eMLR - model fitting

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Last updated: 2021-07-19

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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

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R Markdown file: up-to-date

Great! Since the R Markdown file has been committed to the Git repository, you know the exact version of the code that produced these results.

Environment: empty

Great job! The global environment was empty. Objects defined in the global environment can affect the analysis in your R Markdown file in unknown ways. For reproduciblity it’s best to always run the code in an empty environment.

Seed: set.seed(20200707)

The command set.seed(20200707) was run prior to running the code in the R Markdown file. Setting a seed ensures that any results that rely on randomness, e.g. subsampling or permutations, are reproducible.

Session information: recorded

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Cache: none

Nice! There were no cached chunks for this analysis, so you can be confident that you successfully produced the results during this run.

File paths: relative

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Repository version: 38a8d51

Great! You are using Git for version control. Tracking code development and connecting the code version to the results is critical for reproducibility.

The results in this page were generated with repository version 38a8d51. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.

Note that you need to be careful to ensure that all relevant files for the analysis have been committed to Git prior to generating the results (you can use wflow_publish or wflow_git_commit). workflowr only checks the R Markdown file, but you know if there are other scripts or data files that it depends on. Below is the status of the Git repository when the results were generated:

Ignored files:
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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
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Rmd	8e8abf5	Jens Müller	2020-12-18	Initial commit

---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

# lm_rm <- bind_rows(lm_rm_ph, lm_rm_o2) %>%
#   select(-lm_coeff_filter) %>%
#   unique()

# lm_rm <- lm_rm_ph %>%
#   select(-lm_coeff_filter) %>%
#   unique()
# 
 lm_all <- anti_join(lm_all, lm_rm_si)

# 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:

• 112

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	250	5.3396497	1561.04930	172.013376	15.6982126	1982-1999 –> 2000-2009	9.8759075	4.5362578	3902.295790	419.593500	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	250	5.4622089	1572.39590	56.406965	16.0078175	1982-1999 –> 2000-2009	10.1558417	4.6936327	3940.721341	138.237293	2	4
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	250	5.5041447	1576.21996	73.422608	16.4879687	1982-1999 –> 2000-2009	10.2384123	4.7342676	3951.389823	169.145879	3	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	250	5.6837897	1592.27837	82.989367	17.6212619	1982-1999 –> 2000-2009	10.6251472	4.9413575	4001.441802	160.891472	5	9
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	250	5.6819408	1590.11570	142.959684	18.6086353	1982-1999 –> 2000-2009	10.6625322	4.9805915	4003.558522	389.626277	4	9
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	250	5.8249986	1602.54865	95.824276	15.2723238	1982-1999 –> 2000-2009	10.9195390	5.0945404	4033.952392	219.712931	7	13
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	250	5.8288696	1602.88081	54.267320	15.2964875	1982-1999 –> 2000-2009	10.9344484	5.1055788	4036.003067	130.380774	8	15
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	250	5.7400834	1595.20614	52.667985	16.3217756	1982-1999 –> 2000-2009	10.9415713	5.2014879	4043.105442	125.148178	6	16
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	250	5.8384731	1603.70392	72.396762	15.5853200	1982-1999 –> 2000-2009	10.9511378	5.1126647	4037.927386	167.902048	9	17
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	250	5.8517500	1604.83964	55.198842	18.4887732	1982-1999 –> 2000-2009	10.9801357	5.1283857	4041.500845	136.453717	11	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	318	4.5697386	1882.81893	135.577399	16.4653651	2000-2009 –> 2010-2019	9.9093884	5.3396497	3443.868223	307.590775	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	318	4.7248694	1904.05110	39.582653	16.3390235	2000-2009 –> 2010-2019	10.1870783	5.4622089	3476.447000	95.989618	3	5
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	318	4.7499761	1907.42169	41.837675	16.5753938	2000-2009 –> 2010-2019	10.2541208	5.5041447	3483.641649	115.260284	4	7
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	318	4.6840729	1896.53576	119.945675	17.7717594	2000-2009 –> 2010-2019	10.3660137	5.6819408	3486.651458	262.905358	2	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	318	4.9672977	1935.87403	48.681140	16.9212008	2000-2009 –> 2010-2019	10.6510874	5.6837897	3528.152398	131.670507	6	11
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	318	4.8611186	1920.13173	37.457740	17.9801537	2000-2009 –> 2010-2019	10.7128686	5.8517500	3524.971371	92.656581	5	16
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	318	5.0933278	1949.80929	39.062803	13.0914963	2000-2009 –> 2010-2019	10.8334112	5.7400834	3545.015423	91.730788	11	17
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	318	5.0874099	1949.06989	80.161140	15.5569858	2000-2009 –> 2010-2019	10.9124085	5.8249986	3551.618538	175.985417	8	15
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	318	5.0899415	1949.38630	34.671630	15.5444065	2000-2009 –> 2010-2019	10.9188111	5.8288696	3552.267108	88.938949	9	17
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	318	5.0916793	1949.60340	39.948878	15.5986811	2000-2009 –> 2010-2019	10.9301524	5.8384731	3553.307320	112.345640	10	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	931	3.3337589	4898.09863	405.609478	19.0301155	1982-1999 –> 2000-2009	8.1632058	4.8294469	12917.173494	616.327347	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	931	3.4445756	4958.98645	528.927895	18.6053430	1982-1999 –> 2000-2009	8.2770405	4.8324650	12979.731847	904.990230	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	931	3.6083400	5045.47104	424.813987	18.2818554	1982-1999 –> 2000-2009	8.4668785	4.8585384	13080.605170	683.517935	4	8
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	931	3.9349127	5204.79629	957.639156	16.4208667	1982-1999 –> 2000-2009	8.7932036	4.8582910	13237.794227	1742.346929	5	8
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	931	3.4779074	4974.91768	363.631786	19.7788231	1982-1999 –> 2000-2009	8.8038539	5.3259465	13253.666168	572.790891	3	17
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	931	4.0599723	5263.05352	100.039475	18.1122036	1982-1999 –> 2000-2009	8.9194167	4.8594445	13296.686262	204.225449	11	16
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	931	4.1995759	5326.00289	98.620540	19.3363128	1982-1999 –> 2000-2009	9.0867080	4.8871322	13374.828070	202.698137	12	18
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	931	4.0521388	5259.45744	279.884929	15.7625035	1982-1999 –> 2000-2009	9.2259973	5.1738585	13460.735567	483.659400	10	17
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	931	4.0384316	5253.14818	480.089040	15.5663876	1982-1999 –> 2000-2009	9.2313690	5.1929373	13464.268682	804.635434	6	16
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	931	4.0461514	5256.70413	258.340233	15.3605715	1982-1999 –> 2000-2009	9.2370593	5.1909079	13466.779391	405.349387	8	17
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1138	4.9308611	6874.89313	186.526827	49.8978393	2000-2009 –> 2010-2019	8.2646200	3.3337589	11772.991762	592.136305	2	3
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1138	4.9383419	6878.34352	299.557698	48.6694442	2000-2009 –> 2010-2019	8.3829174	3.4445756	11837.329962	828.485593	3	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	1138	5.0396512	6924.56281	186.038263	47.1191033	2000-2009 –> 2010-2019	8.6479912	3.6083400	11970.033846	580.317219	5	9
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1138	4.8406040	6830.84600	566.994363	48.6662944	2000-2009 –> 2010-2019	8.7755166	3.9349127	12035.642289	1524.633519	1	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	1138	4.9439045	6878.90581	77.184436	46.5639870	2000-2009 –> 2010-2019	9.0038768	4.0599723	12141.959337	177.223911	4	15
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1138	5.5542871	7143.86558	179.899897	55.0867584	2000-2009 –> 2010-2019	9.0321944	3.4779074	12118.783260	543.531683	14	17
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1138	5.0483920	6926.50691	76.688434	44.4017652	2000-2009 –> 2010-2019	9.2479678	4.1995759	12252.509798	175.308974	6	18
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1138	5.2505701	7015.87836	264.633801	36.7837610	2000-2009 –> 2010-2019	9.2890018	4.0384316	12269.026537	744.722841	8	14
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	1138	5.2461334	7013.95434	389.034504	36.8507275	2000-2009 –> 2010-2019	9.2919987	4.0458653	12270.526791	1052.476241	7	14
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1138	5.2527843	7016.83795	123.879015	37.0148484	2000-2009 –> 2010-2019	9.2989357	4.0461514	12273.542083	382.219247	9	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1005	2.9767315	5058.62648	914.650786	26.7866393	1982-1999 –> 2000-2009	6.4959090	3.5191775	12359.871898	1215.597696	1	3
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	1005	3.0075330	5079.31792	860.998630	25.4101168	1982-1999 –> 2000-2009	6.5225466	3.5150137	12377.340768	1158.410651	3	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1005	3.0442502	5101.70829	639.729990	30.1595236	1982-1999 –> 2000-2009	6.6068087	3.5625584	12434.302664	896.846006	5	8
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	1005	3.0389052	5098.17607	141.905014	20.1326839	1982-1999 –> 2000-2009	6.6283617	3.5894565	12451.244903	262.157822	4	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1005	3.0581082	5110.83739	135.022064	19.5669194	1982-1999 –> 2000-2009	6.6436647	3.5855565	12460.947158	253.846818	6	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1005	2.9832127	5060.99811	762.895354	27.9331930	1982-1999 –> 2000-2009	6.6557434	3.6725307	12476.346836	1060.668722	2	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	1005	3.1386782	5163.10796	650.062128	29.3966928	1982-1999 –> 2000-2009	6.7108538	3.5721757	12503.040567	909.854229	9	13
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	1005	3.1418196	5163.11873	326.956526	21.0317463	1982-1999 –> 2000-2009	6.7592646	3.6174450	12535.329859	645.006096	10	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	1005	3.1227322	5150.87015	107.689280	19.4051697	1982-1999 –> 2000-2009	6.8005556	3.6778234	12568.138925	192.753555	8	19
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	1005	3.2117427	5207.36194	124.494132	20.4230235	1982-1999 –> 2000-2009	6.8272410	3.6154983	12578.107850	226.675115	11	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1041	3.3178463	5465.20564	509.551896	34.4713489	2000-2009 –> 2010-2019	6.2945778	2.9767315	10523.832119	1424.202681	1	2
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1041	3.3216200	5465.57240	487.879411	33.6818301	2000-2009 –> 2010-2019	6.3048328	2.9832127	10526.570504	1250.774766	2	4
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	1041	3.3631379	5493.43463	512.435096	33.6491225	2000-2009 –> 2010-2019	6.3706709	3.0075330	10572.752549	1373.433726	3	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1041	3.4024206	5515.61223	363.965040	39.2011653	2000-2009 –> 2010-2019	6.4466709	3.0442502	10617.320512	1003.695031	4	9
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	1041	3.4358850	5535.98961	134.016430	22.5383187	2000-2009 –> 2010-2019	6.4747902	3.0389052	10634.165688	275.921444	6	10
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	1041	3.4178040	5523.00435	170.927610	42.5486281	2000-2009 –> 2010-2019	6.5012242	3.0834202	10648.410088	386.560821	5	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1041	3.4749584	5559.53283	131.852609	21.9224445	2000-2009 –> 2010-2019	6.5330666	3.0581082	10670.370214	266.874673	10	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	1041	3.4601131	5548.61928	79.221760	21.3264806	2000-2009 –> 2010-2019	6.5828452	3.1227322	10699.489429	186.911040	7	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	1041	3.4726352	5558.14040	375.349982	38.8260251	2000-2009 –> 2010-2019	6.6113134	3.1386782	10721.248368	1025.412110	9	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	1041	3.5490475	5601.45622	286.212660	24.9697900	2000-2009 –> 2010-2019	6.6908671	3.1418196	10764.574947	613.169187	11	21
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1569	2.9255576	7835.22536	577.711455	19.8119251	1982-1999 –> 2000-2009	5.9678144	3.0422568	18608.262475	1047.670192	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	1569	2.9278026	7835.63250	80.482967	17.8701069	1982-1999 –> 2000-2009	6.0029894	3.0751867	18652.425141	186.086579	4	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	1569	2.9570236	7868.79609	576.122125	19.0501427	1982-1999 –> 2000-2009	6.0054279	3.0484043	18650.412464	1040.136946	6	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1569	2.9276481	7835.46684	971.089675	18.9582203	1982-1999 –> 2000-2009	6.0213028	3.0936548	18677.706540	1848.811903	3	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1569	2.9590173	7868.91110	76.414264	18.6893925	1982-1999 –> 2000-2009	6.0375676	3.0785503	18690.349753	177.442733	7	11
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1569	2.9257940	7833.47894	405.716398	19.3869813	1982-1999 –> 2000-2009	6.0376460	3.1118520	18700.644373	780.748044	2	8
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	1569	2.9284441	7834.31991	67.220946	17.9604396	1982-1999 –> 2000-2009	6.0403161	3.1118720	18699.512697	155.169256	5	12
Atlantic	(26.75,27]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1569	3.0533160	7967.35328	551.751495	23.3233558	1982-1999 –> 2000-2009	6.3852477	3.3319317	19124.938978	1009.478775	8	16
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	1569	3.0905068	8003.34459	50.779460	21.8328645	1982-1999 –> 2000-2009	6.4255528	3.3350461	19162.900957	116.045562	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	1569	3.4280169	8330.58839	146.345809	33.7619016	1982-1999 –> 2000-2009	6.7950640	3.3670472	19532.730774	358.264927	10	23
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1467	2.9529901	7352.15441	537.482413	23.1052877	2000-2009 –> 2010-2019	5.8787841	2.9257940	15185.633344	943.198810	2	3
Atlantic	(26.75,27]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1467	2.8453371	7243.19531	927.861199	23.9462771	2000-2009 –> 2010-2019	5.8986531	3.0533160	15210.548589	1479.612694	1	6
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	1467	2.9899370	7388.63594	76.401886	23.2414384	2000-2009 –> 2010-2019	5.9177396	2.9278026	15224.268439	156.884853	3	5
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	1467	2.9935171	7390.14697	51.088386	23.1566032	2000-2009 –> 2010-2019	5.9219612	2.9284441	15224.466878	118.309331	4	7
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1467	3.0154959	7413.61014	72.316816	23.2380155	2000-2009 –> 2010-2019	5.9745133	2.9590173	15282.521243	148.731080	5	9
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	1467	3.0802172	7473.91595	34.983274	23.4041420	2000-2009 –> 2010-2019	6.1707239	3.0905068	15477.260541	85.762734	6	12
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1467	3.3082308	7685.44304	749.670693	22.5028318	2000-2009 –> 2010-2019	6.7713314	3.4631005	16047.983702	1249.308644	8	20
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	1467	3.4166149	7778.02556	225.834508	21.8093835	2000-2009 –> 2010-2019	6.9283358	3.5117209	16182.315918	443.353187	10	24
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	1467	3.5038511	7853.99874	126.080022	21.9510259	2000-2009 –> 2010-2019	6.9318680	3.4280169	16184.587129	272.425831	12	19
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	1467	3.5073165	7854.89916	78.264979	21.8525873	2000-2009 –> 2010-2019	6.9425844	3.4352678	16190.118068	193.037458	13	21
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1898	2.6295045	9070.24604	373.582358	18.5441676	1982-1999 –> 2000-2009	5.0139889	2.3844844	23209.873163	831.438976	5	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1898	2.6252098	9064.04110	605.049023	17.8609821	1982-1999 –> 2000-2009	5.0201726	2.3949628	23230.739774	1358.633499	4	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	1898	2.6227696	9060.51099	645.296915	17.0094916	1982-1999 –> 2000-2009	5.0205718	2.3978022	23234.525083	1403.830587	1	4
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1898	2.6227849	9060.53315	401.384363	17.0526793	1982-1999 –> 2000-2009	5.0431202	2.4203353	23292.295707	863.342820	2	7
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1898	2.6927363	9158.44838	472.583213	20.4174081	1982-1999 –> 2000-2009	5.0922463	2.3995100	23334.858275	1177.756318	9	13
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	1898	2.6228337	9058.60378	326.151340	17.1479911	1982-1999 –> 2000-2009	5.1240765	2.5012428	23491.377705	770.767323	3	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1898	2.7083685	9180.42165	166.651248	20.8484854	1982-1999 –> 2000-2009	5.1352591	2.4268907	23426.883675	455.268709	10	16
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1898	2.6798706	9140.26790	35.179230	19.8582535	1982-1999 –> 2000-2009	5.1363239	2.4564533	23461.482759	107.275683	6	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1898	2.6830262	9144.73524	368.008198	20.1238881	1982-1999 –> 2000-2009	5.1389429	2.4559166	23464.601173	947.178401	7	14
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1898	2.7085274	9178.64437	33.440892	20.8842679	1982-1999 –> 2000-2009	5.1649991	2.4564718	23497.905686	97.900089	11	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1874	2.9283655	9359.19928	421.112617	11.7899943	2000-2009 –> 2010-2019	5.5578699	2.6295045	18429.445323	794.694975	1	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1874	2.9574745	9396.27186	663.424435	11.4499321	2000-2009 –> 2010-2019	5.5826843	2.6252098	18460.312963	1268.473458	2	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1874	2.9745492	9417.84830	647.054519	11.4811089	2000-2009 –> 2010-2019	5.5973341	2.6227849	18478.381447	1234.300249	3	5
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	1874	2.9756081	9419.18234	682.502196	11.5412036	2000-2009 –> 2010-2019	5.5983777	2.6227696	18479.693328	1327.799111	4	5
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	1874	2.9756875	9417.28233	426.500824	11.5255984	2000-2009 –> 2010-2019	5.5985212	2.6228337	18475.886109	752.652164	5	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1874	3.0422809	9500.23461	621.813034	11.7971709	2000-2009 –> 2010-2019	5.7350171	2.6927363	18658.682992	1094.396247	6	15
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1874	3.2636801	9763.52379	235.082311	14.5755828	2000-2009 –> 2010-2019	5.9720486	2.7083685	18943.945439	401.733559	7	17
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1874	3.3207444	9828.48993	42.618406	18.2398594	2000-2009 –> 2010-2019	6.0006150	2.6798706	18968.757836	77.797635	8	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1874	3.3330657	9842.37072	479.349279	18.5040734	2000-2009 –> 2010-2019	6.0160919	2.6830262	18987.105954	847.357477	9	16
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1874	3.3387343	9846.73962	36.127885	18.2375031	2000-2009 –> 2010-2019	6.0472617	2.7085274	19025.383990	69.568777	10	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2834	2.8015842	13895.63237	191.293330	17.6167786	1982-1999 –> 2000-2009	5.7110410	2.9094568	32830.005026	478.781184	1	3
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	2834	2.8283294	13949.48509	225.256348	17.3552050	1982-1999 –> 2000-2009	5.7185792	2.8902498	32833.466550	549.688047	3	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	2834	2.8506592	13994.05846	237.024552	17.1570345	1982-1999 –> 2000-2009	5.7932986	2.9426394	33014.709972	557.897067	5	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2834	2.8508504	13994.43862	222.789083	16.8895753	1982-1999 –> 2000-2009	5.7952063	2.9443559	33019.526816	541.389405	6	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2834	2.8520329	13994.78928	214.971168	16.9961266	1982-1999 –> 2000-2009	5.7969949	2.9449620	33019.443275	533.548666	7	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2834	2.9093233	14107.51705	131.265700	17.2760884	1982-1999 –> 2000-2009	5.8706370	2.9613137	33174.297160	359.564589	13	20
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2834	2.9349384	14157.20248	30.036271	17.3348862	1982-1999 –> 2000-2009	5.8759643	2.9410259	33171.681179	70.818802	14	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	2834	2.8624409	14015.43591	222.118983	17.2174609	1982-1999 –> 2000-2009	5.8867284	3.0242876	33242.307816	542.858715	11	20
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2834	2.8138891	13918.47248	28.437557	17.7813484	1982-1999 –> 2000-2009	5.8955903	3.0817012	33288.422160	71.678758	2	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	2834	2.8405567	13971.93590	29.788318	17.4363062	1982-1999 –> 2000-2009	5.9314307	3.0908740	33364.497628	73.293234	4	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	2585	3.7827472	14228.34133	235.312140	56.5262318	2000-2009 –> 2010-2019	6.6110765	2.8283294	28177.826419	460.568488	1	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2585	3.8110375	14266.86274	197.823091	56.1615797	2000-2009 –> 2010-2019	6.6126216	2.8015842	28162.495116	389.116421	7	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	2585	3.7832918	14229.08565	198.955714	53.7396667	2000-2009 –> 2010-2019	6.6339510	2.8506592	28223.144107	435.980267	3	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	2585	3.7849463	14229.34611	194.205056	55.2449623	2000-2009 –> 2010-2019	6.6473872	2.8624409	28244.782018	416.324040	5	16
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2585	3.8155566	14272.98968	192.136458	57.0449582	2000-2009 –> 2010-2019	6.6664070	2.8508504	28267.428297	414.925541	8	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2585	3.8448102	14310.47656	191.747159	60.0347730	2000-2009 –> 2010-2019	6.6968432	2.8520329	28305.265846	406.718326	11	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2585	3.8176438	14273.81709	128.610077	56.5172648	2000-2009 –> 2010-2019	6.7269671	2.9093233	28381.334139	259.875777	10	23
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2585	3.8583732	14328.68224	40.895961	48.1571356	2000-2009 –> 2010-2019	6.7933116	2.9349384	28485.884724	70.932232	13	27
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	2585	3.8591843	14327.76886	26.078525	47.4271527	2000-2009 –> 2010-2019	6.8189301	2.9597459	28530.678582	41.685471	14	29
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2585	3.7843340	14228.50961	165.894106	53.6203623	2000-2009 –> 2010-2019	6.9299602	3.1456263	28778.654936	360.719400	4	27
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3833	3.5444556	20592.02097	153.491196	23.6320666	1982-1999 –> 2000-2009	6.4597089	2.9152533	47804.668359	336.489206	3	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3833	3.5304913	20561.75910	184.283000	23.9390193	1982-1999 –> 2000-2009	6.4613463	2.9308550	47832.734237	394.268567	1	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3833	3.5455465	20592.38002	123.241676	23.8301989	1982-1999 –> 2000-2009	6.4764087	2.9308622	47861.382064	269.746286	4	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3833	3.5318872	20562.78965	106.097976	24.5375677	1982-1999 –> 2000-2009	6.4944571	2.9625698	47949.381720	211.585652	2	13
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	3833	3.5894829	20688.79326	188.000432	26.8814924	1982-1999 –> 2000-2009	6.5090455	2.9195626	47917.582328	406.724938	9	11
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3833	3.5640999	20634.39073	180.739842	25.5052296	1982-1999 –> 2000-2009	6.5123628	2.9482629	47970.080918	391.069767	5	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3833	3.5687721	20642.43356	180.723647	25.8925121	1982-1999 –> 2000-2009	6.5177888	2.9490167	47978.917491	390.297525	6	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	3833	3.6047757	20719.38444	184.278561	28.1692921	1982-1999 –> 2000-2009	6.5358487	2.9310731	47989.172705	391.333046	11	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3833	3.6269748	20766.44881	27.327529	31.7619411	1982-1999 –> 2000-2009	6.5468535	2.9198787	47994.420890	48.247408	13	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3833	3.5992448	20707.61343	28.374970	28.8536629	1982-1999 –> 2000-2009	6.5481125	2.9488676	48043.544967	53.109726	10	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3579	3.9194188	19948.18477	167.098473	32.3835094	2000-2009 –> 2010-2019	7.4499101	3.5304913	40509.943871	351.381473	1	2
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3579	3.9841416	20065.42197	170.425214	34.0651668	2000-2009 –> 2010-2019	7.5482415	3.5640999	40699.812692	351.165056	2	7
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3579	4.0305127	20148.25239	143.843960	33.2274961	2000-2009 –> 2010-2019	7.5749683	3.5444556	40740.273358	297.335155	5	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3579	4.0300972	20145.51441	167.094459	35.1961481	2000-2009 –> 2010-2019	7.5988694	3.5687721	40787.947969	347.818105	4	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3579	4.0745828	20224.09396	92.092496	25.8584502	2000-2009 –> 2010-2019	7.6064700	3.5318872	40786.883604	198.190472	7	9
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3579	4.0203015	20130.09471	222.177096	35.7113805	2000-2009 –> 2010-2019	7.6097844	3.5894829	40818.887974	423.424071	3	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3579	4.0305178	20146.26130	22.023859	33.1652082	2000-2009 –> 2010-2019	7.6574925	3.6269748	40912.710104	49.351388	6	19
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	3579	4.1026996	20273.31827	17.892456	27.8101408	2000-2009 –> 2010-2019	7.6751405	3.5724409	40923.628603	38.833128	9	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3579	4.1352455	20329.87734	125.307794	31.3026810	2000-2009 –> 2010-2019	7.6807920	3.5455465	40922.257358	248.549470	14	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3579	4.0944205	20258.85921	189.256626	38.8136611	2000-2009 –> 2010-2019	7.6991962	3.6047757	40978.243646	382.715206	8	19
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2432	3.5376854	13061.24814	858.147376	24.7917008	1982-1999 –> 2000-2009	6.0213190	2.4836335	28779.738942	1547.352388	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2432	3.6493351	13212.38387	108.266190	24.4506000	1982-1999 –> 2000-2009	6.1484254	2.4990903	28972.715525	195.265980	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2432	3.6829800	13255.02187	105.091854	25.1357567	1982-1999 –> 2000-2009	6.1820812	2.4991012	29013.383033	183.315429	3	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	2432	3.7049073	13285.89470	110.565006	24.2849198	1982-1999 –> 2000-2009	6.2101569	2.5052496	29062.827463	199.888106	4	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	2432	3.7569387	13351.72905	101.037439	24.7101049	1982-1999 –> 2000-2009	6.2622667	2.5053280	29126.872707	170.202060	5	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2432	3.7672697	13365.08601	107.823250	29.2105095	1982-1999 –> 2000-2009	6.2993109	2.5320411	29211.757174	194.675512	7	15
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2432	3.7632948	13361.95123	103.655140	24.0738197	1982-1999 –> 2000-2009	6.3106250	2.5473302	29251.221695	188.653383	6	17
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	2432	3.8200781	13432.79449	110.414021	28.9677330	1982-1999 –> 2000-2009	6.3583856	2.5383075	29296.135221	199.585005	8	17
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	2432	3.8304495	13445.98228	121.576905	30.7987523	1982-1999 –> 2000-2009	6.3966952	2.5662457	29383.146097	283.678635	10	22
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate	2432	3.8907324	13521.93493	70.270345	24.6593694	1982-1999 –> 2000-2009	6.3978915	2.5071590	29302.005629	114.171723	14	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	2443	3.0496240	12394.91309	364.545775	16.6109743	2000-2009 –> 2010-2019	6.5873094	3.5376854	25456.161236	684.141322	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2443	3.0710032	12429.04653	130.401085	17.5617008	2000-2009 –> 2010-2019	6.7203383	3.6493351	25641.430402	238.667275	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2443	3.0826756	12445.58225	128.278920	17.9974062	2000-2009 –> 2010-2019	6.7656556	3.6829800	25700.604111	233.370775	3	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2443	3.0964292	12469.33308	183.064917	18.3434022	2000-2009 –> 2010-2019	6.8013365	3.7049073	25755.227782	329.906489	4	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	2443	3.1421378	12538.93170	122.416519	19.3779787	2000-2009 –> 2010-2019	6.8990765	3.7569387	25890.660752	223.453958	5	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2443	3.1539815	12559.31392	127.202925	19.2190098	2000-2009 –> 2010-2019	6.9172763	3.7632948	25921.265144	230.858065	6	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2443	3.2095348	12642.62538	127.874043	19.2679875	2000-2009 –> 2010-2019	6.9768046	3.7672697	26007.711385	235.697293	7	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	2443	3.2424091	12692.41659	130.549017	20.0795711	2000-2009 –> 2010-2019	7.0624872	3.8200781	26125.211077	240.963038	8	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2443	3.2631071	12723.50744	308.424026	23.7952663	2000-2009 –> 2010-2019	7.0935567	3.8304495	26169.489719	502.232564	9	19
Atlantic	(27.75,27.85]	3	cstar_tref ~ oxygen + nitrate + phosphate	2443	3.2669952	12727.32576	79.990812	25.3481678	2000-2009 –> 2010-2019	7.1014877	3.8344925	26176.439232	147.061288	10	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7870	4.4923437	45995.46803	65.955006	32.3610785	1982-1999 –> 2000-2009	7.3422883	2.8499445	94471.045910	113.530545	1	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	7870	4.5118244	46063.57568	63.856274	32.1936223	1982-1999 –> 2000-2009	7.3465733	2.8347489	94434.101162	109.257355	2	3
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7870	4.5156453	46076.89961	65.262702	32.3219601	1982-1999 –> 2000-2009	7.3593585	2.8437132	94509.466459	112.405332	5	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	7870	4.5142019	46071.86749	553.776413	32.5154742	1982-1999 –> 2000-2009	7.3729889	2.8587870	94608.319021	976.488300	3	7
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7870	4.5298217	46124.23636	58.862260	32.4836279	1982-1999 –> 2000-2009	7.4059260	2.8761043	94777.359912	92.283297	9	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7870	4.5162108	46076.87065	49.268193	32.4017204	1982-1999 –> 2000-2009	7.4384217	2.9222109	95042.503298	76.960019	6	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	7870	4.5150700	46072.89432	41.157694	32.4252547	1982-1999 –> 2000-2009	7.4907791	2.9757090	95395.014606	61.944713	4	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	7870	4.6086016	46395.62378	59.615571	32.5810846	1982-1999 –> 2000-2009	7.5565634	2.9479618	95533.656121	103.622013	13	20
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	7870	4.6080955	46393.89497	62.105678	32.5828686	1982-1999 –> 2000-2009	7.5631925	2.9550971	95579.431017	107.820653	11	19
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7870	4.6065666	46388.67193	63.668733	32.4851022	1982-1999 –> 2000-2009	7.5686281	2.9620615	95620.463969	109.716229	10	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6186	4.6572440	36602.48760	79.660660	37.0327759	2000-2009 –> 2010-2019	9.1495878	4.4923437	82597.955624	145.615666	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6186	4.6812064	36665.98051	125.431930	37.0942819	2000-2009 –> 2010-2019	9.1930308	4.5118244	82729.556193	220.254186	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6186	4.6888164	36686.07688	79.833505	37.2278981	2000-2009 –> 2010-2019	9.2044617	4.5156453	82762.976490	145.096207	3	8
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	6186	4.7023033	36721.61245	391.272656	37.3196019	2000-2009 –> 2010-2019	9.2165052	4.5142019	82793.479940	755.185598	4	7
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6186	4.7126638	36746.84148	62.402405	37.5866309	2000-2009 –> 2010-2019	9.2288746	4.5162108	82823.712126	111.670597	5	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	6186	4.7189404	36763.30819	49.551844	37.6552132	2000-2009 –> 2010-2019	9.2340104	4.5150700	82836.202510	90.709538	6	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate	6186	4.7269505	36784.29109	26.741073	43.4362886	2000-2009 –> 2010-2019	9.2479030	4.5209525	82877.679074	49.859997	7	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate	6186	4.7291637	36788.08250	26.467985	40.9072682	2000-2009 –> 2010-2019	9.2521032	4.5229395	82886.386669	48.187855	8	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6186	4.8708468	37155.29673	71.653987	38.2349659	2000-2009 –> 2010-2019	9.4006685	4.5298217	83279.533086	130.516247	9	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6186	4.9247915	37291.56365	78.629767	38.8759880	2000-2009 –> 2010-2019	9.5313581	4.6065666	83680.235584	142.298500	12	22
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	6329	1.9291950	26292.53141	194.262855	10.2672267	1982-1999 –> 2000-2009	3.6494464	1.7202514	61596.201765	398.534980	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6329	1.9839736	26646.94135	200.210135	11.1098402	1982-1999 –> 2000-2009	3.7538698	1.7698962	62462.492554	433.239644	3	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	6329	1.9815411	26629.41225	121.547280	8.4559333	1982-1999 –> 2000-2009	3.7594888	1.7779477	62524.625497	320.602346	2	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6329	2.0007141	26751.29941	141.844382	9.5542807	1982-1999 –> 2000-2009	3.8545185	1.8538044	63398.223058	366.481092	4	9
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6329	2.0539983	27086.00412	201.912729	12.3224654	1982-1999 –> 2000-2009	3.8740147	1.8200164	63403.974884	448.324006	5	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6329	2.0543486	27086.16251	152.652448	12.0844657	1982-1999 –> 2000-2009	3.9627564	1.9084078	64255.381757	385.164598	6	12
Atlantic	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	6329	2.1721325	27791.85383	274.872669	16.2040659	1982-1999 –> 2000-2009	4.1895696	2.0174371	65960.684320	1270.426898	7	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6329	2.1849223	27866.16707	104.947391	9.4533314	1982-1999 –> 2000-2009	4.3240596	2.1391373	67088.872855	200.124783	8	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate	6329	2.4244097	29182.69767	29.358331	18.9326132	1982-1999 –> 2000-2009	4.6097741	2.1853645	68790.072540	93.141612	10	20
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6329	2.4086155	29099.96569	72.280594	11.2643771	1982-1999 –> 2000-2009	4.7447208	2.3361053	69907.452166	131.935419	9	21
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4623	2.6512981	22148.81229	419.522379	9.6923853	2000-2009 –> 2010-2019	4.5804931	1.9291950	48441.343700	677.955145	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4623	2.6900534	22282.98705	292.286498	10.8345762	2000-2009 –> 2010-2019	4.6740270	1.9839736	48929.928391	492.496633	2	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	4623	2.7331254	22427.85757	160.723424	8.9103404	2000-2009 –> 2010-2019	4.7146666	1.9815411	49057.269825	282.270705	3	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4623	2.7360304	22437.67957	192.697288	8.8154524	2000-2009 –> 2010-2019	4.7367444	2.0007141	49188.978983	334.541670	4	8
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4623	2.7469946	22476.65761	295.415510	11.9091220	2000-2009 –> 2010-2019	4.8009929	2.0539983	49562.661729	497.328239	5	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4623	2.7601157	22518.71622	208.751622	10.9516538	2000-2009 –> 2010-2019	4.8144643	2.0543486	49604.878733	361.404070	6	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	4623	2.8031132	22663.64148	847.957800	13.0115232	2000-2009 –> 2010-2019	4.9240243	2.1209111	50155.428839	1475.546240	7	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4623	2.8075054	22676.11751	422.315357	14.0179583	2000-2009 –> 2010-2019	4.9796379	2.1721325	50467.971344	697.188026	8	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4623	2.8626208	22855.87128	123.712870	11.4660902	2000-2009 –> 2010-2019	5.0475431	2.1849223	50722.038352	228.660261	9	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate	4623	2.9568525	23155.32883	20.759217	18.8035902	2000-2009 –> 2010-2019	5.3812622	2.4244097	52338.026507	50.117548	10	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2657	1.9009022	10967.57353	237.961474	10.7942512	1982-1999 –> 2000-2009	3.3746595	1.4737573	26288.390764	558.993478	1	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2657	1.9037322	10975.47912	277.645598	10.8204203	1982-1999 –> 2000-2009	3.3755277	1.4717955	26285.011141	484.711848	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	2657	1.9136587	11003.11547	455.806210	10.9002560	1982-1999 –> 2000-2009	3.3810113	1.4673527	26287.034678	859.589744	4	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2657	1.9083280	10988.29206	240.746044	10.9088186	1982-1999 –> 2000-2009	3.3814992	1.4731712	26305.739255	453.990128	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2657	1.9359833	11062.74928	202.341737	10.4430819	1982-1999 –> 2000-2009	3.4691340	1.5331507	26716.293309	406.959448	5	25
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2657	2.0172896	11281.36439	277.374066	11.5659342	1982-1999 –> 2000-2009	3.5231338	1.5058443	26782.656321	470.851866	7	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	2657	2.0125504	11268.86568	165.435710	11.1715522	1982-1999 –> 2000-2009	3.5454372	1.5328868	26920.951350	308.251636	6	25
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2657	2.0474540	11360.23619	96.956484	14.1973377	1982-1999 –> 2000-2009	3.5475467	1.5000927	26829.107317	193.726821	14	26
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2657	2.0192139	11286.43110	198.809594	11.2049719	1982-1999 –> 2000-2009	3.5533944	1.5341806	26945.663876	347.512834	8	33
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2657	2.0586811	11389.29549	67.185463	14.3704971	1982-1999 –> 2000-2009	3.5547958	1.4961148	26835.670982	133.828850	18	29
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2675	1.8169311	10800.06760	384.965148	18.2411715	2000-2009 –> 2010-2019	3.7178333	1.9009022	21767.641129	622.926622	4	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2675	1.8147041	10793.50620	304.986573	18.2239104	2000-2009 –> 2010-2019	3.7184363	1.9037322	21768.985317	582.632171	3	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	2675	1.8068213	10770.21597	452.486027	18.1976166	2000-2009 –> 2010-2019	3.7204800	1.9136587	21773.331437	908.292237	1	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2675	1.8131347	10788.87734	241.929843	18.1708198	2000-2009 –> 2010-2019	3.7214627	1.9083280	21777.169406	482.675887	2	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2675	1.9205450	11094.77924	240.914908	20.1921057	2000-2009 –> 2010-2019	3.8565282	1.9359833	22157.528523	443.256645	8	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2675	1.8496624	10893.58793	80.981895	21.2736889	2000-2009 –> 2010-2019	3.8971164	2.0474540	22253.824116	177.938379	5	19
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2675	1.8498758	10894.20525	53.299272	21.4173391	2000-2009 –> 2010-2019	3.9085569	2.0586811	22283.500746	120.484735	6	24
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2675	1.8521266	10900.71066	442.737481	21.9413733	2000-2009 –> 2010-2019	3.9365499	2.0844233	22356.041800	896.830771	7	28
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	2675	1.9451692	11162.93808	143.394903	21.8649401	2000-2009 –> 2010-2019	3.9577196	2.0125504	22431.803759	308.830613	9	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2675	1.9486529	11172.51101	195.724662	22.0186511	2000-2009 –> 2010-2019	3.9678667	2.0192139	22458.942113	394.534257	12	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2691	1.1159987	8241.39991	770.283168	4.4440071	1982-1999 –> 2000-2009	2.3952567	1.2792580	22696.177059	1342.150725	2	3
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	2691	1.1185105	8253.49965	757.209731	4.4667529	1982-1999 –> 2000-2009	2.4005150	1.2820046	22726.875412	1317.855817	4	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2691	1.1149942	8236.55379	687.815532	4.4617795	1982-1999 –> 2000-2009	2.4048159	1.2898216	22762.646823	1298.115297	1	10
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	2691	1.1189257	8255.49736	669.837028	4.4803410	1982-1999 –> 2000-2009	2.4054499	1.2865242	22759.391798	1251.620660	5	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	2691	1.1190277	8253.98805	524.122163	4.4955211	1982-1999 –> 2000-2009	2.4107574	1.2917296	22790.900016	1004.253221	6	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2691	1.1334406	8322.86480	673.590320	4.5626273	1982-1999 –> 2000-2009	2.4179555	1.2845148	22811.204609	1203.332517	11	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2691	1.1290484	8301.96818	228.784812	4.4919829	1982-1999 –> 2000-2009	2.4281362	1.2990878	22888.138643	478.781734	10	24
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	2691	1.1184259	8251.09253	43.441995	4.3310312	1982-1999 –> 2000-2009	2.4702432	1.3518173	23182.300618	100.646924	3	29
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2691	1.1213165	8264.98486	46.501743	4.3812482	1982-1999 –> 2000-2009	2.4795845	1.3582680	23237.475967	103.762725	8	37
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2691	1.1203645	8260.41347	186.877442	4.3805673	1982-1999 –> 2000-2009	2.4804701	1.3601056	23244.629213	331.943680	7	37
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2931	1.4174244	10376.72592	547.024106	12.9546563	2000-2009 –> 2010-2019	2.5334230	1.1159987	18618.125830	1317.307274	3	5
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	2931	1.4167311	10373.85822	544.971771	12.9477564	2000-2009 –> 2010-2019	2.5352416	1.1185105	18627.357865	1302.181502	1	5
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	2931	1.4267134	10415.01711	555.956976	13.0889481	2000-2009 –> 2010-2019	2.5456391	1.1189257	18670.514472	1339.695416	6	11
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2931	1.4334897	10442.79309	517.352435	12.4491703	2000-2009 –> 2010-2019	2.5484839	1.1149942	18679.346879	1205.167967	8	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2931	1.4174249	10374.72836	544.698382	12.9548183	2000-2009 –> 2010-2019	2.5508656	1.1334406	18697.593163	1218.288703	4	15
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2931	1.4453951	10489.27725	416.287324	13.2732994	2000-2009 –> 2010-2019	2.5644229	1.1190277	18743.265306	693.364742	10	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2931	1.4696388	10586.78550	246.879826	9.2985797	2000-2009 –> 2010-2019	2.5986872	1.1290484	18888.753682	475.664638	13	23
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	2931	1.5124217	10754.99820	42.313172	5.6014379	2000-2009 –> 2010-2019	2.6308475	1.1184259	19006.090728	85.755167	16	19
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2931	1.5124957	10755.28498	114.414260	5.5580227	2000-2009 –> 2010-2019	2.6328602	1.1203645	19015.698456	301.291702	17	24
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2931	1.5208230	10787.47095	43.642855	5.8038827	2000-2009 –> 2010-2019	2.6421396	1.1213165	19052.455813	90.144598	20	28
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1875	0.4657038	2467.24920	129.653608	2.7955917	1982-1999 –> 2000-2009	0.8227250	0.3570212	4178.306394	210.710272	1	3
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1875	0.4666865	2475.15340	34.323133	2.8087081	1982-1999 –> 2000-2009	0.8241130	0.3574265	4191.166998	55.372286	2	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1875	0.4692802	2495.93754	35.520663	2.8133254	1982-1999 –> 2000-2009	0.8293728	0.3600925	4244.410878	56.656305	3	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	1875	0.4739572	2533.12594	842.030065	3.0842119	1982-1999 –> 2000-2009	0.8306400	0.3566828	4240.041722	1015.951294	4	5
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	1875	0.4771072	2555.96646	34.290970	3.0193653	1982-1999 –> 2000-2009	0.8358227	0.3587156	4285.704893	53.770656	5	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1875	0.4861946	2628.72051	142.359555	3.2620448	1982-1999 –> 2000-2009	0.8538923	0.3676977	4468.485506	194.072531	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1875	0.4900109	2658.04101	59.943176	3.2063271	1982-1999 –> 2000-2009	0.8682547	0.3782437	4621.322864	92.916921	7	14
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	1875	0.4902047	2657.52401	49.138508	3.1685930	1982-1999 –> 2000-2009	0.8714086	0.3812038	4652.856449	75.658657	8	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	1875	0.5911240	3359.53368	29.269051	3.2389199	1982-1999 –> 2000-2009	1.0231615	0.4320375	5901.644290	40.686165	14	31
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1875	0.5650749	3192.53069	26.542366	3.8255453	1982-1999 –> 2000-2009	1.0265453	0.4614704	6024.516609	49.342920	9	29
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1484	0.5102178	2226.19021	46.940180	1.7337184	2000-2009 –> 2010-2019	0.9759216	0.4657038	4693.439417	176.593788	2	3
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1484	0.5102680	2226.48241	15.795471	1.7456828	2000-2009 –> 2010-2019	0.9769545	0.4666865	4701.635811	50.118604	3	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1484	0.5058321	2200.56763	208.229685	2.0359103	2000-2009 –> 2010-2019	0.9797893	0.4739572	4733.693564	1066.409503	1	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1484	0.5109319	2230.34104	15.216992	1.7374349	2000-2009 –> 2010-2019	0.9802121	0.4692802	4726.278572	50.737655	5	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	1484	0.5103721	2225.08737	13.581097	1.8021012	2000-2009 –> 2010-2019	0.9874792	0.4771072	4781.053831	47.872067	4	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1484	0.5257119	2314.97964	47.912953	1.9500491	2000-2009 –> 2010-2019	1.0119064	0.4861946	4943.700151	190.272508	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1484	0.5360551	2372.80706	37.536168	1.9605347	2000-2009 –> 2010-2019	1.0260660	0.4900109	5030.848067	97.479344	7	14
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	1484	0.5362838	2372.07292	26.624604	1.9900975	2000-2009 –> 2010-2019	1.0264885	0.4902047	5029.596925	75.763111	8	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	1484	0.5383293	2383.37208	10.327095	2.3634437	2000-2009 –> 2010-2019	1.1294532	0.5911240	5742.905761	39.596147	9	23
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1484	0.6486907	2938.86120	15.910615	3.4436991	2000-2009 –> 2010-2019	1.2137655	0.5650749	6131.391891	42.452980	25	34
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3027	0.3710070	2601.50516	371.924246	2.5788952	1982-1999 –> 2000-2009	0.6018425	0.2308355	2312.862466	657.308788	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	3027	0.3712987	2606.26275	248.074279	2.5771772	1982-1999 –> 2000-2009	0.6021616	0.2308630	2318.383261	509.003290	2	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3027	0.3719894	2617.51491	250.489357	2.5732957	1982-1999 –> 2000-2009	0.6033159	0.2313265	2342.520253	512.547060	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3027	0.3739253	2648.93853	557.759423	2.5847414	1982-1999 –> 2000-2009	0.6053803	0.2314550	2377.511866	1168.626785	4	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate	3027	0.3795298	2737.00518	244.593891	3.0428729	1982-1999 –> 2000-2009	0.6253877	0.2458579	2851.384382	497.108279	5	26
Atlantic	(28.2, Inf]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	3027	0.4281722	3467.07058	240.345947	4.6629769	1982-1999 –> 2000-2009	0.6660155	0.2378433	3368.548268	482.357572	6	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3027	0.4287818	3475.68398	242.416427	4.8559194	1982-1999 –> 2000-2009	0.6666437	0.2378619	3377.663720	483.515572	7	19
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3027	0.4290190	3479.03126	255.964735	4.9210022	1982-1999 –> 2000-2009	0.6676233	0.2386044	3401.031246	516.221665	8	24
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	3027	0.4292217	3481.89123	255.845917	4.9710332	1982-1999 –> 2000-2009	0.6677462	0.2385246	3401.742188	515.639035	9	24
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + phosphate	3027	0.5639197	5134.26006	181.035943	5.1166837	1982-1999 –> 2000-2009	0.7967718	0.2328521	4899.492771	265.969414	18	26
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1525	0.2188193	-292.73953	279.919859	2.6732763	2000-2009 –> 2010-2019	0.5901180	0.3712987	2313.523211	648.357013	1	3
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1525	0.2193811	-284.91996	281.120375	2.6750908	2000-2009 –> 2010-2019	0.5903881	0.3710070	2316.585199	653.044621	2	3
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	1525	0.2204094	-270.65680	284.231432	2.6814605	2000-2009 –> 2010-2019	0.5943347	0.3739253	2378.281723	655.229324	5	9
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1525	0.2224481	-242.57447	252.233591	2.6713336	2000-2009 –> 2010-2019	0.5944376	0.3719894	2374.940437	502.722949	7	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate	1525	0.2400747	-11.99358	254.410251	2.8126920	2000-2009 –> 2010-2019	0.6196045	0.3795298	2725.011597	499.004142	14	19
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1525	0.2197513	-281.77709	209.965877	2.6482467	2000-2009 –> 2010-2019	0.6489730	0.4292217	3200.114139	450.789730	3	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1525	0.2202196	-275.28453	280.653509	2.6513754	2000-2009 –> 2010-2019	0.6492385	0.4290190	3203.746727	536.618244	4	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	1525	0.2213734	-259.34583	283.630431	2.6560849	2000-2009 –> 2010-2019	0.6495456	0.4281722	3207.724746	539.846825	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1525	0.2233237	-232.59358	208.484171	2.6468596	2000-2009 –> 2010-2019	0.6521055	0.4287818	3243.090394	450.900598	8	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	1525	0.2381226	-36.89486	23.162386	2.5867919	2000-2009 –> 2010-2019	0.8036227	0.5655001	5114.308216	110.343694	9	29
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	4291	7.9674783	30002.13909	84.704315	120.1627919	1982-1999 –> 2000-2009	17.2292296	9.2617513	52752.599163	233.152658	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4291	8.0326729	30070.07625	81.104066	106.8397362	1982-1999 –> 2000-2009	17.8587612	9.8260883	53187.500073	216.461858	2	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4291	8.4694724	30526.50077	68.890662	119.3746370	1982-1999 –> 2000-2009	18.1319297	9.6624572	53541.170284	140.198481	4	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4291	8.3906461	30446.25314	69.007894	124.7122586	1982-1999 –> 2000-2009	18.1496366	9.7589905	53522.934455	136.626021	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	4291	8.5797047	30635.47694	34.338228	101.3449019	1982-1999 –> 2000-2009	18.6661728	10.0864681	53916.048257	77.971591	5	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	4291	9.0375993	31083.69012	68.214363	115.8714496	1982-1999 –> 2000-2009	19.2373086	10.1997094	54435.905534	137.021014	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4291	9.2255041	31258.29279	31.121593	90.8836175	1982-1999 –> 2000-2009	19.6806479	10.4551438	54762.804262	73.110907	7	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4291	10.8428068	32644.54372	68.794894	125.0126104	1982-1999 –> 2000-2009	21.7108464	10.8680397	56390.667007	137.389501	10	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4291	10.8486120	32649.13725	68.973481	122.9958736	1982-1999 –> 2000-2009	21.7333260	10.8847140	56404.823892	136.522748	11	20
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	4291	10.8229527	32628.81499	67.847689	123.6512378	1982-1999 –> 2000-2009	21.8577458	11.0347930	56469.923944	136.571496	8	19
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	5555	8.8463446	39998.25520	87.161238	95.5021015	2000-2009 –> 2010-2019	16.8138229	7.9674783	70000.394291	171.865553	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5555	8.9809630	40164.04712	80.099547	117.5257581	2000-2009 –> 2010-2019	17.0136358	8.0326729	70234.123364	161.203613	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5555	9.1871029	40418.17226	67.290561	116.7870025	2000-2009 –> 2010-2019	17.5777491	8.3906461	70864.425398	136.298455	4	7
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5555	9.1720083	40399.90328	75.151747	109.7958431	2000-2009 –> 2010-2019	17.6414808	8.4694724	70926.404053	144.042409	3	7
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5555	9.1872383	40416.33599	35.855122	117.4370608	2000-2009 –> 2010-2019	17.7669430	8.5797047	71051.812929	70.193350	5	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	5555	10.0112624	41372.63296	79.386855	115.6534277	2000-2009 –> 2010-2019	19.0488617	9.0375993	72456.323079	147.601217	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5555	10.0380975	41400.37335	34.198150	104.4319080	2000-2009 –> 2010-2019	19.2636016	9.2255041	72658.666144	65.319743	7	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5555	10.7446651	42156.09508	74.604901	124.8132265	2000-2009 –> 2010-2019	21.5874719	10.8428068	74800.638801	143.399796	9	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5555	10.7445571	42155.98346	67.234052	125.2480733	2000-2009 –> 2010-2019	21.5931691	10.8486120	74805.120707	136.207533	8	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	5555	10.7515092	42161.16964	35.522328	130.3310951	2000-2009 –> 2010-2019	21.6057342	10.8542250	74812.746065	68.693422	10	22
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3503	8.2676665	24754.22364	542.484223	35.7051639	1982-1999 –> 2000-2009	16.0533470	7.7856805	49316.725021	1276.866309	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3503	8.3522012	24825.49439	104.295054	39.8789012	1982-1999 –> 2000-2009	16.3273278	7.9751266	49558.015899	193.462943	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3503	8.4862492	24937.04384	26.152290	47.8338789	1982-1999 –> 2000-2009	16.6394882	8.1532390	49825.769976	48.678232	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3503	8.6059922	25035.20924	50.318264	53.0699922	1982-1999 –> 2000-2009	16.8927923	8.2868001	50038.845613	91.391178	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3503	9.6251333	25817.31372	493.415896	38.3666251	1982-1999 –> 2000-2009	18.6849141	9.0597808	51449.638363	1149.187658	5	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	3503	10.2950147	26288.69171	380.847926	44.7479165	1982-1999 –> 2000-2009	18.8401064	8.5450917	51507.390053	747.936005	11	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3503	10.2610566	26265.54419	104.114179	53.6103582	1982-1999 –> 2000-2009	18.9067047	8.6456482	51566.978185	193.234712	9	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	3503	9.7730972	25924.19516	103.080842	42.3393733	1982-1999 –> 2000-2009	18.9251608	9.1520636	51628.190679	183.125998	6	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3503	10.2834268	26280.80145	26.125820	61.8878868	1982-1999 –> 2000-2009	19.0851952	8.8017684	51708.799902	48.640447	10	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3503	9.9296461	26035.53035	24.513618	50.7492849	1982-1999 –> 2000-2009	19.2106616	9.2810155	51838.474358	41.599979	7	18
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3222	9.3222423	23543.24609	590.879241	39.2811294	2000-2009 –> 2010-2019	17.5899089	8.2676665	48297.469732	1527.609749	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3222	9.8042531	23868.10799	67.755957	46.2859119	2000-2009 –> 2010-2019	18.1564543	8.3522012	48693.602387	172.051011	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3222	10.1513816	24092.31753	21.284911	55.7473489	2000-2009 –> 2010-2019	18.6376308	8.4862492	49029.361369	47.437202	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3222	10.4603374	24285.51448	65.244829	62.8305809	2000-2009 –> 2010-2019	19.0663296	8.6059922	49320.723719	166.274998	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate	3222	11.1806480	24712.64433	339.022866	52.9068126	2000-2009 –> 2010-2019	20.8057812	9.6251333	50529.958044	832.438761	5	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	3222	11.7002704	25005.37933	58.460347	53.2504623	2000-2009 –> 2010-2019	21.4733676	9.7730972	50929.574487	161.541189	8	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	3222	11.4184375	24848.25800	275.598745	53.3932700	2000-2009 –> 2010-2019	21.7134522	10.2950147	51136.949705	656.446671	6	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3222	11.6837429	24996.27029	67.705364	66.2567595	2000-2009 –> 2010-2019	21.9447995	10.2610566	51261.814481	171.819543	7	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3222	12.0803107	25211.36154	16.468905	62.8310025	2000-2009 –> 2010-2019	22.0099568	9.9296461	51246.891890	40.982523	10	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	3222	12.1850212	25266.97655	18.513061	64.6860249	2000-2009 –> 2010-2019	22.1678393	9.9828181	51339.923108	42.932743	11	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3262	8.1300685	22942.64940	184.500670	37.5804656	1982-1999 –> 2000-2009	16.0858354	7.9557669	44863.714283	369.352346	3	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3262	8.1247815	22938.40547	56.513290	37.6038981	1982-1999 –> 2000-2009	16.1064458	7.9816643	44879.853588	110.829683	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3262	8.1135548	22929.38447	178.919754	37.6322851	1982-1999 –> 2000-2009	16.1686285	8.0550737	44928.254151	368.660046	1	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3262	8.2288394	23019.43088	40.400654	38.7578839	1982-1999 –> 2000-2009	16.8166904	8.5878510	45417.999357	73.469761	4	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3262	8.5857771	23296.45315	140.732311	34.4355732	1982-1999 –> 2000-2009	16.9297450	8.3439679	45514.327415	265.313889	18	24
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate	3262	8.4856011	23219.88570	184.425663	37.7180978	1982-1999 –> 2000-2009	17.0548930	8.5692919	45604.885111	346.256943	11	25
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3262	8.4905028	23223.65315	54.296505	37.6368598	1982-1999 –> 2000-2009	17.0656015	8.5750987	45612.901265	103.278908	12	27
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3262	8.5863419	23296.88225	20.720540	36.5877430	1982-1999 –> 2000-2009	17.0687221	8.4823802	45617.944891	36.725979	19	29
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3262	8.5726093	23286.43973	29.076251	37.0282406	1982-1999 –> 2000-2009	17.0974977	8.5248885	45638.855103	52.922242	15	27
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	3262	8.4678991	23206.26165	178.429408	37.5598238	1982-1999 –> 2000-2009	17.1090598	8.6411607	45643.643651	344.623047	10	27
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2648	11.2298683	20337.48248	193.854906	35.6323336	2000-2009 –> 2010-2019	19.3434231	8.1135548	43266.866950	372.774660	3	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2648	11.2290753	20337.10848	55.103858	35.6215851	2000-2009 –> 2010-2019	19.3538568	8.1247815	43275.513950	111.617148	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	2648	11.2288599	20337.00690	198.450523	35.6224172	2000-2009 –> 2010-2019	19.3589284	8.1300685	43279.656301	382.951193	1	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2648	11.2445441	20342.39905	28.795678	36.0065732	2000-2009 –> 2010-2019	19.4733835	8.2288394	43361.829931	69.196332	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2648	11.2560036	20347.79358	515.870889	36.3365886	2000-2009 –> 2010-2019	19.4875687	8.2315651	43369.385079	1308.227055	9	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2648	11.2527262	20346.25132	22.745220	36.4638848	2000-2009 –> 2010-2019	19.5270330	8.2743068	43401.630493	54.671724	7	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2648	11.2526886	20346.23358	25.209111	36.4656873	2000-2009 –> 2010-2019	19.5293031	8.2766146	43403.432086	60.708630	6	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate	2648	11.2524087	20346.10188	21.155008	36.3789415	2000-2009 –> 2010-2019	19.5467653	8.2943565	43417.270442	51.036107	5	13
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + nitrate	2648	11.2529295	20344.34699	20.992115	36.4425424	2000-2009 –> 2010-2019	19.5473010	8.2943715	43413.527335	50.593662	8	17
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	2648	11.2731704	20355.86446	62.641517	35.3831770	2000-2009 –> 2010-2019	19.8457797	8.5726093	43642.304184	162.389444	10	25
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4020	6.2088633	26101.12766	751.327632	25.4175657	1982-1999 –> 2000-2009	11.7339555	5.5250921	50719.851376	1447.819176	1	12
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	4020	6.2436716	26148.07579	47.152609	24.2392163	1982-1999 –> 2000-2009	11.7477275	5.5040559	50738.793324	102.910164	2	3
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	4020	6.2437363	26146.15907	52.488346	24.2773623	1982-1999 –> 2000-2009	11.7520404	5.5083041	50740.945534	105.122221	3	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4020	6.2447411	26147.45294	28.824552	24.1974851	1982-1999 –> 2000-2009	11.7533095	5.5085683	50742.616637	64.375332	4	7
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	4020	6.2449905	26145.77402	12.410053	24.0856015	1982-1999 –> 2000-2009	11.7710192	5.5260287	50763.830995	22.823811	5	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4020	6.2648344	26175.28120	81.595061	24.2520557	1982-1999 –> 2000-2009	11.7747756	5.5099411	50774.404987	171.604650	6	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4020	6.2652552	26175.82111	40.897200	24.3139304	1982-1999 –> 2000-2009	11.7795100	5.5142549	50781.100787	88.164721	7	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4020	6.2689060	26178.50479	17.156090	24.0321880	1982-1999 –> 2000-2009	11.7832502	5.5143442	50781.911826	29.093711	9	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4020	6.2741838	26185.27074	62.980966	23.6938020	1982-1999 –> 2000-2009	11.7846904	5.5105066	50783.201761	131.315366	10	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	4020	6.2656394	26174.31422	24.506449	24.2876951	1982-1999 –> 2000-2009	11.7867225	5.5210831	50787.328200	56.113955	8	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	3855	6.9778236	25932.51881	37.834336	26.5454160	2000-2009 –> 2010-2019	13.2214952	6.2436716	52080.594601	84.986945	1	3
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3855	7.0165482	25975.18850	32.344884	26.2280976	2000-2009 –> 2010-2019	13.2818034	6.2652552	52151.009609	73.242083	3	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + phosphate	3855	6.9984541	25953.28042	51.040497	27.6967059	2000-2009 –> 2010-2019	13.3206336	6.3221795	52199.820836	136.875111	2	15
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3855	7.0667795	26030.18760	60.143000	25.6595592	2000-2009 –> 2010-2019	13.3316140	6.2648344	52205.468802	141.738060	7	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3855	7.1222836	26088.50711	39.031990	25.1117966	2000-2009 –> 2010-2019	13.3964674	6.2741838	52273.777854	102.012956	11	21
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	3855	7.0374158	25996.08440	11.019625	26.3621628	2000-2009 –> 2010-2019	13.4065967	6.3691809	52302.176018	29.211575	4	29
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3855	7.0474383	26007.05698	24.523648	27.6121873	2000-2009 –> 2010-2019	13.4112003	6.3637620	52306.305309	59.167135	6	25
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3855	7.1489904	26117.36360	9.059009	24.6811593	2000-2009 –> 2010-2019	13.4178964	6.2689060	52295.868384	26.215099	13	22
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3855	7.1812510	26152.07754	9.524445	24.6960783	2000-2009 –> 2010-2019	13.4249873	6.2437363	52298.236617	26.465091	15	18
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + oxygen + phosphate_star	3855	7.0399701	25996.88232	8.331550	26.8216151	2000-2009 –> 2010-2019	13.4362365	6.3962664	52335.092252	19.218798	5	33
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5165	4.4543198	30103.35732	148.931179	15.4568649	1982-1999 –> 2000-2009	7.9607835	3.5064636	56997.194367	268.923941	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5165	4.4575586	30108.86553	50.731148	15.8245122	1982-1999 –> 2000-2009	7.9829635	3.5254050	57054.866402	99.571012	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5165	4.4636723	30123.02390	706.749243	16.8062238	1982-1999 –> 2000-2009	7.9923356	3.5286633	57078.312828	1320.182456	3	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	5165	4.4771392	30156.14248	35.194233	15.3108120	1982-1999 –> 2000-2009	8.0068451	3.5297059	57116.401732	85.489199	4	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	5165	4.4771573	30154.18423	19.025647	15.2842952	1982-1999 –> 2000-2009	8.0093626	3.5322053	57119.560187	27.826567	5	10
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5165	4.4832704	30170.27922	34.976001	15.3840482	1982-1999 –> 2000-2009	8.0177673	3.5344969	57144.175753	79.742258	6	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5165	4.4846049	30171.35368	21.570858	15.1587762	1982-1999 –> 2000-2009	8.0198141	3.5352092	57145.276152	30.864885	7	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5165	4.4933617	30191.50475	102.783729	16.7690475	1982-1999 –> 2000-2009	8.0263878	3.5330261	57159.216547	194.607601	8	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	5165	4.5184046	30248.91716	78.724763	14.4503558	1982-1999 –> 2000-2009	8.0843687	3.5659641	57309.927150	122.809172	10	22
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	5165	4.5244664	30262.76649	27.629016	16.7654346	1982-1999 –> 2000-2009	8.0864150	3.5619486	57312.448645	41.700666	11	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4817	4.9452312	29083.26797	103.037875	16.1460410	2000-2009 –> 2010-2019	9.3995510	4.4543198	59186.625286	251.969054	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4817	4.9581599	29106.42204	37.531250	16.8254213	2000-2009 –> 2010-2019	9.4157185	4.4575586	59215.287565	88.262398	5	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	4817	4.9599442	29109.88841	518.579322	16.6882699	2000-2009 –> 2010-2019	9.4236165	4.4636723	59232.912305	1225.328565	6	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4817	4.9502833	29093.10511	32.021494	15.9730324	2000-2009 –> 2010-2019	9.4274225	4.4771392	59249.247588	67.215727	2	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	4817	4.9623706	29114.60010	10.688897	16.6061357	2000-2009 –> 2010-2019	9.4395278	4.4771573	59268.784333	29.714544	9	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4817	4.9511257	29092.74435	74.550850	16.6209141	2000-2009 –> 2010-2019	9.4444874	4.4933617	59284.249106	177.334579	3	11
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4817	4.9633522	29118.50557	27.886361	16.0614588	2000-2009 –> 2010-2019	9.4466225	4.4832704	59288.784786	62.862363	11	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4817	4.9678248	29125.18312	12.014857	16.4416387	2000-2009 –> 2010-2019	9.4524297	4.4846049	59296.536794	33.585715	12	19
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4817	4.9602563	29110.49458	16.942196	16.5936585	2000-2009 –> 2010-2019	9.4847228	4.5244664	59373.261071	44.571212	7	18
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4817	4.9716487	29132.59600	16.919584	16.6274256	2000-2009 –> 2010-2019	9.4992824	4.5276337	59402.591291	44.358842	14	26
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6886	3.2924856	35966.92603	384.270443	16.1303115	1982-1999 –> 2000-2009	6.3182288	3.0257432	67142.837348	630.920621	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6886	3.3207513	36084.65286	69.381151	16.8581165	1982-1999 –> 2000-2009	6.3987170	3.0779657	67471.659597	115.457383	2	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	6886	3.3268741	36110.02190	413.245451	16.9672411	1982-1999 –> 2000-2009	6.4092351	3.0823611	67514.632057	690.961734	3	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6886	3.4167177	36475.00751	64.319761	15.5492899	1982-1999 –> 2000-2009	6.4704081	3.0536904	67762.336882	117.083840	5	7
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	6886	3.3963890	36392.82221	13.246943	15.9695513	1982-1999 –> 2000-2009	6.4941394	3.0977504	67856.869227	31.737788	4	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	6886	3.4439251	36584.23982	105.292815	15.4231202	1982-1999 –> 2000-2009	6.5236863	3.0797612	67976.440538	150.396263	6	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	6886	3.4464756	36592.43535	53.375800	15.4100958	1982-1999 –> 2000-2009	6.5287381	3.0822625	67992.651070	84.474839	7	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6886	3.4620297	36656.44920	269.021524	14.1554943	1982-1999 –> 2000-2009	6.5421061	3.0800764	68049.912395	435.157185	9	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6886	3.4609950	36652.33219	8.267850	15.8482558	1982-1999 –> 2000-2009	6.5762398	3.1152448	68185.850211	20.422007	8	17
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6886	3.4633135	36661.55521	8.895125	15.9095663	1982-1999 –> 2000-2009	6.5802318	3.1169183	68201.698300	21.397327	10	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6263	3.4925040	33452.87715	284.984172	13.5450081	2000-2009 –> 2010-2019	6.7849896	3.2924856	69419.803180	669.254616	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6263	3.5081668	33508.92660	45.828726	13.7552146	2000-2009 –> 2010-2019	6.8289181	3.3207513	69593.579459	115.209877	8	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6263	3.5021875	33487.55939	45.729479	13.8410366	2000-2009 –> 2010-2019	6.8290616	3.3268741	69597.581292	115.625879	5	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6263	3.4946886	33458.70967	45.465627	13.6609040	2000-2009 –> 2010-2019	6.9114063	3.4167177	69933.717176	109.785388	3	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	6263	3.5319346	33591.50428	13.571705	14.5313520	2000-2009 –> 2010-2019	6.9283236	3.3963890	69984.326491	26.818648	15	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	6263	3.4944681	33457.91930	56.118482	13.6219964	2000-2009 –> 2010-2019	6.9383932	3.4439251	70042.159120	161.411297	2	8
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	6263	3.4947452	33456.91271	33.852834	13.6714258	2000-2009 –> 2010-2019	6.9412208	3.4464756	70049.348067	87.228634	4	11
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6263	3.5110042	33517.05367	7.608919	13.8277205	2000-2009 –> 2010-2019	6.9719992	3.4609950	70169.385861	15.876769	10	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6263	3.5139901	33527.70168	8.090623	13.8688648	2000-2009 –> 2010-2019	6.9773036	3.4633135	70189.256890	16.985748	11	21
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	6263	3.5050210	33495.68945	11.861710	13.5959519	2000-2009 –> 2010-2019	6.9958097	3.4907887	70266.069602	37.008943	6	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	7603	1.8731673	31134.13221	994.303762	12.8337518	1982-1999 –> 2000-2009	3.9513481	2.0781808	61486.419088	1677.044665	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	7603	1.8939910	31300.24272	501.610770	12.7023005	1982-1999 –> 2000-2009	3.9889159	2.0949249	61763.743118	867.080627	2	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7603	1.9117798	31444.39412	216.454926	13.6483573	1982-1999 –> 2000-2009	4.0575016	2.1457218	62247.898198	358.100146	3	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	7603	1.9308298	31593.16479	98.974922	13.4474775	1982-1999 –> 2000-2009	4.0874793	2.1566495	62466.335705	155.689038	6	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7603	1.9221631	31526.75749	123.447677	13.9134059	1982-1999 –> 2000-2009	4.0953579	2.1731949	62509.748878	165.152354	4	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	7603	1.9272910	31567.27004	131.923281	14.0010990	1982-1999 –> 2000-2009	4.1079789	2.1806879	62598.821466	178.014263	5	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	7603	2.0343252	32387.13532	976.125246	11.1453702	1982-1999 –> 2000-2009	4.1125121	2.0781870	62737.463901	1573.477723	10	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7603	1.9415595	31677.43099	5.145653	13.7123358	1982-1999 –> 2000-2009	4.1238890	2.1823295	62717.598832	10.319208	7	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate	7603	1.9440158	31696.65678	104.942512	13.7563126	1982-1999 –> 2000-2009	4.1312390	2.1872231	62768.424681	167.242519	8	23
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + phosphate_star	7603	2.0469690	32479.35171	465.713653	11.0711324	1982-1999 –> 2000-2009	4.1419097	2.0949407	62940.959048	745.424836	11	15
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	7518	2.1552266	32893.24190	397.830887	14.7713913	2000-2009 –> 2010-2019	4.0492176	1.8939910	64193.484621	845.772644	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7518	2.1993201	33199.75710	231.978148	13.9397789	2000-2009 –> 2010-2019	4.1110999	1.9117798	64644.151222	448.433075	4	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7518	2.2174678	33323.31783	90.214385	13.7224135	2000-2009 –> 2010-2019	4.1396309	1.9221631	64850.075323	213.662061	6	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	7518	2.2096592	33268.27624	84.592232	13.0142310	2000-2009 –> 2010-2019	4.1404890	1.9308298	64861.441026	183.567154	5	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	7518	2.2234984	33364.15374	252.535649	13.7571108	2000-2009 –> 2010-2019	4.1507894	1.9272910	64931.423778	483.245523	7	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7518	2.2272254	33387.33610	6.145773	13.3448818	2000-2009 –> 2010-2019	4.1687849	1.9415595	65064.767085	11.291426	8	14
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7518	2.2303528	33408.43430	4.886704	13.3906645	2000-2009 –> 2010-2019	4.1743686	1.9440158	65105.091081	9.022556	9	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	7518	2.1757597	33035.81346	989.175598	17.0578738	2000-2009 –> 2010-2019	4.2100848	2.0343252	65422.948785	1965.300844	2	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + phosphate_star	7518	2.1915556	33142.58030	403.532083	15.1472555	2000-2009 –> 2010-2019	4.2385246	2.0469690	65621.932011	869.245736	3	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7518	2.2537691	33565.47281	6.477709	12.8970632	2000-2009 –> 2010-2019	4.2399829	1.9862138	65588.668997	11.550173	10	18
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	3643	1.0298279	10566.53435	908.211503	5.3589821	1982-1999 –> 2000-2009	2.3113509	1.2815230	21652.666922	1536.193433	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	3643	1.0298586	10564.75135	853.654197	5.3518372	1982-1999 –> 2000-2009	2.3113912	1.2815326	21648.933747	1408.279704	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3643	1.0340760	10596.52771	805.920543	5.3879218	1982-1999 –> 2000-2009	2.3156189	1.2815429	21682.763380	1378.487218	5	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3643	1.0343757	10596.63867	789.227038	5.3659637	1982-1999 –> 2000-2009	2.3159700	1.2815943	21681.140985	1320.383495	6	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3643	1.0349838	10602.92111	874.169413	5.3759113	1982-1999 –> 2000-2009	2.3168531	1.2818693	21690.848076	1474.350959	7	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3643	1.0353295	10603.35422	847.618504	5.3507958	1982-1999 –> 2000-2009	2.3173016	1.2819720	21689.813781	1400.107231	8	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3643	1.0514060	10717.62132	912.663731	5.8695174	1982-1999 –> 2000-2009	2.3382921	1.2868860	21831.492056	1764.374590	11	18
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	3643	1.0531831	10727.92589	902.592064	5.6292083	1982-1999 –> 2000-2009	2.3404587	1.2872755	21841.806466	1445.551231	12	20
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3643	1.0321807	10581.16139	108.287319	5.2294284	1982-1999 –> 2000-2009	2.3460705	1.3138898	21830.964235	203.603252	3	20
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	3643	1.0321825	10579.17370	106.782561	5.2306485	1982-1999 –> 2000-2009	2.3475046	1.3153221	21834.213326	198.874099	4	22
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3950	1.1877272	12580.74246	971.812857	12.6534655	2000-2009 –> 2010-2019	2.2175858	1.0298586	23145.493809	1830.384640	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3950	1.1886311	12586.75254	157.396740	11.8497581	2000-2009 –> 2010-2019	2.2208118	1.0321807	23167.913926	265.684059	2	4
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	3950	1.1896745	12591.68460	149.488337	11.9357961	2000-2009 –> 2010-2019	2.2218570	1.0321825	23170.858302	256.270898	7	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3950	1.1891162	12591.97620	986.371787	13.1095629	2000-2009 –> 2010-2019	2.2231923	1.0340760	23188.503916	1792.292330	4	8
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3950	1.1888459	12590.18042	999.889012	13.1334373	2000-2009 –> 2010-2019	2.2238298	1.0349838	23193.101527	1874.058425	3	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3950	1.1896546	12593.55247	959.686678	13.1307051	2000-2009 –> 2010-2019	2.2240303	1.0343757	23190.191138	1748.913716	6	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3950	1.1894581	12592.24732	957.648541	13.1445617	2000-2009 –> 2010-2019	2.2247876	1.0353295	23195.601533	1805.267045	5	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3950	1.1900989	12596.50226	151.354876	12.5650085	2000-2009 –> 2010-2019	2.2301567	1.0400578	23233.055385	257.963656	8	16
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3950	1.1905188	12597.28878	144.556599	12.6155355	2000-2009 –> 2010-2019	2.2306519	1.0401331	23232.369447	249.876740	9	18
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3950	1.1982898	12652.68782	987.548622	14.2531130	2000-2009 –> 2010-2019	2.2496958	1.0514060	23370.309147	1900.212353	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	4823	0.9843016	13548.45336	768.834697	10.7274863	1982-1999 –> 2000-2009	2.1508242	1.1665226	26891.764608	1474.723560	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4823	0.9873741	13578.51629	603.559768	10.3533912	1982-1999 –> 2000-2009	2.1553682	1.1679941	26932.510643	1029.211122	2	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	4823	0.9896221	13598.45308	616.596637	10.8991432	1982-1999 –> 2000-2009	2.1561898	1.1665677	26940.091863	1020.922550	3	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4823	0.9903514	13607.55895	487.068397	10.1973325	1982-1999 –> 2000-2009	2.1614685	1.1711171	26984.180985	882.954454	4	10
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	4823	0.9907993	13611.91996	529.358056	10.1623795	1982-1999 –> 2000-2009	2.1617419	1.1709427	26987.279540	958.342707	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4823	0.9985894	13685.46517	602.655401	10.4953567	1982-1999 –> 2000-2009	2.1675412	1.1689518	27044.404878	956.212719	10	14
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4823	0.9966480	13666.69294	5.024570	9.8174058	1982-1999 –> 2000-2009	2.1687282	1.1720802	27048.281132	12.013890	9	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4823	1.0048829	13746.06676	484.115078	10.3764190	1982-1999 –> 2000-2009	2.1783284	1.1734455	27137.519728	818.390791	12	21
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4823	1.0056707	13753.62617	524.844826	10.3321525	1982-1999 –> 2000-2009	2.1787387	1.1730680	27142.352762	891.277340	14	22
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	4823	1.0099875	13792.94302	4.504099	10.0245952	1982-1999 –> 2000-2009	2.1862342	1.1762466	27202.600380	8.487604	18	28
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	5595	0.8494697	14066.35218	789.010325	4.6261473	2000-2009 –> 2010-2019	1.8337713	0.9843016	27614.805547	1557.845022	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	5595	0.8495152	14064.95102	561.798177	4.5934733	2000-2009 –> 2010-2019	1.8391373	0.9896221	27663.404103	1178.394814	2	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5595	0.8558437	14150.00305	523.244007	4.8444736	2000-2009 –> 2010-2019	1.8432178	0.9873741	27728.519340	1126.803775	5	7
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	5595	0.8562404	14153.18784	84.006808	4.7748655	2000-2009 –> 2010-2019	1.8484214	0.9921810	27776.550553	160.718531	6	12
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5595	0.8588285	14188.95998	485.158383	4.9314057	2000-2009 –> 2010-2019	1.8491799	0.9903514	27796.518933	972.226780	9	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	5595	0.8506659	14080.09783	784.726880	4.7475910	2000-2009 –> 2010-2019	1.8498012	0.9991353	27770.834718	1545.234951	3	14
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	5595	0.8599365	14203.38762	527.215380	4.9454091	2000-2009 –> 2010-2019	1.8507357	0.9907993	27815.307585	1056.573435	10	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5595	0.8606757	14211.00239	5.163171	4.7885219	2000-2009 –> 2010-2019	1.8529279	0.9922522	27835.057295	9.911849	11	18
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5595	0.8618706	14226.52711	5.460662	4.7923114	2000-2009 –> 2010-2019	1.8543864	0.9925158	27853.144203	10.473771	13	21
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5595	0.8576344	14171.39069	515.813574	4.6405605	2000-2009 –> 2010-2019	1.8562238	0.9985894	27856.855852	1118.468975	7	17
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8638	1.0395095	25197.00887	720.303255	6.6359930	1982-1999 –> 2000-2009	2.1849341	1.1454246	50425.359914	1094.043461	1	2
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8638	1.0468392	25318.39750	515.521495	6.4831112	1982-1999 –> 2000-2009	2.1962036	1.1493643	50602.434573	917.545917	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8638	1.0478160	25334.50935	480.911846	6.4804252	1982-1999 –> 2000-2009	2.1988047	1.1509887	50641.451209	833.934526	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	8638	1.0525239	25409.95704	18.269907	6.6533329	1982-1999 –> 2000-2009	2.2512152	1.1986913	51373.497106	29.668459	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	8638	1.0816818	25882.04251	18.022200	6.9521982	1982-1999 –> 2000-2009	2.3669014	1.2852196	52975.964288	30.247167	7	15
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	8638	1.0814273	25877.97757	14.099161	6.9905894	1982-1999 –> 2000-2009	2.3693130	1.2878857	53005.507125	24.577275	6	15
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	8638	1.1512844	26959.39425	600.709122	7.3424935	1982-1999 –> 2000-2009	2.3786357	1.2273513	53306.133458	964.230004	8	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	8638	1.0810616	25872.13465	127.637870	7.1439935	1982-1999 –> 2000-2009	2.3796730	1.2986114	53134.171008	215.460366	5	15
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	8638	1.1690587	27224.07371	584.527136	7.3886348	1982-1999 –> 2000-2009	2.4129041	1.2438455	53787.312433	951.610671	11	17
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	8638	1.1673960	27199.48565	426.611740	7.3226013	1982-1999 –> 2000-2009	2.4185488	1.2511528	53857.722788	772.838840	10	17
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	9866	0.7120016	21310.02562	660.504431	5.9792258	2000-2009 –> 2010-2019	1.7515111	1.0395095	46507.034494	1380.807687	1	2
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	9866	0.7154204	21404.54442	583.688526	5.9265977	2000-2009 –> 2010-2019	1.7622596	1.0468392	46722.941915	1094.310384	3	5
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	9866	0.7152953	21401.09355	551.301685	5.9403502	2000-2009 –> 2010-2019	1.7631112	1.0478160	46735.602907	1032.213532	2	5
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	9866	0.7156582	21409.10384	10.115874	5.8768970	2000-2009 –> 2010-2019	1.7681821	1.0525239	46819.060883	28.385781	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	9866	0.7241478	21641.79860	125.275448	6.3595933	2000-2009 –> 2010-2019	1.8052094	1.0810616	47513.933254	252.913318	5	10
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	9866	0.7245051	21651.53406	8.314010	6.2805722	2000-2009 –> 2010-2019	1.8059324	1.0814273	47529.511633	22.413170	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	9866	0.7246986	21656.80170	9.133809	6.2571882	2000-2009 –> 2010-2019	1.8063804	1.0816818	47538.844209	24.591355	7	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	9866	0.8469907	24733.68869	595.736444	5.7922314	2000-2009 –> 2010-2019	1.9982751	1.1512844	51693.082931	1196.445566	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	9866	0.8479027	24752.92428	118.869687	5.8853488	2000-2009 –> 2010-2019	2.0090912	1.1611885	51858.301805	238.942762	9	18
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	9866	0.8567307	24959.30436	522.155997	5.8525316	2000-2009 –> 2010-2019	2.0241267	1.1673960	52158.790008	948.767737	10	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5759	0.7048206	12328.19968	620.205364	6.5451842	1982-1999 –> 2000-2009	1.5279371	0.8231165	25970.895787	1001.298993	3	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	5759	0.7055763	12340.54235	826.078603	6.6034506	1982-1999 –> 2000-2009	1.5289820	0.8234057	25987.148658	1233.377992	5	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5759	0.7031373	12300.65820	839.464042	6.3983634	1982-1999 –> 2000-2009	1.5313112	0.8281739	26011.542935	1243.538333	1	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5759	0.7052869	12333.81750	767.251231	6.0412275	1982-1999 –> 2000-2009	1.5396784	0.8343915	26125.963797	1116.779781	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5759	0.7197174	12567.10322	26.036610	6.6354503	1982-1999 –> 2000-2009	1.5440757	0.8243582	26224.579977	47.906010	10	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate	5759	0.7084805	12385.85405	132.516552	6.6014277	1982-1999 –> 2000-2009	1.5463847	0.8379042	26224.766605	251.785096	8	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5759	0.7078031	12374.83638	22.389200	6.5679367	1982-1999 –> 2000-2009	1.5472203	0.8394171	26233.831316	40.425185	7	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	5759	0.7046325	12323.12477	115.806104	6.3971283	1982-1999 –> 2000-2009	1.5515036	0.8468711	26280.534965	221.764711	2	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5759	0.7164595	12514.84604	386.195853	7.0453232	1982-1999 –> 2000-2009	1.5608688	0.8444093	26439.849387	631.343005	9	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	5759	0.7061852	12346.47818	91.988231	6.0873530	1982-1999 –> 2000-2009	1.5718139	0.8656287	26545.763328	159.367850	6	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8070	0.4785882	11021.86456	716.282600	4.8131555	2000-2009 –> 2010-2019	1.1817255	0.7031373	23322.522751	1555.746642	3	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8070	0.4785025	11018.97381	605.799777	4.8079228	2000-2009 –> 2010-2019	1.1833231	0.7048206	23347.173495	1226.005141	2	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	8070	0.4785888	11019.88260	630.910206	4.8130533	2000-2009 –> 2010-2019	1.1838757	0.7052869	23353.700101	1398.161437	4	8
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8070	0.4784870	11018.45063	635.719931	4.7998900	2000-2009 –> 2010-2019	1.1840633	0.7055763	23358.992974	1301.624282	1	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8070	0.4829541	11166.43398	339.085074	4.8972059	2000-2009 –> 2010-2019	1.1994136	0.7164595	23681.280022	725.280928	5	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	8070	0.5127223	12131.81168	79.229179	4.6080155	2000-2009 –> 2010-2019	1.2173548	0.7046325	24454.936457	195.035284	9	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	8070	0.5155579	12218.82681	68.889291	4.5674823	2000-2009 –> 2010-2019	1.2217431	0.7061852	24565.304994	160.877522	11	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	8070	0.5155396	12220.25322	11.756938	4.7600774	2000-2009 –> 2010-2019	1.2233427	0.7078031	24595.089592	34.146137	10	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate	8070	0.5162216	12241.59150	87.609944	4.7927310	2000-2009 –> 2010-2019	1.2247021	0.7084805	24627.445550	220.126497	12	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	8070	0.5479980	13205.72313	13.971338	5.0059830	2000-2009 –> 2010-2019	1.2677155	0.7197174	25772.826352	40.007948	15	25
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8973	0.7634591	20634.72254	429.943182	12.2536314	1982-1999 –> 2000-2009	1.3549016	0.5914425	38704.213942	611.885676	1	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8973	0.7648124	20666.50401	481.215188	12.3936044	1982-1999 –> 2000-2009	1.3566293	0.5918169	38748.781516	688.575639	2	6
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	8973	0.7694482	20774.95480	485.991838	12.5661849	1982-1999 –> 2000-2009	1.3606672	0.5912189	38836.808584	730.702835	4	6
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	8973	0.7720916	20836.50096	641.815977	12.6411922	1982-1999 –> 2000-2009	1.3631061	0.5910145	38891.368183	875.092651	6	7
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	8973	0.7662002	20697.03977	37.434444	12.5687329	1982-1999 –> 2000-2009	1.3770255	0.6108253	39415.975651	73.220648	3	11
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	8973	0.7710230	20809.64471	208.622002	12.7424749	1982-1999 –> 2000-2009	1.3789955	0.6079725	39434.008578	406.364882	5	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	8973	0.7742590	20884.80751	53.744146	12.8614899	1982-1999 –> 2000-2009	1.3811386	0.6068796	39472.823461	102.822008	7	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8973	0.7896136	21237.21812	131.631455	12.8699386	1982-1999 –> 2000-2009	1.3862814	0.5966678	39482.406346	219.410761	9	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	8973	0.7837164	21102.68671	435.456453	12.2795070	1982-1999 –> 2000-2009	1.4036863	0.6199699	40121.822130	617.444919	8	17
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	8973	0.7909164	21264.80413	32.314376	12.6105030	1982-1999 –> 2000-2009	1.4144675	0.6235511	40398.299762	61.813399	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	10751	0.5353002	17086.82559	303.172355	6.2368632	2000-2009 –> 2010-2019	1.2987594	0.7634591	37721.548132	733.115537	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	10751	0.5401687	17281.49689	314.928271	6.4205418	2000-2009 –> 2010-2019	1.3049810	0.7648124	37948.000896	796.143459	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	10751	0.5473775	17566.55402	579.588023	6.6105970	2000-2009 –> 2010-2019	1.3168257	0.7694482	38341.508822	1347.980948	4	8
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	10751	0.5471868	17559.06383	388.669968	6.5898627	2000-2009 –> 2010-2019	1.3192785	0.7720916	38395.564781	1030.485945	3	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	10751	0.5474130	17565.94744	298.660352	6.6193197	2000-2009 –> 2010-2019	1.3311294	0.7837164	38668.634149	734.116805	5	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	10751	0.5950582	19360.41249	36.925829	7.3379372	2000-2009 –> 2010-2019	1.3612584	0.7662002	40057.452259	74.360274	6	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	10751	0.6035143	19663.81583	159.795638	7.4992283	2000-2009 –> 2010-2019	1.3745372	0.7710230	40473.460532	368.417640	7	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	10751	0.6054438	19732.45200	51.861599	7.5371341	2000-2009 –> 2010-2019	1.3797028	0.7742590	40617.259509	105.605745	8	15
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	10751	0.6104881	19908.85601	35.104857	7.4859775	2000-2009 –> 2010-2019	1.4014046	0.7909164	41173.660134	67.419233	9	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	10751	0.6981930	22797.21381	95.005660	7.3169987	2000-2009 –> 2010-2019	1.4878066	0.7896136	44034.431927	226.637115	10	19
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1590	0.5016063	2332.21645	436.722697	3.5014298	1982-1999 –> 2000-2009	0.7759287	0.2743223	2823.569144	1324.752215	1	3
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1590	0.5021544	2335.68904	442.028175	3.5053734	1982-1999 –> 2000-2009	0.7767176	0.2745632	2830.380407	1335.283848	2	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1590	0.5031882	2342.22884	440.421661	3.5389399	1982-1999 –> 2000-2009	0.7770391	0.2738509	2827.039319	1331.023657	3	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + nitrate + phosphate	1590	0.5205557	2448.13480	339.185830	3.3260575	1982-1999 –> 2000-2009	0.8029499	0.2823942	3047.804461	650.907815	7	11
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	1590	0.5113386	2391.32454	405.312939	4.5928913	1982-1999 –> 2000-2009	0.8176347	0.3062961	3300.062792	1280.200299	6	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	1590	0.5099825	2382.87999	403.515787	4.5710033	1982-1999 –> 2000-2009	0.8179370	0.3079545	3312.158710	1277.895034	4	11
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1590	0.5106326	2386.93070	409.556783	4.5833181	1982-1999 –> 2000-2009	0.8189972	0.3083646	3321.271925	1284.500522	5	13
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	1590	0.5300523	2505.62514	429.378136	4.1817807	1982-1999 –> 2000-2009	0.8190930	0.2890408	3193.789848	1269.743994	10	15
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + nitrate + phosphate	1590	0.5374687	2547.81126	263.592207	4.8917815	1982-1999 –> 2000-2009	0.8470882	0.3096195	3495.600973	568.673532	13	22
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ oxygen + nitrate + phosphate	1590	0.5322860	2516.99792	401.982683	4.7157146	1982-1999 –> 2000-2009	0.8484873	0.3162013	3544.805225	1219.948151	12	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1726	0.3436242	1224.72615	945.483819	1.3265643	2000-2009 –> 2010-2019	0.8452305	0.5016063	3556.942607	1382.206516	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1726	0.3446419	1234.93482	943.110759	1.3286986	2000-2009 –> 2010-2019	0.8467963	0.5021544	3570.623861	1385.138934	3	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1726	0.3439629	1228.12726	955.534539	1.3222773	2000-2009 –> 2010-2019	0.8471511	0.5031882	3570.356100	1395.956200	2	5
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	1726	0.3454669	1241.18838	376.416084	1.3970504	2000-2009 –> 2010-2019	0.8554494	0.5099825	3624.068373	779.931871	5	9
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1726	0.3464022	1250.52163	384.199555	1.3941241	2000-2009 –> 2010-2019	0.8570348	0.5106326	3637.452333	793.756339	7	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1726	0.3459026	1245.53898	404.435698	1.3915583	2000-2009 –> 2010-2019	0.8572412	0.5113386	3636.863528	809.748637	6	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1726	0.3508686	1294.74623	907.410453	1.4322502	2000-2009 –> 2010-2019	0.8731328	0.5222642	3753.300790	1345.643235	9	17
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate	1726	0.3508790	1292.84891	341.064954	1.4368152	2000-2009 –> 2010-2019	0.8737641	0.5228851	3753.181931	720.942547	10	19
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1726	0.3449315	1235.83451	931.670943	1.2873621	2000-2009 –> 2010-2019	0.8749838	0.5300523	3741.459650	1361.049078	4	14
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ oxygen + nitrate + phosphate	1726	0.3476613	1261.04647	373.583566	1.3461600	2000-2009 –> 2010-2019	0.8799473	0.5322860	3778.044395	775.566249	8	20
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	146	0.0105425	-902.95341	555.778249	0.0479662	1982-1999 –> 2000-2009	0.6644363	0.6538938	-407.807099	1004.428027	12	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	146	0.0107962	-896.01105	815.983119	0.0520704	1982-1999 –> 2000-2009	0.6656034	0.6548073	-400.186299	1493.839751	13	15
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + oxygen + nitrate	146	0.0120250	-866.53368	529.477223	0.0612419	1982-1999 –> 2000-2009	0.7193751	0.7073501	-335.197135	1059.032757	16	19
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + nitrate	146	0.0115292	-878.82756	363.588467	0.0561748	1982-1999 –> 2000-2009	0.7194874	0.7079581	-347.073411	717.030522	14	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	146	0.0088386	-954.42813	221.708664	0.0364944	1982-1999 –> 2000-2009	0.7379194	0.7290807	-406.385803	632.597189	7	12
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	146	0.0058027	-1077.30584	399.154300	0.0211422	1982-1999 –> 2000-2009	0.7492892	0.7434866	-519.754348	908.933594	1	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	146	0.0058174	-1076.56626	368.898885	0.0210535	1982-1999 –> 2000-2009	0.7500818	0.7442644	-518.506549	865.160810	2	11
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	146	0.0059825	-1068.39308	369.068136	0.0206678	1982-1999 –> 2000-2009	0.7502147	0.7442321	-510.354456	699.463153	3	11
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + oxygen + nitrate	146	0.0124586	-856.19147	507.720337	0.0515844	1982-1999 –> 2000-2009	0.7621006	0.7496420	-296.632860	807.552462	17	28
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + nitrate + phosphate_star	146	0.0104945	-906.28517	139.197673	0.0365720	1982-1999 –> 2000-2009	0.7763883	0.7658938	-336.302984	219.430114	11	25
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ phosphate + phosphate_star	32	0.0100306	-195.72333	632.543825	0.0292969	2000-2009 –> 2010-2019	0.0191747	0.0091441	-1144.228609	670.037103	2	3
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ nitrate + phosphate_star	32	0.0113456	-187.83936	782.616915	0.0328582	2000-2009 –> 2010-2019	0.0233325	0.0119869	-1057.299568	835.408893	3	5
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ temp + phosphate	32	0.0092723	-200.75408	929.172950	0.0240067	2000-2009 –> 2010-2019	0.0852284	0.0759560	-531.083370	960.886215	1	4
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate	32	0.0527070	-89.54040	147.854605	0.1674367	2000-2009 –> 2010-2019	0.1314002	0.0786932	-409.532374	177.418002	4	8
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + nitrate	32	0.0601855	-81.04871	140.703146	0.1878757	2000-2009 –> 2010-2019	0.1781413	0.1179559	-282.852448	178.311700	5	10
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + aou	32	0.0856904	-58.43684	104.311268	0.2451038	2000-2009 –> 2010-2019	0.3457991	0.2601087	-29.330278	169.273587	6	12
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + oxygen	32	0.0895647	-55.60672	103.885415	0.2542830	2000-2009 –> 2010-2019	0.3693490	0.2797842	-5.207763	178.818079	7	14
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + temp	32	0.1042955	-45.86168	99.983874	0.2824184	2000-2009 –> 2010-2019	0.5426303	0.4383348	135.634898	155.210831	8	16
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate_star	32	0.1050383	-45.40744	83.704047	0.2782765	2000-2009 –> 2010-2019	0.5435341	0.4384958	136.196332	182.155532	9	18

5.4.2 per fitting unit

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

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2009	10.6284673	3999.1896
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	10.5675340	3514.5940
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	8.8204733	13253.2269
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	8.9235021	12094.2346
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	6.6650949	12474.4671
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	6.4810859	10637.8734
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	6.1718929	18849.9884
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	6.3336495	15620.9704
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	5.0889701	23364.4543
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	5.7705822	18690.7595
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.8275471	33095.8358
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	6.7137456	28355.7494
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	6.5061933	47934.1886
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	7.6100865	40808.0589
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	6.2587157	29139.9803
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	6.8925329	25884.4201
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	7.4444720	94997.1361
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	9.2658503	82926.7717
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	4.0722219	64938.7981
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	4.8653856	49846.8526
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	3.4706140	26619.6519
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	3.8402550	22102.8768
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.4293184	22909.9740
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.5782611	18799.9202
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	0.8785936	4680.8457
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.0308036	5051.4544
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	0.6502889	3065.1140
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	0.6392368	3007.7326
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	19.4255605	54538.4377
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	18.9912470	72261.0655
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	17.9565698	50843.8828
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	20.3565520	50178.6269
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	16.7503119	45372.2379
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	19.5013343	43383.1417
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	11.7667001	50761.3985
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	13.3648931	52244.8350
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.0187043	57143.7380
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	9.4433381	59279.8280
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.4841731	67815.4888
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.9107426	69924.5227
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	4.0798132	62423.7413
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	4.1622973	65028.3984
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	2.3260812	21738.4643
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	2.2266599	23208.7398
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.1665163	27031.0987
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	1.8477803	27771.0998
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.3157134	52310.9554
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	1.8494079	48507.7104
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	1.5449776	26204.4877
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	1.2087259	24107.9272
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	1.3776899	39350.6508
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	1.3575684	39743.1521
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	0.8101873	3169.6483
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	0.8610731	3662.2294
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	0.7294896	-407.8201
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	0.2487322	-354.1892

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

rm(max_rmse)

6.2.2 Best models

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

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

Past versions of rmse_correlation_across_eras_best_models-1.png

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

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	nitrate	oxygen	phosphate	phosphate_star	sal	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	9	10	4	5	3	7	6
(26,26.5]	7	10	2	4	5	7	8
(26.5,26.75]	7	10	4	0	5	6	7
(26.75,27]	6	9	3	3	4	10	5
(27,27.25]	8	10	3	4	4	10	4
(27.25,27.5]	6	8	4	4	6	10	6
(27.5,27.75]	6	10	5	3	5	10	5
(27.75,27.85]	6	10	4	7	4	7	6
(27.85,27.95]	7	10	3	5	6	7	6
(27.95,28.05]	7	10	3	5	5	6	7
(28.05,28.1]	7	10	3	4	5	8	7
(28.1,28.15]	7	10	5	4	3	10	5
(28.15,28.2]	5	9	4	0	5	10	4
(28.2, Inf]	7	9	4	6	5	6	7
total	95.00	135.00	51.00	54.00	65.00	114.00	83.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	9	10	3	4	5	7	6
(26,26.5]	8	10	4	2	5	7	7
(26.5,26.75]	7	10	4	0	6	6	6
(26.75,27]	7	8	2	3	4	8	4
(27,27.25]	8	10	4	4	3	10	4
(27.25,27.5]	6	10	4	4	5	10	4
(27.5,27.75]	7	10	2	5	5	10	5
(27.75,27.85]	6	10	4	6	6	6	5
(27.85,27.95]	6	10	2	6	5	9	5
(27.95,28.05]	7	10	2	6	6	6	7
(28.05,28.1]	7	10	4	3	5	8	7
(28.1,28.15]	7	10	4	5	3	10	5
(28.15,28.2]	5	9	3	1	5	10	4
(28.2, Inf]	6	9	4	7	4	6	8
total	96.00	136.00	46.00	56.00	67.00	113.00	77.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	7	10	5	2	5	7	8
(26,26.5]	9	7	3	5	6	7	7
(26.5,26.75]	6	7	2	6	5	10	7
(26.75,27]	6	10	5	3	3	10	5
(27,27.25]	7	9	3	5	6	7	6
(27.25,27.5]	7	6	1	7	4	9	8
(27.5,27.75]	8	5	6	4	6	8	6
(27.75,27.85]	6	10	6	4	4	5	8
(27.85,27.95]	6	10	3	5	6	5	8
(27.95,28.05]	6	7	1	6	6	7	10
(28.05,28.1]	7	6	2	6	4	10	7
(28.1,28.2]	6	10	6	3	3	10	5
(28.2,28.3]	4	10	5	10	1	5	6
(28.3, Inf]	4	7	4	1	4	8	8
total	89.00	114.00	52.00	67.00	63.00	108.00	99.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	10	4	2	4	7	8
(26,26.5]	8	6	4	7	4	8	7
(26.5,26.75]	4	10	4	4	2	10	8
(26.75,27]	5	7	4	4	7	8	7
(27,27.25]	7	10	2	6	6	6	6
(27.25,27.5]	6	6	1	6	6	10	7
(27.5,27.75]	7	5	2	6	7	8	7
(27.75,27.85]	7	10	3	4	3	5	9
(27.85,27.95]	8	6	4	6	5	8	7
(27.95,28.05]	7	6	2	4	6	7	10
(28.05,28.1]	7	6	1	6	5	10	7
(28.1,28.2]	6	10	5	3	4	10	5
(28.2,28.3]	6	10	3	10	3	5	4
(28.3, Inf]	1	2	1	3	3	6	2
total	87.00	104.00	40.00	71.00	65.00	108.00	94.00

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
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
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