eMLR - model fitting

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Last updated: 2021-08-01

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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

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R Markdown file: up-to-date

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Environment: empty

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Seed: set.seed(20200707)

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Session information: recorded

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Cache: none

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File paths: relative

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Repository version: 17c337b

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

---

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

File	Version	Author	Date	Message
html	ca539b5	Donghe-Zhu	2021-08-01	Build site.
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html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
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html	9baa3b2	Donghe-Zhu	2021-06-06	debug
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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• temp, 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_si) %>%
  unique()

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 26

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	174	4.7653862	1049.15036	191.128494	10.6003216	1982-1999 –> 2000-2009	10.5458593	5.7804731	2571.70021	298.795149	2	3
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	174	4.7756070	1049.89595	54.908994	10.8456467	1982-1999 –> 2000-2009	10.5770937	5.8014867	2574.17306	128.709972	3	6
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	174	4.6921624	1043.76156	88.865247	11.8948116	1982-1999 –> 2000-2009	10.6101106	5.9179482	2577.49945	258.546932	1	6
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	174	4.8471802	1055.07281	42.245837	11.0655913	1982-1999 –> 2000-2009	10.6382863	5.7911061	2578.49745	101.303223	5	7
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate	174	4.7878360	1048.78594	43.679726	11.8505439	1982-1999 –> 2000-2009	10.8431513	6.0553153	2591.44643	107.353789	4	11
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	174	5.0372146	1066.45555	37.569326	14.5184018	1982-1999 –> 2000-2009	10.8537063	5.8164917	2589.96220	93.425106	7	11
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	174	5.4433787	1093.44179	37.777452	16.5910944	1982-1999 –> 2000-2009	11.3648067	5.9214280	2625.45949	94.651981	9	15
Atlantic	(-Inf,26]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	174	4.9746894	1062.10891	67.189900	11.9126667	1982-1999 –> 2000-2009	11.6875538	6.7128644	2653.83991	109.432191	6	16
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + nitrate + phosphate	174	5.3154837	1085.16777	34.546450	14.6821059	1982-1999 –> 2000-2009	12.0259969	6.7105132	2676.73201	47.818265	8	17
Atlantic	(-Inf,26]	2	cstar_tref ~ nitrate + phosphate	174	5.5416147	1097.66611	7.804610	14.1350600	1982-1999 –> 2000-2009	12.2724565	6.7308418	2688.67015	17.487397	10	21
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	267	5.1406759	1643.96974	87.787109	14.6309609	2000-2009 –> 2010-2019	9.8328384	4.6921624	2687.73131	176.652355	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	267	5.1467123	1644.59642	87.073730	13.6622866	2000-2009 –> 2010-2019	9.9120985	4.7653862	2693.74678	278.202224	3	5
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	267	5.1426631	1644.17612	37.712766	13.7822013	2000-2009 –> 2010-2019	9.9182701	4.7756070	2694.07207	92.621760	2	5
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate	267	5.2058460	1648.69688	35.311945	12.4584814	2000-2009 –> 2010-2019	9.9936820	4.7878360	2697.48282	78.991671	6	10
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	267	5.1474425	1644.67217	33.121482	13.7477910	2000-2009 –> 2010-2019	9.9946226	4.8471802	2699.74498	75.367319	4	9
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	267	5.1477122	1642.70015	32.322239	13.8255334	2000-2009 –> 2010-2019	10.1849268	5.0372146	2709.15570	69.891565	5	12
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	267	5.3036367	1658.63491	32.457490	15.9514201	2000-2009 –> 2010-2019	10.7470154	5.4433787	2752.07670	70.234942	7	16
Atlantic	(-Inf,26]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	267	6.0273664	1726.94280	47.166125	14.0691761	2000-2009 –> 2010-2019	11.0020557	4.9746894	2789.05171	114.356025	8	14
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + nitrate + phosphate	267	6.2325776	1744.82103	14.103715	14.9175069	2000-2009 –> 2010-2019	11.5480614	5.3154837	2829.98880	48.650165	9	17
Atlantic	(-Inf,26]	2	cstar_tref ~ nitrate + phosphate	267	6.2331232	1742.86777	3.812772	14.9312517	2000-2009 –> 2010-2019	11.7747379	5.5416147	2840.53388	11.617382	10	20
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	578	3.5234821	3108.21683	281.599349	12.3056294	1982-1999 –> 2000-2009	8.3579509	4.8344688	7264.89518	439.352873	1	3
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	578	3.5568972	3119.12816	501.021640	13.1458190	1982-1999 –> 2000-2009	8.3894319	4.8325347	7275.25270	771.215168	3	4
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	578	3.5243471	3106.50061	88.973001	12.5741322	1982-1999 –> 2000-2009	8.4333043	4.9089572	7282.34070	208.355031	2	7
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	578	3.6313684	3143.08159	307.650223	14.0197160	1982-1999 –> 2000-2009	8.4680863	4.8367179	7300.40364	542.091394	4	7
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	578	3.8898886	3220.58083	63.419891	17.5947097	1982-1999 –> 2000-2009	8.7667878	4.8768992	7387.35305	153.701512	5	9
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	578	4.1293784	3289.64762	145.160066	13.8781027	1982-1999 –> 2000-2009	9.5079132	5.3785349	7591.92231	295.017578	6	12
Atlantic	(26,26.5]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	578	4.7497577	3451.44916	277.805479	16.3501909	1982-1999 –> 2000-2009	10.3720801	5.6223224	7815.07491	494.135606	7	14
Atlantic	(26,26.5]	3	cstar_tref ~ temp + nitrate + phosphate	578	5.1843821	3552.66511	307.183567	16.5985028	1982-1999 –> 2000-2009	10.8792773	5.6948951	7934.04118	481.430497	8	16
Atlantic	(26,26.5]	2	cstar_tref ~ nitrate + phosphate	578	5.2381074	3562.58298	89.728707	15.6100576	1982-1999 –> 2000-2009	10.9331025	5.6949952	7941.98336	164.526610	9	18
Atlantic	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	578	5.3479832	3588.58071	405.530406	22.7268593	1982-1999 –> 2000-2009	11.3287307	5.9807475	8037.73869	1059.997173	10	20
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	800	5.6442466	5051.32041	114.175275	35.5997061	2000-2009 –> 2010-2019	9.1677287	3.5234821	8159.53725	395.774625	2	3
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	800	5.6433316	5051.06102	334.825631	35.4646637	2000-2009 –> 2010-2019	9.2002288	3.5568972	8170.18918	835.847271	1	4
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	800	5.6655357	5057.34399	160.944706	35.7710595	2000-2009 –> 2010-2019	9.2969041	3.6313684	8200.42557	468.594929	4	8
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	800	5.8927812	5118.26659	81.617200	43.4041066	2000-2009 –> 2010-2019	9.4171284	3.5243471	8224.76719	170.590202	5	7
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	800	5.6592806	5053.57651	68.227714	37.9223442	2000-2009 –> 2010-2019	9.5491692	3.8898886	8274.15734	131.647605	3	8
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	800	6.3594802	5240.21629	98.103821	45.7591422	2000-2009 –> 2010-2019	10.4888586	4.1293784	8529.86391	243.263888	6	12
Atlantic	(26,26.5]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	800	6.5017243	5275.60953	154.750199	39.6608870	2000-2009 –> 2010-2019	11.2514820	4.7497577	8727.05868	432.555678	7	14
Atlantic	(26,26.5]	3	cstar_tref ~ temp + nitrate + phosphate	800	6.5102532	5277.70701	134.496638	32.7802828	2000-2009 –> 2010-2019	11.6946353	5.1843821	8830.37212	441.680205	8	16
Atlantic	(26,26.5]	2	cstar_tref ~ nitrate + phosphate	800	6.5216205	5278.49828	54.176875	35.7515875	2000-2009 –> 2010-2019	11.7597279	5.2381074	8841.08127	143.905582	10	19
Atlantic	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	800	6.5162127	5279.17098	793.661325	20.6508849	2000-2009 –> 2010-2019	11.8641959	5.3479832	8867.75169	1199.191731	9	19
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	603	3.0860362	3082.26619	503.491127	29.2715191	1982-1999 –> 2000-2009	6.3629439	3.2769077	6836.25062	875.621213	1	3
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	603	3.1581080	3110.10746	517.054778	28.9846578	1982-1999 –> 2000-2009	6.4317476	3.2736396	6862.65902	896.763035	3	4
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	603	3.1564227	3107.46369	218.132567	34.0176951	1982-1999 –> 2000-2009	6.4956794	3.3392568	6886.51392	393.215201	2	5
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	603	3.2433295	3140.21997	143.773797	21.3194048	1982-1999 –> 2000-2009	6.6201573	3.3768278	6935.33689	241.271339	4	8
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate	603	4.2128894	3455.64724	344.149589	44.7707998	1982-1999 –> 2000-2009	8.2587725	4.0458830	7510.33993	632.359210	5	10
Atlantic	(26.5,26.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	603	4.3337872	3489.76869	479.815584	41.4261441	1982-1999 –> 2000-2009	8.6562567	4.3224695	7639.41982	845.650015	7	13
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + nitrate + phosphate	603	4.2624279	3469.74561	510.199730	35.4636120	1982-1999 –> 2000-2009	8.7438621	4.4814342	7671.25967	889.602563	6	16
Atlantic	(26.5,26.75]	2	cstar_tref ~ nitrate + phosphate	603	4.3361489	3488.42571	256.979290	40.6439227	1982-1999 –> 2000-2009	8.8202362	4.4840874	7688.78969	482.810951	8	19
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate	603	4.7221808	3593.27837	287.851336	14.3651718	1982-1999 –> 2000-2009	9.1898942	4.4677134	7790.38910	450.932820	9	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate_star	603	4.7779576	3607.43976	36.602278	14.4142863	1982-1999 –> 2000-2009	9.2488740	4.4709164	7805.57962	58.260902	10	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	669	3.7560455	3681.20439	333.749731	35.2814253	2000-2009 –> 2010-2019	6.8420818	3.0860362	6763.47057	837.240858	1	2
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	669	3.8039480	3696.16059	170.680244	40.7501025	2000-2009 –> 2010-2019	6.9603707	3.1564227	6803.62428	388.812811	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	669	3.8379880	3710.08054	347.551103	35.1902233	2000-2009 –> 2010-2019	6.9960960	3.1581080	6820.18799	864.605881	3	6
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	669	3.8664891	3717.97991	112.258231	25.7511812	2000-2009 –> 2010-2019	7.1098186	3.2433295	6858.19987	256.032028	4	8
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate	669	4.4673495	3911.25183	249.186146	51.8144372	2000-2009 –> 2010-2019	8.6802389	4.2128894	7366.89907	593.335735	6	11
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + nitrate + phosphate	669	4.4318574	3900.57927	336.653560	43.5698345	2000-2009 –> 2010-2019	8.6942853	4.2624279	7370.32488	846.853290	5	11
Atlantic	(26.5,26.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	669	4.4830456	3915.94468	326.228486	48.4544371	2000-2009 –> 2010-2019	8.8168328	4.3337872	7405.71337	806.044071	7	14
Atlantic	(26.5,26.75]	2	cstar_tref ~ nitrate + phosphate	669	4.4850917	3914.55523	183.467669	49.4541306	2000-2009 –> 2010-2019	8.8212406	4.3361489	7402.98094	440.446960	8	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate	669	5.2050298	4115.73859	276.342833	20.1072528	2000-2009 –> 2010-2019	9.9272106	4.7221808	7709.01696	564.194169	9	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate_star	669	5.2973680	4139.26686	46.979207	20.2032170	2000-2009 –> 2010-2019	10.0753256	4.7779576	7746.70662	83.581485	10	20
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	897	3.1976155	4640.93100	218.486284	17.9147531	1982-1999 –> 2000-2009	6.2623215	3.0647060	10119.70043	500.979550	1	2
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate	897	3.2357379	4662.19278	498.124599	17.0878884	1982-1999 –> 2000-2009	6.7929042	3.5571663	10461.93539	1020.830178	2	5
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	897	3.6876583	4896.73076	74.544215	18.1555887	1982-1999 –> 2000-2009	6.9086474	3.2209891	10482.63335	167.238218	6	8
Atlantic	(26.75,27]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	897	3.2805997	4686.89479	595.333248	17.0171944	1982-1999 –> 2000-2009	6.9708189	3.6902193	10565.73578	1159.609820	3	7
Atlantic	(26.75,27]	3	cstar_tref ~ temp + nitrate + phosphate	897	3.3640391	4731.95311	763.778488	16.8998425	1982-1999 –> 2000-2009	7.2526260	3.8885869	10723.57742	1370.894858	4	9
Atlantic	(26.75,27]	2	cstar_tref ~ nitrate + phosphate	897	3.5597924	4831.42153	437.235003	17.7440142	1982-1999 –> 2000-2009	7.5483260	3.9885336	10875.70966	929.954781	5	13
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate	897	4.4189777	5221.29536	131.143269	17.9359946	1982-1999 –> 2000-2009	8.3939440	3.9749663	11260.24402	280.671446	7	13
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	897	4.5144147	5259.62804	22.135253	18.0135646	1982-1999 –> 2000-2009	8.5028676	3.9884529	11305.87259	44.670166	8	15
Atlantic	(26.75,27]	3	cstar_tref ~ temp + phosphate + phosphate_star	897	4.5192286	5261.54003	32.116788	18.0122710	1982-1999 –> 2000-2009	8.5096072	3.9903787	11308.82436	63.922050	9	18
Atlantic	(26.75,27]	3	cstar_tref ~ temp + nitrate + phosphate_star	897	4.5638132	5279.15210	35.765844	17.9229673	1982-1999 –> 2000-2009	8.6784718	4.1146586	11392.49901	69.473630	10	20
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	988	3.5815416	5334.79015	228.210342	18.8482400	2000-2009 –> 2010-2019	6.7791572	3.1976155	9975.72115	446.696626	1	2
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate	988	3.6485905	5371.44023	450.152061	18.2924686	2000-2009 –> 2010-2019	6.8843284	3.2357379	10033.63301	948.276660	2	4
Atlantic	(26.75,27]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	988	3.6642002	5379.87604	516.493960	18.2365865	2000-2009 –> 2010-2019	6.9447998	3.2805997	10066.77084	1111.827208	3	6
Atlantic	(26.75,27]	3	cstar_tref ~ temp + nitrate + phosphate	988	3.6820085	5389.45635	597.968063	18.1583914	2000-2009 –> 2010-2019	7.0460476	3.3640391	10121.40946	1361.746551	4	8
Atlantic	(26.75,27]	2	cstar_tref ~ nitrate + phosphate	988	3.6884448	5390.90742	369.852805	18.1435979	2000-2009 –> 2010-2019	7.2482372	3.5597924	10222.32895	807.087807	5	10
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	988	4.1732819	5636.93920	81.398661	18.7366761	2000-2009 –> 2010-2019	7.8609403	3.6876583	10533.66996	155.942876	6	12
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate	988	5.0740595	6023.12553	144.056521	17.4768260	2000-2009 –> 2010-2019	9.4930372	4.4189777	11244.42089	275.199790	7	14
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	988	5.1202531	6041.03338	26.708230	17.5458597	2000-2009 –> 2010-2019	9.6346677	4.5144147	11300.66142	48.843483	10	18
Atlantic	(26.75,27]	3	cstar_tref ~ temp + phosphate + phosphate_star	988	5.1195040	6040.74428	37.127068	17.5384002	2000-2009 –> 2010-2019	9.6387326	4.5192286	11302.28431	69.243856	9	18
Atlantic	(26.75,27]	3	cstar_tref ~ temp + nitrate + phosphate_star	988	5.0893947	6029.08854	40.362974	17.4222953	2000-2009 –> 2010-2019	9.6532080	4.5638132	11308.24064	76.128817	8	18
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1047	3.3194280	5495.62277	381.117095	9.9039309	1982-1999 –> 2000-2009	6.4112988	3.0918707	14750.73224	943.281687	3	4
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	1047	3.3194341	5493.62660	116.167835	9.8918871	1982-1999 –> 2000-2009	6.4144908	3.0950567	14750.47257	401.627019	4	6
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1047	3.3103233	5489.87134	645.748557	9.8024122	1982-1999 –> 2000-2009	6.4311858	3.1208625	14778.84123	1454.871849	2	5
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1047	3.3076992	5488.21075	411.361134	9.8046959	1982-1999 –> 2000-2009	6.4484264	3.1407272	14800.20018	976.661895	1	5
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	1047	3.4057413	5547.37602	266.487455	12.2893326	1982-1999 –> 2000-2009	6.6462198	3.2404785	14970.80083	800.520731	5	10
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1047	3.4076498	5548.54911	25.395834	11.6738177	1982-1999 –> 2000-2009	6.6799423	3.2722925	15007.41882	84.308233	6	12
Atlantic	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1047	3.4209763	5556.72226	278.432355	12.4857091	1982-1999 –> 2000-2009	6.7398658	3.3188896	15066.88985	786.923042	7	14
Atlantic	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate	1047	3.4616544	5581.47473	306.896468	12.6328909	1982-1999 –> 2000-2009	7.0152514	3.5535970	15339.54381	808.319227	8	16
Atlantic	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	1047	3.6016281	5664.47958	24.318366	13.5219891	1982-1999 –> 2000-2009	7.2985636	3.6969355	15566.01391	60.783207	10	19
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	1047	3.7412737	5744.13556	39.357311	14.5304312	1982-1999 –> 2000-2009	7.5116345	3.7703609	15717.01992	123.772658	11	22
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1273	3.6820406	6943.24477	368.799067	14.5786717	2000-2009 –> 2010-2019	6.9897398	3.3076992	12431.45552	780.160202	2	3
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1273	3.6807428	6942.34724	497.371206	14.5404816	2000-2009 –> 2010-2019	6.9910662	3.3103233	12432.21858	1143.119763	1	3
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1273	3.6870799	6946.72687	350.290669	14.3878419	2000-2009 –> 2010-2019	7.0065079	3.3194280	12442.34964	731.407765	3	6
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	1273	3.7105356	6960.87222	331.943673	16.7105894	2000-2009 –> 2010-2019	7.1162769	3.4057413	12508.24823	598.431128	4	9
Atlantic	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1273	3.7279051	6972.76254	341.643099	17.2453678	2000-2009 –> 2010-2019	7.1488814	3.4209763	12529.48480	620.075454	5	12
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	1273	3.9248745	7103.85084	180.542729	11.1719736	2000-2009 –> 2010-2019	7.2443086	3.3194341	12597.47744	296.710564	7	11
Atlantic	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate	1273	3.7868430	7012.69972	352.988943	18.3557229	2000-2009 –> 2010-2019	7.2484974	3.4616544	12594.17444	659.885412	6	14
Atlantic	(27,27.25]	2	cstar_tref ~ nitrate + phosphate	1273	3.9301184	7105.25022	324.881409	16.5238010	2000-2009 –> 2010-2019	7.4237700	3.4936516	12703.99153	587.982397	8	17
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1273	4.6786352	7551.11191	39.104889	13.7321278	2000-2009 –> 2010-2019	8.0862850	3.4076498	13099.66102	64.500723	9	15
Atlantic	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	1273	5.2396806	7839.45687	25.725545	15.8775562	2000-2009 –> 2010-2019	8.8413088	3.6016281	13503.93645	50.043910	10	20
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1573	2.9527845	7882.30777	161.767956	12.8471893	1982-1999 –> 2000-2009	5.9420606	2.9892761	17834.54436	404.696339	1	2
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	1573	2.9531292	7880.67505	13.048704	12.8254442	1982-1999 –> 2000-2009	5.9617399	3.0086107	17856.40367	55.204467	2	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1573	2.9854053	7916.87252	188.418569	12.8251910	1982-1999 –> 2000-2009	5.9796362	2.9942310	17875.65759	473.643598	3	5
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	1573	2.9859361	7915.43191	20.594847	12.7948282	1982-1999 –> 2000-2009	6.0115947	3.0256586	17913.50209	61.548601	4	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1573	3.0014893	7933.77633	190.051650	12.9001994	1982-1999 –> 2000-2009	6.0297615	3.0282722	17937.26049	470.966343	5	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate	1573	3.0031117	7933.47635	18.305425	12.8514255	1982-1999 –> 2000-2009	6.0539716	3.0508599	17964.34375	63.164608	6	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1573	3.0633251	7997.93061	453.360236	13.0892820	1982-1999 –> 2000-2009	6.1413161	3.0779910	18065.80528	1370.555464	7	15
Atlantic	(27.25,27.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	1573	3.0737373	8006.60569	311.730776	12.9850528	1982-1999 –> 2000-2009	6.1622697	3.0885325	18085.99884	1092.921776	8	17
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	1573	3.2190374	8151.91374	19.997995	11.8113964	1982-1999 –> 2000-2009	6.2135642	2.9945268	18109.08942	61.512774	9	12
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	1573	3.4818380	8398.80537	17.948231	12.5818651	1982-1999 –> 2000-2009	6.6104551	3.1286171	18529.18547	64.844308	12	22
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1698	4.3925881	9856.51883	162.398184	31.5139434	2000-2009 –> 2010-2019	7.3779934	2.9854053	17773.39135	350.816753	1	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1698	4.4307066	9885.86188	184.484086	30.5444535	2000-2009 –> 2010-2019	7.3834911	2.9527845	17768.16965	346.252042	6	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1698	4.4054926	9866.48090	167.956032	30.5968507	2000-2009 –> 2010-2019	7.4069819	3.0014893	17800.25723	358.007682	2	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1698	4.4187810	9876.70892	521.086806	26.4440206	2000-2009 –> 2010-2019	7.4821060	3.0633251	17874.63953	974.447042	3	10
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	1698	4.4667610	9911.38465	30.453982	25.3972789	2000-2009 –> 2010-2019	7.6857984	3.2190374	18063.29839	50.451977	11	20
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	1698	4.7461189	10117.39844	29.050539	20.8680120	2000-2009 –> 2010-2019	7.6992481	2.9531292	17998.07349	42.099243	15	17
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate	1698	4.4355124	9887.54341	157.883348	23.8241845	2000-2009 –> 2010-2019	7.7193306	3.2838182	18102.13948	343.072513	8	18
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	1698	4.7687249	10133.53538	30.721758	20.6615823	2000-2009 –> 2010-2019	7.7546610	2.9859361	18048.96728	51.316605	16	20
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate	1698	4.7719702	10135.84567	22.678533	20.6479595	2000-2009 –> 2010-2019	7.7750819	3.0031117	18069.32203	40.983958	17	23
Atlantic	(27.25,27.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	1698	4.7768863	10139.34244	356.400671	20.5459367	2000-2009 –> 2010-2019	7.8506235	3.0737373	18145.94813	668.131447	18	26
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2071	3.4867663	11062.49681	161.185185	23.6237909	1982-1999 –> 2000-2009	6.2846541	2.7978877	23563.18920	373.473911	1	3
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2071	3.5074890	11087.04085	199.233406	24.3920987	1982-1999 –> 2000-2009	6.3002268	2.7927378	23578.33357	492.462626	4	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2071	3.4924029	11069.18727	181.066759	24.0964954	1982-1999 –> 2000-2009	6.3102854	2.8178825	23606.21074	421.260231	2	6
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	2071	3.5180868	11097.53694	22.192747	24.4338616	1982-1999 –> 2000-2009	6.3161682	2.7980814	23596.58238	45.152434	5	8
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	2071	3.4927138	11067.55591	27.657312	24.1593020	1982-1999 –> 2000-2009	6.3271779	2.8344642	23632.51386	56.454210	3	8
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate	2071	3.5407115	11124.08878	140.839038	25.3488395	1982-1999 –> 2000-2009	6.4355209	2.8948093	23796.52721	271.848174	6	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2071	3.5619127	11150.81635	295.373303	25.4934093	1982-1999 –> 2000-2009	6.4725997	2.9106870	23853.16213	574.209274	8	15
Atlantic	(27.5,27.75]	2	cstar_tref ~ temp + nitrate	2071	3.5407502	11122.13402	2.332912	25.2807576	1982-1999 –> 2000-2009	6.5022631	2.9615129	23908.80106	5.793042	7	16
Atlantic	(27.5,27.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2071	3.5868867	11177.75625	120.481259	24.4621428	1982-1999 –> 2000-2009	6.6306215	3.0437348	24106.14195	249.652179	9	23
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	2071	3.6985775	11304.76521	15.059492	20.7819861	1982-1999 –> 2000-2009	6.6470644	2.9484869	24070.94197	31.345025	12	20
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2544	4.2637260	14609.88903	152.685823	27.7400768	2000-2009 –> 2010-2019	7.7561290	3.4924029	25679.07630	333.752582	2	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2544	4.3218617	14678.79494	129.048844	27.0162716	2000-2009 –> 2010-2019	7.8086280	3.4867663	25741.29175	290.234029	6	7
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2544	4.3065926	14660.78720	199.837379	29.5263432	2000-2009 –> 2010-2019	7.8140816	3.5074890	25747.82805	399.070785	4	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2544	4.2627183	14608.68639	253.938715	24.9469433	2000-2009 –> 2010-2019	7.8246310	3.5619127	25759.50274	549.312018	1	9
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	2544	4.3223238	14677.33887	19.786197	26.4308882	2000-2009 –> 2010-2019	7.8404106	3.5180868	25774.87582	41.978944	7	12
Atlantic	(27.5,27.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2544	4.3157877	14669.63916	139.101578	32.2816948	2000-2009 –> 2010-2019	7.9026744	3.5868867	25847.39541	259.582838	5	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	2544	4.4252325	14797.05778	17.323789	20.9627067	2000-2009 –> 2010-2019	7.9179463	3.4927138	25864.61369	44.981101	10	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + nitrate + phosphate	2544	4.2652463	14609.70287	129.169870	26.5651616	2000-2009 –> 2010-2019	7.9501611	3.6849148	25899.13907	251.392853	3	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate	2544	4.4761621	14855.28068	114.940447	39.8647368	2000-2009 –> 2010-2019	8.0168736	3.5407115	25979.36946	255.779485	12	18
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	2544	4.3605054	14722.08683	116.678533	29.2103462	2000-2009 –> 2010-2019	8.0488240	3.6883186	26015.34723	277.791391	8	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1299	3.6768459	7081.14196	93.006918	31.9792351	1982-1999 –> 2000-2009	5.9378499	2.2610040	13153.77715	212.192258	1	3
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1299	3.7147719	7107.80260	132.476835	32.5247718	1982-1999 –> 2000-2009	5.9751757	2.2604038	13179.71779	348.508094	4	5
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1299	3.6972495	7095.51897	264.608449	33.0521012	1982-1999 –> 2000-2009	6.0065320	2.3092825	13225.45309	648.275959	2	7
Atlantic	(27.75,27.85]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1299	3.7149032	7105.89440	64.462090	32.3719045	1982-1999 –> 2000-2009	6.0492480	2.3343448	13263.10286	123.663743	5	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1299	3.7565015	7136.82430	90.469652	34.6038234	1982-1999 –> 2000-2009	6.0622734	2.3057719	13262.63247	207.645951	6	10
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate	1299	3.7061341	7099.75456	61.821954	33.2400204	1982-1999 –> 2000-2009	6.1079886	2.4018544	13334.28179	115.522312	3	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate	1299	3.8712483	7212.99541	56.700246	26.4222672	1982-1999 –> 2000-2009	6.1324725	2.2612242	13283.89472	102.793396	9	12
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	1299	3.8357589	7189.06859	88.079644	32.3652601	1982-1999 –> 2000-2009	6.1452265	2.3094676	13317.22006	178.104485	7	13
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	1299	3.8410071	7192.62077	16.731391	37.2794694	1982-1999 –> 2000-2009	6.2943563	2.4533492	13484.67767	36.668420	8	17
Atlantic	(27.75,27.85]	2	cstar_tref ~ nitrate + phosphate_star	1299	3.9813981	7283.88491	2.624683	35.1660322	1982-1999 –> 2000-2009	6.4736736	2.4922756	13616.63423	6.804360	10	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1658	3.2616528	8637.48832	104.870507	15.4452943	2000-2009 –> 2010-2019	6.9384987	3.6768459	15718.63028	197.877424	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1658	3.2944605	8670.67604	149.221403	16.1365132	2000-2009 –> 2010-2019	7.0092324	3.7147719	15778.47864	281.698238	2	6
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1658	3.3318800	8708.12787	239.194490	20.0356522	2000-2009 –> 2010-2019	7.0291295	3.6972495	15803.64684	503.802938	3	5
Atlantic	(27.75,27.85]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1658	3.3513779	8725.47630	79.878495	23.2148969	2000-2009 –> 2010-2019	7.0662811	3.7149032	15831.37070	144.340585	4	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1658	3.3766772	8752.41453	101.697113	18.8714605	2000-2009 –> 2010-2019	7.1331787	3.7565015	15889.23883	192.166764	5	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	1658	3.4382314	8810.31831	100.936835	18.9353994	2000-2009 –> 2010-2019	7.2739904	3.8357589	15999.38690	189.016479	6	13
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate	1658	3.5791271	8943.49462	73.667356	33.2543309	2000-2009 –> 2010-2019	7.2852613	3.7061341	16043.24918	135.489310	8	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate	1658	3.5034586	8872.63736	55.781304	19.1219641	2000-2009 –> 2010-2019	7.3747070	3.8712483	16085.63277	112.481550	7	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	1658	3.7864932	9130.25628	11.456300	18.0159646	2000-2009 –> 2010-2019	7.6275003	3.8410071	16322.87705	28.187690	9	17
Atlantic	(27.75,27.85]	2	cstar_tref ~ nitrate + phosphate_star	1658	3.8916365	9219.07970	3.323475	14.4422531	2000-2009 –> 2010-2019	7.8730346	3.9813981	16502.96462	5.948157	10	20
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4180	5.2364099	25715.44425	289.215599	26.5522873	1982-1999 –> 2000-2009	9.3038974	4.0674875	45012.74630	853.506422	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4180	5.2505233	25737.94604	50.741512	26.6442765	1982-1999 –> 2000-2009	9.3250094	4.0744861	45046.99677	135.194503	2	4
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4180	5.2543773	25744.08029	50.685101	26.5780025	1982-1999 –> 2000-2009	9.3313482	4.0769709	45057.29747	134.768643	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4180	5.2571598	25748.50621	77.572704	26.5455857	1982-1999 –> 2000-2009	9.3426214	4.0854616	45075.94107	225.251222	4	8
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	4180	5.3114645	25832.41928	39.470453	26.8011513	1982-1999 –> 2000-2009	9.6671468	4.3556822	45595.54811	93.546352	7	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate	4180	5.2667284	25761.70854	17.646994	26.2091378	1982-1999 –> 2000-2009	9.6799874	4.4132589	45614.58249	39.355450	5	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	4180	5.3299713	25861.49746	38.781141	23.1793948	1982-1999 –> 2000-2009	9.6936764	4.3637052	45637.20254	111.945668	10	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	4180	5.3262968	25855.73200	31.377006	25.7415167	1982-1999 –> 2000-2009	9.8374511	4.5111543	45858.54163	76.493119	8	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate	4180	5.3760299	25933.42948	29.205943	25.6606661	1982-1999 –> 2000-2009	9.9182177	4.5421878	45983.09111	68.340435	12	21
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	4180	5.3060384	25823.87439	6.795169	24.5462620	1982-1999 –> 2000-2009	9.9492956	4.6432572	46023.93402	16.739578	6	17
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4522	5.3010812	27929.46543	343.827074	37.0378679	2000-2009 –> 2010-2019	10.5374912	5.2364099	53644.90968	633.042673	2	3
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4522	5.3002608	27928.06552	71.107722	37.0159666	2000-2009 –> 2010-2019	10.5507840	5.2505233	53666.01156	121.849235	1	3
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4522	5.3049972	27936.14382	71.003220	37.0771234	2000-2009 –> 2010-2019	10.5593745	5.2543773	53680.22411	121.688321	4	7
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4522	5.3042142	27934.80895	110.561197	37.0612778	2000-2009 –> 2010-2019	10.5613740	5.2571598	53683.31516	188.133901	3	7
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate	4522	5.3146170	27950.52899	23.674953	37.2538099	2000-2009 –> 2010-2019	10.5813455	5.2667284	53712.23753	41.321947	6	11
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	4522	5.3081621	27939.53788	62.081642	37.0743482	2000-2009 –> 2010-2019	10.6196267	5.3114645	53771.95716	101.552095	5	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	4522	5.3334574	27982.53341	54.528478	36.5760313	2000-2009 –> 2010-2019	10.6597542	5.3262968	53838.26540	85.905484	7	15
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate	4522	5.3931484	28083.18972	47.951235	42.5721356	2000-2009 –> 2010-2019	10.7691782	5.3760299	54016.61920	77.157178	8	20
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	4522	5.6108844	28441.14246	6.418436	34.4549864	2000-2009 –> 2010-2019	10.9169228	5.3060384	54265.01686	13.213604	9	15
Atlantic	(27.85,27.95]	2	cstar_tref ~ nitrate + phosphate_star	4522	5.7102159	28597.85097	1.815494	33.5597790	2000-2009 –> 2010-2019	11.0373053	5.3270894	54452.82691	3.250933	11	20
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2959	1.9792876	12449.71576	167.201905	13.8646623	1982-1999 –> 2000-2009	3.8744329	1.8951453	26243.65095	545.479771	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2959	2.0167248	12560.60624	115.285702	15.1007777	1982-1999 –> 2000-2009	3.9766114	1.9598865	26579.46725	405.370898	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2959	2.0678178	12708.66871	115.861815	16.4443060	1982-1999 –> 2000-2009	4.0762053	2.0083876	26891.21753	413.004098	3	6
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	2959	2.2106935	13102.06479	93.293597	11.7560519	1982-1999 –> 2000-2009	4.5212346	2.3105411	28221.05495	239.496252	4	8
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate	2959	2.3354085	13426.84782	20.130195	22.1163289	1982-1999 –> 2000-2009	4.6516782	2.3162697	28562.41915	39.734239	5	10
Atlantic	(27.95,28.05]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2959	2.5524826	13952.83751	74.076836	14.8885843	1982-1999 –> 2000-2009	5.0149628	2.4624802	29498.27801	156.233109	6	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate	2959	2.5774480	14010.43926	68.081090	15.1169805	1982-1999 –> 2000-2009	5.0752006	2.4977526	29651.11229	156.809817	7	14
Atlantic	(27.95,28.05]	2	cstar_tref ~ nitrate + phosphate	2959	2.5774530	14008.45081	16.036768	15.1224570	1982-1999 –> 2000-2009	5.0970498	2.5195968	29705.42934	28.707166	8	16
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	2959	2.9443086	14797.97272	5.947096	30.6666283	1982-1999 –> 2000-2009	5.5376868	2.5933782	30690.21421	12.331772	9	18
Atlantic	(27.95,28.05]	2	cstar_tref ~ nitrate + phosphate_star	2959	2.9443955	14796.14727	1.960609	30.8770428	1982-1999 –> 2000-2009	5.5378057	2.5934102	30686.47155	3.441693	10	20
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3384	2.7890545	16557.33149	222.925330	8.8759202	2000-2009 –> 2010-2019	4.7683421	1.9792876	29007.04726	390.127235	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3384	2.7974671	16577.71503	171.554864	8.7686319	2000-2009 –> 2010-2019	4.8141919	2.0167248	29138.32127	286.840565	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3384	2.8352947	16668.61933	186.610974	9.6296870	2000-2009 –> 2010-2019	4.9031125	2.0678178	29377.28804	302.472789	3	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3384	2.9027942	16827.85612	355.286330	12.7193317	2000-2009 –> 2010-2019	5.0178249	2.1150307	29670.12675	742.719021	4	8
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate	3384	3.1184109	17310.78172	20.937125	20.5364920	2000-2009 –> 2010-2019	5.4538194	2.3354085	30737.62954	41.067320	5	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	3384	3.2754393	17643.28310	70.312441	19.5652718	2000-2009 –> 2010-2019	5.4861328	2.2106935	30745.34788	163.606038	6	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	3384	3.5805396	18246.05138	25.575355	25.2678686	2000-2009 –> 2010-2019	6.1330222	2.5524826	32198.88889	99.652191	7	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate	3384	3.8066670	18660.52716	27.796633	24.4484621	2000-2009 –> 2010-2019	6.3841151	2.5774480	32670.96642	95.877723	8	16
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	3384	3.8188423	18682.13948	4.176788	30.2648317	2000-2009 –> 2010-2019	6.7631510	2.9443086	33480.11219	10.123884	9	19
Atlantic	(27.95,28.05]	2	cstar_tref ~ nitrate + phosphate_star	3384	3.8684090	18767.41951	2.860677	30.5742151	2000-2009 –> 2010-2019	6.8128045	2.9443955	33563.56678	4.821286	10	21
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1429	2.1701038	6281.63326	88.003723	11.2425875	1982-1999 –> 2000-2009	3.9188793	1.7487755	13188.43356	255.828224	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1429	2.1758829	6289.23413	146.746016	11.3014595	1982-1999 –> 2000-2009	3.9287886	1.7529057	13204.25787	267.728397	2	5
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	1429	2.1767783	6288.41001	60.496587	11.4232681	1982-1999 –> 2000-2009	3.9297103	1.7529320	13201.48598	161.702868	3	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1429	2.1855859	6301.95066	132.985435	11.4923671	1982-1999 –> 2000-2009	3.9371300	1.7515441	13214.26548	236.916086	5	7
Atlantic	(28.05,28.1]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1429	2.1828431	6296.36176	87.992895	11.7560620	1982-1999 –> 2000-2009	3.9434156	1.7605725	13224.59922	251.752576	4	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	1429	2.1953007	6312.62609	48.367857	11.8504089	1982-1999 –> 2000-2009	3.9484795	1.7531789	13226.19300	134.263817	6	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1429	2.2954486	6440.11937	20.508316	14.8627014	1982-1999 –> 2000-2009	4.0547424	1.7592938	13365.82401	50.478081	8	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + phosphate	1429	2.2418596	6372.60605	84.873345	12.7394159	1982-1999 –> 2000-2009	4.0828229	1.8409633	13456.49314	201.194753	7	18
Atlantic	(28.05,28.1]	2	cstar_tref ~ aou + nitrate	1429	2.5433528	6731.22131	2.642206	21.1747868	1982-1999 –> 2000-2009	4.3054689	1.7621161	13660.51375	10.676773	10	18
Atlantic	(28.05,28.1]	2	cstar_tref ~ nitrate + phosphate	1429	2.4812851	6660.60989	45.173322	13.2905853	1982-1999 –> 2000-2009	4.3821248	1.9008397	13854.07259	114.952323	9	29
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2006	2.0350249	8555.33964	170.507688	18.5032420	2000-2009 –> 2010-2019	4.2051287	2.1701038	14836.97290	258.511411	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2006	2.0390408	8563.24915	209.572038	18.6395643	2000-2009 –> 2010-2019	4.2149237	2.1758829	14852.48328	356.318054	3	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2006	2.0389985	8563.16586	161.132990	18.7318034	2000-2009 –> 2010-2019	4.2245844	2.1855859	14865.11652	294.118424	2	7
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	2006	2.0681809	8618.17919	96.678224	18.7936844	2000-2009 –> 2010-2019	4.2634816	2.1953007	14930.80528	145.046080	5	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	2006	2.0962009	8672.16928	119.572322	20.4182312	2000-2009 –> 2010-2019	4.2729792	2.1767783	14960.57930	180.068909	6	9
Atlantic	(28.05,28.1]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2006	2.1152897	8708.53874	169.637407	21.0267204	2000-2009 –> 2010-2019	4.2981328	2.1828431	15004.90049	257.630302	7	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	2006	2.0390418	8561.25113	37.154756	18.6520381	2000-2009 –> 2010-2019	4.3344904	2.2954486	15001.37050	57.663072	4	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + phosphate	2006	2.1537415	8780.81413	154.902211	22.0718793	2000-2009 –> 2010-2019	4.3956011	2.2418596	15153.42017	239.775556	10	17
Atlantic	(28.05,28.1]	2	cstar_tref ~ nitrate + phosphate	2006	2.1659667	8801.52294	94.853625	22.1271473	2000-2009 –> 2010-2019	4.6472518	2.4812851	15462.13282	140.026947	11	20
Atlantic	(28.05,28.1]	2	cstar_tref ~ aou + nitrate	2006	2.1533341	8778.05521	4.518951	26.4811724	2000-2009 –> 2010-2019	4.6966869	2.5433528	15509.27652	7.161157	9	19
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1215	1.4525685	4367.22079	380.812622	4.9628056	1982-1999 –> 2000-2009	2.6544449	1.2018764	9088.31328	558.959672	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1215	1.4608724	4381.07269	402.249702	5.0214862	1982-1999 –> 2000-2009	2.6631553	1.2022830	9103.15902	650.058911	2	5
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	1215	1.4615562	4380.20999	29.425380	5.4717234	1982-1999 –> 2000-2009	2.6634431	1.2018869	9099.32816	78.998839	3	5
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate	1215	1.4624114	4381.63136	50.858810	5.0069664	1982-1999 –> 2000-2009	2.6654130	1.2030016	9103.47314	134.937847	4	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1215	1.4654895	4388.74069	190.510338	5.0511602	1982-1999 –> 2000-2009	2.6772612	1.2117717	9133.92353	403.917108	5	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	1215	1.5078440	4455.97498	9.717810	7.0445705	1982-1999 –> 2000-2009	2.7101303	1.2022863	9176.06938	27.270578	7	11
Atlantic	(28.1,28.15]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1215	1.4739777	4400.77483	82.890842	5.0704647	1982-1999 –> 2000-2009	2.7152597	1.2412819	9214.64925	270.255618	6	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + nitrate + phosphate	1215	1.5216970	4478.19819	112.950059	5.4238605	1982-1999 –> 2000-2009	2.9024968	1.3807998	9605.02316	318.480131	8	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + nitrate + phosphate_star	1215	1.7437501	4809.19300	69.577993	10.8646201	1982-1999 –> 2000-2009	3.0303805	1.2866304	9728.48893	129.639040	9	18
Atlantic	(28.1,28.15]	2	cstar_tref ~ aou + nitrate	1215	1.9677786	5100.90049	2.455847	12.4787806	1982-1999 –> 2000-2009	3.1728990	1.2051204	9825.91233	11.643729	15	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2366	1.5786703	8886.96751	311.790975	9.7061914	2000-2009 –> 2010-2019	3.0312389	1.4525685	13254.18830	692.603597	2	3
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2366	1.5727327	8869.13632	336.567491	10.4875408	2000-2009 –> 2010-2019	3.0336051	1.4608724	13250.20901	738.817192	1	3
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2366	1.5840531	8903.07489	265.511180	10.6278257	2000-2009 –> 2010-2019	3.0495427	1.4654895	13291.81558	456.021518	3	8
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	2366	1.6156583	8994.55847	83.085786	6.8325364	2000-2009 –> 2010-2019	3.0772145	1.4615562	13374.76846	112.511166	7	10
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	2366	1.5851412	8904.32408	22.186844	7.5858100	2000-2009 –> 2010-2019	3.0929852	1.5078440	13360.29906	31.904654	4	11
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate	2366	1.6644918	9135.46501	153.663463	10.0512637	2000-2009 –> 2010-2019	3.1269032	1.4624114	13517.09636	204.522273	11	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2366	1.6965042	9225.60925	236.308048	10.8944341	2000-2009 –> 2010-2019	3.1704819	1.4739777	13626.38408	319.198890	12	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + nitrate + phosphate	2366	1.7238914	9301.38956	265.485847	12.7714576	2000-2009 –> 2010-2019	3.2455884	1.5216970	13779.58775	378.435906	14	22
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + nitrate + phosphate_star	2366	1.5910475	8921.92284	68.471801	13.3413838	2000-2009 –> 2010-2019	3.3347975	1.7437501	13731.11584	138.049794	5	14
Atlantic	(28.1,28.15]	2	cstar_tref ~ nitrate + phosphate	2366	1.7239493	9299.54849	125.625789	12.7007883	2000-2009 –> 2010-2019	3.5166291	1.7926797	14173.98822	165.723118	15	25
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	699	0.7131663	1521.09530	190.315051	4.2360285	1982-1999 –> 2000-2009	1.0804478	0.3672815	2151.22063	218.509313	1	2
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	699	0.7149786	1524.64336	14.446721	4.2181651	1982-1999 –> 2000-2009	1.0823370	0.3673584	2155.07968	19.594763	2	4
Atlantic	(28.15,28.2]	2	cstar_tref ~ aou + nitrate	699	0.7207652	1533.91240	3.447664	4.3662781	1982-1999 –> 2000-2009	1.0882816	0.3675164	2162.98769	5.588260	3	6
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	699	0.7231317	1540.49495	38.737978	4.2086498	1982-1999 –> 2000-2009	1.1435119	0.4203801	2371.27611	55.866133	4	8
Atlantic	(28.15,28.2]	2	cstar_tref ~ nitrate + phosphate_star	699	0.7532822	1595.60119	3.249546	4.8936817	1982-1999 –> 2000-2009	1.2033083	0.4500261	2525.64750	5.288702	5	10
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate_star	699	0.7708044	1629.74788	7.724984	4.2753368	1982-1999 –> 2000-2009	1.3381318	0.5673274	2905.99791	13.540031	6	13
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + phosphate + phosphate_star	699	0.7773390	1641.54965	35.085658	4.3149181	1982-1999 –> 2000-2009	1.3472581	0.5699191	2924.57270	51.521928	7	15
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate	699	0.7804436	1647.12199	15.755249	4.3225314	1982-1999 –> 2000-2009	1.3525639	0.5721203	2935.87322	21.903223	8	17
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	699	0.7845124	1654.39135	386.602800	4.3267361	1982-1999 –> 2000-2009	1.3585288	0.5740164	2948.05952	471.768051	9	19
Atlantic	(28.15,28.2]	2	cstar_tref ~ temp + nitrate	699	0.8145201	1704.86780	1.024720	6.0586286	1982-1999 –> 2000-2009	1.3613230	0.5468029	2924.36147	2.130243	10	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	1084	0.6432079	2129.54797	40.319074	2.4355850	2000-2009 –> 2010-2019	1.3563742	0.7131663	3650.64328	230.634125	1	2
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	1084	0.6491543	2149.49881	6.039554	2.4749003	2000-2009 –> 2010-2019	1.3641329	0.7149786	3674.14217	20.486275	2	4
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	1084	0.6509639	2155.53387	20.336624	2.4999849	2000-2009 –> 2010-2019	1.3740956	0.7231317	3696.02882	59.074603	3	7
Atlantic	(28.15,28.2]	2	cstar_tref ~ aou + nitrate	1084	0.6609337	2186.48622	2.432415	2.5912821	2000-2009 –> 2010-2019	1.3816989	0.7207652	3720.39862	5.880079	6	9
Atlantic	(28.15,28.2]	2	cstar_tref ~ nitrate + phosphate_star	1084	0.6536531	2162.47167	2.208425	2.8280302	2000-2009 –> 2010-2019	1.4069353	0.7532822	3758.07286	5.457971	5	10
Atlantic	(28.15,28.2]	2	cstar_tref ~ temp + nitrate	1084	0.6511640	2154.20018	1.029700	2.5984068	2000-2009 –> 2010-2019	1.4656841	0.8145201	3859.06798	2.054420	4	14
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate_star	1084	0.7364594	2423.06487	5.103249	2.6918304	2000-2009 –> 2010-2019	1.5072638	0.7708044	4052.81276	12.828233	7	13
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + phosphate + phosphate_star	1084	0.7377177	2426.76600	19.031665	2.6838266	2000-2009 –> 2010-2019	1.5150567	0.7773390	4068.31566	54.117322	8	15
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate	1084	0.7378737	2427.22457	6.511597	2.6851248	2000-2009 –> 2010-2019	1.5183174	0.7804436	4074.34656	22.266846	9	17
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	1084	0.7385393	2429.17933	82.761103	2.6910299	2000-2009 –> 2010-2019	1.5230517	0.7845124	4083.57068	469.363903	10	19
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	935	0.5260741	1464.28924	549.764978	4.2786452	1982-1999 –> 2000-2009	0.8369254	0.3108513	1861.05399	1224.661293	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	935	0.5286493	1473.42098	289.432053	4.4596935	1982-1999 –> 2000-2009	0.8399421	0.3112927	1872.36554	704.197710	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	935	0.5293560	1475.91905	297.305983	4.5101042	1982-1999 –> 2000-2009	0.8417581	0.3124021	1880.32779	704.881299	3	7
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	935	0.5300688	1478.43528	297.601271	4.5503066	1982-1999 –> 2000-2009	0.8424202	0.3123514	1882.59479	865.012655	4	7
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + phosphate + phosphate_star	935	0.7452702	2113.61932	335.670802	3.8383114	1982-1999 –> 2000-2009	1.0834938	0.3382235	2638.01081	482.307431	6	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	935	0.7474911	2119.18356	2.635644	3.8534140	1982-1999 –> 2000-2009	1.0860003	0.3385092	2644.87181	9.576219	8	15
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate	935	0.7506247	2127.00654	5.369565	3.8670328	1982-1999 –> 2000-2009	1.0925571	0.3419324	2668.14945	19.101606	9	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + phosphate + phosphate_star	935	0.7516267	2129.50107	21.526103	3.8721735	1982-1999 –> 2000-2009	1.0935819	0.3419552	2670.74672	92.349066	10	19
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + nitrate	935	0.5918836	1682.70247	5.196987	5.4021836	1982-1999 –> 2000-2009	1.1473835	0.5554999	2969.19781	19.870278	5	19
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + nitrate + phosphate	935	0.8634015	2388.75805	286.505284	3.5988691	1982-1999 –> 2000-2009	1.1773035	0.3139020	2798.52368	664.831880	11	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1295	0.2257250	-168.00326	875.932567	2.5307332	2000-2009 –> 2010-2019	0.7517991	0.5260741	1296.28598	1425.697545	3	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1295	0.2242137	-185.40253	325.467836	2.5227950	2000-2009 –> 2010-2019	0.7535697	0.5293560	1290.51652	622.773819	2	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1295	0.2236154	-192.32307	243.802523	2.5186908	2000-2009 –> 2010-2019	0.7536841	0.5300688	1286.11221	541.403794	1	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1295	0.2276328	-146.20463	242.522315	2.5186728	2000-2009 –> 2010-2019	0.7562821	0.5286493	1327.21635	531.954368	4	6
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + phosphate + phosphate_star	1295	0.2383573	-28.96872	69.302511	2.4310551	2000-2009 –> 2010-2019	0.9836275	0.7452702	2084.65060	404.973313	7	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	1295	0.2389833	-22.17565	2.275229	2.4241557	2000-2009 –> 2010-2019	0.9864744	0.7474911	2097.00791	4.910873	8	16
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate	1295	0.2367157	-46.86842	4.541129	2.4242586	2000-2009 –> 2010-2019	0.9873404	0.7506247	2080.13811	9.910694	6	15
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + phosphate + phosphate_star	1295	0.2360767	-53.86909	7.507446	2.4207074	2000-2009 –> 2010-2019	0.9877034	0.7516267	2075.63198	29.033549	5	15
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + nitrate	1295	0.4136330	1398.66036	3.406617	1.5817187	2000-2009 –> 2010-2019	1.0055166	0.5918836	3081.36283	8.603604	15	20
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + nitrate + phosphate	1295	0.3000557	567.24179	125.319972	3.6383237	2000-2009 –> 2010-2019	1.1634572	0.8634015	2955.99983	411.825257	11	22
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3586	10.8447035	27284.35718	61.870041	120.0574108	1982-1999 –> 2000-2009	21.0687813	10.2240778	43850.92802	132.226659	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3586	10.8440455	27283.92202	62.233507	118.5174750	1982-1999 –> 2000-2009	21.1000180	10.2559725	43864.26608	131.960353	1	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3586	10.9964837	27384.03910	102.891207	119.5064688	1982-1999 –> 2000-2009	21.2177237	10.2212400	43949.38238	256.319571	5	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3586	10.8592859	27293.99459	79.701095	118.5081127	1982-1999 –> 2000-2009	21.3136610	10.4543751	43959.06570	177.888862	4	8
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	3586	10.8447036	27282.35727	31.333849	120.0360958	1982-1999 –> 2000-2009	21.9848571	11.1401535	44226.38214	74.055141	3	8
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	3586	12.3476387	28213.19703	58.997502	156.7148696	1982-1999 –> 2000-2009	25.8620978	13.5144591	46011.57064	127.527909	6	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate	3586	13.7510984	28985.29054	26.318590	45.2168199	1982-1999 –> 2000-2009	26.2400228	12.4889243	46434.68892	68.172208	9	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	3586	13.6831706	28949.77443	8.842056	43.4386122	1982-1999 –> 2000-2009	26.2619115	12.5787408	46430.86068	17.142777	8	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + phosphate + phosphate_star	3586	13.8458145	29034.52113	97.556526	46.2019513	1982-1999 –> 2000-2009	26.3128810	12.4670665	46476.17345	247.763917	10	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + phosphate + phosphate_star	3586	13.6691708	28942.43267	16.589283	45.6561296	1982-1999 –> 2000-2009	26.3135165	12.6443457	46446.52209	32.720119	7	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5162	10.6859454	39117.94822	66.477811	117.2227574	2000-2009 –> 2010-2019	21.5299909	10.8440455	66401.87024	128.711318	2	3
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5162	10.6853612	39117.38377	74.654835	115.8141522	2000-2009 –> 2010-2019	21.5300647	10.8447035	66401.74095	136.524877	1	3
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	5162	10.7279334	39156.43453	34.938508	129.8832433	2000-2009 –> 2010-2019	21.5726370	10.8447036	66438.79180	66.272357	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5162	10.8513735	39276.54850	122.721911	105.6250748	2000-2009 –> 2010-2019	21.8478572	10.9964837	66660.58759	225.613119	4	9
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5162	11.0298094	39444.93189	102.199857	124.7411357	2000-2009 –> 2010-2019	21.8890953	10.8592859	66738.92648	181.900953	5	9
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	5162	12.7128448	40909.05682	63.343799	161.3388830	2000-2009 –> 2010-2019	25.0604835	12.3476387	69122.25385	122.341300	7	13
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + phosphate + phosphate_star	5162	12.6968839	40896.08698	109.253537	47.5823711	2000-2009 –> 2010-2019	26.5426984	13.8458145	69930.60811	206.810062	6	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate	5162	12.8217932	40997.15600	31.991508	64.5979625	2000-2009 –> 2010-2019	26.5728917	13.7510984	69982.44653	58.310098	8	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	5162	13.1099250	41226.58892	9.780116	87.0899812	2000-2009 –> 2010-2019	26.7930956	13.6831706	70176.36334	18.622172	9	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + phosphate + phosphate_star	5162	13.2899492	41367.39250	18.936836	95.2292221	2000-2009 –> 2010-2019	26.9591199	13.6691708	70309.82517	35.526118	10	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2950	10.2716179	22127.10620	579.775116	46.6966236	1982-1999 –> 2000-2009	18.6749596	8.4033417	39061.00544	1039.265130	3	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2950	10.2359531	22106.58473	105.725330	55.8471760	1982-1999 –> 2000-2009	18.7010466	8.4650934	39075.40807	191.517449	1	3
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2950	10.2622299	22121.71126	24.753919	64.3725771	1982-1999 –> 2000-2009	18.8439506	8.5817207	39155.80433	45.411796	2	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2950	10.3111730	22149.78293	50.253554	69.7810897	1982-1999 –> 2000-2009	18.9824963	8.6713233	39233.42187	88.659750	4	8
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	2950	11.6324542	22859.15125	545.375877	53.2905390	1982-1999 –> 2000-2009	21.1526081	9.5201539	40386.25861	989.416571	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate	2950	11.6326093	22859.22992	105.083176	58.9369903	1982-1999 –> 2000-2009	21.1728615	9.5402522	40396.39674	183.908365	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	2950	11.6785625	22882.49125	24.621688	67.7947172	1982-1999 –> 2000-2009	21.2918444	9.6132818	40456.03290	36.075660	7	14
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	2950	11.7021560	22894.39862	44.070535	70.1490342	1982-1999 –> 2000-2009	21.3488517	9.6466957	40484.49107	64.791148	8	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	2950	11.9773275	23031.52873	49.336969	55.9636187	1982-1999 –> 2000-2009	22.1082810	10.1309535	40855.25577	91.599536	9	18
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + phosphate	2950	12.3688396	23219.30156	28.062586	57.8611068	1982-1999 –> 2000-2009	22.8557135	10.4868739	41205.73162	59.970149	10	20
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3020	11.4043982	23283.74325	347.150650	53.4375327	2000-2009 –> 2010-2019	21.6760162	10.2716179	45410.84945	926.925766	1	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3020	11.6954728	23435.96779	65.606823	66.5089869	2000-2009 –> 2010-2019	21.9314259	10.2359531	45542.55253	171.332153	2	3
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3020	12.0364533	23609.54525	21.369175	76.1209511	2000-2009 –> 2010-2019	22.2986832	10.2622299	45731.25652	46.123095	3	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3020	12.3391137	23759.54484	40.727642	83.3639102	2000-2009 –> 2010-2019	22.6502867	10.3111730	45909.32778	90.981197	4	8
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	3020	13.0619414	24101.39346	328.067027	61.9725814	2000-2009 –> 2010-2019	24.6943956	11.6324542	46960.54471	873.442904	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate	3020	13.2780089	24200.48832	57.711978	70.3826814	2000-2009 –> 2010-2019	24.9106182	11.6326093	47059.71823	162.795154	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	3020	13.6685525	24375.57917	13.133049	80.3808931	2000-2009 –> 2010-2019	25.3471150	11.6785625	47258.07043	37.754737	8	15
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	3020	13.5024145	24301.71459	28.249658	71.6655402	2000-2009 –> 2010-2019	25.4797420	11.9773275	47333.24331	77.586627	7	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	3020	13.7834676	24426.14678	22.808248	82.4510834	2000-2009 –> 2010-2019	25.4856236	11.7021560	47320.54539	66.878783	9	17
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + phosphate	3020	13.9919224	24514.80910	16.266412	72.7974052	2000-2009 –> 2010-2019	26.3607620	12.3688396	47734.11066	44.328999	10	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2722	9.2270249	19834.01337	64.115685	33.7428094	1982-1999 –> 2000-2009	17.4197271	8.1927022	34765.97768	111.330033	3	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2722	9.2251339	19832.89758	36.273141	33.8078477	1982-1999 –> 2000-2009	17.4516956	8.2265617	34782.33271	60.516757	2	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2722	9.2193178	19829.46427	180.566242	33.9071380	1982-1999 –> 2000-2009	17.5415647	8.3222469	34827.88504	367.271066	1	4
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	2722	9.2561072	19849.14513	19.767050	34.4981268	1982-1999 –> 2000-2009	17.7504773	8.4943701	34932.28241	31.864534	6	11
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate	2722	9.4229091	19946.37655	60.935993	35.4967677	1982-1999 –> 2000-2009	17.7735847	8.3506756	34957.24279	100.496045	11	15
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2722	9.2436477	19841.81215	18.685219	34.3550043	1982-1999 –> 2000-2009	17.7826619	8.5390141	34947.15437	31.279025	4	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	2722	9.2490782	19845.00945	25.992441	32.6014358	1982-1999 –> 2000-2009	18.0040662	8.7549880	35056.15862	38.359242	5	12
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ nitrate + phosphate_star	2722	9.3911390	19925.99065	4.021837	31.9242753	1982-1999 –> 2000-2009	18.1527425	8.7616036	35138.33948	6.232139	10	18
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + phosphate + phosphate_star	2722	9.5339026	20010.12732	59.700556	30.8767001	1982-1999 –> 2000-2009	18.3705139	8.8366113	35260.58604	100.311003	13	22
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate_star	2722	9.5403751	20013.82198	36.197756	31.8034652	1982-1999 –> 2000-2009	18.3837729	8.8433977	35267.53266	59.957403	14	24
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2476	11.5982845	19175.22847	184.538329	33.4481644	2000-2009 –> 2010-2019	20.8176023	9.2193178	39004.69274	365.104571	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2476	11.5983833	19175.27067	27.499786	33.4227360	2000-2009 –> 2010-2019	20.8235173	9.2251339	39008.16825	63.772927	3	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2476	11.5983461	19175.25475	55.470234	33.4140137	2000-2009 –> 2010-2019	20.8253709	9.2270249	39009.26812	119.585920	2	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2476	11.6084055	19179.54785	895.599509	33.3137884	2000-2009 –> 2010-2019	20.8436490	9.2352435	39018.40810	1834.836309	8	12
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	2476	11.5986612	19173.38930	12.322190	33.6108180	2000-2009 –> 2010-2019	20.8477394	9.2490782	39018.39876	38.314631	5	11
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + nitrate + phosphate	2476	11.5984325	19173.29166	9.267767	33.3228979	2000-2009 –> 2010-2019	20.8833368	9.2849043	39039.34756	28.796733	4	12
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	2476	11.5989150	19173.49766	11.518742	33.2287197	2000-2009 –> 2010-2019	20.8865726	9.2876575	39041.16765	32.142892	6	15
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ temp + nitrate	2476	11.6014641	19172.58585	1.069890	33.6083022	2000-2009 –> 2010-2019	20.8897621	9.2882980	39038.63122	2.749353	7	17
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2476	11.6963891	19214.93900	9.747824	36.6978649	2000-2009 –> 2010-2019	20.9400368	9.2436477	39056.75115	28.433043	9	14
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	2476	11.7304885	19229.35496	10.064712	37.3040226	2000-2009 –> 2010-2019	20.9865957	9.2561072	39078.50009	29.831761	10	17
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3372	6.4285499	22130.21268	21.751696	21.6949903	1982-1999 –> 2000-2009	11.9822123	5.5536624	39087.61898	45.205098	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3372	6.4572461	22160.25004	17.271338	21.6677424	1982-1999 –> 2000-2009	12.0183133	5.5610672	39124.86212	32.671110	2	6
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3372	6.4641898	22167.49816	73.892850	21.5024265	1982-1999 –> 2000-2009	12.0203149	5.5561251	39127.30207	165.472568	3	5
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + phosphate + phosphate_star	3372	6.4677116	22169.17142	14.190519	21.4928150	1982-1999 –> 2000-2009	12.0439567	5.5762451	39146.52353	29.422827	5	10
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3372	6.4666689	22168.08411	17.120961	21.3435463	1982-1999 –> 2000-2009	12.0520550	5.5853861	39154.29415	28.176815	4	11
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	3372	6.5094331	22212.53551	10.831782	21.4162929	1982-1999 –> 2000-2009	12.0962658	5.5868326	39200.14596	21.727684	6	14
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate	3372	6.5145664	22217.85160	72.962017	21.2451710	1982-1999 –> 2000-2009	12.0975412	5.5829748	39201.72645	134.536408	7	13
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + nitrate + phosphate	3372	6.5449216	22249.20295	15.552801	20.8476179	1982-1999 –> 2000-2009	12.1036640	5.5587423	39209.55369	23.506008	9	12
Indo-Pacific	(26.75,27]	2	cstar_tref ~ temp + aou	3372	6.5151723	22216.47882	1.085723	21.1690169	1982-1999 –> 2000-2009	12.1147334	5.5995611	39214.39634	2.088935	8	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3372	6.5593659	22266.07017	352.167645	21.2321469	1982-1999 –> 2000-2009	12.1492792	5.5899133	39258.66185	771.057453	10	19
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3590	7.1344846	24301.48024	13.600274	26.0187382	2000-2009 –> 2010-2019	13.5630346	6.4285499	46431.69293	35.351970	1	2
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + phosphate + phosphate_star	3590	7.1375493	24302.56293	10.271580	26.5335732	2000-2009 –> 2010-2019	13.6052609	6.4677116	46471.73435	24.462099	2	7
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3590	7.1805037	24347.63133	10.097005	25.6590000	2000-2009 –> 2010-2019	13.6377499	6.4572461	46507.88136	27.368344	3	5
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	3590	7.1877041	24352.82563	7.928421	26.4376705	2000-2009 –> 2010-2019	13.6971373	6.5094331	46565.36114	18.760204	4	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3590	7.2401614	24413.81903	53.712480	25.0352453	2000-2009 –> 2010-2019	13.7043512	6.4641898	46581.31718	127.605330	5	8
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate	3590	7.2493151	24420.89089	44.871466	25.9033189	2000-2009 –> 2010-2019	13.7638815	6.5145664	46638.74249	117.833483	6	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3590	7.4236873	24586.70424	235.890831	23.6743505	2000-2009 –> 2010-2019	13.9830532	6.5593659	46852.77441	588.058475	7	17
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3590	7.6047527	24764.57170	9.869010	19.5249341	2000-2009 –> 2010-2019	14.0714216	6.4666689	46932.65581	26.989971	9	13
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + phosphate + phosphate_star	3590	7.4493081	24609.43443	213.102655	25.0856388	2000-2009 –> 2010-2019	14.0840395	6.6347315	46950.54979	549.781338	8	19
Indo-Pacific	(26.75,27]	2	cstar_tref ~ temp + aou	3590	7.6187753	24775.79894	1.001101	20.5813247	2000-2009 –> 2010-2019	14.1339476	6.5151723	46992.27776	2.086823	10	18
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4489	4.5727953	26398.90952	756.655331	16.8562561	1982-1999 –> 2000-2009	8.1384138	3.5656185	45619.48066	1431.566687	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4489	4.6053849	26462.66743	108.832967	16.8204629	1982-1999 –> 2000-2009	8.1804999	3.5751150	45702.22964	207.533940	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4489	4.6384979	26526.98880	26.617576	16.8172884	1982-1999 –> 2000-2009	8.2470111	3.6085132	45832.94217	44.033724	3	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4489	4.6414736	26532.74651	26.450890	16.8422783	1982-1999 –> 2000-2009	8.2534463	3.6119727	45845.54177	39.657715	4	9
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	4489	4.6757359	26596.77678	35.840649	16.5267830	1982-1999 –> 2000-2009	8.2551029	3.5793669	45842.82560	50.881054	6	9
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	4489	4.6490341	26545.35899	6.124757	16.9692332	1982-1999 –> 2000-2009	8.2815430	3.6325088	45896.63426	13.611684	5	11
Indo-Pacific	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	4489	4.7537809	26745.39592	15.163039	16.4583099	1982-1999 –> 2000-2009	8.4083608	3.6545799	46139.92252	20.923785	7	14
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	4489	4.8016078	26835.27057	19.772562	16.4965318	1982-1999 –> 2000-2009	8.4848482	3.6832404	46285.57304	26.854262	12	20
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	4489	4.7781654	26791.33093	67.948974	16.4329780	1982-1999 –> 2000-2009	8.5397241	3.7615587	46391.86271	111.198222	9	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + phosphate + phosphate_star	4489	4.7758923	26787.05875	442.827222	16.4625848	1982-1999 –> 2000-2009	8.5620294	3.7861371	46434.09220	766.283463	8	19
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4503	5.0150018	27312.53908	526.940258	16.5823219	2000-2009 –> 2010-2019	9.5877971	4.5727953	53711.44860	1283.595589	3	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4503	5.0041930	27293.10754	75.492866	16.5162430	2000-2009 –> 2010-2019	9.6095779	4.6053849	53755.77498	184.325833	1	3
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4503	5.0126181	27308.25734	16.792489	16.4893441	2000-2009 –> 2010-2019	9.6511160	4.6384979	53835.24615	43.410064	2	5
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4503	5.0244440	27329.47954	16.773905	16.5228068	2000-2009 –> 2010-2019	9.6659176	4.6414736	53862.22605	43.224795	7	11
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	4503	5.0172706	27314.61238	21.786928	16.6238960	2000-2009 –> 2010-2019	9.6930065	4.6757359	53911.38916	57.627578	5	11
Indo-Pacific	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	4503	5.0165413	27313.30323	8.724900	16.5490050	2000-2009 –> 2010-2019	9.7703221	4.7537809	54058.69915	23.887939	4	11
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	4503	5.1360414	27525.32182	6.119122	17.0623142	2000-2009 –> 2010-2019	9.7850756	4.6490341	54070.68081	12.243879	16	21
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	4503	5.0244650	27327.51722	11.428806	16.5194024	2000-2009 –> 2010-2019	9.8260728	4.8016078	54162.78779	31.201368	8	20
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	4503	5.0840813	27433.74617	42.795133	16.3829423	2000-2009 –> 2010-2019	9.8622467	4.7781654	54225.07710	110.744108	10	19
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + phosphate + phosphate_star	4503	5.0786222	27424.07076	5.044716	16.3614611	2000-2009 –> 2010-2019	9.8740053	4.7953831	54247.69487	10.317644	9	20
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5910	3.5171575	31649.31362	258.452198	13.9312735	1982-1999 –> 2000-2009	6.7103750	3.1932175	54137.99104	403.320661	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5910	3.5629920	31802.35291	48.697009	14.7811250	1982-1999 –> 2000-2009	6.8200329	3.2570409	54463.44132	65.054123	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5910	3.5760451	31845.57684	49.282925	14.9549481	1982-1999 –> 2000-2009	6.8421516	3.2661065	54530.88027	71.752000	3	6
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	5910	3.8453903	32701.91737	9.210935	11.8875681	1982-1999 –> 2000-2009	7.2066577	3.3612673	55635.42507	17.770081	4	8
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	5910	3.9798959	33108.29538	678.501668	11.3815958	1982-1999 –> 2000-2009	7.3461197	3.3662238	56054.64010	974.462899	5	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate	5910	4.0392125	33283.16150	93.004485	11.4297246	1982-1999 –> 2000-2009	7.4503976	3.4111851	56345.09871	131.472007	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	5910	4.0691223	33370.36431	6.158742	11.4954988	1982-1999 –> 2000-2009	7.5155570	3.4464347	56521.86531	12.061466	7	14
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	5910	4.0743111	33385.42723	7.642732	11.5208262	1982-1999 –> 2000-2009	7.5234542	3.4491431	56543.77184	14.074059	8	16
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ temp + phosphate_star	5910	4.5385056	34658.75940	3.379754	16.9002767	1982-1999 –> 2000-2009	8.0694192	3.5309136	58019.23335	9.135594	18	27
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + nitrate + phosphate	5910	4.4924077	34540.08913	44.404024	13.7985564	1982-1999 –> 2000-2009	8.0918254	3.5994177	58069.96794	63.433508	13	23
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5781	3.6537331	31399.22200	185.205248	13.8244600	2000-2009 –> 2010-2019	7.1708906	3.5171575	63048.53562	443.657446	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5781	3.6902203	31514.11075	30.081668	14.0494958	2000-2009 –> 2010-2019	7.2532123	3.5629920	63316.46367	78.778677	3	5
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5781	3.6923026	31520.63292	30.175117	14.1404981	2000-2009 –> 2010-2019	7.2683477	3.5760451	63366.20976	79.458041	4	7
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	5781	3.6951220	31527.45828	8.597946	14.4288227	2000-2009 –> 2010-2019	7.5405124	3.8453903	64229.37565	17.808881	5	9
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	5781	3.6551657	31401.75466	383.011219	15.5187904	2000-2009 –> 2010-2019	7.6350616	3.9798959	64510.05004	1061.512887	2	7
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate	5781	3.7043805	31556.39179	52.348887	15.5641499	2000-2009 –> 2010-2019	7.7435930	4.0392125	64839.55329	145.353372	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	5781	3.7264407	31625.04110	4.991877	15.5812955	2000-2009 –> 2010-2019	7.7955629	4.0691223	64995.40541	11.150619	7	14
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	5781	3.7306417	31638.06834	6.306704	15.6160092	2000-2009 –> 2010-2019	7.8049528	4.0743111	65023.49557	13.949436	8	16
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate	5781	3.8308196	31944.44419	8.450199	16.7468862	2000-2009 –> 2010-2019	8.2856642	4.4548446	66385.28516	25.940842	9	18
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + nitrate + phosphate	5781	3.8595534	32030.84361	28.136513	17.0082540	2000-2009 –> 2010-2019	8.3519612	4.4924077	66570.93275	72.540537	11	24
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6531	2.1007442	28241.98859	950.859730	10.8221427	1982-1999 –> 2000-2009	4.2365777	2.1358335	49182.60334	1494.341314	1	2
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	6531	2.1161074	28335.16664	398.397558	10.7454991	1982-1999 –> 2000-2009	4.2686057	2.1524983	49348.47223	625.200935	2	4
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6531	2.1924512	28800.10886	201.052132	11.2739149	1982-1999 –> 2000-2009	4.4038368	2.2113855	50074.78926	323.277496	3	6
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	6531	2.2017804	28853.57158	90.351578	11.1730843	1982-1999 –> 2000-2009	4.4232162	2.2214358	50169.82855	137.693611	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6531	2.2112084	28911.38360	114.894550	11.5126917	1982-1999 –> 2000-2009	4.4530182	2.2418098	50317.37727	152.767788	5	10
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	6531	2.2204631	28963.93873	4.525963	11.4119317	1982-1999 –> 2000-2009	4.4703922	2.2499291	50402.67442	9.326725	7	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	6531	2.2200985	28963.79338	107.103975	11.5332085	1982-1999 –> 2000-2009	4.4704095	2.2503110	50406.16031	143.005400	6	13
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + phosphate + phosphate_star	6531	2.2255026	28993.55023	3.638968	11.4317709	1982-1999 –> 2000-2009	4.4810771	2.2555745	50456.36886	7.797571	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	6531	2.2537548	29158.32546	4.465617	11.1374530	1982-1999 –> 2000-2009	4.5599757	2.3062209	50834.53885	9.567021	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate	6531	2.4121306	30045.40215	49.741262	12.2773578	1982-1999 –> 2000-2009	5.0239199	2.6117893	52917.34310	64.205721	12	22
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	7011	2.1972094	30944.30784	352.100105	14.6968472	2000-2009 –> 2010-2019	4.3133169	2.1161074	59279.47448	750.497663	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	7011	2.2659668	31378.37351	239.399279	13.5379882	2000-2009 –> 2010-2019	4.4584180	2.1924512	60178.48237	440.451411	2	4
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	7011	2.2736518	31423.84852	83.721436	12.2919857	2000-2009 –> 2010-2019	4.4754322	2.2017804	60277.42010	174.073013	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7011	2.2878200	31512.95480	89.626476	12.8418845	2000-2009 –> 2010-2019	4.4990284	2.2112084	60424.33840	204.521026	4	8
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	7011	2.2945467	31552.12240	6.078386	11.7128541	2000-2009 –> 2010-2019	4.5150099	2.2204631	60516.06113	10.604349	5	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	7011	2.2953199	31558.84623	88.824054	12.3724610	2000-2009 –> 2010-2019	4.5154183	2.2200985	60522.63960	195.928029	6	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + phosphate + phosphate_star	7011	2.2989740	31579.15162	4.845699	11.7458576	2000-2009 –> 2010-2019	4.5244766	2.2255026	60572.70185	8.484666	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	7011	2.3202772	31708.48631	6.462882	11.2165330	2000-2009 –> 2010-2019	4.5740320	2.2537548	60866.81177	10.928499	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	7011	2.4684171	32576.31387	86.823896	11.9815573	2000-2009 –> 2010-2019	4.8420714	2.3736544	62411.68281	200.179116	10	19
Indo-Pacific	(27.5,27.75]	2	cstar_tref ~ temp + aou	7011	2.4706737	32587.12688	1.150779	12.1878852	2000-2009 –> 2010-2019	4.8535554	2.3828817	62471.17438	2.272293	11	21
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3167	1.0447853	9277.05811	777.983700	5.4880823	1982-1999 –> 2000-2009	2.3835199	1.3387346	17195.74438	1284.628600	1	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3167	1.0481525	9297.43889	715.129053	5.5046023	1982-1999 –> 2000-2009	2.3865079	1.3383554	17214.81570	1193.239468	2	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3167	1.0486954	9300.71854	767.704476	5.4940557	1982-1999 –> 2000-2009	2.3869953	1.3383000	17217.90379	1263.411207	3	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3167	1.0629768	9386.39456	803.984306	5.5443734	1982-1999 –> 2000-2009	2.4045042	1.3415275	17314.71306	1291.400515	5	9
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3167	1.0517497	9317.13940	100.835398	5.3473618	1982-1999 –> 2000-2009	2.4399294	1.3881798	17401.45862	185.150496	4	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	3167	1.1350461	9799.90491	430.209968	5.6921335	1982-1999 –> 2000-2009	2.4856494	1.3506033	17757.38742	660.765322	6	11
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	3167	1.1436829	9847.91950	95.504201	5.6905052	1982-1999 –> 2000-2009	2.4943861	1.3507032	17805.74379	178.397053	7	13
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	3167	1.1485439	9874.78375	1.851782	5.6709743	1982-1999 –> 2000-2009	2.5008176	1.3522737	17837.97886	4.443728	8	15
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + phosphate + phosphate_star	3167	1.1497375	9881.36285	1.883951	5.6689381	1982-1999 –> 2000-2009	2.5025564	1.3528189	17846.42120	4.570495	9	17
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	3167	1.1982673	10143.22885	1.872682	5.6703607	1982-1999 –> 2000-2009	2.5770438	1.3787765	18196.13302	4.504624	10	19
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3695	1.2017263	11855.93538	983.075312	12.9230601	2000-2009 –> 2010-2019	2.2465116	1.0447853	21132.99349	1761.059012	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3695	1.2027670	11862.33273	977.312407	13.4689615	2000-2009 –> 2010-2019	2.2509195	1.0481525	21159.77162	1692.441461	3	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3695	1.2025878	11861.23158	969.277188	13.4406245	2000-2009 –> 2010-2019	2.2512832	1.0486954	21161.95012	1736.981664	2	5
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3695	1.2047026	11872.21557	151.035911	12.6657327	2000-2009 –> 2010-2019	2.2564522	1.0517497	21189.35497	251.871309	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3695	1.2089921	11900.48206	954.378137	14.6582243	2000-2009 –> 2010-2019	2.2719689	1.0629768	21286.87662	1758.362444	5	10
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	3695	1.3060919	12469.37689	405.999075	9.8033225	2000-2009 –> 2010-2019	2.4411380	1.1350461	22269.28180	836.209042	6	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	3695	1.3107309	12495.57855	143.353885	8.4595599	2000-2009 –> 2010-2019	2.4544139	1.1436829	22343.49806	238.858085	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	3695	1.3134512	12510.89980	2.254392	8.0131199	2000-2009 –> 2010-2019	2.4619951	1.1485439	22385.68355	4.106174	8	16
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + phosphate + phosphate_star	3695	1.3140623	12514.33699	2.181933	7.9204822	2000-2009 –> 2010-2019	2.4637998	1.1497375	22395.69984	4.065884	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	3695	1.3479653	12702.58193	2.187835	7.1750656	2000-2009 –> 2010-2019	2.5462325	1.1982673	22845.81078	4.060517	10	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4172	1.0117317	11948.94262	565.903305	10.3753022	1982-1999 –> 2000-2009	2.2172852	1.2055536	21487.00722	909.861027	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4172	1.0182223	12002.30094	454.054061	10.1922170	1982-1999 –> 2000-2009	2.2244215	1.2061992	21543.54180	779.726243	4	7
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4172	1.0191644	12010.01780	489.323682	10.1408824	1982-1999 –> 2000-2009	2.2251320	1.2059677	21550.11968	844.119588	5	7
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	4172	1.0250814	12056.32101	4.174846	9.7295735	1982-1999 –> 2000-2009	2.2430598	1.2179784	21653.20987	7.929224	8	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + phosphate + phosphate_star	4172	1.0211490	12024.24983	4.181418	10.4092540	1982-1999 –> 2000-2009	2.2937876	1.2726386	21881.55345	8.034176	7	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	4172	1.0200924	12015.61201	3.471139	10.4869496	1982-1999 –> 2000-2009	2.2946561	1.2745637	21881.88198	6.577673	6	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	4172	1.0165126	11986.27911	72.616070	10.8392926	1982-1999 –> 2000-2009	2.2999011	1.2833885	21893.47924	134.139563	3	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	4172	1.0159127	11981.35328	592.630631	11.7183100	1982-1999 –> 2000-2009	2.3224184	1.3065058	21994.45371	933.059600	2	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	4172	1.3004114	14041.43044	62.706669	15.0540374	1982-1999 –> 2000-2009	3.1095625	1.8091511	25985.40595	124.181610	9	18
Indo-Pacific	(27.85,27.95]	2	cstar_tref ~ temp + aou	4172	2.2692566	18685.13294	1.005491	18.3679567	1982-1999 –> 2000-2009	4.8686389	2.5993823	32776.96078	2.020984	11	22
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	5181	0.8637095	13194.81348	538.093078	4.8550195	2000-2009 –> 2010-2019	1.8796222	1.0159127	25176.16676	1130.723709	1	2
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	5181	0.8696701	13266.07803	143.347564	4.3615665	2000-2009 –> 2010-2019	1.8861827	1.0165126	25252.35713	215.963634	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5181	0.8733613	13311.96421	658.376502	4.3443656	2000-2009 –> 2010-2019	1.8915835	1.0182223	25314.26515	1112.430563	3	6
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	5181	0.8733768	13310.14819	2.463585	4.3538576	2000-2009 –> 2010-2019	1.8934692	1.0200924	25325.76020	5.934724	4	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5181	0.8743448	13323.62702	690.433797	4.3493695	2000-2009 –> 2010-2019	1.8935092	1.0191644	25333.64483	1179.757479	5	9
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + phosphate + phosphate_star	5181	0.8743468	13321.65100	2.892737	4.3528619	2000-2009 –> 2010-2019	1.8954958	1.0211490	25345.90083	7.074155	6	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	5181	0.8840193	13435.65132	2.946466	5.3255887	2000-2009 –> 2010-2019	1.9091007	1.0250814	25491.97234	7.121312	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	5181	0.9880800	14588.78387	98.537827	9.0781800	2000-2009 –> 2010-2019	2.2884914	1.3004114	28630.21431	161.244497	8	16
Indo-Pacific	(27.85,27.95]	2	cstar_tref ~ temp + aou	5181	1.4923312	18859.35835	1.007558	14.2419633	2000-2009 –> 2010-2019	3.7615877	2.2692566	37544.49128	2.013049	9	19
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate	5181	1.5945501	19547.86344	651.339438	19.5259100	2000-2009 –> 2010-2019	4.0718508	2.4773007	38966.90908	1139.967907	10	21
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	7839	1.1283094	24150.77286	567.438674	8.5425699	1982-1999 –> 2000-2009	2.3065587	1.1782493	42401.73313	887.009067	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	7839	1.1472014	24411.10576	428.309234	8.6124280	1982-1999 –> 2000-2009	2.3396285	1.1924271	42799.88148	778.197442	4	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7839	1.1460845	24395.83493	396.967612	8.5366001	1982-1999 –> 2000-2009	2.3461019	1.2000174	42857.72113	701.809299	3	6
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	7839	1.1477921	24417.17653	14.705109	8.7070879	1982-1999 –> 2000-2009	2.4472734	1.2994813	43794.54906	25.864835	5	9
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	7839	1.1431708	24353.92546	108.698764	7.9561257	1982-1999 –> 2000-2009	2.5859437	1.4427729	44936.51892	192.749580	2	9
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	7839	1.1537990	24499.01263	10.565280	8.1003019	1982-1999 –> 2000-2009	2.5918042	1.4380052	45043.46844	18.855423	6	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	7839	1.1571641	24544.67194	14.670301	8.1422439	1982-1999 –> 2000-2009	2.5941169	1.4369527	45080.69160	26.759821	7	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate	7839	1.6158940	29779.80797	422.673254	7.4799872	1982-1999 –> 2000-2009	3.2484917	1.6325978	51786.58487	726.232538	10	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	7839	1.3402839	26847.91361	82.296574	7.5494646	1982-1999 –> 2000-2009	3.3955034	2.0552195	51507.17251	169.683933	8	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	7839	1.6997290	30572.80865	427.208898	7.9762972	1982-1999 –> 2000-2009	3.5044232	1.8046942	53734.30560	708.979676	14	23
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	9093	0.8201517	22211.15216	728.657515	7.6235523	2000-2009 –> 2010-2019	1.9484611	1.1283094	46361.92502	1296.096189	1	2
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	9093	0.8292897	22410.65658	138.139639	6.7807099	2000-2009 –> 2010-2019	1.9724605	1.1431708	46764.58204	246.838403	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	9093	0.8321233	22474.69005	555.664730	7.6305336	2000-2009 –> 2010-2019	1.9782078	1.1460845	46870.52499	952.632342	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	9093	0.8334416	22503.47835	598.358132	7.7647259	2000-2009 –> 2010-2019	1.9806429	1.1472014	46914.58411	1026.667365	4	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	9093	0.8349367	22534.07224	8.480218	8.0574047	2000-2009 –> 2010-2019	1.9827287	1.1477921	46951.24877	23.185328	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	9093	0.8370726	22580.53754	6.161954	6.9844123	2000-2009 –> 2010-2019	1.9908716	1.1537990	47079.55017	16.727234	6	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	9093	0.8399560	22643.07191	8.561290	7.0640171	2000-2009 –> 2010-2019	1.9971201	1.1571641	47187.74386	23.231592	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	9093	0.9643532	25154.70759	112.351327	7.0457662	2000-2009 –> 2010-2019	2.3046371	1.3402839	52002.62119	194.647901	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	9093	1.3091260	30713.39260	421.513414	7.6522117	2000-2009 –> 2010-2019	2.8840771	1.5749510	60090.83773	701.034163	10	19
Indo-Pacific	(27.95,28.05]	2	cstar_tref ~ temp + aou	9093	1.2421345	29756.10933	1.043734	10.6801857	2000-2009 –> 2010-2019	2.9734230	1.7312885	60615.34780	2.086087	9	26
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5262	1.0020636	14966.60452	773.528359	8.0222294	1982-1999 –> 2000-2009	1.9868581	0.9847945	25612.40085	1067.234251	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5262	1.0152154	15103.83046	606.088773	8.1589678	1982-1999 –> 2000-2009	2.0074600	0.9922445	25806.72427	856.587943	5	7
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5262	1.0111181	15061.26985	566.883964	7.9926087	1982-1999 –> 2000-2009	2.0094484	0.9983304	25810.48846	792.890442	3	6
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + phosphate_star	5262	1.0228696	15180.87765	18.934125	8.5686301	1982-1999 –> 2000-2009	2.1354595	1.1125900	26749.04403	39.455659	7	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	5262	1.0020706	14964.67752	98.790453	8.0080350	1982-1999 –> 2000-2009	2.2176435	1.2155729	27203.50834	202.265866	2	9
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	5262	1.0118637	15067.02781	14.244490	8.1572284	1982-1999 –> 2000-2009	2.2275014	1.2156377	27306.26233	30.106631	4	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + phosphate + phosphate_star	5262	1.0153007	15102.71452	18.462055	8.2087042	1982-1999 –> 2000-2009	2.2310892	1.2157885	27342.88872	40.532756	6	15
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	5262	1.1913529	16785.55123	560.674001	6.7689992	1982-1999 –> 2000-2009	2.2474314	1.0560785	27958.79534	796.207219	10	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	5262	1.2450469	17249.48789	575.514480	5.9949508	1982-1999 –> 2000-2009	2.3732472	1.1282003	28923.21142	808.604882	14	20
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	5262	1.1305092	16233.86899	305.295109	5.8287166	1982-1999 –> 2000-2009	2.3875603	1.2570510	28726.89774	504.590480	9	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	7396	0.7507446	16760.22409	748.960107	8.0951856	2000-2009 –> 2010-2019	1.7528083	1.0020636	31726.82861	1522.488466	1	2
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	7396	0.7509823	16762.90645	69.487557	7.9682458	2000-2009 –> 2010-2019	1.7530529	1.0020706	31727.58397	168.278009	2	4
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7396	0.7574118	16891.00791	589.021624	8.0612545	2000-2009 –> 2010-2019	1.7685298	1.0111181	31952.27776	1155.905587	3	6
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	7396	0.7574299	16889.36282	4.878232	8.0991197	2000-2009 –> 2010-2019	1.7692936	1.0118637	31956.39064	19.122722	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	7396	0.7600630	16942.69520	609.629812	8.2324014	2000-2009 –> 2010-2019	1.7752784	1.0152154	32046.52566	1215.718584	5	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + phosphate + phosphate_star	7396	0.7601446	16942.28375	8.174696	8.1575643	2000-2009 –> 2010-2019	1.7754454	1.0153007	32044.99826	26.636751	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + phosphate_star	7396	0.7666022	17067.41331	8.393308	8.8445107	2000-2009 –> 2010-2019	1.7894718	1.0228696	32248.29096	27.327433	7	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	7396	0.7934872	17577.28401	56.718989	6.0119211	2000-2009 –> 2010-2019	1.8367744	1.0432872	32966.16360	134.111537	8	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	7396	0.9374938	20044.18759	309.121110	5.6546029	2000-2009 –> 2010-2019	2.0680031	1.1305092	36278.05658	614.416219	9	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	7396	1.0276379	21402.21057	654.285354	9.6185151	2000-2009 –> 2010-2019	2.2189907	1.1913529	38187.76180	1214.959355	10	20
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7920	1.1196553	24278.23762	403.103729	5.6968794	1982-1999 –> 2000-2009	1.9508751	0.8312197	41816.60558	562.468987	1	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	7920	1.1378500	24533.57213	802.305927	5.9716165	1982-1999 –> 2000-2009	1.9681551	0.8303051	42056.30336	1273.931853	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	7920	1.1391976	24552.32075	433.685429	5.9868304	1982-1999 –> 2000-2009	1.9684103	0.8292127	42056.35587	612.787868	3	4
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ aou + nitrate + phosphate	7920	1.1394157	24553.35343	373.958521	5.9853157	1982-1999 –> 2000-2009	1.9703468	0.8309311	42084.78911	529.090079	4	7
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	7920	1.1539149	24753.64778	114.825355	6.4147241	1982-1999 –> 2000-2009	1.9851348	0.8312199	42290.01786	200.180783	6	11
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	7920	1.1463857	24651.95424	433.406522	5.9670054	1982-1999 –> 2000-2009	1.9853993	0.8390135	42322.86445	600.770760	5	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + aou + nitrate	7920	1.1816495	25129.86269	22.351111	6.8543461	1982-1999 –> 2000-2009	2.0149405	0.8332910	42701.57540	46.693080	8	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	7920	1.1581316	24811.42580	399.624717	5.7361064	1982-1999 –> 2000-2009	2.0260842	0.8679525	42961.92831	560.327224	7	21
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ aou + nitrate	7920	1.1969490	25331.63599	8.707429	6.7177965	1982-1999 –> 2000-2009	2.0366287	0.8396797	43009.81741	17.680057	9	17
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	7920	1.2043042	25430.67373	210.474857	6.9611717	1982-1999 –> 2000-2009	2.0566915	0.8523873	43324.17607	448.624195	10	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	9857	1.0133735	28246.85126	294.652202	11.0537678	2000-2009 –> 2010-2019	2.1330288	1.1196553	52525.08888	697.755931	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	9857	1.0203686	28382.46513	313.445278	11.4671837	2000-2009 –> 2010-2019	2.1595661	1.1391976	52934.78588	747.130707	2	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	9857	1.0235889	28444.58607	563.240381	11.5507508	2000-2009 –> 2010-2019	2.1614389	1.1378500	52978.15820	1365.546307	3	5
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ aou + nitrate + phosphate	9857	1.0306232	28577.60082	271.146964	11.6516505	2000-2009 –> 2010-2019	2.1700389	1.1394157	53130.95425	645.105485	6	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	9857	1.0257028	28485.25653	298.789738	11.4561788	2000-2009 –> 2010-2019	2.1720885	1.1463857	53137.21077	732.196260	4	9
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	9857	1.0268105	28504.53594	278.433268	11.2549916	2000-2009 –> 2010-2019	2.1849422	1.1581316	53315.96174	678.057985	5	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	9857	1.0360700	28681.51434	78.734671	12.3924437	2000-2009 –> 2010-2019	2.1899849	1.1539149	53435.16212	193.560025	8	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + aou + nitrate	9857	1.0316671	28597.55779	18.359526	12.4866227	2000-2009 –> 2010-2019	2.2133166	1.1816495	53727.42048	40.710637	7	15
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ aou + nitrate	9857	1.0360922	28679.93562	12.501588	12.3637035	2000-2009 –> 2010-2019	2.2330412	1.1969490	54011.57160	21.209017	9	18
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	9857	1.0556972	29051.48031	147.917002	12.7908063	2000-2009 –> 2010-2019	2.2600014	1.2043042	54482.15405	358.391859	11	21
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1127	0.4864885	1586.18566	390.301938	1.5074854	1982-1999 –> 2000-2009	0.7897780	0.3032895	2132.59680	1354.017423	3	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1127	0.4859614	1583.74230	388.524079	1.4962313	1982-1999 –> 2000-2009	0.7905355	0.3045741	2140.15369	1349.908329	1	3
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1127	0.4864229	1585.88185	393.971457	1.5008060	1982-1999 –> 2000-2009	0.7914692	0.3050463	2145.95813	1359.633660	2	5
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1127	0.4890027	1595.80451	387.109119	1.5637756	1982-1999 –> 2000-2009	0.7979661	0.3089634	2184.06926	1307.311760	5	10
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + nitrate + phosphate	1127	0.4982978	1638.24725	270.649155	1.4933819	1982-1999 –> 2000-2009	0.8051883	0.3068905	2210.58453	676.231441	6	10
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate	1127	0.4865468	1584.45587	372.080588	1.5203636	1982-1999 –> 2000-2009	0.8110782	0.3245314	2289.03199	1235.984848	4	10
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + phosphate	1127	0.5028062	1656.54881	70.417723	1.3404791	1982-1999 –> 2000-2009	0.8357094	0.3329032	2419.38555	117.534972	7	14
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate	1127	0.7866699	2667.44794	27.904885	3.8662669	1982-1999 –> 2000-2009	1.3121510	0.5254811	4512.27488	77.087958	8	20
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + phosphate + phosphate_star	1127	0.7896047	2675.84105	19.291094	3.8505764	1982-1999 –> 2000-2009	1.3131646	0.5235600	4512.00226	55.538339	9	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + phosphate + phosphate_star	1127	0.7897570	2676.27594	230.879601	3.9092261	1982-1999 –> 2000-2009	1.3136148	0.5238578	4513.78256	588.851461	10	20
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate	1619	0.3228429	943.67391	770.914363	1.3114655	2000-2009 –> 2010-2019	0.8093897	0.4865468	2528.12978	1142.994951	7	8
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + nitrate + phosphate	1619	0.3172157	886.73742	257.942704	1.4202336	2000-2009 –> 2010-2019	0.8155135	0.4982978	2524.98467	528.591859	1	3
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + phosphate	1619	0.3231806	945.06002	56.384963	1.3366991	2000-2009 –> 2010-2019	0.8259869	0.5028062	2601.60883	126.802686	8	11
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate	1619	0.3200020	915.05493	12.528353	1.6134117	2000-2009 –> 2010-2019	1.1066719	0.7866699	3582.50287	40.433238	5	9
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + phosphate + phosphate_star	1619	0.3199496	914.52498	5.468457	1.6181033	2000-2009 –> 2010-2019	1.1095543	0.7896047	3590.36603	24.759552	4	9
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + phosphate + phosphate_star	1619	0.3199394	914.42114	95.809189	1.6193352	2000-2009 –> 2010-2019	1.1096964	0.7897570	3590.69707	326.688790	3	9
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ phosphate + phosphate_star	1619	0.3215192	928.37091	1.055402	1.5483965	2000-2009 –> 2010-2019	1.1113053	0.7897861	3602.72973	2.604071	6	13
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate_star	1619	0.3198980	914.00213	8.096489	1.6234683	2000-2009 –> 2010-2019	1.1167752	0.7968772	3610.50832	35.097594	2	10
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate_star	1619	0.3257313	972.51506	94.393760	1.6991668	2000-2009 –> 2010-2019	1.1492190	0.8234877	3743.06072	296.960711	9	19
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ aou + phosphate_star	1619	0.3458557	1164.62958	1.650196	1.9545912	2000-2009 –> 2010-2019	1.1717144	0.8258587	3939.65560	6.438728	13	24
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + nitrate	56	0.0013694	-569.53494	36.351364	0.0033795	1982-1999 –> 2000-2009	0.6501038	0.6487343	-269.59022	559.681207	7	8
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ aou + nitrate	56	0.0105251	-343.12604	1.389320	0.0306199	1982-1999 –> 2000-2009	0.7281434	0.7176183	-15.51243	197.396492	10	12
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + nitrate + phosphate_star	56	0.0008934	-617.37129	41.515703	0.0019575	1982-1999 –> 2000-2009	0.7829323	0.7820389	-262.48349	727.882269	4	7
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ nitrate + phosphate_star	56	0.0008941	-619.28297	34.972526	0.0019446	1982-1999 –> 2000-2009	0.8270189	0.8261248	-250.27180	94.089574	5	9
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	56	0.0008742	-619.80499	25.204242	0.0025419	1982-1999 –> 2000-2009	0.8281215	0.8272472	-248.39465	497.445422	3	8
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + phosphate + phosphate_star	56	0.0008521	-622.66736	59.917443	0.0024386	1982-1999 –> 2000-2009	0.8283820	0.8275299	-251.15660	640.164563	2	8
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + phosphate	56	0.0008477	-623.25869	33.821684	0.0024145	1982-1999 –> 2000-2009	0.8303486	0.8295010	-251.04846	673.937933	1	8
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ temp + phosphate_star	56	0.0240529	-250.55891	1.084057	0.0704139	1982-1999 –> 2000-2009	0.8575472	0.8334943	121.06326	224.714268	13	21
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ temp + nitrate	56	0.0115724	-332.50184	1.129777	0.0351838	1982-1999 –> 2000-2009	0.9186997	0.9071273	64.00918	141.355341	11	20
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ aou + phosphate	56	0.0051500	-423.18032	1.355518	0.0152980	1982-1999 –> 2000-2009	0.9289667	0.9238167	-21.30942	245.782278	8	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	11.1419022	2612.7980
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	10.4908309	2739.3585
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	9.5436665	7583.1006
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	10.3690059	8482.5204
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	7.8828424	7362.6538
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	8.2923501	7224.7125
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	7.5820535	10849.6732
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	8.1183156	10610.9141
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	6.7596879	15074.7933
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	7.4096642	12684.2998
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	6.1106370	18017.1791
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.6135316	17964.4207
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	6.4226582	23771.2404
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	7.8880360	25830.8440
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	6.1184797	13312.1392
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	7.2610814	15997.5476
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	9.6048651	45490.5882
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	10.6793156	53873.1384
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	4.7362868	28672.9315
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	5.6536516	31058.9295
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	4.0431562	13359.6139
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	4.3553261	15057.7058
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.7854884	9307.8340
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	3.1678986	13535.9453
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.2355692	2600.5076
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.4412611	3863.7399
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.0041366	2388.5842
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	0.9129455	1957.4922
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	23.7675471	45164.9840
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	24.0297934	68216.3414
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	20.5132613	40030.9806
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	24.0834668	46626.0219
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	17.8630807	34993.5492
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	20.8744183	39031.3334
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	12.0678336	39172.5085
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	13.8243877	46692.4987
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.3350979	45999.1105
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	9.7325138	53984.1025
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	7.3575990	56032.2315
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.6849759	64628.5307
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	4.4791029	50411.0156
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	4.5570759	60752.0787
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	2.4561910	17578.8300
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	2.3644715	21817.0921
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.6098863	23264.7614
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	2.3370893	28238.1682
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.7359846	46394.2627
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	2.2012630	50083.8966
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.1823699	27144.0221
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	1.8507648	33113.4878
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	1.9962666	42462.4433
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.1877448	53367.8468
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	0.9560655	2905.9840
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.0325826	3331.4244
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	0.8180264	-138.4695

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
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
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8b75a03	Donghe-Zhu	2021-07-15
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697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
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20b3436	Donghe-Zhu	2021-07-05
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bd2bcc3	Donghe-Zhu	2021-06-08
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325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
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812bf63	Donghe-Zhu	2021-06-06
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9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
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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
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1914a11	Donghe-Zhu	2021-03-24
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134ace1	Donghe-Zhu	2021-03-22
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183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
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1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
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b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
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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
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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
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	nitrate	phosphate	phosphate_star	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	6	10	7	5	5
(26,26.5]	6	9	7	5	5
(26.5,26.75]	6	8	6	5	6
(26.75,27]	5	7	6	5	6
(27,27.25]	6	9	6	5	7
(27.25,27.5]	7	6	6	7	8
(27.5,27.75]	5	9	5	6	8
(27.75,27.85]	5	10	6	7	5
(27.85,27.95]	6	10	6	6	6
(27.95,28.05]	4	10	6	6	5
(28.05,28.1]	6	10	6	4	5
(28.1,28.15]	6	10	5	5	6
(28.15,28.2]	6	6	3	6	6
(28.2, Inf]	7	6	7	6	8
total	81.00	120.00	82.00	78.00	86.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	6	10	7	5	5
(26,26.5]	6	9	7	5	5
(26.5,26.75]	6	8	6	5	6
(26.75,27]	5	7	6	5	6
(27,27.25]	5	10	6	5	6
(27.25,27.5]	6	6	7	7	8
(27.5,27.75]	6	10	6	6	6
(27.75,27.85]	5	10	6	7	5
(27.85,27.95]	5	10	6	7	5
(27.95,28.05]	5	10	6	7	5
(28.05,28.1]	6	10	6	4	5
(28.1,28.15]	5	10	6	5	6
(28.15,28.2]	6	6	3	6	6
(28.2, Inf]	7	6	7	6	8
total	79.00	122.00	85.00	80.00	82.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	6	6	7	7
(26,26.5]	8	5	8	6	6
(26.5,26.75]	5	8	5	8	6
(26.75,27]	7	6	6	5	9
(27,27.25]	7	8	7	7	5
(27.25,27.5]	6	5	6	7	8
(27.5,27.75]	6	6	7	7	8
(27.75,27.85]	7	6	6	7	8
(27.85,27.95]	7	5	5	6	9
(27.95,28.05]	6	7	6	6	8
(28.05,28.1]	6	7	6	7	7
(28.1,28.2]	8	9	6	6	4
(28.2,28.3]	5	7	10	5	5
(28.3, Inf]	5	5	3	5	7
total	91.00	90.00	87.00	89.00	97.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	6	6	7	7
(26,26.5]	8	5	8	6	6
(26.5,26.75]	5	10	5	6	7
(26.75,27]	8	5	6	6	8
(27,27.25]	6	8	7	7	6
(27.25,27.5]	6	6	7	6	8
(27.5,27.75]	7	5	5	6	9
(27.75,27.85]	7	6	6	7	8
(27.85,27.95]	6	5	5	6	9
(27.95,28.05]	7	6	4	6	9
(28.05,28.1]	7	7	5	6	8
(28.1,28.2]	8	9	6	6	4
(28.2,28.3]	6	4	7	6	4
total	89.00	82.00	77.00	81.00	93.00

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
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

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

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

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

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

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

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