eMLR - model fitting

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Last updated: 2021-07-31

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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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: 4336335

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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	016f9ed	Donghe-Zhu	2021-07-31	Build site.
html	2080ac5	Donghe-Zhu	2021-07-31	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	b8ba2c4	Donghe-Zhu	2021-07-28	Build site.
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html	dcf34b1	Donghe-Zhu	2021-07-23	Build site.
html	419cb72	Donghe-Zhu	2021-07-22	Build site.
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html	e4805a1	Donghe-Zhu	2021-07-22	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	bb413c8	Donghe-Zhu	2021-06-25	Build site.
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html	d517836	Donghe-Zhu	2021-06-24	0
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html	61cae2b	Donghe-Zhu	2021-06-20	1
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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
html	2705a04	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, aou, nitrate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 26

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 + temp + aou + nitrate + phosphate_star	250	5.4622089	1572.3959024	56.406965	16.0078175	1982-1999 –> 2000-2009	10.1558417	4.6936327	3940.72134	138.237293	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	250	5.8288696	1602.8808106	54.267320	15.2964875	1982-1999 –> 2000-2009	10.9344484	5.1055788	4036.00307	130.380774	3	5
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	250	5.7400834	1595.2061367	52.667985	16.3217756	1982-1999 –> 2000-2009	10.9415713	5.2014879	4043.10544	125.148178	2	6
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	250	5.8517500	1604.8396435	55.198842	18.4887732	1982-1999 –> 2000-2009	10.9801357	5.1283857	4041.50085	136.453717	5	8
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	250	5.8395057	1601.7923418	52.667895	14.6826550	1982-1999 –> 2000-2009	11.0459913	5.2064856	4048.45417	124.680695	4	9
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	250	6.0680142	1620.9849659	50.334169	16.9660037	1982-1999 –> 2000-2009	11.3163454	5.2483313	4074.00284	120.915534	6	12
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	250	6.5312934	1657.7717666	51.964021	16.3176959	1982-1999 –> 2000-2009	12.1113053	5.5800119	4159.44654	123.132672	7	14
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	250	6.8228951	1681.6112073	13.393938	17.9122496	1982-1999 –> 2000-2009	13.1125136	6.2896185	4280.33533	33.006028	8	16
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + nitrate + phosphate_star	250	6.8625323	1682.5075237	7.097545	16.9790958	1982-1999 –> 2000-2009	13.2361643	6.3736320	4289.76729	18.317369	9	18
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + nitrate + phosphate_star	250	6.9387327	1688.0288435	7.675665	15.9673644	1982-1999 –> 2000-2009	13.3326703	6.3939376	4297.81417	15.541518	10	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	318	4.7248694	1904.0510977	39.582653	16.3390235	2000-2009 –> 2010-2019	10.1870783	5.4622089	3476.44700	95.989618	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	318	4.8611186	1920.1317273	37.457740	17.9801537	2000-2009 –> 2010-2019	10.7128686	5.8517500	3524.97137	92.656581	2	7
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	318	5.0933278	1949.8092868	39.062803	13.0914963	2000-2009 –> 2010-2019	10.8334112	5.7400834	3545.01542	91.730788	4	6
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	318	5.0899415	1949.3862975	34.671630	15.5444065	2000-2009 –> 2010-2019	10.9188111	5.8288696	3552.26711	88.938949	3	6
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	318	5.1560263	1955.5905956	33.734607	14.4887442	2000-2009 –> 2010-2019	10.9955319	5.8395057	3557.38294	86.402501	6	10
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	318	5.1442305	1954.1339101	33.806311	16.6820501	2000-2009 –> 2010-2019	11.2122447	6.0680142	3575.11888	84.140480	5	11
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	318	5.6695980	2015.9800897	34.592724	16.7818774	2000-2009 –> 2010-2019	12.2008914	6.5312934	3673.75186	86.556746	7	14
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	318	6.6253993	2117.0640753	19.199583	17.2529694	2000-2009 –> 2010-2019	13.4482944	6.8228951	3798.67528	32.593521	8	16
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + nitrate + phosphate_star	318	6.7172879	2123.8242368	8.628754	18.1281733	2000-2009 –> 2010-2019	13.5798202	6.8625323	3806.33176	15.726299	12	21
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + nitrate + phosphate_star	318	6.6456501	2117.0050676	11.705402	17.3494029	2000-2009 –> 2010-2019	13.5843828	6.9387327	3805.03391	19.381066	9	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	931	3.3337589	4898.0986340	405.609478	19.0301155	1982-1999 –> 2000-2009	8.1632058	4.8294469	12917.17349	616.327347	1	2
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	931	3.4779074	4974.9176759	363.631786	19.7788231	1982-1999 –> 2000-2009	8.8038539	5.3259465	13253.66617	572.790891	2	7
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	931	4.0599723	5263.0535226	100.039475	18.1122036	1982-1999 –> 2000-2009	8.9194167	4.8594445	13296.68626	204.225449	5	7
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	931	4.0461514	5256.7041349	258.340233	15.3605715	1982-1999 –> 2000-2009	9.2370593	5.1909079	13466.77939	405.349387	3	6
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	931	4.0461642	5254.7100046	91.440963	15.3767693	1982-1999 –> 2000-2009	9.4527503	5.4065862	13571.64183	204.131470	4	10
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	931	4.3377222	5384.2680773	64.740503	17.9944408	1982-1999 –> 2000-2009	9.5347814	5.1970592	13595.51022	151.618227	6	10
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	931	5.2544694	5741.2687147	55.845754	20.5271294	1982-1999 –> 2000-2009	11.0247904	5.7703210	14232.30425	127.929592	7	14
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	931	6.0203955	5996.6383575	37.971382	28.7194868	1982-1999 –> 2000-2009	11.9422982	5.9219026	14559.01092	79.725825	8	16
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	931	6.0890745	6015.7592825	22.752803	28.1797993	1982-1999 –> 2000-2009	12.0110195	5.9219450	14576.15097	64.484297	9	18
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	931	6.6226896	6174.1774885	45.324149	31.1560097	1982-1999 –> 2000-2009	12.9521436	6.3294539	14914.52126	113.137648	11	21
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1138	4.9308611	6874.8931275	186.526827	49.8978393	2000-2009 –> 2010-2019	8.2646200	3.3337589	11772.99176	592.136305	1	2
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	1138	4.9439045	6878.9058147	77.184436	46.5639870	2000-2009 –> 2010-2019	9.0038768	4.0599723	12141.95934	177.223911	2	7
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1138	5.5542871	7143.8655843	179.899897	55.0867584	2000-2009 –> 2010-2019	9.0321944	3.4779074	12118.78326	543.531683	5	7
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1138	5.2527843	7016.8379478	123.879015	37.0148484	2000-2009 –> 2010-2019	9.2989357	4.0461514	12273.54208	382.219247	3	6
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	1138	5.2656703	7020.4145467	59.490084	39.6263702	2000-2009 –> 2010-2019	9.6033925	4.3377222	12404.68262	124.230587	4	10
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	1138	5.6020426	7161.3509096	76.000593	48.5042605	2000-2009 –> 2010-2019	9.6482068	4.0461642	12416.06091	167.441556	6	10
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	1138	6.1007496	7355.4490235	50.885655	29.0975090	2000-2009 –> 2010-2019	11.3552191	5.2544694	13096.71774	106.731409	7	14
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1138	6.1974570	7393.2445778	39.454087	29.9523317	2000-2009 –> 2010-2019	12.2178525	6.0203955	13389.88294	77.425468	8	16
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	1138	6.2136344	7397.1779451	32.798339	30.8600536	2000-2009 –> 2010-2019	12.3027089	6.0890745	13412.93723	55.551142	9	18
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1138	6.6311244	7547.1825969	56.117944	31.4415191	2000-2009 –> 2010-2019	13.2538141	6.6226896	13721.36009	101.442093	10	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1005	2.9767315	5058.6264824	914.650786	26.7866393	1982-1999 –> 2000-2009	6.4959090	3.5191775	12359.87190	1215.597696	1	2
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1005	3.0442502	5101.7082857	639.729990	30.1595236	1982-1999 –> 2000-2009	6.6068087	3.5625584	12434.30266	896.846006	4	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	1005	3.0389052	5098.1760734	141.905014	20.1326839	1982-1999 –> 2000-2009	6.6283617	3.5894565	12451.24490	262.157822	3	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1005	2.9832127	5060.9981067	762.895354	27.9331930	1982-1999 –> 2000-2009	6.6557434	3.6725307	12476.34684	1060.668722	2	7
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	1005	3.1227322	5150.8701523	107.689280	19.4051697	1982-1999 –> 2000-2009	6.8005556	3.6778234	12568.13893	192.753555	6	12
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	1005	3.2117427	5207.3619440	124.494132	20.4230235	1982-1999 –> 2000-2009	6.8272410	3.6154983	12578.10785	226.675115	7	11
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	1005	3.0834202	5125.4057344	215.633211	34.3944442	1982-1999 –> 2000-2009	7.2183387	4.1349184	12861.54724	382.499745	5	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1005	3.8336809	5565.1555288	39.062863	12.1183774	1982-1999 –> 2000-2009	7.7802331	3.9465522	13176.38308	81.850422	8	15
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	1005	4.0457510	5671.3775200	16.845023	15.8864237	1982-1999 –> 2000-2009	8.1825705	4.1368195	13408.77022	32.012935	9	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1005	4.1344868	5716.9864959	51.659176	14.1628216	1982-1999 –> 2000-2009	8.4341668	4.2996800	13561.48472	95.822315	10	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1041	3.3178463	5465.2056369	509.551896	34.4713489	2000-2009 –> 2010-2019	6.2945778	2.9767315	10523.83212	1424.202681	1	2
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1041	3.3216200	5465.5723977	487.879411	33.6818301	2000-2009 –> 2010-2019	6.3048328	2.9832127	10526.57050	1250.774766	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1041	3.4024206	5515.6122258	363.965040	39.2011653	2000-2009 –> 2010-2019	6.4466709	3.0442502	10617.32051	1003.695031	3	7
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	1041	3.4358850	5535.9896142	134.016430	22.5383187	2000-2009 –> 2010-2019	6.4747902	3.0389052	10634.16569	275.921444	5	8
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	1041	3.4178040	5523.0043533	170.927610	42.5486281	2000-2009 –> 2010-2019	6.5012242	3.0834202	10648.41009	386.560821	4	9
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	1041	3.4601131	5548.6192769	79.221760	21.3264806	2000-2009 –> 2010-2019	6.5828452	3.1227322	10699.48943	186.911040	6	12
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	1041	3.6173283	5641.1317918	101.137504	24.5440678	2000-2009 –> 2010-2019	6.8290710	3.2117427	10848.49374	225.631636	7	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1041	4.2055500	5956.8253943	59.841770	21.3864680	2000-2009 –> 2010-2019	8.0392309	3.8336809	11521.98092	98.904633	8	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	1041	4.2229456	5963.4195306	14.860655	21.6368425	2000-2009 –> 2010-2019	8.2686967	4.0457510	11634.79705	31.705678	9	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1041	4.3428054	6023.6897825	62.178561	22.2944159	2000-2009 –> 2010-2019	8.4772921	4.1344868	11740.67628	113.837737	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1569	2.9255576	7835.2253614	577.711455	19.8119251	1982-1999 –> 2000-2009	5.9678144	3.0422568	18608.26247	1047.670192	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	1569	2.9278026	7835.6324980	80.482967	17.8701069	1982-1999 –> 2000-2009	6.0029894	3.0751867	18652.42514	186.086579	3	5
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1569	2.9257940	7833.4789377	405.716398	19.3869813	1982-1999 –> 2000-2009	6.0376460	3.1118520	18700.64437	780.748044	2	5
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	1569	2.9284441	7834.3199068	67.220946	17.9604396	1982-1999 –> 2000-2009	6.0403161	3.1118720	18699.51270	155.169256	4	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1569	3.4535490	8353.8738392	31.434793	34.3873085	1982-1999 –> 2000-2009	6.8177770	3.3642280	19552.45627	62.936706	5	10
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1569	3.4631005	8362.5406620	499.637952	29.6291828	1982-1999 –> 2000-2009	6.8472433	3.3841428	19586.20714	914.887049	6	12
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	1569	3.5769870	8462.0754274	80.398692	17.8627933	1982-1999 –> 2000-2009	6.9644976	3.3875106	19687.96930	185.968524	10	17
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1569	3.4959603	8392.1753494	41.581029	34.6270661	1982-1999 –> 2000-2009	6.9929821	3.4970218	19755.28875	88.202017	7	15
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	1569	3.5117209	8404.2903626	217.518679	37.6815184	1982-1999 –> 2000-2009	7.1023226	3.5906017	19877.63825	468.017779	8	17
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	1569	3.6401572	8517.0094438	15.799597	35.8119430	1982-1999 –> 2000-2009	7.3056112	3.6654540	20078.04509	33.776126	11	21
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1467	2.9529901	7352.1544059	537.482413	23.1052877	2000-2009 –> 2010-2019	5.8787841	2.9257940	15185.63334	943.198810	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	1467	2.9899370	7388.6359414	76.401886	23.2414384	2000-2009 –> 2010-2019	5.9177396	2.9278026	15224.26844	156.884853	2	4
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	1467	2.9935171	7390.1469708	51.088386	23.1566032	2000-2009 –> 2010-2019	5.9219612	2.9284441	15224.46688	118.309331	3	6
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1467	3.3082308	7685.4430403	749.670693	22.5028318	2000-2009 –> 2010-2019	6.7713314	3.4631005	16047.98370	1249.308644	4	9
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	1467	3.4166149	7778.0255550	225.834508	21.8093835	2000-2009 –> 2010-2019	6.9283358	3.5117209	16182.31592	443.353187	5	12
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1467	3.5142058	7862.6566451	38.181070	21.9915579	2000-2009 –> 2010-2019	6.9677548	3.4535490	16216.53048	69.615863	7	11
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1467	3.4897768	7842.1896811	41.705145	22.0069462	2000-2009 –> 2010-2019	6.9857371	3.4959603	16234.36503	83.286174	6	12
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + phosphate_star	1467	3.5475186	7888.3383525	21.948202	22.0755126	2000-2009 –> 2010-2019	7.0855981	3.5380795	16316.09429	43.692119	9	17
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate_star	1467	3.5349336	7877.9113915	15.032425	22.1961330	2000-2009 –> 2010-2019	7.1773133	3.6423797	16396.83611	37.930583	8	19
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	1467	3.5894152	7922.7862781	11.155463	22.2222201	2000-2009 –> 2010-2019	7.2295725	3.6401572	16439.79572	26.955060	10	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1898	2.6295045	9070.2460409	373.582358	18.5441676	1982-1999 –> 2000-2009	5.0139889	2.3844844	23209.87316	831.438976	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1898	2.7083685	9180.4216512	166.651248	20.8484854	1982-1999 –> 2000-2009	5.1352591	2.4268907	23426.88367	455.268709	3	5
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1898	2.6798706	9140.2679036	35.179230	19.8582535	1982-1999 –> 2000-2009	5.1363239	2.4564533	23461.48276	107.275683	2	5
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1898	2.7085274	9178.6443725	33.440892	20.8842679	1982-1999 –> 2000-2009	5.1649991	2.4564718	23497.90569	97.900089	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1898	3.0384434	9616.9576477	30.187295	28.2727957	1982-1999 –> 2000-2009	6.2377993	3.1993559	25569.53435	74.938150	5	12
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	1898	3.1141810	9708.4183305	19.880416	27.9349573	1982-1999 –> 2000-2009	6.4694192	3.3552382	25952.71239	46.208639	6	15
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1898	3.4502424	10099.4259690	373.114136	10.6728325	1982-1999 –> 2000-2009	6.4793200	3.0290776	25714.33823	811.840817	9	14
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	1898	3.4555325	10103.2417460	141.734927	10.3702526	1982-1999 –> 2000-2009	6.4952465	3.0397139	25737.79555	396.791422	10	16
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1898	3.2441528	9865.6293932	28.351517	32.1514274	1982-1999 –> 2000-2009	6.5521168	3.3079639	26024.31508	68.805676	7	15
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1898	3.5246469	10178.4164893	29.685965	11.9947943	1982-1999 –> 2000-2009	6.8841779	3.3595311	26430.60489	87.749869	11	21
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1874	2.9283655	9359.1992818	421.112617	11.7899943	2000-2009 –> 2010-2019	5.5578699	2.6295045	18429.44532	794.694975	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1874	3.2636801	9763.5237877	235.082311	14.5755828	2000-2009 –> 2010-2019	5.9720486	2.7083685	18943.94544	401.733559	2	5
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1874	3.3207444	9828.4899324	42.618406	18.2398594	2000-2009 –> 2010-2019	6.0006150	2.6798706	18968.75784	77.797635	3	5
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1874	3.3387343	9846.7396175	36.127885	18.2375031	2000-2009 –> 2010-2019	6.0472617	2.7085274	19025.38399	69.568777	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1874	3.9767905	10504.2022498	33.133004	24.5258982	2000-2009 –> 2010-2019	7.0152339	3.0384434	20121.15990	63.320299	7	12
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	1874	3.9988168	10522.9040682	18.572342	23.5140877	2000-2009 –> 2010-2019	7.1129978	3.1141810	20231.32240	38.452758	8	14
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1874	3.6886961	10222.3449526	396.881686	14.0054395	2000-2009 –> 2010-2019	7.1389385	3.4502424	20321.77092	769.995823	5	14
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	1874	3.8627979	10393.1979984	188.291049	12.0258526	2000-2009 –> 2010-2019	7.3183305	3.4555325	20496.43974	330.025976	6	16
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1874	4.2574477	10759.7962386	30.689080	27.8434539	2000-2009 –> 2010-2019	7.5016006	3.2441528	20625.42563	59.040596	9	16
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	1874	4.3358051	10826.1502653	18.090960	26.0293015	2000-2009 –> 2010-2019	7.7763680	3.4405628	20912.91165	35.662824	10	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2834	2.8015842	13895.6323726	191.293330	17.6167786	1982-1999 –> 2000-2009	5.7110410	2.9094568	32830.00503	478.781184	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2834	2.9093233	14107.5170498	131.265700	17.2760884	1982-1999 –> 2000-2009	5.8706370	2.9613137	33174.29716	359.564589	3	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2834	2.9349384	14157.2024828	30.036271	17.3348862	1982-1999 –> 2000-2009	5.8759643	2.9410259	33171.68118	70.818802	4	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2834	2.8138891	13918.4724799	28.437557	17.7813484	1982-1999 –> 2000-2009	5.8955903	3.0817012	33288.42216	71.678758	2	9
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	2834	2.9597459	14202.9097187	15.606946	17.2157422	1982-1999 –> 2000-2009	6.0165779	3.0568320	33509.21418	46.627524	5	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2834	3.2081242	14661.6541961	25.674332	13.6101671	1982-1999 –> 2000-2009	6.2656442	3.0575200	33971.67075	96.297520	9	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2834	3.2262885	14691.6556840	20.967206	13.2713357	1982-1999 –> 2000-2009	6.2846067	3.0583182	34001.65804	86.125193	10	16
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	2834	3.0303263	14336.4867956	12.897021	17.6678112	1982-1999 –> 2000-2009	6.3148837	3.2845574	34189.44763	43.275691	6	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2834	3.0403381	14357.1822568	163.286595	13.0461726	1982-1999 –> 2000-2009	6.4938971	3.4535591	34593.86226	403.716917	7	16
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	2834	3.0472143	14367.9869843	15.598023	12.9691321	1982-1999 –> 2000-2009	6.5127315	3.4655172	34628.96458	44.026491	8	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2585	3.8110375	14266.8627437	197.823091	56.1615797	2000-2009 –> 2010-2019	6.6126216	2.8015842	28162.49512	389.116421	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2585	3.8176438	14273.8170888	128.610077	56.5172648	2000-2009 –> 2010-2019	6.7269671	2.9093233	28381.33414	259.875777	3	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2585	3.8583732	14328.6822411	40.895961	48.1571356	2000-2009 –> 2010-2019	6.7933116	2.9349384	28485.88472	70.932232	5	9
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	2585	3.8591843	14327.7688633	26.078525	47.4271527	2000-2009 –> 2010-2019	6.8189301	2.9597459	28530.67858	41.685471	6	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2585	4.1940645	14759.9876711	42.444660	31.7622061	2000-2009 –> 2010-2019	7.0079536	2.8138891	28678.46015	70.882217	8	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2585	3.8156502	14271.1164662	36.762730	57.1243575	2000-2009 –> 2010-2019	7.0237744	3.2081242	28932.77066	62.437062	2	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2585	3.8469880	14311.4041129	32.560794	60.6044579	2000-2009 –> 2010-2019	7.0732765	3.2262885	29003.05980	53.528000	4	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	2585	4.2606327	14839.4015401	26.156930	24.3647043	2000-2009 –> 2010-2019	7.2909589	3.0303263	29175.88834	39.053951	9	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2585	4.2821877	14867.4912360	197.534039	31.6026716	2000-2009 –> 2010-2019	7.3225258	3.0403381	29224.67349	360.820634	10	17
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	2585	4.4482486	15062.1911979	30.141112	22.4730935	2000-2009 –> 2010-2019	7.4954629	3.0472143	29430.17818	45.739134	18	26
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3833	3.5444556	20592.0209669	153.491196	23.6320666	1982-1999 –> 2000-2009	6.4597089	2.9152533	47804.66836	336.489206	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3833	3.5455465	20592.3800184	123.241676	23.8301989	1982-1999 –> 2000-2009	6.4764087	2.9308622	47861.38206	269.746286	2	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3833	3.6269748	20766.4488058	27.327529	31.7619411	1982-1999 –> 2000-2009	6.5468535	2.9198787	47994.42089	48.247408	5	7
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	3833	3.5724409	20650.3103283	20.940672	27.2532850	1982-1999 –> 2000-2009	6.5606949	2.9882540	48131.23492	47.098166	3	8
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	3833	3.6345114	20780.3616450	11.927905	32.2478952	1982-1999 –> 2000-2009	6.5657567	2.9312454	48048.79224	26.488150	6	10
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	3833	3.5792110	20662.8243077	15.944498	27.9547754	1982-1999 –> 2000-2009	6.5683923	2.9891813	48145.13941	40.922728	4	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3833	3.6773050	20872.0958322	25.970306	17.4807374	1982-1999 –> 2000-2009	6.7386645	3.0613595	48617.14824	46.154638	10	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3833	3.6356366	20784.7345942	127.870607	20.3693967	1982-1999 –> 2000-2009	6.8031754	3.1675388	48902.38587	285.877217	7	18
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + temp + nitrate	3833	3.6697351	20854.2986658	18.222999	33.5230469	1982-1999 –> 2000-2009	6.8137570	3.1440219	48888.51399	37.720931	8	16
Atlantic	(27.5,27.75]	2	cstar_tref ~ sal + nitrate	3833	3.6717736	20856.5560296	2.317724	33.4923364	1982-1999 –> 2000-2009	6.8356706	3.1638970	48957.63575	5.366757	9	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3579	4.0305127	20148.2523908	143.843960	33.2274961	2000-2009 –> 2010-2019	7.5749683	3.5444556	40740.27336	297.335155	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3579	4.0305178	20146.2612981	22.023859	33.1652082	2000-2009 –> 2010-2019	7.6574925	3.6269748	40912.71010	49.351388	2	7
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	3579	4.1026996	20273.3182749	17.892456	27.8101408	2000-2009 –> 2010-2019	7.6751405	3.5724409	40923.62860	38.833128	3	6
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3579	4.1352455	20329.8773393	125.307794	31.3026810	2000-2009 –> 2010-2019	7.6807920	3.5455465	40922.25736	248.549470	4	6
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	3579	4.1493915	20352.3218764	15.165865	28.9111960	2000-2009 –> 2010-2019	7.7286025	3.5792110	41015.14618	31.110363	6	10
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	3579	4.1432441	20341.7092853	12.203273	33.7712403	2000-2009 –> 2010-2019	7.7777555	3.6345114	41122.07093	24.131179	5	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3579	4.1541893	20362.5935744	139.562941	26.8570119	2000-2009 –> 2010-2019	7.7898258	3.6356366	41147.32817	267.433548	7	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	3579	4.2096188	20455.4714579	16.699706	22.4029208	2000-2009 –> 2010-2019	7.9302790	3.7206602	41415.42028	34.725230	11	23
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	3579	4.1558013	20363.3707466	19.658102	27.9101770	2000-2009 –> 2010-2019	7.9773675	3.8215662	41528.45560	38.106615	8	22
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	3579	4.1661276	20381.1346782	123.689305	27.8673081	2000-2009 –> 2010-2019	8.0048642	3.8387366	41580.58606	245.738788	9	24
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2432	3.7632948	13361.9512270	103.655140	24.0738197	1982-1999 –> 2000-2009	6.3106250	2.5473302	29251.22169	188.653383	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2432	3.8858812	13515.8663835	102.777443	31.1917650	1982-1999 –> 2000-2009	6.4653387	2.5794575	29487.66133	187.631384	3	6
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2432	3.8240587	13437.8602310	42.747654	26.4309581	1982-1999 –> 2000-2009	6.4692614	2.6452027	29579.39229	69.214959	2	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2432	3.9056301	13540.5236288	103.109426	30.2267241	1982-1999 –> 2000-2009	6.4810588	2.5754287	29501.77698	186.757623	4	6
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	2432	3.9057204	13538.6361498	102.687167	30.3564993	1982-1999 –> 2000-2009	6.4867587	2.5810383	29512.56291	181.517353	5	9
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	2432	3.9368747	13577.2803256	12.370106	33.1557495	1982-1999 –> 2000-2009	6.6115857	2.6747110	29791.62767	27.175684	6	12
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate_star	2432	3.9652666	13612.2325433	7.853861	32.6287813	1982-1999 –> 2000-2009	6.6661599	2.7008933	29892.27492	18.786399	7	14
Atlantic	(27.75,27.85]	2	cstar_tref ~ nitrate + phosphate_star	2432	3.9658600	13610.9603309	2.737343	32.3239363	1982-1999 –> 2000-2009	6.6684044	2.7025445	29893.12433	5.427720	8	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2432	4.3739683	14091.3792264	35.128679	28.3991606	1982-1999 –> 2000-2009	7.3573361	2.9833678	31044.24872	73.165782	9	18
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2432	4.3754612	14091.0390703	16.658118	29.0383662	1982-1999 –> 2000-2009	7.3588456	2.9833844	31041.94605	45.853926	10	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2443	3.1539815	12559.3139165	127.202925	19.2190098	2000-2009 –> 2010-2019	6.9172763	3.7632948	25921.26514	230.858065	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2443	3.3168730	12803.3574369	123.918581	23.2956143	2000-2009 –> 2010-2019	7.2027542	3.8858812	26319.22382	226.696024	2	5
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2443	3.4106342	12939.5585236	125.881296	20.3503793	2000-2009 –> 2010-2019	7.3162643	3.9056301	26480.08215	228.990722	3	7
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	2443	3.4197288	12950.5699201	123.017492	21.3304596	2000-2009 –> 2010-2019	7.3254492	3.9057204	26489.20607	225.704659	4	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2443	3.6021531	13206.4978439	35.568607	12.9669594	2000-2009 –> 2010-2019	7.4262118	3.8240587	26644.35807	78.316261	5	7
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	2443	3.6956188	13329.6588951	13.472517	22.7254349	2000-2009 –> 2010-2019	7.6324936	3.9368747	26906.93922	25.842623	6	12
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate_star	2443	3.8086206	13476.8205803	8.493960	16.5696973	2000-2009 –> 2010-2019	7.7738872	3.9652666	27089.05312	16.347821	7	14
Atlantic	(27.75,27.85]	2	cstar_tref ~ nitrate + phosphate_star	2443	3.8515275	13529.5572157	3.566792	16.1058808	2000-2009 –> 2010-2019	7.8173874	3.9658600	27140.51755	6.304135	8	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2443	5.1389602	14942.5865110	35.282414	14.7088369	2000-2009 –> 2010-2019	9.5129285	4.3739683	29033.96574	70.411093	9	18
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	2443	5.1408832	14942.4144724	34.335989	14.5277568	2000-2009 –> 2010-2019	9.5290553	4.3881721	29047.56320	59.041308	10	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7870	4.4923437	45995.4680277	65.955006	32.3610785	1982-1999 –> 2000-2009	7.3422883	2.8499445	94471.04591	113.530545	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7870	4.5298217	46124.2363551	58.862260	32.4836279	1982-1999 –> 2000-2009	7.4059260	2.8761043	94777.35991	92.283297	2	4
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7870	4.6065666	46388.6719324	63.668733	32.4851022	1982-1999 –> 2000-2009	7.5686281	2.9620615	95620.46397	109.716229	3	6
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	7870	4.7102388	46736.9781836	52.172913	32.2263314	1982-1999 –> 2000-2009	7.8053251	3.0950863	96830.00083	85.108936	5	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7870	4.6211965	46438.5810845	24.940924	28.7655514	1982-1999 –> 2000-2009	8.0102167	3.3890202	98316.35111	34.552082	4	11
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	7870	4.7485752	46864.5668702	3.013789	33.0418225	1982-1999 –> 2000-2009	8.2521033	3.5035280	99393.29887	10.196226	6	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	7870	5.1413975	48117.5869197	31.725360	26.4102502	1982-1999 –> 2000-2009	8.2817074	3.1403099	98497.64634	70.943988	9	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	7870	5.1423244	48118.4241400	12.298936	26.3142951	1982-1999 –> 2000-2009	8.3380512	3.1957268	98840.22212	33.485535	10	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	7870	4.8059841	47053.7178413	4.680399	35.4583343	1982-1999 –> 2000-2009	8.4068874	3.6009033	100121.13992	12.282704	7	19
Atlantic	(27.85,27.95]	2	cstar_tref ~ nitrate + phosphate_star	7870	4.8219404	47103.8892352	1.917877	36.2419509	1982-1999 –> 2000-2009	8.4411160	3.6191757	100268.77081	3.232131	8	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6186	4.6572440	36602.4875958	79.660660	37.0327759	2000-2009 –> 2010-2019	9.1495878	4.4923437	82597.95562	145.615666	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6186	4.8708468	37155.2967315	71.653987	38.2349659	2000-2009 –> 2010-2019	9.4006685	4.5298217	83279.53309	130.516247	2	4
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6186	4.9247915	37291.5636522	78.629767	38.8759880	2000-2009 –> 2010-2019	9.5313581	4.6065666	83680.23558	142.298500	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	6186	4.9465222	37346.0350751	10.029395	36.2774622	2000-2009 –> 2010-2019	9.5677187	4.6211965	83784.61616	34.970320	5	9
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	6186	4.9414699	37331.3922288	69.602642	38.9485894	2000-2009 –> 2010-2019	9.6517087	4.7102388	84068.37041	121.775555	4	9
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	6186	5.2850779	38163.0939852	6.275906	36.0696002	2000-2009 –> 2010-2019	10.0910621	4.8059841	85216.81183	10.956305	6	13
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	6186	5.3931089	38413.4370240	4.449699	34.5523659	2000-2009 –> 2010-2019	10.1416841	4.7485752	85278.00389	7.463488	7	13
Atlantic	(27.85,27.95]	2	cstar_tref ~ nitrate + phosphate_star	6186	5.4129986	38456.9807568	1.994085	35.0761327	2000-2009 –> 2010-2019	10.2349389	4.8219404	85560.86999	3.911962	8	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6186	6.0013607	39737.5612199	10.290531	36.9517800	2000-2009 –> 2010-2019	11.2105517	5.2091910	88061.33628	36.571224	9	23
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	6186	6.5010480	40727.0387398	42.787404	127.1961479	2000-2009 –> 2010-2019	11.6424456	5.1413975	88844.62566	74.512763	11	20
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6329	2.0539983	27086.0041214	201.912729	12.3224654	1982-1999 –> 2000-2009	3.8740147	1.8200164	63403.97488	448.324006	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6329	2.0543486	27086.1625103	152.652448	12.0844657	1982-1999 –> 2000-2009	3.9627564	1.9084078	64255.38176	385.164598	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6329	2.1849223	27866.1670735	104.947391	9.4533314	1982-1999 –> 2000-2009	4.3240596	2.1391373	67088.87286	200.124783	3	6
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	6329	3.0174197	31950.4451310	53.191880	29.0480567	1982-1999 –> 2000-2009	5.1820409	2.1646213	71384.22670	147.360474	5	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	6329	3.0167589	31949.6729114	41.714450	25.3441139	1982-1999 –> 2000-2009	5.6721800	2.6554211	75062.26071	65.269658	4	10
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	6329	3.2147720	32752.3848629	3.961627	32.7069091	1982-1999 –> 2000-2009	5.8707426	2.6559706	75866.69521	11.166780	7	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	6329	3.1750186	32594.8820260	3.334860	31.0658993	1982-1999 –> 2000-2009	5.8849520	2.7099334	76071.08166	24.920086	6	15
Atlantic	(27.95,28.05]	2	cstar_tref ~ nitrate + phosphate_star	6329	3.2326994	32820.7770836	2.311261	33.4056553	1982-1999 –> 2000-2009	5.9435222	2.7108228	76300.88098	3.608973	8	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	6329	4.0756395	35757.7642717	67.189705	24.6131181	1982-1999 –> 2000-2009	6.7173862	2.6417467	78777.46046	213.981738	10	15
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	6329	4.1014526	35835.6809465	17.246548	24.9157481	1982-1999 –> 2000-2009	6.8029909	2.7015383	79256.05695	69.767872	12	20
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4623	2.7469946	22476.6576076	295.415510	11.9091220	2000-2009 –> 2010-2019	4.8009929	2.0539983	49562.66173	497.328239	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4623	2.7601157	22518.7162222	208.751622	10.9516538	2000-2009 –> 2010-2019	4.8144643	2.0543486	49604.87873	361.404070	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4623	2.8626208	22855.8712788	123.712870	11.4660902	2000-2009 –> 2010-2019	5.0475431	2.1849223	50722.03835	228.660261	3	6
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	4623	3.1005176	23591.9931825	76.164295	20.6447883	2000-2009 –> 2010-2019	6.1179372	3.0174197	55542.43831	129.356175	4	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4623	3.4427524	24562.0697659	19.976573	24.9494006	2000-2009 –> 2010-2019	6.4595113	3.0167589	56511.74268	61.691024	5	9
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	4623	3.5663130	24886.0931914	4.010835	32.1930117	2000-2009 –> 2010-2019	6.7810850	3.2147720	57638.47805	7.972462	6	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	4623	3.6125553	25005.2100285	3.483314	33.3090447	2000-2009 –> 2010-2019	6.7875738	3.1750186	57600.09205	6.818174	7	13
Atlantic	(27.95,28.05]	2	cstar_tref ~ nitrate + phosphate_star	4623	3.6215872	25026.2976625	2.804055	32.8294231	2000-2009 –> 2010-2019	6.8542866	3.2326994	57847.07475	5.115316	8	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4623	4.0277303	26013.0607761	18.601230	37.6987386	2000-2009 –> 2010-2019	7.7999768	3.7722465	60791.64054	57.927371	9	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	4623	4.3258720	26671.3244104	3.142607	40.6283644	2000-2009 –> 2010-2019	8.4858483	4.1599762	62686.34583	6.301245	10	25
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2657	1.9083280	10988.2920622	240.746044	10.9088186	1982-1999 –> 2000-2009	3.3814992	1.4731712	26305.73925	453.990128	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2657	1.9359833	11062.7492777	202.341737	10.4430819	1982-1999 –> 2000-2009	3.4691340	1.5331507	26716.29331	406.959448	2	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2657	2.0586811	11389.2954943	67.185463	14.3704971	1982-1999 –> 2000-2009	3.5547958	1.4961148	26835.67098	133.828850	5	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2657	2.0256364	11303.3066190	166.827192	11.3644769	1982-1999 –> 2000-2009	3.5576360	1.5319996	26950.48714	311.778358	3	8
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	2657	2.0256374	11301.3090489	66.746141	11.3683515	1982-1999 –> 2000-2009	3.5703470	1.5447096	27016.48630	201.035226	4	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	2657	2.1719115	11671.8184119	18.702680	14.8019033	1982-1999 –> 2000-2009	3.7207303	1.5488188	27409.50304	43.393825	7	20
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	2657	2.0807122	11443.8615303	29.032242	13.7128146	1982-1999 –> 2000-2009	3.7238286	1.6431165	27682.25921	70.362349	6	23
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2657	2.3606461	12116.6218738	103.146536	18.2457054	1982-1999 –> 2000-2009	3.8367699	1.4761238	27449.03183	165.624787	9	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	2657	2.3621967	12118.1112948	33.159447	18.3441750	1982-1999 –> 2000-2009	3.8961505	1.5339538	27774.09162	64.293317	10	18
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + phosphate_star	2657	2.4082149	12220.6382872	103.128061	20.1505222	1982-1999 –> 2000-2009	3.9555369	1.5473220	27950.13140	165.176332	12	24
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2675	1.8131347	10788.8773441	241.929843	18.1708198	2000-2009 –> 2010-2019	3.7214627	1.9083280	21777.16941	482.675887	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2675	1.9205450	11094.7792448	240.914908	20.1921057	2000-2009 –> 2010-2019	3.8565282	1.9359833	22157.52852	443.256645	3	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2675	1.8498758	10894.2052518	53.299272	21.4173391	2000-2009 –> 2010-2019	3.9085569	2.0586811	22283.50075	120.484735	2	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2675	1.9479194	11170.4968835	143.473051	22.1111532	2000-2009 –> 2010-2019	3.9735558	2.0256364	22473.80350	310.300243	4	7
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	2675	1.9733798	11237.9713622	104.373833	22.2528400	2000-2009 –> 2010-2019	3.9990172	2.0256374	22539.28041	171.119975	7	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	2675	1.9503911	11175.2813103	39.235140	21.4332850	2000-2009 –> 2010-2019	4.0311033	2.0807122	22619.14284	68.267382	5	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	2675	1.9975913	11303.2112938	21.643851	25.7268410	2000-2009 –> 2010-2019	4.1695027	2.1719115	22975.02971	40.346531	9	16
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2675	1.9694502	11229.3072160	81.361029	27.3635830	2000-2009 –> 2010-2019	4.3300963	2.3606461	23345.92909	184.507565	6	15
Atlantic	(28.05,28.1]	2	cstar_tref ~ aou + nitrate	2675	2.0003047	11308.4734718	4.995259	26.8666536	2000-2009 –> 2010-2019	4.3398299	2.3395252	23373.33662	8.333663	10	18
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	2675	2.0217584	11367.5479547	28.694736	27.5800695	2000-2009 –> 2010-2019	4.3839551	2.3621967	23485.65925	61.854183	12	22
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2691	1.1149942	8236.5537911	687.815532	4.4617795	1982-1999 –> 2000-2009	2.4048159	1.2898216	22762.64682	1298.115297	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2691	1.1290484	8301.9681820	228.784812	4.4919829	1982-1999 –> 2000-2009	2.4281362	1.2990878	22888.13864	478.781734	3	7
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	2691	1.1184259	8251.0925295	43.441995	4.3310312	1982-1999 –> 2000-2009	2.4702432	1.3518173	23182.30062	100.646924	2	11
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	2691	1.1334467	8320.8935548	11.536342	4.5566900	1982-1999 –> 2000-2009	2.5070783	1.3736316	23388.92465	46.306951	4	18
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2691	1.2119423	8683.2780379	66.818600	6.2391564	1982-1999 –> 2000-2009	2.5096506	1.2977084	23260.23536	160.097273	6	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2691	1.1896988	8583.5812798	386.916611	4.9914468	1982-1999 –> 2000-2009	2.5315575	1.3418588	23450.66796	876.595786	5	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + phosphate_star	2691	1.2323384	8771.0995568	37.715780	6.0984916	1982-1999 –> 2000-2009	2.5325867	1.3002484	23363.01398	101.485149	8	13
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	2691	1.2124055	8683.3346685	32.503184	4.9938728	1982-1999 –> 2000-2009	2.5704113	1.3580058	23652.15164	153.095317	7	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	2691	1.2838711	8991.5805033	11.100217	5.5161637	1982-1999 –> 2000-2009	2.6522547	1.3683836	24026.41648	40.271427	9	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2691	1.3937985	9435.7274654	47.314737	8.4509316	1982-1999 –> 2000-2009	2.6852533	1.2914548	23970.79433	111.976128	10	12
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2931	1.4334897	10442.7930883	517.352435	12.4491703	2000-2009 –> 2010-2019	2.5484839	1.1149942	18679.34688	1205.167967	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2931	1.4696388	10586.7855003	246.879826	9.2985797	2000-2009 –> 2010-2019	2.5986872	1.1290484	18888.75368	475.664638	4	7
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	2931	1.5124217	10754.9981984	42.313172	5.6014379	2000-2009 –> 2010-2019	2.6308475	1.1184259	19006.09073	85.755167	7	9
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	2931	1.5128446	10754.6371200	25.524789	5.5733538	2000-2009 –> 2010-2019	2.6462913	1.1334467	19075.53067	37.061131	8	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2931	1.4507436	10510.9285519	74.609827	8.5310975	2000-2009 –> 2010-2019	2.6626858	1.2119423	19194.20659	141.428427	3	9
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + phosphate_star	2931	1.4704257	10587.9232817	44.382914	8.5950154	2000-2009 –> 2010-2019	2.7027641	1.2323384	19359.02284	82.098694	5	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2931	1.5440940	10876.4894048	312.225376	11.5432926	2000-2009 –> 2010-2019	2.7337928	1.1896988	19460.07068	699.141987	9	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	2931	1.5783974	11003.2932936	91.160196	8.3573070	2000-2009 –> 2010-2019	2.7908029	1.2124055	19686.62796	123.663380	12	19
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2931	1.4336435	10441.4222333	49.998033	12.8474688	2000-2009 –> 2010-2019	2.8274420	1.3937985	19877.14970	97.312770	2	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	2931	1.5519109	10904.0905943	23.520039	8.8986119	2000-2009 –> 2010-2019	2.8357821	1.2838711	19895.67110	34.620257	11	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1875	0.4692802	2495.9375368	35.520663	2.8133254	1982-1999 –> 2000-2009	0.8293728	0.3600925	4244.41088	56.656305	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1875	0.4861946	2628.7205064	142.359555	3.2620448	1982-1999 –> 2000-2009	0.8538923	0.3676977	4468.48551	194.072531	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1875	0.4900109	2658.0410114	59.943176	3.2063271	1982-1999 –> 2000-2009	0.8682547	0.3782437	4621.32286	92.916921	3	6
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	1875	0.4902047	2657.5240056	49.138508	3.1685930	1982-1999 –> 2000-2009	0.8714086	0.3812038	4652.85645	75.658657	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	1875	0.5911240	3359.5336777	29.269051	3.2389199	1982-1999 –> 2000-2009	1.0231615	0.4320375	5901.64429	40.686165	6	14
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1875	0.5650749	3192.5306915	26.542366	3.8255453	1982-1999 –> 2000-2009	1.0265453	0.4614704	6024.51661	49.342920	5	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	1875	0.6507583	3719.9558737	10.085090	4.6047730	1982-1999 –> 2000-2009	1.0636200	0.4128617	6063.76045	15.679393	7	12
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	1875	0.6507852	3720.1110553	115.222932	4.5893506	1982-1999 –> 2000-2009	1.0673540	0.4165687	6102.96015	137.722861	8	14
Atlantic	(28.15,28.2]	2	cstar_tref ~ aou + nitrate	1875	0.6508239	3718.3339605	2.940899	4.5944921	1982-1999 –> 2000-2009	1.0831961	0.4323722	6261.82719	4.531741	9	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	1875	0.6586980	3765.4312778	25.870882	4.6162394	1982-1999 –> 2000-2009	1.0884868	0.4297889	6284.74820	39.749074	10	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1484	0.5109319	2230.3410354	15.216992	1.7374349	2000-2009 –> 2010-2019	0.9802121	0.4692802	4726.27857	50.737655	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1484	0.5257119	2314.9796448	47.912953	1.9500491	2000-2009 –> 2010-2019	1.0119064	0.4861946	4943.70015	190.272508	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1484	0.5360551	2372.8070554	37.536168	1.9605347	2000-2009 –> 2010-2019	1.0260660	0.4900109	5030.84807	97.479344	3	6
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	1484	0.5362838	2372.0729193	26.624604	1.9900975	2000-2009 –> 2010-2019	1.0264885	0.4902047	5029.59692	75.763111	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	1484	0.5383293	2383.3720830	10.327095	2.3634437	2000-2009 –> 2010-2019	1.1294532	0.5911240	5742.90576	39.596147	5	11
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1484	0.6486907	2938.8611992	15.910615	3.4436991	2000-2009 –> 2010-2019	1.2137655	0.5650749	6131.39189	42.452980	14	19
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	1484	0.6001520	2706.0307358	33.088755	2.4530978	2000-2009 –> 2010-2019	1.2509372	0.6507852	6426.14179	148.311687	8	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	1484	0.6113067	2760.6889514	5.677037	2.5077329	2000-2009 –> 2010-2019	1.2620650	0.6507583	6480.64483	15.762127	9	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	1484	0.6155878	2781.4023799	21.464866	2.6095910	2000-2009 –> 2010-2019	1.2742858	0.6586980	6546.83366	47.335749	10	20
Atlantic	(28.15,28.2]	2	cstar_tref ~ aou + nitrate	1484	0.6402467	2895.9730862	2.249552	2.8949144	2000-2009 –> 2010-2019	1.2910706	0.6508239	6614.30705	5.190451	13	22
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3027	0.3719894	2617.5149054	250.489357	2.5732957	1982-1999 –> 2000-2009	0.6033159	0.2313265	2342.52025	512.547060	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3027	0.4287818	3475.6839757	242.416427	4.8559194	1982-1999 –> 2000-2009	0.6666437	0.2378619	3377.66372	483.515572	2	7
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3027	0.5642495	5137.7991430	88.410382	5.1236942	1982-1999 –> 2000-2009	0.7970698	0.2328203	4902.15510	136.089699	7	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3027	0.4321880	3523.5863040	163.528247	2.7504523	1982-1999 –> 2000-2009	0.7981436	0.3659555	6193.16362	267.513933	3	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	3027	0.5812029	5315.0186759	2.153085	4.8510280	1982-1999 –> 2000-2009	0.8193249	0.2381220	5222.01798	3.860838	8	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3027	0.6017537	5527.3843402	101.252585	5.5425680	1982-1999 –> 2000-2009	0.8356460	0.2338924	5321.25275	158.520951	9	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	3027	0.6060676	5568.6306294	84.598497	5.6582244	1982-1999 –> 2000-2009	0.8409163	0.2348487	5386.71130	132.263093	10	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + phosphate_star	3027	0.6306239	5809.0837280	82.721145	5.3330723	1982-1999 –> 2000-2009	0.8692546	0.2386306	5729.79141	107.665395	12	19
Atlantic	(28.2, Inf]	2	cstar_tref ~ aou + phosphate_star	3027	0.6312978	5813.5500634	1.917785	5.3766712	1982-1999 –> 2000-2009	0.8709177	0.2396198	5758.83153	3.155498	13	21
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	3027	0.4825121	4190.4056910	122.993267	4.8417836	1982-1999 –> 2000-2009	0.9353390	0.4528269	8228.28332	202.978668	4	14
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1525	0.2224481	-242.5744688	252.233591	2.6713336	2000-2009 –> 2010-2019	0.5944376	0.3719894	2374.94044	502.722949	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1525	0.2233237	-232.5935822	208.484171	2.6468596	2000-2009 –> 2010-2019	0.6521055	0.4287818	3243.09039	450.900598	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1525	0.2403173	-8.9124671	23.408441	2.5876399	2000-2009 –> 2010-2019	0.8045668	0.5642495	5128.88668	111.818822	3	10
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	1525	0.2411420	-0.4633911	2.410980	2.6063914	2000-2009 –> 2010-2019	0.8223450	0.5812029	5314.55528	4.564065	4	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1525	0.2629197	265.2476106	26.116405	2.2152950	2000-2009 –> 2010-2019	0.8646734	0.6017537	5792.63195	127.368991	5	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + phosphate_star	1525	0.2661102	300.0354774	15.773386	2.2112278	2000-2009 –> 2010-2019	0.8967341	0.6306239	6109.11921	98.494531	6	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1525	0.4784232	2091.1204927	63.525743	2.2010519	2000-2009 –> 2010-2019	0.9106112	0.4321880	5614.70680	227.053989	11	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	1525	0.4295303	1762.3200641	39.357615	1.8851739	2000-2009 –> 2010-2019	0.9120423	0.4825121	5952.72576	162.350882	9	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + nitrate	1525	0.4295503	1760.4626711	3.356635	1.8804013	2000-2009 –> 2010-2019	0.9148609	0.4853106	5983.87922	7.533078	10	15
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	1525	0.3175682	839.2215135	22.498048	3.1227545	2000-2009 –> 2010-2019	0.9236359	0.6060676	6407.85214	107.096546	7	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4291	8.3906461	30446.2531388	69.007894	124.7122586	1982-1999 –> 2000-2009	18.1496366	9.7589905	53522.93446	136.626021	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	4291	8.5797047	30635.4769439	34.338228	101.3449019	1982-1999 –> 2000-2009	18.6661728	10.0864681	53916.04826	77.971591	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4291	10.8486120	32649.1372496	68.973481	122.9958736	1982-1999 –> 2000-2009	21.7333260	10.8847140	56404.82389	136.522748	4	7
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	4291	10.8542250	32651.5764217	33.171094	118.3566579	1982-1999 –> 2000-2009	22.4143670	11.5601420	56780.81388	75.789171	5	9
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4291	11.6989684	33296.7652118	9.824745	45.1610923	1982-1999 –> 2000-2009	23.7169486	12.0179802	57670.29120	19.444292	6	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4291	10.8339003	32637.4914343	65.283909	168.7255769	1982-1999 –> 2000-2009	24.3511670	13.5172667	57744.38166	132.193754	3	10
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	4291	12.0334232	33536.6692783	64.755383	158.0530583	1982-1999 –> 2000-2009	25.5662501	13.5328269	58648.73615	131.142796	7	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4291	12.6376444	33959.1183387	14.164586	50.1853858	1982-1999 –> 2000-2009	26.1904840	13.5528396	59082.40334	27.386792	8	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	4291	13.4798717	34510.8082066	9.073359	42.8030198	1982-1999 –> 2000-2009	26.3478402	12.8679685	59308.62212	17.878290	13	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + aou	4291	12.9929396	34195.0636433	2.760825	60.4473865	1982-1999 –> 2000-2009	27.6404705	14.6475309	59800.88961	6.324268	9	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5555	9.1871029	40418.1722594	67.290561	116.7870025	2000-2009 –> 2010-2019	17.5777491	8.3906461	70864.42540	136.298455	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5555	9.1872383	40416.3359854	35.855122	117.4370608	2000-2009 –> 2010-2019	17.7669430	8.5797047	71051.81293	70.193350	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5555	10.7445571	42155.9834572	67.234052	125.2480733	2000-2009 –> 2010-2019	21.5931691	10.8486120	74805.12071	136.207533	3	7
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	5555	10.7515092	42161.1696431	35.522328	130.3310951	2000-2009 –> 2010-2019	21.6057342	10.8542250	74812.74606	68.693422	4	9
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5555	12.2591250	43621.0729604	64.929576	165.2086021	2000-2009 –> 2010-2019	23.0930253	10.8339003	76258.56439	130.213486	6	9
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5555	12.0207900	43402.9514436	9.521143	96.6934411	2000-2009 –> 2010-2019	23.7197584	11.6989684	76699.71666	19.345889	5	11
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	5555	12.5217832	43854.5964001	64.763394	162.8274162	2000-2009 –> 2010-2019	24.5552064	12.0334232	77391.26568	129.518777	7	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5555	13.0392746	44306.5085504	13.672591	90.1469385	2000-2009 –> 2010-2019	25.6769190	12.6376444	78265.62689	27.837178	8	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + phosphate_star	5555	13.5521330	44733.1104377	5.372566	52.6484673	2000-2009 –> 2010-2019	26.6427249	13.0905919	78992.43350	10.609171	10	20
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	5555	13.3463131	44563.0854055	9.406367	88.7637504	2000-2009 –> 2010-2019	26.8261848	13.4798717	79073.89361	18.479725	9	22
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3503	8.4862492	24937.0438432	26.152290	47.8338789	1982-1999 –> 2000-2009	16.6394882	8.1532390	49825.76998	48.678232	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3503	10.2834268	26280.8014521	26.125820	61.8878868	1982-1999 –> 2000-2009	19.0851952	8.8017684	51708.79990	48.640447	3	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3503	9.9296461	26035.5303502	24.513618	50.7492849	1982-1999 –> 2000-2009	19.2106616	9.2810155	51838.47436	41.599979	2	5
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	3503	11.5887311	27116.0157538	24.413504	65.3223928	1982-1999 –> 2000-2009	21.3642875	9.7755564	53284.09594	36.322859	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3503	11.6453968	27152.1896564	21.327065	39.6875363	1982-1999 –> 2000-2009	23.3019575	11.6565608	54566.82978	36.355257	5	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3503	12.6736732	27745.0085607	25.404101	46.4290538	1982-1999 –> 2000-2009	23.6359945	10.9623214	54725.39172	45.734879	8	13
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	3503	12.6753541	27743.9377034	24.679744	47.0761756	1982-1999 –> 2000-2009	24.2503153	11.5749613	55106.89758	44.710720	9	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3503	11.7628218	27222.4800529	25.888819	44.6180165	1982-1999 –> 2000-2009	24.3591811	12.5963593	55185.47353	46.610273	6	19
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate_star	3503	13.1793437	28017.1103735	12.110114	48.5961048	1982-1999 –> 2000-2009	24.6070100	11.4276664	55289.49939	19.780505	12	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + temp + phosphate_star	3503	12.0963449	27416.3641211	13.631606	45.1184750	1982-1999 –> 2000-2009	25.0383292	12.9419843	55568.78811	26.819914	7	22
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3222	10.1513816	24092.3175256	21.284911	55.7473489	2000-2009 –> 2010-2019	18.6376308	8.4862492	49029.36137	47.437202	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3222	12.0803107	25211.3615396	16.468905	62.8310025	2000-2009 –> 2010-2019	22.0099568	9.9296461	51246.89189	40.982523	3	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3222	11.9993597	25168.0345255	21.267984	75.9293396	2000-2009 –> 2010-2019	22.2827866	10.2834268	51448.83598	47.393803	2	5
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	3222	13.6260570	25985.2642723	12.979807	79.9939429	2000-2009 –> 2010-2019	25.2147881	11.5887311	53101.28003	37.393310	5	9
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3222	13.5730621	25962.1531910	14.248181	50.5993454	2000-2009 –> 2010-2019	25.2184589	11.6453968	53114.34285	35.575246	4	9
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3222	14.0563869	26187.6272949	21.211552	58.1945973	2000-2009 –> 2010-2019	25.8192087	11.7628218	53410.10735	47.100371	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + temp + phosphate_star	3222	14.0678561	26190.8830732	12.034286	49.5337713	2000-2009 –> 2010-2019	26.1642010	12.0963449	53607.24719	25.665893	7	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3222	14.4662348	26372.8306038	20.131085	66.6671629	2000-2009 –> 2010-2019	27.1399080	12.6736732	54117.83916	45.535186	8	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	3222	14.4745863	26374.5496963	19.426858	65.0643245	2000-2009 –> 2010-2019	27.1499404	12.6753541	54118.48740	44.106602	9	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	3222	14.9819475	26596.5553970	18.582099	49.6303060	2000-2009 –> 2010-2019	27.8760112	12.8940637	54460.34855	41.724210	10	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3262	8.1247815	22938.4054704	56.513290	37.6038981	1982-1999 –> 2000-2009	16.1064458	7.9816643	44879.85359	110.829683	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3262	8.2288394	23019.4308770	40.400654	38.7578839	1982-1999 –> 2000-2009	16.8166904	8.5878510	45417.99936	73.469761	2	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3262	8.4905028	23223.6531506	54.296505	37.6368598	1982-1999 –> 2000-2009	17.0656015	8.5750987	45612.90127	103.278908	5	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3262	8.5863419	23296.8822491	20.720540	36.5877430	1982-1999 –> 2000-2009	17.0687221	8.4823802	45617.94489	36.725979	7	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	3262	8.2743068	23055.3791728	31.926504	40.8929961	1982-1999 –> 2000-2009	17.1592299	8.8849230	45667.24124	59.673624	3	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + phosphate_star	3262	8.5699103	23282.3853722	31.563702	36.0266561	1982-1999 –> 2000-2009	17.2121529	8.6422426	45718.55261	58.744967	6	13
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + nitrate	3262	8.2943715	23069.1803463	29.601547	40.7556836	1982-1999 –> 2000-2009	17.2133612	8.9189896	45703.04454	54.805485	4	22
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	3262	8.5889352	23296.8524099	19.139936	36.3181668	1982-1999 –> 2000-2009	17.2520379	8.6631027	45748.14034	30.081785	8	16
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3262	9.1120372	23684.5613371	35.860507	33.8617714	1982-1999 –> 2000-2009	17.4417374	8.3297002	45891.70166	60.158720	14	16
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	3262	8.5936294	23300.4170103	19.741524	35.4853311	1982-1999 –> 2000-2009	17.4807522	8.8871229	45911.83176	34.024469	9	26
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2648	11.2290753	20337.1084798	55.103858	35.6215851	2000-2009 –> 2010-2019	19.3538568	8.1247815	43275.51395	111.617148	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2648	11.2445441	20342.3990545	28.795678	36.0065732	2000-2009 –> 2010-2019	19.4733835	8.2288394	43361.82993	69.196332	2	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2648	11.2527262	20346.2513198	22.745220	36.4638848	2000-2009 –> 2010-2019	19.5270330	8.2743068	43401.63049	54.671724	3	6
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + nitrate	2648	11.2529295	20344.3469889	20.992115	36.4425424	2000-2009 –> 2010-2019	19.5473010	8.2943715	43413.52734	50.593662	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2648	11.2747782	20356.6197489	13.479887	35.2646285	2000-2009 –> 2010-2019	19.8611201	8.5863419	43653.50200	34.200427	5	12
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	2648	11.2758262	20355.1119637	9.037459	35.0740570	2000-2009 –> 2010-2019	19.8647614	8.5889352	43651.96437	28.177395	7	15
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	2648	11.2750254	20354.7358298	11.036744	35.0990718	2000-2009 –> 2010-2019	19.8686547	8.5936294	43655.15284	30.778269	6	15
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ sal + nitrate	2648	11.2758266	20353.1121564	1.048538	35.0684213	2000-2009 –> 2010-2019	19.8703350	8.5945084	43652.19651	2.631859	8	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2648	11.5229056	20471.9063896	43.716864	35.9892288	2000-2009 –> 2010-2019	20.0134083	8.4905028	43695.55954	98.013369	9	14
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + aou	2648	11.5245650	20470.6690271	20.609012	35.7582878	2000-2009 –> 2010-2019	20.1718848	8.6473197	43811.71921	50.510979	11	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4020	6.2652552	26175.8211132	40.897200	24.3139304	1982-1999 –> 2000-2009	11.7795100	5.5142549	50781.10079	88.164721	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4020	6.2689060	26178.5047858	17.156090	24.0321880	1982-1999 –> 2000-2009	11.7832502	5.5143442	50781.91183	29.093711	3	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	4020	6.2656394	26174.3142227	24.506449	24.2876951	1982-1999 –> 2000-2009	11.7867225	5.5210831	50787.32820	56.113955	2	5
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	4020	6.2744873	26183.6596463	14.378101	23.6179648	1982-1999 –> 2000-2009	11.8004255	5.5259382	50801.58782	25.929276	4	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4020	6.3637620	26299.2483310	34.643487	23.1703547	1982-1999 –> 2000-2009	11.9143627	5.5506007	50954.20459	69.332733	5	10
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + temp + aou	4020	6.3638142	26297.3142176	17.424376	23.1616413	1982-1999 –> 2000-2009	11.9156030	5.5517888	50951.95414	42.242782	6	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	4020	6.3683414	26303.0318389	5.982382	23.4107064	1982-1999 –> 2000-2009	11.9346964	5.5663550	50978.28267	14.018213	7	14
Indo-Pacific	(26.75,27]	2	cstar_tref ~ sal + aou	4020	6.3715987	26305.1431261	1.070922	23.7094275	1982-1999 –> 2000-2009	11.9523588	5.5807600	50998.72388	2.072868	8	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4020	6.3996551	26344.4683319	17.814405	21.8815768	1982-1999 –> 2000-2009	11.9826424	5.5829873	51045.18778	33.874593	9	18
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	4020	6.4148536	26361.5398945	17.423850	21.4753433	1982-1999 –> 2000-2009	12.0006034	5.5857497	51064.15042	30.627619	12	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3855	7.0165482	25975.1884954	32.344884	26.2280976	2000-2009 –> 2010-2019	13.2818034	6.2652552	52151.00961	73.242083	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3855	7.0474383	26007.0569779	24.523648	27.6121873	2000-2009 –> 2010-2019	13.4112003	6.3637620	52306.30531	59.167135	2	7
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3855	7.1489904	26117.3635981	9.059009	24.6811593	2000-2009 –> 2010-2019	13.4178964	6.2689060	52295.86838	26.215099	5	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3855	7.0835747	26046.4897467	10.258544	26.0014243	2000-2009 –> 2010-2019	13.4832298	6.3996551	52390.95808	28.072949	3	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	3855	7.0900541	26051.5388863	7.883576	26.7228936	2000-2009 –> 2010-2019	13.5285941	6.4385400	52442.71119	18.671079	4	17
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3855	7.3621111	26343.8493893	19.114919	22.1645748	2000-2009 –> 2010-2019	13.6277506	6.2656394	52518.16361	43.621368	7	9
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	3855	7.3624701	26342.2253389	8.340254	22.0107559	2000-2009 –> 2010-2019	13.6369574	6.2744873	52525.88499	22.718355	8	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	3855	7.3109819	26288.1173098	4.538635	27.3959760	2000-2009 –> 2010-2019	13.6793233	6.3683414	52591.14915	10.521017	6	13
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + temp + aou	3855	7.4228196	26405.1658532	13.629745	22.7635977	2000-2009 –> 2010-2019	13.7866338	6.3638142	52702.48007	31.054121	9	15
Indo-Pacific	(26.75,27]	2	cstar_tref ~ sal + aou	3855	7.4410258	26422.0532598	1.006198	23.6591126	2000-2009 –> 2010-2019	13.8126245	6.3715987	52727.19639	2.077120	10	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5165	4.4832704	30170.2792170	34.976001	15.3840482	1982-1999 –> 2000-2009	8.0177673	3.5344969	57144.17575	79.742258	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5165	4.4846049	30171.3536760	21.570858	15.1587762	1982-1999 –> 2000-2009	8.0198141	3.5352092	57145.27615	30.864885	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5165	4.5135595	30237.8343282	18.257997	16.1061717	1982-1999 –> 2000-2009	8.0872416	3.5736821	57320.58109	43.972951	3	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5165	4.5276337	30269.9952923	27.439258	16.7915601	1982-1999 –> 2000-2009	8.0926454	3.5650117	57328.31964	40.993445	4	7
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	5165	4.5367756	30288.8318138	5.948652	16.9397879	1982-1999 –> 2000-2009	8.1201864	3.5834108	57396.91171	13.105461	5	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	5165	4.5380616	30291.7595962	2.355880	15.3732465	1982-1999 –> 2000-2009	8.1298942	3.5918326	57423.44090	6.309348	6	13
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5165	4.5435909	30306.3383941	15.727812	14.3985842	1982-1999 –> 2000-2009	8.1311579	3.5875669	57428.07242	37.356122	7	13
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	5165	4.5664346	30356.1440726	2.404158	15.1140098	1982-1999 –> 2000-2009	8.2291178	3.6626832	57684.21451	6.451269	8	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	5165	4.6929856	30638.5275207	21.238911	16.4057672	1982-1999 –> 2000-2009	8.3170648	3.6240791	57860.06821	29.440751	10	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate_star	5165	4.6749813	30598.8208855	5.537990	16.3943882	1982-1999 –> 2000-2009	8.3751855	3.7002043	58029.36212	12.351145	9	19
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4817	4.9633522	29118.5055691	27.886361	16.0614588	2000-2009 –> 2010-2019	9.4466225	4.4832704	59288.78479	62.862363	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4817	4.9678248	29125.1831181	12.014857	16.4416387	2000-2009 –> 2010-2019	9.4524297	4.4846049	59296.53679	33.585715	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4817	4.9716487	29132.5959985	16.919584	16.6274256	2000-2009 –> 2010-2019	9.4992824	4.5276337	59402.59129	44.358842	3	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4817	4.9989843	29185.4213848	13.937076	15.3566305	2000-2009 –> 2010-2019	9.5425752	4.5435909	59491.75978	29.664888	5	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4817	5.0727404	29326.5250913	17.544111	17.4866079	2000-2009 –> 2010-2019	9.5862999	4.5135595	59564.35942	35.802108	10	13
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	4817	5.0770681	29332.7406212	6.051255	17.1679411	2000-2009 –> 2010-2019	9.6138436	4.5367756	59621.57244	11.999907	11	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	4817	5.1012698	29378.5556607	2.621525	16.8239749	2000-2009 –> 2010-2019	9.6393314	4.5380616	59670.31526	4.977404	14	20
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	4817	5.0783270	29335.1292924	2.667626	16.5799818	2000-2009 –> 2010-2019	9.6447616	4.5664346	59691.27336	5.071784	12	20
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	4817	4.9720319	29131.3385372	11.735924	16.6120337	2000-2009 –> 2010-2019	9.6650176	4.6929856	59769.86606	32.974835	4	14
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate_star	4817	5.0488866	29279.1158945	5.430728	16.4795707	2000-2009 –> 2010-2019	9.7238679	4.6749813	59877.93678	10.968719	8	17
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6886	3.3207513	36084.6528580	69.381151	16.8581165	1982-1999 –> 2000-2009	6.3987170	3.0779657	67471.65960	115.457383	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	6886	3.3963890	36392.8222130	13.246943	15.9695513	1982-1999 –> 2000-2009	6.4941394	3.0977504	67856.86923	31.737788	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6886	3.4633135	36661.5552075	8.895125	15.9095663	1982-1999 –> 2000-2009	6.5802318	3.1169183	68201.69830	21.397327	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6886	3.4945200	36785.0931812	28.341811	16.0422068	1982-1999 –> 2000-2009	6.6274301	3.1329100	68388.36586	36.260126	4	8
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	6886	3.4987000	36799.5569605	2.459201	15.9380016	1982-1999 –> 2000-2009	6.6316425	3.1329425	68400.95737	5.742729	6	11
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	6886	3.4951568	36785.6024326	2.202283	16.1096081	1982-1999 –> 2000-2009	6.6322383	3.1370815	68403.28950	5.556535	5	11
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6886	3.5041763	36823.0965739	51.671092	15.0293146	1982-1999 –> 2000-2009	6.6464791	3.1423028	68463.29842	69.833559	7	14
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate_star	6886	3.6211551	37273.3354239	4.776587	17.3211443	1982-1999 –> 2000-2009	6.7704537	3.1492987	68938.97092	15.889371	8	16
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	6886	3.6334378	37317.9701282	1.745331	17.6645475	1982-1999 –> 2000-2009	6.7876723	3.1542345	69000.92434	4.574900	9	18
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	6886	3.7383095	37711.8422382	9.893237	12.2575966	1982-1999 –> 2000-2009	6.9773823	3.2390727	69724.20957	19.297912	14	24
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6263	3.5081668	33508.9266008	45.828726	13.7552146	2000-2009 –> 2010-2019	6.8289181	3.3207513	69593.57946	115.209877	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	6263	3.5319346	33591.5042777	13.571705	14.5313520	2000-2009 –> 2010-2019	6.9283236	3.3963890	69984.32649	26.818648	5	7
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6263	3.5139901	33527.7016828	8.090623	13.8688648	2000-2009 –> 2010-2019	6.9773036	3.4633135	70189.25689	16.985748	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6263	3.5088363	33509.3169297	13.282853	13.6389292	2000-2009 –> 2010-2019	7.0033563	3.4945200	70294.41011	41.624664	2	6
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	6263	3.5202458	33547.9809901	2.373834	13.6442493	2000-2009 –> 2010-2019	7.0189458	3.4987000	70347.53795	4.833035	4	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	6263	3.5510569	33657.1384969	2.175522	13.9962833	2000-2009 –> 2010-2019	7.0462137	3.4951568	70442.74093	4.377805	7	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6263	3.7125873	34216.3417668	30.675646	13.7945210	2000-2009 –> 2010-2019	7.2167636	3.5041763	71039.43834	82.346737	13	20
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate_star	6263	3.6077356	33855.4882817	5.370226	14.9611208	2000-2009 –> 2010-2019	7.2288907	3.6211551	71128.82371	10.146813	8	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	6263	3.5349266	33602.1106139	19.719845	14.7221263	2000-2009 –> 2010-2019	7.2375612	3.7026346	71183.89466	62.153627	6	16
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	6263	3.6222616	33903.8210741	1.755885	15.6841941	2000-2009 –> 2010-2019	7.2556994	3.6334378	71221.79120	3.501215	9	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7603	1.9221631	31526.7574917	123.447677	13.9134059	1982-1999 –> 2000-2009	4.0953579	2.1731949	62509.74888	165.152354	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7603	1.9415595	31677.4309862	5.145653	13.7123358	1982-1999 –> 2000-2009	4.1238890	2.1823295	62717.59883	10.319208	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7603	1.9862138	32023.1961892	5.072464	13.3604073	1982-1999 –> 2000-2009	4.2292112	2.2429974	63450.20817	10.629592	3	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7603	2.1421652	33172.5697834	122.448472	11.8857921	1982-1999 –> 2000-2009	4.3193137	2.1771485	64179.20426	164.128856	4	6
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	7603	2.1499153	33225.4839780	4.942654	11.7895231	1982-1999 –> 2000-2009	4.3360175	2.1861023	64288.02035	9.783590	5	9
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	7603	2.1823658	33453.2864453	4.849405	11.5038396	1982-1999 –> 2000-2009	4.4300187	2.2476529	64907.55023	10.046789	7	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	7603	2.1670186	33347.9743481	121.676609	15.5622412	1982-1999 –> 2000-2009	4.7926927	2.6256741	66997.34309	161.634029	6	13
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + aou	7603	2.1856747	33476.3246455	1.493668	15.3581773	1982-1999 –> 2000-2009	4.8286157	2.6429410	67216.16620	4.433048	8	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + nitrate	7603	2.2552606	33952.8953326	1.446729	14.9909846	1982-1999 –> 2000-2009	4.8936859	2.6384253	67668.61152	4.246677	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	7603	2.2976885	34236.3055202	120.022045	13.6395201	1982-1999 –> 2000-2009	4.9339090	2.6362205	67940.22739	159.736073	10	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7518	2.2174678	33323.3178316	90.214385	13.7224135	2000-2009 –> 2010-2019	4.1396309	1.9221631	64850.07532	213.662061	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7518	2.2272254	33387.3360984	6.145773	13.3448818	2000-2009 –> 2010-2019	4.1687849	1.9415595	65064.76708	11.291426	2	4
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7518	2.2537691	33565.4728083	6.477709	12.8970632	2000-2009 –> 2010-2019	4.2399829	1.9862138	65588.66900	11.550173	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7518	2.2808442	33745.0279328	90.111375	13.4955811	2000-2009 –> 2010-2019	4.4230094	2.1421652	66917.59772	212.559847	4	8
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	7518	2.2913482	33812.1144013	6.043343	12.0753465	2000-2009 –> 2010-2019	4.4412634	2.1499153	67037.59838	10.985997	5	10
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	7518	2.3194024	33995.0902303	6.376202	11.4982055	2000-2009 –> 2010-2019	4.5017682	2.1823658	67448.37668	11.225606	6	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	7518	2.4463312	34798.2062805	88.411570	13.5138588	2000-2009 –> 2010-2019	4.6133497	2.1670186	68146.18063	210.088179	7	13
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + aou	7518	2.4472736	34801.9976939	1.751081	13.6377672	2000-2009 –> 2010-2019	4.6329483	2.1856747	68278.32234	3.244749	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + nitrate	7518	2.4600495	34880.2881127	1.668551	12.9844566	2000-2009 –> 2010-2019	4.7153101	2.2552606	68833.18345	3.115279	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	7518	2.4810914	35008.3508921	88.177044	12.4890637	2000-2009 –> 2010-2019	4.7787798	2.2976885	69244.65641	208.199089	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3643	1.0340760	10596.5277119	805.920543	5.3879218	1982-1999 –> 2000-2009	2.3156189	1.2815429	21682.76338	1378.487218	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3643	1.0343757	10596.6386658	789.227038	5.3659637	1982-1999 –> 2000-2009	2.3159700	1.2815943	21681.14098	1320.383495	2	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3643	1.0400578	10636.5531233	106.608780	5.8108112	1982-1999 –> 2000-2009	2.3595220	1.3194642	21914.47647	198.732219	3	8
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3643	1.0401331	10635.0806626	105.320141	5.7540000	1982-1999 –> 2000-2009	2.3607264	1.3205933	21916.68505	194.443183	4	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3643	1.1149814	11143.3775383	3.598364	5.5948840	1982-1999 –> 2000-2009	2.4223671	1.3073857	22360.21938	11.484981	5	8
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	3643	1.1184588	11164.0659595	1.858414	5.5228772	1982-1999 –> 2000-2009	2.4285496	1.3100908	22392.63635	4.283506	6	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3643	1.1586517	11423.3005573	3.644599	5.6147253	1982-1999 –> 2000-2009	2.4980255	1.3393738	22800.69726	11.655093	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	3643	1.1630602	11448.9701635	1.880159	5.5309397	1982-1999 –> 2000-2009	2.5075204	1.3444603	22849.54296	4.336389	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3643	1.6239537	13883.1031197	506.386874	11.6215636	1982-1999 –> 2000-2009	3.3854705	1.7615168	27080.22898	915.325400	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	3643	1.7753293	14530.4475717	2.955909	12.4509338	1982-1999 –> 2000-2009	3.6788110	1.9034817	28240.39110	9.983768	10	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3950	1.1891162	12591.9762044	986.371787	13.1095629	2000-2009 –> 2010-2019	2.2231923	1.0340760	23188.50392	1792.292330	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3950	1.1896546	12593.5524722	959.686678	13.1307051	2000-2009 –> 2010-2019	2.2240303	1.0343757	23190.19114	1748.913716	2	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3950	1.1900989	12596.5022617	151.354876	12.5650085	2000-2009 –> 2010-2019	2.2301567	1.0400578	23233.05538	257.963656	3	6
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3950	1.1905188	12597.2887841	144.556599	12.6155355	2000-2009 –> 2010-2019	2.2306519	1.0401331	23232.36945	249.876740	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3950	1.2959074	13269.3821635	4.302753	8.0966377	2000-2009 –> 2010-2019	2.4108887	1.1149814	24412.75970	7.901117	5	10
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	3950	1.2970953	13274.6206798	2.201871	7.9670343	2000-2009 –> 2010-2019	2.4155541	1.1184588	24438.68664	4.060285	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3950	1.3297534	13473.0631263	4.361295	7.3015146	2000-2009 –> 2010-2019	2.4884051	1.1586517	24896.36368	8.005894	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	3950	1.3312433	13479.9097911	2.136871	7.1613436	2000-2009 –> 2010-2019	2.4943035	1.1630602	24928.87995	4.017030	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3950	1.6320147	15091.1550417	650.731609	17.2436465	2000-2009 –> 2010-2019	3.2559684	1.6239537	28974.25816	1157.118483	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	3950	1.6755546	15297.1536231	3.789398	15.0200606	2000-2009 –> 2010-2019	3.4508839	1.7753293	29827.60119	6.745307	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4823	0.9903514	13607.5589505	487.068397	10.1973325	1982-1999 –> 2000-2009	2.1614685	1.1711171	26984.18099	882.954454	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4823	0.9966480	13666.6929366	5.024570	9.8174058	1982-1999 –> 2000-2009	2.1687282	1.1720802	27048.28113	12.013890	3	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4823	1.0048829	13746.0667620	484.115078	10.3764190	1982-1999 –> 2000-2009	2.1783284	1.1734455	27137.51973	818.390791	4	7
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	4823	1.0099875	13792.9430246	4.504099	10.0245952	1982-1999 –> 2000-2009	2.1862342	1.1762466	27202.60038	8.487604	6	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4823	0.9922522	13624.0549035	4.748678	10.4167175	1982-1999 –> 2000-2009	2.1928218	1.2005696	27209.15454	11.367104	2	7
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	4823	1.0076685	13770.7693550	3.771438	10.6509663	1982-1999 –> 2000-2009	2.2237909	1.2161224	27462.94041	7.103166	5	11
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4823	1.2779426	16064.7768047	67.045219	14.1457949	1982-1999 –> 2000-2009	2.9170444	1.6391018	32288.27552	130.233688	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	4823	1.2906664	16158.3418977	65.976589	14.4886813	1982-1999 –> 2000-2009	3.0168983	1.7262319	32818.73043	128.588986	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4823	1.8788384	19782.3669731	295.606047	10.8704791	1982-1999 –> 2000-2009	3.8982422	2.0194038	37773.99900	564.356891	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4823	1.9911638	20340.4673618	57.866256	7.0808563	1982-1999 –> 2000-2009	4.0110717	2.0199079	38332.21438	113.175780	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5595	0.8588285	14188.9599830	485.158383	4.9314057	2000-2009 –> 2010-2019	1.8491799	0.9903514	27796.51893	972.226780	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5595	0.8606757	14211.0023911	5.163171	4.7885219	2000-2009 –> 2010-2019	1.8529279	0.9922522	27835.05729	9.911849	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5595	0.8617636	14225.1375045	478.531471	4.6752366	2000-2009 –> 2010-2019	1.8666465	1.0048829	27971.20427	962.646550	3	7
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	5595	0.8631208	14240.7475559	3.656036	4.5722473	2000-2009 –> 2010-2019	1.8707893	1.0076685	28011.51691	7.427475	4	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5595	0.8828621	14495.8015434	5.403966	4.8792247	2000-2009 –> 2010-2019	1.8795100	0.9966480	28162.49448	10.428535	5	8
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	5595	0.8843693	14512.8887390	3.807116	4.7552441	2000-2009 –> 2010-2019	1.8943568	1.0099875	28305.83176	8.311215	6	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	5595	1.0478649	16413.1073082	84.286768	6.6560480	2000-2009 –> 2010-2019	2.3258076	1.2779426	32477.88411	151.331987	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	5595	1.0535421	16471.5697252	83.589734	6.2813997	2000-2009 –> 2010-2019	2.3442086	1.2906664	32629.91162	149.566323	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5595	1.7626382	22232.5446196	340.755932	8.2692950	2000-2009 –> 2010-2019	3.6414766	1.8788384	42014.91159	636.361979	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	5595	1.9061872	23106.6474952	69.090063	6.8975654	2000-2009 –> 2010-2019	3.8973510	1.9911638	43447.11486	126.956318	12	22
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8638	1.0478160	25334.5093532	480.911846	6.4804252	1982-1999 –> 2000-2009	2.1988047	1.1509887	50641.45121	833.934526	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	8638	1.0525239	25409.9570390	18.269907	6.6533329	1982-1999 –> 2000-2009	2.2512152	1.1986913	51373.49711	29.668459	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	8638	1.0814273	25877.9775718	14.099161	6.9905894	1982-1999 –> 2000-2009	2.3693130	1.2878857	53005.50712	24.577275	3	7
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	8638	1.1673960	27199.4856527	426.611740	7.3226013	1982-1999 –> 2000-2009	2.4185488	1.2511528	53857.72279	772.838840	4	7
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	8638	1.1706789	27245.9999974	16.715349	7.5194480	1982-1999 –> 2000-2009	2.4811124	1.3104335	54653.01173	28.050235	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	8638	1.1717066	27261.1605631	13.049977	7.0516869	1982-1999 –> 2000-2009	2.5826373	1.4109307	55866.54482	21.491300	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8638	1.4432053	30863.5689360	363.444687	6.8954897	1982-1999 –> 2000-2009	3.1326389	1.6894336	62392.52464	685.773738	9	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	8638	1.3199128	29320.8071201	93.025637	8.1500605	1982-1999 –> 2000-2009	3.1570329	1.8371201	62208.92617	185.412084	7	17
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	8638	1.4658184	31130.1616966	5.533881	6.4752446	1982-1999 –> 2000-2009	3.1699165	1.7040981	62797.28473	9.555990	11	20
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	8638	1.4843615	31347.3382366	5.826568	6.6060754	1982-1999 –> 2000-2009	3.1759073	1.6915458	62894.55766	10.346835	12	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	9866	0.7152953	21401.0935541	551.301685	5.9403502	2000-2009 –> 2010-2019	1.7631112	1.0478160	46735.60291	1032.213532	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	9866	0.7156582	21409.1038444	10.115874	5.8768970	2000-2009 –> 2010-2019	1.7681821	1.0525239	46819.06088	28.385781	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	9866	0.7245051	21651.5340610	8.314010	6.2805722	2000-2009 –> 2010-2019	1.8059324	1.0814273	47529.51163	22.413170	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	9866	0.8567307	24959.3043552	522.155997	5.8525316	2000-2009 –> 2010-2019	2.0241267	1.1673960	52158.79001	948.767737	4	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	9866	0.8567587	24957.9482296	7.567317	5.8686626	2000-2009 –> 2010-2019	2.0284653	1.1717066	52219.10879	20.617294	5	11
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	9866	0.8689480	25236.7016961	9.393117	5.5285066	2000-2009 –> 2010-2019	2.0396269	1.1706789	52482.70169	26.108466	6	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	9866	0.8993437	25917.1270411	112.509598	7.5947268	2000-2009 –> 2010-2019	2.2192565	1.3199128	55237.93416	205.535235	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	9866	0.9486565	26968.4515884	111.206867	7.1430511	2000-2009 –> 2010-2019	2.2806448	1.3319882	56444.59188	203.751168	8	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	9866	1.1190436	30229.8402615	467.625631	6.5303458	2000-2009 –> 2010-2019	2.5622490	1.4432053	61093.40920	831.070319	9	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	9866	1.1191335	30229.4244122	70.927477	6.4696806	2000-2009 –> 2010-2019	2.5666263	1.4474928	61142.24099	128.253428	10	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5759	0.7048206	12328.1996829	620.205364	6.5451842	1982-1999 –> 2000-2009	1.5279371	0.8231165	25970.89579	1001.298993	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5759	0.7197174	12567.1032247	26.036610	6.6354503	1982-1999 –> 2000-2009	1.5440757	0.8243582	26224.57998	47.906010	4	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5759	0.7078031	12374.8363756	22.389200	6.5679367	1982-1999 –> 2000-2009	1.5472203	0.8394171	26233.83132	40.425185	2	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5759	0.7164595	12514.8460415	386.195853	7.0453232	1982-1999 –> 2000-2009	1.5608688	0.8444093	26439.84939	631.343005	3	7
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	5759	0.7393066	12874.4075849	11.040247	7.6783740	1982-1999 –> 2000-2009	1.5862088	0.8469022	26830.22595	17.738269	5	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	5759	0.7590133	13177.4076553	12.146273	7.8291943	1982-1999 –> 2000-2009	1.6048352	0.8458219	27119.01695	19.689366	6	11
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	5759	0.7800111	13493.7192701	91.333465	6.0645880	1982-1999 –> 2000-2009	1.8481421	1.0681310	30035.05750	190.568987	7	15
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	5759	0.7964829	13732.4179539	77.021089	5.9914382	1982-1999 –> 2000-2009	2.0073406	1.2108577	31667.91557	162.365084	8	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5759	1.0408951	16816.9867427	619.448521	6.5925181	1982-1999 –> 2000-2009	2.0648986	1.0240035	32888.66144	881.802859	10	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate_star	5759	0.9840898	16168.6069303	13.557461	8.1309478	1982-1999 –> 2000-2009	2.0809151	1.0968253	33003.04929	21.292002	9	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8070	0.4785025	11018.9738125	605.799777	4.8079228	2000-2009 –> 2010-2019	1.1833231	0.7048206	23347.17350	1226.005141	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8070	0.4829541	11166.4339806	339.085074	4.8972059	2000-2009 –> 2010-2019	1.1994136	0.7164595	23681.28002	725.280928	2	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	8070	0.5155396	12220.2532166	11.756938	4.7600774	2000-2009 –> 2010-2019	1.2233427	0.7078031	24595.08959	34.146137	5	7
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	8070	0.5479980	13205.7231275	13.971338	5.0059830	2000-2009 –> 2010-2019	1.2677155	0.7197174	25772.82635	40.007948	6	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	8070	0.4973392	11640.1518019	68.099453	5.1577195	2000-2009 –> 2010-2019	1.2773502	0.7800111	25133.87107	159.432918	3	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	8070	0.4998990	11721.0104442	63.856688	5.1973708	2000-2009 –> 2010-2019	1.2963819	0.7964829	25453.42840	140.877777	4	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	8070	0.5763227	14017.1156028	5.520813	4.4399164	2000-2009 –> 2010-2019	1.3156293	0.7393066	26891.52319	16.561061	7	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	8070	0.6107788	14954.3181790	6.131849	4.4711802	2000-2009 –> 2010-2019	1.3697921	0.7590133	28131.72583	18.278122	8	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate_star	8070	0.8244468	19795.9596600	6.578770	4.9138116	2000-2009 –> 2010-2019	1.8085366	0.9840898	35964.56659	20.136231	13	22
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	8070	0.7986237	19284.3407375	582.910143	5.9912373	2000-2009 –> 2010-2019	1.8395188	1.0408951	36101.32748	1202.358664	9	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8973	0.7634591	20634.7225387	429.943182	12.2536314	1982-1999 –> 2000-2009	1.3549016	0.5914425	38704.21394	611.885676	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	8973	0.7662002	20697.0397686	37.434444	12.5687329	1982-1999 –> 2000-2009	1.3770255	0.6108253	39415.97565	73.220648	2	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8973	0.7896136	21237.2181208	131.631455	12.8699386	1982-1999 –> 2000-2009	1.3862814	0.5966678	39482.40635	219.410761	3	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	8973	0.8311987	22158.2996229	8.802159	13.0171038	1982-1999 –> 2000-2009	1.4824176	0.6512189	42170.86861	16.507541	4	8
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	8973	0.8495297	22547.7742616	6.977168	12.6462287	1982-1999 –> 2000-2009	1.5305159	0.6809861	43461.29300	12.582316	7	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	8973	0.8473002	22502.6139873	12.085181	12.9660471	1982-1999 –> 2000-2009	1.5408136	0.6935134	43786.38709	22.069581	6	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + nitrate	8973	0.8350187	22238.5865100	34.914300	11.5425594	1982-1999 –> 2000-2009	1.5555918	0.7205731	44293.61713	68.322517	5	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	8973	0.8667279	22907.4518142	7.048515	12.4936589	1982-1999 –> 2000-2009	1.5959032	0.7291752	45202.22406	12.648241	8	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + phosphate_star	8973	0.9185641	23949.8740052	6.878049	11.6446345	1982-1999 –> 2000-2009	1.7956960	0.8771319	49976.83003	12.000538	9	18
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ sal + phosphate_star	8973	0.9515788	24581.5606505	6.272250	11.2692562	1982-1999 –> 2000-2009	1.9000308	0.9484521	52185.78539	9.884097	10	26
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	10751	0.5353002	17086.8255934	303.172355	6.2368632	2000-2009 –> 2010-2019	1.2987594	0.7634591	37721.54813	733.115537	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	10751	0.5950582	19360.4124907	36.925829	7.3379372	2000-2009 –> 2010-2019	1.3612584	0.7662002	40057.45226	74.360274	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	10751	0.6981930	22797.2138063	95.005660	7.3169987	2000-2009 –> 2010-2019	1.4878066	0.7896136	44034.43193	226.637115	3	6
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + nitrate	10751	0.7556410	24495.3956513	36.508130	6.0195542	2000-2009 –> 2010-2019	1.5906597	0.8350187	46733.98216	71.422429	4	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	10751	0.7786103	25141.2574328	5.986039	7.3789095	2000-2009 –> 2010-2019	1.6098090	0.8311987	47299.55706	14.788198	5	9
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	10751	0.7820727	25234.6630996	5.119853	7.2820388	2000-2009 –> 2010-2019	1.6316025	0.8495297	47782.43736	12.097022	6	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	10751	0.8077698	25931.8101648	8.238753	7.2683108	2000-2009 –> 2010-2019	1.6550700	0.8473002	48434.42415	20.323933	7	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	10751	0.8099538	25987.8651295	5.080272	7.1647289	2000-2009 –> 2010-2019	1.6766817	0.8667279	48895.31694	12.128787	8	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + phosphate_star	10751	0.8542261	27132.1737253	4.923347	6.5395139	2000-2009 –> 2010-2019	1.7727902	0.9185641	51082.04773	11.801395	9	18
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ sal + phosphate_star	10751	0.9338942	29047.4494167	4.587921	6.1126034	2000-2009 –> 2010-2019	1.8854730	0.9515788	53629.01007	10.860171	10	20
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1590	0.7645689	3670.5752709	22.389606	5.8366619	1982-1999 –> 2000-2009	1.2125179	0.4479491	6025.31722	53.246006	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1590	0.7702038	3693.9260945	184.447483	4.5656256	1982-1999 –> 2000-2009	1.2285917	0.4583879	6136.29796	424.488545	3	5
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + phosphate_star	1590	0.7782056	3724.7932053	12.640572	5.1922187	1982-1999 –> 2000-2009	1.2375596	0.4593540	6173.17432	19.265041	5	8
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate_star	1590	0.7674174	3680.4009988	22.003137	5.1132649	1982-1999 –> 2000-2009	1.2504301	0.4830126	6319.82493	52.385114	2	8
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate_star	1590	0.7708166	3694.4553170	166.510508	4.9180995	1982-1999 –> 2000-2009	1.2751358	0.5043192	6498.08486	404.847218	4	11
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ aou + phosphate_star	1590	0.7783997	3723.5865517	2.957316	5.0177483	1982-1999 –> 2000-2009	1.2827318	0.5043320	6525.31310	6.277605	6	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1590	0.8451016	3989.0354577	20.596874	5.8746928	1982-1999 –> 2000-2009	1.3236730	0.4785715	6595.32077	46.348283	7	11
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + nitrate + phosphate_star	1590	0.8509674	4009.0316690	13.826868	6.2359557	1982-1999 –> 2000-2009	1.3295568	0.4785893	6613.45910	20.434317	9	14
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + nitrate + phosphate_star	1590	0.8471652	3994.7912991	16.706422	5.2173010	1982-1999 –> 2000-2009	1.3646457	0.5174805	6896.42098	40.909966	8	17
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + phosphate_star	1590	0.8553442	4023.3452721	1.352645	5.3236713	1982-1999 –> 2000-2009	1.3738104	0.5184663	6930.21473	2.891921	10	20
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1726	0.5356236	2755.0104715	36.101849	6.0789435	2000-2009 –> 2010-2019	1.3001924	0.7645689	6425.58574	58.491455	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1726	0.5852115	3060.6567089	293.003365	6.2198944	2000-2009 –> 2010-2019	1.3554153	0.7702038	6754.58280	477.450848	3	6
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + phosphate_star	1726	0.5969484	3127.2042574	29.173125	5.4989219	2000-2009 –> 2010-2019	1.3751540	0.7782056	6851.99746	41.813698	5	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + nitrate	1726	0.5732667	2989.4683607	47.759111	6.6562022	2000-2009 –> 2010-2019	1.4401533	0.8668866	7059.43905	82.005215	2	13
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1726	0.5990987	3141.6164628	38.523091	6.8867791	2000-2009 –> 2010-2019	1.4442003	0.8451016	7130.65192	59.119965	6	13
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + nitrate + phosphate_star	1726	0.5992821	3140.6728690	36.440033	6.8641124	2000-2009 –> 2010-2019	1.4502495	0.8509674	7149.70454	50.266901	7	16
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + nitrate	1726	0.5852294	3058.7618139	44.250961	6.1886716	2000-2009 –> 2010-2019	1.5020073	0.9167780	7304.67626	72.215404	4	19
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate_star	1726	0.7406183	3871.6440085	223.203508	2.1489802	2000-2009 –> 2010-2019	1.5114349	0.7708166	7566.09933	389.714016	12	16
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + temp + nitrate	1726	0.6462245	3401.0038136	24.853786	6.0098591	2000-2009 –> 2010-2019	1.5183479	0.8721234	7488.12691	36.798054	8	20
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate_star	1726	0.7673949	3994.2459439	35.470405	2.6176304	2000-2009 –> 2010-2019	1.5348123	0.7674174	7674.64694	57.473542	13	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	146	0.0105425	-902.9534072	555.778249	0.0479662	1982-1999 –> 2000-2009	0.6644363	0.6538938	-407.80710	1004.428027	6	7
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + nitrate	146	0.0115292	-878.8275559	363.588467	0.0561748	1982-1999 –> 2000-2009	0.7194874	0.7079581	-347.07341	717.030522	7	9
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	146	0.0088386	-954.4281265	221.708664	0.0364944	1982-1999 –> 2000-2009	0.7379194	0.7290807	-406.38580	632.597189	2	5
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	146	0.0059825	-1068.3930813	369.068136	0.0206678	1982-1999 –> 2000-2009	0.7502147	0.7442321	-510.35446	699.463153	1	6
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + nitrate + phosphate_star	146	0.0104945	-906.2851745	139.197673	0.0365720	1982-1999 –> 2000-2009	0.7763883	0.7658938	-336.30298	219.430114	5	14
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + nitrate	146	0.0495540	-453.0402508	537.166489	0.1208832	1982-1999 –> 2000-2009	0.7798507	0.7302967	93.81193	827.856687	9	13
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ aou + nitrate	146	0.0521879	-439.9180216	245.471543	0.1320669	1982-1999 –> 2000-2009	0.8159334	0.7637455	126.69904	395.661016	10	18
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + nitrate + phosphate_star	146	0.0104122	-908.5849832	143.698218	0.0465467	1982-1999 –> 2000-2009	0.8368092	0.8263970	-301.65130	553.893825	4	17
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + nitrate	146	0.0969488	-257.0731165	69.622651	0.4579203	1982-1999 –> 2000-2009	0.8531590	0.7562102	306.72517	224.378852	11	18
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ nitrate + phosphate_star	146	0.0119869	-869.4602099	52.791978	0.0471682	1982-1999 –> 2000-2009	0.8668590	0.8548721	-248.06256	96.822120	8	22
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ nitrate + phosphate_star	32	0.0113456	-187.8393577	782.616915	0.0328582	2000-2009 –> 2010-2019	0.0233325	0.0119869	-1057.29957	835.408893	1	2
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + nitrate	32	0.0601855	-81.0487061	140.703146	0.1878757	2000-2009 –> 2010-2019	0.1781413	0.1179559	-282.85245	178.311700	2	4
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + aou	32	0.0856904	-58.4368425	104.311268	0.2451038	2000-2009 –> 2010-2019	0.3457991	0.2601087	-29.33028	169.273587	3	6
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + temp	32	0.1042955	-45.8616787	99.983874	0.2824184	2000-2009 –> 2010-2019	0.5426303	0.4383348	135.63490	155.210831	4	8
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate_star	32	0.1050383	-45.4074442	83.704047	0.2782765	2000-2009 –> 2010-2019	0.5435341	0.4384958	136.19633	182.155532	5	10

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	11.7166987	4121.1151
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	11.7673335	3631.4996
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	10.2041319	13838.3445
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	10.3980821	12674.8918
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	7.1629929	12787.6198
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.0219232	10939.5736
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	6.6079200	19319.8449
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	6.6864128	15946.8290
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	5.9568651	24902.5446
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	6.7441264	19807.6563
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	6.1241574	33735.9223
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.0165783	28800.5423
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	6.6369082	48335.1322
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	7.7797088	41130.7877
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	6.6875374	29899.5837
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	7.8453708	27107.2174
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	7.9852250	97713.6300
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	10.0621724	85037.2359
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	5.4234646	72746.6892
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	6.3949219	55850.7391
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	3.6666428	27208.9694
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	4.0713608	22703.0380
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.5291988	23394.5290
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.6977580	19312.2471
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	0.9775292	5462.6533
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.1466250	5767.2649
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	0.8036572	5246.2391
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	0.8296013	5192.2388
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	23.4776663	57287.9945
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	22.9057414	75821.5606
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	22.1492420	53710.0020
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	24.7512890	52765.4742
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	17.0816731	45616.9211
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	19.7551739	43557.2596
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	11.8850175	50914.4432
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	13.5666014	52465.1727
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.1520075	57476.0422
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	9.5814032	59567.4996
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.6546386	68485.0243
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.0741976	70542.5800
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	4.4982711	65187.4679
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	4.4654828	67140.9427
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	2.6272581	23291.8782
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	2.5424035	25032.2669
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.6954629	30425.7897
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	2.3422254	31865.2446
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.6937127	56969.1028
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	2.1058221	53186.2952
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	1.7372442	28641.3083
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	1.3781004	27507.2812
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	1.5519177	43867.9601
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	1.5969910	46567.0208
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.2878653	6471.3428
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.4431967	7140.5511
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	0.7801057	-203.0401
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	0.3266875	-219.5302

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
016f9ed	Donghe-Zhu	2021-07-31
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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
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

The number of models where a particular predictor was included were counted for each basin, density slab and compared eras

# calculate cases of predictor used
lm_all_stats <- lm_best_long %>% 
  filter(term != "(Intercept)",
         delta_coeff != 0) %>% 
  group_by(basin, eras, gamma_slab) %>% 
  count(term) %>% 
  ungroup() %>% 
  pivot_wider(values_from = n,
              names_from = term,
              values_fill = 0)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )

	aou	nitrate	phosphate_star	sal	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	7	10	7	6	6
(26,26.5]	9	8	7	6	7
(26.5,26.75]	9	8	7	7	6
(26.75,27]	9	8	7	7	6
(27,27.25]	8	9	7	7	6
(27.25,27.5]	8	7	8	8	6
(27.5,27.75]	6	9	6	9	6
(27.75,27.85]	6	10	8	6	5
(27.85,27.95]	6	10	8	6	5
(27.95,28.05]	6	10	8	6	5
(28.05,28.1]	7	10	7	6	6
(28.1,28.15]	8	9	7	7	6
(28.15,28.2]	7	9	6	6	5
(28.2, Inf]	9	6	9	6	6
total	105.00	123.00	102.00	93.00	81.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	10	7	6	6
(26,26.5]	9	8	7	6	7
(26.5,26.75]	9	8	7	7	6
(26.75,27]	7	7	8	8	5
(27,27.25]	8	8	8	8	5
(27.25,27.5]	8	7	8	8	6
(27.5,27.75]	7	10	7	6	6
(27.75,27.85]	6	10	8	5	6
(27.85,27.95]	6	9	9	6	6
(27.95,28.05]	6	8	10	5	6
(28.05,28.1]	8	10	6	6	5
(28.1,28.15]	8	9	7	7	6
(28.15,28.2]	7	9	6	6	5
(28.2, Inf]	9	7	8	6	7
total	105.00	120.00	106.00	90.00	82.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	9	7	7	6	8
(26,26.5]	8	6	9	7	7
(26.5,26.75]	6	8	7	9	7
(26.75,27]	10	6	5	8	6
(27,27.25]	7	7	10	6	6
(27.25,27.5]	5	6	10	8	6
(27.5,27.75]	7	7	6	6	10
(27.75,27.85]	8	7	7	6	9
(27.85,27.95]	8	8	7	6	8
(27.95,28.05]	7	7	9	7	7
(28.05,28.1]	7	7	8	9	6
(28.1,28.2]	6	6	8	10	5
(28.2,28.3]	6	6	10	5	4
(28.3, Inf]	5	9	5	6	6
total	99.00	97.00	108.00	99.00	95.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	7	8	6	8
(26,26.5]	8	7	8	7	7
(26.5,26.75]	6	8	5	10	6
(26.75,27]	10	5	6	8	6
(27,27.25]	7	7	10	6	6
(27.25,27.5]	6	6	9	9	6
(27.5,27.75]	7	7	6	6	10
(27.75,27.85]	8	7	7	6	9
(27.85,27.95]	8	8	7	6	8
(27.95,28.05]	8	8	7	6	8
(28.05,28.1]	7	7	8	9	6
(28.1,28.2]	6	6	8	10	5
(28.2,28.3]	7	7	7	8	5
(28.3, Inf]	1	2	2	4	1
total	97.00	92.00	98.00	101.00	91.00

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
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

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

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

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

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

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

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