655.41675
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.5991893	4264.97952	7.4167109	1982-1999 –> 2000-2012	2.8739844	9688.22929
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.3964786	3958.00766	8.0234164	1982-1999 –> 2000-2012	2.5182051	8963.01764
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.6032663	4268.70839	7.5995048	1982-1999 –> 2000-2012	2.8825504	9701.39667
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.3124622	3820.39770	6.7524250	1982-1999 –> 2000-2012	2.3563550	8593.40509
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.6003452	4264.60531	7.5880131	1982-1999 –> 2000-2012	2.8751558	9685.89451
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.6018536	4266.72492	7.5880199	1982-1999 –> 2000-2012	2.8771911	9689.35920
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.6285161	4303.86754	7.8155276	1982-1999 –> 2000-2012	2.9305381	9793.88413
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.5187578	4146.87036	7.3678402	1982-1999 –> 2000-2012	2.7332530	9410.44136
Indo-Pacific	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1.5999990	2463.84608	7.5816787	2000-2012 –> 2013-2019	3.2266996	6763.20389
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.5535562	2427.61172	6.8243011	2000-2012 –> 2013-2019	3.1416515	6674.92801
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.5654450	2439.50701	6.9011585	2000-2012 –> 2013-2019	3.1646343	6704.48654
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.4090766	2300.91129	8.5536346	2000-2012 –> 2013-2019	2.8055551	6258.91895
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.5700111	2441.28758	6.9310799	2000-2012 –> 2013-2019	3.1732774	6709.99597
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.2942139	2192.54097	7.0650162	2000-2012 –> 2013-2019	2.6066761	6012.93867
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5672990	2439.04339	6.9255151	2000-2012 –> 2013-2019	3.1676442	6703.64870
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate	1.5800997	2447.60156	6.8116654	2000-2012 –> 2013-2019	3.2089728	6749.96219
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.5691902	2440.60873	6.9337316	2000-2012 –> 2013-2019	3.1710438	6707.33366
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.5067948	2387.94239	7.5153393	2000-2012 –> 2013-2019	3.0255525	6534.81275
Indo-Pacific	(27.85,27.95]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1.2193224	5465.31250	16.7256404	1982-1999 –> 2000-2012	2.4790549	13228.25111
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.1915206	5389.53719	19.2567263	1982-1999 –> 2000-2012	2.4510639	13153.77050
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.2035964	5423.53991	18.8397797	1982-1999 –> 2000-2012	2.4642569	13191.93801
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.2311070	5499.74581	14.7185210	1982-1999 –> 2000-2012	2.4606039	13150.54977
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.1874505	5379.99937	17.7320057	1982-1999 –> 2000-2012	2.3948311	12947.52582
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.1543559	5282.68607	13.7360023	1982-1999 –> 2000-2012	2.2137868	12234.08383
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.2096558	5440.47315	19.3998664	1982-1999 –> 2000-2012	2.4878015	13273.58422
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.0579571	4990.63863	11.4215028	1982-1999 –> 2000-2012	2.0022115	11403.33599
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.2079627	5435.75038	19.5026523	1982-1999 –> 2000-2012	2.4871227	13272.58797
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.2182393	5464.31587	17.6669688	1982-1999 –> 2000-2012	2.4491820	13120.64091
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.5004527	3783.84136	9.4245765	2000-2012 –> 2013-2019	2.7040492	9207.38127
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.4753024	3748.91799	8.3035747	2000-2012 –> 2013-2019	2.7064094	9248.66381
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.4733653	3748.20340	8.4734314	2000-2012 –> 2013-2019	2.6608158	9128.20277
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.2927628	3476.03781	9.5445190	2000-2012 –> 2013-2019	2.4471186	8758.72388
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.5211489	3812.14362	9.8427542	2000-2012 –> 2013-2019	2.7308047	9252.61677
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.1922095	3310.74704	7.6819166	2000-2012 –> 2013-2019	2.2501667	8301.38567
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5235717	3815.43162	9.9547409	2000-2012 –> 2013-2019	2.7315345	9251.18200
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.5255680	3818.13681	10.0007962	2000-2012 –> 2013-2019	2.7337587	9254.52353
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate	1.5117547	3797.34499	8.3125381	2000-2012 –> 2013-2019	2.7812098	9398.52354
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.5084603	3794.83780	8.3111589	2000-2012 –> 2013-2019	2.7266996	9259.15367
Indo-Pacific	(27.95,28.05]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	0.7302519	3091.54882	3.9560681	1982-1999 –> 2000-2012	1.3289795	6935.88702
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.6534120	2783.57429	4.1710038	1982-1999 –> 2000-2012	1.2051148	6283.90978
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.6543028	2789.37282	3.2724212	1982-1999 –> 2000-2012	1.2065666	6296.00699
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.6561435	2795.20494	4.2518623	1982-1999 –> 2000-2012	1.2110227	6319.82467
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.6163084	2622.58683	3.3729521	1982-1999 –> 2000-2012	1.1324117	5842.77010
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.6583807	2804.69479	4.3210777	1982-1999 –> 2000-2012	1.2155747	6346.92412
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.6934655	2949.44275	6.4209659	1982-1999 –> 2000-2012	1.2504062	6489.74826
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.6588552	2806.70363	4.3361019	1982-1999 –> 2000-2012	1.2165997	6353.10976
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.7614234	3210.08750	5.3927831	1982-1999 –> 2000-2012	1.3594061	7051.15927
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.6258207	2663.28889	3.2635429	1982-1999 –> 2000-2012	1.1545971	5984.08741
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate	0.7152760	1481.70295	4.3556768	2000-2012 –> 2013-2019	1.4573324	4617.95935
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.6594527	1373.51672	4.0261374	2000-2012 –> 2013-2019	1.3128646	4157.09101
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.6597168	1376.05976	4.0123273	2000-2012 –> 2013-2019	1.3140196	4165.43258
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	0.7480916	1544.52906	3.6352855	2000-2012 –> 2013-2019	1.4789948	4640.56329
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.6607770	1376.23721	4.0294416	2000-2012 –> 2013-2019	1.3169205	4171.44215
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.6450747	1345.62500	4.0383901	2000-2012 –> 2013-2019	1.2613831	3968.21183
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.6621614	1379.07513	4.0321832	2000-2012 –> 2013-2019	1.3205421	4183.76992
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.6621014	1378.95224	4.0098553	2000-2012 –> 2013-2019	1.3555669	4328.39499
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.6624342	1379.63368	4.0326126	2000-2012 –> 2013-2019	1.3212894	4186.33731
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.6450792	1343.63435	4.0369292	2000-2012 –> 2013-2019	1.2708998	4006.92324
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	0.4658342	1428.13826	2.7318673	1982-1999 –> 2000-2012	0.9969015	3529.51764
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.4490209	1350.66234	2.6364793	1982-1999 –> 2000-2012	0.9388200	3239.02666
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.4458408	1337.29595	2.4518222	1982-1999 –> 2000-2012	0.9304221	3199.19327
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.4493103	1352.05520	2.6371565	1982-1999 –> 2000-2012	0.9394401	3242.21403
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.4421730	1319.43636	2.6431817	1982-1999 –> 2000-2012	0.9285646	3191.24463
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.4497166	1354.00926	2.6369902	1982-1999 –> 2000-2012	0.9401153	3245.62589
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.4466304	1339.12159	2.3846430	1982-1999 –> 2000-2012	0.9327812	3207.61348
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.4497989	1354.40491	2.6371940	1982-1999 –> 2000-2012	0.9402612	3246.36650
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.5231923	1681.18818	2.6643580	1982-1999 –> 2000-2012	1.0467547	3746.73761
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.4423373	1318.23925	2.6431615	1982-1999 –> 2000-2012	0.9288759	3188.85100
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.4646154	674.22189	2.1624309	2000-2012 –> 2013-2019	0.9794137	2320.44208
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	0.4408406	619.06494	2.1366991	2000-2012 –> 2013-2019	0.9066748	2047.20320
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.4368327	611.82225	2.1703268	2000-2012 –> 2013-2019	0.8858536	1962.48459
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.4292488	596.09868	2.1167524	2000-2012 –> 2013-2019	0.8750896	1933.39463
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.4368851	611.94369	2.1721342	2000-2012 –> 2013-2019	0.8861954	1963.99889
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.4358214	611.47676	2.0908422	2000-2012 –> 2013-2019	0.8779944	1930.91311
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.4370222	612.26127	2.1776229	2000-2012 –> 2013-2019	0.8867388	1966.27053
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.4292558	594.11502	2.1176070	2000-2012 –> 2013-2019	0.8758862	1933.23661
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.4370497	612.32500	2.1786713	2000-2012 –> 2013-2019	0.8868486	1966.72991
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.4373064	612.91925	2.0303744	2000-2012 –> 2013-2019	0.8796437	1931.15850
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.7723765	21532.55003	5.0006758	1982-1999 –> 2000-2012	1.5417586	52052.91597
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.6544375	18462.54659	3.0025228	1982-1999 –> 2000-2012	1.2976742	44262.34529
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.7715892	21513.64385	4.9706034	1982-1999 –> 2000-2012	1.5393592	51978.69059
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.7696605	21469.24150	4.8225777	1982-1999 –> 2000-2012	1.5276156	51596.98500
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.7711396	21502.83741	4.9531272	1982-1999 –> 2000-2012	1.5378132	51930.19888
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.7407771	20758.09164	4.0099928	1982-1999 –> 2000-2012	1.4768563	50111.49376
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.7711140	21502.22169	4.9516171	1982-1999 –> 2000-2012	1.5377317	51927.65905
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.7954263	22075.73943	5.6762721	1982-1999 –> 2000-2012	1.5820452	53178.40515
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.6657025	18776.96469	2.8440875	1982-1999 –> 2000-2012	1.3265778	45288.18951
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	0.7816870	21752.70193	3.4859853	1982-1999 –> 2000-2012	1.5652780	52753.65966
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.7854002	11816.02342	4.8287442	2000-2012 –> 2013-2019	1.5577767	33348.57345
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.6860898	10462.93022	3.0580208	2000-2012 –> 2013-2019	1.3405273	28925.47681
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.7853671	11815.60064	4.8016624	2000-2012 –> 2013-2019	1.5569563	33329.24449
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.7853630	11817.54833	4.8083203	2000-2012 –> 2013-2019	1.5550235	33286.78983
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.7854158	11816.22329	4.7842230	2000-2012 –> 2013-2019	1.5565555	33319.06070
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.7580105	11460.21016	3.8294823	2000-2012 –> 2013-2019	1.4987876	32218.30180
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.7854208	11816.28666	4.7832055	2000-2012 –> 2013-2019	1.5565348	33318.50835
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.6982480	10637.01081	2.9315789	2000-2012 –> 2013-2019	1.3639506	29413.97549
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.7962064	11953.00255	4.9114735	2000-2012 –> 2013-2019	1.5877687	33940.45766
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	0.7976887	11969.64695	3.7000919	2000-2012 –> 2013-2019	1.5793757	33722.34888
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.8988723	258.09230	2.6060622	1982-1999 –> 2000-2012	1.9721331	611.73023
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.8866303	257.54170	2.4652078	1982-1999 –> 2000-2012	1.9585303	612.89038
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.8424918	472.23324	9.3078108	1982-1999 –> 2000-2012	5.3158898	1016.22642
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.8413442	474.15814	9.2764548	1982-1999 –> 2000-2012	5.2973284	1018.54041
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.8449113	472.39150	9.3373055	1982-1999 –> 2000-2012	5.3124869	1015.84732
SO	(26,26.5]	cstar_tref ~ sal + temp + nitrate + phosphate_star	2.9258981	475.61244	9.9204795	1982-1999 –> 2000-2012	5.3163106	1009.82466
SO	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.5213874	449.93710	8.5032897	1982-1999 –> 2000-2012	4.7308847	968.20551
SO	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.8453488	472.42010	9.3383371	1982-1999 –> 2000-2012	5.3122515	1015.81374
SO	(26,26.5]	cstar_tref ~ temp + aou + nitrate + phosphate_star	1.1212442	297.20821	3.8656132	1982-1999 –> 2000-2012	2.4807280	702.74616
SO	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.0737261	291.15366	3.2656959	1982-1999 –> 2000-2012	2.3298830	680.66864
SO	(26,26.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2.2164156	224.62367	8.5955231	2000-2012 –> 2013-2019	5.1344323	699.73441
SO	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.1723620	224.69634	8.0785402	2000-2012 –> 2013-2019	5.0159561	697.00170
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.9963668	149.86868	1.8653894	2000-2012 –> 2013-2019	1.8952391	407.96098
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.9930483	151.54841	1.8315762	2000-2012 –> 2013-2019	1.8796786	409.09011
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.9098599	212.33297	7.3147661	2000-2012 –> 2013-2019	4.8230490	689.13574
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.2965435	230.03300	8.4773829	2000-2012 –> 2013-2019	5.1390353	702.26624
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.7736896	207.23204	6.2761582	2000-2012 –> 2013-2019	4.6150338	681.39018
SO	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.5688308	240.78938	9.9741472	2000-2012 –> 2013-2019	5.0902181	690.72648
SO	(26,26.5]	cstar_tref ~ temp + aou + nitrate + phosphate_star	1.2617314	170.53665	3.2940215	2000-2012 –> 2013-2019	2.3829756	467.74486
SO	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.2542346	171.96455	3.3439450	2000-2012 –> 2013-2019	2.3279607	463.11821
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.6109565	1147.66845	5.2576592	1982-1999 –> 2000-2012	3.7493545	2782.84109
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.5742727	1135.89369	4.6966325	1982-1999 –> 2000-2012	3.6796680	2761.49438
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.6860120	1453.38368	8.7412484	1982-1999 –> 2000-2012	5.7363290	3352.81661
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.6413795	1445.36344	8.5307956	1982-1999 –> 2000-2012	5.6327530	3332.27878
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.8221751	1482.95497	8.6598730	1982-1999 –> 2000-2012	5.9741770	3406.78533
SO	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.6457223	1444.34582	7.7024197	1982-1999 –> 2000-2012	5.4590547	3283.60712
SO	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.8239950	1483.34046	8.5693521	1982-1999 –> 2000-2012	5.9729585	3406.45332
SO	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate_star	2.8263484	1481.83861	8.3224184	1982-1999 –> 2000-2012	5.9878409	3405.90577
SO	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate_star	1.8826809	1238.87790	5.1593677	1982-1999 –> 2000-2012	4.4015039	2993.86921
SO	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.8803353	1240.13241	5.1157827	1982-1999 –> 2000-2012	4.3836051	2992.51545
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.8316524	641.48868	4.9622324	2000-2012 –> 2013-2019	3.4426089	1789.15713
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.8283221	642.92454	4.9518382	2000-2012 –> 2013-2019	3.4025949	1778.81823
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.6479883	755.74901	8.8235459	2000-2012 –> 2013-2019	5.3340003	2209.13269
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.6370006	756.46001	8.6830537	2000-2012 –> 2013-2019	5.2783801	2201.82345
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.7943373	772.42538	8.8233106	2000-2012 –> 2013-2019	5.6165124	2255.38035
SO	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.8393665	777.38104	8.9548027	2000-2012 –> 2013-2019	5.4850888	2221.72687
SO	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate_star	2.0718738	677.69150	5.8972092	2000-2012 –> 2013-2019	3.9545546	1916.56940
SO	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.0458438	675.77215	5.7856551	2000-2012 –> 2013-2019	3.9261791	1915.90456
SO	(26.5,26.75]	cstar_tref ~ temp + aou + phosphate + phosphate_star	2.7463388	765.05423	9.5164811	2000-2012 –> 2013-2019	5.6144081	2255.65566
SO	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.7457308	766.98560	9.4434005	2000-2012 –> 2013-2019	5.6127923	2259.37686
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.5817742	5274.39699	18.1887041	1982-1999 –> 2000-2012	5.2276333	12244.14208
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.3414495	5059.29280	14.1072854	1982-1999 –> 2000-2012	4.9232103	11959.72154
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.3128105	5029.94720	14.6423326	1982-1999 –> 2000-2012	4.7776797	11793.63993
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.0656656	4780.83684	9.8669736	1982-1999 –> 2000-2012	4.4779427	11483.81102
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.6540151	5335.71698	9.9669921	1982-1999 –> 2000-2012	5.5316908	12549.69664
SO	(26.75,27]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.6119586	5300.22445	10.1228377	1982-1999 –> 2000-2012	5.4901533	12514.72846
SO	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.6551854	5336.69657	10.0278785	1982-1999 –> 2000-2012	5.5381031	12555.96864
SO	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.7425077	5408.59663	18.9403249	1982-1999 –> 2000-2012	5.5263948	12526.22035
SO	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	2.3448315	5058.49990	15.2189301	1982-1999 –> 2000-2012	4.8271697	11840.72954
SO	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.2423406	4961.19138	13.0686049	1982-1999 –> 2000-2012	4.7067997	11724.40025
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.7241338	2890.25378	21.9071777	2000-2012 –> 2013-2019	5.3059080	8164.65077
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2.2833966	2682.58792	14.4896211	2000-2012 –> 2013-2019	4.6248462	7741.88072
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.4478434	2763.20536	18.2275430	2000-2012 –> 2013-2019	4.7606539	7793.15255
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2.0342545	2545.33270	10.2747799	2000-2012 –> 2013-2019	4.0999200	7326.16954
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.5235227	2799.37810	8.0537270	2000-2012 –> 2013-2019	5.1775378	8135.09508
SO	(26.75,27]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.4737276	2775.70166	7.0060055	2000-2012 –> 2013-2019	5.0856862	8075.92611
SO	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.5225805	2798.93444	7.9686087	2000-2012 –> 2013-2019	5.1777658	8135.63101
SO	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate_star	2.5235671	2797.39900	8.0749457	2000-2012 –> 2013-2019	5.1788434	8132.17169
SO	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	2.4974522	2785.04101	18.3255798	2000-2012 –> 2013-2019	4.8422836	7843.54091
SO	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.3152750	2697.05878	13.6688917	2000-2012 –> 2013-2019	4.5576156	7658.25017
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.8327542	9775.33551	6.7854438	1982-1999 –> 2000-2012	3.6432066	23182.61239
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.9458910	10062.05388	8.2373927	1982-1999 –> 2000-2012	3.7123495	23303.64196
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.8860155	9911.41173	6.7641916	1982-1999 –> 2000-2012	3.7713471	23586.35482
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.6558094	9285.96132	5.7237378	1982-1999 –> 2000-2012	3.2939436	22027.71249
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.8350611	9779.39857	6.8073064	1982-1999 –> 2000-2012	3.6701764	23274.70777
SO	(27,27.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.8399757	9792.29014	6.6680866	1982-1999 –> 2000-2012	3.6824822	23314.34534
SO	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.8384006	9788.16232	6.7371147	1982-1999 –> 2000-2012	3.6758003	23291.74919
SO	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.8545745	9828.38233	6.0086081	1982-1999 –> 2000-2012	3.7006350	23361.26007
SO	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	1.9463114	10061.09521	8.3941179	1982-1999 –> 2000-2012	3.7451662	23421.60974
SO	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.8266961	9757.37680	9.0621948	1982-1999 –> 2000-2012	3.6067463	23049.96656
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.7498778	5175.88762	8.4254029	2000-2012 –> 2013-2019	3.5826321	14951.22313
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.9692899	5481.96295	14.8390858	2000-2012 –> 2013-2019	3.9151809	15544.01683
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.7995221	5246.84687	8.6943237	2000-2012 –> 2013-2019	3.6855376	15158.25861
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.6142216	4965.43994	9.3532838	2000-2012 –> 2013-2019	3.2700310	14251.40126
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.7504028	5174.66995	8.4261716	2000-2012 –> 2013-2019	3.5854639	14954.06852
SO	(27,27.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.7510991	5175.70708	8.3679634	2000-2012 –> 2013-2019	3.5910748	14967.99722
SO	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.7545444	5180.83341	8.4019904	2000-2012 –> 2013-2019	3.5929451	14968.99573
SO	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.7877333	5227.70533	7.3567506	2000-2012 –> 2013-2019	3.6423078	15056.08765
SO	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	1.9819856	5496.72235	15.2425871	2000-2012 –> 2013-2019	3.9282970	15557.81755
SO	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.7467434	5169.21191	10.8910155	2000-2012 –> 2013-2019	3.5734395	14926.58871
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.5596442	10068.88607	7.6146459	1982-1999 –> 2000-2012	2.8227098	22502.92805
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.5430383	10013.12574	7.2977753	1982-1999 –> 2000-2012	2.8041864	22437.74867
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.5717820	10110.71742	8.0312332	1982-1999 –> 2000-2012	2.8350934	22546.22237
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + phosphate_star	1.5731181	10113.30250	7.9703774	1982-1999 –> 2000-2012	2.8384289	22558.69286
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.5669040	10095.94497	7.7612871	1982-1999 –> 2000-2012	2.8297941	22530.94298
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5686304	10099.88699	7.7039666	1982-1999 –> 2000-2012	2.8335663	22545.05013
SO	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + phosphate_star	1.5598078	10067.45214	7.6161563	1982-1999 –> 2000-2012	2.8238092	22505.06058
SO	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.5467019	10023.92204	7.3737885	1982-1999 –> 2000-2012	2.8078521	22446.55777
SO	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.5703832	10105.91314	7.6683662	1982-1999 –> 2000-2012	2.8365771	22558.54779
SO	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.5730953	10115.22418	8.2059371	1982-1999 –> 2000-2012	2.8390614	22566.50612
SO	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.7467212	5643.58162	9.2882318	2000-2012 –> 2013-2019	3.3427049	15836.75169
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.7828330	5701.86104	9.3949520	2000-2012 –> 2013-2019	3.3424772	15770.74711
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.7122709	5586.84970	7.5144436	2000-2012 –> 2013-2019	3.2780130	15676.79211
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.7042047	5575.40166	7.9204661	2000-2012 –> 2013-2019	3.2472431	15588.52740
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.7410723	5634.35626	9.5122412	2000-2012 –> 2013-2019	3.3179178	15762.42922
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.7408767	5636.03641	9.5380678	2000-2012 –> 2013-2019	3.3077807	15731.98138
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.7419613	5635.81016	9.6097094	2000-2012 –> 2013-2019	3.3105917	15735.69714
SO	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.7129272	5587.94113	8.0238917	2000-2012 –> 2013-2019	3.2596291	15611.86317
SO	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.7411552	5634.49187	9.5596062	2000-2012 –> 2013-2019	3.3115383	15740.40501
SO	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.7672438	5676.84846	9.8648416	2000-2012 –> 2013-2019	3.3403391	15792.07264
SO	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1.3883347	10843.66961	8.4553819	1982-1999 –> 2000-2012	2.5692864	24083.07211
SO	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.3796919	10806.95225	8.3336217	1982-1999 –> 2000-2012	2.5606188	24048.17931
SO	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.3982676	10889.86982	8.4949881	1982-1999 –> 2000-2012	2.5822415	24152.59858
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.3833782	10823.49527	8.3250832	1982-1999 –> 2000-2012	2.5577963	24018.60715
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.3763430	10793.88490	8.2106823	1982-1999 –> 2000-2012	2.5506593	23990.27278
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3979734	10888.56542	8.4679060	1982-1999 –> 2000-2012	2.5813589	24147.14643
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.3933691	10870.11178	8.4706640	1982-1999 –> 2000-2012	2.5766395	24129.88036
SO	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.3961487	10880.46755	8.3644226	1982-1999 –> 2000-2012	2.5785826	24132.33627
SO	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate	1.4007226	10898.74614	8.5032310	1982-1999 –> 2000-2012	2.5758302	24096.75487
SO	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.3802009	10809.23916	8.2320874	1982-1999 –> 2000-2012	2.5552680	24008.96012
SO	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1.5773198	6145.90584	10.3312473	2000-2012 –> 2013-2019	2.9656545	16989.57544
SO	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate	1.5527208	6094.47548	10.1488828	2000-2012 –> 2013-2019	2.9375429	16922.43884
SO	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.5513303	6093.54397	10.1401165	2000-2012 –> 2013-2019	2.9310222	16900.49622
SO	(27.5,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1.5639224	6117.99544	10.2155694	2000-2012 –> 2013-2019	2.9666733	17025.71313
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.5527183	6096.47013	10.1464843	2000-2012 –> 2013-2019	2.9360964	16919.96540
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.5439712	6079.98555	9.7849630	2000-2012 –> 2013-2019	2.9203142	16873.87045
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.5685820	6129.72980	10.5127240	2000-2012 –> 2013-2019	2.9665554	17018.29522
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.5671208	6128.68036	10.5202192	2000-2012 –> 2013-2019	2.9604900	16998.79215
SO	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.5621465	6116.27787	10.2936671	2000-2012 –> 2013-2019	2.9582952	16996.74542
SO	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.5561753	6103.74696	9.7094266	2000-2012 –> 2013-2019	2.9363762	16912.98611
SO	(27.75,27.85]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1.2980739	4151.07666	7.4720113	1982-1999 –> 2000-2012	2.5738546	9792.29094
SO	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1.3221869	4196.42790	7.7447183	1982-1999 –> 2000-2012	2.6238920	9905.75740
SO	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.2976758	4152.32087	7.4691884	1982-1999 –> 2000-2012	2.5561272	9749.22708
SO	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.3204312	4195.15385	7.7289701	1982-1999 –> 2000-2012	2.6161669	9890.92014
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.3123584	4180.04333	7.5739257	1982-1999 –> 2000-2012	2.5963220	9844.90634
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.2808607	4122.18415	7.2864267	1982-1999 –> 2000-2012	2.5354268	9710.62013
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.3193007	4195.04346	7.7718107	1982-1999 –> 2000-2012	2.5873962	9819.79907
SO	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate	1.3169226	4186.59796	7.6079330	1982-1999 –> 2000-2012	2.6057711	9862.31849
SO	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.2812354	4120.90468	7.2918835	1982-1999 –> 2000-2012	2.5567466	9763.40363
SO	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.3199660	4194.28572	7.7933797	1982-1999 –> 2000-2012	2.6057513	9863.94923
SO	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.2919951	2315.62332	9.1233322	2000-2012 –> 2013-2019	2.5896709	6467.94419
SO	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.2952591	2319.09015	9.1986191	2000-2012 –> 2013-2019	2.6156903	6514.24400
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.2918825	2315.50362	9.1235757	2000-2012 –> 2013-2019	2.6042409	6495.54695
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.2909378	2316.49842	9.0925269	2000-2012 –> 2013-2019	2.5717985	6438.68257
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.2959096	2319.77994	9.2071598	2000-2012 –> 2013-2019	2.6168450	6515.87467
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.2822084	2307.17586	9.0142638	2000-2012 –> 2013-2019	2.6015091	6502.21932
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.2943689	2318.14544	9.1822962	2000-2012 –> 2013-2019	2.6156334	6514.85400
SO	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.2927836	2316.46165	9.1326676	2000-2012 –> 2013-2019	2.6145915	6514.18312
SO	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.2953038	2319.13754	9.2074210	2000-2012 –> 2013-2019	2.6166479	6515.99446
SO	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.3165460	2341.48754	9.0657417	2000-2012 –> 2013-2019	2.5977814	6462.39222
SO	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.5521546	4876.05203	7.5576967	1982-1999 –> 2000-2012	3.0970100	11927.33810
SO	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.5696662	4905.40074	7.5123044	1982-1999 –> 2000-2012	3.1201037	11970.37847
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.5872228	4934.49804	7.6455595	1982-1999 –> 2000-2012	3.1508161	12031.54996
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.5388877	4855.59582	7.6654953	1982-1999 –> 2000-2012	3.0837335	11908.85844
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate	1.5931939	4942.32106	7.5639033	1982-1999 –> 2000-2012	3.1603237	12045.94858
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.5780589	4919.35078	7.7302752	1982-1999 –> 2000-2012	3.1436234	12021.18508
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.5204963	4824.14354	7.9374816	1982-1999 –> 2000-2012	2.9834123	11670.55281
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5745449	4913.51904	7.7067434	1982-1999 –> 2000-2012	3.1411541	12017.88550
SO	(27.85,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.5862356	4932.87059	7.7450668	1982-1999 –> 2000-2012	3.1590746	12052.30219
SO	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.5774983	4918.42121	7.7425597	1982-1999 –> 2000-2012	3.1469104	12029.57322
SO	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.4702599	2619.52147	11.0399837	2000-2012 –> 2013-2019	3.0224146	7495.57350
SO	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.4708320	2620.08316	11.1429024	2000-2012 –> 2013-2019	3.0404981	7525.48390
SO	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate_star	1.4709305	2618.17990	11.1701263	2000-2012 –> 2013-2019	3.0568654	7548.55449
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.4657119	2617.04775	10.6751613	2000-2012 –> 2013-2019	3.0045996	7472.64357
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.4730867	2622.29507	11.1904915	2000-2012 –> 2013-2019	3.0511456	7541.64585
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.4493402	2600.82775	10.7124094	2000-2012 –> 2013-2019	2.9698365	7424.97129
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.4709223	2620.17183	11.1772220	2000-2012 –> 2013-2019	3.0454672	7533.69087
SO	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.4718949	2621.12633	11.1916568	2000-2012 –> 2013-2019	3.0493932	7539.54754
SO	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.4657812	2615.11602	10.6629367	2000-2012 –> 2013-2019	3.0554887	7553.70617
SO	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.4493439	2598.83144	10.7123970	2000-2012 –> 2013-2019	3.0245355	7513.42473
SO	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.5888729	6589.58024	10.1460148	1982-1999 –> 2000-2012	3.1430583	14913.56907
SO	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.5883602	6588.45251	10.4295953	1982-1999 –> 2000-2012	3.1337905	14887.20117
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.6074666	6630.23110	10.5314316	1982-1999 –> 2000-2012	3.1719393	14983.69668
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.5886759	6591.14702	10.1847997	1982-1999 –> 2000-2012	3.1409389	14911.60600
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.6215899	6660.79569	9.7831608	1982-1999 –> 2000-2012	3.1521079	14916.22174
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.6004648	6614.97876	10.3999175	1982-1999 –> 2000-2012	3.1619905	14960.02010
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.5081802	6409.46903	10.5933192	1982-1999 –> 2000-2012	2.9374284	14361.02607
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5955561	6604.24613	10.4086254	1982-1999 –> 2000-2012	3.1504584	14930.29543
SO	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.5994011	6612.65584	10.4029230	1982-1999 –> 2000-2012	3.1583743	14950.38759
SO	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.5974363	6608.36098	10.3817663	1982-1999 –> 2000-2012	3.1557502	14944.20287
SO	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.6194087	3272.31332	11.5068290	2000-2012 –> 2013-2019	3.2082816	9861.89356
SO	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.6270445	3280.37621	12.0305243	2000-2012 –> 2013-2019	3.2154047	9868.82872
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.6138477	3268.41741	10.9776234	2000-2012 –> 2013-2019	3.2025236	9859.56443
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.6193587	3272.26046	11.1753569	2000-2012 –> 2013-2019	3.2409487	9933.05614
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.6385600	3292.46432	12.0949975	2000-2012 –> 2013-2019	3.2390247	9907.44308
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.5157924	3160.97899	10.8880447	2000-2012 –> 2013-2019	3.0239727	9570.44802
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.6331213	3286.76582	12.0754915	2000-2012 –> 2013-2019	3.2286774	9891.01195
SO	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.6353563	3289.10992	12.1475053	2000-2012 –> 2013-2019	3.2347574	9901.76576
SO	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.6341339	3287.82827	12.0894679	2000-2012 –> 2013-2019	3.2315703	9896.18926
SO	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.6370386	3288.87215	12.1407018	2000-2012 –> 2013-2019	3.2500667	9929.17114
SO	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.3438859	3393.00166	8.7431536	1982-1999 –> 2000-2012	2.5698940	7714.89798
SO	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.3410578	3390.84740	8.8474142	1982-1999 –> 2000-2012	2.5421243	7660.15364
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.3538090	3409.50911	8.8330092	1982-1999 –> 2000-2012	2.5728268	7718.21876
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.3537390	3411.40715	8.8090393	1982-1999 –> 2000-2012	2.5634430	7701.74580
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.2653421	3276.24231	8.5951579	1982-1999 –> 2000-2012	2.3760479	7337.81143
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3536424	3409.26645	8.8341457	1982-1999 –> 2000-2012	2.5704220	7713.09485
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.2504958	3254.96785	8.8179078	1982-1999 –> 2000-2012	2.3100525	7193.31986
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.3538499	3409.56880	8.8432786	1982-1999 –> 2000-2012	2.5685779	7708.91512
SO	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.3538018	3409.49867	8.7877315	1982-1999 –> 2000-2012	2.5704359	7713.00954
SO	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.3525419	3407.66265	8.8259138	1982-1999 –> 2000-2012	2.5682610	7709.17509
SO	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.3410129	1727.78850	7.3488073	2000-2012 –> 2013-2019	2.6848988	5120.79016
SO	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.3408761	1729.68628	7.3372014	2000-2012 –> 2013-2019	2.6819340	5120.53368
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.3500609	1736.52644	7.5809660	2000-2012 –> 2013-2019	2.7067428	5150.21594
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.3519692	1737.94174	7.5835208	2000-2012 –> 2013-2019	2.7057782	5147.45085
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.3456412	1735.24079	7.5491122	2000-2012 –> 2013-2019	2.6993802	5146.64794
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.2121865	1628.58699	5.0684020	2000-2012 –> 2013-2019	2.4775286	4904.82930
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3538920	1739.36575	7.6042080	2000-2012 –> 2013-2019	2.7075343	5148.63221
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.2079951	1627.11641	5.2971257	2000-2012 –> 2013-2019	2.4584909	4882.08426
SO	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.3494424	1736.06727	7.5660875	2000-2012 –> 2013-2019	2.7032442	5145.56594
SO	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.3524137	1738.27111	7.5850512	2000-2012 –> 2013-2019	2.7049556	5145.93376
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.4053051	20089.91033	11.9375596	1982-1999 –> 2000-2012	2.5548845	44647.68070
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.3980521	20030.85852	16.2130353	1982-1999 –> 2000-2012	2.5386331	44464.86029
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.3943725	20000.78277	11.3375927	1982-1999 –> 2000-2012	2.5414698	44524.51141
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.3624374	19738.37607	13.0115833	1982-1999 –> 2000-2012	2.4739503	43767.78116
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate	1.4175578	20186.97888	14.1837958	1982-1999 –> 2000-2012	2.5670731	44741.87158
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.4053605	20090.36016	11.9392595	1982-1999 –> 2000-2012	2.5548278	44646.59466
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.4052597	20091.54159	11.9334460	1982-1999 –> 2000-2012	2.5543901	44645.15958
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.4053450	20090.23409	11.9374306	1982-1999 –> 2000-2012	2.5548142	44646.49508
SO	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.3874461	19943.95359	11.9980032	1982-1999 –> 2000-2012	2.5210907	44281.88006
SO	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.4053801	20090.51895	11.9386896	1982-1999 –> 2000-2012	2.5547899	44645.96619
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.6650121	11521.04723	11.9966161	2000-2012 –> 2013-2019	3.0703172	31610.95756
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.6527850	11477.07393	13.1658103	2000-2012 –> 2013-2019	3.0508371	31507.93245
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.6501425	11467.52802	11.4493175	2000-2012 –> 2013-2019	3.0445150	31468.31079
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1.6200188	11359.61104	11.6237787	2000-2012 –> 2013-2019	2.9824562	31097.98711
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.6652217	11521.79825	12.0030996	2000-2012 –> 2013-2019	3.0705822	31612.15840
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.6642232	11520.21985	11.9356174	2000-2012 –> 2013-2019	3.0694829	31611.76144
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.6651465	11521.52892	11.9975638	2000-2012 –> 2013-2019	3.0704915	31611.76301
SO	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate	1.6511711	11469.24575	10.9842040	2000-2012 –> 2013-2019	3.0605283	31590.01365
SO	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.6479913	11459.74527	11.8014839	2000-2012 –> 2013-2019	3.0354374	31403.69887
SO	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.6652513	11521.90439	12.0018251	2000-2012 –> 2013-2019	3.0706314	31612.42334
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.6192583	756.36747	3.9003989	1982-1999 –> 2000-2012	1.2560218	1703.11610
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.6306582	770.77840	3.9032738	1982-1999 –> 2000-2012	1.2805809	1737.24570
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.6261242	767.07824	3.9106052	1982-1999 –> 2000-2012	1.2460146	1689.93813
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	0.5577484	673.72200	3.0423706	1982-1999 –> 2000-2012	1.1114802	1485.78274
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.6311745	771.42485	3.9353435	1982-1999 –> 2000-2012	1.2775375	1732.59774
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.4879377	570.08315	3.0195497	1982-1999 –> 2000-2012	1.0059634	1319.88766
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.6310747	771.29995	3.9251369	1982-1999 –> 2000-2012	1.2780864	1733.43984
SO	(28.1,28.15]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.6313006	771.58268	3.9128101	1982-1999 –> 2000-2012	1.2793316	1735.24001
SO	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.6309175	771.10314	3.9302967	1982-1999 –> 2000-2012	1.2776691	1732.85534
SO	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.6313729	769.67310	3.9006094	1982-1999 –> 2000-2012	1.2796034	1731.62729
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.5097400	328.42550	1.7503262	2000-2012 –> 2013-2019	1.1289983	1084.79297
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.5183658	335.50678	1.7276351	2000-2012 –> 2013-2019	1.1490240	1106.28518
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.4955878	318.54353	1.6507633	2000-2012 –> 2013-2019	1.1217120	1085.62177
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	0.5440130	355.88599	1.6262933	2000-2012 –> 2013-2019	1.1017613	1029.60799
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate	0.5188613	333.91000	1.7668314	2000-2012 –> 2013-2019	1.1500796	1103.38964
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.5188318	335.88601	1.7753940	2000-2012 –> 2013-2019	1.1500063	1107.31086
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.4316085	260.21233	1.3231744	2000-2012 –> 2013-2019	0.9195463	830.29548
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.5188594	335.90843	1.7690582	2000-2012 –> 2013-2019	1.1499341	1107.20837
SO	(28.1,28.15]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.5205660	337.29417	1.7497149	2000-2012 –> 2013-2019	1.1518666	1108.87685
SO	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.5185127	335.62634	1.7721955	2000-2012 –> 2013-2019	1.1494302	1106.72948
SO	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.3553865	379.93848	1.9731125	1982-1999 –> 2000-2012	0.7756295	1058.56619
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.3769475	436.01136	1.7616736	1982-1999 –> 2000-2012	0.7920706	1099.88046
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.3618898	397.20181	2.0579502	1982-1999 –> 2000-2012	0.7925566	1105.32943
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.3520565	372.97606	1.9959819	1982-1999 –> 2000-2012	0.7605206	1019.37514
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.3605892	393.77433	1.9967095	1982-1999 –> 2000-2012	0.7849647	1084.18392
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.3111574	255.41115	1.6951390	1982-1999 –> 2000-2012	0.6895740	809.81456
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.3608331	394.41794	2.0074159	1982-1999 –> 2000-2012	0.7859217	1086.84900
SO	(28.15,28.2]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.3617889	396.93655	2.0277799	1982-1999 –> 2000-2012	0.7885432	1094.07589
SO	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.3606141	393.84012	2.0025710	1982-1999 –> 2000-2012	0.7854607	1085.58551
SO	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.3650608	403.50733	2.1687881	1982-1999 –> 2000-2012	0.7971249	1113.53493
SO	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.3573550	204.27758	1.4555943	2000-2012 –> 2013-2019	0.7127415	584.21606
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.3606906	208.81150	1.4675434	2000-2012 –> 2013-2019	0.7225804	606.01331
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.3421119	185.00473	1.3751795	2000-2012 –> 2013-2019	0.6941684	557.98078
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate	0.3609925	207.21975	1.4736454	2000-2012 –> 2013-2019	0.7247223	607.24972
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.3609925	209.21975	1.4736507	2000-2012 –> 2013-2019	0.7215817	602.99408
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.3329328	171.73244	1.2085276	2000-2012 –> 2013-2019	0.6440902	427.14359
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.3609898	209.21605	1.4732233	2000-2012 –> 2013-2019	0.7218228	603.63398
SO	(28.15,28.2]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.3622568	210.92584	1.4717722	2000-2012 –> 2013-2019	0.7240457	607.86239
SO	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.3608360	209.00818	1.4729942	2000-2012 –> 2013-2019	0.7214502	602.84830
SO	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.3649259	212.50831	1.4454487	2000-2012 –> 2013-2019	0.7299868	616.01565
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	0.7468065	4396.24277	12.0893822	1982-1999 –> 2000-2012	1.3569627	9206.46456
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.7462676	4395.43297	12.0110983	1982-1999 –> 2000-2012	1.3537175	9184.58387
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	0.7394850	4359.89825	11.9462358	1982-1999 –> 2000-2012	1.3405188	9093.93866
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.7326692	4325.85957	12.2325861	1982-1999 –> 2000-2012	1.3311150	9039.50439
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate	0.7393611	4359.24580	12.5833679	1982-1999 –> 2000-2012	1.3473202	9152.74568
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.7370927	4349.28682	12.4914986	1982-1999 –> 2000-2012	1.3396670	9098.61276
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.7356597	4341.71311	12.3554892	1982-1999 –> 2000-2012	1.3359295	9071.15172
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.7214750	4267.93621	10.3943432	1982-1999 –> 2000-2012	1.3030614	8835.26896
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	0.7223332	4272.56263	13.4335742	1982-1999 –> 2000-2012	1.3505030	9239.79017
SO	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.7405969	4367.74573	8.3795106	1982-1999 –> 2000-2012	1.3246881	8955.38390
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	1.1094296	3067.75136	10.5584571	2000-2012 –> 2013-2019	1.8562361	7463.99413
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1.1090674	3069.09563	10.5033321	2000-2012 –> 2013-2019	1.8553349	7464.52860
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	1.1062601	3064.00663	10.4290694	2000-2012 –> 2013-2019	1.8457452	7423.90488
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.1040359	3061.96535	10.5121628	2000-2012 –> 2013-2019	1.8367052	7387.82492
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate	1.1078938	3066.96971	10.3927631	2000-2012 –> 2013-2019	1.8472548	7426.21551
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.1078161	3068.82889	10.3766864	2000-2012 –> 2013-2019	1.8449088	7418.11571
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.1026240	3059.39568	10.1143391	2000-2012 –> 2013-2019	1.8382837	7401.10880
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	0.8741619	2595.17329	6.9480042	2000-2012 –> 2013-2019	1.5956369	6863.10949
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1.1440247	3135.40995	10.2113112	2000-2012 –> 2013-2019	1.8663579	7407.97259
SO	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.8786272	2603.40431	6.7807580	2000-2012 –> 2013-2019	1.6192241	6971.15005

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	2.7226446	1159.8472
Atlantic	(-Inf,26]	2000-2012 –> 2013-2019	2.6724469	700.3097
Atlantic	(26,26.5]	1982-1999 –> 2000-2012	7.3998848	12608.2457
Atlantic	(26,26.5]	2000-2012 –> 2013-2019	7.7307956	8213.5602
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2012	7.0268935	15880.5819
Atlantic	(26.5,26.75]	2000-2012 –> 2013-2019	7.2153934	10317.7430
Atlantic	(26.75,27]	1982-1999 –> 2000-2012	3.9697143	20703.7880
Atlantic	(26.75,27]	2000-2012 –> 2013-2019	4.5030153	14660.4215
Atlantic	(27,27.25]	1982-1999 –> 2000-2012	3.5758210	17151.3325
Atlantic	(27,27.25]	2000-2012 –> 2013-2019	4.3988711	12392.7030
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2012	4.3458741	18285.3854
Atlantic	(27.25,27.5]	2000-2012 –> 2013-2019	5.2774756	12899.9559
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2012	3.7238524	19414.5214
Atlantic	(27.5,27.75]	2000-2012 –> 2013-2019	4.3391163	13542.0224
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2012	4.0973424	7914.4410
Atlantic	(27.75,27.85]	2000-2012 –> 2013-2019	4.0927727	4935.2032
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2012	6.8799543	8446.6286
Atlantic	(27.85,27.95]	2000-2012 –> 2013-2019	6.1752260	5277.0243
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2012	6.7867941	9294.0129
Atlantic	(27.95,28.05]	2000-2012 –> 2013-2019	6.1661510	5635.8792
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2012	0.2553266	-1235.3811
Atlantic	(28.05,28.1]	2000-2012 –> 2013-2019	0.2522552	-794.0536
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2012	0.3422611	-924.1296
Atlantic	(28.1,28.15]	2000-2012 –> 2013-2019	0.2953604	-799.9220
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2012	0.4025078	-1008.7940
Atlantic	(28.15,28.2]	2000-2012 –> 2013-2019	0.3930658	-816.6236
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2012	0.4278135	-522.9635
Atlantic	(28.2, Inf]	2000-2012 –> 2013-2019	0.3435438	-1051.4981
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2012	12.1606084	74463.1269
Indo-Pacific	(-Inf,26]	2000-2012 –> 2013-2019	11.9434088	48101.6006
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2012	8.3902703	72152.4004
Indo-Pacific	(26,26.5]	2000-2012 –> 2013-2019	8.5484804	46125.7419
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2012	7.3345681	55600.8876
Indo-Pacific	(26.5,26.75]	2000-2012 –> 2013-2019	7.4900932	35997.0612
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2012	7.4453276	61780.1077
Indo-Pacific	(26.75,27]	2000-2012 –> 2013-2019	8.3812305	41867.3831
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2012	7.1428211	56590.1535
Indo-Pacific	(27,27.25]	2000-2012 –> 2013-2019	8.3670353	39033.5438
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2012	5.6302222	42567.9928
Indo-Pacific	(27.25,27.5]	2000-2012 –> 2013-2019	6.2828291	28704.2609
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2012	3.4205152	29810.4097
Indo-Pacific	(27.5,27.75]	2000-2012 –> 2013-2019	3.9529937	20656.1587
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2012	2.7835068	9497.1825
Indo-Pacific	(27.75,27.85]	2000-2012 –> 2013-2019	3.0691707	6582.0229
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2012	2.3889915	12897.6268
Indo-Pacific	(27.85,27.95]	2000-2012 –> 2013-2019	2.6472567	9106.0357
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2012	1.2280679	6390.3427
Indo-Pacific	(27.95,28.05]	2000-2012 –> 2013-2019	1.3409813	4242.6126
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2012	0.9522937	3303.6391
Indo-Pacific	(28.05,28.1]	2000-2012 –> 2013-2019	0.8940339	1995.5832
Indo-Pacific	(28.1, Inf]	1982-1999 –> 2000-2012	1.4932710	50508.0543
Indo-Pacific	(28.1, Inf]	2000-2012 –> 2013-2019	1.5153257	32482.2737
SO	(26,26.5]	1982-1999 –> 2000-2012	4.0026426	865.2493
SO	(26,26.5]	2000-2012 –> 2013-2019	3.8303579	590.8169
SO	(26.5,26.75]	1982-1999 –> 2000-2012	5.0977245	3171.8567
SO	(26.5,26.75]	2000-2012 –> 2013-2019	4.7667120	2080.3545
SO	(26.75,27]	1982-1999 –> 2000-2012	5.1026778	12119.3058
SO	(26.75,27]	2000-2012 –> 2013-2019	4.8811061	7900.6469
SO	(27,27.25]	1982-1999 –> 2000-2012	3.6501853	23181.3960
SO	(27,27.25]	2000-2012 –> 2013-2019	3.6366910	15033.6455
SO	(27.25,27.5]	1982-1999 –> 2000-2012	2.8271079	22519.8257
SO	(27.25,27.5]	2000-2012 –> 2013-2019	3.3058235	15724.7267
SO	(27.5,27.75]	1982-1999 –> 2000-2012	2.5688282	24080.7808
SO	(27.5,27.75]	2000-2012 –> 2013-2019	2.9479020	16955.8878
SO	(27.75,27.85]	1982-1999 –> 2000-2012	2.5857455	9820.3192
SO	(27.75,27.85]	2000-2012 –> 2013-2019	2.6044409	6494.1935
SO	(27.85,27.95]	1982-1999 –> 2000-2012	3.1186162	11967.5572
SO	(27.85,27.95]	2000-2012 –> 2013-2019	3.0320244	7514.9242
SO	(27.95,28.05]	1982-1999 –> 2000-2012	3.1305837	14875.8227
SO	(27.95,28.05]	2000-2012 –> 2013-2019	3.2075228	9861.9372
SO	(28.05,28.1]	1982-1999 –> 2000-2012	2.5212085	7617.0342
SO	(28.05,28.1]	2000-2012 –> 2013-2019	2.6530488	5091.2684
SO	(28.1, Inf]	1982-1999 –> 2000-2012	2.5415923	44501.2801
SO	(28.1, Inf]	2000-2012 –> 2013-2019	3.0525279	31512.7007
SO	(28.1,28.15]	1982-1999 –> 2000-2012	1.2292289	1660.1731
SO	(28.1,28.15]	2000-2012 –> 2013-2019	1.1172359	1067.0119
SO	(28.15,28.2]	1982-1999 –> 2000-2012	0.7752366	1055.7195
SO	(28.15,28.2]	2000-2012 –> 2013-2019	0.7117190	581.5958
SO	(28.2, Inf]	1982-1999 –> 2000-2012	1.3383483	9087.7445
SO	(28.2, Inf]	2000-2012 –> 2013-2019	1.8005688	7322.7925

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() %>% 
  dplyr::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() %>% 
  dplyr::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 %>% dplyr::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$plot_all_figures == "y") {
  # mutate predictors column
  lm_best_plot <- lm_best_target %>%
    dplyr::select(basin, gamma_slab, model, eras, era) %>%
    mutate(
      predictors = str_remove(model, paste(params_local$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) %>%
              dplyr::select(lm_coeff) %>%
              pull()
            
            # fit model
            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() %>%
  dplyr::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 %>%
  dplyr::select(
    basin,
    gamma_slab,
    model,
    eras,
    era,
    starts_with("coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

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

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 6).

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
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
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
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
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]	10	2	6	8	10	5	8
(26,26.5]	7	4	4	8	10	9	9
(26.5,26.75]	9	2	7	8	6	10	8
(26.75,27]	9	2	7	8	6	10	8
(27,27.25]	9	3	6	8	8	10	7
(27.25,27.5]	10	7	3	6	7	7	9
(27.5,27.75]	6	4	4	10	10	5	10
(27.75,27.85]	8	2	7	9	9	8	8
(27.85,27.95]	7	4	5	9	7	10	9
(27.95,28.05]	6	8	2	10	6	5	10
(28.05,28.1]	7	2	6	9	8	10	8
(28.1,28.15]	8	6	4	9	6	8	9
(28.15,28.2]	10	10	0	6	8	5	6
(28.2, Inf]	10	10	0	5	8	6	6
total	116.00	66.00	61.00	113.00	109.00	108.00	115.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26]	8	3	6	9	10	7	8
(26,26.5]	7	4	4	8	10	9	9
(26.5,26.75]	9	2	7	8	7	10	7
(26.75,27]	9	2	7	8	7	10	7
(27,27.25]	8	2	6	8	10	10	5
(27.25,27.5]	10	10	0	5	8	6	6
(27.5,27.75]	6	4	4	10	10	5	10
(27.75,27.85]	8	2	7	8	9	9	8
(27.85,27.95]	7	4	5	9	7	10	9
(27.95,28.05]	6	8	2	10	6	5	10
(28.05,28.1]	7	2	6	9	8	10	8
(28.1,28.15]	9	6	4	9	7	8	8
(28.15,28.2]	10	10	0	6	8	5	6
(28.2, Inf]	10	10	0	5	8	6	6
total	114.00	69.00	58.00	112.00	115.00	110.00	107.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26]	9	2	7	8	10	6	8
(26,26.5]	9	2	6	8	6	10	9
(26.5,26.75]	8	5	5	9	8	7	9
(26.75,27]	10	0	10	8	6	5	6
(27,27.25]	10	2	8	10	5	6	6
(27.25,27.5]	9	3	6	8	8	10	7
(27.5,27.75]	8	2	6	9	9	10	6
(27.75,27.85]	9	2	7	9	7	9	8
(27.85,27.95]	10	5	4	8	8	9	7
(27.95,28.05]	8	3	6	9	7	10	8
(28.05,28.1]	8	3	6	8	8	10	8
(28.1, Inf]	6	4	4	9	8	10	9
total	104.00	33.00	75.00	103.00	90.00	102.00	91.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26]	8	4	5	9	10	6	8
(26,26.5]	9	2	7	8	6	10	8
(26.5,26.75]	7	7	3	10	6	7	9
(26.75,27]	10	2	8	10	6	5	6
(27,27.25]	10	2	8	10	5	6	6
(27.25,27.5]	8	5	5	10	6	8	8
(27.5,27.75]	8	2	6	9	9	10	6
(27.75,27.85]	8	1	8	8	8	9	8
(27.85,27.95]	9	4	5	7	8	9	9
(27.95,28.05]	8	2	7	8	9	9	8
(28.05,28.1]	8	3	6	8	9	10	7
(28.1, Inf]	7	4	5	9	7	10	9
total	100.00	38.00	73.00	106.00	89.00	99.00	92.00
SO - 1982-1999 --> 2000-2012
(26,26.5]	7	6	3	9	8	7	10
(26.5,26.75]	7	5	3	10	8	7	10
(26.75,27]	8	4	5	10	7	7	10
(27,27.25]	7	2	6	9	8	8	10
(27.25,27.5]	7	5	3	10	9	6	10
(27.5,27.75]	9	7	3	7	7	10	7
(27.75,27.85]	10	6	4	8	5	10	6
(27.85,27.95]	8	4	4	7	10	10	8
(27.95,28.05]	8	4	5	8	10	9	8
(28.05,28.1]	8	3	6	8	10	8	8
(28.1, Inf]	8	4	4	7	10	9	9
(28.1,28.15]	7	3	5	8	10	9	9
(28.15,28.2]	7	4	4	8	10	9	9
(28.2, Inf]	10	9	1	6	9	6	6
total	111.00	66.00	56.00	115.00	121.00	115.00	120.00
SO - 2000-2012 --> 2013-2019
(26,26.5]	9	5	5	9	8	6	8
(26.5,26.75]	9	5	4	10	6	6	10
(26.75,27]	7	3	5	10	8	7	10
(27,27.25]	7	2	6	9	8	8	10
(27.25,27.5]	8	5	4	8	9	9	9
(27.5,27.75]	8	8	2	7	8	10	6
(27.75,27.85]	8	5	4	8	9	10	8
(27.85,27.95]	9	3	5	9	8	10	7
(27.95,28.05]	7	3	5	9	10	9	8
(28.05,28.1]	8	4	6	8	10	7	8
(28.1, Inf]	7	5	4	7	10	9	9
(28.1,28.15]	8	3	5	7	10	9	9
(28.15,28.2]	7	3	4	7	10	10	9
(28.2, Inf]	10	9	1	6	9	6	6
total	112.00	63.00	60.00	114.00	123.00	116.00	117.00

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
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
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_0.7.3      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

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