eMLR - model fitting

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Last updated: 2021-07-31

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

This reproducible R Markdown analysis was created with workflowr (version 1.6.2). The Checks tab describes the reproducibility checks that were applied when the results were created. The Past versions tab lists the development history.

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R Markdown file: up-to-date

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Environment: empty

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Seed: set.seed(20200707)

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Session information: recorded

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Cache: none

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File paths: relative

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Repository version: aa1cd6c

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Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.

---

These are the previous versions of the repository in which changes were made to the R Markdown (analysis/eMLR_model_fitting.Rmd) and HTML (docs/eMLR_model_fitting.html) files. If you’ve configured a remote Git repository (see ?wflow_git_remote), click on the hyperlinks in the table below to view the files as they were in that past version.

File	Version	Author	Date	Message
html	a2483f0	Donghe-Zhu	2021-07-31	Build site.
html	3300527	Donghe-Zhu	2021-07-31	Build site.
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html	dcf34b1	Donghe-Zhu	2021-07-23	Build site.
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html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
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html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
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html	4dce223	Donghe-Zhu	2021-07-20	Build site.
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html	c9bdd83	Donghe-Zhu	2021-07-04	Build site.
html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
html	caf62d8	Donghe-Zhu	2021-06-25	Build site.
html	90a9da5	Donghe-Zhu	2021-06-25	Build site.
html	bb413c8	Donghe-Zhu	2021-06-25	Build site.
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html	d517836	Donghe-Zhu	2021-06-24	0
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html	61cae2b	Donghe-Zhu	2021-06-20	1
html	d20c383	Donghe-Zhu	2021-06-18	Build site.
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html	65c89c8	Donghe-Zhu	2021-06-06	Build site.
html	9baa3b2	Donghe-Zhu	2021-06-06	debug
html	b7d99cf	Donghe-Zhu	2021-06-06	Build site.
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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, oxygen, aou, phosphate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove certain predictor combinations
lm_rm_si <- lm_all %>%
  filter(str_detect(lm_coeff, "silicate_star")) %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "silicate_star")) %>%
  filter(str_detect(lm_coeff_filter, "silicate") &
           str_detect(lm_coeff_filter, "nitrate")) %>%
  select(-lm_coeff_filter)

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

lm_rm <- bind_rows(lm_rm_ph, lm_rm_si) %>%
  unique()

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 49

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

# lm_all_fitted_wide_check <- lm_all_fitted_wide %>%
#   group_by(era, basin, gamma_slab) %>% 
#   count() 
#   filter(n < params_local$MLR_number)

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	250	7.1979334	1708.3662436	191.264731	18.5652224	1982-1999 –> 2000-2009	13.9019254	6.7039921	4357.749763	459.163473	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + phosphate	250	7.2197403	1709.8787578	20.516196	18.4307659	1982-1999 –> 2000-2009	13.9277212	6.7079809	4359.734561	46.542224	2	4
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + oxygen + phosphate	250	7.2215121	1708.0014458	15.835005	18.3383490	1982-1999 –> 2000-2009	13.9303608	6.7088488	4355.959972	40.765493	3	6
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	250	7.2466918	1711.7417973	13.538176	18.3192562	1982-1999 –> 2000-2009	13.9651342	6.7184424	4362.834923	31.497165	4	8
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + phosphate + phosphate_star	250	7.2618573	1710.7870800	17.408855	16.6787022	1982-1999 –> 2000-2009	13.9809740	6.7191167	4359.959896	38.188177	5	10
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + phosphate_star	250	7.2715184	1711.4518289	44.423547	16.4958712	1982-1999 –> 2000-2009	13.9928008	6.7212824	4360.880529	84.404775	6	12
Atlantic	(-Inf,26]	2	cstar_tref ~ oxygen + phosphate_star	250	7.2738129	1709.6095822	1.011310	16.3457096	1982-1999 –> 2000-2009	13.9966375	6.7228245	4357.220436	2.180312	7	14
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	250	7.2799472	1712.0310714	8.169451	16.7776384	1982-1999 –> 2000-2009	14.0064718	6.7265246	4362.078797	16.544459	9	17
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + phosphate_star	250	7.2761160	1711.7678683	7.173297	17.6250000	1982-1999 –> 2000-2009	14.0171395	6.7410235	4363.525212	18.523327	8	19
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	250	7.2880506	1714.5873214	19.728433	18.2279143	1982-1999 –> 2000-2009	14.0189197	6.7308690	4367.147698	45.949487	11	20
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	318	6.7479379	2128.7196184	89.880542	17.4938606	2000-2009 –> 2010-2019	13.9458713	7.1979334	3837.085862	178.204096	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	318	6.7845030	2132.1566074	21.775883	18.0723749	2000-2009 –> 2010-2019	14.0042433	7.2197403	3842.035365	36.411380	5	7
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	318	6.7866017	2132.3533193	19.544485	18.1547374	2000-2009 –> 2010-2019	14.0332935	7.2466918	3844.095117	33.082661	8	12
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + phosphate	318	6.7668570	2128.5002634	41.263364	18.0055001	2000-2009 –> 2010-2019	14.0383754	7.2715184	3839.952092	85.686911	3	9
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + oxygen + phosphate_star	318	6.7876571	2130.4522184	13.469174	18.2478513	2000-2009 –> 2010-2019	14.0495145	7.2618573	3841.239298	22.432441	10	15
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	318	6.7892339	2130.5999449	11.372908	18.3051932	2000-2009 –> 2010-2019	14.0691811	7.2799472	3842.631016	19.542359	14	23
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	318	6.7864853	2132.3424044	16.643016	18.2134043	2000-2009 –> 2010-2019	14.0745359	7.2880506	3846.929726	36.371449	7	18
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate	318	6.7889716	2130.5753737	16.469849	18.3472142	2000-2009 –> 2010-2019	14.0997442	7.3107726	3844.719118	35.361099	13	25
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + oxygen + phosphate	318	6.8899468	2139.9652093	10.165418	18.4983454	2000-2009 –> 2010-2019	14.1114589	7.2215121	3847.966655	26.000423	20	23
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + phosphate_star	318	6.9200804	2142.7407302	7.935304	18.2212296	2000-2009 –> 2010-2019	14.1961964	7.2761160	3854.508599	15.108601	21	29
Atlantic	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	931	5.9732032	5979.9851207	441.974108	26.5895956	1982-1999 –> 2000-2009	11.8879338	5.9147306	14537.117222	1263.356200	1	4
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	931	5.9900364	5987.2250664	134.136582	28.0091865	1982-1999 –> 2000-2009	11.9021585	5.9121221	14545.177649	319.871358	2	3
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	931	6.0203955	5996.6383575	37.971382	28.7194868	1982-1999 –> 2000-2009	11.9422982	5.9219026	14559.010920	79.725825	3	7
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate	931	6.0293339	5997.4007731	112.522555	27.5595671	1982-1999 –> 2000-2009	11.9425818	5.9132479	14553.862490	298.235198	4	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	931	6.0336271	6000.7261487	47.318847	28.9643922	1982-1999 –> 2000-2009	11.9607448	5.9271178	14565.452538	127.136916	5	11
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	931	6.0890745	6015.7592825	22.752803	28.1797993	1982-1999 –> 2000-2009	12.0110195	5.9219450	14576.150970	64.484297	6	11
Atlantic	(26,26.5]	3	cstar_tref ~ temp + oxygen + phosphate_star	931	6.1146708	6023.5700653	22.988060	28.3868329	1982-1999 –> 2000-2009	12.0417988	5.9271280	14586.301068	64.656109	7	14
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	931	6.3412121	6091.3077670	74.472848	28.5315793	1982-1999 –> 2000-2009	12.6092758	6.2680637	14803.589479	215.086214	8	16
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate_star	931	6.6186583	6171.0437190	9.255365	29.0926692	1982-1999 –> 2000-2009	13.0661244	6.4474661	14958.784940	28.855569	9	18
Atlantic	(26,26.5]	3	cstar_tref ~ sal + oxygen + phosphate	931	6.7039358	6194.8812463	40.260402	29.1493821	1982-1999 –> 2000-2009	13.1977146	6.4937788	15001.761373	111.148661	10	22
Atlantic	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	1138	6.0951869	7353.3728139	493.151683	30.1030417	2000-2009 –> 2010-2019	12.0683902	5.9732032	13333.357935	935.125791	1	2
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	1138	6.1482451	7375.0995042	124.207690	30.0154069	2000-2009 –> 2010-2019	12.1382815	5.9900364	13362.324571	258.344272	2	4
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate	1138	6.1546621	7375.4737446	121.445532	30.5903685	2000-2009 –> 2010-2019	12.1839960	6.0293339	13372.874518	233.968087	3	7
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1138	6.1974570	7393.2445778	39.454087	29.9523317	2000-2009 –> 2010-2019	12.2178525	6.0203955	13389.882935	77.425468	4	7
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate	1138	6.2137413	7399.2170984	124.066375	29.9669386	2000-2009 –> 2010-2019	12.2473684	6.0336271	13399.943247	258.004347	6	11
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	1138	6.2136344	7397.1779451	32.798339	30.8600536	2000-2009 –> 2010-2019	12.3027089	6.0890745	13412.937228	55.551142	5	11
Atlantic	(26,26.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	1138	6.2332286	7404.3438437	63.008535	30.9682664	2000-2009 –> 2010-2019	12.3478994	6.1146708	13427.913909	105.290113	7	14
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	1138	6.7042195	7570.1337494	84.697284	25.1129759	2000-2009 –> 2010-2019	13.0454316	6.3412121	13661.441516	159.170132	8	16
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate_star	1138	7.0325667	7678.9598664	13.748661	25.0388063	2000-2009 –> 2010-2019	13.6512250	6.6186583	13850.003585	23.004026	11	20
Atlantic	(26,26.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	1138	7.0675336	7690.2484316	23.234466	24.4184009	2000-2009 –> 2010-2019	13.7714694	6.7039358	13885.129678	38.535942	12	22
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate	1005	3.8284753	5562.4243920	223.277124	12.1237281	1982-1999 –> 2000-2009	7.7719145	3.9434392	13171.503962	432.569642	1	2
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1005	3.8336809	5565.1555288	39.062863	12.1183774	1982-1999 –> 2000-2009	7.7802331	3.9465522	13176.383081	81.850422	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	1005	3.8616840	5579.7842020	234.338541	12.1185053	1982-1999 –> 2000-2009	7.8227726	3.9610886	13201.019319	445.248647	3	6
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	1005	3.8779229	5586.2188151	179.905106	13.0665442	1982-1999 –> 2000-2009	7.8783396	4.0004167	13232.346299	330.418501	4	8
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	1005	4.0457510	5671.3775200	16.845023	15.8864237	1982-1999 –> 2000-2009	8.1825705	4.1368195	13408.770216	32.012935	5	10
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	1005	4.0947470	5695.5733493	24.898653	16.3728578	1982-1999 –> 2000-2009	8.2756545	4.1809076	13461.822193	47.217223	6	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + phosphate	1005	4.3826176	5832.1352653	774.698172	14.3082474	1982-1999 –> 2000-2009	8.5328030	4.1501854	13578.308460	1503.758022	7	13
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate	1005	4.4415812	5858.9974236	228.520068	14.5215723	1982-1999 –> 2000-2009	8.5959397	4.1543585	13607.906283	429.300213	8	15
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate_star	1005	4.4945718	5882.8359776	29.035775	14.6471379	1982-1999 –> 2000-2009	8.6614975	4.1669257	13639.966577	56.678971	9	17
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + oxygen + phosphate_star	1005	4.5093739	5889.4446625	28.784129	14.6839968	1982-1999 –> 2000-2009	8.6811494	4.1717756	13649.741563	56.439502	10	19
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1041	4.2094335	5958.7470775	66.291804	21.4850572	2000-2009 –> 2010-2019	8.0379088	3.8284753	11521.171469	114.427926	4	5
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1041	4.2055500	5956.8253943	59.841770	21.3864680	2000-2009 –> 2010-2019	8.0392309	3.8336809	11521.980923	98.904633	3	5
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	1041	4.1831084	5945.6857213	217.260748	20.7541854	2000-2009 –> 2010-2019	8.0447924	3.8616840	11525.469923	451.599289	1	4
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	1041	4.1937700	5948.9854073	135.420740	20.5662069	2000-2009 –> 2010-2019	8.0716929	3.8779229	11535.204222	315.325846	2	6
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	1041	4.2229456	5963.4195306	14.860655	21.6368425	2000-2009 –> 2010-2019	8.2686967	4.0457510	11634.797050	31.705678	5	10
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	1041	4.2336166	5968.6739129	22.386595	21.7592155	2000-2009 –> 2010-2019	8.3283636	4.0947470	11664.247262	47.285248	6	12
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + phosphate	1041	4.7586453	6212.0730639	712.773791	18.7379384	2000-2009 –> 2010-2019	9.1412630	4.3826176	12044.208329	1487.471962	9	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate	1041	4.8484782	6251.0103140	200.059603	19.1524078	2000-2009 –> 2010-2019	9.2900594	4.4415812	12110.007738	428.579672	11	19
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate_star	1041	4.9060919	6275.6045525	32.503256	19.9393999	2000-2009 –> 2010-2019	9.4006637	4.4945718	12158.440530	61.539031	12	21
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + oxygen + phosphate_star	1041	4.9167873	6280.1384358	32.409002	20.0729675	2000-2009 –> 2010-2019	9.4261612	4.5093739	12169.583098	61.193131	13	23
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	1569	3.4280169	8330.5883923	146.345809	33.7619016	1982-1999 –> 2000-2009	6.7950640	3.3670472	19532.730774	358.264927	1	4
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1569	3.4535490	8353.8738392	31.434793	34.3873085	1982-1999 –> 2000-2009	6.8177770	3.3642280	19552.456274	62.936706	3	4
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	1569	3.4547795	8354.9916953	33.342973	34.4050863	1982-1999 –> 2000-2009	6.8191608	3.3643813	19553.767795	64.546673	4	6
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	1569	3.4352678	8335.2189107	114.772479	34.2146121	1982-1999 –> 2000-2009	6.8527765	3.4175087	19598.582947	281.983605	2	6
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	1569	3.6401572	8517.0094438	15.799597	35.8119430	1982-1999 –> 2000-2009	7.3056112	3.6654540	20078.045090	33.776126	6	11
Atlantic	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	1569	3.6420495	8518.6402227	21.497695	35.6672482	1982-1999 –> 2000-2009	7.3342847	3.6922352	20110.615078	44.507151	7	13
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + phosphate_star	1569	3.5380795	8427.7559388	21.743917	33.0771172	1982-1999 –> 2000-2009	7.5640987	4.0260192	20387.551562	39.925292	5	15
Atlantic	(26.75,27]	2	cstar_tref ~ sal + phosphate_star	1569	3.6435090	8517.8975013	6.327058	35.3626093	1982-1999 –> 2000-2009	7.6715271	4.0280181	20477.802764	13.921763	8	19
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate	1569	4.3217630	9055.6048972	144.814009	23.1121178	1982-1999 –> 2000-2009	8.2656890	3.9439260	20927.844569	348.083856	9	16
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	1569	4.3949246	9108.2823887	25.938935	23.2457211	1982-1999 –> 2000-2009	8.3598271	3.9649025	21003.066526	55.981248	10	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	1467	3.5038511	7853.9987364	126.080022	21.9510259	2000-2009 –> 2010-2019	6.9318680	3.4280169	16184.587129	272.425831	1	2
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	1467	3.5073165	7854.8991577	78.264979	21.8525873	2000-2009 –> 2010-2019	6.9425844	3.4352678	16190.118068	193.037458	2	4
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1467	3.5142058	7862.6566451	38.181070	21.9915579	2000-2009 –> 2010-2019	6.9677548	3.4535490	16216.530484	69.615863	4	7
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1467	3.5138535	7862.3624477	40.644596	21.9898640	2000-2009 –> 2010-2019	6.9686329	3.4547795	16217.354143	78.734653	3	7
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + phosphate_star	1467	3.5475186	7888.3383525	21.948202	22.0755126	2000-2009 –> 2010-2019	7.0855981	3.5380795	16316.094291	43.692119	5	10
Atlantic	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	1467	3.5798588	7914.9644122	14.291474	22.1924824	2000-2009 –> 2010-2019	7.2219083	3.6420495	16433.604635	35.789169	6	13
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	1467	3.5894152	7922.7862781	11.155463	22.2222201	2000-2009 –> 2010-2019	7.2295725	3.6401572	16439.795722	26.955060	7	13
Atlantic	(26.75,27]	2	cstar_tref ~ sal + phosphate_star	1467	3.8069041	8093.3846232	6.132429	22.8559890	2000-2009 –> 2010-2019	7.4504131	3.6435090	16611.282125	12.459487	8	16
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + phosphate_star	1467	4.7534280	8746.8786436	834.715279	17.7032118	2000-2009 –> 2010-2019	8.9386131	4.1851851	17701.714582	1686.211106	10	19
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate	1467	4.8165224	8785.5667437	125.961399	17.9614208	2000-2009 –> 2010-2019	9.1382854	4.3217630	17841.171641	270.775408	11	21
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + phosphate	1898	3.2184730	9835.4617098	462.472219	31.3464118	1982-1999 –> 2000-2009	6.4996169	3.2811439	25943.886361	1149.618228	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	1898	3.2208465	9838.2601618	52.498311	31.5378710	1982-1999 –> 2000-2009	6.5037283	3.2828817	25949.953865	170.159561	2	4
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	1898	3.2238034	9839.7433863	45.939971	31.7653752	1982-1999 –> 2000-2009	6.5080991	3.2842958	25952.095875	145.550245	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1898	3.2377431	9858.1219223	29.348126	31.9785497	1982-1999 –> 2000-2009	6.5433580	3.3056149	26012.421798	73.277165	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1898	3.2441528	9865.6293932	28.351517	32.1514274	1982-1999 –> 2000-2009	6.5521168	3.3079639	26024.315075	68.805676	5	10
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + phosphate	1898	3.3589069	9995.5834292	33.412426	31.7791337	1982-1999 –> 2000-2009	6.8389295	3.4800227	26465.327533	102.399542	6	12
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	1898	3.4405628	10086.7613890	17.571865	32.0378090	1982-1999 –> 2000-2009	6.9549741	3.5144112	26617.215686	42.271033	7	14
Atlantic	(27,27.25]	3	cstar_tref ~ oxygen + aou + phosphate	1898	3.8841489	10547.0977963	349.367495	15.7173029	1982-1999 –> 2000-2009	7.9225541	4.0384053	27935.601431	973.641628	8	17
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	1898	3.8904404	10553.2415362	43.924791	16.8622985	1982-1999 –> 2000-2009	7.9508765	4.0604361	27975.334871	127.503608	9	19
Atlantic	(27,27.25]	3	cstar_tref ~ temp + phosphate + phosphate_star	1898	3.8978569	10560.4711045	25.162872	17.2493277	1982-1999 –> 2000-2009	7.9749643	4.0771075	28007.861794	57.737646	10	21
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	1874	4.2086536	10716.5928280	63.189145	26.4923007	2000-2009 –> 2010-2019	7.4295002	3.2208465	20554.852990	115.687456	1	3
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1874	4.2180955	10724.9918084	566.878215	26.8892132	2000-2009 –> 2010-2019	7.4365685	3.2184730	20560.453518	1029.350434	2	3
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	1874	4.2233281	10727.6383639	50.959806	26.8684372	2000-2009 –> 2010-2019	7.4471315	3.2238034	20567.381750	96.899777	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + phosphate	1874	4.2451204	10748.9282875	58.791792	27.4633782	2000-2009 –> 2010-2019	7.4828635	3.2377431	20607.050210	107.828122	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1874	4.2574477	10759.7962386	30.689080	27.8434539	2000-2009 –> 2010-2019	7.5016006	3.2441528	20625.425632	59.040596	5	10
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + phosphate_star	1874	4.2796494	10777.2904699	18.125955	26.2204893	2000-2009 –> 2010-2019	7.6385563	3.3589069	20772.873899	35.525848	6	12
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	1874	4.3358051	10826.1502653	18.090960	26.0293015	2000-2009 –> 2010-2019	7.7763680	3.4405628	20912.911654	35.662824	7	14
Atlantic	(27,27.25]	3	cstar_tref ~ aou + phosphate + phosphate_star	1874	5.2510026	11543.9361194	762.481704	16.2434917	2000-2009 –> 2010-2019	9.1351514	3.8841489	22091.033916	1401.813217	10	18
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	1874	5.2479692	11541.7704021	51.470676	16.5183669	2000-2009 –> 2010-2019	9.1384096	3.8904404	22095.011938	95.395467	8	17
Atlantic	(27,27.25]	3	cstar_tref ~ temp + oxygen + phosphate_star	1874	5.2497931	11543.0727602	25.590658	17.3230865	2000-2009 –> 2010-2019	9.1476500	3.8978569	22103.543865	47.082139	9	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2834	2.8138891	13918.4724799	28.437557	17.7813484	1982-1999 –> 2000-2009	5.8955903	3.0817012	33288.422160	71.678758	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2834	2.8405567	13971.9358988	29.788318	17.4363062	1982-1999 –> 2000-2009	5.9314307	3.0908740	33364.497628	70.432031	2	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	2834	2.8585111	14007.6490015	24.177383	17.0008407	1982-1999 –> 2000-2009	5.9723776	3.1138666	33456.596023	85.709671	3	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	2834	2.8611326	14012.8447118	236.875261	17.2078999	1982-1999 –> 2000-2009	5.9755966	3.1144640	33463.251327	520.819282	4	8
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	2834	2.8611770	14010.9327284	18.839299	17.1764747	1982-1999 –> 2000-2009	5.9757930	3.1146160	33459.710611	74.228269	5	10
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	2834	2.8799948	14048.0887678	16.158360	17.3041546	1982-1999 –> 2000-2009	6.0672702	3.1872754	33672.311515	46.222842	6	12
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	2834	3.0303263	14336.4867956	12.897021	17.6678112	1982-1999 –> 2000-2009	6.3148837	3.2845574	34189.447628	43.275691	7	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	2834	3.0472143	14367.9869843	15.598023	12.9691321	1982-1999 –> 2000-2009	6.5127315	3.4655172	34628.964579	44.026491	8	16
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + phosphate	2834	3.0887593	14444.7411129	17.862407	12.9422299	1982-1999 –> 2000-2009	6.5776053	3.4888459	34756.761703	54.148366	9	18
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate	2834	3.1107702	14484.9886881	19.224822	13.0110569	1982-1999 –> 2000-2009	6.6351636	3.5243934	34874.134111	57.990395	10	20
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2585	4.1940645	14759.9876711	42.444660	31.7622061	2000-2009 –> 2010-2019	7.0079536	2.8138891	28678.460151	70.882217	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	2585	4.2051734	14773.6634877	42.620953	35.1454090	2000-2009 –> 2010-2019	7.0457301	2.8405567	28745.599386	72.409271	3	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate	2585	4.2051432	14773.6263476	185.540163	34.1739785	2000-2009 –> 2010-2019	7.0662758	2.8611326	28786.471059	408.450368	2	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	2585	4.2130896	14783.3868569	36.026595	36.4384275	2000-2009 –> 2010-2019	7.0716007	2.8585111	28791.035858	60.203978	5	8
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + phosphate_star	2585	4.2053634	14771.8970611	27.464279	34.7705163	2000-2009 –> 2010-2019	7.0853582	2.8799948	28819.985829	40.473232	4	10
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	2585	4.2314137	14803.8241232	30.552639	39.1298291	2000-2009 –> 2010-2019	7.0925907	2.8611770	28814.756852	49.391938	6	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	2585	4.2606327	14839.4015401	26.156930	24.3647043	2000-2009 –> 2010-2019	7.2909589	3.0303263	29175.888336	39.053951	7	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	2585	4.4482486	15062.1911979	30.141112	22.4730935	2000-2009 –> 2010-2019	7.4954629	3.0472143	29430.178182	45.739134	9	17
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	2585	4.4835225	15103.0267495	32.229689	22.2794764	2000-2009 –> 2010-2019	7.5722818	3.0887593	29547.767862	54.220758	10	19
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate	2585	4.4922704	15113.1043071	24.742469	22.2627512	2000-2009 –> 2010-2019	7.6030406	3.1107702	29598.092995	43.967290	11	21
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3833	3.6773050	20872.0958322	25.970306	17.4807374	1982-1999 –> 2000-2009	6.7386645	3.0613595	48617.148243	46.154638	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + phosphate	3833	3.7031013	20925.6851565	112.384853	17.4101939	1982-1999 –> 2000-2009	6.8004593	3.0973579	48798.489939	217.050877	2	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	3833	3.7174980	20955.4306567	21.383504	18.7759904	1982-1999 –> 2000-2009	6.8251849	3.1076869	48864.617243	41.810432	4	9
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate	3833	3.7215007	20961.6803948	11.774352	19.5095539	1982-1999 –> 2000-2009	6.8317332	3.1102325	48877.814832	29.921095	5	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	3833	3.7416200	21005.0128878	27.864913	19.2945548	1982-1999 –> 2000-2009	6.8428092	3.1011892	48891.326831	49.392905	7	10
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + phosphate	3833	3.7729372	21066.9100554	8.555923	20.7518074	1982-1999 –> 2000-2009	6.8741814	3.1012441	48951.417558	23.020700	10	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate_star	3833	3.7232977	20965.3811996	8.035630	15.4604076	1982-1999 –> 2000-2009	6.8884722	3.1651745	49072.872490	19.867575	6	15
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	3833	3.7045000	20926.5799576	11.768728	19.5271994	1982-1999 –> 2000-2009	6.9133086	3.2088086	49183.692373	24.011750	3	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	3833	3.7530470	21026.3894731	14.157652	21.1255780	1982-1999 –> 2000-2009	7.0187539	3.2657068	49475.577951	30.153396	8	20
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + phosphate + phosphate_star	3833	3.7823657	21086.0432753	21.231318	21.7961491	1982-1999 –> 2000-2009	7.0444852	3.2621195	49523.221040	41.510855	11	22
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3579	4.4709484	20888.5867662	20.748594	18.3590677	2000-2009 –> 2010-2019	8.1482534	3.6773050	41760.682598	46.718900	2	3
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3579	4.4688017	20885.1491666	90.306862	18.1822610	2000-2009 –> 2010-2019	8.1719031	3.7031013	41810.834323	202.691715	1	3
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	3579	4.4784918	20900.6536618	17.277755	18.7675568	2000-2009 –> 2010-2019	8.1959898	3.7174980	41856.084319	38.661259	4	8
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate_star	3579	4.4777434	20897.4574298	8.869660	18.3282826	2000-2009 –> 2010-2019	8.2010412	3.7232977	41862.838629	16.905290	3	9
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	3579	4.5227439	20969.0348954	11.763973	19.1969777	2000-2009 –> 2010-2019	8.2272439	3.7045000	41895.614853	23.532701	6	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3579	4.4939914	20925.3839350	23.848078	19.1641588	2000-2009 –> 2010-2019	8.2356114	3.7416200	41930.396823	51.712990	5	12
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	3579	4.5333502	20985.8015020	13.227110	19.6237254	2000-2009 –> 2010-2019	8.2863973	3.7530470	42012.190975	27.384762	9	17
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate	3579	4.5683586	21040.8661085	12.019028	19.1663463	2000-2009 –> 2010-2019	8.2898593	3.7215007	42002.546503	23.793381	11	16
Atlantic	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + phosphate	3579	4.5263519	20974.7428192	52.922499	19.4097638	2000-2009 –> 2010-2019	8.2956824	3.7693305	42034.321140	113.117535	7	16
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + phosphate + phosphate_star	3579	4.5536486	21017.7803829	23.837160	20.0347258	2000-2009 –> 2010-2019	8.3360143	3.7823657	42103.823658	45.068478	10	21
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2432	4.5298248	14261.6804046	834.084312	28.0034579	1982-1999 –> 2000-2009	7.8849807	3.3551560	32006.602086	1520.912296	1	2
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + aou	2432	4.5444719	14275.3826994	100.612478	28.5483469	1982-1999 –> 2000-2009	7.8996328	3.3551609	32018.314318	247.075432	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2432	4.6070642	14343.9187950	42.524056	31.8794285	1982-1999 –> 2000-2009	7.9949889	3.3879247	32154.387365	69.836544	3	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2432	4.6079772	14344.8826195	34.985351	31.9569548	1982-1999 –> 2000-2009	7.9970900	3.3891128	32157.715924	58.373075	4	10
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	2432	4.6081945	14343.1119449	21.466792	31.9950898	1982-1999 –> 2000-2009	7.9999164	3.3917219	32159.135145	41.784700	5	12
Atlantic	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + phosphate_star	2432	4.6351771	14371.5093073	79.360880	36.5240538	1982-1999 –> 2000-2009	8.0174195	3.3822425	32168.657362	172.011930	6	9
Atlantic	(27.75,27.85]	2	cstar_tref ~ oxygen + aou	2432	4.6360106	14370.3839508	7.391825	36.7619074	1982-1999 –> 2000-2009	8.0182749	3.3822642	32165.575412	14.937194	7	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	2432	4.6640534	14401.7171358	8.154311	37.0479416	1982-1999 –> 2000-2009	8.0665053	3.4024519	32239.041801	19.192886	8	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	2432	4.6697160	14407.6189187	15.387507	37.4817589	1982-1999 –> 2000-2009	8.0732661	3.4035501	32247.119987	34.714489	9	18
Atlantic	(27.75,27.85]	2	cstar_tref ~ temp + aou	2432	4.6835850	14420.0435367	1.031959	38.8968152	1982-1999 –> 2000-2009	8.0893333	3.4057483	32261.898756	2.071596	11	21
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + phosphate	2443	5.2653542	15061.3048421	345.586248	18.3710317	2000-2009 –> 2010-2019	9.7951790	4.5298248	29322.985247	649.977911	3	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2443	5.2626935	15058.8351851	35.243541	18.0068545	2000-2009 –> 2010-2019	9.8697577	4.6070642	29402.753980	77.767597	2	5
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2443	5.2625732	15058.7235255	29.404848	18.0811579	2000-2009 –> 2010-2019	9.8705504	4.6079772	29403.606145	64.390199	1	5
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + aou	2443	5.3466295	15134.1483201	138.304693	14.6546865	2000-2009 –> 2010-2019	9.8911014	4.5444719	29409.531019	238.917171	15	17
Atlantic	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + phosphate_star	2443	5.2712842	15064.8044963	105.737707	17.9041851	2000-2009 –> 2010-2019	9.9064613	4.6351771	29436.313804	185.098587	5	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	2443	5.2746079	15067.8843296	9.729942	18.0528410	2000-2009 –> 2010-2019	9.9386613	4.6640534	29469.601465	17.884253	7	15
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	2443	5.2736204	15066.9694751	19.710734	17.6090343	2000-2009 –> 2010-2019	9.9433364	4.6697160	29474.588394	35.098242	6	15
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	2443	5.3397352	15127.8439333	19.490085	14.4579251	2000-2009 –> 2010-2019	9.9479297	4.6081945	29470.955878	40.956877	13	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2443	5.2693262	15064.9892916	37.237755	17.4264946	2000-2009 –> 2010-2019	9.9487925	4.6794663	29484.753565	82.520581	4	14
Atlantic	(27.75,27.85]	2	cstar_tref ~ oxygen + aou	2443	5.3469960	15132.4832598	9.641305	14.5864747	2000-2009 –> 2010-2019	9.9830067	4.6360106	29502.867211	17.033131	16	23
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + phosphate	7870	5.2440808	48428.8459945	222.842792	33.9067818	1982-1999 –> 2000-2009	9.3621923	4.1181116	104135.494023	380.592364	4	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7870	5.2091910	48323.7750592	26.280694	37.0870396	1982-1999 –> 2000-2009	9.3911451	4.1819541	104332.717370	35.491249	2	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	7870	5.2118361	48331.7654446	20.705977	36.6880311	1982-1999 –> 2000-2009	9.3931613	4.1813253	104337.752695	36.820600	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	7870	5.1971044	48287.2121834	28.144337	38.8988424	1982-1999 –> 2000-2009	9.4065379	4.2094335	104424.851038	38.138855	1	7
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + oxygen + aou	7870	5.3251361	48668.2708369	59.076797	34.0802143	1982-1999 –> 2000-2009	9.4484777	4.1233416	104397.858573	172.185097	7	9
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + oxygen	7870	5.2451489	48430.0517281	10.776369	36.5333140	1982-1999 –> 2000-2009	9.4545826	4.2094337	104565.691491	18.284935	5	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + aou	7870	5.2807159	48536.4232354	10.607737	34.2620107	1982-1999 –> 2000-2009	9.4628597	4.1821438	104544.256648	17.567885	6	11
Atlantic	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + phosphate_star	7870	5.4266977	48965.6390573	45.548204	44.3532501	1982-1999 –> 2000-2009	9.7924273	4.3657297	105817.663130	169.416142	8	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	7870	5.4312643	48978.8789755	8.106239	44.8569746	1982-1999 –> 2000-2009	9.8275380	4.3962736	105967.901752	20.696932	11	20
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	7870	5.4313042	48978.9946262	3.730007	44.6859792	1982-1999 –> 2000-2009	9.8344516	4.4031474	105998.716901	10.916862	12	22
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6186	5.9746292	39682.3302426	10.742157	34.1341076	2000-2009 –> 2010-2019	11.1717337	5.1971044	87969.542426	38.886494	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6186	6.0013607	39737.5612199	10.290531	36.9517800	2000-2009 –> 2010-2019	11.2105517	5.2091910	88061.336279	36.571224	2	4
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	6186	6.0139028	39763.3900495	14.942487	39.0092401	2000-2009 –> 2010-2019	11.2257388	5.2118361	88095.155494	35.648465	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	6186	6.0846312	39908.0460276	554.475472	43.8248712	2000-2009 –> 2010-2019	11.3287120	5.2440808	88336.892022	1039.452804	4	8
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + oxygen	6186	6.4911839	40706.2522776	7.505328	104.1020138	2000-2009 –> 2010-2019	11.7363328	5.2451489	89136.304006	18.281696	9	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	6186	6.3390304	40412.7995075	308.327916	32.2611267	2000-2009 –> 2010-2019	11.7657281	5.4266977	89378.438565	401.322465	5	13
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	6186	6.3390716	40412.8797904	14.831656	32.3700588	2000-2009 –> 2010-2019	11.7703359	5.4312643	89391.758766	22.937895	6	17
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	6186	6.3402157	40415.1126335	5.587107	35.2001085	2000-2009 –> 2010-2019	11.7715200	5.4313042	89394.107260	9.317114	7	19
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + phosphate + phosphate_star	6186	6.3448835	40424.2176657	8.622906	41.0809115	2000-2009 –> 2010-2019	11.8007474	5.4558640	89474.226374	15.550903	8	26
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + aou	6186	6.5706518	40856.7959253	7.483865	110.0801338	2000-2009 –> 2010-2019	11.8513676	5.2807159	89393.219161	18.091603	12	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	6329	3.6736305	34443.2655161	140.193692	30.3148036	1982-1999 –> 2000-2009	6.6333931	2.9597626	79508.090032	265.775035	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	6329	3.7599519	34737.2571994	32.159134	30.2323542	1982-1999 –> 2000-2009	6.8432155	3.0832636	80537.586905	74.267461	2	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6329	3.7722465	34778.5797642	39.326140	30.4654782	1982-1999 –> 2000-2009	6.8746195	3.1023731	80690.076353	64.544569	3	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + phosphate	6329	3.8150807	34921.5026728	37.959015	31.3530784	1982-1999 –> 2000-2009	6.9806481	3.1655674	81195.807958	81.357967	4	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + phosphate	6329	4.0915637	35805.1247187	20.408638	40.8677334	1982-1999 –> 2000-2009	7.0541726	2.9626089	80885.242883	142.840761	7	9
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + aou	6329	4.1175954	35885.4032626	55.238025	26.1853111	1982-1999 –> 2000-2009	7.1141870	2.9965917	81170.725142	167.358906	8	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + aou	6329	4.0873588	35792.1094116	21.062026	26.4061359	1982-1999 –> 2000-2009	7.2168516	3.1294928	81858.201510	26.645053	6	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	6329	4.1438622	35965.8942992	6.266983	42.1410579	1982-1999 –> 2000-2009	7.2280046	3.0841424	81769.351762	17.134557	9	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	6329	4.1599762	36015.0214181	3.158638	41.9310797	1982-1999 –> 2000-2009	7.2624367	3.1024605	81925.025093	9.782760	10	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + oxygen	6329	4.0666618	35727.8507387	19.385274	27.8571300	1982-1999 –> 2000-2009	7.2642422	3.1975804	82181.192597	24.837077	5	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + phosphate	4623	3.9320887	25790.8584770	136.649165	39.1605026	2000-2009 –> 2010-2019	7.6057192	3.6736305	60234.123993	276.842856	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4623	4.0118842	25976.6129552	15.767312	37.8993501	2000-2009 –> 2010-2019	7.7718361	3.7599519	60713.870155	47.926446	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4623	4.0277303	26013.0607761	18.601230	37.6987386	2000-2009 –> 2010-2019	7.7999768	3.7722465	60791.640540	57.927371	3	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + phosphate	4623	4.0688388	26106.9504397	17.842470	37.3986385	2000-2009 –> 2010-2019	7.8839195	3.8150807	61028.453112	55.801486	4	8
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + phosphate	4623	4.2028816	26404.6386057	33.260537	37.7941722	2000-2009 –> 2010-2019	8.2944453	4.0915637	62209.763325	53.669176	5	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	4623	4.2917975	26598.2059938	7.281085	40.2887102	2000-2009 –> 2010-2019	8.4356597	4.1438622	62564.100293	13.548067	6	15
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	4623	4.3258720	26671.3244104	3.142607	40.6283644	2000-2009 –> 2010-2019	8.4858483	4.1599762	62686.345829	6.301245	7	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + oxygen	4623	4.6751239	27389.2014790	10.126058	31.5403405	2000-2009 –> 2010-2019	8.7417857	4.0666618	63117.052218	29.511332	12	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + phosphate	4623	4.4490156	26930.8514063	6.513687	42.8598904	2000-2009 –> 2010-2019	8.7444268	4.2954112	63351.408868	12.010521	8	25
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	4623	4.5045321	27045.5126350	6.245243	44.6152948	2000-2009 –> 2010-2019	8.7521373	4.2476051	63324.402343	11.699321	9	23
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2657	2.6996293	12829.6496455	79.413764	22.9102024	1982-1999 –> 2000-2009	4.1954770	1.4958477	28274.512593	144.003937	1	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	2657	2.7111163	12852.2129454	94.421651	23.0785395	1982-1999 –> 2000-2009	4.2067785	1.4956622	28296.025067	168.093576	2	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	2657	2.7266736	12882.6191704	61.938918	23.2477555	1982-1999 –> 2000-2009	4.2221493	1.4954757	28325.375173	114.269648	3	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate	2657	2.7287332	12886.6316257	412.021644	23.0991302	1982-1999 –> 2000-2009	4.2241115	1.4953783	28328.835615	680.319963	4	5
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	2657	2.7294746	12886.0752904	37.987113	23.1585499	1982-1999 –> 2000-2009	4.2399069	1.5104323	28411.140694	69.906970	5	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + phosphate_star	2657	2.7303425	12887.7647795	23.818378	23.0973312	1982-1999 –> 2000-2009	4.2525633	1.5222208	28478.695088	47.539795	6	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	2657	2.7423492	12911.0819523	24.149544	23.4852981	1982-1999 –> 2000-2009	4.2857636	1.5434144	28619.152484	48.065739	7	20
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	2657	2.7769229	12977.6584114	50.124759	25.6045687	1982-1999 –> 2000-2009	4.3091450	1.5322221	28624.069415	89.643192	8	15
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + phosphate_star	2657	2.7844598	12992.0617516	50.813480	25.6796326	1982-1999 –> 2000-2009	4.3177269	1.5332671	28644.248648	92.131432	9	17
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	2657	2.8008597	13023.2683415	61.494922	25.8920072	1982-1999 –> 2000-2009	4.3354337	1.5345740	28682.673269	104.344935	10	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2675	2.0830374	11529.2961258	56.884456	31.2275492	2000-2009 –> 2010-2019	4.7826667	2.6996293	24358.945771	136.298221	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	2675	2.0854140	11535.3967971	67.513027	31.3335340	2000-2009 –> 2010-2019	4.7965304	2.7111163	24387.609743	161.934678	3	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	2675	2.0883622	11542.9547124	59.170825	31.4981153	2000-2009 –> 2010-2019	4.8150357	2.7266736	24425.573883	121.109743	5	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	2675	2.0959145	11562.2675675	349.504870	31.8384748	2000-2009 –> 2010-2019	4.8246477	2.7287332	24448.899193	761.526515	7	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	2675	2.1224760	11627.6419747	34.889118	32.0100984	2000-2009 –> 2010-2019	4.8519506	2.7294746	24513.717265	72.876230	9	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + phosphate + phosphate_star	2675	2.1293467	11644.9326312	27.940361	32.2652613	2000-2009 –> 2010-2019	4.8596892	2.7303425	24532.697411	59.066937	10	16
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	2675	2.0831280	11527.5289838	43.326950	31.1445604	2000-2009 –> 2010-2019	4.8600509	2.7769229	24505.187395	93.451709	2	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + phosphate + phosphate_star	2675	2.0856256	11533.9395201	93.151240	31.2081787	2000-2009 –> 2010-2019	4.8700854	2.7844598	24526.001272	197.387200	4	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	2675	2.0886684	11541.7391111	59.156761	31.3481958	2000-2009 –> 2010-2019	4.8895281	2.8008597	24565.007453	120.651683	6	16
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	2675	2.1591021	11719.1756282	19.658949	32.8415062	2000-2009 –> 2010-2019	4.9014513	2.7423492	24630.257581	43.808493	16	23
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	2691	1.4029637	9471.0019789	47.327612	8.6190062	1982-1999 –> 2000-2009	2.6832957	1.2803320	23931.056630	111.815932	3	4
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	2691	1.3964243	9445.8573524	49.780216	8.5006246	1982-1999 –> 2000-2009	2.6837237	1.2872993	23952.975341	114.433274	2	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2691	1.3937985	9435.7274654	47.314737	8.4509316	1982-1999 –> 2000-2009	2.6852533	1.2914548	23970.794332	111.976128	1	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	2691	1.4040863	9475.3067427	203.548314	8.6290160	1982-1999 –> 2000-2009	2.6867560	1.2826697	23951.180565	363.128941	4	6
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	2691	1.4060261	9480.7370938	26.789063	8.5933056	1982-1999 –> 2000-2009	2.6908402	1.2848141	23969.096731	84.777097	5	8
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + oxygen + phosphate	2691	1.4987078	9824.3018465	23.396362	8.6927178	1982-1999 –> 2000-2009	2.7930238	1.2943160	24376.560103	71.282578	6	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate_star	2691	1.6103949	10211.1393732	20.503539	8.8903325	1982-1999 –> 2000-2009	2.9324919	1.3220970	24947.562485	68.736728	7	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	2691	1.8431706	10937.7513847	24.006737	11.9950667	1982-1999 –> 2000-2009	3.1878634	1.3446928	25821.134302	68.368031	10	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + oxygen + phosphate_star	2691	1.8377434	10921.8810307	21.465783	11.8876569	1982-1999 –> 2000-2009	3.1882472	1.3505037	25842.658104	67.261288	9	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate_star	2691	1.8359971	10916.7643351	19.946001	11.8524363	1982-1999 –> 2000-2009	3.1907842	1.3547871	25865.002751	63.888765	8	19
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	2931	1.4174244	10374.7261253	49.736647	12.9475833	2000-2009 –> 2010-2019	2.8203881	1.4029637	19845.728104	97.064260	2	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + phosphate	2931	1.4167314	10371.8595317	117.586671	12.9656869	2000-2009 –> 2010-2019	2.8208177	1.4040863	19847.166274	321.134984	1	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + phosphate	2931	1.4267398	10413.1255552	49.863749	12.9260105	2000-2009 –> 2010-2019	2.8231642	1.3964243	19858.982908	99.643964	4	6
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	2931	1.4174250	10372.7285872	44.536345	12.9473642	2000-2009 –> 2010-2019	2.8234511	1.4060261	19853.465681	71.325408	3	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2931	1.4336435	10441.4222333	49.998033	12.8474688	2000-2009 –> 2010-2019	2.8274420	1.3937985	19877.149699	97.312770	5	6
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + oxygen + phosphate	2931	1.4454886	10487.6563611	37.974299	13.5851867	2000-2009 –> 2010-2019	2.9441964	1.4987078	20311.958207	61.370660	6	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate_star	2931	1.5030803	10716.6796189	33.666735	14.5707441	2000-2009 –> 2010-2019	3.1134752	1.6103949	20927.818992	54.170274	7	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + phosphate	2931	1.5574828	10925.0994397	76.307973	19.6525989	2000-2009 –> 2010-2019	3.4150133	1.8575306	21904.619073	164.659758	8	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	2931	1.5769808	10998.0296596	35.053767	19.8818083	2000-2009 –> 2010-2019	3.4201513	1.8431706	21935.781044	59.060505	9	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + phosphate + phosphate_star	2931	1.5861525	11032.0241937	67.565622	19.9376332	2000-2009 –> 2010-2019	3.4238959	1.8377434	21953.905224	114.311124	10	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1875	0.5650749	3192.5306915	26.542366	3.8255453	1982-1999 –> 2000-2009	1.0265453	0.4614704	6024.516609	49.342920	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	1875	0.5687509	3216.8471028	26.518740	3.8527018	1982-1999 –> 2000-2009	1.0334424	0.4646915	6079.215754	49.280217	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1875	0.5708513	3230.6698513	110.410901	3.8603588	1982-1999 –> 2000-2009	1.0377966	0.4669454	6114.173318	192.831648	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	1875	0.5724330	3241.0457490	40.679213	3.8731420	1982-1999 –> 2000-2009	1.0409733	0.4685403	6139.443883	63.562002	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + phosphate	1875	0.5897109	3350.5588381	36.314701	4.0020076	1982-1999 –> 2000-2009	1.0701655	0.4804546	6356.639918	50.818283	5	10
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + phosphate + phosphate_star	1875	0.5992561	3410.7708665	48.737422	3.6945665	1982-1999 –> 2000-2009	1.0881552	0.4888992	6492.957954	75.238379	6	12
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate_star	1875	0.7234298	4116.9502996	6.040171	4.2628010	1982-1999 –> 2000-2009	1.2416498	0.5182201	7453.545856	14.310009	7	14
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + phosphate + phosphate_star	1875	0.7277393	4139.2228344	23.296828	4.3537714	1982-1999 –> 2000-2009	1.2499889	0.5222497	7509.652037	36.503408	8	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate	1875	0.7294763	4148.1632414	11.149767	4.4060147	1982-1999 –> 2000-2009	1.2543036	0.5248272	7540.097488	17.446913	9	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ oxygen + aou + phosphate	1875	0.7314982	4158.5426927	96.855029	4.4585941	1982-1999 –> 2000-2009	1.2573344	0.5258362	7558.866477	145.262347	10	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1484	0.6486907	2938.8611992	15.910615	3.4436991	2000-2009 –> 2010-2019	1.2137655	0.5650749	6131.391891	42.452980	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + phosphate	1484	0.6515274	2951.8122576	18.032669	3.4675701	2000-2009 –> 2010-2019	1.2202784	0.5687509	6168.659360	57.238463	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1484	0.6531350	2959.1263784	98.795787	3.4975692	2000-2009 –> 2010-2019	1.2239863	0.5708513	6189.796230	409.685372	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	1484	0.6531975	2959.4102115	15.853882	3.4841024	2000-2009 –> 2010-2019	1.2256304	0.5724330	6200.455961	56.533095	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + phosphate	1484	0.6532132	2957.4817452	12.806839	3.4726757	2000-2009 –> 2010-2019	1.2429241	0.5897109	6308.040583	49.121539	5	10
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + phosphate + phosphate_star	1484	0.6735253	3048.3676023	27.828097	3.9992357	2000-2009 –> 2010-2019	1.2727813	0.5992561	6459.138469	76.565519	6	12
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate_star	1484	0.7291030	3283.6989419	5.646095	3.3688120	2000-2009 –> 2010-2019	1.4525328	0.7234298	7400.649242	11.686266	9	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + phosphate + phosphate_star	1484	0.7308575	3290.8323280	20.316576	3.3938554	2000-2009 –> 2010-2019	1.4585967	0.7277393	7430.055162	43.613405	10	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate	1484	0.7311306	3291.9411910	6.163821	3.4009473	2000-2009 –> 2010-2019	1.4606069	0.7294763	7440.104432	17.313588	11	20
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	1484	0.7322864	3296.6293043	73.818883	3.4232014	2000-2009 –> 2010-2019	1.4637846	0.7314982	7455.171997	323.450134	12	22
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + phosphate	3027	0.5639197	5134.2600602	181.035943	5.1166837	1982-1999 –> 2000-2009	0.7967718	0.2328521	4899.492771	265.969414	1	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3027	0.5642495	5137.7991430	88.410382	5.1236942	1982-1999 –> 2000-2009	0.7970698	0.2328203	4902.155104	136.089699	2	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	3027	0.5655001	5151.2030733	87.181308	5.1433915	1982-1999 –> 2000-2009	0.7979019	0.2324017	4903.998866	133.870120	3	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	3027	0.5655722	5151.9742374	184.096951	5.1410859	1982-1999 –> 2000-2009	0.7979723	0.2324001	4904.725263	271.496244	4	5
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + phosphate	3027	0.5662074	5156.7703489	3.200684	5.0807709	1982-1999 –> 2000-2009	0.8123439	0.2461364	5276.423411	5.629501	5	16
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + phosphate + phosphate_star	3027	0.5805453	5308.1650077	191.616676	4.8447589	1982-1999 –> 2000-2009	0.8186598	0.2381145	5214.962250	249.818195	6	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	3027	0.5812029	5315.0186759	2.153085	4.8510280	1982-1999 –> 2000-2009	0.8193249	0.2381220	5222.017983	3.860838	7	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate	3027	0.5831686	5335.4586820	4.439127	4.8599755	1982-1999 –> 2000-2009	0.8220227	0.2388541	5262.179868	7.606825	8	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + phosphate + phosphate_star	3027	0.5836805	5340.7712941	14.108403	4.8630588	1982-1999 –> 2000-2009	0.8224534	0.2387729	5265.307242	22.937254	9	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	3027	0.6060676	5568.6306294	84.598497	5.6582244	1982-1999 –> 2000-2009	0.8409163	0.2348487	5386.711296	132.263093	10	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1525	0.2381226	-36.8948576	74.000706	2.5867919	2000-2009 –> 2010-2019	0.8036227	0.5655001	5114.308216	315.710096	1	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1525	0.2397411	-16.2343606	51.575479	2.5935370	2000-2009 –> 2010-2019	0.8036608	0.5639197	5118.025700	248.472000	5	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	1525	0.2385141	-31.8846979	43.588942	2.5885710	2000-2009 –> 2010-2019	0.8040863	0.5655722	5120.089540	227.685893	2	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1525	0.2403173	-8.9124671	23.408441	2.5876399	2000-2009 –> 2010-2019	0.8045668	0.5642495	5128.886676	111.818822	6	8
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + phosphate	1525	0.2548739	168.4543502	1.849149	2.7229385	2000-2009 –> 2010-2019	0.8210814	0.5662074	5325.224699	5.049833	9	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ oxygen + aou + phosphate_star	1525	0.2405928	-7.4185024	18.006335	2.6122828	2000-2009 –> 2010-2019	0.8211381	0.5805453	5300.746505	53.413950	7	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	1525	0.2411420	-0.4633911	2.410980	2.6063914	2000-2009 –> 2010-2019	0.8223450	0.5812029	5314.555285	4.564065	8	15
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate	1525	0.2394766	-21.6007117	4.477903	2.6086633	2000-2009 –> 2010-2019	0.8226452	0.5831686	5313.857970	8.917030	4	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + oxygen + phosphate_star	1525	0.2390244	-27.3656194	2.422318	2.6062936	2000-2009 –> 2010-2019	0.8227049	0.5836805	5313.405675	4.572501	3	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	1525	0.3175682	839.2215135	22.498048	3.1227545	2000-2009 –> 2010-2019	0.9236359	0.6060676	6407.852143	107.096546	10	20
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	4291	11.3044988	33002.4034715	65.124444	41.3729346	1982-1999 –> 2000-2009	22.7609094	11.4564107	57077.413563	186.397652	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	4291	11.5544525	33190.0926025	29.046723	43.5138072	1982-1999 –> 2000-2009	23.3345663	11.7801139	57438.914488	74.508087	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4291	11.6989684	33296.7652118	9.824745	45.1610923	1982-1999 –> 2000-2009	23.7169486	12.0179802	57670.291199	19.444292	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + phosphate	4291	11.7762632	33353.2798095	26.073663	46.3369884	1982-1999 –> 2000-2009	23.9168645	12.1406013	57790.130438	68.076572	4	8
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate	4291	13.5448534	34552.0795530	27.626607	44.2482730	1982-1999 –> 2000-2009	26.3377440	12.7928906	59313.391415	70.340802	13	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	4291	13.4798717	34510.8082066	9.073359	42.8030198	1982-1999 –> 2000-2009	26.3478402	12.8679685	59308.622122	17.878290	12	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + phosphate + phosphate_star	4291	13.4635092	34500.3846038	17.253496	45.7344353	1982-1999 –> 2000-2009	26.3912721	12.9277630	59327.117943	34.480610	11	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + phosphate + phosphate_star	4291	13.6286668	34605.0199837	100.276777	45.1986719	1982-1999 –> 2000-2009	26.4052599	12.7765931	59358.379890	252.421177	14	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + oxygen + aou	4291	12.9699971	34179.8964771	17.485899	60.0721209	1982-1999 –> 2000-2009	27.5662944	14.5962972	59763.865095	72.754804	5	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + aou	4291	12.9929396	34195.0636433	2.760825	60.4473865	1982-1999 –> 2000-2009	27.6404705	14.6475309	59800.889606	6.324268	6	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	5555	10.8859993	42301.2820872	73.709441	47.6448467	2000-2009 –> 2010-2019	22.1904981	11.3044988	75303.685559	138.833886	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	5555	11.5291786	42939.0360525	31.467572	79.7042432	2000-2009 –> 2010-2019	23.0836311	11.5544525	76129.128655	60.514295	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5555	12.0207900	43402.9514436	9.521143	96.6934411	2000-2009 –> 2010-2019	23.7197584	11.6989684	76699.716655	19.345889	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5555	12.2374317	43601.3957253	19.200476	100.9750449	2000-2009 –> 2010-2019	24.0136949	11.7762632	76954.675535	38.754717	4	8
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ oxygen + aou + phosphate_star	5555	12.9844556	44257.7019973	63.467042	48.5425741	2000-2009 –> 2010-2019	26.6131223	13.6286668	78862.721981	123.857396	5	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate	5555	13.0977087	44354.1855428	31.382834	67.8351294	2000-2009 –> 2010-2019	26.6425620	13.5448534	78906.265096	59.009441	6	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + phosphate_star	5555	13.5521330	44733.1104377	5.372566	52.6484673	2000-2009 –> 2010-2019	26.6427249	13.0905919	78992.433496	10.609171	9	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	5555	13.3463131	44563.0854055	9.406367	88.7637504	2000-2009 –> 2010-2019	26.8261848	13.4798717	79073.893612	18.479725	7	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + oxygen + aou	5555	13.9265563	45035.8978010	17.807323	62.2917157	2000-2009 –> 2010-2019	26.8965534	12.9699971	79215.794278	35.293222	10	15
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + oxygen + phosphate_star	5555	13.5077308	44696.6498331	8.885257	96.8782058	2000-2009 –> 2010-2019	26.9712399	13.4635092	79197.034437	17.583915	8	19
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3503	9.6251333	25817.3137183	493.415896	38.3666251	1982-1999 –> 2000-2009	18.6849141	9.0597808	51449.638363	1149.187658	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	3503	9.7730972	25924.1951571	103.080842	42.3393733	1982-1999 –> 2000-2009	18.9251608	9.1520636	51628.190679	183.125998	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3503	9.9296461	26035.5303502	24.513618	50.7492849	1982-1999 –> 2000-2009	19.2106616	9.2810155	51838.474358	41.599979	3	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate	3503	9.9828181	26072.9465597	99.836700	52.8389810	1982-1999 –> 2000-2009	19.3154765	9.3326583	51915.132588	173.399868	4	8
Indo-Pacific	(26,26.5]	3	cstar_tref ~ oxygen + aou + phosphate_star	3503	11.5342163	27082.9809087	323.589881	50.9164598	1982-1999 –> 2000-2009	21.1463347	9.6121184	53131.824465	633.379758	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate	3503	11.5383669	27085.5015706	102.867083	56.5762315	1982-1999 –> 2000-2009	21.1978071	9.6594402	53169.076149	182.874241	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	3503	11.5887311	27116.0157538	24.413504	65.3223928	1982-1999 –> 2000-2009	21.3642875	9.7755564	53284.095941	36.322859	7	14
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	3503	11.6125299	27130.3886376	43.089978	67.6082811	1982-1999 –> 2000-2009	21.4363016	9.8237717	53333.263815	64.190276	8	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	3503	12.2279718	27492.1883932	79.335062	55.6499497	1982-1999 –> 2000-2009	22.5011349	10.2731631	54011.393012	147.506701	10	19
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + phosphate	3503	12.2345157	27493.9367256	25.771307	56.2317526	1982-1999 –> 2000-2009	22.7603082	10.5257925	54182.946381	55.149397	11	21
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3222	11.1806480	24712.6443252	572.383652	52.9068126	2000-2009 –> 2010-2019	20.8057812	9.6251333	50529.958044	1490.652467	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	3222	11.7002704	25005.3793298	58.460347	53.2504623	2000-2009 –> 2010-2019	21.4733676	9.7730972	50929.574487	161.541189	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3222	12.0803107	25211.3615396	16.468905	62.8310025	2000-2009 –> 2010-2019	22.0099568	9.9296461	51246.891890	40.982523	3	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	3222	12.1850212	25266.9765488	18.513061	64.6860249	2000-2009 –> 2010-2019	22.1678393	9.9828181	51339.923108	42.932743	4	8
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	3222	13.0810962	25722.2474899	333.065750	62.1290234	2000-2009 –> 2010-2019	24.6153125	11.5342163	52805.228399	881.266635	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate	3222	13.2698882	25814.5853039	58.446645	70.0809347	2000-2009 –> 2010-2019	24.8082551	11.5383669	52900.086874	161.313728	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	3222	13.6260570	25985.2642723	12.979807	79.9939429	2000-2009 –> 2010-2019	25.2147881	11.5887311	53101.280026	37.393310	7	14
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + oxygen + phosphate_star	3222	13.7316503	26035.0086781	12.776638	82.1058001	2000-2009 –> 2010-2019	25.3441802	11.6125299	53165.397316	36.925977	8	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	3222	13.8781876	26103.4114634	45.683943	72.4227451	2000-2009 –> 2010-2019	26.1061593	12.2279718	53595.599857	125.019005	9	19
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + phosphate	3222	13.8796971	26102.1123247	16.641745	72.6801147	2000-2009 –> 2010-2019	26.1142128	12.2345157	53596.049050	42.413052	10	21
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3262	8.4856011	23219.8856953	60.184709	37.7180978	1982-1999 –> 2000-2009	17.0548930	8.5692919	45604.885111	114.572033	2	3
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3262	8.4905028	23223.6531506	54.296505	37.6368598	1982-1999 –> 2000-2009	17.0656015	8.5750987	45612.901265	103.278908	3	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	3262	8.4678991	23206.2616499	178.429408	37.5598238	1982-1999 –> 2000-2009	17.1090598	8.6411607	45643.643651	344.623047	1	4
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + phosphate_star	3262	8.5699103	23282.3853722	31.563702	36.0266561	1982-1999 –> 2000-2009	17.2121529	8.6422426	45718.552612	58.744967	5	9
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	3262	8.7768895	23438.0793646	135.912541	34.8746986	1982-1999 –> 2000-2009	17.5021863	8.7252969	45934.234419	256.784924	11	16
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + phosphate	3262	8.7431627	23412.9614352	90.363384	37.2351917	1982-1999 –> 2000-2009	17.5426325	8.7994698	45962.208826	165.732978	9	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	3262	8.8058095	23459.5407780	19.569872	36.7588329	1982-1999 –> 2000-2009	17.6085875	8.8027780	46011.145688	32.472544	13	24
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + phosphate	3262	8.5419502	23261.0654817	29.789222	39.6884670	1982-1999 –> 2000-2009	17.6209757	9.0790255	46006.472095	54.996804	4	21
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + aou	3262	8.5792200	23289.4686919	696.290011	42.0589426	1982-1999 –> 2000-2009	17.7921080	9.2128880	46126.675545	1345.365508	6	26
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ sal + phosphate	3262	8.7769046	23436.0906152	1.497725	34.8284551	1982-1999 –> 2000-2009	17.8606495	9.0837449	46182.756686	2.555692	12	30
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	2648	11.5232290	20472.0550487	141.685715	35.9665947	2000-2009 –> 2010-2019	19.9911282	8.4678991	43678.316699	320.115123	4	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate	2648	11.5216674	20471.3373048	137.311469	35.9831426	2000-2009 –> 2010-2019	20.0072685	8.4856011	43691.223000	321.737132	1	3
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2648	11.5229056	20471.9063896	43.716864	35.9892288	2000-2009 –> 2010-2019	20.0134083	8.4905028	43695.559540	98.013369	2	5
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + phosphate	2648	11.5541509	20484.2475308	20.792470	34.9784804	2000-2009 –> 2010-2019	20.0961012	8.5419502	43745.313013	50.581692	12	16
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + aou	2648	11.5247028	20470.7323586	453.330772	35.8591338	2000-2009 –> 2010-2019	20.1039228	8.5792200	43760.201050	1149.620783	8	14
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + oxygen	2648	11.5231656	20470.0258801	20.603484	35.7642577	2000-2009 –> 2010-2019	20.1582788	8.6351132	43801.860320	50.504669	3	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + aou	2648	11.5245650	20470.6690271	20.609012	35.7582878	2000-2009 –> 2010-2019	20.1718848	8.6473197	43811.719211	50.510979	7	15
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + phosphate_star	2648	11.5291677	20472.7837192	10.289812	36.1358751	2000-2009 –> 2010-2019	20.2723304	8.7431627	43885.745154	28.175662	10	19
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ sal + oxygen	2648	11.5309039	20471.5811974	1.040800	36.5842845	2000-2009 –> 2010-2019	20.2751314	8.7442275	43883.337142	2.115924	11	21
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	2648	11.5241086	20470.4592727	100.324843	36.1067035	2000-2009 –> 2010-2019	20.3009980	8.7768895	43908.538637	236.237385	5	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + phosphate	4020	6.3221795	26246.5404161	85.834613	23.2332041	1982-1999 –> 2000-2009	11.8555777	5.5333982	50877.080461	153.925898	1	2
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + temp + oxygen	4020	6.3229317	26245.4969864	17.232981	23.1997783	1982-1999 –> 2000-2009	11.8567402	5.5338084	50874.620187	42.026529	2	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	4020	6.3615238	26296.4200723	79.008650	23.1121108	1982-1999 –> 2000-2009	11.9096089	5.5480851	50947.810643	142.039725	5	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + phosphate	4020	6.3458195	26276.5476673	856.087887	24.0256096	1982-1999 –> 2000-2009	11.9118003	5.5659807	50953.269588	1507.345040	3	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4020	6.3637620	26299.2483310	34.643487	23.1703547	1982-1999 –> 2000-2009	11.9143627	5.5506007	50954.204587	69.332733	6	10
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + temp + aou	4020	6.3638142	26297.3142176	17.424376	23.1616413	1982-1999 –> 2000-2009	11.9156030	5.5517888	50951.954138	42.242782	7	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	4020	6.3489510	26278.5141819	7.714909	23.8001955	1982-1999 –> 2000-2009	11.9259242	5.5769733	50968.755717	18.670025	4	16
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	4020	6.3638604	26297.3726684	55.881854	23.3373435	1982-1999 –> 2000-2009	11.9322193	5.5683588	50975.454649	112.618266	8	16
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	4020	6.3683414	26303.0318389	5.982382	23.4107064	1982-1999 –> 2000-2009	11.9346964	5.5663550	50978.282675	14.018213	11	18
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + oxygen + aou	4020	6.3646004	26298.3073995	513.027157	24.2486684	1982-1999 –> 2000-2009	11.9406815	5.5760811	50987.290554	1054.720136	9	19
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	3855	6.9984541	25953.2804199	25.363203	27.6967059	2000-2009 –> 2010-2019	13.3206336	6.3221795	52199.820836	61.451950	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3855	7.0474383	26007.0569779	24.523648	27.6121873	2000-2009 –> 2010-2019	13.4112003	6.3637620	52306.305309	59.167135	3	9
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + phosphate + phosphate_star	3855	7.0399701	25996.8823220	10.233646	26.8216151	2000-2009 –> 2010-2019	13.4362365	6.3962664	52335.092252	24.418506	2	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	3855	7.1035690	26068.2215374	47.322977	27.1392580	2000-2009 –> 2010-2019	13.4650928	6.3615238	52364.641610	126.331627	5	10
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	3855	7.0900541	26051.5388863	7.883576	26.7228936	2000-2009 –> 2010-2019	13.5285941	6.4385400	52442.711195	18.671079	4	19
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3855	7.2032067	26175.6138677	518.702861	27.3252727	2000-2009 –> 2010-2019	13.5490262	6.3458195	52452.161535	1374.790748	7	10
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate	3855	7.1516667	26118.2493716	45.571747	26.1691920	2000-2009 –> 2010-2019	13.5974251	6.4457584	52518.430476	117.316218	6	23
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	3855	7.2576963	26231.7177121	36.474819	27.9404046	2000-2009 –> 2010-2019	13.6215568	6.3638604	52529.090380	92.356673	8	16
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	3855	7.3109819	26288.1173098	4.538635	27.3959760	2000-2009 –> 2010-2019	13.6793233	6.3683414	52591.149149	10.521017	9	20
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + temp + oxygen	3855	7.3966473	26377.9329360	13.628151	22.7200436	2000-2009 –> 2010-2019	13.7195790	6.3229317	52623.429922	30.861132	11	13
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	5165	4.5184046	30248.9171608	78.724763	14.4503558	1982-1999 –> 2000-2009	8.0843687	3.5659641	57309.927150	122.809172	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5165	4.5292141	30273.6003228	15.322521	14.3916194	1982-1999 –> 2000-2009	8.1068986	3.5776846	57367.601238	36.647419	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5165	4.5435909	30306.3383941	15.727812	14.3985842	1982-1999 –> 2000-2009	8.1311579	3.5875669	57428.072423	37.356122	3	6
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + temp + phosphate	5165	4.5636390	30349.8179631	6.015661	13.9699953	1982-1999 –> 2000-2009	8.2279136	3.6642747	57682.256164	18.712839	4	9
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	5165	4.5664346	30356.1440726	2.404158	15.1140098	1982-1999 –> 2000-2009	8.2291178	3.6626832	57684.214508	6.451269	5	9
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + oxygen + phosphate_star	5165	4.5752780	30376.1300320	2.452916	15.4280595	1982-1999 –> 2000-2009	8.2607156	3.6854375	57766.467578	6.572449	6	13
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	5165	4.6414977	30524.5682540	67.507337	16.3741256	1982-1999 –> 2000-2009	8.3166054	3.6751077	57886.686148	110.605771	9	15
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + phosphate + phosphate_star	5165	4.6368692	30514.2619483	428.171137	16.4037982	1982-1999 –> 2000-2009	8.3332180	3.6963489	57934.321995	732.246564	8	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + phosphate + phosphate_star	5165	4.6597049	30565.0105151	5.128682	16.3768370	1982-1999 –> 2000-2009	8.3490014	3.6892965	57965.869850	11.973762	11	19
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	5165	4.6058210	30444.8603135	44.151631	15.9815516	1982-1999 –> 2000-2009	8.3585763	3.7527553	58017.185943	77.974345	7	20
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	4817	4.9867265	29161.7692708	46.150745	15.3904299	2000-2009 –> 2010-2019	9.5051311	4.5184046	59410.686432	124.875509	2	3
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + phosphate	4817	4.9792772	29147.3671059	47.323412	15.3350774	2000-2009 –> 2010-2019	9.5084913	4.5292141	59420.967429	128.317059	1	3
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4817	4.9989843	29185.4213848	13.937076	15.3566305	2000-2009 –> 2010-2019	9.5425752	4.5435909	59491.759779	29.664888	3	6
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + temp + phosphate	4817	4.9995634	29184.5373659	6.672330	15.5918918	2000-2009 –> 2010-2019	9.5632023	4.5636390	59534.355329	12.687991	4	8
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	4817	5.0783270	29335.1292924	2.667626	16.5799818	2000-2009 –> 2010-2019	9.6447616	4.5664346	59691.273365	5.071784	12	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	4817	5.0332095	29249.1551673	43.069231	16.4711746	2000-2009 –> 2010-2019	9.6747072	4.6414977	59773.723421	110.576568	8	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + oxygen + phosphate	4817	5.1129846	29400.6541795	22.985853	16.9895434	2000-2009 –> 2010-2019	9.6882626	4.5752780	59776.784212	53.884468	16	22
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + phosphate_star	4817	5.0287232	29240.5642094	5.422120	16.4503296	2000-2009 –> 2010-2019	9.6884281	4.6597049	59805.574725	10.949936	6	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + phosphate + phosphate_star	4817	5.0690351	29317.4856825	276.428908	16.5312227	2000-2009 –> 2010-2019	9.7059043	4.6368692	59831.747631	704.600045	11	19
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + temp + oxygen	4817	5.0117397	29207.9722035	6.437571	15.1039266	2000-2009 –> 2010-2019	9.7150092	4.7032695	59869.111482	12.304056	5	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	6886	3.4439251	36584.2398153	105.292815	15.4231202	1982-1999 –> 2000-2009	6.5236863	3.0797612	67976.440538	150.396263	1	2
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	6886	3.4464756	36592.4353547	53.375800	15.4100958	1982-1999 –> 2000-2009	6.5287381	3.0822625	67992.651070	84.474839	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6886	3.4609950	36652.3321908	8.267850	15.8482558	1982-1999 –> 2000-2009	6.5762398	3.1152448	68185.850211	20.422007	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6886	3.4633135	36661.5552075	8.895125	15.9095663	1982-1999 –> 2000-2009	6.5802318	3.1169183	68201.698300	21.397327	4	8
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + phosphate	6886	3.4921175	36773.6217520	33.338239	15.8595480	1982-1999 –> 2000-2009	6.6221465	3.1300290	68363.544873	57.569382	5	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	6886	3.4987000	36799.5569605	2.459201	15.9380016	1982-1999 –> 2000-2009	6.6316425	3.1329425	68400.957365	5.742729	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate_star	6886	3.6211551	37273.3354239	4.776587	17.3211443	1982-1999 –> 2000-2009	6.7704537	3.1492987	68938.970922	15.889371	7	14
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	6886	3.6334378	37317.9701282	1.745331	17.6645475	1982-1999 –> 2000-2009	6.7876723	3.1542345	69000.924335	4.574900	8	16
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + phosphate	6886	3.8438514	38095.2729540	710.410985	11.0615095	1982-1999 –> 2000-2009	7.0654492	3.2215978	70040.906756	1037.284394	14	23
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate	6886	3.9026705	38304.4175809	98.381166	11.0973036	1982-1999 –> 2000-2009	7.1752813	3.2726108	70443.858006	142.489154	18	28
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	6263	3.4944681	33457.9193048	56.118482	13.6219964	2000-2009 –> 2010-2019	6.9383932	3.4439251	70042.159120	161.411297	1	2
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	6263	3.4947452	33456.9127122	33.852834	13.6714258	2000-2009 –> 2010-2019	6.9412208	3.4464756	70049.348067	87.228634	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate	6263	3.5110042	33517.0536701	59.061409	13.8277205	2000-2009 –> 2010-2019	6.9719992	3.4609950	70169.385861	170.189684	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6263	3.5139901	33527.7016828	8.090623	13.8688648	2000-2009 –> 2010-2019	6.9773036	3.4633135	70189.256890	16.985748	4	8
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + phosphate_star	6263	3.5155062	33531.1047721	2.527178	13.6341344	2000-2009 –> 2010-2019	7.0076237	3.4921175	70304.726524	5.148414	5	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	6263	3.5202458	33547.9809901	2.373834	13.6442493	2000-2009 –> 2010-2019	7.0189458	3.4987000	70347.537951	4.833035	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate_star	6263	3.6077356	33855.4882817	5.370226	14.9611208	2000-2009 –> 2010-2019	7.2288907	3.6211551	71128.823706	10.146813	7	14
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	6263	3.6222616	33903.8210741	1.755885	15.6841941	2000-2009 –> 2010-2019	7.2556994	3.6334378	71221.791202	3.501215	9	17
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate	6263	3.6145870	33879.2536334	2.933024	13.7023329	2000-2009 –> 2010-2019	7.3137637	3.6991767	71446.169788	5.572042	8	17
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + oxygen	6263	3.6253841	33916.6138964	2.909372	13.9958657	2000-2009 –> 2010-2019	7.3289170	3.7035329	71499.738873	5.509805	10	20
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	7603	1.8939910	31300.2427187	447.941756	12.7023005	1982-1999 –> 2000-2009	3.9889159	2.0949249	61763.743118	770.926192	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	7603	1.9308298	31593.1647861	98.974922	13.4474775	1982-1999 –> 2000-2009	4.0874793	2.1566495	62466.335705	155.689038	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7603	1.9415595	31677.4309862	5.145653	13.7123358	1982-1999 –> 2000-2009	4.1238890	2.1823295	62717.598832	10.319208	3	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7603	1.9440158	31696.6567777	4.135852	13.7563126	1982-1999 –> 2000-2009	4.1312390	2.1872231	62768.424681	8.514557	4	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + phosphate_star	7603	2.0469690	32479.3517122	465.713653	11.0711324	1982-1999 –> 2000-2009	4.1419097	2.0949407	62940.959048	745.424836	5	7
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	7603	2.1318809	33097.3916603	95.483931	11.5497424	1982-1999 –> 2000-2009	4.2915039	2.1596230	63988.000938	149.193863	6	10
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	7603	2.1499153	33225.4839780	4.942654	11.7895231	1982-1999 –> 2000-2009	4.3360175	2.1861023	64288.020352	9.783590	7	13
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + phosphate_star	7603	2.1549746	33261.2259364	4.950311	11.8109801	1982-1999 –> 2000-2009	4.3463052	2.1913306	64357.462756	9.800822	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + aou	7603	2.1575587	33279.4490200	277.674518	14.6972728	1982-1999 –> 2000-2009	4.7662386	2.6086799	66835.209225	515.161154	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + aou	7603	2.1856747	33476.3246455	1.493668	15.3581773	1982-1999 –> 2000-2009	4.8286157	2.6429410	67216.166196	4.433048	10	21
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	7518	2.1552266	32893.2419027	397.830887	14.7713913	2000-2009 –> 2010-2019	4.0492176	1.8939910	64193.484621	845.772644	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	7518	2.2096592	33268.2762401	84.592232	13.0142310	2000-2009 –> 2010-2019	4.1404890	1.9308298	64861.441026	183.567154	3	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7518	2.2272254	33387.3360984	6.145773	13.3448818	2000-2009 –> 2010-2019	4.1687849	1.9415595	65064.767085	11.291426	4	7
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate	7518	2.2303528	33408.4343028	91.202735	13.3906645	2000-2009 –> 2010-2019	4.1743686	1.9440158	65105.091081	196.145247	5	9
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + phosphate	7518	2.1915556	33142.5802989	347.246865	15.1472555	2000-2009 –> 2010-2019	4.2385246	2.0469690	65621.932011	760.955971	2	7
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	7518	2.2694778	33667.9102301	83.653735	12.6921554	2000-2009 –> 2010-2019	4.4013587	2.1318809	66765.301891	179.137666	6	12
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	7518	2.2913482	33812.1144013	6.043343	12.0753465	2000-2009 –> 2010-2019	4.4412634	2.1499153	67037.598379	10.985997	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + phosphate	7518	2.2956389	33840.2438566	89.708243	12.0190385	2000-2009 –> 2010-2019	4.4506135	2.1549746	67101.469793	189.953173	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + aou	7518	2.4058921	34545.5761909	207.201787	13.1902553	2000-2009 –> 2010-2019	4.5634508	2.1575587	67825.025211	484.876305	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + aou	7518	2.4472736	34801.9976939	1.751081	13.6377672	2000-2009 –> 2010-2019	4.6329483	2.1856747	68278.322339	3.244749	11	21
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3643	1.1041416	11072.1967853	909.706152	5.6435245	1982-1999 –> 2000-2009	2.4082839	1.3041423	22272.540415	1762.025849	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	3643	1.1109465	11116.9631471	100.299483	5.6177117	1982-1999 –> 2000-2009	2.4161912	1.3052447	22322.918848	187.766017	2	4
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + phosphate_star	3643	1.1119499	11121.5407483	456.082636	5.5338113	1982-1999 –> 2000-2009	2.4199103	1.3079605	22339.301916	714.323289	3	7
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3643	1.1149814	11143.3775383	3.598364	5.5948840	1982-1999 –> 2000-2009	2.4223671	1.3073857	22360.219383	11.484981	4	7
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	3643	1.1153156	11143.5616397	100.016267	5.5341347	1982-1999 –> 2000-2009	2.4236029	1.3082872	22362.981887	186.964464	5	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + phosphate	3643	1.1159808	11149.9058628	100.711575	5.5917110	1982-1999 –> 2000-2009	2.4240336	1.3080527	22370.135307	190.425521	6	11
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	3643	1.1184588	11164.0659595	1.858414	5.5228772	1982-1999 –> 2000-2009	2.4285496	1.3100908	22392.636350	4.283506	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + phosphate	3643	1.1192709	11169.3543990	100.338255	5.5217621	1982-1999 –> 2000-2009	2.4299438	1.3106729	22400.875325	189.466932	8	16
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + oxygen	3643	1.7729089	14520.5073848	3.013852	12.3173300	1982-1999 –> 2000-2009	3.6739992	1.9010903	28222.101128	10.198052	9	19
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	3643	1.7753293	14530.4475717	2.955909	12.4509338	1982-1999 –> 2000-2009	3.6788110	1.9034817	28240.391097	9.983768	10	21
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3950	1.2858624	13207.9083819	859.630658	10.0401768	2000-2009 –> 2010-2019	2.3900040	1.1041416	24280.105167	1757.060636	1	2
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + phosphate_star	3950	1.2903058	13233.1605462	412.473439	9.7030474	2000-2009 –> 2010-2019	2.4022557	1.1119499	24354.701294	868.556075	2	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	3950	1.2925993	13249.1901392	138.251130	8.5563906	2000-2009 –> 2010-2019	2.4035458	1.1109465	24366.153286	238.550614	3	5
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	3950	1.2943645	13257.9711732	135.160066	8.4082371	2000-2009 –> 2010-2019	2.4096801	1.1153156	24401.532813	235.176333	4	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3950	1.2959074	13269.3821635	4.302753	8.0966377	2000-2009 –> 2010-2019	2.4108887	1.1149814	24412.759702	7.901117	5	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	3950	1.2966238	13273.7484555	4.391719	8.0012881	2000-2009 –> 2010-2019	2.4126046	1.1159808	24423.654318	8.047471	6	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	3950	1.2970953	13274.6206798	2.201871	7.9670343	2000-2009 –> 2010-2019	2.4155541	1.1184588	24438.686639	4.060285	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + phosphate + phosphate_star	3950	1.2977025	13278.3181004	2.130926	7.8784600	2000-2009 –> 2010-2019	2.4169734	1.1192709	24447.672499	4.021868	8	16
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + oxygen	3950	1.6749426	15294.2674699	3.909277	14.8341131	2000-2009 –> 2010-2019	3.4478514	1.7729089	29814.774855	6.923129	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	3950	1.6755546	15297.1536231	3.789398	15.0200606	2000-2009 –> 2010-2019	3.4508839	1.7753293	29827.601195	6.745307	10	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + phosphate	4823	0.9925158	13626.6170949	76.137096	10.3590208	1982-1999 –> 2000-2009	2.1919511	1.1994353	27203.706103	138.127677	3	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4823	0.9922522	13624.0549035	4.748678	10.4167175	1982-1999 –> 2000-2009	2.1928218	1.2005696	27209.154536	11.367104	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	4823	0.9921810	13623.3627134	76.711722	10.6864447	1982-1999 –> 2000-2009	2.1986206	1.2064396	27249.793643	138.534286	1	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	4823	0.9991353	13690.7368842	760.508071	11.3328311	1982-1999 –> 2000-2009	2.2219806	1.2228453	27431.624467	1465.453076	4	11
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + phosphate + phosphate_star	4823	1.0085501	13779.2046473	4.511839	10.5977557	1982-1999 –> 2000-2009	2.2237580	1.2152079	27465.001261	8.599979	8	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	4823	1.0076685	13770.7693550	3.771438	10.6509663	1982-1999 –> 2000-2009	2.2237909	1.2161224	27462.940414	7.103166	7	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	4823	1.0049535	13744.7448917	75.877091	10.8935210	1982-1999 –> 2000-2009	2.2260061	1.2210525	27471.199773	137.328975	5	11
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	4823	1.0070007	13764.3744675	625.699679	11.6463107	1982-1999 –> 2000-2009	2.2447307	1.2377300	27605.786091	1012.125560	6	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	4823	1.9375215	20077.0376758	63.224382	8.8959211	1982-1999 –> 2000-2009	3.7674400	1.8299186	37231.719300	114.602014	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate_star	4823	2.2326803	21444.7751024	2.244833	9.7446190	1982-1999 –> 2000-2009	4.4087526	2.1760724	40067.578081	4.377704	10	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	5595	0.8562404	14153.1878401	84.006808	4.7748655	2000-2009 –> 2010-2019	1.8484214	0.9921810	27776.550553	160.718531	3	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	5595	0.8506659	14080.0978339	784.726880	4.7475910	2000-2009 –> 2010-2019	1.8498012	0.9991353	27770.834718	1545.234951	1	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5595	0.8606757	14211.0023911	5.163171	4.7885219	2000-2009 –> 2010-2019	1.8529279	0.9922522	27835.057295	9.911849	5	7
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	5595	0.8618706	14226.5271081	5.460662	4.7923114	2000-2009 –> 2010-2019	1.8543864	0.9925158	27853.144203	10.473771	6	9
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + phosphate	5595	0.8508242	14080.1810659	540.571175	4.6930783	2000-2009 –> 2010-2019	1.8578249	1.0070007	27844.555533	1103.410337	2	8
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	5595	0.8578358	14172.0183476	83.838000	4.5999691	2000-2009 –> 2010-2019	1.8627893	1.0049535	27916.763239	159.715091	4	9
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	5595	0.8631208	14240.7475559	3.656036	4.5722473	2000-2009 –> 2010-2019	1.8707893	1.0076685	28011.516911	7.427475	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + phosphate	5595	0.8645530	14259.2991562	83.970675	4.5657939	2000-2009 –> 2010-2019	1.8731030	1.0085501	28038.503803	159.138037	8	16
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	5595	1.8558015	22806.8860620	68.179571	5.8791015	2000-2009 –> 2010-2019	3.7933230	1.9375215	42883.923738	131.403952	13	22
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + temp + oxygen	5595	1.8051724	22497.3639875	3.217345	9.0477399	2000-2009 –> 2010-2019	4.0545844	2.2494120	44014.156838	6.093667	9	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	8638	1.0816818	25882.0425133	15.457546	6.9521982	1982-1999 –> 2000-2009	2.3669014	1.2852196	52975.964288	27.033451	3	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	8638	1.0814273	25877.9775718	14.099161	6.9905894	1982-1999 –> 2000-2009	2.3693130	1.2878857	53005.507125	24.577275	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	8638	1.0810616	25872.1346512	127.637870	7.1439935	1982-1999 –> 2000-2009	2.3796730	1.2986114	53134.171008	215.460366	1	4
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	8638	1.1611885	27105.3775244	120.073076	6.9424916	1982-1999 –> 2000-2009	2.5713314	1.4101429	55701.704250	207.599216	4	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	8638	1.1717066	27261.1605631	13.049977	7.0516869	1982-1999 –> 2000-2009	2.5826373	1.4109307	55866.544818	21.491300	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	8638	1.1750795	27310.8197980	16.724111	7.0846427	1982-1999 –> 2000-2009	2.5866096	1.4115301	55923.092893	28.879797	6	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	8638	1.3307797	29460.4583984	75.909532	6.3770492	1982-1999 –> 2000-2009	2.8386195	1.5078398	59143.179754	133.216916	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	8638	1.4658184	31130.1616966	5.533881	6.4752446	1982-1999 –> 2000-2009	3.1699165	1.7040981	62797.284734	9.555990	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + phosphate + phosphate_star	8638	1.4953057	31474.2462000	5.799063	6.5462608	1982-1999 –> 2000-2009	3.2443044	1.7489988	63563.158569	10.393716	9	18
Indo-Pacific	(27.95,28.05]	2	cstar_tref ~ aou + phosphate	8638	1.6053123	32698.6296764	17.001316	7.5902960	1982-1999 –> 2000-2009	3.6366765	2.0313642	67212.794166	37.674456	10	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	9866	0.7241478	21641.7986030	125.275448	6.3595933	2000-2009 –> 2010-2019	1.8052094	1.0810616	47513.933254	252.913318	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	9866	0.7245051	21651.5340610	8.314010	6.2805722	2000-2009 –> 2010-2019	1.8059324	1.0814273	47529.511633	22.413170	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + phosphate	9866	0.7246986	21656.8016960	129.268275	6.2571882	2000-2009 –> 2010-2019	1.8063804	1.0816818	47538.844209	264.365676	3	6
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	9866	0.8479027	24752.9242802	118.869687	5.8853488	2000-2009 –> 2010-2019	2.0090912	1.1611885	51858.301805	238.942762	4	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	9866	0.8567587	24957.9482296	7.567317	5.8686626	2000-2009 –> 2010-2019	2.0284653	1.1717066	52219.108793	20.617294	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + phosphate	9866	0.8601667	25036.2818632	121.416201	5.8625485	2000-2009 –> 2010-2019	2.0352462	1.1750795	52347.101661	246.782916	6	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	9866	1.0317207	28624.6860490	83.385576	5.3183637	2000-2009 –> 2010-2019	2.3625004	1.3307797	58085.144447	159.295108	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	9866	1.1442824	30667.9281794	3.640014	5.9261048	2000-2009 –> 2010-2019	2.6101008	1.4658184	61798.089876	9.173894	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + phosphate	9866	1.1763290	31212.9439011	53.129388	6.1228360	2000-2009 –> 2010-2019	2.6716347	1.4953057	62687.190101	101.318400	9	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + temp + oxygen	9866	1.2403073	32257.9619941	4.192623	9.1069947	2000-2009 –> 2010-2019	2.9449239	1.7046166	65995.530196	10.414578	10	23
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate	5759	0.7084805	12385.8540513	132.516552	6.6014277	1982-1999 –> 2000-2009	1.5463847	0.8379042	26224.766605	251.785096	4	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5759	0.7078031	12374.8363756	22.389200	6.5679367	1982-1999 –> 2000-2009	1.5472203	0.8394171	26233.831316	40.425185	3	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	5759	0.7046325	12323.1247734	115.806104	6.3971283	1982-1999 –> 2000-2009	1.5515036	0.8468711	26280.534965	221.764711	1	4
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	5759	0.7061852	12346.4781848	91.988231	6.0873530	1982-1999 –> 2000-2009	1.5718139	0.8656287	26545.763328	159.367850	2	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	5759	0.7393066	12874.4075849	11.040247	7.6783740	1982-1999 –> 2000-2009	1.5862088	0.8469022	26830.225948	17.738269	5	9
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + phosphate	5759	0.7493823	13030.3212039	75.266068	7.8228285	1982-1999 –> 2000-2009	1.6023864	0.8530042	27066.058659	122.217449	6	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate_star	5759	0.9840898	16168.6069303	13.557461	8.1309478	1982-1999 –> 2000-2009	2.0809151	1.0968253	33003.049286	21.292002	7	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	5759	1.0353604	16753.5801814	106.416301	6.8045149	1982-1999 –> 2000-2009	2.2254767	1.1901162	34496.739384	209.742408	8	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	5759	1.0449285	16859.5318790	16.633555	6.9354802	1982-1999 –> 2000-2009	2.2359388	1.1910104	34611.051384	30.929859	9	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + phosphate_star	5759	1.0483232	16896.8911603	19.097783	6.9819868	1982-1999 –> 2000-2009	2.2397662	1.1914430	34652.453213	35.903630	10	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	8070	0.5127223	12131.8116832	79.229179	4.6080155	2000-2009 –> 2010-2019	1.2173548	0.7046325	24454.936457	195.035284	1	2
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	8070	0.5155579	12218.8268090	68.889291	4.5674823	2000-2009 –> 2010-2019	1.2217431	0.7061852	24565.304994	160.877522	3	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	8070	0.5155396	12220.2532166	11.756938	4.7600774	2000-2009 –> 2010-2019	1.2233427	0.7078031	24595.089592	34.146137	2	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate	8070	0.5162216	12241.5914985	87.609944	4.7927310	2000-2009 –> 2010-2019	1.2247021	0.7084805	24627.445550	220.126497	4	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	8070	0.5763227	14017.1156028	5.520813	4.4399164	2000-2009 –> 2010-2019	1.3156293	0.7393066	26891.523188	16.561061	5	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + phosphate_star	8070	0.5896284	14385.5060104	5.461414	4.3764760	2000-2009 –> 2010-2019	1.3390106	0.7493823	27415.827214	16.678425	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate_star	8070	0.8244468	19795.9596600	6.578770	4.9138116	2000-2009 –> 2010-2019	1.8085366	0.9840898	35964.566590	20.136231	10	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	8070	0.7963227	19235.7694751	76.155504	6.1792460	2000-2009 –> 2010-2019	1.8316831	1.0353604	35989.349657	182.571805	7	15
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	8070	0.8015905	19342.1881602	7.664401	6.2905937	2000-2009 –> 2010-2019	1.8465190	1.0449285	36201.720039	24.297955	8	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + phosphate_star	8070	0.8038296	19387.2096709	8.837386	6.3396369	2000-2009 –> 2010-2019	1.8521529	1.0483232	36284.100831	27.935170	9	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	8973	0.8224265	21967.8958857	41.025734	12.8078457	1982-1999 –> 2000-2009	1.4699358	0.6475093	41865.055945	81.680696	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + phosphate	8973	0.8272555	22072.9604598	222.744511	12.9236201	1982-1999 –> 2000-2009	1.4764943	0.6492388	42024.009006	451.781203	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	8973	0.8311987	22158.2996229	8.802159	13.0171038	1982-1999 –> 2000-2009	1.4824176	0.6512189	42170.868614	16.507541	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + phosphate	8973	0.8325599	22187.6641557	58.616052	13.0489236	1982-1999 –> 2000-2009	1.4846994	0.6521395	42228.769364	113.847672	4	8
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	8973	0.8495297	22547.7742616	6.977168	12.6462287	1982-1999 –> 2000-2009	1.5305159	0.6809861	43461.293002	12.582316	5	10
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate	8973	0.8649912	22871.4564205	37.187813	12.1542296	1982-1999 –> 2000-2009	1.5541147	0.6891235	44024.945692	72.388084	7	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + oxygen + phosphate	8973	0.8580501	22726.8672036	32.474729	12.5376535	1982-1999 –> 2000-2009	1.5585618	0.7005117	44211.479590	60.544759	6	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + phosphate_star	8973	0.9185641	23949.8740052	6.878049	11.6446345	1982-1999 –> 2000-2009	1.7956960	0.8771319	49976.830028	12.000538	8	16
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ sal + phosphate_star	8973	0.9515788	24581.5606505	6.272250	11.2692562	1982-1999 –> 2000-2009	1.9000308	0.9484521	52185.785393	9.884097	9	23
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ oxygen + aou + phosphate	8973	1.2721785	29794.4255674	221.600643	7.5532823	1982-1999 –> 2000-2009	2.1727564	0.9005779	56354.295680	448.755648	10	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	10751	0.7709871	24929.6976100	37.421927	7.2630184	2000-2009 –> 2010-2019	1.5934135	0.8224265	46897.593496	78.447661	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	10751	0.7770211	25097.3246276	184.758268	7.3619209	2000-2009 –> 2010-2019	1.6042766	0.8272555	47170.285087	434.681441	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	10751	0.7786103	25141.2574328	5.986039	7.3789095	2000-2009 –> 2010-2019	1.6098090	0.8311987	47299.557056	14.788198	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	10751	0.7798347	25175.0419987	7.923902	7.3982394	2000-2009 –> 2010-2019	1.6123946	0.8325599	47362.706154	19.269680	4	8
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	10751	0.7820727	25234.6630996	5.119853	7.2820388	2000-2009 –> 2010-2019	1.6316025	0.8495297	47782.437361	12.097022	5	10
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + oxygen + phosphate	10751	0.7883885	25407.6098093	31.175791	7.2153730	2000-2009 –> 2010-2019	1.6464386	0.8580501	48134.477013	63.650520	6	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate	10751	0.8463984	26934.2330775	35.683238	6.5150653	2000-2009 –> 2010-2019	1.7113896	0.8649912	49805.689498	72.871051	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + phosphate_star	10751	0.8542261	27132.1737253	4.923347	6.5395139	2000-2009 –> 2010-2019	1.7727902	0.9185641	51082.047731	11.801395	8	16
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ sal + phosphate_star	10751	0.9338942	29047.4494167	4.587921	6.1126034	2000-2009 –> 2010-2019	1.8854730	0.9515788	53629.010067	10.860171	9	18
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + phosphate	10751	1.1503271	33531.2931190	4.723313	4.2242481	2000-2009 –> 2010-2019	2.4345141	1.2841870	63494.322289	11.009152	10	23
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate	1590	0.7558178	3633.9676527	29.318054	5.7638741	1982-1999 –> 2000-2009	1.2033086	0.4474908	5984.816515	62.771844	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1590	0.7574162	3640.6856390	20.840762	5.8061754	1982-1999 –> 2000-2009	1.2051374	0.4477212	5993.492533	46.064411	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1590	0.7598661	3650.9549915	198.295053	5.8974277	1982-1999 –> 2000-2009	1.2076024	0.4477363	6003.889957	428.106461	4	7
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + oxygen + phosphate	1590	0.7637998	3665.3750373	21.326315	6.1485357	1982-1999 –> 2000-2009	1.2116184	0.4478186	6017.009101	33.743466	7	11
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1590	0.7645689	3670.5752709	22.389606	5.8366619	1982-1999 –> 2000-2009	1.2125179	0.4479491	6025.317224	53.246006	8	13
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + phosphate_star	1590	0.7782056	3724.7932053	12.640572	5.1922187	1982-1999 –> 2000-2009	1.2375596	0.4593540	6173.174323	19.265041	12	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + oxygen + phosphate	1590	0.7603772	3651.0931375	34.154112	5.0739061	1982-1999 –> 2000-2009	1.2449055	0.4845283	6302.435388	83.039952	5	13
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate	1590	0.7584216	3642.9040051	22.865783	5.0757127	1982-1999 –> 2000-2009	1.2457392	0.4873176	6316.082174	53.670837	3	14
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ oxygen + aou + phosphate_star	1590	0.7633444	3663.4781982	306.009077	5.1067381	1982-1999 –> 2000-2009	1.2481387	0.4847943	6316.908238	687.503051	6	15
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate_star	1590	0.7674174	3680.4009988	22.003137	5.1132649	1982-1999 –> 2000-2009	1.2504301	0.4830126	6319.824932	52.385114	9	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + phosphate	1726	0.5255330	2689.3582661	70.992099	5.9238938	2000-2009 –> 2010-2019	1.2829492	0.7574162	6330.043905	114.674259	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1726	0.5245290	2682.7573359	549.782328	5.9207657	2000-2009 –> 2010-2019	1.2843951	0.7598661	6333.712327	894.706875	1	5
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate	1726	0.5290928	2712.6624272	49.224259	5.9607286	2000-2009 –> 2010-2019	1.2849106	0.7558178	6346.630080	78.542313	4	5
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + oxygen + phosphate_star	1726	0.5258478	2689.4251184	31.594611	5.9037183	2000-2009 –> 2010-2019	1.2896476	0.7637998	6354.800156	45.080625	3	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1726	0.5356236	2755.0104715	36.101849	6.0789435	2000-2009 –> 2010-2019	1.3001924	0.7645689	6425.585742	58.491455	5	13
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + phosphate	1726	0.5490587	2838.5296349	45.796925	5.5293071	2000-2009 –> 2010-2019	1.3300577	0.7809990	6574.717119	69.734467	6	20
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + temp + phosphate	1726	0.5800267	3027.9364816	20.670521	5.1128643	2000-2009 –> 2010-2019	1.3514630	0.7714363	6724.947179	31.850379	7	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + phosphate_star	1726	0.5969484	3127.2042574	29.173125	5.4989219	2000-2009 –> 2010-2019	1.3751540	0.7782056	6851.997463	41.813698	8	20
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ sal + phosphate	1726	0.6193355	3252.2943932	2.112582	4.2390471	2000-2009 –> 2010-2019	1.4438084	0.8244729	7158.743935	3.692515	9	26
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate	1726	0.7551764	3938.8408215	30.099729	2.5939264	2000-2009 –> 2010-2019	1.5135980	0.7584216	7581.744827	52.965512	14	17
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	146	0.0058027	-1077.3058415	399.154300	0.0211422	1982-1999 –> 2000-2009	0.7492892	0.7434866	-519.754348	908.933594	1	2
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	146	0.0058174	-1076.5662638	210.625892	0.0210535	1982-1999 –> 2000-2009	0.7500818	0.7442644	-518.506549	573.996133	2	5
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	146	0.0059825	-1068.3930813	369.068136	0.0206678	1982-1999 –> 2000-2009	0.7502147	0.7442321	-510.354456	699.463153	3	5
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + phosphate + phosphate_star	146	0.0069993	-1024.5571962	125.757345	0.0221969	1982-1999 –> 2000-2009	0.8411789	0.8341796	-413.068040	200.443256	4	13
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + phosphate	146	0.0633037	-381.5350162	66.277618	0.3048000	1982-1999 –> 2000-2009	0.8432836	0.7799800	197.304405	195.257737	11	18
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + phosphate	146	0.0268671	-631.7909680	364.910586	0.0685255	1982-1999 –> 2000-2009	0.8683041	0.8414370	-16.091870	647.338714	9	19
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + oxygen + phosphate	146	0.0081337	-980.6964698	364.245391	0.0370228	1982-1999 –> 2000-2009	0.8848711	0.8767374	-345.024549	992.798858	6	22
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + phosphate	146	0.0078819	-989.8789141	249.897132	0.0344203	1982-1999 –> 2000-2009	0.8855959	0.8777140	-353.665950	669.577827	5	22
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	146	0.0094426	-937.1276917	300.719818	0.0490098	1982-1999 –> 2000-2009	0.8859816	0.8765390	-301.565758	607.154469	8	23
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate	146	0.0786932	-319.9919710	29.563398	0.4849840	1982-1999 –> 2000-2009	0.9209314	0.8422382	294.169664	32.966726	13	24
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ phosphate + phosphate_star	32	0.0100306	-195.7233291	632.543825	0.0292969	2000-2009 –> 2010-2019	0.0191747	0.0091441	-1144.228609	670.037103	2	3
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ temp + phosphate	32	0.0092723	-200.7540833	929.172950	0.0240067	2000-2009 –> 2010-2019	0.0852284	0.0759560	-531.083370	960.886215	1	3
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate	32	0.0527070	-89.5404034	147.854605	0.1674367	2000-2009 –> 2010-2019	0.1314002	0.0786932	-409.532374	177.418002	3	6
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + aou	32	0.0856904	-58.4368425	104.311268	0.2451038	2000-2009 –> 2010-2019	0.3457991	0.2601087	-29.330278	169.273587	4	8
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + oxygen	32	0.0895647	-55.6067151	103.885415	0.2542830	2000-2009 –> 2010-2019	0.3693490	0.2797842	-5.207763	178.818079	5	10
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + temp	32	0.1042955	-45.8616787	99.983874	0.2824184	2000-2009 –> 2010-2019	0.5426303	0.4383348	135.634898	155.210831	6	12
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate_star	32	0.1050383	-45.4074442	83.704047	0.2782765	2000-2009 –> 2010-2019	0.5435341	0.4384958	136.196332	182.155532	7	14

5.4.2 per fitting unit

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

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2009	13.9738085	4360.7092
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	14.0622415	3844.1163
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	12.2561650	14668.7209
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	12.5974623	13509.5809
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	8.2182875	13412.7768
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	8.6048833	11788.5111
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	7.3785816	20122.2463
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	7.4875231	16615.2253
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	7.0249218	26688.4014
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	8.0133799	21089.0539
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	6.1858443	33915.4097
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.2331253	29038.8237
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	6.8778052	49025.6179
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	8.2387996	41926.9334
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	8.0041408	32157.8448
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	9.9094776	29437.7957
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	9.5373374	104852.2904
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	11.5632768	88863.0980
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.0471771	81172.1300
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	8.2515754	62002.1161
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	4.2589056	28468.4728
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	4.8451636	24489.3897
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.8722279	24662.8021
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	3.0431995	20631.6575
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.1300355	6726.9109
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.3234887	6718.3463
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	0.8125437	5123.7974
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	0.8249487	5345.6952
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	25.4418170	58684.9016
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	25.3599970	77933.5349
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	20.6542387	52794.4036
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	23.8659853	52320.9989
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	17.4368847	45880.3476
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	20.1390452	43786.1814
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	11.9097214	50946.8723
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	13.5328668	52436.2833
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.2397573	57704.2603
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	9.6236473	59660.5984
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.7261542	68754.5802
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.0982757	70639.8938
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	4.3042114	63934.1921
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	4.3261019	66185.4433
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	2.6725693	23528.4102
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	2.6160242	25476.7642
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.5899853	29639.8504
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	2.2717951	30994.5007
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.7745983	57932.3402
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	2.2079485	54757.2756
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	1.8187614	29594.4474
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	1.4880674	29698.9864
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	1.6425223	45850.3332
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	1.7502102	50265.8126
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.2266958	6145.2950
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.3456176	6668.2923
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	0.8379732	-248.6557
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	0.2910165	-263.9359

5.5 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.6 Plot selected model residuals

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

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

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

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

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

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

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

5.7 Cant coeffcients

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

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

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

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

5.8 Write files

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

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

lm_best %>%
  write_csv(paste(path_version_data,
                  "lm_best.csv",
                  sep = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

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

6.1.1 All models

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

6.1.2 Best models

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

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Past versions of rmse_correlation_across_eras_all_models-1.png

Version	Author	Date
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
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2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

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

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

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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	oxygen	phosphate	phosphate_star	sal	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	6	4	5	7	6	5
(26,26.5]	7	2	6	6	6	6
(26.5,26.75]	7	3	6	5	6	6
(26.75,27]	6	1	4	7	8	6
(27,27.25]	7	3	8	4	7	5
(27.25,27.5]	7	2	6	6	7	6
(27.5,27.75]	7	3	6	5	7	6
(27.75,27.85]	10	3	3	4	5	6
(27.85,27.95]	8	5	3	4	7	7
(27.95,28.05]	8	5	4	3	7	7
(28.05,28.1]	7	4	4	6	7	6
(28.1,28.15]	7	4	4	6	7	6
(28.15,28.2]	7	3	6	6	6	6
(28.2, Inf]	7	2	6	6	6	7
total	101.00	44.00	71.00	75.00	92.00	85.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	5	4	6	6	6
(26,26.5]	7	1	7	6	6	6
(26.5,26.75]	7	2	6	6	6	6
(26.75,27]	6	1	5	7	8	5
(27,27.25]	7	4	5	6	7	5
(27.25,27.5]	7	3	5	6	7	6
(27.5,27.75]	8	2	6	6	6	6
(27.75,27.85]	9	4	4	4	6	6
(27.85,27.95]	7	1	6	6	6	8
(27.95,28.05]	7	5	7	2	6	7
(28.05,28.1]	7	2	5	7	7	6
(28.1,28.15]	7	4	8	3	7	5
(28.15,28.2]	7	1	8	6	6	6
(28.2, Inf]	7	2	5	7	6	7
total	100.00	37.00	81.00	78.00	90.00	85.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	3	5	5	6	7
(26,26.5]	8	3	6	5	5	6
(26.5,26.75]	5	2	6	4	10	5
(26.75,27]	7	4	5	3	10	5
(27,27.25]	6	1	7	6	7	6
(27.25,27.5]	6	2	6	5	8	5
(27.5,27.75]	8	3	4	6	6	7
(27.75,27.85]	7	5	4	4	6	8
(27.85,27.95]	8	2	6	6	6	6
(27.95,28.05]	7	1	6	6	6	6
(28.05,28.1]	6	3	5	5	7	7
(28.1,28.2]	6	4	6	4	9	4
(28.2,28.3]	7	3	6	6	6	6
(28.3, Inf]	5	1	8	4	7	7
total	94.00	37.00	80.00	69.00	99.00	85.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	7	4	3	7	6	7
(26,26.5]	8	2	6	6	5	6
(26.5,26.75]	5	5	4	2	10	6
(26.75,27]	7	3	4	6	7	7
(27,27.25]	5	4	6	4	7	7
(27.25,27.5]	4	3	4	5	10	6
(27.5,27.75]	8	4	6	3	6	7
(27.75,27.85]	7	3	4	6	6	8
(27.85,27.95]	7	5	5	4	6	7
(27.95,28.05]	6	4	6	3	7	7
(28.05,28.1]	6	3	4	6	7	7
(28.1,28.2]	5	3	4	6	10	5
(28.2,28.3]	6	3	6	4	9	5
(28.3, Inf]	1	1	3	2	5	2
total	82.00	47.00	65.00	64.00	101.00	87.00

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
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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] car_3.0-10       carData_3.0-4    gt_0.2.2         corrr_0.4.3     
 [5] broom_0.7.5      kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3     
 [9] GGally_2.0.0     lubridate_1.7.9  ggforce_0.3.3    metR_0.9.0      
[13] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[17] stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4      readr_1.4.0     
[21] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0 
[25] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.10             readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.1.0           jsonlite_1.7.2          
[40] zip_2.1.1                magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_1.0.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               MASS_7.3-53             
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              tweenr_1.0.2            
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] polyclip_1.10-0          reshape_0.8.8            assertthat_0.2.1        
[76] openxlsx_4.2.3           xfun_0.20                RcppEigen_0.3.3.9.1     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_1.0.1