eMLR - model fitting

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Last updated: 2021-07-30

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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File paths: relative

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Repository version: fcd952c

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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	4f897c4	Donghe-Zhu	2021-07-30	Build site.
html	0f6e960	Donghe-Zhu	2021-07-30	Build site.
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html	400c457	Donghe-Zhu	2021-07-29	Build site.
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html	ec68363	Donghe-Zhu	2021-07-28	Build site.
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html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
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html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
html	9950e70	Donghe-Zhu	2021-07-21	Build site.
html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
html	d84a1cb	Donghe-Zhu	2021-07-20	Build site.
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html	4dce223	Donghe-Zhu	2021-07-20	Build site.
html	6f28c0c	Donghe-Zhu	2021-07-20	Build site.
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html	26a7c15	Donghe-Zhu	2021-07-16	Build site.
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html	cb1c8dc	Donghe-Zhu	2021-07-04	Build site.
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.
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html	d517836	Donghe-Zhu	2021-06-24	0
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html	bff5fbf	Donghe-Zhu	2021-06-23	Build site.
html	256a616	Donghe-Zhu	2021-06-23	Build site.
html	00072e2	Donghe-Zhu	2021-06-23	Build site.
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html	61cae2b	Donghe-Zhu	2021-06-20	1
html	d20c383	Donghe-Zhu	2021-06-18	Build site.
html	b0874a2	Donghe-Zhu	2021-06-17	Build site.
html	72c2f2e	Donghe-Zhu	2021-06-15	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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html	e377833	Donghe-Zhu	2021-05-26	Build site.
Rmd	896faa0	Donghe-Zhu	2021-05-18	final
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html	cd5f759	Donghe-Zhu	2021-03-28	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, nitrate, silicate

# 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:

• 56

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]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	477	9.9139077	3556.085	55.629933	29.106179	1982-1999 –> 2000-2009	20.051877	10.1379689	9016.045	97.767807	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	477	9.9322892	3555.852	43.199032	29.177724	1982-1999 –> 2000-2009	20.156598	10.2243090	9026.176	79.782798	3	7
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	477	10.0145836	3565.724	42.572728	29.495380	1982-1999 –> 2000-2009	20.188993	10.1744097	9030.915	67.754892	5	7
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	477	10.0636123	3570.383	40.669761	28.938254	1982-1999 –> 2000-2009	20.256003	10.1923905	9038.148	65.357343	7	10
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	477	9.9146299	3554.154	24.816840	28.719899	1982-1999 –> 2000-2009	20.374535	10.4599050	9057.694	46.557188	2	11
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	477	10.1098179	3572.753	42.539815	29.697517	1982-1999 –> 2000-2009	20.477343	10.3675256	9063.359	66.562006	9	15
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	477	10.0148059	3563.745	4.471538	29.713317	1982-1999 –> 2000-2009	20.527825	10.5130189	9074.669	9.379736	6	16
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + silicate	477	9.9332091	3553.940	11.811842	28.741616	1982-1999 –> 2000-2009	20.540352	10.6071433	9075.860	23.814335	4	16
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	477	10.1822467	3579.563	40.181354	28.534575	1982-1999 –> 2000-2009	20.584115	10.4018683	9074.990	62.733349	11	18
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	477	10.0684309	3568.840	4.625542	29.972544	1982-1999 –> 2000-2009	20.632832	10.5644007	9086.872	9.519183	8	19
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	589	8.1420298	4155.822	40.068795	23.607118	2000-2009 –> 2010-2019	18.055937	9.9139077	7711.907	95.698728	4	5
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	589	8.1783966	4159.072	17.562986	31.593500	2000-2009 –> 2010-2019	18.093027	9.9146299	7713.226	42.379825	7	9
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	589	8.1224179	4152.981	31.676403	23.851619	2000-2009 –> 2010-2019	18.137002	10.0145836	7718.705	74.249131	2	7
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	589	8.1575001	4156.058	5.816138	31.295936	2000-2009 –> 2010-2019	18.172306	10.0148059	7719.803	10.287676	6	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	589	8.1167146	4152.154	30.673337	24.198476	2000-2009 –> 2010-2019	18.180327	10.0636123	7722.537	71.343099	1	8
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	589	8.1480988	4154.700	6.377741	31.361985	2000-2009 –> 2010-2019	18.216530	10.0684309	7723.539	11.003283	5	13
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	589	8.1395216	4153.459	11.574457	23.101516	2000-2009 –> 2010-2019	18.484487	10.3449652	7748.147	19.807885	3	16
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	589	8.7946570	4244.652	34.808197	24.261532	2000-2009 –> 2010-2019	18.726946	9.9322892	7800.504	78.007229	15	18
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + silicate	589	8.8512352	4250.206	10.683727	23.872392	2000-2009 –> 2010-2019	18.784444	9.9332091	7804.146	22.495569	16	20
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	589	8.9416719	4264.181	30.982375	24.912928	2000-2009 –> 2010-2019	19.051490	10.1098179	7836.934	73.522190	20	29
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	493	6.7001187	3288.569	564.196149	23.325516	1982-1999 –> 2000-2009	16.338140	9.6380209	8873.766	1093.699429	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	493	6.7609382	3297.479	89.843885	23.740245	1982-1999 –> 2000-2009	16.407345	9.6464069	8883.991	120.616783	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	493	6.8169047	3305.607	88.398369	24.051347	1982-1999 –> 2000-2009	16.480663	9.6637586	8894.837	118.948513	3	7
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	493	7.1032813	3344.182	542.474956	29.208378	1982-1999 –> 2000-2009	16.804792	9.7015103	8937.307	1049.647895	5	10
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	493	7.1574007	3351.666	81.139288	23.083115	1982-1999 –> 2000-2009	16.810416	9.6530158	8937.214	108.692931	6	9
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	493	7.0135447	3331.647	238.697054	24.566036	1982-1999 –> 2000-2009	16.844905	9.8313604	8944.875	381.122852	4	15
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	493	7.1676301	3353.074	38.809426	29.709490	1982-1999 –> 2000-2009	16.873305	9.7056752	8946.848	65.527577	7	13
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	493	7.2357523	3362.401	38.086132	30.233228	1982-1999 –> 2000-2009	16.957133	9.7213811	8958.620	64.521499	9	17
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	493	7.2351016	3362.313	89.672063	25.673867	1982-1999 –> 2000-2009	17.155101	9.9199997	8989.112	120.051937	8	26
Atlantic	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	493	7.3411270	3376.657	87.970037	25.847036	1982-1999 –> 2000-2009	17.300477	9.9593500	9009.442	118.254177	10	29
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	668	7.4627998	4594.969	442.076720	34.937617	2000-2009 –> 2010-2019	14.162918	6.7001187	7883.538	1006.272869	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	668	7.4663537	4595.605	23.313049	35.483694	2000-2009 –> 2010-2019	14.227292	6.7609382	7893.084	113.156933	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	668	7.4763625	4597.395	23.317759	35.747432	2000-2009 –> 2010-2019	14.293267	6.8169047	7903.002	111.716128	4	7
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	668	7.5384871	4606.451	132.519816	35.688692	2000-2009 –> 2010-2019	14.552032	7.0135447	7938.097	371.216870	7	11
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	668	7.4747835	4595.113	427.373167	35.113152	2000-2009 –> 2010-2019	14.578065	7.1032813	7939.295	969.848124	3	8
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	668	7.4796087	4595.975	20.711528	35.676322	2000-2009 –> 2010-2019	14.647239	7.1676301	7949.049	59.520954	5	12
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	668	7.4907561	4597.965	22.632251	35.948991	2000-2009 –> 2010-2019	14.726508	7.2357523	7960.366	60.718382	6	15
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	668	7.5681178	4611.692	22.461324	36.556461	2000-2009 –> 2010-2019	14.803219	7.2351016	7974.004	112.133387	9	17
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	668	7.7400838	4641.709	18.845780	31.662646	2000-2009 –> 2010-2019	14.897484	7.1574007	7993.375	99.985068	13	19
Atlantic	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	668	7.5928115	4616.044	22.396494	36.824753	2000-2009 –> 2010-2019	14.933939	7.3411270	7992.701	110.366531	11	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	462	5.6891451	2931.529	73.655286	37.007746	1982-1999 –> 2000-2009	11.672861	5.9837155	7905.066	98.278417	1	4
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	462	5.7118588	2935.210	73.629692	37.018832	1982-1999 –> 2000-2009	11.691560	5.9797010	7907.710	99.336251	2	3
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	462	5.8916769	2961.851	64.564116	34.183428	1982-1999 –> 2000-2009	11.876174	5.9844967	7933.590	87.870649	4	8
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	462	5.9316486	2968.098	64.911701	34.040900	1982-1999 –> 2000-2009	11.911691	5.9800424	7938.687	88.280405	5	7
Atlantic	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	462	5.8824908	2960.409	490.243936	35.461133	1982-1999 –> 2000-2009	12.068595	6.1861042	7983.372	964.402988	3	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	462	5.9543239	2971.624	66.535142	35.287223	1982-1999 –> 2000-2009	12.179303	6.2249790	8004.272	89.958527	6	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	462	6.0656769	2988.744	73.551930	36.399794	1982-1999 –> 2000-2009	12.192166	6.1264889	7996.737	96.859358	9	14
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	462	6.0453632	2983.645	453.473938	32.950181	1982-1999 –> 2000-2009	12.236224	6.1908604	8005.796	673.982650	8	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	462	5.9997057	2978.640	66.114520	35.182099	1982-1999 –> 2000-2009	12.253597	6.2538916	8018.452	87.318150	7	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	462	6.1827358	3004.406	64.530286	34.218752	1982-1999 –> 2000-2009	12.324193	6.1414574	8014.171	82.770736	11	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	460	6.8293921	3086.960	26.170679	32.065754	2000-2009 –> 2010-2019	12.518537	5.6891451	6018.489	99.825964	1	2
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	460	6.8437950	3088.898	28.499646	32.469929	2000-2009 –> 2010-2019	12.555654	5.7118588	6024.109	102.129338	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	460	6.8448549	3087.041	23.488978	33.077449	2000-2009 –> 2010-2019	12.736532	5.8916769	6048.892	88.053094	3	7
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	460	6.8570840	3088.683	24.977536	33.417781	2000-2009 –> 2010-2019	12.788733	5.9316486	6056.782	89.889237	4	9
Atlantic	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	460	6.9648633	3103.031	255.613271	32.136674	2000-2009 –> 2010-2019	12.847354	5.8824908	6063.440	745.857207	6	9
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	460	6.9958667	3107.117	19.077989	33.007866	2000-2009 –> 2010-2019	12.950190	5.9543239	6078.741	85.613131	8	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	460	6.9432329	3100.170	17.978763	29.784289	2000-2009 –> 2010-2019	13.008910	6.0656769	6088.914	91.530693	5	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	460	7.0207330	3110.382	19.597299	33.418862	2000-2009 –> 2010-2019	13.020439	5.9997057	6089.021	85.711819	11	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	460	6.9781872	3102.789	169.783027	33.018316	2000-2009 –> 2010-2019	13.023550	6.0453632	6086.434	623.256964	7	15
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	460	7.0050498	3106.324	18.625488	33.783553	2000-2009 –> 2010-2019	13.148793	6.1437428	6104.885	75.905051	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1125	4.5182324	6599.884	85.174363	23.981257	1982-1999 –> 2000-2009	9.534950	5.0167171	14635.800	112.384817	1	2
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	1125	4.5737530	6623.363	671.303772	21.354827	1982-1999 –> 2000-2009	9.597059	5.0233063	14658.753	949.881223	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1125	4.5753722	6628.160	86.103476	23.981781	1982-1999 –> 2000-2009	9.635266	5.0598941	14686.751	113.381598	3	7
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	1125	4.6186450	6647.340	76.315146	23.101985	1982-1999 –> 2000-2009	9.669639	5.0509936	14699.273	100.101381	4	7
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	1125	4.6307580	6653.233	84.013081	21.165333	1982-1999 –> 2000-2009	9.703820	5.0730619	14716.702	109.514965	5	10
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	1125	4.6828876	6676.420	76.259284	21.074912	1982-1999 –> 2000-2009	9.772623	5.0897349	14746.571	97.666391	6	12
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1125	4.6982840	6685.806	76.509523	22.973661	1982-1999 –> 2000-2009	9.803562	5.1052779	14766.024	98.413561	8	15
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1125	4.6965285	6684.965	84.771329	21.031056	1982-1999 –> 2000-2009	9.814198	5.1176691	14771.598	110.286894	7	15
Atlantic	(26.75,27]	3	cstar_tref ~ temp + oxygen + nitrate	1125	4.7629694	6714.572	76.441178	20.921981	1982-1999 –> 2000-2009	9.905078	5.1421087	14811.811	97.897325	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	1125	5.1040405	6872.185	84.434708	21.562862	1982-1999 –> 2000-2009	10.850434	5.7463939	15265.419	107.810104	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	823	5.0900140	5028.077	21.331087	24.079567	2000-2009 –> 2010-2019	9.608246	4.5182324	11627.960	106.505451	2	3
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	823	5.0830844	5021.834	201.256484	23.040057	2000-2009 –> 2010-2019	9.656837	4.5737530	11645.198	872.560256	1	3
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	823	5.1401926	5044.224	22.729288	24.460527	2000-2009 –> 2010-2019	9.715565	4.5753722	11672.384	108.832764	4	7
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	823	5.1165910	5034.649	20.572087	22.711042	2000-2009 –> 2010-2019	9.747349	4.6307580	11687.882	104.585168	3	8
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	823	5.1543781	5046.760	18.555724	24.510447	2000-2009 –> 2010-2019	9.773023	4.6186450	11694.100	94.870870	5	9
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	823	5.1685655	5049.285	18.377927	23.451983	2000-2009 –> 2010-2019	9.851453	4.6828876	11725.705	94.637210	6	12
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	823	5.1739422	5052.996	20.593035	22.899602	2000-2009 –> 2010-2019	9.870471	4.6965285	11737.961	105.364364	7	14
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	823	5.2163234	5066.424	18.500614	24.916565	2000-2009 –> 2010-2019	9.914607	4.6982840	11752.230	95.010136	8	16
Atlantic	(26.75,27]	3	cstar_tref ~ temp + oxygen + nitrate	823	5.2345578	5070.168	18.407680	23.701009	2000-2009 –> 2010-2019	9.997527	4.7629694	11784.740	94.848858	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	823	5.6656570	5202.433	18.874399	18.815511	2000-2009 –> 2010-2019	10.769697	5.1040405	12074.618	103.309107	10	20
Atlantic	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1782	4.0085146	10017.428	516.740845	17.589971	1982-1999 –> 2000-2009	7.548221	3.5397064	23589.221	974.768210	1	2
Atlantic	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	1782	4.0945250	10091.092	198.291246	15.716377	1982-1999 –> 2000-2009	7.634334	3.5398094	23661.032	316.940359	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1782	4.1899394	10177.191	38.067608	17.104882	1982-1999 –> 2000-2009	7.866471	3.6765318	23942.662	77.089673	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1782	4.3680856	10323.591	34.553517	15.243675	1982-1999 –> 2000-2009	8.060022	3.6919364	24108.194	68.009870	5	9
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1782	4.3487658	10307.792	24.201598	17.736450	1982-1999 –> 2000-2009	8.116622	3.7678565	24195.270	45.568237	4	9
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1782	4.4286392	10370.658	21.378220	15.782856	1982-1999 –> 2000-2009	8.196597	3.7679572	24256.271	28.876729	7	13
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1782	4.4035347	10354.398	38.688302	17.131015	1982-1999 –> 2000-2009	8.245280	3.8417452	24342.027	77.786282	6	13
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1782	4.5982268	10506.587	37.862395	16.170878	1982-1999 –> 2000-2009	8.459931	3.8617047	24518.406	71.294858	9	17
Atlantic	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1782	4.5935787	10502.983	21.972753	17.878285	1982-1999 –> 2000-2009	8.542816	3.9492373	24628.081	43.413595	8	17
Atlantic	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	1782	4.6747039	10563.376	21.413420	16.790924	1982-1999 –> 2000-2009	8.624225	3.9495208	24686.837	28.922746	10	20
Atlantic	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1660	4.3105027	9573.577	275.226925	16.754900	2000-2009 –> 2010-2019	8.319017	4.0085146	19591.005	791.967771	2	3
Atlantic	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	1660	4.3246183	9582.431	113.421734	15.999381	2000-2009 –> 2010-2019	8.419143	4.0945250	19673.523	311.712980	3	5
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1660	4.2828340	9554.198	29.771301	14.998326	2000-2009 –> 2010-2019	8.472773	4.1899394	19731.388	67.838909	1	4
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1660	4.3803636	9626.953	25.844939	14.809929	2000-2009 –> 2010-2019	8.748449	4.3680856	19950.544	60.398456	4	9
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1660	4.4263271	9663.609	29.801872	15.208360	2000-2009 –> 2010-2019	8.829862	4.4035347	20018.006	68.490174	5	11
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1660	4.4848854	9705.243	11.417018	15.366581	2000-2009 –> 2010-2019	8.833651	4.3487658	20013.035	35.618616	6	10
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1660	4.5092135	9721.203	9.309468	14.930588	2000-2009 –> 2010-2019	8.937853	4.4286392	20091.862	30.687688	7	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1660	4.5416741	9747.018	26.035314	15.569411	2000-2009 –> 2010-2019	9.139901	4.5982268	20253.605	63.897708	8	17
Atlantic	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1660	4.6334464	9813.435	10.913050	15.613827	2000-2009 –> 2010-2019	9.227025	4.5935787	20316.418	32.885804	9	17
Atlantic	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	1660	4.6667050	9835.181	9.340096	15.788286	2000-2009 –> 2010-2019	9.341409	4.6747039	20398.557	30.753516	10	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3394	4.7422509	20211.358	459.979288	19.085540	1982-1999 –> 2000-2009	8.480025	3.7377735	49444.671	1300.755362	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3394	4.7684235	20248.718	36.503053	19.588106	1982-1999 –> 2000-2009	8.526283	3.7578597	49539.238	72.855540	2	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3394	4.8107760	20306.742	389.344850	18.975219	1982-1999 –> 2000-2009	8.644371	3.8335947	49808.244	1000.608900	3	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3394	4.8582568	20373.408	30.625436	18.161227	1982-1999 –> 2000-2009	8.719763	3.8615059	49952.343	59.463205	4	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3394	4.9067256	20442.794	45.782773	20.959249	1982-1999 –> 2000-2009	8.759788	3.8530624	50000.364	85.957860	5	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3394	5.0275484	20605.916	35.839436	17.111183	1982-1999 –> 2000-2009	8.990140	3.9625916	50460.678	64.678184	6	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	3394	5.1600842	20782.543	19.005044	19.701611	1982-1999 –> 2000-2009	9.418601	4.2585171	51406.076	31.875992	7	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	3394	5.1623043	20783.463	19.002053	19.661302	1982-1999 –> 2000-2009	9.422882	4.2605773	51410.158	24.006655	8	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3394	5.5014136	21217.329	20.700980	19.213450	1982-1999 –> 2000-2009	9.968247	4.4668336	52350.639	37.819377	9	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3394	5.5152396	21234.367	24.594403	16.846220	1982-1999 –> 2000-2009	10.057541	4.5423015	52546.510	41.763717	10	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3827	4.7747634	22840.394	470.044075	18.940446	2000-2009 –> 2010-2019	9.517014	4.7422509	43051.751	930.023363	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3827	4.8515107	22962.442	23.292154	18.282029	2000-2009 –> 2010-2019	9.619934	4.7684235	43211.160	59.795207	2	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3827	5.1119509	23360.677	431.962555	19.077258	2000-2009 –> 2010-2019	9.922727	4.8107760	43667.419	821.307405	4	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3827	5.0424262	23257.865	26.017027	19.017909	2000-2009 –> 2010-2019	9.949152	4.9067256	43700.659	71.799800	3	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3827	5.2039193	23497.155	20.910240	18.800756	2000-2009 –> 2010-2019	10.062176	4.8582568	43870.564	51.535676	5	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	3827	5.2066414	23501.158	9.671429	20.289827	2000-2009 –> 2010-2019	10.366726	5.1600842	44283.701	28.676472	6	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3827	5.4608756	23866.056	21.533993	17.620694	2000-2009 –> 2010-2019	10.488424	5.0275484	44471.972	57.373429	8	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	3827	5.3636225	23726.517	8.350558	20.141939	2000-2009 –> 2010-2019	10.525927	5.1623043	44509.980	27.352611	7	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3827	5.8752991	24425.929	10.415484	22.248054	2000-2009 –> 2010-2019	11.376713	5.5014136	45643.259	31.116464	9	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3827	5.9103724	24471.485	12.135677	18.181010	2000-2009 –> 2010-2019	11.425612	5.5152396	45705.852	36.730079	10	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6000	7.4706935	41173.116	26.971395	19.248129	1982-1999 –> 2000-2009	13.512216	6.0415223	91754.832	49.384792	1	2
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6000	7.5496402	41299.261	22.878398	19.961067	1982-1999 –> 2000-2009	13.637756	6.0881159	92001.718	43.180491	2	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6000	7.6252279	41418.809	194.711805	20.970061	1982-1999 –> 2000-2009	13.805547	6.1803190	92357.496	720.044858	4	7
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6000	7.6070519	41388.171	22.143792	23.985956	1982-1999 –> 2000-2009	13.820043	6.2129908	92407.721	41.866253	3	7
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	6000	7.7140551	41555.790	22.366645	24.193484	1982-1999 –> 2000-2009	14.011226	6.2971705	92786.846	42.077651	5	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6000	7.7602388	41627.420	149.231939	24.097587	1982-1999 –> 2000-2009	14.129922	6.3696834	93038.414	535.892436	7	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	6000	7.7266546	41575.374	12.411289	21.960041	1982-1999 –> 2000-2009	14.196290	6.4696350	93231.065	25.033033	6	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	6000	7.7917074	41673.983	11.928815	23.852437	1982-1999 –> 2000-2009	14.305985	6.5142779	93435.748	14.582996	8	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6000	8.0014052	41994.668	11.575531	31.231333	1982-1999 –> 2000-2009	14.654460	6.6530553	94089.724	26.680099	9	18
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + nitrate	6000	8.1400544	42198.825	10.465191	27.557160	1982-1999 –> 2000-2009	14.915814	6.7757601	94579.096	12.905106	10	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5322	7.2740349	36238.190	18.195803	18.931186	2000-2009 –> 2010-2019	14.823675	7.5496402	77537.451	41.074201	2	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5322	7.4056397	36429.044	20.162426	20.098755	2000-2009 –> 2010-2019	14.876333	7.4706935	77602.160	47.133821	3	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5322	7.2529490	36207.290	268.723770	18.448257	2000-2009 –> 2010-2019	14.878177	7.6252279	77626.099	463.435575	1	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	5322	7.5313893	36606.264	6.629482	18.769777	2000-2009 –> 2010-2019	15.258044	7.7266546	78181.638	19.040772	4	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	5322	7.6054584	36710.434	17.578712	20.093858	2000-2009 –> 2010-2019	15.319514	7.7140551	78266.224	39.945357	6	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5322	7.7330528	36887.523	17.592263	20.625720	2000-2009 –> 2010-2019	15.340105	7.6070519	78275.694	39.736056	8	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5322	7.5847916	36681.471	223.787674	19.918016	2000-2009 –> 2010-2019	15.345030	7.7602388	78308.890	373.019613	5	12
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	5322	7.7032935	36844.483	3.176054	19.842218	2000-2009 –> 2010-2019	15.495001	7.7917074	78518.465	15.104869	7	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5322	7.9016452	37117.085	7.642276	22.900817	2000-2009 –> 2010-2019	15.903050	8.0014052	79111.754	19.217808	10	19
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	5322	7.8604498	37061.448	7.626114	21.938197	2000-2009 –> 2010-2019	16.118720	8.2582706	79435.292	18.694822	9	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2856	6.5400401	18845.789	147.624775	17.772219	1982-1999 –> 2000-2009	11.542551	5.0025110	36711.999	508.937577	1	3
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2856	6.5524841	18856.647	26.996126	17.881686	1982-1999 –> 2000-2009	11.553052	5.0005676	36720.567	57.973945	2	3
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2856	6.5827886	18881.004	13.637363	21.214074	1982-1999 –> 2000-2009	11.644507	5.0617182	36814.562	27.105188	3	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2856	6.6373999	18930.195	31.733582	18.405374	1982-1999 –> 2000-2009	11.674523	5.0371227	36837.045	62.599662	4	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2856	6.8663177	19121.876	26.375742	22.384706	1982-1999 –> 2000-2009	11.887943	5.0216253	37008.564	57.352609	6	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2856	6.8663163	19121.875	124.350545	22.387411	1982-1999 –> 2000-2009	11.893193	5.0268765	37014.723	466.209436	5	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2856	6.8920110	19143.210	28.008800	21.548042	1982-1999 –> 2000-2009	11.937396	5.0453849	37057.719	58.868267	8	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2856	6.8663238	19119.881	9.768004	22.382050	1982-1999 –> 2000-2009	11.940494	5.0741696	37065.921	17.501637	7	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2856	7.0243781	19251.874	12.937509	15.666092	1982-1999 –> 2000-2009	12.391578	5.3672000	37530.823	26.584911	9	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2856	7.1915993	19386.259	12.760011	16.642587	1982-1999 –> 2000-2009	12.725216	5.5336167	37845.183	26.485151	10	21
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2326	6.5322565	15345.554	212.839834	29.442880	2000-2009 –> 2010-2019	13.072297	6.5400401	34191.343	360.464608	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2326	6.5474707	15356.377	33.321206	29.246883	2000-2009 –> 2010-2019	13.099955	6.5524841	34213.024	60.317332	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2326	6.6451385	15423.258	13.923906	30.166387	2000-2009 –> 2010-2019	13.227927	6.5827886	34304.261	27.561269	4	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2326	6.6224843	15409.371	33.144903	28.595389	2000-2009 –> 2010-2019	13.259884	6.6373999	34339.566	64.878486	3	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2326	6.7096990	15468.236	212.351484	34.286613	2000-2009 –> 2010-2019	13.576015	6.8663163	34590.110	336.702029	5	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2326	6.7185406	15474.362	31.390424	33.972496	2000-2009 –> 2010-2019	13.584858	6.8663177	34596.238	57.766166	6	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2326	6.7743374	15512.837	31.364839	33.099225	2000-2009 –> 2010-2019	13.666348	6.8920110	34656.046	59.373639	7	15
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2326	6.8227117	15543.938	5.874531	35.063508	2000-2009 –> 2010-2019	13.689035	6.8663238	34663.819	15.642535	8	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2326	6.8992544	15597.837	13.154356	26.440418	2000-2009 –> 2010-2019	13.923633	7.0243781	34849.711	26.091865	9	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2326	6.9800968	15652.030	13.132659	26.483967	2000-2009 –> 2010-2019	14.171696	7.1915993	35038.289	25.892671	11	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6304	4.0378582	35501.144	58.041764	46.561047	1982-1999 –> 2000-2009	7.857170	3.8193113	74930.342	94.382550	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6304	4.0267184	35466.313	61.081438	48.875514	1982-1999 –> 2000-2009	7.881070	3.8543515	75025.979	323.840261	1	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6304	4.0976495	35686.471	56.438208	41.600702	1982-1999 –> 2000-2009	7.912980	3.8153306	75100.771	93.329363	3	4
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6304	4.2795295	36232.031	52.860189	28.841428	1982-1999 –> 2000-2009	8.113010	3.8334801	75712.128	88.771182	8	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	6304	4.3258186	36367.671	53.056898	29.267671	1982-1999 –> 2000-2009	8.188320	3.8625010	75955.512	89.165221	9	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	6304	4.1190474	35750.138	33.396823	55.252311	1982-1999 –> 2000-2009	8.425297	4.3062493	76891.615	64.552093	5	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6304	4.4745199	36793.792	52.409799	27.518294	1982-1999 –> 2000-2009	8.431257	3.9567371	76725.995	147.384249	12	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6304	4.1894856	35963.920	53.892972	50.651534	1982-1999 –> 2000-2009	8.466285	4.2767990	77007.360	89.493571	6	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6304	4.1040964	35704.292	60.952842	57.234088	1982-1999 –> 2000-2009	8.467274	4.3631775	77033.391	316.806585	4	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	6304	4.2751950	36219.254	57.267496	49.474978	1982-1999 –> 2000-2009	8.476372	4.2011770	77007.830	92.348703	7	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4923	5.8303289	31344.090	152.086518	55.285732	2000-2009 –> 2010-2019	9.857047	4.0267184	66810.402	213.167956	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4923	5.8428013	31365.130	35.718026	53.258044	2000-2009 –> 2010-2019	9.880660	4.0378582	66866.274	93.759790	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4923	5.8965651	31455.316	35.138317	50.165180	2000-2009 –> 2010-2019	9.994215	4.0976495	67141.786	91.576525	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4923	6.0379434	31686.602	35.114396	40.751592	2000-2009 –> 2010-2019	10.317473	4.2795295	67918.632	87.974585	5	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	4923	6.0373197	31685.585	35.652668	41.970619	2000-2009 –> 2010-2019	10.363138	4.3258186	68053.256	88.709565	4	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	4923	6.2201205	31979.282	34.379467	59.711438	2000-2009 –> 2010-2019	10.495315	4.2751950	68198.536	91.646963	7	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4923	6.4459365	32330.397	137.207937	65.604187	2000-2009 –> 2010-2019	10.550033	4.1040964	68034.688	198.160779	8	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4923	6.1105270	31804.257	56.262788	42.659297	2000-2009 –> 2010-2019	10.585047	4.4745199	68598.049	108.672588	6	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4923	6.4872115	32393.242	23.335294	63.439360	2000-2009 –> 2010-2019	10.606259	4.1190474	68143.380	56.732117	9	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4923	6.5798215	32532.808	23.423227	60.237575	2000-2009 –> 2010-2019	10.769307	4.1894856	68496.728	77.316199	11	17
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7932	4.1478189	45091.892	105.967440	48.597360	1982-1999 –> 2000-2009	8.553781	4.4059616	123381.663	187.070653	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	7932	4.1771048	45201.507	66.453757	56.090279	1982-1999 –> 2000-2009	8.583781	4.4066761	123493.652	120.494092	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	7932	4.2871462	45614.017	44.766086	33.826462	1982-1999 –> 2000-2009	8.718144	4.4309978	124054.630	90.421044	7	10
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7932	4.1804105	45216.056	110.670132	52.009942	1982-1999 –> 2000-2009	8.728204	4.5477934	124360.461	197.778638	3	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	7932	4.1854710	45233.248	60.611266	54.934554	1982-1999 –> 2000-2009	8.740760	4.5552886	124420.073	115.088222	4	10
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	7932	4.2119853	45335.428	92.182829	54.877591	1982-1999 –> 2000-2009	8.848465	4.6364796	125000.788	176.265776	5	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + nitrate	7932	4.2119854	45333.428	56.832394	54.886412	1982-1999 –> 2000-2009	8.875780	4.6637951	125155.237	134.925570	6	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	7932	4.3777824	45945.908	34.349110	35.311752	1982-1999 –> 2000-2009	8.965502	4.5877200	125324.093	80.490084	8	15
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	7932	4.5761437	46646.911	42.036439	47.034917	1982-1999 –> 2000-2009	9.012835	4.4366913	125120.162	68.453327	12	16
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	7932	4.6145559	46779.518	21.652851	46.300079	1982-1999 –> 2000-2009	9.203805	4.5892488	126164.690	44.754219	13	21
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6361	4.5296201	37284.074	61.951538	31.891876	2000-2009 –> 2010-2019	8.710031	4.1804105	82500.130	172.621670	2	5
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6361	4.5067590	37219.703	60.163194	31.988545	2000-2009 –> 2010-2019	8.718744	4.2119853	82555.130	152.346023	1	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6361	4.6224536	37542.172	58.238437	31.105058	2000-2009 –> 2010-2019	8.770273	4.1478189	82634.064	164.205877	3	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6361	4.6576957	37636.798	35.461602	28.435387	2000-2009 –> 2010-2019	8.834801	4.1771048	82838.305	101.915360	4	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	6361	4.6643645	37655.000	35.552056	26.382656	2000-2009 –> 2010-2019	8.849835	4.1854710	82888.249	96.163321	5	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6361	4.7333850	37841.873	58.693282	25.203724	2000-2009 –> 2010-2019	8.945370	4.2119854	83175.301	115.525676	6	12
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6361	4.8414147	38128.963	33.095557	22.517337	2000-2009 –> 2010-2019	9.128561	4.2871462	83742.980	77.861642	7	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	6361	4.8653529	38191.712	33.361841	20.984544	2000-2009 –> 2010-2019	9.243135	4.3777824	84137.619	67.710951	9	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	6361	4.8487431	38146.206	19.638807	22.957317	2000-2009 –> 2010-2019	9.424887	4.5761437	84793.117	61.675245	8	20
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	6361	4.8665136	38192.746	18.273310	20.802129	2000-2009 –> 2010-2019	9.481069	4.6145559	84972.264	39.926161	10	23
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1830	4.0366241	10314.511	193.154420	11.443473	1982-1999 –> 2000-2009	7.038432	3.0018082	24485.569	343.167278	1	3
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1830	4.0725329	10346.925	232.887694	11.970769	1982-1999 –> 2000-2009	7.069288	2.9967554	24508.513	411.306939	4	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1830	4.0520283	10326.451	57.920732	12.971656	1982-1999 –> 2000-2009	7.084198	3.0321692	24552.086	117.116405	3	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1830	4.1012303	10370.625	58.705338	13.593154	1982-1999 –> 2000-2009	7.108746	3.0075156	24550.363	119.431037	7	12
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1830	4.1079382	10378.607	234.527664	12.289646	1982-1999 –> 2000-2009	7.114046	3.0061079	24557.712	410.959946	8	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1830	4.1572371	10420.269	83.737456	13.691858	1982-1999 –> 2000-2009	7.163449	3.0062118	24597.568	161.782465	11	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1830	4.1079645	10376.630	157.561612	12.263105	1982-1999 –> 2000-2009	7.463740	3.3557756	25172.362	287.001724	9	17
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1830	4.0736751	10345.952	121.442440	12.189656	1982-1999 –> 2000-2009	7.497686	3.4240112	25254.853	228.048509	5	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1830	4.0423200	10317.672	102.910155	12.241536	1982-1999 –> 2000-2009	7.530705	3.4883847	25331.289	195.889141	2	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	1830	4.0998610	10367.403	25.149092	13.106171	1982-1999 –> 2000-2009	7.689870	3.5900095	25540.462	61.507718	6	19
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1794	4.0734682	10144.479	165.941864	14.562446	2000-2009 –> 2010-2019	8.110092	4.0366241	20458.990	359.096284	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1794	4.0927384	10159.412	42.262982	13.550730	2000-2009 –> 2010-2019	8.144767	4.0520283	20485.864	100.183714	2	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1794	4.1179812	10183.474	205.016723	15.758004	2000-2009 –> 2010-2019	8.190514	4.0725329	20530.400	437.904417	3	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1794	4.1860584	10240.305	80.129413	16.101854	2000-2009 –> 2010-2019	8.228378	4.0423200	20557.977	183.039568	5	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1794	4.1563622	10214.761	43.174925	14.435796	2000-2009 –> 2010-2019	8.257592	4.1012303	20585.386	101.880262	4	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1794	4.1887663	10242.625	92.686398	17.392733	2000-2009 –> 2010-2019	8.262441	4.0736751	20588.577	214.128838	6	11
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1794	4.1923081	10247.658	206.013449	16.893027	2000-2009 –> 2010-2019	8.300246	4.1079382	20626.264	440.541114	7	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1794	4.2288761	10276.819	111.788190	18.205615	2000-2009 –> 2010-2019	8.336841	4.1079645	20653.449	269.349802	8	17
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1794	4.2755195	10316.177	55.140549	14.955681	2000-2009 –> 2010-2019	8.432757	4.1572371	20736.445	138.878004	9	20
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	1794	4.4703760	10474.083	25.255418	14.930229	2000-2009 –> 2010-2019	8.570237	4.0998610	20841.486	50.404510	10	16
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1773	4.9218356	10696.751	237.792800	18.063305	1982-1999 –> 2000-2009	8.200399	3.2785638	23653.855	435.192931	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1773	5.0184982	10765.718	320.863288	18.204442	1982-1999 –> 2000-2009	8.337445	3.3189463	23783.615	572.483588	3	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1773	5.0074409	10755.896	165.658813	16.806726	1982-1999 –> 2000-2009	8.358413	3.3509718	23819.482	335.520798	2	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1773	5.1568345	10860.141	63.212278	12.420821	1982-1999 –> 2000-2009	8.486145	3.3293105	23891.522	122.341614	7	10
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1773	5.1186157	10833.763	218.346617	16.191868	1982-1999 –> 2000-2009	8.498472	3.3798558	23939.970	428.450353	5	11
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1773	5.0867332	10813.607	319.865476	18.318447	1982-1999 –> 2000-2009	8.522064	3.4353307	24002.662	571.776633	4	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + silicate	1773	5.2040353	10892.450	63.073229	12.554742	1982-1999 –> 2000-2009	8.560369	3.3563341	23963.977	122.855808	11	16
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + nitrate	1773	5.1576033	10858.670	22.663826	12.436275	1982-1999 –> 2000-2009	8.628168	3.4705647	24094.398	74.589829	8	17
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	1773	5.2114323	10895.487	22.575748	12.626132	1982-1999 –> 2000-2009	8.691865	3.4804325	24145.315	74.948571	12	23
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1773	5.2213576	10904.234	224.268933	15.845431	1982-1999 –> 2000-2009	8.694263	3.4729054	24145.311	457.149872	13	23
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1715	4.9230743	10348.150	176.260515	17.819196	2000-2009 –> 2010-2019	9.844910	4.9218356	21044.901	414.053315	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1715	4.9255579	10347.880	127.865167	17.861313	2000-2009 –> 2010-2019	9.932999	5.0074409	21103.776	293.523980	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1715	5.1147918	10479.188	234.170825	19.098651	2000-2009 –> 2010-2019	10.133290	5.0184982	21244.906	555.034113	3	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1715	5.1156213	10477.744	160.977552	19.128784	2000-2009 –> 2010-2019	10.234237	5.1186157	21311.507	379.324170	4	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1715	5.1935191	10529.581	38.109659	18.822211	2000-2009 –> 2010-2019	10.350354	5.1568345	21389.722	101.321937	5	12
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1715	5.3881575	10657.777	243.792219	18.969598	2000-2009 –> 2010-2019	10.474891	5.0867332	21471.384	563.657695	8	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + nitrate	1715	5.3306295	10616.959	27.630620	19.650140	2000-2009 –> 2010-2019	10.488233	5.1576033	21475.629	50.294446	7	15
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + silicate	1715	5.2960486	10596.635	38.280853	19.451013	2000-2009 –> 2010-2019	10.500084	5.2040353	21489.086	101.354083	6	17
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	1715	5.3966936	10659.207	27.629167	20.039724	2000-2009 –> 2010-2019	10.608126	5.2114323	21554.694	50.204915	10	22
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1715	5.3887186	10656.134	192.746154	18.928715	2000-2009 –> 2010-2019	10.610076	5.2213576	21560.368	417.015087	9	22
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1349	4.8801152	8119.082	381.434137	18.738850	1982-1999 –> 2000-2009	8.984283	4.1041681	18601.904	806.209558	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1349	4.8871870	8122.989	382.034951	18.614228	1982-1999 –> 2000-2009	9.064649	4.1774618	18671.268	806.153793	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1349	4.9072328	8134.032	368.845191	18.565891	1982-1999 –> 2000-2009	9.162937	4.2557040	18750.933	800.975552	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1349	4.9863691	8175.194	56.741366	18.192729	1982-1999 –> 2000-2009	9.276798	4.2904286	18820.147	111.452842	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	1349	4.9916241	8178.036	57.035505	18.311495	1982-1999 –> 2000-2009	9.362756	4.3711315	18891.902	111.024204	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1349	4.9975875	8181.258	57.195993	18.492206	1982-1999 –> 2000-2009	9.375974	4.3783866	18901.256	111.488945	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	1349	5.1699970	8272.765	90.482425	18.972678	1982-1999 –> 2000-2009	9.570560	4.4005634	19011.447	153.310271	10	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1349	5.0258676	8196.482	315.779494	18.973197	1982-1999 –> 2000-2009	9.593146	4.5672780	19072.673	704.862455	7	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1349	5.0330362	8200.327	315.762083	19.129817	1982-1999 –> 2000-2009	9.668486	4.6354494	19131.307	703.986140	8	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1349	5.0607784	8215.158	307.180365	19.572789	1982-1999 –> 2000-2009	9.780195	4.7194166	19212.525	702.299169	9	20
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1271	4.1313223	7227.017	407.382761	21.793659	2000-2009 –> 2010-2019	9.011437	4.8801152	15346.098	788.816898	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1271	4.1321862	7227.548	407.488483	21.609233	2000-2009 –> 2010-2019	9.019373	4.8871870	15350.537	789.523434	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1271	4.1393200	7231.933	399.976201	21.412651	2000-2009 –> 2010-2019	9.046553	4.9072328	15365.965	768.821392	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1271	4.1919872	7262.072	50.700830	20.801455	2000-2009 –> 2010-2019	9.178356	4.9863691	15437.267	107.442196	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	1271	4.1926015	7262.445	49.940700	20.991071	2000-2009 –> 2010-2019	9.184226	4.9916241	15440.481	106.976206	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1271	4.1949798	7263.886	49.565355	21.126512	2000-2009 –> 2010-2019	9.192567	4.9975875	15445.144	106.761348	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	1271	4.3339979	7346.760	69.199053	21.239744	2000-2009 –> 2010-2019	9.503995	5.1699970	15619.526	159.681478	7	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1271	4.6715439	7537.408	294.803225	24.236169	2000-2009 –> 2010-2019	9.697411	5.0258676	15733.890	610.582719	10	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1271	4.6685663	7535.788	294.984220	24.116207	2000-2009 –> 2010-2019	9.701602	5.0330362	15736.115	610.746302	8	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1271	4.6707173	7536.959	286.220695	23.846144	2000-2009 –> 2010-2019	9.731496	5.0607784	15752.117	593.401060	9	18
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3424	2.6867035	16498.872	41.454033	19.775657	1982-1999 –> 2000-2009	4.834867	2.1481640	32727.930	55.906506	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	3424	2.6903129	16506.066	7.309380	19.958175	1982-1999 –> 2000-2009	4.844763	2.1544504	32754.823	17.380542	3	5
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3424	2.6901524	16507.657	41.310591	19.776044	1982-1999 –> 2000-2009	4.844954	2.1548017	32759.625	55.712298	2	5
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3424	2.6903491	16508.158	41.722537	19.778744	1982-1999 –> 2000-2009	4.845762	2.1554133	32762.233	56.212595	4	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	3424	2.6911676	16508.241	20.511557	19.793014	1982-1999 –> 2000-2009	4.851025	2.1598571	32775.611	26.657118	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	3424	2.6932056	16513.425	3.614258	19.946614	1982-1999 –> 2000-2009	4.855118	2.1619129	32787.860	7.835284	8	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	3424	2.6936068	16514.445	3.304303	19.955235	1982-1999 –> 2000-2009	4.855576	2.1619693	32789.074	6.658913	9	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3424	2.6921424	16510.721	7.527906	19.982931	1982-1999 –> 2000-2009	4.855979	2.1638368	32791.761	18.252741	6	15
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + silicate	3424	2.7033517	16537.175	2.003332	20.336346	1982-1999 –> 2000-2009	4.865379	2.1620270	32810.002	4.543401	14	22
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3424	2.6952728	16518.679	5.367201	19.978642	1982-1999 –> 2000-2009	4.865400	2.1701268	32821.275	9.847416	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2130	2.1131115	9245.846	20.164568	25.825542	2000-2009 –> 2010-2019	4.799815	2.6867035	25744.718	61.618601	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2130	2.1218996	9263.526	20.226664	25.864497	2000-2009 –> 2010-2019	4.812249	2.6903491	25771.684	61.949201	2	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2130	2.1234357	9266.609	20.056010	25.888532	2000-2009 –> 2010-2019	4.813588	2.6901524	25774.266	61.366601	3	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	2130	2.1307848	9279.327	15.898048	26.474413	2000-2009 –> 2010-2019	4.821098	2.6903129	25785.393	23.207429	4	7
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2130	2.1313363	9280.429	17.087676	26.244301	2000-2009 –> 2010-2019	4.823479	2.6921424	25791.150	24.615582	5	11
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + oxygen + aou	2130	2.1324353	9280.626	14.664692	26.388016	2000-2009 –> 2010-2019	4.825156	2.6927208	25790.818	21.530347	6	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	2130	2.1381074	9293.942	7.763050	26.486594	2000-2009 –> 2010-2019	4.831714	2.6936068	25808.387	11.067353	7	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	2130	2.1387073	9295.137	8.070748	26.489095	2000-2009 –> 2010-2019	4.831913	2.6932056	25808.562	11.685006	8	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	2130	2.1397393	9297.192	8.138280	26.280613	2000-2009 –> 2010-2019	4.835454	2.6957149	25816.994	13.562652	9	20
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2130	2.1405745	9298.855	8.635172	26.293382	2000-2009 –> 2010-2019	4.835847	2.6952728	25817.534	14.002373	11	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4992	10.1695970	37337.598	60.933927	76.486358	1982-1999 –> 2000-2009	22.798416	12.6288194	66950.219	174.730389	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4992	10.1707290	37336.709	60.882036	77.708161	1982-1999 –> 2000-2009	22.811534	12.6408048	66954.429	174.635798	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4992	10.3808613	37542.881	22.950117	83.245864	1982-1999 –> 2000-2009	23.606590	13.2257285	67501.133	43.854065	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	4992	10.4122413	37571.016	13.862064	89.939750	1982-1999 –> 2000-2009	23.699865	13.2876241	67562.211	29.588632	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4992	10.4594310	37618.163	21.207031	86.083792	1982-1999 –> 2000-2009	23.961077	13.5016458	67730.941	40.470136	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4992	10.5037561	37658.384	11.698904	94.234445	1982-1999 –> 2000-2009	24.093080	13.5893235	67817.605	25.399471	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	4992	10.6801973	37824.701	6.166099	106.860372	1982-1999 –> 2000-2009	25.567782	14.8875849	68666.786	11.578717	7	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	4992	10.6882996	37832.272	5.677492	106.193291	1982-1999 –> 2000-2009	25.572942	14.8846427	68672.878	10.794011	8	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	4992	10.7319612	37872.974	25.368641	109.392722	1982-1999 –> 2000-2009	25.741599	15.0096378	68776.165	75.838516	11	20
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + oxygen	4992	10.7102603	37850.765	1.946801	104.038147	1982-1999 –> 2000-2009	25.751518	15.0412575	68767.705	4.726220	9	19
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5523	10.5549884	41718.583	88.198903	70.250692	2000-2009 –> 2010-2019	20.724585	10.1695970	79056.181	149.132830	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5523	10.5595347	41721.340	87.633638	68.085373	2000-2009 –> 2010-2019	20.730264	10.1707290	79058.049	148.515673	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5523	11.1478312	42322.207	30.980868	84.000826	2000-2009 –> 2010-2019	21.528693	10.3808613	79865.088	53.930985	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5523	11.1623500	42334.584	25.467610	88.270000	2000-2009 –> 2010-2019	21.574591	10.4122413	79905.600	39.329673	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5523	11.3971155	42566.493	27.711657	92.735063	2000-2009 –> 2010-2019	21.856547	10.4594310	80184.656	48.918688	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5523	11.4317470	42598.007	20.958522	99.907613	2000-2009 –> 2010-2019	21.935503	10.5037561	80256.390	32.657426	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	5523	11.8165849	42963.737	27.527708	138.105387	2000-2009 –> 2010-2019	22.548546	10.7319612	80836.711	52.896349	7	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	5523	11.9229878	43062.756	7.584481	136.137073	2000-2009 –> 2010-2019	22.603185	10.6801973	80887.457	13.750580	8	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	5523	11.9694934	43105.757	6.934043	135.781161	2000-2009 –> 2010-2019	22.657793	10.6882996	80938.029	12.611535	9	17
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + aou	5523	11.9854086	43120.434	655.358798	132.526038	2000-2009 –> 2010-2019	22.693079	10.7076703	80970.785	1175.576372	10	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3323	10.2186645	24891.004	579.823781	42.834320	1982-1999 –> 2000-2009	21.084928	10.8662636	51575.260	1174.386837	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3323	10.2837125	24931.176	393.485199	44.398290	1982-1999 –> 2000-2009	21.153506	10.8697934	51615.709	876.206183	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3323	10.8877957	25312.538	20.232789	47.726346	1982-1999 –> 2000-2009	22.595227	11.7074311	52519.465	37.205766	3	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3323	11.2130848	25506.188	282.759992	48.469156	1982-1999 –> 2000-2009	22.643572	11.4304875	52543.299	383.341692	4	7
Indo-Pacific	(26,26.5]	3	cstar_tref ~ oxygen + aou + nitrate	3323	11.2666251	25535.846	90.448531	51.847921	1982-1999 –> 2000-2009	22.705517	11.4388924	52576.110	151.675031	5	9
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3323	11.2948617	25554.482	17.450067	52.325445	1982-1999 –> 2000-2009	23.092124	11.7972627	52812.992	33.337672	7	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3323	11.2785258	25546.863	23.081790	50.859999	1982-1999 –> 2000-2009	23.481347	12.2028209	53044.308	41.059110	6	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3323	11.6293721	25748.452	10.488326	51.152636	1982-1999 –> 2000-2009	23.604744	11.9753721	53112.005	16.217762	8	15
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	3323	11.8954763	25896.813	7.626142	59.790208	1982-1999 –> 2000-2009	23.979509	12.0840328	53321.686	12.061669	9	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3323	11.9126119	25908.380	18.526117	56.850753	1982-1999 –> 2000-2009	24.316993	12.4043808	53518.667	34.907891	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2796	11.1515932	21434.273	457.822280	63.589247	2000-2009 –> 2010-2019	21.370258	10.2186645	46325.277	1037.646062	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2796	11.2213456	21467.142	353.079678	61.832714	2000-2009 –> 2010-2019	21.505058	10.2837125	46398.318	746.564877	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2796	11.8431379	21768.723	172.543855	61.978955	2000-2009 –> 2010-2019	23.056223	11.2130848	47274.911	455.303847	3	7
Indo-Pacific	(26,26.5]	3	cstar_tref ~ oxygen + aou + nitrate	2796	11.9062547	21796.445	69.946586	60.260486	2000-2009 –> 2010-2019	23.172880	11.2666251	47332.292	160.395117	4	9
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2796	12.2877585	21976.815	14.506216	61.996826	2000-2009 –> 2010-2019	23.175554	10.8877957	47289.353	34.739005	5	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2796	12.2960198	21978.574	13.315406	62.565563	2000-2009 –> 2010-2019	23.590882	11.2948617	47533.055	30.765473	6	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2796	12.8723702	22236.729	16.192781	61.623219	2000-2009 –> 2010-2019	24.150896	11.2785258	47783.592	39.274571	9	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2796	12.6504650	22137.489	9.202048	60.515962	2000-2009 –> 2010-2019	24.279837	11.6293721	47885.941	19.690374	7	15
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	2796	12.6515639	22135.975	6.212490	60.735154	2000-2009 –> 2010-2019	24.547040	11.8954763	48032.788	13.838632	8	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2796	12.9332887	22261.131	14.004798	63.183122	2000-2009 –> 2010-2019	24.845901	11.9126119	48169.511	32.530915	10	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2979	10.3623941	22396.932	630.307292	53.583942	1982-1999 –> 2000-2009	22.566683	12.2042887	46521.396	1362.941789	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2979	10.9159270	22708.984	46.649530	55.131720	1982-1999 –> 2000-2009	23.542638	12.6267111	47044.715	91.666288	2	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2979	11.1167553	22815.601	42.741141	58.719650	1982-1999 –> 2000-2009	23.758978	12.6422229	47156.883	81.069189	5	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2979	10.9694584	22736.130	214.146680	59.027206	1982-1999 –> 2000-2009	23.822630	12.8531721	47179.185	319.632660	3	7
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	2979	11.0081716	22755.120	50.196609	60.466796	1982-1999 –> 2000-2009	23.868786	12.8606146	47199.735	88.967183	4	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2979	11.2893264	22909.380	50.565415	55.907979	1982-1999 –> 2000-2009	24.236786	12.9474597	47399.385	98.296344	6	12
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2979	11.6106030	23074.568	43.597888	60.599373	1982-1999 –> 2000-2009	24.626331	13.0157285	47594.914	82.609289	8	15
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2979	11.4961464	23015.543	9.578297	59.895152	1982-1999 –> 2000-2009	24.797201	13.3010548	47669.251	14.381616	7	15
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	2979	11.6765484	23106.312	3.260029	63.338726	1982-1999 –> 2000-2009	25.078829	13.4022803	47804.647	4.908157	9	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2979	11.9345149	23238.507	9.966633	60.948736	1982-1999 –> 2000-2009	25.643629	13.7091142	48078.054	14.650071	10	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2811	11.4836359	21714.142	807.828072	65.865284	2000-2009 –> 2010-2019	21.818527	10.3348916	44097.240	1631.691941	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2811	11.8105743	21869.964	580.211538	62.676935	2000-2009 –> 2010-2019	22.172968	10.3623941	44266.896	1210.518830	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2811	12.3667771	22130.679	34.328546	65.908195	2000-2009 –> 2010-2019	23.282704	10.9159270	44839.663	80.978076	3	6
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2811	12.4236502	22154.474	29.763222	64.429633	2000-2009 –> 2010-2019	23.540405	11.1167553	44970.076	72.504362	4	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2811	12.6083786	22237.453	161.113716	72.098262	2000-2009 –> 2010-2019	23.577837	10.9694584	44973.583	375.260396	5	9
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	2811	12.7440428	22295.622	46.799093	69.514584	2000-2009 –> 2010-2019	23.752214	11.0081716	45050.742	96.995702	6	11
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2811	12.7895744	22319.672	36.843465	66.020873	2000-2009 –> 2010-2019	24.078901	11.2893264	45229.052	87.408880	7	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2811	12.8025434	22323.370	30.241209	65.173309	2000-2009 –> 2010-2019	24.413146	11.6106030	45397.938	73.839097	8	17
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2811	13.2757317	22527.414	6.936662	71.259724	2000-2009 –> 2010-2019	24.771878	11.4961464	45542.957	16.514959	9	17
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	2811	13.2924083	22532.472	2.320101	70.345083	2000-2009 –> 2010-2019	24.968957	11.6765484	45638.784	5.580129	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3976	9.0778757	28838.241	842.883385	74.703380	1982-1999 –> 2000-2009	22.034444	12.9565679	59040.666	1658.481286	1	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3976	9.1511914	28900.205	214.903304	76.011481	1982-1999 –> 2000-2009	22.125911	12.9747197	59111.249	323.528701	2	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3976	9.3952113	29111.471	45.614315	73.662086	1982-1999 –> 2000-2009	22.204875	12.8096638	59227.416	85.377253	3	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	3976	9.4802468	29181.120	10.395264	75.481600	1982-1999 –> 2000-2009	22.431193	12.9509464	59378.254	16.168208	4	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3976	9.6587822	29329.482	41.110097	74.837825	1982-1999 –> 2000-2009	22.477640	12.8188582	59448.869	72.454737	7	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3976	9.5582480	29246.279	663.658206	76.531725	1982-1999 –> 2000-2009	22.574878	13.0166301	59481.781	1185.193911	5	14
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3976	9.7201534	29381.849	48.591910	73.334933	1982-1999 –> 2000-2009	22.632513	12.9123598	59558.353	91.351640	8	11
Indo-Pacific	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	3976	9.6250557	29299.667	41.013613	77.807172	1982-1999 –> 2000-2009	22.644369	13.0193134	59534.731	74.816202	6	16
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3976	9.7570665	29407.990	2.318530	76.860777	1982-1999 –> 2000-2009	22.708091	12.9510244	59603.170	3.728295	9	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3976	9.8835504	29512.412	41.749241	74.267673	1982-1999 –> 2000-2009	22.797248	12.9136980	59687.702	73.441815	11	15
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4030	9.9307866	29953.500	800.752020	73.247177	2000-2009 –> 2010-2019	19.008662	9.0778757	58791.741	1643.635405	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4030	10.1346582	30115.291	177.018424	75.622934	2000-2009 –> 2010-2019	19.285850	9.1511914	59015.496	391.921728	3	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4030	9.9908521	30002.104	31.881982	71.755632	2000-2009 –> 2010-2019	19.386063	9.3952113	59113.574	77.496297	2	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	4030	10.2318332	30192.205	8.058060	74.850197	2000-2009 –> 2010-2019	19.712080	9.4802468	59373.325	18.453324	5	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4030	10.1427530	30123.726	33.629049	71.409698	2000-2009 –> 2010-2019	19.862906	9.7201534	59505.575	82.220959	4	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	4030	10.5404901	30431.750	28.775945	73.084960	2000-2009 –> 2010-2019	20.199272	9.6587822	59761.233	69.886042	7	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4030	10.3856680	30312.484	7.915883	74.542456	2000-2009 –> 2010-2019	20.201002	9.8153337	59769.821	18.685552	6	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4030	10.7183750	30566.639	629.440012	75.260013	2000-2009 –> 2010-2019	20.276623	9.5582480	59812.918	1293.098218	9	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4030	10.5719150	30455.744	28.914244	72.585868	2000-2009 –> 2010-2019	20.455465	9.8835504	59968.156	70.663484	8	19
Indo-Pacific	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	4030	10.8642971	30673.629	43.514489	77.293306	2000-2009 –> 2010-2019	20.489353	9.6250557	59973.296	84.528102	12	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6516	17.0027435	55430.146	32.430701	187.345817	1982-1999 –> 2000-2009	39.261933	22.2591894	107081.886	65.982869	5	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6516	17.0028442	55428.223	15.522937	187.282095	1982-1999 –> 2000-2009	39.262693	22.2598486	107078.301	23.061328	6	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6516	16.9322112	55375.973	29.391206	188.019037	1982-1999 –> 2000-2009	39.275223	22.3430119	107070.637	60.496096	3	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	6516	16.9332008	55374.735	15.796321	188.216549	1982-1999 –> 2000-2009	39.276299	22.3430985	107067.443	23.499278	4	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6516	16.9172660	55364.466	843.074631	189.459318	1982-1999 –> 2000-2009	39.513566	22.5963000	107187.862	1721.578336	1	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6516	16.9266797	55369.715	299.069265	189.974570	1982-1999 –> 2000-2009	39.539003	22.6123230	107199.206	427.989042	2	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6516	17.2155138	55590.215	23.450836	180.663621	1982-1999 –> 2000-2009	39.656526	22.4410126	107332.859	47.479252	9	14
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	6516	17.2156241	55588.299	2.159877	180.724016	1982-1999 –> 2000-2009	39.662915	22.4472907	107332.137	3.692842	10	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	6516	17.1969489	55576.154	23.425140	180.543658	1982-1999 –> 2000-2009	39.667556	22.4706073	107333.849	47.579455	7	14
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	6516	17.1995011	55576.088	2.160640	180.835829	1982-1999 –> 2000-2009	39.676479	22.4769778	107335.020	3.638067	8	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6632	18.3015388	57393.052	24.293293	189.531088	2000-2009 –> 2010-2019	35.233750	16.9322112	112769.025	53.684499	1	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	6632	18.3026702	57391.872	10.195927	189.322186	2000-2009 –> 2010-2019	35.235871	16.9332008	112766.607	25.992248	2	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6632	18.3542216	57431.179	541.648135	191.405493	2000-2009 –> 2010-2019	35.271488	16.9172660	112795.644	1384.722766	5	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6632	18.3544866	57429.370	179.013699	191.322335	2000-2009 –> 2010-2019	35.281166	16.9266797	112799.085	478.082964	6	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6632	18.3212674	57407.342	27.046171	188.786088	2000-2009 –> 2010-2019	35.324011	17.0027435	112837.488	59.476872	3	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6632	18.3246624	57407.800	10.064190	188.422037	2000-2009 –> 2010-2019	35.327507	17.0028442	112836.023	25.587127	4	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	6632	18.5753672	57588.038	18.012544	184.535632	2000-2009 –> 2010-2019	35.772316	17.1969489	113164.192	41.437684	9	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6632	18.5579000	57575.560	17.907763	184.193424	2000-2009 –> 2010-2019	35.773414	17.2155138	113165.775	41.358599	7	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	6632	18.5810454	57590.092	1.980501	184.004623	2000-2009 –> 2010-2019	35.780546	17.1995011	113166.180	4.141141	10	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	6632	18.5669165	57580.002	1.979118	183.526098	2000-2009 –> 2010-2019	35.782541	17.2156241	113168.301	4.138995	8	18
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	8624	23.0087067	78575.384	14.719550	204.532160	1982-1999 –> 2000-2009	51.896158	28.8874518	156082.516	27.679785	3	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	8624	22.9964381	78566.185	583.867397	204.852789	1982-1999 –> 2000-2009	51.897894	28.9014554	156081.170	1151.092407	1	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8624	22.9985020	78567.733	14.846893	204.744496	1982-1999 –> 2000-2009	51.919671	28.9211689	156093.767	26.576810	2	5
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	8624	23.0869469	78631.936	11.752569	202.484579	1982-1999 –> 2000-2009	52.063327	28.9763804	156186.874	20.114772	4	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	8624	23.6237415	79028.378	10.123181	197.173500	1982-1999 –> 2000-2009	52.561804	28.9380621	156561.874	18.288879	8	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	8624	23.7214953	79099.602	245.448738	207.614034	1982-1999 –> 2000-2009	54.051024	30.3295286	157394.103	370.254379	10	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	8624	23.8164830	79168.530	14.843108	207.232467	1982-1999 –> 2000-2009	54.093384	30.2769006	157434.889	24.142352	11	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	8624	23.8835908	79217.061	14.710738	206.972643	1982-1999 –> 2000-2009	54.147484	30.2638931	157476.458	24.748040	12	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	8624	23.2846187	78778.985	388.852235	215.999047	1982-1999 –> 2000-2009	54.774997	31.4903787	157682.114	860.841230	5	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	8624	23.3034572	78792.934	9.626985	216.169324	1982-1999 –> 2000-2009	54.828367	31.5249104	157713.822	20.107413	6	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	8100	25.6659235	75572.464	295.000868	169.607141	2000-2009 –> 2010-2019	48.662362	22.9964381	154138.649	878.868265	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8100	25.6683489	75573.995	9.387466	169.561488	2000-2009 –> 2010-2019	48.666851	22.9985020	154141.727	24.234359	3	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	8100	25.6661894	75572.632	11.275639	169.657147	2000-2009 –> 2010-2019	48.674896	23.0087067	154148.016	25.995189	2	5
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	8100	25.7442334	75619.817	7.504010	171.323165	2000-2009 –> 2010-2019	48.831180	23.0869469	154251.753	19.256578	5	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	8100	25.7092746	75597.804	6.473942	168.023574	2000-2009 –> 2010-2019	49.333016	23.6237415	154626.181	16.597123	4	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	8100	27.3438536	76596.371	226.986015	190.643690	2000-2009 –> 2010-2019	50.628472	23.2846187	155375.356	615.838250	11	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	8100	27.3298510	76588.073	8.518935	190.625929	2000-2009 –> 2010-2019	50.633308	23.3034572	155381.007	18.145920	10	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	8100	27.3042436	76572.887	8.516526	190.598173	2000-2009 –> 2010-2019	50.640221	23.3359771	155389.874	18.138769	9	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	8100	27.1676476	76491.639	128.090933	173.807800	2000-2009 –> 2010-2019	50.889143	23.7214953	155591.241	373.539670	6	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	8100	27.1693387	76492.647	9.094375	174.008283	2000-2009 –> 2010-2019	50.985822	23.8164830	155661.177	23.937483	7	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8212	13.7640580	66383.371	13.721740	148.096157	1982-1999 –> 2000-2009	28.946481	15.1824230	123822.925	25.899894	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	8212	13.7642750	66383.630	373.032462	147.940047	1982-1999 –> 2000-2009	28.947381	15.1831057	123823.807	787.344058	2	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	8212	13.7702993	66390.817	14.589880	148.853393	1982-1999 –> 2000-2009	28.957841	15.1875414	123835.047	28.078900	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	8212	13.7932557	66416.175	10.779832	146.319127	1982-1999 –> 2000-2009	28.991333	15.1980776	123868.026	20.827234	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	8212	13.9787245	66635.546	4.523543	151.668435	1982-1999 –> 2000-2009	29.381276	15.4025514	124272.812	10.104125	5	10
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	8212	13.9904253	66649.288	4.526306	151.146773	1982-1999 –> 2000-2009	29.394221	15.4037958	124287.675	10.007445	6	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	8212	13.9989832	66659.331	262.601782	150.839621	1982-1999 –> 2000-2009	29.407570	15.4085866	124302.033	594.186250	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	8212	14.1660248	66852.149	1.435372	147.114319	1982-1999 –> 2000-2009	29.677964	15.5119389	124585.599	2.588145	8	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	8212	14.6711247	67429.560	9.208929	139.159949	1982-1999 –> 2000-2009	30.646299	15.9751738	125573.265	18.560785	9	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	8212	15.2052942	68016.922	169.284131	162.843539	1982-1999 –> 2000-2009	31.678622	16.4733275	126586.652	308.032046	10	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	8664	13.4315132	69612.643	300.339433	132.726278	2000-2009 –> 2010-2019	27.195788	13.7642750	135996.274	673.371895	1	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8664	13.4327217	69614.202	11.420915	132.873788	2000-2009 –> 2010-2019	27.196780	13.7640580	135997.574	25.142655	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	8664	13.4462636	69631.663	13.545297	133.699450	2000-2009 –> 2010-2019	27.216563	13.7702993	136022.480	28.135176	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	8664	13.4671035	69656.498	8.663118	130.702890	2000-2009 –> 2010-2019	27.260359	13.7932557	136072.673	19.442949	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	8664	13.8953465	70198.935	5.079725	140.558291	2000-2009 –> 2010-2019	27.874071	13.9787245	136834.480	9.603269	5	10
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	8664	13.9365221	70250.206	4.801689	140.018087	2000-2009 –> 2010-2019	27.926948	13.9904253	136899.494	9.327994	6	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	8664	13.9621985	70282.102	241.794996	139.541162	2000-2009 –> 2010-2019	27.961182	13.9989832	136941.433	504.396778	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	8664	14.2053744	70579.301	1.344025	135.607317	2000-2009 –> 2010-2019	28.371399	14.1660248	137431.450	2.779397	8	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	8664	14.3436739	70749.185	8.142010	122.182525	2000-2009 –> 2010-2019	29.014799	14.6711247	138178.745	17.350939	9	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	8664	14.7889462	71278.920	133.897442	146.216096	2000-2009 –> 2010-2019	29.994240	15.2052942	139295.842	303.181573	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3473	6.2155204	22560.633	15.034125	51.932711	1982-1999 –> 2000-2009	12.473693	6.2581729	42755.170	28.636316	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3473	6.2202125	22565.874	603.240182	51.586726	1982-1999 –> 2000-2009	12.508358	6.2881452	42790.054	1175.135594	3	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3473	6.2182046	22563.632	14.307871	51.664902	1982-1999 –> 2000-2009	12.512805	6.2946006	42794.177	26.790291	2	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3473	6.2338490	22579.085	10.502122	51.322799	1982-1999 –> 2000-2009	12.546105	6.3122564	42825.008	20.844760	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	3473	6.2618958	22610.266	14.282272	50.933384	1982-1999 –> 2000-2009	12.575471	6.3135753	42857.484	26.563764	7	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3473	6.2403960	22586.376	601.823630	50.939580	1982-1999 –> 2000-2009	12.584056	6.3436596	42863.087	1173.717080	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3473	6.2381071	22583.828	10.495585	51.023203	1982-1999 –> 2000-2009	12.588251	6.3501434	42866.876	20.437662	5	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	3473	6.2792924	22627.536	1.323589	50.350452	1982-1999 –> 2000-2009	12.648023	6.3687304	42926.717	2.383125	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3473	6.7102857	23090.641	15.026811	55.206248	1982-1999 –> 2000-2009	14.064392	7.3541066	44284.322	28.493613	9	20
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	3473	6.7562162	23136.023	1.219211	54.911156	1982-1999 –> 2000-2009	14.158886	7.4026701	44368.538	2.404688	11	23
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4002	5.7137205	25321.119	15.902554	44.155556	2000-2009 –> 2010-2019	11.929241	6.2155204	47881.751	30.936679	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4002	5.7187765	25328.198	13.826350	43.822410	2000-2009 –> 2010-2019	11.936981	6.2182046	47891.830	28.134221	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4002	5.7222031	25332.993	528.255539	43.693442	2000-2009 –> 2010-2019	11.942416	6.2202125	47898.867	1131.495721	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4002	5.8027157	25442.826	9.215975	45.627108	2000-2009 –> 2010-2019	12.036565	6.2338490	48021.911	19.718097	5	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	4002	5.8138426	25458.159	8.697356	45.327244	2000-2009 –> 2010-2019	12.051950	6.2381071	48041.987	19.192941	6	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	4002	5.7950033	25432.180	13.460891	42.552238	2000-2009 –> 2010-2019	12.056899	6.2618958	48042.446	27.743163	4	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4002	5.8189311	25465.161	528.188729	45.198143	2000-2009 –> 2010-2019	12.059327	6.2403960	48051.537	1130.012359	7	13
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	4002	5.8887093	25558.571	1.264798	44.057129	2000-2009 –> 2010-2019	12.168002	6.2792924	48186.107	2.588386	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4002	6.2920235	26090.803	15.893880	48.478846	2000-2009 –> 2010-2019	13.002309	6.7102857	49181.444	30.920690	9	18
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	4002	6.3278908	26136.300	13.821194	48.256631	2000-2009 –> 2010-2019	13.057462	6.7295713	49246.875	27.916003	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4668	4.1888927	26634.437	13.376060	42.135098	1982-1999 –> 2000-2009	8.761533	4.5726407	52082.797	24.993215	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4668	4.1979626	26654.629	749.598809	42.143020	1982-1999 –> 2000-2009	8.792413	4.5944505	52144.168	1480.350300	3	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4668	4.1973171	26653.194	13.360662	42.182780	1982-1999 –> 2000-2009	8.800979	4.6036620	52160.066	24.576196	2	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	4668	4.2000707	26657.317	13.307387	41.849038	1982-1999 –> 2000-2009	8.862576	4.6625058	52272.103	24.465643	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4668	4.3489747	26982.571	11.429736	46.291786	1982-1999 –> 2000-2009	9.206774	4.8577994	52952.452	21.686495	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4668	4.3614967	27009.414	746.127854	46.337558	1982-1999 –> 2000-2009	9.238901	4.8774039	53014.149	1457.210552	7	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4668	4.3611270	27008.622	11.436567	46.395941	1982-1999 –> 2000-2009	9.245366	4.8842392	53025.477	21.690734	6	13
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4668	4.3618147	27008.094	1.224278	46.208178	1982-1999 –> 2000-2009	9.291073	4.9292581	53102.350	2.324343	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	4668	4.9958604	28277.190	13.335201	35.381278	1982-1999 –> 2000-2009	10.010253	5.0143924	54521.634	24.220098	12	21
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + oxygen + nitrate	4668	5.1677045	28590.923	1.230095	39.905850	1982-1999 –> 2000-2009	10.563894	5.3961895	55468.405	2.317351	16	26
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4844	3.7991818	26692.081	548.081027	38.512932	2000-2009 –> 2010-2019	7.997144	4.1979626	53346.710	1297.679836	1	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4844	3.8007702	26696.130	11.777567	38.512559	2000-2009 –> 2010-2019	7.998087	4.1973171	53349.324	25.138228	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4844	3.8120463	26724.830	11.867228	38.546706	2000-2009 –> 2010-2019	8.000939	4.1888927	53359.267	25.243288	3	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	4844	3.8939432	26928.760	11.774124	36.445251	2000-2009 –> 2010-2019	8.094014	4.2000707	53586.077	25.081511	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4844	3.9694656	27114.858	9.651988	41.775021	2000-2009 –> 2010-2019	8.318440	4.3489747	54097.429	21.081724	7	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4844	3.9579262	27086.654	547.949558	41.743191	2000-2009 –> 2010-2019	8.319423	4.3614967	54096.067	1294.077412	5	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4844	3.9590919	27089.507	9.108892	41.743699	2000-2009 –> 2010-2019	8.320219	4.3611270	54098.129	20.545458	6	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4844	4.0526555	27313.796	1.134378	39.672662	2000-2009 –> 2010-2019	8.414470	4.3618147	54321.890	2.358657	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4844	4.3584085	28020.449	73.272350	45.098608	2000-2009 –> 2010-2019	9.243510	4.8851015	56088.329	155.089698	9	18
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	4844	4.3636507	28032.094	11.711632	45.162610	2000-2009 –> 2010-2019	9.254904	4.8912535	56111.725	25.065894	10	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6705	3.0214582	33869.933	16.499801	15.130718	1982-1999 –> 2000-2009	6.578990	3.5575318	72773.997	37.386879	1	2
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6705	3.0256322	33888.446	16.511103	15.255999	1982-1999 –> 2000-2009	6.590890	3.5652582	72823.898	37.409897	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	6705	3.0447400	33970.868	13.788648	14.185924	1982-1999 –> 2000-2009	6.610204	3.5654636	72905.153	22.366070	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6705	3.2302445	34763.966	109.360865	21.521869	1982-1999 –> 2000-2009	6.961765	3.7315200	74356.858	195.658563	4	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	6705	3.2360351	34787.984	13.268704	21.639338	1982-1999 –> 2000-2009	6.965309	3.7292736	74372.163	21.352801	5	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6705	3.2823525	34978.561	15.813586	27.546740	1982-1999 –> 2000-2009	6.973946	3.6915937	74415.814	35.160092	7	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6705	3.2485364	34839.689	13.284156	21.764727	1982-1999 –> 2000-2009	6.979616	3.7310796	74430.873	21.375347	6	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	6705	3.2896870	35008.492	15.814675	27.767796	1982-1999 –> 2000-2009	6.992167	3.7024800	74488.349	35.165441	8	13
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	6705	3.3176189	35119.873	3.349001	26.696778	1982-1999 –> 2000-2009	7.021316	3.7036970	74602.483	6.542506	9	15
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	6705	3.4110593	35492.343	2.964441	31.082381	1982-1999 –> 2000-2009	7.210812	3.7997526	75345.399	5.896262	11	22
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7539	3.0966858	38451.908	14.511903	15.448375	2000-2009 –> 2010-2019	6.122318	3.0256322	72340.353	31.023006	1	3
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7539	3.1133210	38532.689	14.486323	14.949031	2000-2009 –> 2010-2019	6.134779	3.0214582	72402.622	30.986124	3	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	7539	3.0970592	38451.726	11.287199	15.650091	2000-2009 –> 2010-2019	6.141799	3.0447400	72422.594	25.075847	2	5
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	7539	3.3897404	39813.274	13.396814	27.245451	2000-2009 –> 2010-2019	6.679427	3.2896870	74821.766	29.211489	4	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	7539	3.4154068	39927.012	13.393137	26.948117	2000-2009 –> 2010-2019	6.697759	3.2823525	74905.572	29.206723	6	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	7539	3.4722564	40175.920	103.643833	25.760683	2000-2009 –> 2010-2019	6.702501	3.2302445	74939.886	213.004699	7	11
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	7539	3.3918795	39820.786	2.403560	26.862791	2000-2009 –> 2010-2019	6.709498	3.3176189	74940.659	5.752561	5	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	7539	3.5113971	40344.934	10.576269	25.876698	2000-2009 –> 2010-2019	6.747432	3.2360351	75132.918	23.844973	9	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	7539	3.5620676	40560.959	10.574447	25.844428	2000-2009 –> 2010-2019	6.810604	3.2485364	75400.648	23.858604	10	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	7539	3.6046744	40738.241	90.444509	32.617274	2000-2009 –> 2010-2019	7.014704	3.4100297	76226.535	195.054126	11	21
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3580	2.9036445	17805.921	39.283137	13.633101	1982-1999 –> 2000-2009	6.311281	3.4076365	39413.354	82.899395	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3580	2.9102859	17822.279	39.297900	14.218984	1982-1999 –> 2000-2009	6.330322	3.4200361	39459.365	82.915870	2	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	3580	2.9757248	17979.492	32.976039	14.119158	1982-1999 –> 2000-2009	6.391966	3.4162408	39605.512	64.438330	4	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3580	2.9827422	17996.356	32.970148	14.711066	1982-1999 –> 2000-2009	6.411455	3.4287132	39652.129	64.412523	5	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	3580	2.9741084	17975.601	35.085038	12.422741	1982-1999 –> 2000-2009	6.418076	3.4439677	39667.615	76.718110	3	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + nitrate	3580	3.0258345	18097.058	17.055089	14.523105	1982-1999 –> 2000-2009	6.476109	3.4502747	39802.010	37.812182	6	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	3580	3.1933172	18484.791	34.092081	15.355481	1982-1999 –> 2000-2009	6.815586	3.6222687	40588.894	74.141272	7	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	3580	3.2238326	18550.888	16.272851	16.591735	1982-1999 –> 2000-2009	6.847661	3.6238285	40656.505	36.136811	8	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3580	3.3398024	18805.927	220.000505	18.007341	1982-1999 –> 2000-2009	7.028333	3.6885304	41058.024	419.406301	9	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	3580	3.3410880	18808.683	29.746519	18.022828	1982-1999 –> 2000-2009	7.030212	3.6891241	41062.093	66.203740	10	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5001	2.8433953	24658.302	28.527449	12.558936	2000-2009 –> 2010-2019	5.747040	2.9036445	42464.223	67.810586	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5001	2.8444095	24661.869	28.580216	12.476646	2000-2009 –> 2010-2019	5.754695	2.9102859	42484.148	67.878116	2	4
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	5001	2.8726888	24758.818	20.462375	14.902504	2000-2009 –> 2010-2019	5.848414	2.9757248	42738.310	53.438414	3	7
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5001	2.8754151	24768.306	20.489277	14.894694	2000-2009 –> 2010-2019	5.858157	2.9827422	42764.662	53.459424	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	5001	3.1027379	25529.337	21.598073	17.463465	2000-2009 –> 2010-2019	6.076846	2.9741084	43504.938	56.683112	5	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + nitrate	5001	3.1039505	25531.245	12.068829	17.882346	2000-2009 –> 2010-2019	6.129785	3.0258345	43628.303	29.123918	6	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	5001	3.3955207	26431.239	20.483145	21.355811	2000-2009 –> 2010-2019	6.588838	3.1933172	44916.031	54.575226	7	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	5001	3.3967892	26432.975	11.258605	20.926604	2000-2009 –> 2010-2019	6.620622	3.2238326	44983.863	27.531457	8	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	5001	3.5012083	26737.811	234.388688	24.836380	2000-2009 –> 2010-2019	6.841011	3.3398024	45543.738	454.389193	9	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	5001	3.5035254	26744.428	16.133189	24.921449	2000-2009 –> 2010-2019	6.844613	3.3410880	45553.111	45.879708	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6734	2.0750702	28955.837	62.284912	23.531167	1982-1999 –> 2000-2009	4.623323	2.5482530	62321.510	114.529443	2	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6734	2.0746451	28953.077	62.024945	23.528676	1982-1999 –> 2000-2009	4.623376	2.5487308	62321.407	114.060518	1	3
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	6734	2.1050673	29147.135	41.719100	24.260344	1982-1999 –> 2000-2009	4.660608	2.5555407	62551.264	83.532766	13	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	6734	2.0980608	29102.234	37.756248	24.341754	1982-1999 –> 2000-2009	4.661777	2.5637160	62551.608	77.183520	10	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6734	2.0983968	29104.391	138.030988	24.334478	1982-1999 –> 2000-2009	4.661818	2.5634216	62552.138	225.492133	11	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6734	2.0987762	29106.826	37.816175	24.357104	1982-1999 –> 2000-2009	4.661862	2.5630853	62552.714	77.377894	12	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	6734	2.0901209	29051.169	47.576230	23.781764	1982-1999 –> 2000-2009	4.664516	2.5743954	62559.430	95.439553	8	15
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + silicate	6734	2.0872825	29032.867	28.035375	21.729995	1982-1999 –> 2000-2009	4.673443	2.5861607	62605.721	51.032154	4	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + silicate	6734	2.0870845	29031.589	26.180447	21.713519	1982-1999 –> 2000-2009	4.674425	2.5873402	62610.902	48.176035	3	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ oxygen + nitrate + silicate	6734	2.1106808	29181.003	22.303044	25.773948	1982-1999 –> 2000-2009	4.696133	2.5854525	62747.977	43.874706	14	22
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8313	2.0960090	35909.095	54.681686	32.266717	2000-2009 –> 2010-2019	4.170654	2.0746451	64862.172	116.706631	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	8313	2.0963783	35912.024	54.823671	32.274813	2000-2009 –> 2010-2019	4.171449	2.0750702	64867.861	117.108583	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	8313	2.0987061	35928.475	22.761704	31.624400	2000-2009 –> 2010-2019	4.187602	2.0888963	64971.751	48.311337	3	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	8313	2.0990463	35931.170	23.544605	31.634362	2000-2009 –> 2010-2019	4.188310	2.0892638	64976.815	51.758312	4	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + silicate	8313	2.1048376	35976.978	10.479637	30.045770	2000-2009 –> 2010-2019	4.191922	2.0870845	65008.567	36.660084	5	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + silicate	8313	2.1051494	35979.441	11.283913	30.059079	2000-2009 –> 2010-2019	4.192432	2.0872825	65012.308	39.319287	6	10
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + aou	8313	2.1057860	35982.468	9.656954	29.774213	2000-2009 –> 2010-2019	4.195641	2.0898554	65029.926	31.869828	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + oxygen	8313	2.1061058	35984.993	10.048038	29.786623	2000-2009 –> 2010-2019	4.196251	2.0901448	65034.316	32.954720	8	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	8313	2.2007142	36717.560	26.584167	35.655546	2000-2009 –> 2010-2019	4.298775	2.0980608	65819.794	64.340414	9	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	8313	2.2013451	36722.326	26.550158	35.691077	2000-2009 –> 2010-2019	4.300121	2.0987762	65829.152	64.366333	10	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3695	1.9557400	15456.936	29.439247	7.803229	1982-1999 –> 2000-2009	4.297897	2.3421570	32373.437	47.820767	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3695	1.9562232	15458.761	13.548368	7.797940	1982-1999 –> 2000-2009	4.298708	2.3424845	32376.303	31.930767	5	7
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3695	1.9558623	15457.398	13.555591	7.803885	1982-1999 –> 2000-2009	4.300499	2.3446368	32381.778	31.949473	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3695	1.9992108	15617.397	26.948384	7.277297	1982-1999 –> 2000-2009	4.346035	2.3468245	32546.721	44.916359	15	20
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3695	1.9997305	15619.318	5.240939	7.268583	1982-1999 –> 2000-2009	4.346903	2.3471720	32549.745	10.816470	17	23
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + nitrate	3695	1.9992767	15617.640	4.298529	7.280465	1982-1999 –> 2000-2009	4.348613	2.3493363	32554.930	9.691794	16	23
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + silicate	3695	1.9922528	15591.632	22.142200	8.059854	1982-1999 –> 2000-2009	4.450446	2.4581936	32866.180	38.237446	9	18
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + silicate	3695	1.9925740	15592.823	3.785494	8.061471	1982-1999 –> 2000-2009	4.451065	2.4584912	32868.273	7.808661	11	21
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + silicate	3695	1.9923875	15592.131	3.012102	8.059869	1982-1999 –> 2000-2009	4.452487	2.4600998	32872.451	6.946081	10	21
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + silicate	3695	1.9675939	15499.592	10.183603	8.343634	1982-1999 –> 2000-2009	4.469398	2.5018045	32905.082	26.620902	7	20
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4446	1.8008999	17862.245	21.720966	23.832344	2000-2009 –> 2010-2019	3.756640	1.9557400	33319.181	51.160213	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4446	1.8009405	17862.445	15.082511	23.832982	2000-2009 –> 2010-2019	3.756803	1.9558623	33319.843	28.638102	2	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4446	1.8013976	17864.702	15.071404	23.829087	2000-2009 –> 2010-2019	3.757621	1.9562232	33323.464	28.619772	3	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4446	1.8018545	17864.957	15.728021	23.930618	2000-2009 –> 2010-2019	3.757639	1.9557849	33320.063	28.591436	4	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + silicate	4446	1.8018595	17864.982	14.829171	23.929642	2000-2009 –> 2010-2019	3.757741	1.9558812	33320.452	26.705157	5	9
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4446	1.8020112	17865.730	14.807311	23.908599	2000-2009 –> 2010-2019	3.758236	1.9562250	33322.499	26.645731	7	13
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + silicate	4446	1.8019826	17865.589	10.574675	23.878320	2000-2009 –> 2010-2019	3.769576	1.9675939	33365.181	20.758277	6	13
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + silicate	4446	1.8022384	17864.851	10.104663	23.924318	2000-2009 –> 2010-2019	3.782626	1.9803879	33410.340	20.278301	8	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4446	1.8278891	17992.516	20.323957	23.433304	2000-2009 –> 2010-2019	3.827100	1.9992108	33609.913	47.272340	11	26
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + nitrate	4446	1.8278775	17992.460	5.058061	23.434666	2000-2009 –> 2010-2019	3.827154	1.9992767	33610.100	9.356590	9	25
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	825	0.9404899	2254.014	37.103297	7.379135	1982-1999 –> 2000-2009	1.818166	0.8776760	4981.512	60.655247	1	2
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	825	0.9405031	2254.037	7.094619	7.381082	1982-1999 –> 2000-2009	1.818187	0.8776842	4981.555	12.034278	2	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	825	0.9405748	2254.163	11.167326	7.390564	1982-1999 –> 2000-2009	1.818308	0.8777332	4981.798	18.533804	3	6
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	825	0.9523796	2272.742	6.887116	7.567314	1982-1999 –> 2000-2009	1.866519	0.9141390	5083.966	11.196661	4	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	825	1.0165024	2380.255	5.963504	6.011070	1982-1999 –> 2000-2009	2.013136	0.9966330	5373.437	10.684346	11	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	825	1.0164699	2380.202	4.509577	6.003153	1982-1999 –> 2000-2009	2.013304	0.9968343	5373.810	7.673936	9	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	825	1.0164696	2380.202	27.501806	6.002959	1982-1999 –> 2000-2009	2.013347	0.9968774	5373.900	47.821019	8	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	825	1.0112245	2371.666	9.198741	4.595243	1982-1999 –> 2000-2009	2.021464	1.0102395	5393.405	15.869538	7	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	825	1.0109250	2371.177	5.846706	4.591800	1982-1999 –> 2000-2009	2.021625	1.0107000	5393.876	10.318197	6	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	825	1.0108754	2371.096	34.762113	4.590359	1982-1999 –> 2000-2009	2.021700	1.0108242	5394.054	57.978914	5	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1167	0.7139731	2539.455	84.260366	4.273178	2000-2009 –> 2010-2019	1.654463	0.9404899	4793.469	121.363663	3	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1167	0.7139714	2539.449	8.334066	4.276187	2000-2009 –> 2010-2019	1.654475	0.9405031	4793.486	15.428685	2	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1167	0.7139695	2539.443	11.604098	4.283151	2000-2009 –> 2010-2019	1.654544	0.9405748	4793.606	22.771424	1	4
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	1167	0.7588036	2679.590	8.333494	4.660585	2000-2009 –> 2010-2019	1.711183	0.9523796	4952.332	15.220610	7	11
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	1167	0.7319530	2595.504	65.544965	4.159737	2000-2009 –> 2010-2019	1.748423	1.0164696	4975.706	93.046771	4	12
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	1167	0.7320166	2595.706	4.495515	4.163601	2000-2009 –> 2010-2019	1.748486	1.0164699	4975.909	9.005092	5	14
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	1167	0.7321241	2596.049	6.256596	4.169583	2000-2009 –> 2010-2019	1.748627	1.0165024	4976.304	12.220100	6	17
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1167	0.7660331	2701.722	72.828479	3.596466	2000-2009 –> 2010-2019	1.776909	1.0108754	5072.818	107.590592	8	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	1167	0.7662915	2702.509	6.387221	3.599266	2000-2009 –> 2010-2019	1.777216	1.0109250	5073.686	12.233927	9	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1167	0.7666852	2703.708	8.886984	3.602532	2000-2009 –> 2010-2019	1.777910	1.0112245	5075.374	18.085725	11	18

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	20.379047	9054.473
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	18.390249	7749.945
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	16.797228	8937.601
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	14.582196	7942.651
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	12.040636	7970.785
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	12.859869	6065.971
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	9.828663	14775.870
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	9.890478	11740.278
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	8.129452	24192.800
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	8.826908	20003.794
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	9.098764	50691.892
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	10.325440	44211.632
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	14.098926	92968.266
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	15.335765	78286.367
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	11.919045	37060.711
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	13.527165	34544.241
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	8.221903	76139.092
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	10.341849	67826.173
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	8.823106	124647.545
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	9.010671	83423.716
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	7.276016	24855.078
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	8.283387	20606.484
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	8.497760	23944.011
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	10.317720	21364.597
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	9.383978	18906.536
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	9.326702	15522.714
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	4.851882	32778.019
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	4.823031	25790.951
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	24.360440	67940.007
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	21.885279	80195.895
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	22.865747	52663.950
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	23.369453	47402.504
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	24.194249	47364.816
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	23.637754	45000.693
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	22.463116	59407.219
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	19.887728	59508.513
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	39.479219	107201.920
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	35.478261	112946.832
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	53.223411	156870.759
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	49.794527	154870.498
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	29.602899	124495.784
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	28.001213	136967.044
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	12.866004	43133.143
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	12.224115	48244.476
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	9.277376	53074.360
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	8.396115	54245.495
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	6.888501	74051.499
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	6.576082	74353.355
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	6.606100	40096.550
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	6.231002	43858.133
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	4.660128	62537.467
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	4.209316	65141.266
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	4.376205	32629.490
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	3.775114	33392.103
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	1.942576	5233.131
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	1.725224	4948.269

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
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

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
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	nitrate	oxygen	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	7	6	7	6	10	6
(26,26.5]	7	10	6	7	7	6
(26.5,26.75]	7	10	5	6	6	6
(26.75,27]	6	10	5	5	5	8
(27,27.25]	6	10	6	4	5	8
(27.25,27.5]	7	10	5	8	6	6
(27.5,27.75]	6	10	6	8	5	6
(27.75,27.85]	7	10	5	8	6	6
(27.85,27.95]	7	10	6	7	7	6
(27.95,28.05]	6	10	6	6	5	8
(28.05,28.1]	7	10	7	6	6	6
(28.1,28.15]	8	10	6	6	5	6
(28.15,28.2]	7	10	6	7	7	6
(28.2, Inf]	5	6	6	10	8	7
total	93.00	132.00	82.00	94.00	88.00	91.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	6	6	7	10	6
(26,26.5]	7	10	6	7	7	6
(26.5,26.75]	7	10	5	5	6	7
(26.75,27]	6	10	5	5	5	8
(27,27.25]	6	10	6	4	5	8
(27.25,27.5]	7	10	5	8	6	6
(27.5,27.75]	7	10	5	8	6	6
(27.75,27.85]	7	10	5	8	6	6
(27.85,27.95]	7	10	6	7	7	6
(27.95,28.05]	6	10	6	6	5	8
(28.05,28.1]	7	10	7	6	6	6
(28.1,28.15]	8	10	6	6	5	6
(28.15,28.2]	7	10	6	7	7	6
(28.2, Inf]	7	6	7	10	6	6
total	96.00	132.00	81.00	94.00	87.00	91.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	6	6	7	10	6	7
(26,26.5]	8	10	6	6	5	6
(26.5,26.75]	7	10	6	5	5	7
(26.75,27]	8	10	6	6	5	6
(27,27.25]	6	10	6	5	6	8
(27.25,27.5]	7	10	6	7	8	5
(27.5,27.75]	7	10	6	9	6	4
(27.75,27.85]	6	10	6	8	5	6
(27.85,27.95]	6	10	6	10	5	4
(27.95,28.05]	7	10	4	6	6	7
(28.05,28.1]	6	10	5	8	6	5
(28.1,28.2]	5	8	6	6	10	6
(28.2,28.3]	7	7	6	10	7	6
(28.3, Inf]	7	7	6	10	7	6
total	93.00	128.00	82.00	106.00	87.00	83.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	7	6	7	10	6	7
(26,26.5]	8	10	6	6	5	6
(26.5,26.75]	8	10	6	6	5	6
(26.75,27]	7	10	7	6	6	6
(27,27.25]	6	10	6	5	6	8
(27.25,27.5]	7	10	6	8	7	5
(27.5,27.75]	7	10	6	9	6	4
(27.75,27.85]	7	10	5	8	6	6
(27.85,27.95]	8	10	5	8	6	5
(27.95,28.05]	7	10	5	6	6	6
(28.05,28.1]	6	10	5	8	6	5
(28.1,28.2]	5	6	5	8	6	10
(28.2,28.3]	8	10	5	6	8	5
(28.3, Inf]	7	7	6	10	7	6
total	98.00	129.00	80.00	104.00	86.00	85.00

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
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
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