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: 5

lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

• 86

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	423.554034	4.4283361	1982-1999 –> 2000-2012	2.7231087	1156.98425
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.3636465	425.526006	4.4922859	1982-1999 –> 2000-2012	2.7191247	1159.77882
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.3802669	428.409269	4.5549122	1982-1999 –> 2000-2012	2.7419291	1164.56474
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	1.3768938	425.826933	4.4581399	1982-1999 –> 2000-2012	2.7394384	1160.25321
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.3418670	421.694106	4.3785458	1982-1999 –> 2000-2012	2.7007540	1156.99681
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate_star	1.3804052	426.433111	4.4915042	1982-1999 –> 2000-2012	2.7438487	1161.13506
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3768691	427.822659	4.4329407	1982-1999 –> 2000-2012	2.7362549	1163.27875
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.3802012	428.397940	4.4188624	1982-1999 –> 2000-2012	2.7407403	1164.20852
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + phosphate + phosphate_star	1.3836048	426.984139	4.4866289	1982-1999 –> 2000-2012	2.7483345	1162.08020
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.3833849	428.946304	4.4111178	1982-1999 –> 2000-2012	2.7452995	1165.17924
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.4054885	282.935818	3.9251123	2000-2012 –> 2013-2019	2.7692956	706.48985
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.2649628	268.713111	3.2429425	2000-2012 –> 2013-2019	2.6286093	694.23912
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.3142537	274.599957	3.5232118	2000-2012 –> 2013-2019	2.6945206	703.00923
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	1.4035054	282.718370	4.1866862	2000-2012 –> 2013-2019	2.7803992	708.54530
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.4035041	284.718233	4.1934514	2000-2012 –> 2013-2019	2.7453711	706.41234
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate_star	1.4037130	282.741148	4.2803354	2000-2012 –> 2013-2019	2.7841182	709.17426
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.2633116	268.511958	3.2216456	2000-2012 –> 2013-2019	2.6401807	696.33462
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.2651521	268.736162	3.4086270	2000-2012 –> 2013-2019	2.6453533	697.13410
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.2701060	269.337984	3.2846073	2000-2012 –> 2013-2019	2.7091668	707.67515
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.2649436	268.710769	3.3919866	2000-2012 –> 2013-2019	2.6483285	697.65707
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.7628406	5288.184600	11.3375828	1982-1999 –> 2000-2012	7.2078157	12483.61709
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate	4.2941070	5540.022111	16.1860982	1982-1999 –> 2000-2012	8.1714343	13053.14686
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.7564758	5284.930800	10.9732242	1982-1999 –> 2000-2012	7.3149139	12567.98652
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	3.8388894	5326.641770	13.1135976	1982-1999 –> 2000-2012	7.5975826	12757.74052
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.8831707	5348.685012	14.5311740	1982-1999 –> 2000-2012	7.3879064	12590.62207
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.9072440	5360.563472	15.3378774	1982-1999 –> 2000-2012	7.4211930	12609.59949
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.9513993	5382.161942	15.7450319	1982-1999 –> 2000-2012	7.4837437	12645.31643
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.9112285	5362.522502	15.4201430	1982-1999 –> 2000-2012	7.4283037	12613.96304
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	4.0273188	5416.739687	13.3291126	1982-1999 –> 2000-2012	7.8110581	12863.79677
Atlantic	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.3709886	5576.129132	10.9104270	1982-1999 –> 2000-2012	8.6530902	13359.75528
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.8929192	2886.553162	14.0342310	2000-2012 –> 2013-2019	7.6557598	8174.73776
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate	4.0265363	2919.447782	16.2823287	2000-2012 –> 2013-2019	8.3206433	8459.46989
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.7842484	2857.278535	14.0486463	2000-2012 –> 2013-2019	7.5407242	8142.20933
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	3.6949993	2832.600149	13.5177254	2000-2012 –> 2013-2019	7.5338887	8159.24192
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.9935719	2912.947801	14.5586230	2000-2012 –> 2013-2019	7.8767425	8261.63281
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.0072975	2916.495492	14.9495014	2000-2012 –> 2013-2019	7.9145415	8277.05896
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.9677390	2906.237542	14.3154329	2000-2012 –> 2013-2019	7.9191383	8288.39948
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.0057160	2916.087346	14.8955511	2000-2012 –> 2013-2019	7.9169446	8278.60985
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	4.0401969	2922.949844	15.7279649	2000-2012 –> 2013-2019	8.0675157	8339.68953
Atlantic	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.6363917	3067.272696	15.1290688	2000-2012 –> 2013-2019	9.0073803	8643.40183
Atlantic	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3.2896956	6567.650766	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	6544.665094	17.4967787	1982-1999 –> 2000-2012	7.0071100	15866.03893
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.2738114	6557.492264	18.0106959	1982-1999 –> 2000-2012	7.0696165	15920.12015
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.2894706	6569.478912	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	6573.263968	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	6583.853951	15.2542048	1982-1999 –> 2000-2012	6.9957282	15848.06404
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	3.3385662	6604.693674	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	6527.881649	15.1116310	1982-1999 –> 2000-2012	6.9267294	15795.68403
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate_star	3.3655174	6624.890876	16.9910341	1982-1999 –> 2000-2012	7.1958209	16016.24407
Atlantic	(26.5,26.75]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3.3734894	6630.834081	17.0359777	1982-1999 –> 2000-2012	7.2128750	16030.23006
Atlantic	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3.9607027	3763.373109	13.9189040	2000-2012 –> 2013-2019	7.2503983	10331.02387
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate	4.0142366	3781.390440	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	3759.623757	14.3643903	2000-2012 –> 2013-2019	7.2009075	10304.28885
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.9718753	3769.153381	14.7618185	2000-2012 –> 2013-2019	7.2456867	10326.64565
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.9957853	3777.207767	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	3779.143530	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	3761.834150	12.7862839	2000-2012 –> 2013-2019	7.2586205	10345.68810
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	4.0221675	3784.039196	14.2652203	2000-2012 –> 2013-2019	7.3607337	10388.73287
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.8098123	3713.247776	12.7062448	2000-2012 –> 2013-2019	7.0452597	10241.12943
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate_star	4.0542137	3794.689080	14.4584153	2000-2012 –> 2013-2019	7.4197311	10419.57996
Atlantic	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2.1144549	9311.585705	16.8150352	1982-1999 –> 2000-2012	3.9607653	20675.05162
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	2.1993995	9480.557155	15.9655409	1982-1999 –> 2000-2012	4.2126390	21327.52428
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.0674038	9217.045953	16.4678092	1982-1999 –> 2000-2012	3.8697594	20447.91841
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.1240860	9333.081699	16.6465660	1982-1999 –> 2000-2012	3.9816674	20732.54428
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1639482	9412.844942	16.8576835	1982-1999 –> 2000-2012	4.0651256	20941.89188
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.1799332	9444.418513	16.9171523	1982-1999 –> 2000-2012	4.0982392	21023.56699
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.1939659	9471.945683	13.7137680	1982-1999 –> 2000-2012	4.1337973	21113.42590
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	2.2357799	9550.937872	17.5492900	1982-1999 –> 2000-2012	4.1868759	21222.76213
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.9507540	8967.892712	18.6204117	1982-1999 –> 2000-2012	3.7278859	20120.03788
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate_star	2.2829975	9640.595238	17.7857854	1982-1999 –> 2000-2012	4.2859626	21458.98161
Atlantic	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2.5206878	5486.346699	14.9695607	2000-2012 –> 2013-2019	4.6351427	14797.93240
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.4413149	5413.606396	11.8154257	2000-2012 –> 2013-2019	4.8183337	15229.33671
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	2.3630156	5335.457017	12.8443570	2000-2012 –> 2013-2019	4.5624151	14816.01417
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.3488584	5323.419515	13.2797643	2000-2012 –> 2013-2019	4.4162622	14540.46547
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate_star	2.4448020	5414.940628	12.1284603	2000-2012 –> 2013-2019	4.8256787	15235.62805
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.3596927	5334.169809	13.1100755	2000-2012 –> 2013-2019	4.4837787	14667.25151
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.3847969	5358.890586	13.2739528	2000-2012 –> 2013-2019	4.5487450	14771.73553
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.3941428	5368.027390	13.3139040	2000-2012 –> 2013-2019	4.5740760	14812.44590
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.5882103	5550.098437	14.4123879	2000-2012 –> 2013-2019	4.7821761	15022.04412
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.3854413	5359.521729	13.5513600	2000-2012 –> 2013-2019	4.3361952	14327.41444
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.0682633	7849.905731	10.7669065	1982-1999 –> 2000-2012	3.9167178	18217.41032
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	2.0435939	7804.084338	14.4479235	1982-1999 –> 2000-2012	3.5308801	17062.60456
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.0386990	7797.326398	14.7223520	1982-1999 –> 2000-2012	3.4258901	16703.07597
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate_star	2.1489880	7987.732632	13.4660156	1982-1999 –> 2000-2012	3.9998959	18359.99140
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.3511711	8318.107742	12.8882904	1982-1999 –> 2000-2012	4.0428033	18234.17590
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.0424220	7803.989555	14.5801203	1982-1999 –> 2000-2012	3.4506473	16786.37031
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.0621160	7839.035073	14.5678114	1982-1999 –> 2000-2012	3.5029894	16938.12029
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.0674613	7848.489349	14.5590251	1982-1999 –> 2000-2012	3.5191192	16985.54483
Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.1365067	7968.460002	16.5166365	1982-1999 –> 2000-2012	3.8400212	17920.17023
Atlantic	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.3176418	8265.652871	16.9239274	1982-1999 –> 2000-2012	3.9638455	18043.10640
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.2669951	4502.211862	10.3849498	2000-2012 –> 2013-2019	4.3352584	12352.11759
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	2.3852971	4602.253974	13.8699421	2000-2012 –> 2013-2019	4.4288909	12406.33831
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.3630967	4585.496415	13.1963695	2000-2012 –> 2013-2019	4.4017957	12382.82281
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate_star	2.3685485	4588.118982	12.9739556	2000-2012 –> 2013-2019	4.5175364	12575.85161
Atlantic	(27,27.25]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2.3793155	4597.217231	12.7729726	2000-2012 –> 2013-2019	4.5707731	12656.41915
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.4956282	4694.958937	17.4135952	2000-2012 –> 2013-2019	4.6150500	12634.09781
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.3534248	4577.269188	13.0320655	2000-2012 –> 2013-2019	4.3958468	12381.25874
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.3666942	4588.547926	13.1119369	2000-2012 –> 2013-2019	4.4288102	12427.58300
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.4938884	4693.559965	14.2631541	2000-2012 –> 2013-2019	4.7180216	12808.81276
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.3702237	4591.537240	13.1082227	2000-2012 –> 2013-2019	4.4376849	12440.02659
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2.7238437	8529.016536	18.8065262	1982-1999 –> 2000-2012	4.6400601	18821.25513
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.7141134	8518.426820	18.2217913	1982-1999 –> 2000-2012	4.6192019	18783.73089
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate	2.4826681	8202.862146	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	7859.746541	11.7784240	1982-1999 –> 2000-2012	3.8562922	17275.39640
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.3716564	8043.930575	13.8422521	1982-1999 –> 2000-2012	4.2067030	18123.14014
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.7232237	8530.215738	18.7033445	1982-1999 –> 2000-2012	4.6391007	18823.57401
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.7163768	8521.359446	18.4339523	1982-1999 –> 2000-2012	4.6387543	18831.54556
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + phosphate_star	2.5920191	8354.499666	14.5541445	1982-1999 –> 2000-2012	4.3555776	18234.29986
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	2.5539171	8302.402158	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	8304.331466	14.3950791	1982-1999 –> 2000-2012	4.2816260	18084.24905
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate	2.7452379	4649.020007	15.3946796	2000-2012 –> 2013-2019	5.5168707	13237.22374
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + phosphate_star	2.7153537	4630.114013	15.6930546	2000-2012 –> 2013-2019	5.3859285	13089.64919
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate	2.6878637	4610.678820	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	4612.067500	13.2079246	2000-2012 –> 2013-2019	5.2891445	12982.27823
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate	2.7028398	4621.291352	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	4581.789980	15.3276233	2000-2012 –> 2013-2019	4.8954281	12441.53652
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.6572829	4590.823530	12.8447541	2000-2012 –> 2013-2019	5.0289394	12634.75411
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + phosphate_star	3.1262359	4899.247309	15.2877614	2000-2012 –> 2013-2019	5.7182550	13253.74697
Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	3.1456553	4911.075049	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	4843.032223	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	8408.104100	15.9390463	1982-1999 –> 2000-2012	3.7393396	19444.03561
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.9834959	8399.744587	15.8043360	1982-1999 –> 2000-2012	3.7532827	19492.93750
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate_star	1.9893095	8409.410418	15.9241022	1982-1999 –> 2000-2012	3.7597080	19502.52763
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.9528629	8337.704694	17.8790203	1982-1999 –> 2000-2012	3.6955948	19345.12197
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + phosphate_star	1.9893455	8409.482409	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	8337.760471	17.8850018	1982-1999 –> 2000-2012	3.7022054	19366.17163
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + phosphate + phosphate_star	1.9893337	8409.458764	15.9325158	1982-1999 –> 2000-2012	3.7594100	19501.56286
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + phosphate_star	1.9893762	8407.544080	15.9648124	1982-1999 –> 2000-2012	3.8377481	19738.64511
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.9528915	8337.763044	17.8851630	1982-1999 –> 2000-2012	3.6953389	19344.27136
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.9530304	8336.046421	17.9396728	1982-1999 –> 2000-2012	3.7778857	19597.85215
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.4053274	5204.371468	16.1009025	2000-2012 –> 2013-2019	4.4472521	13719.83748
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.3799529	5180.403461	14.1059693	2000-2012 –> 2013-2019	4.3676130	13588.50756
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.3740985	5174.837302	13.8742018	2000-2012 –> 2013-2019	4.3575945	13574.58189
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate_star	2.3896676	5187.609732	14.3833802	2000-2012 –> 2013-2019	4.3789771	13597.02015
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.3547949	5156.386266	16.1730155	2000-2012 –> 2013-2019	4.3076578	13494.09096
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + phosphate_star	2.3946591	5192.325450	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	5160.816150	16.2885657	2000-2012 –> 2013-2019	4.3123053	13498.57662
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + phosphate + phosphate_star	2.3915672	5189.405547	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	5158.053823	16.2223714	2000-2012 –> 2013-2019	4.3094245	13495.81687
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate_star	2.4631998	5256.103499	17.6227505	2000-2012 –> 2013-2019	4.4162302	13592.14992
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2.2161217	3360.622196	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	3303.553374	11.8717788	1982-1999 –> 2000-2012	4.0607502	7881.08037
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.2070364	3356.410831	12.3482020	1982-1999 –> 2000-2012	4.2309512	8038.90161
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate	2.2231780	3365.428852	12.8607687	1982-1999 –> 2000-2012	4.2368677	8034.78695
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.1835030	3340.201927	12.7164943	1982-1999 –> 2000-2012	4.1493501	7958.70807
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.1411702	3310.600049	11.8750181	1982-1999 –> 2000-2012	4.0813579	7900.22781
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1604361	3324.143938	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	3320.331796	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	3324.993460	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	3324.974969	11.7962753	1982-1999 –> 2000-2012	4.1050144	7918.22810
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2.0928287	1673.240448	12.4032659	2000-2012 –> 2013-2019	4.3089504	5033.86264
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate	1.9646130	1624.560026	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	1610.896859	11.1777569	2000-2012 –> 2013-2019	4.0562675	4914.45023
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.0014561	1640.866391	12.0167513	2000-2012 –> 2013-2019	4.1849591	4981.06832
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.9316159	1613.517487	11.1768171	2000-2012 –> 2013-2019	4.0727861	4924.11754
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.9516171	1621.449583	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	1619.536203	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	1621.897642	11.2180083	2000-2012 –> 2013-2019	4.1144034	4946.89110
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate_star	2.0407585	1653.840255	11.6496145	2000-2012 –> 2013-2019	4.3007227	5044.08296
Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.9661559	1627.164498	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	3387.207274	21.4785697	1982-1999 –> 2000-2012	6.9328423	8471.87201
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.2195921	3389.003936	21.5396430	1982-1999 –> 2000-2012	6.9372618	8473.66199
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.2245363	3391.004909	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	3383.638602	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	3391.390456	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	3355.996923	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	3392.653575	21.5066688	1982-1999 –> 2000-2012	6.9470159	8477.67627
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate_star	3.2287245	3390.697507	21.5268321	1982-1999 –> 2000-2012	6.9475276	8473.92131
Atlantic	(27.85,27.95]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3.2117179	3383.810812	21.3292212	1982-1999 –> 2000-2012	6.9104430	8456.98685
Atlantic	(27.85,27.95]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3.2289226	3390.777507	21.5411609	1982-1999 –> 2000-2012	6.9479656	8474.12106
Atlantic	(27.85,27.95]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3.0344271	1908.720879	20.8484604	2000-2012 –> 2013-2019	6.2689394	5301.75383
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.0296843	1909.547724	20.8156211	2000-2012 –> 2013-2019	6.2448435	5296.75500
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.0309278	1909.855472	20.8809382	2000-2012 –> 2013-2019	6.2505198	5298.85941
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.0326885	1910.291049	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	1904.756396	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	1910.366517	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	1841.393655	19.0028038	2000-2012 –> 2013-2019	5.9056294	5197.39058
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	3.0399539	1910.085671	20.9380173	2000-2012 –> 2013-2019	6.2695658	5301.14152
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.0294887	1909.499299	20.6606437	2000-2012 –> 2013-2019	6.2581044	5302.15287
Atlantic	(27.85,27.95]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3.0229818	1905.886669	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	3610.892774	25.2437937	1982-1999 –> 2000-2012	5.7502383	8738.38708
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.6419355	3994.414180	15.1899916	1982-1999 –> 2000-2012	7.7976852	9826.07478
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.7751661	4047.158135	32.6452313	1982-1999 –> 2000-2012	8.0691975	9945.79079
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + phosphate_star	3.4812873	3926.188091	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	3923.260183	30.8676062	1982-1999 –> 2000-2012	7.4020580	9641.91322
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.7708319	4045.471753	32.4678286	1982-1999 –> 2000-2012	8.0599302	9941.75256
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + phosphate_star	2.8674157	3641.409341	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	3555.452251	17.7461268	1982-1999 –> 2000-2012	5.5237418	8596.00145
Atlantic	(27.95,28.05]	cstar_tref ~ temp + nitrate + phosphate_star	3.4883352	3927.157099	28.0003328	1982-1999 –> 2000-2012	7.4767316	9670.71973
Atlantic	(27.95,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3.4873826	3928.756161	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	1654.555820	17.1754449	2000-2012 –> 2013-2019	5.0125249	5265.44859
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.7059856	2038.834737	15.4825157	2000-2012 –> 2013-2019	7.3479211	6033.24892
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.8956543	2075.869731	19.5875468	2000-2012 –> 2013-2019	7.6708204	6123.02787
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + phosphate_star	3.5736134	2009.846711	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	1999.161838	19.0033544	2000-2012 –> 2013-2019	6.9826605	5922.42202
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.8902447	2074.838653	19.5293816	2000-2012 –> 2013-2019	7.6610765	6120.31041
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + phosphate_star	2.3549206	1700.380598	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	1428.918539	17.6973562	2000-2012 –> 2013-2019	4.3296458	4984.37079
Atlantic	(27.95,28.05]	cstar_tref ~ temp + nitrate + phosphate_star	3.5736166	2007.847361	18.6558890	2000-2012 –> 2013-2019	7.0619518	5935.00446
Atlantic	(27.95,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3.5277605	2000.264526	19.2924013	2000-2012 –> 2013-2019	7.0151432	5929.02069
Atlantic	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	0.1477371	-391.586583	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	-552.835931	0.4907036	1982-1999 –> 2000-2012	0.2468317	-1293.48446
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.1760064	-246.366315	0.6281046	1982-1999 –> 2000-2012	0.3353061	-714.77273
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.1256242	-522.216783	0.4975433	1982-1999 –> 2000-2012	0.2534330	-1244.79394
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.1311055	-487.282364	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	-489.526965	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	-486.672510	0.5244465	1982-1999 –> 2000-2012	0.2617634	-1184.67026
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.1343328	-469.389855	0.5909933	1982-1999 –> 2000-2012	0.2680506	-1141.81026
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate	0.1691628	-280.807231	0.9181431	1982-1999 –> 2000-2012	0.3334241	-715.81871
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.1067942	-655.052768	0.4432560	1982-1999 –> 2000-2012	0.2261343	-1456.74534
Atlantic	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	0.1719962	-136.143330	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	-293.100760	0.5893991	2000-2012 –> 2013-2019	0.2402575	-845.93669
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.1856628	-100.959994	0.7392499	2000-2012 –> 2013-2019	0.3616692	-347.32631
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.1198306	-290.988197	0.5979588	2000-2012 –> 2013-2019	0.2454548	-813.20498
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.1212919	-285.727742	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	-294.196914	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	-286.106368	0.6087382	2000-2012 –> 2013-2019	0.2523894	-772.77888
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.1306746	-255.390208	0.5128206	2000-2012 –> 2013-2019	0.2650074	-724.78006
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate	0.1926997	-86.814750	0.8114619	2000-2012 –> 2013-2019	0.3618625	-367.62198
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.1205182	-288.504785	0.5157633	2000-2012 –> 2013-2019	0.2273125	-943.55755
Atlantic	(28.1,28.15]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	0.1864976	-300.478280	0.9104313	1982-1999 –> 2000-2012	0.3704304	-704.78404
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.1856637	-303.855649	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	-590.430434	0.5791654	1982-1999 –> 2000-2012	0.3077446	-1189.96097
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.1863181	-299.633609	1.0241429	1982-1999 –> 2000-2012	0.3694422	-708.62820
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.1792358	-346.137083	0.7660562	1982-1999 –> 2000-2012	0.3543540	-822.99151
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + nitrate + phosphate_star	0.1620427	-469.148476	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	-541.328385	0.8462439	1982-1999 –> 2000-2012	0.3122188	-1156.28445
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate	0.1863369	-301.512645	1.0049036	1982-1999 –> 2000-2012	0.3695633	-711.65912
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.1862512	-300.064557	0.9720727	1982-1999 –> 2000-2012	0.3694722	-708.25634
Atlantic	(28.1,28.15]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	0.1850378	-309.908102	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	-470.521953	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	-363.510354	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	-365.274689	0.5784177	2000-2012 –> 2013-2019	0.2748199	-955.70512
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.1327885	-346.035330	0.8004139	2000-2012 –> 2013-2019	0.3191066	-645.66894
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.1359748	-331.808164	0.8217690	2000-2012 –> 2013-2019	0.3231434	-625.97694
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.1419750	-305.899601	0.6830005	2000-2012 –> 2013-2019	0.3212108	-652.03668
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + nitrate + phosphate_star	0.1323874	-349.850572	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	-432.018600	0.7844711	2000-2012 –> 2013-2019	0.2673889	-973.34699
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate	0.1358527	-334.347217	0.6907496	2000-2012 –> 2013-2019	0.3221896	-635.85986
Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.1358330	-332.434259	0.7020793	2000-2012 –> 2013-2019	0.3220842	-632.49882
Atlantic	(28.15,28.2]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	0.2404612	-2.605702	1.2588954	1982-1999 –> 2000-2012	0.5971189	1288.88491
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate	0.2067658	-356.975025	1.1215841	1982-1999 –> 2000-2012	0.4392854	-478.37404
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.1937185	-507.107103	0.9301837	1982-1999 –> 2000-2012	0.4246922	-648.50615
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate	0.2062234	-361.105581	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	-1263.655462	0.6793611	1982-1999 –> 2000-2012	0.3136259	-2343.67973
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate	0.1905543	-545.544370	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	-544.331977	0.9741278	1982-1999 –> 2000-2012	0.4214071	-684.53994
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.1553963	-1019.584837	0.7410565	1982-1999 –> 2000-2012	0.3517228	-1694.98985
Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + phosphate_star	0.2316081	-90.159381	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	-509.263006	0.8011848	1982-1999 –> 2000-2012	0.4118498	-832.12234
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate	0.2246267	-75.384786	1.1638056	2000-2012 –> 2013-2019	0.4313924	-432.35981
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.2244180	-74.451556	1.1699094	2000-2012 –> 2013-2019	0.4181365	-581.55866
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + nitrate + silicate	0.2158617	-119.077080	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	-428.817456	0.8755753	2000-2012 –> 2013-2019	0.3044960	-1692.47292
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate	0.2245236	-73.911397	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	-104.486957	1.0344976	2000-2012 –> 2013-2019	0.4087322	-648.81893
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.1978191	-217.280325	0.9886506	2000-2012 –> 2013-2019	0.3532154	-1236.86516
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.3221742	342.644397	1.2266393	2000-2012 –> 2013-2019	0.6075894	742.05387
Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + phosphate_star	0.2456825	29.476260	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	-144.524944	1.0754262	2000-2012 –> 2013-2019	0.4041357	-653.78795
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	0.2027644	-323.745453	1.3236913	1982-1999 –> 2000-2012	0.4770194	20.90002
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.1612281	-754.521365	0.7013582	1982-1999 –> 2000-2012	0.3907603	-883.53202
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	0.1811854	-534.190764	0.8314641	1982-1999 –> 2000-2012	0.4255621	-495.75317
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.1540245	-838.819290	0.7940144	1982-1999 –> 2000-2012	0.3817040	-987.48419
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate	0.1737092	-613.747512	0.8205860	1982-1999 –> 2000-2012	0.4323648	-423.57692
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.1562692	-811.502303	0.7844382	1982-1999 –> 2000-2012	0.3548537	-1325.49576
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.1737076	-611.765513	0.8224647	1982-1999 –> 2000-2012	0.4175562	-577.10867
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + phosphate_star	0.2029763	-319.773960	1.0023410	1982-1999 –> 2000-2012	0.5420038	593.39709
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate	0.1896512	-447.973968	1.0756693	1982-1999 –> 2000-2012	0.5289749	467.53040
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.1892035	-450.436338	1.1010920	1982-1999 –> 2000-2012	0.5263210	449.63897
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	0.1818778	-343.426191	1.3962817	2000-2012 –> 2013-2019	0.3846422	-667.17164
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.1636319	-472.301950	0.5912036	2000-2012 –> 2013-2019	0.3248601	-1226.82331
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	0.1754959	-385.647229	0.8287117	2000-2012 –> 2013-2019	0.3566813	-919.83799
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.1561529	-528.220834	0.5061359	2000-2012 –> 2013-2019	0.3101774	-1367.04012
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate	0.1698736	-425.957574	0.5784002	2000-2012 –> 2013-2019	0.3435828	-1039.70509
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.1611112	-489.522041	0.6063632	2000-2012 –> 2013-2019	0.3173804	-1301.02434
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.1695359	-426.420988	0.5536780	2000-2012 –> 2013-2019	0.3432435	-1038.18650
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + phosphate_star	0.1958321	-249.910014	0.5984421	2000-2012 –> 2013-2019	0.3988084	-569.68397
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate	0.1865046	-310.326732	0.5695925	2000-2012 –> 2013-2019	0.3761558	-758.30070
Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.1864053	-308.985880	0.5676698	2000-2012 –> 2013-2019	0.3756088	-759.42222
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	6.0837132	31283.722378	63.6717482	1982-1999 –> 2000-2012	12.2888053	74698.08555
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.9606796	31087.585116	61.6153894	1982-1999 –> 2000-2012	12.0576870	74268.86729
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5.8529522	30910.709975	37.6186313	1982-1999 –> 2000-2012	11.8564352	73885.19145
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	6.1882231	31448.906103	68.8278245	1982-1999 –> 2000-2012	12.5120199	75116.77578
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.0837034	31285.706772	63.6051352	1982-1999 –> 2000-2012	12.2881856	74700.75486
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.0468752	31226.820760	66.8391133	1982-1999 –> 2000-2012	12.2526122	74644.57419
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.0957510	31304.892786	67.2549537	1982-1999 –> 2000-2012	12.3560071	74839.66227
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate_star	6.0711207	31263.627958	55.9936109	1982-1999 –> 2000-2012	12.5271970	75208.44875
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6.0605381	31248.708615	57.8052443	1982-1999 –> 2000-2012	12.5159742	75194.20271
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.1003004	31312.128030	67.3246057	1982-1999 –> 2000-2012	12.3721924	74871.74001
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	6.0467432	17050.518508	24.2960391	2000-2012 –> 2013-2019	12.1304564	48334.24089
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.9589690	16975.107852	20.4058639	2000-2012 –> 2013-2019	11.9196486	48062.69297
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5.7925393	16825.146245	30.2853066	2000-2012 –> 2013-2019	11.6454915	47735.85622
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.0463409	17052.166247	24.0209227	2000-2012 –> 2013-2019	12.1300443	48337.87302
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.0327655	17040.266634	19.2296680	2000-2012 –> 2013-2019	12.0796407	48267.08739
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.0785833	17080.321715	19.4707876	2000-2012 –> 2013-2019	12.1743342	48385.21450
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate_star	5.9576595	16971.944353	20.6918724	2000-2012 –> 2013-2019	12.0287802	48235.57231
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5.9531118	16969.901684	20.5868856	2000-2012 –> 2013-2019	12.0136499	48218.61030
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.0788601	17080.562865	19.4967712	2000-2012 –> 2013-2019	12.1791606	48392.69089
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate_star	6.0789055	17078.602355	19.5112157	2000-2012 –> 2013-2019	12.2082635	48434.81529
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.0651533	29424.169221	46.3858504	1982-1999 –> 2000-2012	8.0556619	71150.29062
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4.5737529	30652.977699	46.6637925	1982-1999 –> 2000-2012	8.9070724	73605.60159
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.1267294	29580.880811	42.5143629	1982-1999 –> 2000-2012	8.1586753	71460.73948
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.1949147	29751.707402	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	29774.548859	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	30045.675846	46.6769259	1982-1999 –> 2000-2012	8.5261254	72572.96976
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	4.4495704	30364.041145	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	30359.407036	42.8462783	1982-1999 –> 2000-2012	8.8576747	73576.22900
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate_star	4.4740845	30421.312668	40.7843471	1982-1999 –> 2000-2012	8.9006410	73688.74624
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	4.4794998	30433.921948	40.5642655	1982-1999 –> 2000-2012	8.9123825	73722.60860
Indo-Pacific	(26,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.4906172	16509.405239	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	16018.520832	45.4759232	2000-2012 –> 2013-2019	8.1805000	45442.69005
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.2579641	16210.937159	42.6080320	2000-2012 –> 2013-2019	8.3846935	45791.81797
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.3523109	16334.717709	41.0862615	2000-2012 –> 2013-2019	8.5472256	46086.42511
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4.4848119	16504.098967	39.6379956	2000-2012 –> 2013-2019	8.9975749	47017.13990
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.3595277	16344.075222	40.9601122	2000-2012 –> 2013-2019	8.5636445	46118.62408
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	4.4897583	16508.324899	39.1411185	2000-2012 –> 2013-2019	9.0255590	47072.44514
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.3289200	16304.281419	48.9397964	2000-2012 –> 2013-2019	8.6438199	46349.95726
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	4.5126870	16537.095127	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	16509.745450	44.1526082	2000-2012 –> 2013-2019	8.9360372	46869.15249
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	3.9254164	23913.833280	23.7480774	1982-1999 –> 2000-2012	7.6133079	56275.97900
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.6345743	23255.495034	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	23411.210437	38.4226522	1982-1999 –> 2000-2012	7.3016884	55490.65498
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.8274006	23698.925101	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	23669.513415	27.8737743	1982-1999 –> 2000-2012	7.4333368	55809.83291
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.9147888	23892.577954	27.1618613	1982-1999 –> 2000-2012	7.6143684	56294.30282
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + phosphate_star	3.7187975	23450.002981	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	23352.115137	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	23498.021182	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	23287.850078	33.0480082	1982-1999 –> 2000-2012	7.3670459	55750.91244
Indo-Pacific	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.0511182	12906.854465	37.2748333	2000-2012 –> 2013-2019	7.8623274	36567.41429
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.8503468	12676.257643	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	12661.573442	52.6641407	2000-2012 –> 2013-2019	7.5391658	36072.78388
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + phosphate_star	3.8620456	12688.140119	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	12585.197412	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	12766.534454	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	12561.436610	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	12625.483349	34.8263061	2000-2012 –> 2013-2019	7.4561696	35913.33343
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + nitrate + phosphate_star	3.9608014	12801.681333	45.4421652	2000-2012 –> 2013-2019	7.8053079	36534.85900
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3.8726721	12700.713778	42.5287212	2000-2012 –> 2013-2019	7.6672905	36323.85087
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + phosphate + phosphate_star	4.1971664	27339.368788	27.2326469	1982-1999 –> 2000-2012	7.9050265	63202.68113
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.1941303	27334.437742	27.1350375	1982-1999 –> 2000-2012	7.9003176	63193.82241
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	3.9389706	26733.259540	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	26735.062489	18.6208614	1982-1999 –> 2000-2012	7.3272283	61418.62193
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4.3041247	27584.391189	27.4662559	1982-1999 –> 2000-2012	8.0555103	63605.00516
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate	4.2834965	27536.376628	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	26171.581758	24.5830579	1982-1999 –> 2000-2012	6.9492406	60248.40260
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.2833176	27537.976697	27.1364912	1982-1999 –> 2000-2012	8.0041201	63451.06070
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.7456751	26251.317838	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	26239.857437	24.0504296	1982-1999 –> 2000-2012	7.0436802	60589.39130
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + phosphate + phosphate_star	4.6361462	15329.240533	21.1454106	2000-2012 –> 2013-2019	8.8333127	42668.60932
Indo-Pacific	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.6207872	15314.024757	20.8860072	2000-2012 –> 2013-2019	8.8149175	42648.46250
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.4245386	15088.870290	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	15086.305674	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	15460.518170	22.7833911	2000-2012 –> 2013-2019	9.0554166	43044.90936
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate	4.7852878	15495.506619	21.9772449	2000-2012 –> 2013-2019	9.0687843	43031.88325
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.1082203	14706.044787	24.8854612	2000-2012 –> 2013-2019	7.8220668	40877.62655
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.7791734	15490.873465	22.0058435	2000-2012 –> 2013-2019	9.0624911	43028.85016
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.1158173	14713.629630	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	14715.475344	24.9554630	2000-2012 –> 2013-2019	7.8561096	40955.33278
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + phosphate + phosphate_star	4.1475398	25702.425964	45.2579136	1982-1999 –> 2000-2012	7.7627119	58507.48374
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.0366931	25459.482542	39.0541340	1982-1999 –> 2000-2012	7.4838942	57689.52858
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.1048791	25610.940130	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	25376.902099	40.3768785	1982-1999 –> 2000-2012	7.3985846	57439.86554
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.6478560	24545.652503	37.9748366	1982-1999 –> 2000-2012	6.6978707	55293.03453
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.3216735	26078.299649	38.0581375	1982-1999 –> 2000-2012	7.9645841	58980.05811
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.1862269	25790.376152	47.5865904	1982-1999 –> 2000-2012	7.8828422	58869.62383
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.6510474	24551.559554	37.5062127	1982-1999 –> 2000-2012	6.7221289	55380.42319
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate	4.3218653	26076.700869	38.2244416	1982-1999 –> 2000-2012	7.9654667	58978.75894
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.2728301	23564.735533	24.4480725	1982-1999 –> 2000-2012	5.9722600	52831.21842
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + phosphate + phosphate_star	4.9021264	14451.316467	43.5497534	2000-2012 –> 2013-2019	9.0496662	40153.74243
Indo-Pacific	(27,27.25]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.7270511	14278.752486	36.3367363	2000-2012 –> 2013-2019	8.7637443	39738.23503
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.8810235	14432.608585	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	14264.895960	37.2734587	2000-2012 –> 2013-2019	8.7105706	39641.79806
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.2363766	13754.704913	36.1652945	2000-2012 –> 2013-2019	7.8842326	38300.35742
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	5.0015452	14551.690102	33.4243239	2000-2012 –> 2013-2019	9.3232187	40629.98975
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.9504914	14502.441796	40.6359010	2000-2012 –> 2013-2019	9.1367182	40292.81795
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.2368201	13753.207388	36.3372298	2000-2012 –> 2013-2019	7.8878675	38304.76694
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate	5.0133956	14561.049507	34.6548040	2000-2012 –> 2013-2019	9.3352609	40637.75038
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.7954530	13227.163039	24.3845530	2000-2012 –> 2013-2019	7.0682831	36791.89857
Indo-Pacific	(27.25,27.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3.2625915	19059.892583	26.8503718	1982-1999 –> 2000-2012	5.8967790	43352.90314
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3.1485491	18801.375325	28.6100212	1982-1999 –> 2000-2012	5.7802065	43086.61295
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	3.1851097	18883.907749	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	18883.280727	26.9112992	1982-1999 –> 2000-2012	5.7563615	42936.87911
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	3.2368879	19001.979628	27.9992250	1982-1999 –> 2000-2012	5.8848887	43348.18061
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.1764122	18865.886364	27.1610010	1982-1999 –> 2000-2012	5.7443344	42901.78859
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.2224198	18971.178708	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	18947.508956	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	18699.536423	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	18088.940792	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	10328.239675	22.8259481	2000-2012 –> 2013-2019	6.6257919	29129.61500
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	3.5009559	10352.541668	30.1148214	2000-2012 –> 2013-2019	6.6860656	29236.44942
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.4557733	10304.271151	42.7028464	2000-2012 –> 2013-2019	6.6397404	29187.55188
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.2141819	10023.799083	64.0192901	2000-2012 –> 2013-2019	6.5728546	29298.20597
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.4845906	10336.408838	37.5479376	2000-2012 –> 2013-2019	6.6610028	29202.29520
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.9454568	9685.913538	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	9721.985373	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	10027.989672	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	9868.188129	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	9726.516783	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	12941.930859	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	13094.037522	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	13106.771776	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	13145.744337	14.0415505	1982-1999 –> 2000-2012	3.4374951	29866.09369
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.8388594	13078.917249	10.8204906	1982-1999 –> 2000-2012	3.4178142	29801.66751
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.8422194	13090.677459	10.8838701	1982-1999 –> 2000-2012	3.4210074	29812.48685
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.9942252	13601.428746	22.9872509	1982-1999 –> 2000-2012	3.6355404	30669.22831
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.8412918	13087.432903	10.8646626	1982-1999 –> 2000-2012	3.4200470	29809.05733
Indo-Pacific	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.9480868	13450.635473	14.8422000	1982-1999 –> 2000-2012	3.5780360	30456.53288
Indo-Pacific	(27.5,27.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.9078248	13316.100351	16.2317498	1982-1999 –> 2000-2012	3.5414946	30342.30893
Indo-Pacific	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2.2905674	7852.110468	10.7158176	2000-2012 –> 2013-2019	4.3121166	21539.20540
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.0456497	7459.673121	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	7577.974781	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	7607.182925	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	7648.133307	15.6254646	2000-2012 –> 2013-2019	4.0190685	20793.87764
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.1091319	7566.269773	10.8248465	2000-2012 –> 2013-2019	3.9479913	20645.18702
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1135619	7573.588328	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	7571.021178	10.8741142	2000-2012 –> 2013-2019	3.9532987	20658.45408
Indo-Pacific	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.2298026	7760.330334	14.8119135	2000-2012 –> 2013-2019	4.1778894	21210.96581
Indo-Pacific	(27.5,27.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.1934216	7702.951554	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	4299.357814	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	4247.316289	7.4644161	1982-1999 –> 2000-2012	2.8577493	9655.41675
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.3964786	3958.007655	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	4268.708392	7.5995048	1982-1999 –> 2000-2012	2.8825504	9701.39667
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.6003452	4264.605314	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	4266.724922	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	4303.867537	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	4146.870359	7.3678402	1982-1999 –> 2000-2012	2.7332530	9410.44136
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate_star	1.6298874	4303.761361	8.1550706	1982-1999 –> 2000-2012	2.9321759	9792.44393
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1.6309098	4305.172291	8.1517972	1982-1999 –> 2000-2012	2.9335291	9794.68110
Indo-Pacific	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1.5999990	2463.846076	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	2427.611717	6.8243011	2000-2012 –> 2013-2019	3.1416515	6674.92801
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.4090766	2300.911290	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	2441.287583	6.9310799	2000-2012 –> 2013-2019	3.1732774	6709.99597
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5672990	2439.043386	6.9255151	2000-2012 –> 2013-2019	3.1676442	6703.64870
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate	1.5800997	2447.601561	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	2440.608734	6.9337316	2000-2012 –> 2013-2019	3.1710438	6707.33366
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.6019088	2467.394528	7.5552814	2000-2012 –> 2013-2019	3.2304250	6771.26207
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.5067948	2387.942388	7.5153393	2000-2012 –> 2013-2019	3.0255525	6534.81275
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate_star	1.6036863	2466.833983	7.5790945	2000-2012 –> 2013-2019	3.2335737	6770.59534
Indo-Pacific	(27.85,27.95]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1.2193224	5465.312499	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	5389.537192	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	5423.539912	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	5499.745813	14.7185210	1982-1999 –> 2000-2012	2.4606039	13150.54977
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.1543559	5282.686072	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	5440.473153	19.3998664	1982-1999 –> 2000-2012	2.4878015	13273.58422
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.2079627	5435.750381	19.5026523	1982-1999 –> 2000-2012	2.4871227	13272.58797
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.2081907	5436.386722	19.5549739	1982-1999 –> 2000-2012	2.4887445	13278.34067
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.2182393	5464.315871	17.6669688	1982-1999 –> 2000-2012	2.4491820	13120.64091
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.2419816	5529.400696	19.1771197	1982-1999 –> 2000-2012	2.5149550	13343.46182
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.5903326	3904.033656	11.5737389	2000-2012 –> 2013-2019	2.7818532	9293.57085
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.5004527	3783.841361	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	3748.917992	8.3035747	2000-2012 –> 2013-2019	2.7064094	9248.66381
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.2927628	3476.037809	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	3812.143617	9.8427542	2000-2012 –> 2013-2019	2.7308047	9252.61677
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5235717	3815.431618	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	3818.136807	10.0007962	2000-2012 –> 2013-2019	2.7337587	9254.52353
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate	1.5117547	3797.344992	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	3794.837796	8.3111589	2000-2012 –> 2013-2019	2.7266996	9259.15367
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.5399490	3837.521069	8.8850536	2000-2012 –> 2013-2019	2.7819306	9366.92176
Indo-Pacific	(27.95,28.05]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	0.7302519	3091.548820	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	2783.574289	4.1710038	1982-1999 –> 2000-2012	1.2051148	6283.90978
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	0.7309031	3096.034230	3.1728331	1982-1999 –> 2000-2012	1.3628678	7170.90498
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.6561435	2795.204940	4.2518623	1982-1999 –> 2000-2012	1.2110227	6319.82467
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.6583807	2804.694794	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	2949.442750	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	2806.703627	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	3210.087496	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	2663.288889	3.2635429	1982-1999 –> 2000-2012	1.1545971	5984.08741
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	0.7698668	3238.833244	6.8435992	1982-1999 –> 2000-2012	1.3679298	7078.47284
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate	0.7152760	1481.702953	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	1373.516722	4.0261374	2000-2012 –> 2013-2019	1.3128646	4157.09101
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.7534138	1554.141871	3.6410609	2000-2012 –> 2013-2019	1.4894419	4669.65672
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	0.7480916	1544.529058	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	1376.237212	4.0294416	2000-2012 –> 2013-2019	1.3169205	4171.44215
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.6621614	1379.075128	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	1378.952240	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	1379.633679	4.0326126	2000-2012 –> 2013-2019	1.3212894	4186.33731
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + phosphate + phosphate_star	0.7485543	1543.367365	3.6492555	2000-2012 –> 2013-2019	1.4827125	4649.79036
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.6450792	1343.634351	4.0369292	2000-2012 –> 2013-2019	1.2708998	4006.92324
Indo-Pacific	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	0.5271208	1695.361290	2.8677789	1982-1999 –> 2000-2012	1.0550883	3781.18057
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	0.4658342	1428.138259	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	1350.662342	2.6364793	1982-1999 –> 2000-2012	0.9388200	3239.02666
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.4493103	1352.055200	2.6371565	1982-1999 –> 2000-2012	0.9394401	3242.21403
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.4497166	1354.009263	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	1339.121590	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	1354.404911	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	1681.188184	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	1318.239246	2.6431615	1982-1999 –> 2000-2012	0.9288759	3188.85100
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	0.5255663	1688.976055	2.7539341	1982-1999 –> 2000-2012	1.0491870	3752.82160
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.4646154	674.221887	2.1624309	2000-2012 –> 2013-2019	0.9794137	2320.44208
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	0.4408406	619.064942	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	611.822249	2.1703268	2000-2012 –> 2013-2019	0.8858536	1962.48459
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate_star	0.4746088	693.758245	2.4384278	2000-2012 –> 2013-2019	0.9974123	2371.33892
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	0.4663165	675.920471	2.2216087	2000-2012 –> 2013-2019	0.9823776	2325.43750
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.4368851	611.943691	2.1721342	2000-2012 –> 2013-2019	0.8861954	1963.99889
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.4370222	612.261269	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	594.115024	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	612.324997	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	612.919252	2.0303744	2000-2012 –> 2013-2019	0.8796437	1931.15850
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.8074402	22355.668018	4.5333149	1982-1999 –> 2000-2012	1.6142108	54127.42738
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.7723765	21532.550034	5.0006758	1982-1999 –> 2000-2012	1.5417586	52052.91597
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.7715892	21513.643855	4.9706034	1982-1999 –> 2000-2012	1.5393592	51978.69059
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.7711396	21502.837411	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	20758.091639	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	21502.221688	4.9516171	1982-1999 –> 2000-2012	1.5377317	51927.65905
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.7954263	22075.739426	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	18776.964687	2.8440875	1982-1999 –> 2000-2012	1.3265778	45288.18951
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.7915622	21987.455106	5.0132653	1982-1999 –> 2000-2012	1.5915131	53535.34028
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	0.7816870	21752.701931	3.4859853	1982-1999 –> 2000-2012	1.5652780	52753.65966
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.8298052	12367.319645	3.1970286	2000-2012 –> 2013-2019	1.6372454	34722.98766
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.7854002	11816.023415	4.8287442	2000-2012 –> 2013-2019	1.5577767	33348.57345
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.7853671	11815.600640	4.8016624	2000-2012 –> 2013-2019	1.5569563	33329.24449
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.7854158	11816.223286	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	11460.210163	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	11816.286662	4.7832055	2000-2012 –> 2013-2019	1.5565348	33318.50835
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.8096966	12119.416370	5.6439933	2000-2012 –> 2013-2019	1.6051229	34195.15580
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.6982480	10637.010807	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	11953.002551	4.9114735	2000-2012 –> 2013-2019	1.5877687	33940.45766
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	0.7976887	11969.646948	3.7000919	2000-2012 –> 2013-2019	1.5793757	33722.34888
SO	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.8435941	472.305360	9.2376029	1982-1999 –> 2000-2012	5.3446047	1018.82978
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.8988723	258.092302	2.6060622	1982-1999 –> 2000-2012	1.9721331	611.73023
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.8424918	472.233245	9.3078108	1982-1999 –> 2000-2012	5.3158898	1016.22642
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.8449113	472.391497	9.3373055	1982-1999 –> 2000-2012	5.3124869	1015.84732
SO	(26,26.5]	cstar_tref ~ sal + temp + nitrate + phosphate_star	2.9258981	475.612443	9.9204795	1982-1999 –> 2000-2012	5.3163106	1009.82466
SO	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.5213874	449.937096	8.5032897	1982-1999 –> 2000-2012	4.7308847	968.20551
SO	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.8453488	472.420103	9.3383371	1982-1999 –> 2000-2012	5.3122515	1015.81374
SO	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	2.8722926	472.173126	9.4361110	1982-1999 –> 2000-2012	5.3596305	1015.44768
SO	(26,26.5]	cstar_tref ~ temp + aou + nitrate + phosphate_star	1.1212442	297.208213	3.8656132	1982-1999 –> 2000-2012	2.4807280	702.74616
SO	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.0737261	291.153662	3.2656959	1982-1999 –> 2000-2012	2.3298830	680.66864
SO	(26,26.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2.2164156	224.623665	8.5955231	2000-2012 –> 2013-2019	5.1344323	699.73441
SO	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.1723620	224.696344	8.0785402	2000-2012 –> 2013-2019	5.0159561	697.00170
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.9963668	149.868680	1.8653894	2000-2012 –> 2013-2019	1.8952391	407.96098
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.9098599	212.332966	7.3147661	2000-2012 –> 2013-2019	4.8230490	689.13574
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.2965435	230.032996	8.4773829	2000-2012 –> 2013-2019	5.1390353	702.26624
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.3408558	231.867693	8.6475792	2000-2012 –> 2013-2019	5.1857671	704.25919
SO	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.5688308	240.789380	9.9741472	2000-2012 –> 2013-2019	5.0902181	690.72648
SO	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.3270517	231.299903	8.5744760	2000-2012 –> 2013-2019	5.1724006	703.72001
SO	(26,26.5]	cstar_tref ~ temp + aou + nitrate + phosphate_star	1.2617314	170.536649	3.2940215	2000-2012 –> 2013-2019	2.3829756	467.74486
SO	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.2542346	171.964549	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	1147.668453	5.2576592	1982-1999 –> 2000-2012	3.7493545	2782.84109
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.6860120	1453.383677	8.7412484	1982-1999 –> 2000-2012	5.7363290	3352.81661
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + phosphate_star	2.8392668	1484.565670	9.1635419	1982-1999 –> 2000-2012	6.0050208	3409.63502
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.8221751	1482.954970	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	1444.345824	7.7024197	1982-1999 –> 2000-2012	5.4590547	3283.60712
SO	(26.5,26.75]	cstar_tref ~ sal + temp + phosphate + phosphate_star	2.8447505	1485.719508	9.1447780	1982-1999 –> 2000-2012	6.0107148	3410.83831
SO	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.8239950	1483.340463	8.5693521	1982-1999 –> 2000-2012	5.9729585	3406.45332
SO	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate_star	2.8263484	1481.838611	8.3224184	1982-1999 –> 2000-2012	5.9878409	3405.90577
SO	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate_star	1.8826809	1238.877897	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	1240.132410	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	641.488677	4.9622324	2000-2012 –> 2013-2019	3.4426089	1789.15713
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.6479883	755.749011	8.8235459	2000-2012 –> 2013-2019	5.3340003	2209.13269
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + phosphate_star	2.7952413	770.525660	8.7655836	2000-2012 –> 2013-2019	5.6345081	2255.09133
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.7943373	772.425383	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	777.381044	8.9548027	2000-2012 –> 2013-2019	5.4850888	2221.72687
SO	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.8020699	773.282050	8.8520969	2000-2012 –> 2013-2019	5.6260649	2256.62251
SO	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate_star	2.0718738	677.691501	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	675.772149	5.7856551	2000-2012 –> 2013-2019	3.9261791	1915.90456
SO	(26.5,26.75]	cstar_tref ~ temp + aou + phosphate + phosphate_star	2.7463388	765.054232	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	766.985597	9.4434005	2000-2012 –> 2013-2019	5.6127923	2259.37686
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.5817742	5274.396994	18.1887041	1982-1999 –> 2000-2012	5.2276333	12244.14208
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.3128105	5029.947199	14.6423326	1982-1999 –> 2000-2012	4.7776797	11793.63993
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.6540151	5335.716978	9.9669921	1982-1999 –> 2000-2012	5.5316908	12549.69664
SO	(26.75,27]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.6119586	5300.224454	10.1228377	1982-1999 –> 2000-2012	5.4901533	12514.72846
SO	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.6551854	5336.696571	10.0278785	1982-1999 –> 2000-2012	5.5381031	12555.96864
SO	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate_star	2.6552763	5334.772692	10.0439300	1982-1999 –> 2000-2012	5.5509086	12564.84168
SO	(26.75,27]	cstar_tref ~ temp + aou + nitrate + phosphate_star	2.7629898	5423.129704	19.6866784	1982-1999 –> 2000-2012	5.5468894	12538.76654
SO	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.7425077	5408.596626	18.9403249	1982-1999 –> 2000-2012	5.5263948	12526.22035
SO	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	2.3448315	5058.499901	15.2189301	1982-1999 –> 2000-2012	4.8271697	11840.72954
SO	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.2423406	4961.191383	13.0686049	1982-1999 –> 2000-2012	4.7067997	11724.40025
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.7241338	2890.253778	21.9071777	2000-2012 –> 2013-2019	5.3059080	8164.65077
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.4478434	2763.205355	18.2275430	2000-2012 –> 2013-2019	4.7606539	7793.15255
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.6127276	2840.647932	8.2835657	2000-2012 –> 2013-2019	5.3501379	8245.11073
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.5235227	2799.378098	8.0537270	2000-2012 –> 2013-2019	5.1775378	8135.09508
SO	(26.75,27]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.4737276	2775.701661	7.0060055	2000-2012 –> 2013-2019	5.0856862	8075.92611
SO	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.5225805	2798.934439	7.9686087	2000-2012 –> 2013-2019	5.1777658	8135.63101
SO	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate_star	2.5235671	2797.398998	8.0749457	2000-2012 –> 2013-2019	5.1788434	8132.17169
SO	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.8104816	2927.325739	19.6019013	2000-2012 –> 2013-2019	5.5529893	8335.92237
SO	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	2.4974522	2785.041013	18.3255798	2000-2012 –> 2013-2019	4.8422836	7843.54091
SO	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.3152750	2697.058783	13.6688917	2000-2012 –> 2013-2019	4.5576156	7658.25017
SO	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.0692162	10358.242660	7.5591178	1982-1999 –> 2000-2012	4.1042125	24541.48658
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.9458910	10062.053881	8.2373927	1982-1999 –> 2000-2012	3.7123495	23303.64196
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.8860155	9911.411733	6.7641916	1982-1999 –> 2000-2012	3.7713471	23586.35482
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.8350611	9779.398566	6.8073064	1982-1999 –> 2000-2012	3.6701764	23274.70777
SO	(27,27.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.8399757	9792.290141	6.6680866	1982-1999 –> 2000-2012	3.6824822	23314.34534
SO	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.8384006	9788.162322	6.7371147	1982-1999 –> 2000-2012	3.6758003	23291.74919
SO	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.8545745	9828.382327	6.0086081	1982-1999 –> 2000-2012	3.7006350	23361.26007
SO	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.0596984	10336.020921	11.3693757	1982-1999 –> 2000-2012	4.0304425	24305.78578
SO	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	1.9463114	10061.095205	8.3941179	1982-1999 –> 2000-2012	3.7451662	23421.60974
SO	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.8266961	9757.376800	9.0621948	1982-1999 –> 2000-2012	3.6067463	23049.96656
SO	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.9787776	5494.497693	9.8184801	2000-2012 –> 2013-2019	4.0479939	15852.74035
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.9692899	5481.962946	14.8390858	2000-2012 –> 2013-2019	3.9151809	15544.01683
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.7995221	5246.846871	8.6943237	2000-2012 –> 2013-2019	3.6855376	15158.25861
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.7504028	5174.669951	8.4261716	2000-2012 –> 2013-2019	3.5854639	14954.06852
SO	(27,27.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.7510991	5175.707079	8.3679634	2000-2012 –> 2013-2019	3.5910748	14967.99722
SO	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.7545444	5180.833409	8.4019904	2000-2012 –> 2013-2019	3.5929451	14968.99573
SO	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.7877333	5227.705327	7.3567506	2000-2012 –> 2013-2019	3.6423078	15056.08765
SO	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.9696033	5482.378000	12.1369468	2000-2012 –> 2013-2019	4.0293018	15818.39892
SO	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	1.9819856	5496.722346	15.2425871	2000-2012 –> 2013-2019	3.9282970	15557.81755
SO	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.7467434	5169.211907	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	10068.886072	7.6146459	1982-1999 –> 2000-2012	2.8227098	22502.92805
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.5717820	10110.717418	8.0312332	1982-1999 –> 2000-2012	2.8350934	22546.22237
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + phosphate_star	1.5731181	10113.302498	7.9703774	1982-1999 –> 2000-2012	2.8384289	22558.69286
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5686304	10099.886989	7.7039666	1982-1999 –> 2000-2012	2.8335663	22545.05013
SO	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + phosphate_star	1.5598078	10067.452139	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	10023.922044	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	10105.913138	7.6683662	1982-1999 –> 2000-2012	2.8365771	22558.54779
SO	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + phosphate_star	1.5747734	10118.977336	8.1875370	1982-1999 –> 2000-2012	2.8409157	22569.30555
SO	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.5730953	10115.224179	8.2059371	1982-1999 –> 2000-2012	2.8390614	22566.50612
SO	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.5757689	10124.387515	7.9563722	1982-1999 –> 2000-2012	2.8396317	22563.17154
SO	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.7467212	5643.581616	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	5701.861039	9.3949520	2000-2012 –> 2013-2019	3.3424772	15770.74711
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.7122709	5586.849696	7.5144436	2000-2012 –> 2013-2019	3.2780130	15676.79211
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.7410723	5634.356260	9.5122412	2000-2012 –> 2013-2019	3.3179178	15762.42922
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.7419613	5635.810156	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	5587.941129	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	5634.491874	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	5676.848459	9.8648416	2000-2012 –> 2013-2019	3.3403391	15792.07264
SO	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.7698232	5681.002253	9.6352969	2000-2012 –> 2013-2019	3.3455922	15805.38977
SO	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate_star	1.7698242	5679.003817	9.6345206	2000-2012 –> 2013-2019	3.3480187	15809.69091
SO	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1.3883347	10843.669606	8.4553819	1982-1999 –> 2000-2012	2.5692864	24083.07211
SO	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate	1.3848221	10827.963359	8.2482321	1982-1999 –> 2000-2012	2.5854123	24204.98042
SO	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.3796919	10806.952252	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	10889.869816	8.4949881	1982-1999 –> 2000-2012	2.5822415	24152.59858
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.3833782	10823.495269	8.3250832	1982-1999 –> 2000-2012	2.5577963	24018.60715
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3979734	10888.565420	8.4679060	1982-1999 –> 2000-2012	2.5813589	24147.14643
SO	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.3961487	10880.467549	8.3644226	1982-1999 –> 2000-2012	2.5785826	24132.33627
SO	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.4007424	10900.833894	8.4562293	1982-1999 –> 2000-2012	2.5845506	24162.39428
SO	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate	1.4007226	10898.746139	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	10809.239157	8.2320874	1982-1999 –> 2000-2012	2.5552680	24008.96012
SO	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1.5773198	6145.905836	10.3312473	2000-2012 –> 2013-2019	2.9656545	16989.57544
SO	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate	1.5527208	6094.475478	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	6093.543972	10.1401165	2000-2012 –> 2013-2019	2.9310222	16900.49622
SO	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.5692007	6131.020180	10.5282918	2000-2012 –> 2013-2019	2.9674683	17020.89000
SO	(27.5,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1.5639224	6117.995441	10.2155694	2000-2012 –> 2013-2019	2.9666733	17025.71313
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.5527183	6096.470131	10.1464843	2000-2012 –> 2013-2019	2.9360964	16919.96540
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.5685820	6129.729797	10.5127240	2000-2012 –> 2013-2019	2.9665554	17018.29522
SO	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.5621465	6116.277871	10.2936671	2000-2012 –> 2013-2019	2.9582952	16996.74542
SO	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.5696823	6132.024027	10.5055093	2000-2012 –> 2013-2019	2.9704247	17032.85792
SO	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.5561753	6103.746958	9.7094266	2000-2012 –> 2013-2019	2.9363762	16912.98611
SO	(27.75,27.85]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1.2980739	4151.076662	7.4720113	1982-1999 –> 2000-2012	2.5738546	9792.29094
SO	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1.3221869	4196.427896	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	4152.320874	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	4195.153848	7.7289701	1982-1999 –> 2000-2012	2.6161669	9890.92014
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.3123584	4180.043332	7.5739257	1982-1999 –> 2000-2012	2.5963220	9844.90634
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3209355	4196.094724	7.7197454	1982-1999 –> 2000-2012	2.6239228	9910.75795
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.3212646	4196.708563	7.7195791	1982-1999 –> 2000-2012	2.6294450	9924.83981
SO	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate	1.3169226	4186.597957	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	4120.904681	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	4194.285720	7.7933797	1982-1999 –> 2000-2012	2.6057513	9863.94923
SO	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate	1.2919962	2313.624534	9.1229522	2000-2012 –> 2013-2019	2.6179376	6517.03938
SO	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.2919951	2315.623319	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	2319.090147	9.1986191	2000-2012 –> 2013-2019	2.6156903	6514.24400
SO	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate_star	1.2957616	2317.623106	9.2114295	2000-2012 –> 2013-2019	2.6239513	6525.21240
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.2918825	2315.503617	9.1235757	2000-2012 –> 2013-2019	2.6042409	6495.54695
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.2959096	2319.779943	9.2071598	2000-2012 –> 2013-2019	2.6168450	6515.87467
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.2943689	2318.145442	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	2316.461646	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	2319.137539	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	2341.487539	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	4876.052030	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	4905.400743	7.5123044	1982-1999 –> 2000-2012	3.1201037	11970.37847
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.5872228	4934.498043	7.6455595	1982-1999 –> 2000-2012	3.1508161	12031.54996
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate	1.5931939	4942.321062	7.5639033	1982-1999 –> 2000-2012	3.1603237	12045.94858
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.5780589	4919.350782	7.7302752	1982-1999 –> 2000-2012	3.1436234	12021.18508
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5745449	4913.519037	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	4932.870595	7.7450668	1982-1999 –> 2000-2012	3.1590746	12052.30219
SO	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate	1.5790099	4918.926847	7.6468512	1982-1999 –> 2000-2012	3.1830208	12110.85518
SO	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.5774983	4918.421212	7.7425597	1982-1999 –> 2000-2012	3.1469104	12029.57322
SO	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.5751916	4914.593286	7.8646151	1982-1999 –> 2000-2012	3.1733112	12094.55381
SO	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.4702599	2619.521470	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	2620.083157	11.1429024	2000-2012 –> 2013-2019	3.0404981	7525.48390
SO	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate_star	1.4709305	2618.179904	11.1701263	2000-2012 –> 2013-2019	3.0568654	7548.55449
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.4760391	2625.186275	11.3340246	2000-2012 –> 2013-2019	3.0632618	7559.68432
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.4730867	2622.295068	11.1904915	2000-2012 –> 2013-2019	3.0511456	7541.64585
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.4709223	2620.171832	11.1772220	2000-2012 –> 2013-2019	3.0454672	7533.69087
SO	(27.85,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.4730568	2622.265764	11.2751706	2000-2012 –> 2013-2019	3.0592924	7555.13636
SO	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.4718949	2621.126329	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	2615.116016	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	2598.831441	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	6589.580240	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	6588.452506	10.4295953	1982-1999 –> 2000-2012	3.1337905	14887.20117
SO	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate_star	1.6370173	6691.879604	11.1209597	1982-1999 –> 2000-2012	3.2322528	15130.34836
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.6074666	6630.231101	10.5314316	1982-1999 –> 2000-2012	3.1719393	14983.69668
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.6215899	6660.795686	9.7831608	1982-1999 –> 2000-2012	3.1521079	14916.22174
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.6004648	6614.978761	10.3999175	1982-1999 –> 2000-2012	3.1619905	14960.02010
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5955561	6604.246131	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	6612.655839	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	6608.360982	10.3817663	1982-1999 –> 2000-2012	3.1557502	14944.20287
SO	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.6130282	6640.298985	9.9590739	1982-1999 –> 2000-2012	3.2001786	15056.06533
SO	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.6194087	3272.313321	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	3280.376214	12.0305243	2000-2012 –> 2013-2019	3.2154047	9868.82872
SO	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate_star	1.6531041	3305.610975	12.1518235	2000-2012 –> 2013-2019	3.2901215	9997.49058
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.6473792	3301.664889	12.3655089	2000-2012 –> 2013-2019	3.2548458	9931.89599
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.6193587	3272.260458	11.1753569	2000-2012 –> 2013-2019	3.2409487	9933.05614
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.6385600	3292.464320	12.0949975	2000-2012 –> 2013-2019	3.2390247	9907.44308
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.6331213	3286.765815	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	3289.109921	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	3287.828275	12.0894679	2000-2012 –> 2013-2019	3.2315703	9896.18926
SO	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.6370386	3288.872153	12.1407018	2000-2012 –> 2013-2019	3.2500667	9929.17114
SO	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.3438859	3393.001660	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	3390.847404	8.8474142	1982-1999 –> 2000-2012	2.5421243	7660.15364
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.3538090	3409.509112	8.8330092	1982-1999 –> 2000-2012	2.5728268	7718.21876
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.2653421	3276.242308	8.5951579	1982-1999 –> 2000-2012	2.3760479	7337.81143
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate	1.3538936	3407.632401	8.8497870	1982-1999 –> 2000-2012	2.5770104	7723.25779
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3536424	3409.266454	8.8341457	1982-1999 –> 2000-2012	2.5704220	7713.09485
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.3538499	3409.568801	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	3409.498667	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	3407.662649	8.8259138	1982-1999 –> 2000-2012	2.5682610	7709.17509
SO	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.3625400	3420.186215	9.0816684	1982-1999 –> 2000-2012	2.5813785	7726.50496
SO	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.3410129	1727.788496	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	1729.686280	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	1736.526437	7.5809660	2000-2012 –> 2013-2019	2.7067428	5150.21594
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.3519692	1737.941738	7.5835208	2000-2012 –> 2013-2019	2.7057782	5147.45085
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.2121865	1628.586994	5.0684020	2000-2012 –> 2013-2019	2.4775286	4904.82930
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3538920	1739.365755	7.6042080	2000-2012 –> 2013-2019	2.7075343	5148.63221
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.3552005	1740.333752	7.6353609	2000-2012 –> 2013-2019	2.7090505	5149.90255
SO	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.3494424	1736.067270	7.5660875	2000-2012 –> 2013-2019	2.7032442	5145.56594
SO	(28.05,28.1]	cstar_tref ~ sal + temp + phosphate + phosphate_star	1.3524849	1736.323890	7.5851833	2000-2012 –> 2013-2019	2.7080096	5146.33061
SO	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.3524137	1738.271113	7.5850512	2000-2012 –> 2013-2019	2.7049556	5145.93376
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.4053051	20089.910329	11.9375596	1982-1999 –> 2000-2012	2.5548845	44647.68070
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.3980521	20030.858520	16.2130353	1982-1999 –> 2000-2012	2.5386331	44464.86029
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.3943725	20000.782765	11.3375927	1982-1999 –> 2000-2012	2.5414698	44524.51141
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate	1.4175578	20186.978883	14.1837958	1982-1999 –> 2000-2012	2.5670731	44741.87158
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.4053605	20090.360157	11.9392595	1982-1999 –> 2000-2012	2.5548278	44646.59466
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.4053450	20090.234088	11.9374306	1982-1999 –> 2000-2012	2.5548142	44646.49508
SO	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate	1.4093571	20120.767906	9.1918239	1982-1999 –> 2000-2012	2.6109495	45373.49977
SO	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.3874461	19943.953592	11.9980032	1982-1999 –> 2000-2012	2.5210907	44281.88006
SO	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.4053801	20090.518947	11.9386896	1982-1999 –> 2000-2012	2.5547899	44645.96619
SO	(28.1, Inf]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.4249935	20248.683184	13.3664686	1982-1999 –> 2000-2012	2.6013646	45169.30598
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.6650121	11521.047227	11.9966161	2000-2012 –> 2013-2019	3.0703172	31610.95756
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.6527850	11477.073934	13.1658103	2000-2012 –> 2013-2019	3.0508371	31507.93245
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.6501425	11467.528024	11.4493175	2000-2012 –> 2013-2019	3.0445150	31468.31079
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate	1.6921931	11615.654795	15.1557524	2000-2012 –> 2013-2019	3.1097509	31802.63368
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.6652217	11521.798248	12.0030996	2000-2012 –> 2013-2019	3.0705822	31612.15840
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.6651465	11521.528917	11.9975638	2000-2012 –> 2013-2019	3.0704915	31611.76301
SO	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate	1.6511711	11469.245747	10.9842040	2000-2012 –> 2013-2019	3.0605283	31590.01365
SO	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.6479913	11459.745274	11.8014839	2000-2012 –> 2013-2019	3.0354374	31403.69887
SO	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.6652513	11521.904389	12.0018251	2000-2012 –> 2013-2019	3.0706314	31612.42334
SO	(28.1, Inf]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.6762928	11561.331625	12.8696076	2000-2012 –> 2013-2019	3.1012863	31810.01481
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.6192583	756.367468	3.9003989	1982-1999 –> 2000-2012	1.2560218	1703.11610
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.6306582	770.778398	3.9032738	1982-1999 –> 2000-2012	1.2805809	1737.24570
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	0.5577484	673.722002	3.0423706	1982-1999 –> 2000-2012	1.1114802	1485.78274
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate	0.6312183	769.479640	3.9473633	1982-1999 –> 2000-2012	1.2821567	1735.45242
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.6311745	771.424846	3.9353435	1982-1999 –> 2000-2012	1.2775375	1732.59774
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.6310747	771.299946	3.9251369	1982-1999 –> 2000-2012	1.2780864	1733.43984
SO	(28.1,28.15]	cstar_tref ~ sal + temp + nitrate + silicate	0.6373764	777.149458	4.1024341	1982-1999 –> 2000-2012	1.2926919	1749.58267
SO	(28.1,28.15]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.6313006	771.582676	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	771.103140	3.9302967	1982-1999 –> 2000-2012	1.2776691	1732.85534
SO	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.6313729	769.673098	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	328.425500	1.7503262	2000-2012 –> 2013-2019	1.1289983	1084.79297
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.5183658	335.506783	1.7276351	2000-2012 –> 2013-2019	1.1490240	1106.28518
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	0.5440130	355.885993	1.6262933	2000-2012 –> 2013-2019	1.1017613	1029.60799
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate	0.5188613	333.910002	1.7668314	2000-2012 –> 2013-2019	1.1500796	1103.38964
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.5188318	335.886015	1.7753940	2000-2012 –> 2013-2019	1.1500063	1107.31086
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.5188594	335.908429	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	337.294174	1.7497149	2000-2012 –> 2013-2019	1.1518666	1108.87685
SO	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate	0.5298796	342.777578	1.9317269	2000-2012 –> 2013-2019	1.1665809	1119.08976
SO	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.5185127	335.626341	1.7721955	2000-2012 –> 2013-2019	1.1494302	1106.72948
SO	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.5226388	336.971150	1.7093739	2000-2012 –> 2013-2019	1.1540117	1106.64425
SO	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.3553865	379.938478	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	436.011355	1.7616736	1982-1999 –> 2000-2012	0.7920706	1099.88046
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.3618898	397.201808	2.0579502	1982-1999 –> 2000-2012	0.7925566	1105.32943
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate	0.3637298	400.029973	2.2479803	1982-1999 –> 2000-2012	0.8224717	1182.19389
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.3605892	393.774334	1.9967095	1982-1999 –> 2000-2012	0.7849647	1084.18392
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.3608331	394.417936	2.0074159	1982-1999 –> 2000-2012	0.7859217	1086.84900
SO	(28.15,28.2]	cstar_tref ~ sal + temp + nitrate + silicate	0.3619596	395.385580	2.1110149	1982-1999 –> 2000-2012	0.8733279	1308.30660
SO	(28.15,28.2]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.3617889	396.936545	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	393.840117	2.0025710	1982-1999 –> 2000-2012	0.7854607	1085.58551
SO	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.3650608	403.507334	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	204.277581	1.4555943	2000-2012 –> 2013-2019	0.7127415	584.21606
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.3606906	208.811499	1.4675434	2000-2012 –> 2013-2019	0.7225804	606.01331
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate	0.3609925	207.219748	1.4736454	2000-2012 –> 2013-2019	0.7247223	607.24972
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.3609925	209.219747	1.4736507	2000-2012 –> 2013-2019	0.7215817	602.99408
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.3609898	209.216047	1.4732233	2000-2012 –> 2013-2019	0.7218228	603.63398
SO	(28.15,28.2]	cstar_tref ~ sal + temp + nitrate + silicate	0.3744800	225.120208	1.4632736	2000-2012 –> 2013-2019	0.7364397	620.50579
SO	(28.15,28.2]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.3622568	210.925844	1.4717722	2000-2012 –> 2013-2019	0.7240457	607.86239
SO	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate	0.3737541	224.173296	1.4543382	2000-2012 –> 2013-2019	0.7345477	616.48700
SO	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.3608360	209.008184	1.4729942	2000-2012 –> 2013-2019	0.7214502	602.84830
SO	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate_star	0.3649259	212.508312	1.4454487	2000-2012 –> 2013-2019	0.7299868	616.01565
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	0.7468065	4396.242774	12.0893822	1982-1999 –> 2000-2012	1.3569627	9206.46456
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.7462676	4395.432970	12.0110983	1982-1999 –> 2000-2012	1.3537175	9184.58387
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	0.7394850	4359.898246	11.9462358	1982-1999 –> 2000-2012	1.3405188	9093.93866
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.7326692	4325.859566	12.2325861	1982-1999 –> 2000-2012	1.3311150	9039.50439
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate	0.7393611	4359.245805	12.5833679	1982-1999 –> 2000-2012	1.3473202	9152.74568
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.7370927	4349.286824	12.4914986	1982-1999 –> 2000-2012	1.3396670	9098.61276
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.7356597	4341.713112	12.3554892	1982-1999 –> 2000-2012	1.3359295	9071.15172
SO	(28.2, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.7509305	4421.675696	13.0965364	1982-1999 –> 2000-2012	1.3692067	9304.51081
SO	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.7405969	4367.745732	8.3795106	1982-1999 –> 2000-2012	1.3246881	8955.38390
SO	(28.2, Inf]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.7224005	4270.925349	13.4191265	1982-1999 –> 2000-2012	1.3636639	9343.22126
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	1.1094296	3067.751357	10.5584571	2000-2012 –> 2013-2019	1.8562361	7463.99413
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1.1090674	3069.095629	10.5033321	2000-2012 –> 2013-2019	1.8553349	7464.52860
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	1.1062601	3064.006631	10.4290694	2000-2012 –> 2013-2019	1.8457452	7423.90488
SO	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.1040359	3061.965354	10.5121628	2000-2012 –> 2013-2019	1.8367052	7387.82492
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate	1.1078938	3066.969707	10.3927631	2000-2012 –> 2013-2019	1.8472548	7426.21551
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.1078161	3068.828888	10.3766864	2000-2012 –> 2013-2019	1.8449088	7418.11571
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.1026240	3059.395685	10.1143391	2000-2012 –> 2013-2019	1.8382837	7401.10880
SO	(28.2, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.1329456	3113.869127	10.2206532	2000-2012 –> 2013-2019	1.8838761	7535.54482
SO	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.8786272	2603.404314	6.7807580	2000-2012 –> 2013-2019	1.6192241	6971.15005
SO	(28.2, Inf]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.1440376	3133.432521	10.1969891	2000-2012 –> 2013-2019	1.8664380	7404.35787

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	2.7338833	1161.4460
Atlantic	(-Inf,26]	2000-2012 –> 2013-2019	2.7045343	702.6671
Atlantic	(26,26.5]	1982-1999 –> 2000-2012	7.6477042	12754.5544
Atlantic	(26,26.5]	2000-2012 –> 2013-2019	7.9753279	8302.4451
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2012	7.0824324	15925.6350
Atlantic	(26.5,26.75]	2000-2012 –> 2013-2019	7.2713806	10344.1082
Atlantic	(26.75,27]	1982-1999 –> 2000-2012	4.0522718	20906.3705
Atlantic	(26.75,27]	2000-2012 –> 2013-2019	4.5982804	14822.0268
Atlantic	(27,27.25]	1982-1999 –> 2000-2012	3.7192810	17525.0570
Atlantic	(27,27.25]	2000-2012 –> 2013-2019	4.4849668	12506.5328
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2012	4.4264526	18443.7058
Atlantic	(27.25,27.5]	2000-2012 –> 2013-2019	5.3601683	12981.0875
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2012	3.7486485	19485.5278
Atlantic	(27.5,27.75]	2000-2012 –> 2013-2019	4.3661960	13576.1254
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2012	4.1435682	7955.0107
Atlantic	(27.75,27.85]	2000-2012 –> 2013-2019	4.1570641	4967.4210
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2012	6.9094820	8458.9615
Atlantic	(27.85,27.95]	2000-2012 –> 2013-2019	6.2164774	5287.9199
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2012	7.0794124	9445.5893
Atlantic	(27.95,28.05]	2000-2012 –> 2013-2019	6.5358981	5759.0678
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2012	0.2741288	-1109.0910
Atlantic	(28.05,28.1]	2000-2012 –> 2013-2019	0.2775778	-689.9670
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2012	0.3522998	-842.0607
Atlantic	(28.1,28.15]	2000-2012 –> 2013-2019	0.3080045	-721.6317
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2012	0.4310339	-642.8505
Atlantic	(28.15,28.2]	2000-2012 –> 2013-2019	0.4242151	-566.4131
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2012	0.4477120	-316.1484
Atlantic	(28.2, Inf]	2000-2012 –> 2013-2019	0.3531141	-964.7196
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2012	12.3027116	74742.8303
Indo-Pacific	(-Inf,26]	2000-2012 –> 2013-2019	12.0509470	48240.4654
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2012	8.5787713	72717.6208
Indo-Pacific	(26,26.5]	2000-2012 –> 2013-2019	8.7197452	46456.0139
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2012	7.4402324	55879.0941
Indo-Pacific	(26.5,26.75]	2000-2012 –> 2013-2019	7.6097434	36194.5200
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2012	7.5571750	62119.4215
Indo-Pacific	(26.75,27]	2000-2012 –> 2013-2019	8.5097637	42086.4119
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2012	7.3512328	57219.1612
Indo-Pacific	(27,27.25]	2000-2012 –> 2013-2019	8.6145465	39453.4905
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2012	5.7364853	42889.1273
Indo-Pacific	(27.25,27.5]	2000-2012 –> 2013-2019	6.4283461	28937.6824
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2012	3.4656518	29993.8248
Indo-Pacific	(27.5,27.75]	2000-2012 –> 2013-2019	4.0255256	20831.8579
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2012	2.8470434	9627.7316
Indo-Pacific	(27.75,27.85]	2000-2012 –> 2013-2019	3.1384396	6664.4662
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2012	2.4496572	13124.7209
Indo-Pacific	(27.85,27.95]	2000-2012 –> 2013-2019	2.7125368	9229.1261
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2012	1.2672498	6601.4028
Indo-Pacific	(27.95,28.05]	2000-2012 –> 2013-2019	1.3806565	4361.1928
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2012	0.9768225	3417.9955
Indo-Pacific	(28.05,28.1]	2000-2012 –> 2013-2019	0.9167045	2078.8301
Indo-Pacific	(28.1, Inf]	1982-1999 –> 2000-2012	1.5313144	51688.3980
Indo-Pacific	(28.1, Inf]	2000-2012 –> 2013-2019	1.5500074	33152.8614
SO	(26,26.5]	1982-1999 –> 2000-2012	4.3474803	905.5340
SO	(26,26.5]	2000-2012 –> 2013-2019	4.2167034	622.5668
SO	(26.5,26.75]	1982-1999 –> 2000-2012	5.3680559	3244.5267
SO	(26.5,26.75]	2000-2012 –> 2013-2019	5.0246718	2133.4617
SO	(26.75,27]	1982-1999 –> 2000-2012	5.2723423	12285.3134
SO	(26.75,27]	2000-2012 –> 2013-2019	5.0989422	8051.9451
SO	(27,27.25]	1982-1999 –> 2000-2012	3.7699358	23545.0908
SO	(27,27.25]	2000-2012 –> 2013-2019	3.7591542	15280.4970
SO	(27.25,27.5]	1982-1999 –> 2000-2012	2.8317646	22536.2043
SO	(27.25,27.5]	2000-2012 –> 2013-2019	3.3196822	15754.1839
SO	(27.5,27.75]	1982-1999 –> 2000-2012	2.5730946	24105.5030
SO	(27.5,27.75]	2000-2012 –> 2013-2019	2.9536109	16973.9964
SO	(27.75,27.85]	1982-1999 –> 2000-2012	2.5987999	9850.8371
SO	(27.75,27.85]	2000-2012 –> 2013-2019	2.6112990	6504.3285
SO	(27.85,27.95]	1982-1999 –> 2000-2012	3.1475348	12030.1570
SO	(27.85,27.95]	2000-2012 –> 2013-2019	3.0468363	7536.6448
SO	(27.95,28.05]	1982-1999 –> 2000-2012	3.1659901	14967.2008
SO	(27.95,28.05]	2000-2012 –> 2013-2019	3.2393699	9911.8746
SO	(28.05,28.1]	1982-1999 –> 2000-2012	2.5496979	7672.5039
SO	(28.05,28.1]	2000-2012 –> 2013-2019	2.6789677	5118.0185
SO	(28.1, Inf]	1982-1999 –> 2000-2012	2.5599897	44714.2666
SO	(28.1, Inf]	2000-2012 –> 2013-2019	3.0684377	31602.9907
SO	(28.1,28.15]	1982-1999 –> 2000-2012	1.2615159	1707.6940
SO	(28.1,28.15]	2000-2012 –> 2013-2019	1.1451693	1097.9935
SO	(28.15,28.2]	1982-1999 –> 2000-2012	0.7998071	1121.8506
SO	(28.15,28.2]	2000-2012 –> 2013-2019	0.7249919	606.7826
SO	(28.2, Inf]	1982-1999 –> 2000-2012	1.3462789	9145.0118
SO	(28.2, Inf]	2000-2012 –> 2013-2019	1.8294007	7389.6745

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 - 5).

6.1.1 All models

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

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]	8	1	7	8	10	4	8
(26,26.5]	7	4	4	7	9	8	9
(26.5,26.75]	8	1	7	8	4	10	8
(26.75,27]	9	1	7	7	5	10	7
(27,27.25]	9	3	5	8	8	9	6
(27.25,27.5]	10	6	4	6	7	5	8
(27.5,27.75]	4	3	3	10	10	4	10
(27.75,27.85]	8	2	7	8	9	6	8
(27.85,27.95]	6	3	5	9	5	10	9
(27.95,28.05]	5	7	2	10	6	5	10
(28.05,28.1]	7	2	6	8	7	9	8
(28.1,28.15]	8	5	5	8	4	8	8
(28.15,28.2]	10	10	0	6	7	5	5
(28.2, Inf]	10	10	0	5	7	5	6
total	109.00	58.00	62.00	108.00	98.00	98.00	110.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26]	8	2	6	8	10	5	8
(26,26.5]	7	4	4	7	9	8	9
(26.5,26.75]	9	1	7	7	5	10	7
(26.75,27]	9	2	6	8	7	10	5
(27,27.25]	7	3	5	7	10	10	5
(27.25,27.5]	10	10	0	5	7	5	6
(27.5,27.75]	5	3	4	10	10	5	9
(27.75,27.85]	7	1	7	8	9	8	7
(27.85,27.95]	7	3	6	8	5	10	8
(27.95,28.05]	5	7	2	10	6	5	10
(28.05,28.1]	7	2	6	8	7	9	8
(28.1,28.15]	9	5	4	8	6	8	8
(28.15,28.2]	9	10	0	6	8	5	6
(28.2, Inf]	10	10	0	5	7	5	6
total	109.00	63.00	57.00	105.00	106.00	103.00	102.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26]	7	3	6	8	10	5	8
(26,26.5]	8	2	6	8	5	9	9
(26.5,26.75]	8	4	5	9	8	6	8
(26.75,27]	10	1	9	8	6	4	6
(27,27.25]	10	1	9	8	4	6	6
(27.25,27.5]	8	2	7	8	7	10	5
(27.5,27.75]	7	3	5	9	8	10	6
(27.75,27.85]	8	1	7	9	5	9	8
(27.85,27.95]	9	4	5	8	7	9	7
(27.95,28.05]	7	3	6	9	6	9	8
(28.05,28.1]	7	3	6	8	6	10	7
(28.1, Inf]	6	4	4	9	7	10	8
total	95.00	31.00	75.00	101.00	79.00	97.00	86.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26]	6	3	5	9	10	6	8
(26,26.5]	7	2	6	8	6	10	8
(26.5,26.75]	6	7	3	10	4	6	8
(26.75,27]	10	1	9	8	6	4	6
(27,27.25]	10	1	9	8	4	6	6
(27.25,27.5]	8	4	6	8	6	8	7
(27.5,27.75]	8	3	5	9	7	10	5
(27.75,27.85]	8	1	7	8	6	9	8
(27.85,27.95]	9	4	5	7	7	9	8
(27.95,28.05]	8	2	7	8	8	7	8
(28.05,28.1]	7	3	5	8	9	10	5
(28.1, Inf]	6	4	4	9	7	10	8
total	93.00	35.00	71.00	100.00	80.00	95.00	85.00
SO - 1982-1999 --> 2000-2012
(26,26.5]	6	5	3	9	8	7	9
(26.5,26.75]	6	4	3	10	8	5	10
(26.75,27]	7	4	4	10	6	6	10
(27,27.25]	7	2	6	9	7	8	9
(27.25,27.5]	7	5	3	10	7	5	10
(27.5,27.75]	8	7	3	6	7	10	6
(27.75,27.85]	10	5	4	7	5	10	6
(27.85,27.95]	7	3	5	6	9	10	8
(27.95,28.05]	7	3	4	8	10	9	7
(28.05,28.1]	7	2	5	7	10	8	8
(28.1, Inf]	7	4	4	6	9	9	9
(28.1,28.15]	6	3	4	6	10	9	9
(28.15,28.2]	6	4	3	6	10	9	9
(28.2, Inf]	9	9	1	6	8	6	6
total	100.00	60.00	52.00	106.00	114.00	111.00	116.00
SO - 2000-2012 --> 2013-2019
(26,26.5]	8	4	5	9	8	6	8
(26.5,26.75]	8	4	4	10	6	5	10
(26.75,27]	7	3	5	9	7	7	10
(27,27.25]	7	2	6	9	7	8	9
(27.25,27.5]	8	4	4	8	7	9	9
(27.5,27.75]	7	7	3	7	8	10	5
(27.75,27.85]	8	5	3	7	9	10	6
(27.85,27.95]	8	4	4	8	8	10	7
(27.95,28.05]	7	3	4	8	10	9	7
(28.05,28.1]	7	3	6	8	10	6	8
(28.1, Inf]	7	4	4	6	9	9	9
(28.1,28.15]	6	2	5	6	10	9	9
(28.15,28.2]	5	3	4	5	10	10	9
(28.2, Inf]	9	9	1	6	8	6	6
total	102.00	57.00	58.00	106.00	117.00	114.00	112.00

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