eMLR - model fitting

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Last updated: 2021-07-16

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)

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

Session information: recorded

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Cache: none

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File paths: relative

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Repository version: 35e2f22

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The results in this page were generated with repository version 35e2f22. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.

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

Ignored files:
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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
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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	90a9da5	Donghe-Zhu	2021-06-25	Build site.
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Rmd	8e8abf5	Jens Müller	2020-12-18	Initial commit

---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

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

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 112

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	139	1.9027865	587.3077	336.358743	5.398369	1982-1999 –> 2000-2009	3.1934744	1.2906879	976.3092	373.81607	1	14
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	139	2.2397412	632.6331	397.725036	6.495031	1982-1999 –> 2000-2009	3.4441277	1.2043865	1006.1327	410.52793	5	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	139	2.2404932	632.7264	231.936656	6.118878	1982-1999 –> 2000-2009	3.4601712	1.2196780	1009.0521	253.49752	6	13
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	139	2.2435064	633.1000	213.252928	6.413670	1982-1999 –> 2000-2009	3.5598168	1.3163104	1026.5048	297.63596	7	22
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	139	2.3509235	646.1016	330.827312	6.844416	1982-1999 –> 2000-2009	3.5632392	1.2123156	1021.0711	344.81370	16	21
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	139	2.4376271	656.1699	322.994861	5.832626	1982-1999 –> 2000-2009	3.6387531	1.2011260	1029.0622	338.11618	23	24
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	139	2.3554754	646.6394	146.370717	8.432428	1982-1999 –> 2000-2009	3.6413226	1.2858471	1034.7992	320.21383	18	28
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	139	2.3994062	649.7764	65.244884	7.916306	1982-1999 –> 2000-2009	3.6854535	1.2860473	1035.9711	69.24892	21	32
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	139	2.4344548	655.8079	253.369324	5.672479	1982-1999 –> 2000-2009	3.7221652	1.2877104	1044.2920	324.64021	22	34
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate	139	2.2502880	631.9391	50.052138	6.314484	1982-1999 –> 2000-2009	3.8395293	1.5892412	1065.5508	56.00496	11	32
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	95	2.8932505	485.4506	65.004209	7.438532	2000-2009 –> 2010-2019	4.7960370	1.9027865	1072.7583	401.36295	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	95	3.1299433	500.3911	119.150636	7.878062	2000-2009 –> 2010-2019	5.5643980	2.4344548	1156.1990	372.51996	2	24
Atlantic	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	95	3.7192311	533.1665	101.737443	10.768434	2000-2009 –> 2010-2019	5.7015982	1.9823672	1131.8645	177.49142	6	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	95	3.6194428	527.9991	48.470167	9.185810	2000-2009 –> 2010-2019	5.8599360	2.2404932	1160.7255	280.40682	4	10
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	95	3.7724228	535.8646	489.549767	10.997088	2000-2009 –> 2010-2019	5.9412712	2.1688484	1159.5561	1299.31018	8	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	95	3.7057792	532.4781	108.660366	10.106730	2000-2009 –> 2010-2019	5.9492857	2.2435064	1165.5781	321.91329	5	12
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	95	3.7587950	535.1770	87.587795	10.875884	2000-2009 –> 2010-2019	6.0028468	2.2440518	1168.3446	191.01906	7	15
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	95	3.7877043	534.6327	4.662170	10.976361	2000-2009 –> 2010-2019	6.0331889	2.2454846	1165.9778	10.26320	10	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	95	3.7773887	536.1146	118.986919	10.169690	2000-2009 –> 2010-2019	6.0650962	2.2877075	1174.6385	455.72425	9	23
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	95	3.9008308	542.2243	266.544853	10.182654	2000-2009 –> 2010-2019	6.1405720	2.2397412	1174.8574	664.26989	13	18
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	423	4.1607992	2420.5703	42.118404	14.006947	1982-1999 –> 2000-2009	7.9047353	3.7439361	6329.5364	85.95008	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	423	4.3074943	2449.8835	188.563704	10.976925	1982-1999 –> 2000-2009	8.0944566	3.7869623	6375.0984	503.54284	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	423	4.4378710	2475.1098	16.613579	11.222941	1982-1999 –> 2000-2009	8.2646095	3.8267385	6415.1828	32.86098	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	423	4.4675070	2480.7406	19.074016	11.322568	1982-1999 –> 2000-2009	8.2980238	3.8305168	6422.2169	29.49252	4	8
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	423	4.5033730	2487.5054	19.462795	11.407164	1982-1999 –> 2000-2009	8.3415594	3.8381865	6431.8259	30.93067	5	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	423	4.7023588	2524.0844	188.505437	11.052019	1982-1999 –> 2000-2009	8.7540248	4.0516660	6545.3752	498.79797	14	21
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	423	4.8500159	2550.2408	16.780314	11.189397	1982-1999 –> 2000-2009	8.9282898	4.0782739	6580.8395	29.93331	16	24
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	423	4.8968699	2558.3744	19.073079	11.295154	1982-1999 –> 2000-2009	8.9794603	4.0825904	6590.4775	29.35233	17	26
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	423	4.8997458	2558.8711	18.834062	11.315936	1982-1999 –> 2000-2009	8.9831249	4.0833790	6591.2488	29.22159	18	28
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	423	4.9159544	2561.6651	19.071052	11.543824	1982-1999 –> 2000-2009	9.0367630	4.1208086	6607.0179	29.35700	19	30
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	434	3.2252092	2262.0648	68.419565	11.344171	2000-2009 –> 2010-2019	7.3860084	4.1607992	4682.6350	110.53797	4	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	434	3.1944277	2253.7407	276.080990	11.195246	2000-2009 –> 2010-2019	7.5019219	4.3074943	4703.6242	464.64469	1	3
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	434	3.2231408	2261.5079	12.786731	11.298903	2000-2009 –> 2010-2019	7.6610118	4.4378710	4736.6177	29.40031	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	434	3.2227220	2261.3951	9.022395	11.309009	2000-2009 –> 2010-2019	7.6902290	4.4675070	4742.1358	28.09641	2	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	434	3.2283352	2262.9056	9.855493	11.307488	2000-2009 –> 2010-2019	7.7317082	4.5033730	4750.4110	29.31829	6	11
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	434	3.2499159	2268.6887	275.630391	12.451469	2000-2009 –> 2010-2019	7.9522747	4.7023588	4792.7731	464.13583	7	21
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	434	3.2774890	2276.0220	14.204838	12.519469	2000-2009 –> 2010-2019	8.1275049	4.8500159	4826.2628	30.98515	8	24
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	434	3.2789796	2276.4167	9.030585	12.528455	2000-2009 –> 2010-2019	8.1758495	4.8968699	4834.7911	28.10366	9	26
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	434	3.2802794	2276.7607	8.327810	12.519088	2000-2009 –> 2010-2019	8.1800252	4.8997458	4835.6318	27.16187	10	28
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	434	3.3101226	2284.6218	9.217748	12.563715	2000-2009 –> 2010-2019	8.2260770	4.9159544	4846.2869	28.28880	11	30
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	780	2.9733214	3927.4444	104.172609	9.896869	1982-1999 –> 2000-2009	6.1900122	3.2166908	9633.4860	124.48767	1	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	780	3.0061970	3944.5984	82.724274	10.039242	1982-1999 –> 2000-2009	6.2096113	3.2034143	9641.5410	102.55812	3	6
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	780	3.0749228	3979.8606	92.948565	10.073526	1982-1999 –> 2000-2009	6.2491954	3.1742727	9656.6981	115.28285	11	13
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	780	3.0065951	3944.8050	56.823721	11.973606	1982-1999 –> 2000-2009	6.2585336	3.2519385	9674.8225	102.74796	4	10
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	780	3.0392215	3961.6423	57.603468	12.220255	1982-1999 –> 2000-2009	6.3202115	3.2809899	9711.2265	103.82594	7	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	780	3.0291575	3956.4680	96.828310	11.492626	1982-1999 –> 2000-2009	6.3360819	3.3069244	9723.3736	120.44529	5	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	780	3.0596186	3972.0769	56.598539	12.252291	1982-1999 –> 2000-2009	6.3492593	3.2896407	9727.4541	102.99308	8	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	780	2.9934193	3937.9536	59.724230	9.463330	1982-1999 –> 2000-2009	6.3943625	3.4009432	9766.5345	109.77265	2	20
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	780	3.0714665	3976.1061	14.650408	12.346656	1982-1999 –> 2000-2009	6.4175192	3.3460526	9766.8898	35.92277	9	22
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	780	3.1633229	4022.0760	14.522086	11.201747	1982-1999 –> 2000-2009	6.4446471	3.2813242	9769.8843	34.26516	15	23
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	701	4.2120521	4019.3577	102.994513	12.476547	2000-2009 –> 2010-2019	7.1853735	2.9733214	7946.8020	207.16712	4	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	701	4.1968092	4014.2748	97.550836	12.220974	2000-2009 –> 2010-2019	7.2030062	3.0061970	7958.8732	180.27511	3	6
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	701	4.2422020	4029.3574	30.084243	12.414142	2000-2009 –> 2010-2019	7.2356213	2.9934193	7967.3110	89.80847	11	13
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	701	4.1839508	4009.9727	100.441017	12.025487	2000-2009 –> 2010-2019	7.2588736	3.0749228	7989.8333	193.38958	2	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	701	4.2430648	4027.6426	26.565111	12.396746	2000-2009 –> 2010-2019	7.2753007	3.0322359	7983.6951	57.80345	12	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	701	4.2675296	4037.7030	994.637393	12.775561	2000-2009 –> 2010-2019	7.2874686	3.0199391	7989.4163	1346.88720	13	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	701	4.2282631	4024.7432	30.120338	12.059674	2000-2009 –> 2010-2019	7.3012295	3.0729665	8003.6110	88.20787	7	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	701	4.3013137	4048.7583	29.234485	13.612137	2000-2009 –> 2010-2019	7.3079088	3.0065951	7993.5633	86.05821	15	19
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	701	4.2301510	4023.3691	18.412598	12.036922	2000-2009 –> 2010-2019	7.3633373	3.1331864	8030.5119	43.53492	9	22
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	701	4.3317513	4058.6445	29.473908	14.023430	2000-2009 –> 2010-2019	7.3709729	3.0392215	8020.2868	87.07738	17	25
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1315	2.1900406	5807.5181	47.215442	13.105713	1982-1999 –> 2000-2009	3.8535913	1.6635507	13321.0213	83.96104	1	3
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1315	2.2340379	5859.8304	200.702908	10.314694	1982-1999 –> 2000-2009	3.9177961	1.6837582	13420.3014	251.05918	5	9
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1315	2.2204700	5843.8091	47.079456	13.370240	1982-1999 –> 2000-2009	3.9350584	1.7145884	13474.8631	83.87946	4	9
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1315	2.2120111	5833.7709	191.152917	10.245124	1982-1999 –> 2000-2009	3.9451904	1.7331792	13506.7762	241.39190	2	8
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1315	2.2454371	5873.2158	47.073947	13.440275	1982-1999 –> 2000-2009	3.9803073	1.7348702	13550.0146	83.87458	6	13
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1315	2.2186581	5841.6620	211.848896	10.168117	1982-1999 –> 2000-2009	3.9803314	1.7616733	13578.1003	262.38506	3	11
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1315	2.4656243	6119.2388	242.009915	22.634667	1982-1999 –> 2000-2009	4.0648283	1.5992040	13479.2880	434.12476	13	14
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	1315	2.3307769	5969.3186	26.485079	15.095064	1982-1999 –> 2000-2009	4.1065978	1.7758209	13734.8719	58.50464	8	17
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1315	2.3364415	5975.7027	4.377563	15.183298	1982-1999 –> 2000-2009	4.1660192	1.8295777	13857.2650	10.37598	10	20
Atlantic	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1315	2.3512221	5992.2881	4.420756	15.192141	1982-1999 –> 2000-2009	4.2022747	1.8510526	13919.2438	10.46869	11	22
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1421	2.3357797	6457.6220	108.087407	9.873060	2000-2009 –> 2010-2019	4.5477908	2.2120111	12291.3929	299.24032	3	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1421	2.3176804	6435.5143	109.373439	9.713191	2000-2009 –> 2010-2019	4.5517183	2.2340379	12295.3448	310.07635	2	7
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1421	2.3710808	6500.2523	111.531915	10.043112	2000-2009 –> 2010-2019	4.5897389	2.2186581	12341.9144	323.38081	4	7
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1421	2.2724006	6379.4415	203.401740	10.021866	2000-2009 –> 2010-2019	4.7380249	2.4656243	12498.6803	445.41166	1	14
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1421	2.6816259	6850.0383	31.520999	15.727664	2000-2009 –> 2010-2019	4.8716665	2.1900406	12657.5564	78.73644	6	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1421	2.5651127	6723.7942	118.515118	8.843443	2000-2009 –> 2010-2019	4.8909922	2.3258795	12689.5809	345.72447	5	12
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1421	2.7163065	6886.5574	31.587070	15.847376	2000-2009 –> 2010-2019	4.9367766	2.2204700	12730.3664	78.66653	7	11
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1421	2.7293333	6900.1543	31.603025	15.873017	2000-2009 –> 2010-2019	4.9747704	2.2454371	12773.3702	78.67697	9	15
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	1421	2.7704831	6940.6830	18.837049	15.377760	2000-2009 –> 2010-2019	5.1020780	2.3315950	12910.9246	45.52770	11	20
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	1421	2.8276736	6998.7525	18.328951	16.290196	2000-2009 –> 2010-2019	5.1584505	2.3307769	12968.0711	44.81403	12	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1983	2.1635042	8702.1883	245.010156	8.910443	1982-1999 –> 2000-2009	3.7920616	1.6285574	18584.9215	363.21136	2	7
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1983	2.1228726	8626.9967	189.080212	12.468805	1982-1999 –> 2000-2009	3.8281676	1.7052950	18748.0510	286.52111	1	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1983	2.3925939	9101.3618	68.826566	13.308974	1982-1999 –> 2000-2009	3.8516145	1.4590205	18415.1011	99.11869	9	10
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1983	2.3910019	9098.7219	68.699518	13.288703	1982-1999 –> 2000-2009	3.8561246	1.4651227	18434.0640	99.00593	8	10
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1983	2.4587393	9209.5171	73.111081	13.493600	1982-1999 –> 2000-2009	4.0064383	1.5476991	18828.6611	174.43803	12	15
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1983	2.4355164	9171.8801	516.675081	13.806537	1982-1999 –> 2000-2009	4.0529343	1.6174179	19019.0870	1082.25941	11	15
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1983	2.3322368	9000.0293	183.555851	12.555312	1982-1999 –> 2000-2009	4.0956576	1.7634208	19294.5700	279.01523	5	13
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1983	2.4632836	9214.8404	72.351242	13.201659	1982-1999 –> 2000-2009	4.1065311	1.6432475	19142.0533	169.50124	13	19
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1983	2.3629492	9051.9152	189.459657	13.004555	1982-1999 –> 2000-2009	4.2653949	1.9024458	19739.2353	290.01276	6	16
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1983	2.5534722	9359.4531	69.657647	14.316363	1982-1999 –> 2000-2009	4.3974181	1.8439459	19885.1137	100.14161	14	23
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1930	2.1403996	8428.5339	290.412019	11.509483	2000-2009 –> 2010-2019	4.3039038	2.1635042	17130.7222	535.42218	1	3
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1930	2.2141728	8559.3353	240.639088	8.075055	2000-2009 –> 2010-2019	4.3370454	2.1228726	17186.3320	429.71930	2	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1930	2.2336267	8593.1013	310.127673	12.434926	2000-2009 –> 2010-2019	4.4916965	2.2580699	17464.9598	581.55453	3	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1930	2.2900392	8689.3789	128.528866	8.340509	2000-2009 –> 2010-2019	4.5616099	2.2715707	17584.8791	236.24781	4	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1930	2.3260377	8749.5845	59.656733	15.967554	2000-2009 –> 2010-2019	4.7186316	2.3925939	17850.9463	128.48330	5	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1930	2.3290450	8754.5719	59.730959	15.972297	2000-2009 –> 2010-2019	4.7200469	2.3910019	17853.2938	128.43048	6	14
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1930	2.3889954	8852.6723	212.748359	7.993341	2000-2009 –> 2010-2019	4.7212322	2.3322368	17852.7016	396.30421	10	15
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1930	2.3999168	8870.2783	228.196471	8.137567	2000-2009 –> 2010-2019	4.7628660	2.3629492	17922.1935	417.65613	11	17
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1930	2.3305870	8757.1266	562.026579	15.950517	2000-2009 –> 2010-2019	4.7661034	2.4355164	17929.0067	1078.70166	7	18
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1930	2.4015552	8870.9126	127.240197	8.164388	2000-2009 –> 2010-2019	4.7736752	2.3721200	17936.1905	228.18753	12	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3406	3.0019217	17167.9183	274.198886	12.519342	1982-1999 –> 2000-2009	4.9858096	1.9838879	35028.0211	690.18482	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3406	3.3317864	17878.1100	189.993031	9.171623	1982-1999 –> 2000-2009	5.4460819	2.1142955	36278.2038	449.65999	5	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3406	3.3108723	17835.2154	277.073298	9.703902	1982-1999 –> 2000-2009	5.5328170	2.2219447	36656.5350	714.34589	3	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3406	3.3290418	17872.4961	289.804951	14.396401	1982-1999 –> 2000-2009	5.5379287	2.2088869	36643.8221	817.81399	4	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3406	3.3038444	17820.7403	50.524528	9.301847	1982-1999 –> 2000-2009	5.6650374	2.3611930	37157.6315	124.82028	2	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3406	3.3996130	18013.3921	253.475451	15.432617	1982-1999 –> 2000-2009	5.6767891	2.2771761	37040.9728	653.84133	7	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3406	3.3345040	17881.6639	47.191564	9.135842	1982-1999 –> 2000-2009	5.7123507	2.3778468	37276.1696	121.36955	6	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3406	3.5228497	18257.9582	207.403914	11.214774	1982-1999 –> 2000-2009	5.7853686	2.2625189	37232.7675	541.85734	8	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3406	3.6378382	18474.7552	185.979128	12.048344	1982-1999 –> 2000-2009	5.9914528	2.3536146	37782.3791	444.72232	12	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3406	3.6751065	18546.1866	271.825264	11.616677	1982-1999 –> 2000-2009	6.0943126	2.4192061	38088.9565	741.12335	13	27
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2964	3.3878258	15658.7442	409.871249	10.282605	2000-2009 –> 2010-2019	6.3897475	3.0019217	32826.6625	684.07013	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2964	3.4580300	15780.3316	41.655615	10.970965	2000-2009 –> 2010-2019	6.7618744	3.3038444	33601.0719	92.18014	2	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2964	3.5283535	15899.6758	372.148709	11.172893	2000-2009 –> 2010-2019	6.8392258	3.3108723	33734.8912	649.22201	3	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2964	3.5541917	15942.9284	265.914461	11.286379	2000-2009 –> 2010-2019	6.8859781	3.3317864	33821.0384	455.90749	4	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2964	3.5600333	15950.6636	40.341707	11.219288	2000-2009 –> 2010-2019	6.8945373	3.3345040	33832.3275	87.53327	5	11
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2964	3.7624339	16280.4593	516.437781	13.889635	2000-2009 –> 2010-2019	7.0914757	3.3290418	34152.9554	806.24273	11	15
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2964	3.5720517	15972.6424	538.571860	14.755439	2000-2009 –> 2010-2019	7.1160407	3.5439889	34271.3545	883.78371	6	16
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2964	3.5971946	16014.2221	337.039997	12.524551	2000-2009 –> 2010-2019	7.1227473	3.5255527	34277.4049	507.92619	7	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2964	3.5973623	16012.4985	40.337899	12.742518	2000-2009 –> 2010-2019	7.1415242	3.5441619	34309.5431	87.56233	8	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2964	3.7860709	16317.5846	354.086158	14.231886	2000-2009 –> 2010-2019	7.3089206	3.5228497	34575.5428	561.49007	12	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6996	2.2514275	31223.1980	20.979333	15.485039	1982-1999 –> 2000-2009	3.8223257	1.5708981	67040.2151	42.52348	1	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6996	2.2553187	31247.3600	20.492226	15.328492	1982-1999 –> 2000-2009	3.8261870	1.5708682	67064.0128	42.10734	2	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6996	2.2666487	31317.4750	20.545752	15.113299	1982-1999 –> 2000-2009	3.8373736	1.5707249	67132.3816	41.56008	3	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6996	2.2830171	31418.1538	513.474446	16.795730	1982-1999 –> 2000-2009	3.9068686	1.6238515	67869.7251	1446.34797	4	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6996	2.3255118	31674.1985	18.907081	14.418198	1982-1999 –> 2000-2009	3.9799043	1.6543925	68480.4061	34.48116	5	12
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6996	2.3302325	31704.5727	31.815076	14.061885	1982-1999 –> 2000-2009	3.9806731	1.6504407	68467.0062	84.17891	7	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6996	2.3297813	31699.8634	19.148741	14.187725	1982-1999 –> 2000-2009	3.9844954	1.6547141	68509.7911	35.29110	6	14
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	6996	2.4291747	32284.4098	20.472858	17.974911	1982-1999 –> 2000-2009	4.0001074	1.5709326	68099.8469	38.59944	14	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	6996	2.3572005	31863.5736	19.438041	13.775108	1982-1999 –> 2000-2009	4.0157408	1.6585403	68717.7085	35.35116	10	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6996	2.3418165	31773.9571	461.146583	14.218115	1982-1999 –> 2000-2009	4.1022637	1.7604473	69771.4104	1156.10861	8	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5739	2.2321004	25516.7568	980.210643	26.189415	2000-2009 –> 2010-2019	4.5133321	2.2812317	56923.9641	1854.87942	1	6
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5739	2.2923198	25822.3157	807.292673	26.132919	2000-2009 –> 2010-2019	4.5980275	2.3057077	57378.8480	1550.80165	2	9
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5739	2.3497335	26106.2539	940.169758	27.355190	2000-2009 –> 2010-2019	4.6272315	2.2774980	57490.5416	1796.05929	4	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5739	2.3258270	25986.8772	750.377556	25.840892	2000-2009 –> 2010-2019	4.6342383	2.3084113	57557.8063	1447.78618	3	11
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5739	2.3907622	26304.9415	18.489587	24.048495	2000-2009 –> 2010-2019	4.6421897	2.2514275	57528.1395	39.46892	5	6
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5739	2.3922888	26312.2682	18.752101	23.881305	2000-2009 –> 2010-2019	4.6476075	2.2553187	57559.6282	39.24433	6	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5739	2.4183857	26436.8013	18.629596	23.862281	2000-2009 –> 2010-2019	4.6850344	2.2666487	57754.2763	39.17535	7	10
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5739	2.4685007	26672.2229	577.193995	27.367442	2000-2009 –> 2010-2019	4.7515177	2.2830171	58090.3767	1090.66844	12	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5739	2.4381469	26530.2095	27.328503	21.822434	2000-2009 –> 2010-2019	4.7683794	2.3302325	58234.7821	59.14358	9	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5739	2.4335567	26508.5799	577.945082	21.982022	2000-2009 –> 2010-2019	4.7753732	2.3418165	58282.5370	1039.09166	8	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2607	1.1529054	8154.2207	28.502648	13.419580	1982-1999 –> 2000-2009	1.8800674	0.7271619	15784.7218	75.43283	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2607	1.1960959	8345.9793	26.756835	13.485433	1982-1999 –> 2000-2009	1.9626238	0.7665279	16341.4213	59.31394	5	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2607	1.1963750	8347.1955	26.035146	13.541063	1982-1999 –> 2000-2009	1.9641059	0.7677309	16353.4926	58.06161	6	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2607	1.1994767	8360.6961	23.517929	13.499773	1982-1999 –> 2000-2009	1.9667453	0.7672686	16362.8238	50.02938	7	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	2607	1.1690813	8224.8672	27.315827	13.315972	1982-1999 –> 2000-2009	1.9991419	0.8300607	16769.4924	70.93220	2	8
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2607	1.1867860	8305.2367	24.981820	14.231969	1982-1999 –> 2000-2009	2.0279382	0.8411523	16943.7438	66.59789	3	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2607	1.1868590	8303.5574	24.274564	14.223874	1982-1999 –> 2000-2009	2.0524172	0.8655582	17138.0470	63.79054	4	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2607	1.2830644	8709.9415	21.310671	13.998467	1982-1999 –> 2000-2009	2.0642007	0.7811363	16834.0612	47.74244	8	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2607	1.4766670	9442.6978	21.904268	12.295013	1982-1999 –> 2000-2009	2.3868726	0.9102055	18625.3350	41.38438	12	21
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2607	1.5389312	9658.0392	25.033994	12.311140	1982-1999 –> 2000-2009	2.5030293	0.9640981	19238.8477	46.86992	14	24
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2181	1.2548516	7193.6596	26.711129	5.376610	2000-2009 –> 2010-2019	2.4077571	1.1529054	15347.8803	55.21378	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	2181	1.3310711	7448.8718	18.867078	5.688339	2000-2009 –> 2010-2019	2.5001524	1.1690813	15673.7391	46.18290	5	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2181	1.3045303	7363.0171	30.967237	5.512252	2000-2009 –> 2010-2019	2.5006262	1.1960959	15708.9964	57.72407	2	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2181	1.3075924	7373.2442	29.560934	5.513765	2000-2009 –> 2010-2019	2.5070692	1.1994767	15733.9403	53.07886	3	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2181	1.3116028	7386.6021	31.057823	5.532040	2000-2009 –> 2010-2019	2.5079778	1.1963750	15733.7976	57.09297	4	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2181	1.4016799	7676.3326	26.416701	6.047831	2000-2009 –> 2010-2019	2.5884658	1.1867860	15981.5693	51.39852	7	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2181	1.4454523	7808.4678	16.469299	5.655521	2000-2009 –> 2010-2019	2.6323112	1.1868590	16112.0251	40.74386	8	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2181	1.3581190	7536.6208	28.372935	5.622233	2000-2009 –> 2010-2019	2.6411833	1.2830644	16246.5623	49.68361	6	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2181	1.6331022	8340.8899	17.861295	7.308196	2000-2009 –> 2010-2019	3.0420252	1.4089230	17538.7278	38.14986	9	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2181	1.6412352	8362.5589	16.954141	7.318563	2000-2009 –> 2010-2019	3.0425784	1.4013432	17532.2707	36.03096	10	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2606	2.1564785	11414.8075	26.096393	25.539208	1982-1999 –> 2000-2009	2.7637303	0.6072518	17981.9503	71.08614	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2606	2.1835488	11479.8265	58.160765	25.659873	1982-1999 –> 2000-2009	2.8354806	0.6519318	18552.6061	107.60174	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2606	2.1868715	11487.7516	22.919384	25.683927	1982-1999 –> 2000-2009	2.8394072	0.6525357	18567.1254	48.18121	3	6
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2606	2.1965100	11510.6726	55.636569	25.759870	1982-1999 –> 2000-2009	2.8499560	0.6534460	18599.9747	104.40205	4	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2606	2.2252125	11576.3385	22.599585	25.916498	1982-1999 –> 2000-2009	2.8809364	0.6557239	18688.4242	46.82001	6	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	2606	2.2473773	11627.9970	19.971376	25.334290	1982-1999 –> 2000-2009	3.0095127	0.7621354	19811.1211	34.18650	7	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	2606	2.2112417	11543.5123	23.390414	25.066786	1982-1999 –> 2000-2009	3.0203316	0.8090899	20152.4307	62.68633	5	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2606	2.3312078	11820.8742	22.066931	26.243495	1982-1999 –> 2000-2009	3.1086372	0.7774293	20147.5017	60.94696	11	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2606	2.2916076	11729.5774	57.902926	25.434614	1982-1999 –> 2000-2009	3.1227395	0.8311319	20529.9239	96.87047	8	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2606	2.3016978	11752.4759	22.340928	25.469163	1982-1999 –> 2000-2009	3.1353839	0.8336862	20574.6767	38.08454	10	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2157	1.1345550	6679.9024	23.161223	8.955491	2000-2009 –> 2010-2019	3.2910335	2.1564785	18094.7099	49.25762	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2157	1.1774300	6839.9240	57.074700	9.113917	2000-2009 –> 2010-2019	3.3609787	2.1835488	18319.7505	115.23546	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2157	1.1800296	6849.4384	25.999039	9.112031	2000-2009 –> 2010-2019	3.3669011	2.1868715	18337.1900	48.91842	3	6
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2157	1.1857887	6870.4413	53.655903	9.127151	2000-2009 –> 2010-2019	3.3822986	2.1965100	18381.1140	109.29247	4	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2157	1.2026034	6929.1850	22.940151	8.929330	2000-2009 –> 2010-2019	3.4278159	2.2252125	18505.5235	45.53974	5	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	2157	1.3326554	7372.1673	20.910709	8.481540	2000-2009 –> 2010-2019	3.5438971	2.2112417	18915.6795	44.30112	6	11
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2157	1.3501108	7430.3060	22.819805	10.092901	2000-2009 –> 2010-2019	3.6813186	2.3312078	19251.1802	44.88674	7	18
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2157	1.4435042	7718.8566	758.394096	10.068946	2000-2009 –> 2010-2019	3.7795019	2.3359977	19550.4287	1277.98616	8	20
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	2157	1.4647563	7779.9068	18.073205	9.657462	2000-2009 –> 2010-2019	3.8063097	2.3415534	19621.8599	38.21967	9	22
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	2157	1.8772753	8850.3505	23.086685	8.849695	2000-2009 –> 2010-2019	4.1246526	2.2473773	20478.3475	43.05806	13	20
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2871	3.4632310	15292.2687	454.609451	40.458112	1982-1999 –> 2000-2009	5.8326000	2.3693691	35313.5695	901.73054	1	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + phosphate + phosphate_star	2871	3.5129297	15372.0830	439.204258	46.649271	1982-1999 –> 2000-2009	5.8857354	2.3728057	35404.0949	852.09938	2	15
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2871	3.7406262	15736.6959	31.103019	46.946881	1982-1999 –> 2000-2009	6.0375060	2.2968799	35487.4945	67.37122	3	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	2871	3.8166578	15850.2370	26.280682	53.042838	1982-1999 –> 2000-2009	6.1453518	2.3286940	35719.6755	48.24874	5	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate	2871	3.7411270	15735.4646	26.907438	47.687652	1982-1999 –> 2000-2009	6.1542925	2.4131655	35917.3938	54.32279	4	19
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2871	3.8858070	15955.3379	131.009056	50.080957	1982-1999 –> 2000-2009	6.1932502	2.3074432	35746.3772	222.94088	7	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2871	3.9661736	16072.8830	119.867212	55.099253	1982-1999 –> 2000-2009	6.2227221	2.2565485	35668.3193	207.62915	11	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2871	3.9230694	16010.1376	35.524713	52.429228	1982-1999 –> 2000-2009	6.2293163	2.3062469	35796.6288	61.81094	9	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	2871	3.8262006	15862.5758	14.459073	57.022260	1982-1999 –> 2000-2009	6.2555724	2.4293718	36101.2055	29.86601	6	22
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2871	3.9943430	16111.5209	119.494549	58.357276	1982-1999 –> 2000-2009	6.3001125	2.3057695	35894.1966	201.68286	17	20
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2499	2.5276990	11740.5472	31.940454	19.615194	2000-2009 –> 2010-2019	6.2683252	3.7406262	27477.2431	63.04347	2	5
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2499	2.5349729	11754.9092	144.304990	19.518941	2000-2009 –> 2010-2019	6.4207799	3.8858070	27710.2470	275.31405	4	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2499	2.9796607	12560.7183	844.757644	21.601005	2000-2009 –> 2010-2019	6.4428916	3.4632310	27852.9870	1299.36710	13	14
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2499	2.4770540	11639.3905	122.749124	18.612920	2000-2009 –> 2010-2019	6.4432277	3.9661736	27712.2735	242.61634	1	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2499	2.5337243	11752.4468	33.355926	19.521335	2000-2009 –> 2010-2019	6.4567937	3.9230694	27762.5844	68.88064	3	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + phosphate + phosphate_star	2499	3.0051598	12601.3078	757.538736	21.635847	2000-2009 –> 2010-2019	6.5180895	3.5129297	27973.3908	1196.74299	15	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	2499	2.7049709	12077.3205	26.633453	20.120554	2000-2009 –> 2010-2019	6.5216287	3.8166578	27927.5574	52.91413	6	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2499	2.5857634	11852.0586	24.393538	20.448011	2000-2009 –> 2010-2019	6.5544051	3.9686418	27926.5137	46.59512	5	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2499	2.7449228	12150.6000	132.207776	20.152070	2000-2009 –> 2010-2019	6.7196330	3.9747103	28233.8286	257.76185	8	21
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2499	2.7465867	12153.6288	32.563849	20.103192	2000-2009 –> 2010-2019	6.7352157	3.9886290	28256.9298	65.06526	9	25
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1599	0.5990772	2913.2229	59.974191	4.690456	1982-1999 –> 2000-2009	0.9761289	0.3770517	5110.4522	126.99796	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1599	0.5992995	2912.4091	52.767988	4.704781	1982-1999 –> 2000-2009	0.9817366	0.3824371	5177.4420	119.79145	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1599	0.6352258	3100.5937	244.388229	4.909529	1982-1999 –> 2000-2009	1.0408259	0.4056001	5657.0580	557.00545	3	6
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1599	0.6401217	3125.1475	54.960798	4.966596	1982-1999 –> 2000-2009	1.0463128	0.4061911	5688.7774	118.29163	5	9
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1599	0.6476074	3162.3285	215.022010	4.976271	1982-1999 –> 2000-2009	1.0543637	0.4067563	5732.8026	480.50239	7	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1599	0.6368102	3106.5606	220.267329	4.943931	1982-1999 –> 2000-2009	1.0571205	0.4203103	5836.3728	470.89629	4	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1599	0.6425899	3135.4547	54.422008	5.015961	1982-1999 –> 2000-2009	1.0652874	0.4226975	5893.1433	111.14537	6	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1599	0.6609947	3225.7630	212.088835	5.159455	1982-1999 –> 2000-2009	1.0935346	0.4325400	6096.7459	466.92642	8	17
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1599	0.7012784	3414.9542	38.146283	5.630587	1982-1999 –> 2000-2009	1.1089883	0.4077099	5994.9541	66.65700	9	15
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate_star	1599	0.7587781	3664.9706	30.216899	6.352732	1982-1999 –> 2000-2009	1.2025636	0.4437855	6660.2843	53.05419	19	29
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1351	0.6402186	2643.0267	116.185379	2.767040	2000-2009 –> 2010-2019	1.2392958	0.5990772	5556.2497	176.15957	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1351	0.6890675	2839.7038	115.422209	3.353955	2000-2009 –> 2010-2019	1.2883670	0.5992995	5752.1129	168.19020	6	8
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1351	0.6717224	2772.8187	470.934886	2.906207	2000-2009 –> 2010-2019	1.3069482	0.6352258	5873.4124	715.32311	2	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1351	0.6731207	2778.4376	86.688925	2.897075	2000-2009 –> 2010-2019	1.3132424	0.6401217	5903.5850	141.64972	3	8
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1351	0.6742758	2783.0704	391.120892	2.864363	2000-2009 –> 2010-2019	1.3218832	0.6476074	5945.3988	606.14290	4	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1351	0.7317518	3002.0998	350.551296	3.557892	2000-2009 –> 2010-2019	1.3685620	0.6368102	6108.6604	570.81863	7	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1351	0.6777809	2795.0796	52.794872	2.846660	2000-2009 –> 2010-2019	1.3790593	0.7012784	6210.0339	90.94115	5	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1351	0.7390402	3028.8791	85.867225	3.597551	2000-2009 –> 2010-2019	1.3816301	0.6425899	6164.3338	140.28923	8	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1351	0.7759254	3160.4775	358.728284	3.697622	2000-2009 –> 2010-2019	1.4369201	0.6609947	6386.2405	570.81712	10	18
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1351	0.7516088	3076.4447	107.684653	2.991057	2000-2009 –> 2010-2019	1.5040278	0.7524190	6718.5010	161.37661	9	25
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2609	0.5332075	4136.7096	115.977278	4.065442	1982-1999 –> 2000-2009	0.9505663	0.4173589	7695.1432	204.98471	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2609	0.5546333	4342.2814	267.709857	4.268082	1982-1999 –> 2000-2009	0.9956256	0.4409923	8258.8513	555.38814	3	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	2609	0.5473553	4271.3565	92.939544	4.564201	1982-1999 –> 2000-2009	0.9988889	0.4515336	8339.5187	179.41904	2	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2609	0.5569844	4364.3534	215.901864	4.585398	1982-1999 –> 2000-2009	1.0011492	0.4441649	8327.5320	454.20563	4	8
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2609	0.5577005	4371.0578	73.989555	4.369827	1982-1999 –> 2000-2009	1.0016373	0.4439368	8330.8975	130.25682	5	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2609	0.5600210	4390.7239	214.265621	4.701456	1982-1999 –> 2000-2009	1.0176245	0.4576036	8545.7103	440.35179	6	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2609	0.5653700	4440.3268	240.471855	4.731864	1982-1999 –> 2000-2009	1.0311231	0.4657531	8710.0891	466.07332	7	15
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2609	0.5671756	4456.9644	59.621555	4.788678	1982-1999 –> 2000-2009	1.0338111	0.4666355	8739.0343	114.45272	8	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	2609	0.5805845	4578.8911	104.345498	3.683545	1982-1999 –> 2000-2009	1.0371582	0.4565736	8719.2273	191.55951	9	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	2609	0.5830823	4599.2920	88.947206	3.685560	1982-1999 –> 2000-2009	1.0594278	0.4763454	9013.2687	174.38159	10	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2047	0.6113690	3808.6627	159.411194	3.515677	2000-2009 –> 2010-2019	1.1445764	0.5332075	7945.3723	275.38847	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	2047	0.6117736	3809.3714	158.113323	3.551812	2000-2009 –> 2010-2019	1.1591289	0.5473553	8080.7279	251.05287	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2047	0.6340038	3957.4969	432.958430	3.592492	2000-2009 –> 2010-2019	1.1886371	0.5546333	8299.7783	700.66829	4	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2047	0.6329924	3950.9607	343.397697	3.548688	2000-2009 –> 2010-2019	1.1899767	0.5569844	8315.3141	559.29956	3	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2047	0.6363655	3972.7192	99.278901	3.623178	2000-2009 –> 2010-2019	1.1940660	0.5577005	8343.7770	173.26846	7	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2047	0.6362363	3969.8881	338.727281	3.462559	2000-2009 –> 2010-2019	1.1962573	0.5600210	8360.6120	552.99290	6	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2047	0.6340112	3955.5449	361.904625	3.587250	2000-2009 –> 2010-2019	1.1993812	0.5653700	8395.8717	602.37648	5	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2047	0.6364834	3971.4777	98.698820	3.603027	2000-2009 –> 2010-2019	1.2036590	0.5671756	8428.4421	158.32037	8	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2047	0.6572098	4102.6696	66.756186	3.983828	2000-2009 –> 2010-2019	1.2675803	0.6103705	8942.6214	138.69277	9	22
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2047	0.6662634	4160.6828	149.567335	3.128862	2000-2009 –> 2010-2019	1.2904686	0.6242053	9119.5859	258.00635	10	29
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4360	0.6395767	8489.7512	203.916953	3.775730	1982-1999 –> 2000-2009	1.1884570	0.5488803	18394.7634	403.87721	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	4360	0.6396971	8489.3918	125.152430	3.908683	1982-1999 –> 2000-2009	1.1970344	0.5573373	18577.0497	232.56783	2	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4360	0.6618333	8786.0379	462.810466	4.347096	1982-1999 –> 2000-2009	1.2132397	0.5514064	18744.5001	724.64785	3	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4360	0.6698586	8891.1390	477.100354	4.360210	1982-1999 –> 2000-2009	1.2304231	0.5605645	19048.5195	747.12640	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4360	0.6850801	9087.0703	656.177853	4.286674	1982-1999 –> 2000-2009	1.2618704	0.5767903	19589.0322	1073.71338	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	4360	0.7043398	9328.8332	137.845868	3.786907	1982-1999 –> 2000-2009	1.2999672	0.5956273	20218.8756	271.99165	6	12
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4360	0.7396639	9757.5466	946.931618	4.956378	1982-1999 –> 2000-2009	1.3545014	0.6148375	21032.9151	1479.34730	7	14
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4360	0.7433794	9801.2388	160.800529	7.947454	1982-1999 –> 2000-2009	1.4057516	0.6623723	21975.9033	327.13322	8	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4360	0.7572344	9960.2651	146.956531	9.515260	1982-1999 –> 2000-2009	1.4419017	0.6846673	22532.7097	301.58982	9	20
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4360	0.7630096	10028.5173	203.289079	8.536349	1982-1999 –> 2000-2009	1.4434856	0.6804761	22528.8107	406.44774	11	21
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3862	0.6559198	7716.5408	245.931323	3.305895	2000-2009 –> 2010-2019	1.2954965	0.6395767	16206.2921	449.84828	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	3862	0.6592283	7753.4033	161.139605	3.030740	2000-2009 –> 2010-2019	1.2989253	0.6396971	16242.7951	286.29203	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3862	0.6796866	7989.4635	292.738977	3.270957	2000-2009 –> 2010-2019	1.3415199	0.6618333	16775.5015	755.54944	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3862	0.6867743	8069.5916	299.124646	3.297092	2000-2009 –> 2010-2019	1.3566329	0.6698586	16960.7306	776.22500	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3862	0.7026580	8246.1974	612.901469	3.393337	2000-2009 –> 2010-2019	1.3877381	0.6850801	17333.2676	1269.07932	7	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	3862	0.6947913	8159.2352	200.418812	3.739786	2000-2009 –> 2010-2019	1.3991311	0.7043398	17488.0684	338.26468	5	11
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3862	0.6999945	8218.8638	862.630944	3.638319	2000-2009 –> 2010-2019	1.4396585	0.7396639	17976.4104	1809.56256	6	13
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3862	0.7802550	9057.2902	249.949930	3.190721	2000-2009 –> 2010-2019	1.5236344	0.7433794	18858.5290	410.75046	8	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	3862	0.7828677	9079.1113	161.072125	3.093810	2000-2009 –> 2010-2019	1.5444474	0.7615797	19087.2724	278.01815	9	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3862	0.8002699	9250.9257	200.552323	2.841962	2000-2009 –> 2010-2019	1.5575043	0.7572344	19211.1909	347.50885	11	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7165	0.7173484	15587.0550	201.403787	4.610532	1982-1999 –> 2000-2009	1.2744674	0.5571190	31796.5981	492.06728	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7165	0.7282876	15803.9303	43.521319	4.510182	1982-1999 –> 2000-2009	1.3056574	0.5773698	32706.8493	93.55445	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	7165	0.7291483	15818.8563	35.481393	4.488356	1982-1999 –> 2000-2009	1.3077337	0.5785853	32760.6163	84.86867	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7165	0.7637777	16485.7627	451.056271	4.388978	1982-1999 –> 2000-2009	1.3646516	0.6008739	34163.5794	782.51055	4	8
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7165	0.7651051	16510.6458	453.070860	4.393140	1982-1999 –> 2000-2009	1.3665316	0.6014265	34206.3147	779.26787	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7165	0.7651506	16509.4970	110.702213	4.392340	1982-1999 –> 2000-2009	1.3665773	0.6014267	34203.1738	271.24175	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7165	0.7685194	16572.4519	301.526344	4.411417	1982-1999 –> 2000-2009	1.3707071	0.6021877	34290.6839	581.16300	7	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	7165	0.7716876	16631.4045	10.618201	4.402821	1982-1999 –> 2000-2009	1.3762229	0.6045353	34425.1981	33.71704	9	17
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7165	0.7699716	16601.5034	481.393712	4.405502	1982-1999 –> 2000-2009	1.3776720	0.6077004	34498.7053	813.69446	8	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	7165	0.7983659	17116.4412	7.660621	4.495058	1982-1999 –> 2000-2009	1.4098344	0.6114685	35129.6892	21.65926	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6247	0.6552959	12461.3988	457.744736	4.125491	2000-2009 –> 2010-2019	1.3726443	0.7173484	28048.4539	659.14852	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6247	0.7042763	13362.0149	140.325371	4.780849	2000-2009 –> 2010-2019	1.4325639	0.7282876	29165.9452	183.84669	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	6247	0.7238228	13702.0486	120.817219	4.564440	2000-2009 –> 2010-2019	1.4529711	0.7291483	29520.9049	156.29861	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6247	0.7288541	13790.5940	473.955644	4.261697	2000-2009 –> 2010-2019	1.4926318	0.7637777	30276.3567	925.01191	4	8
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6247	0.7288721	13790.9027	460.552711	4.247570	2000-2009 –> 2010-2019	1.4939772	0.7651051	30301.5486	913.62357	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6247	0.7335566	13868.9460	389.530804	4.140407	2000-2009 –> 2010-2019	1.4987072	0.7651506	30378.4430	500.23302	8	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	6247	0.7288761	13788.9718	73.741811	4.237289	2000-2009 –> 2010-2019	1.5005637	0.7716876	30420.3764	84.36001	6	15
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6247	0.7324612	13852.2756	490.119957	4.317969	2000-2009 –> 2010-2019	1.5024328	0.7699716	30453.7790	971.51367	7	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6247	0.7368516	13924.9413	473.949554	4.094247	2000-2009 –> 2010-2019	1.5053711	0.7685194	30497.3932	775.47590	9	16
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	6247	0.7376152	13935.8817	19.007388	4.224023	2000-2009 –> 2010-2019	1.5359811	0.7983659	31052.3230	26.66801	10	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3097	5.5029261	19365.4094	113.505781	32.267657	1982-1999 –> 2000-2009	10.9802274	5.4773013	32668.6968	211.39006	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3097	5.6626877	19542.6735	113.504152	17.682113	1982-1999 –> 2000-2009	11.2283704	5.5656827	32914.1514	214.16403	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3097	5.7284269	19614.1665	26.383770	42.441578	1982-1999 –> 2000-2009	11.2971270	5.5687001	32987.9533	57.21813	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3097	5.8071170	19698.6730	17.396772	45.895333	1982-1999 –> 2000-2009	11.4757071	5.6685901	33148.1974	31.91038	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3097	5.8876494	19783.9805	20.186580	44.545458	1982-1999 –> 2000-2009	11.6181997	5.7305503	33279.8160	36.63153	5	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3097	5.9137092	19809.3358	113.061721	20.511058	1982-1999 –> 2000-2009	11.6781155	5.7644063	33328.2652	210.89006	6	13
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3097	6.0619139	19964.6517	19.416041	17.107150	1982-1999 –> 2000-2009	11.7853218	5.7234079	33455.1743	42.92514	8	13
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3097	6.2163964	20120.5225	7.190752	19.054397	1982-1999 –> 2000-2009	12.0784905	5.8620941	33713.0401	12.68404	9	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3097	6.2531702	20157.0559	10.483559	19.363344	1982-1999 –> 2000-2009	12.1529311	5.8997609	33776.8584	18.68475	10	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	3097	6.3432809	20243.6769	18.080379	20.863812	1982-1999 –> 2000-2009	12.3286576	5.9853767	33922.8552	40.35954	12	22
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4002	5.2233101	24602.8470	144.188774	46.915980	2000-2009 –> 2010-2019	10.7262361	5.5029261	43968.2564	257.69455	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4002	5.3422625	24783.0807	144.257536	35.313189	2000-2009 –> 2010-2019	11.0049503	5.6626877	44325.7541	257.76169	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4002	5.4094438	24883.1068	27.249551	44.924246	2000-2009 –> 2010-2019	11.1378706	5.7284269	44497.2733	53.63332	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4002	5.4866821	24996.5830	17.080424	48.813624	2000-2009 –> 2010-2019	11.2937990	5.8071170	44695.2560	34.47720	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4002	5.5750002	25124.3960	20.483533	48.144447	2000-2009 –> 2010-2019	11.4626496	5.8876494	44908.3765	40.67011	6	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4002	5.5675478	25111.6895	144.108327	29.198384	2000-2009 –> 2010-2019	11.4812570	5.9137092	44921.0253	257.17005	5	11
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4002	5.7147097	25322.5042	15.526922	61.056091	2000-2009 –> 2010-2019	11.7204997	6.0057900	45229.5420	28.61463	7	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4002	5.7586679	25383.8363	24.348685	21.461219	2000-2009 –> 2010-2019	11.8205819	6.0619139	45348.4881	43.76473	8	16
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4002	5.9121921	25594.4255	10.008463	21.465459	2000-2009 –> 2010-2019	12.1285885	6.2163964	45714.9480	17.19922	9	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4002	5.9746031	25678.4754	10.801567	21.385794	2000-2009 –> 2010-2019	12.2277733	6.2531702	45835.5313	21.28513	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3001	4.0530485	16930.0839	536.024394	16.448601	1982-1999 –> 2000-2009	7.7198789	3.6668304	34243.1299	1123.15140	2	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3001	3.9963967	16845.5987	59.094607	19.890971	1982-1999 –> 2000-2009	7.8209239	3.8245272	34426.6149	104.92047	1	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3001	4.1296389	17042.4453	29.627145	20.274488	1982-1999 –> 2000-2009	8.1086688	3.9790299	34875.4962	48.49860	3	8
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3001	4.1594676	17085.6424	32.123284	20.263599	1982-1999 –> 2000-2009	8.1716198	4.0121522	34971.4494	51.60985	4	11
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3001	4.3120231	17301.8351	59.313837	16.032107	1982-1999 –> 2000-2009	8.2020375	3.8900144	34990.8993	105.33595	8	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3001	4.3535922	17359.4189	536.807178	15.810806	1982-1999 –> 2000-2009	8.2102844	3.8566922	34993.7337	1133.00187	9	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3001	4.3084780	17296.8985	59.398627	13.693158	1982-1999 –> 2000-2009	8.3052716	3.9967936	35158.2972	107.77383	7	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3001	4.2927554	17274.9558	19.891025	14.473833	1982-1999 –> 2000-2009	8.3613088	4.0685534	35249.6023	31.00095	5	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3001	4.3022291	17288.1870	28.213216	14.632723	1982-1999 –> 2000-2009	8.4043213	4.1020922	35315.0797	44.21810	6	18
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3001	4.4334434	17468.5069	29.684234	16.546035	1982-1999 –> 2000-2009	8.4685245	4.0350810	35390.5797	49.56255	10	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3089	3.4887534	16499.8880	63.850000	16.657473	2000-2009 –> 2010-2019	7.4851501	3.9963967	33345.4867	122.94461	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3089	3.6545228	16786.6773	553.234668	34.533471	2000-2009 –> 2010-2019	7.7075713	4.0530485	33716.7612	1089.25906	4	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3089	3.5815269	16662.0280	21.072653	17.760089	2000-2009 –> 2010-2019	7.7111658	4.1296389	33704.4733	50.69980	2	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3089	3.6081046	16707.7044	21.627282	17.929822	2000-2009 –> 2010-2019	7.7675722	4.1594676	33793.3467	53.75057	3	7
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3089	3.8707409	17141.7912	62.960235	15.367288	2000-2009 –> 2010-2019	8.1792188	4.3084780	34438.6896	122.35886	5	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3089	3.8988159	17186.4394	15.253295	15.919569	2000-2009 –> 2010-2019	8.1915713	4.2927554	34461.3952	35.14432	6	11
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3089	3.9229666	17224.5901	20.723908	16.254620	2000-2009 –> 2010-2019	8.2251956	4.3022291	34512.7771	48.93712	7	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3089	4.0539390	17427.4809	56.220962	16.613957	2000-2009 –> 2010-2019	8.3659621	4.3120231	34729.3160	115.53480	10	18
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3089	4.0243423	17382.2116	334.809188	29.216987	2000-2009 –> 2010-2019	8.5295310	4.5051887	34947.0697	631.54082	8	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3089	4.1993078	17645.1361	516.429964	38.959946	2000-2009 –> 2010-2019	8.5529000	4.3535922	35004.5550	1053.23714	15	24
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2685	4.2271557	15374.7126	119.398449	15.791380	1982-1999 –> 2000-2009	7.5233530	3.2961973	30395.5868	189.40625	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2685	4.3071517	15475.3865	672.689479	22.358959	1982-1999 –> 2000-2009	7.6610191	3.3538674	30595.9231	1195.35544	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2685	4.3338509	15508.5713	55.629280	16.158878	1982-1999 –> 2000-2009	7.7614287	3.4275777	30754.0242	100.61250	3	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2685	4.3433762	15520.3610	59.308321	16.181992	1982-1999 –> 2000-2009	7.7808399	3.4374638	30782.3629	106.40260	4	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2685	4.4337060	15630.8962	122.180625	19.597314	1982-1999 –> 2000-2009	7.7906732	3.3569672	30756.7410	204.80818	6	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2685	4.4078947	15599.5428	123.656498	23.866044	1982-1999 –> 2000-2009	7.8884109	3.4805162	30933.0635	206.03963	5	12
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2685	4.5475354	15767.0236	57.249717	20.223278	1982-1999 –> 2000-2009	8.0190002	3.4714649	31085.5818	104.95687	12	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2685	4.5011992	15710.0264	615.337095	19.392226	1982-1999 –> 2000-2009	8.0226832	3.5214840	31108.7861	1050.37843	7	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2685	4.5598690	15781.5681	62.541598	20.197345	1982-1999 –> 2000-2009	8.0429015	3.4830325	31119.2414	113.92652	13	21
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2685	4.5298992	15746.1572	48.566606	15.284927	1982-1999 –> 2000-2009	8.1014986	3.5715994	31228.1136	89.11671	9	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2837	3.1206288	14522.2652	95.184827	14.930233	2000-2009 –> 2010-2019	7.3477846	4.2271557	29896.9778	214.58328	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2837	3.2521710	14756.5346	599.386338	15.558910	2000-2009 –> 2010-2019	7.5593226	4.3071517	30231.9210	1272.07582	4	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2837	3.2320781	14721.3703	47.881923	16.068727	2000-2009 –> 2010-2019	7.5659290	4.3338509	30229.9416	103.51120	2	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2837	3.2485919	14750.2868	48.958861	16.138475	2000-2009 –> 2010-2019	7.5919680	4.3433762	30270.6477	108.26718	3	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2837	3.3250520	14882.2849	104.918174	16.009151	2000-2009 –> 2010-2019	7.7329467	4.4078947	30481.8276	228.57467	5	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2837	3.3264070	14882.5966	506.139889	15.971603	2000-2009 –> 2010-2019	7.8276062	4.5011992	30592.6230	1121.47698	6	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2837	3.4746656	15132.0143	24.341435	15.757983	2000-2009 –> 2010-2019	7.9874670	4.5128014	30857.8645	53.08084	8	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2837	3.5068258	15184.2891	34.237576	15.877490	2000-2009 –> 2010-2019	8.0378261	4.5310003	30931.7515	76.64203	9	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	2837	3.4109884	15025.0672	93.338918	16.056036	2000-2009 –> 2010-2019	8.0396753	4.6286869	30885.0743	212.71232	7	21
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2837	3.6746758	15449.5691	48.384600	14.963150	2000-2009 –> 2010-2019	8.2045750	4.5298992	31195.7264	96.95121	12	21
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3955	3.6062588	21383.7305	146.853562	14.935679	1982-1999 –> 2000-2009	6.5368602	2.9306014	39849.4241	246.81793	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3955	3.6709916	21524.4568	75.695669	16.062755	1982-1999 –> 2000-2009	6.7538260	3.0828343	40364.7980	130.74098	2	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3955	3.6751686	21533.4520	85.955771	16.042284	1982-1999 –> 2000-2009	6.7704734	3.0953048	40403.6587	148.62432	3	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3955	3.8461745	21893.1988	754.801532	17.094512	1982-1999 –> 2000-2009	6.9054580	3.0592836	40676.8073	1335.36837	7	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3955	3.7093895	21606.7642	52.689034	14.742183	1982-1999 –> 2000-2009	6.9064328	3.1970433	40716.2225	91.83521	4	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3955	3.7123646	21611.1058	50.362755	14.826226	1982-1999 –> 2000-2009	6.9155705	3.2032059	40732.8108	88.32501	5	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3955	3.8532186	21905.6725	723.731923	16.876332	1982-1999 –> 2000-2009	6.9750358	3.1218171	40836.9758	1274.63233	8	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3955	3.8422363	21885.0953	142.415605	18.366311	1982-1999 –> 2000-2009	7.0388475	3.1966112	40993.5537	244.09469	6	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3955	3.8701576	21940.3690	141.676475	18.045039	1982-1999 –> 2000-2009	7.1463225	3.2761649	41228.6868	241.08910	9	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3955	3.9251567	22053.9874	33.016020	19.752740	1982-1999 –> 2000-2009	7.2962558	3.3710991	41555.6315	58.39361	10	21
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3551	3.2802493	18527.9052	125.644803	19.714555	2000-2009 –> 2010-2019	6.8865081	3.6062588	39911.6357	272.49837	5	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3551	3.1167768	18164.8507	120.148415	20.506668	2000-2009 –> 2010-2019	6.9590130	3.8422363	40049.9460	262.56402	1	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3551	3.1717295	18288.9770	658.830760	17.592212	2000-2009 –> 2010-2019	7.0179040	3.8461745	40182.1757	1413.63229	2	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3551	3.3624573	18703.6983	67.175230	21.087206	2000-2009 –> 2010-2019	7.0334489	3.6709916	40228.1551	142.87090	6	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3551	3.3739304	18727.8900	76.195169	21.127535	2000-2009 –> 2010-2019	7.0490991	3.6751686	40261.3420	162.15094	7	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3551	3.4028200	18788.4426	46.159250	15.196963	2000-2009 –> 2010-2019	7.1122095	3.7093895	40395.2068	98.84828	8	12
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3551	3.1928349	18336.0786	29.049513	21.801900	2000-2009 –> 2010-2019	7.1179916	3.9251567	40390.0660	62.06553	3	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3551	3.2063654	18366.1117	41.974849	21.874181	2000-2009 –> 2010-2019	7.1363725	3.9300071	40429.8677	95.57825	4	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3551	3.6661217	19315.7536	40.706705	16.811364	2000-2009 –> 2010-2019	7.3784863	3.7123646	40926.8594	91.06946	13	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3551	3.6359621	19257.0869	658.778967	19.701340	2000-2009 –> 2010-2019	7.4891808	3.8532186	41162.7594	1382.51089	12	20
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5025	3.0996767	25643.8754	142.061427	9.876023	1982-1999 –> 2000-2009	5.6198032	2.5201265	45805.1184	250.13293	3	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	5025	2.9314164	25082.9636	732.654465	9.770102	1982-1999 –> 2000-2009	5.6291833	2.6977670	45829.8619	1363.74784	1	11
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5025	3.0414386	25453.2550	133.716172	10.284523	1982-1999 –> 2000-2009	5.6644953	2.6230567	45958.6867	250.06674	2	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5025	3.1927625	25941.2418	64.551169	10.828206	1982-1999 –> 2000-2009	5.7132525	2.5204900	46103.7250	117.92093	10	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5025	3.2003798	25965.1906	72.234930	10.865156	1982-1999 –> 2000-2009	5.7269691	2.5265893	46148.4548	131.52624	11	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5025	3.1605678	25839.3868	23.110771	10.774964	1982-1999 –> 2000-2009	5.8196519	2.6590841	46462.1072	47.40740	6	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5025	3.1753615	25884.3181	131.523711	10.016883	1982-1999 –> 2000-2009	5.8249142	2.6495527	46474.1641	237.74473	8	13
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5025	3.1636450	25849.1669	35.739035	10.821536	1982-1999 –> 2000-2009	5.8306825	2.6670375	46497.5658	69.67946	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5025	3.1338195	25751.9704	699.873847	10.180186	1982-1999 –> 2000-2009	5.9024266	2.7686071	46719.7287	1235.67077	4	15
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5025	3.2546171	26132.0822	21.535980	10.516327	1982-1999 –> 2000-2009	5.9234314	2.6688143	46784.2075	41.11093	12	20
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4714	2.6024191	22409.0824	785.227696	9.531113	2000-2009 –> 2010-2019	5.5338355	2.9314164	47492.0460	1517.88216	2	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4714	2.5774389	22318.1473	152.285366	10.604836	2000-2009 –> 2010-2019	5.6771156	3.0996767	47962.0227	294.34679	1	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4714	2.7134469	22802.9681	137.501494	10.245361	2000-2009 –> 2010-2019	5.7548855	3.0414386	48256.2232	271.21767	6	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4714	2.6258296	22491.5144	756.177790	9.947679	2000-2009 –> 2010-2019	5.7596491	3.1338195	48243.4848	1456.05164	3	7
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4714	2.6945876	22737.2119	56.074018	11.429217	2000-2009 –> 2010-2019	5.8873500	3.1927625	48678.4537	120.62519	4	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4714	2.7153133	22807.4510	133.224007	10.374633	2000-2009 –> 2010-2019	5.8906748	3.1753615	48691.7691	264.74772	7	15
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4714	2.7038695	22769.6323	63.190794	11.464249	2000-2009 –> 2010-2019	5.9042493	3.2003798	48734.8229	135.42572	5	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4714	2.8270353	23189.5995	23.248275	10.768372	2000-2009 –> 2010-2019	5.9876031	3.1605678	49028.9863	46.35905	8	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4714	2.8341743	23213.3777	32.772720	10.787744	2000-2009 –> 2010-2019	5.9978193	3.1636450	49062.5446	68.51175	10	17
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4714	2.8749732	23348.1291	34.987806	9.785195	2000-2009 –> 2010-2019	6.0233207	3.1483476	49148.5826	81.48895	12	17
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6501	2.9535206	32544.1772	301.378838	9.683294	1982-1999 –> 2000-2009	5.3071528	2.3536322	60266.4384	680.13605	3	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6501	2.8948791	32283.4284	23.423565	9.253206	1982-1999 –> 2000-2009	5.3099324	2.4150533	60319.4658	43.67391	1	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6501	3.0227873	32845.5826	258.518592	10.910020	1982-1999 –> 2000-2009	5.4111691	2.3883818	60746.3576	502.67375	4	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6501	3.0701088	33045.5512	199.491825	11.760587	1982-1999 –> 2000-2009	5.4615304	2.3914216	60959.8183	392.82108	8	11
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6501	3.0397949	32918.5332	55.639595	10.016966	1982-1999 –> 2000-2009	5.4718424	2.4320475	61039.9783	117.67618	5	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6501	2.9463255	32512.4644	82.860017	9.483975	1982-1999 –> 2000-2009	5.4754374	2.5291119	61110.5704	158.08107	2	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6501	3.0412160	32924.6101	69.642374	9.948320	1982-1999 –> 2000-2009	5.4790506	2.4378346	61075.0035	145.36470	6	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6501	3.0431180	32930.7392	19.262379	9.712794	1982-1999 –> 2000-2009	5.5175881	2.4744701	61260.8105	33.07336	7	17
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6501	3.0916203	33138.3354	35.686608	11.122870	1982-1999 –> 2000-2009	5.5522025	2.4605822	61401.8543	76.55797	9	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6501	3.0978526	33164.5194	39.297451	11.137196	1982-1999 –> 2000-2009	5.5673851	2.4695325	61472.2621	84.94781	10	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6119	2.9924740	30793.0472	294.722522	13.652764	2000-2009 –> 2010-2019	5.9459946	2.9535206	63337.2245	596.10136	1	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6119	3.0539938	31042.0871	21.670003	13.752227	2000-2009 –> 2010-2019	5.9488730	2.8948791	63325.5155	45.09357	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6119	3.0827929	31156.9505	292.921901	16.181942	2000-2009 –> 2010-2019	6.1055802	3.0227873	64002.5330	551.44049	5	9
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6119	3.0677968	31097.2739	46.749083	14.038201	2000-2009 –> 2010-2019	6.1075917	3.0397949	64015.8070	102.38868	3	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6119	3.0679438	31095.8605	14.885723	13.944885	2000-2009 –> 2010-2019	6.1110619	3.0431180	64026.5997	34.14810	4	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6119	3.0829987	31155.7672	203.675184	16.226432	2000-2009 –> 2010-2019	6.1531074	3.0701088	64201.3184	403.16701	6	13
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6119	3.2107642	31654.7065	75.378985	10.170237	2000-2009 –> 2010-2019	6.1570897	2.9463255	64167.1709	158.23900	11	13
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6119	3.1554744	31442.1311	41.834507	16.531754	2000-2009 –> 2010-2019	6.2470947	3.0916203	64580.4664	77.52112	7	15
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6119	3.1608659	31463.0231	46.253648	16.544129	2000-2009 –> 2010-2019	6.2587185	3.0978526	64627.5425	85.55110	9	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6119	3.1567742	31445.1710	17.587076	16.649917	2000-2009 –> 2010-2019	6.3107561	3.1539819	64841.1619	42.97457	8	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7488	2.7753439	36551.1451	137.426654	9.648176	1982-1999 –> 2000-2009	4.9889217	2.2135778	66580.8649	264.36253	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	7488	2.8356743	36873.2051	30.185706	9.206361	1982-1999 –> 2000-2009	5.0794135	2.2437392	67086.4412	56.86732	4	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	7488	2.7740644	36544.2392	46.277924	9.953135	1982-1999 –> 2000-2009	5.0807589	2.3066945	67132.7044	83.98221	1	7
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7488	2.7797860	36575.0959	49.090705	9.989357	1982-1999 –> 2000-2009	5.0946344	2.3148483	67211.4093	92.67611	3	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7488	2.8549300	36974.5563	441.599823	10.127116	1982-1999 –> 2000-2009	5.2000495	2.3451195	67787.0440	991.58163	5	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7488	2.8621487	37012.3754	64.009612	10.255519	1982-1999 –> 2000-2009	5.2338760	2.3717273	67977.8489	123.44250	6	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7488	2.8693213	37049.8584	63.845918	10.356422	1982-1999 –> 2000-2009	5.2437033	2.3743820	68030.5011	121.97018	7	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	7488	2.9309341	37366.0337	29.955338	12.700202	1982-1999 –> 2000-2009	5.2586958	2.3277617	68075.7813	56.07174	12	20
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	7488	2.8940392	37176.3173	34.877916	10.389183	1982-1999 –> 2000-2009	5.2800430	2.3860038	68221.1698	59.88214	10	23
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	7488	2.8845057	37126.9022	40.258603	10.489914	1982-1999 –> 2000-2009	5.2820369	2.3975312	68237.1090	68.94796	9	24
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6787	3.2297988	35189.0985	116.691301	12.294606	2000-2009 –> 2010-2019	6.0051427	2.7753439	71740.2435	254.11795	1	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6787	3.2556814	35297.4429	38.072650	11.558811	2000-2009 –> 2010-2019	6.0297458	2.7740644	71841.6821	84.35057	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6787	3.2664059	35342.0833	40.797001	11.388053	2000-2009 –> 2010-2019	6.0461919	2.7797860	71917.1792	89.88771	3	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6787	3.2684831	35350.7127	19.615292	14.047900	2000-2009 –> 2010-2019	6.1041574	2.8356743	72223.9178	49.80100	4	8
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6787	3.3167610	35549.7444	428.553183	11.634779	2000-2009 –> 2010-2019	6.1716910	2.8549300	72524.3007	870.15301	5	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6787	3.3226440	35573.7994	71.110935	11.418803	2000-2009 –> 2010-2019	6.1847927	2.8621487	72586.1748	135.12055	7	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6787	3.3177856	35553.9368	45.570305	10.349312	2000-2009 –> 2010-2019	6.1986223	2.8808367	72663.7781	95.69441	6	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6787	3.3310299	35608.0152	70.902176	11.495584	2000-2009 –> 2010-2019	6.2003512	2.8693213	72657.8737	134.74809	9	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6787	3.3396351	35641.0365	29.989692	12.549207	2000-2009 –> 2010-2019	6.2241408	2.8845057	72767.9387	70.24829	11	20
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate	6787	3.3317641	35609.0069	33.631700	10.728609	2000-2009 –> 2010-2019	6.2314038	2.8996397	72814.2777	73.06804	10	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2872	2.1237847	12490.7622	640.826077	8.477495	1982-1999 –> 2000-2009	3.9173255	1.7935408	23161.4153	1283.50718	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2872	2.1300453	12507.6697	139.235160	8.583317	1982-1999 –> 2000-2009	3.9336816	1.8036364	23208.1844	287.22961	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2872	2.1337766	12517.7231	140.073065	8.650529	1982-1999 –> 2000-2009	3.9449189	1.8111423	23240.3312	285.86032	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2872	2.1921999	12672.8805	453.601813	9.345081	1982-1999 –> 2000-2009	4.0799944	1.8877945	23616.0104	933.36151	10	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2872	2.1790350	12638.2818	639.712822	8.803892	1982-1999 –> 2000-2009	4.1326267	1.9535917	23763.6770	1378.22934	4	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2872	2.1790461	12636.3110	474.540783	8.820266	1982-1999 –> 2000-2009	4.1326463	1.9536002	23759.7293	972.41267	5	18
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2872	2.1851658	12654.4202	83.951688	8.903067	1982-1999 –> 2000-2009	4.1545360	1.9693701	23822.6104	162.38506	6	21
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2872	2.1851814	12652.4610	10.817809	8.922272	1982-1999 –> 2000-2009	4.1545650	1.9693836	23818.6877	35.33683	7	23
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2872	2.1866268	12658.2592	84.789667	8.942126	1982-1999 –> 2000-2009	4.1593919	1.9727651	23835.6126	162.11094	8	25
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2872	2.1866271	12656.2599	10.990573	8.944724	1982-1999 –> 2000-2009	4.1593931	1.9727660	23831.6157	36.10422	9	27
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2622	2.3936920	12032.0707	714.324623	13.539929	2000-2009 –> 2010-2019	4.5174767	2.1237847	24522.8329	1355.15070	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2622	2.4107674	12069.3458	115.629080	13.437836	2000-2009 –> 2010-2019	4.5408126	2.1300453	24577.0155	254.86424	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2622	2.4202437	12089.9186	116.980864	13.420645	2000-2009 –> 2010-2019	4.5540203	2.1337766	24607.6417	257.05393	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2622	2.4688097	12194.1060	795.990533	15.036113	2000-2009 –> 2010-2019	4.6478447	2.1790350	24832.3878	1435.70335	7	11
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2622	2.4853323	12229.0848	84.206042	14.946469	2000-2009 –> 2010-2019	4.6704982	2.1851658	24883.5050	168.15773	8	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2622	2.4913501	12241.7669	85.616423	14.911875	2000-2009 –> 2010-2019	4.6779769	2.1866268	24900.0260	170.40609	9	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2622	2.4207796	12091.0798	915.700110	16.083905	2000-2009 –> 2010-2019	4.7220868	2.3013072	25042.9563	1647.51355	4	42
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2622	2.4424534	12137.8215	166.345739	16.003062	2000-2009 –> 2010-2019	4.7518783	2.3094249	25109.9240	342.22456	5	50
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2622	2.5773349	12417.7016	516.154315	13.274920	2000-2009 –> 2010-2019	4.7563810	2.1790461	25054.0126	990.69510	16	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2622	2.4560546	12166.9426	169.512169	15.988390	2000-2009 –> 2010-2019	4.7703161	2.3142615	25151.0622	347.05200	6	53
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3417	1.8598803	13951.6060	308.417756	8.850313	1982-1999 –> 2000-2009	3.4058957	1.5460154	25052.5210	653.94122	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3417	1.8654284	13971.9616	292.713834	8.878454	1982-1999 –> 2000-2009	3.4145138	1.5490854	25084.7357	620.54657	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3417	1.8710089	13992.3754	657.585462	8.823394	1982-1999 –> 2000-2009	3.4247429	1.5537340	25123.0616	1377.97447	3	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3417	1.8732733	14000.6410	284.594846	6.691136	1982-1999 –> 2000-2009	3.4799308	1.6066575	25331.5598	600.46799	4	8
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3417	1.9295451	14202.9067	698.881899	8.156288	1982-1999 –> 2000-2009	3.5908147	1.6612695	25733.6470	1556.40095	7	12
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3417	1.9289167	14200.6807	74.802367	8.177718	1982-1999 –> 2000-2009	3.5987066	1.6697899	25762.0027	154.68248	6	13
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3417	1.9289129	14200.6673	78.036057	8.179089	1982-1999 –> 2000-2009	3.6008712	1.6719583	25769.7474	160.07479	5	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	3417	1.9453857	14256.7815	600.595830	8.781290	1982-1999 –> 2000-2009	3.6103080	1.6649223	25798.6516	1263.16787	11	17
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3417	1.9422327	14245.6962	16.203309	8.777149	1982-1999 –> 2000-2009	3.6138991	1.6716664	25811.7325	42.29717	10	19
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3417	1.9415475	14243.2848	16.760182	8.765191	1982-1999 –> 2000-2009	3.6152939	1.6737464	25816.7546	43.92817	9	21
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3246	1.7795580	12967.5107	281.750134	12.389265	2000-2009 –> 2010-2019	3.6394384	1.8598803	26919.1167	590.16789	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3246	1.7795650	12967.5363	274.890746	12.438381	2000-2009 –> 2010-2019	3.6449934	1.8654284	26939.4979	567.60458	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3246	1.7803316	12970.3323	763.845123	12.459103	2000-2009 –> 2010-2019	3.6513406	1.8710089	26962.7077	1421.43059	3	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3246	1.8511300	13223.4981	264.484640	10.303518	2000-2009 –> 2010-2019	3.7244032	1.8732733	27224.1392	549.07949	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3246	1.8516787	13223.4225	257.041395	10.383561	2000-2009 –> 2010-2019	3.7929305	1.9412517	27465.6660	521.14583	5	13
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3246	1.9391470	13525.0642	791.438307	13.447735	2000-2009 –> 2010-2019	3.8686921	1.9295451	27727.9709	1490.32021	6	13
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3246	1.9417284	13533.7005	65.787632	13.459010	2000-2009 –> 2010-2019	3.8706451	1.9289167	27734.3813	140.59000	7	13
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3246	1.9428362	13537.4033	66.793492	13.460864	2000-2009 –> 2010-2019	3.8717491	1.9289129	27738.0706	144.82955	8	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	3246	1.9702726	13626.4410	712.077375	12.657824	2000-2009 –> 2010-2019	3.9156583	1.9453857	27883.2225	1312.67320	13	24
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3246	1.9791206	13655.5297	23.104505	12.524871	2000-2009 –> 2010-2019	3.9213533	1.9422327	27901.2259	39.30781	16	26
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3733	1.6538857	14364.1450	899.256202	9.257712	1982-1999 –> 2000-2009	3.0237449	1.3698592	26149.6047	1312.98585	4	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3733	1.6579879	14382.6404	794.290477	9.358462	1982-1999 –> 2000-2009	3.0277769	1.3697890	26167.7521	1164.24725	5	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3733	1.6440749	14319.7250	625.640331	8.746226	1982-1999 –> 2000-2009	3.0502044	1.4061295	26282.6274	1266.40410	3	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3733	1.6429947	14314.8180	82.444174	8.644749	1982-1999 –> 2000-2009	3.0629544	1.4199597	26344.1782	159.62507	1	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3733	1.6430008	14314.8459	86.655865	8.623528	1982-1999 –> 2000-2009	3.0661377	1.4231369	26359.3818	169.76300	2	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	3733	1.6738954	14451.9309	575.141196	9.583744	1982-1999 –> 2000-2009	3.0925695	1.4186741	26473.1406	1105.25751	9	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3733	1.6695594	14432.5663	21.997759	9.461170	1982-1999 –> 2000-2009	3.0982518	1.4286924	26501.5567	44.49838	7	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3733	1.6686969	14428.7084	23.189563	9.416906	1982-1999 –> 2000-2009	3.1004114	1.4317145	26512.0463	47.21995	6	14
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3733	1.6737945	14453.4809	84.895597	8.285016	1982-1999 –> 2000-2009	3.1936987	1.5199042	26944.6887	158.08120	8	17
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3733	1.7214772	14661.1976	19.302451	6.701763	1982-1999 –> 2000-2009	3.2880420	1.5665648	27355.7206	37.83550	11	25
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4673	1.5515655	17380.7649	564.664483	5.782764	2000-2009 –> 2010-2019	3.2733026	1.7217371	32045.0894	991.90100	1	11
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4673	1.6642531	18036.0315	109.528078	5.886546	2000-2009 –> 2010-2019	3.3072478	1.6429947	32350.8495	191.97225	4	5
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4673	1.6642630	18036.0872	106.335116	5.880936	2000-2009 –> 2010-2019	3.3072638	1.6430008	32350.9331	192.99098	5	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4673	1.6643980	18036.8454	685.553797	5.898717	2000-2009 –> 2010-2019	3.3084729	1.6440749	32356.5704	1311.19413	6	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4673	1.6687607	18059.3112	34.449606	6.092644	2000-2009 –> 2010-2019	3.3374577	1.6686969	32488.0195	57.63917	7	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4673	1.6692002	18061.7720	32.756106	6.109301	2000-2009 –> 2010-2019	3.3387596	1.6695594	32494.3384	54.75386	8	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4673	1.6702549	18067.6753	679.565819	6.130952	2000-2009 –> 2010-2019	3.3441502	1.6738954	32519.6062	1254.70701	9	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	4673	1.5941976	17632.0988	543.966197	6.225762	2000-2009 –> 2010-2019	3.3657612	1.7715636	32507.4197	942.65673	2	13
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4673	1.7082230	18279.7492	117.524024	6.527390	2000-2009 –> 2010-2019	3.3820175	1.6737945	32733.2301	202.41962	10	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4673	1.7246500	18367.1953	29.987878	6.949987	2000-2009 –> 2010-2019	3.4461272	1.7214772	33028.3929	49.29033	11	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2330	1.2372064	7618.1622	638.484545	5.662211	1982-1999 –> 2000-2009	2.2459289	1.0087225	14216.3605	1320.78741	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2330	1.2470380	7655.0469	131.738820	5.696718	1982-1999 –> 2000-2009	2.2694520	1.0224141	14315.4237	280.72707	2	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2330	1.2484642	7660.3736	143.447068	5.689336	1982-1999 –> 2000-2009	2.2732108	1.0247465	14331.2598	311.18539	3	6
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2330	1.2546873	7683.5442	93.598139	5.538842	1982-1999 –> 2000-2009	2.3034365	1.0487492	14461.2117	206.45805	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	2330	1.3012615	7851.3908	517.440104	6.652653	1982-1999 –> 2000-2009	2.3512743	1.0500129	14632.6120	983.92608	6	11
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2330	1.3017500	7855.1399	863.800518	6.630223	1982-1999 –> 2000-2009	2.3617784	1.0600283	14682.1440	1552.10026	7	13
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2330	1.3051632	7867.3425	991.783654	6.654696	1982-1999 –> 2000-2009	2.3688109	1.0636477	14710.0668	1793.40160	9	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2330	1.3106897	7885.0329	22.323861	6.687578	1982-1999 –> 2000-2009	2.3725924	1.0619027	14718.1847	47.82894	11	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2330	1.3083000	7876.5288	93.555009	6.392203	1982-1999 –> 2000-2009	2.3760072	1.0677072	14734.8218	194.75037	10	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	2330	1.3018376	7853.4536	626.517097	6.437585	1982-1999 –> 2000-2009	2.3762407	1.0744031	14740.5795	1308.08980	8	19
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2666	1.3887534	9330.8437	641.869992	5.696132	2000-2009 –> 2010-2019	2.6259598	1.2372064	16949.0059	1280.35454	2	3
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2666	1.3892776	9332.8562	188.834042	5.862095	2000-2009 –> 2010-2019	2.6363156	1.2470380	16987.9030	320.57286	3	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2666	1.3893037	9332.9562	197.616794	5.866054	2000-2009 –> 2010-2019	2.6377679	1.2484642	16993.3299	341.06386	4	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2666	1.3885968	9330.2426	140.890042	5.663555	2000-2009 –> 2010-2019	2.6432842	1.2546873	17013.7868	234.48818	1	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2666	1.3900757	9333.9184	24.023590	5.780016	2000-2009 –> 2010-2019	2.6794863	1.2894106	17142.6749	44.90507	5	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	2666	1.4727447	9641.9456	592.139703	6.233097	2000-2009 –> 2010-2019	2.7740062	1.3012615	17493.3364	1109.57981	10	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2666	1.4717611	9638.3833	24.432025	6.378415	2000-2009 –> 2010-2019	2.7824508	1.3106897	17523.4162	46.75589	9	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2666	1.4714653	9637.3118	25.724154	6.436366	2000-2009 –> 2010-2019	2.7851876	1.3137223	17533.1141	49.06666	8	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	2666	1.5506403	9916.7576	603.936184	6.180950	2000-2009 –> 2010-2019	2.8524779	1.3018376	17770.2111	1230.45328	12	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2666	1.5537019	9927.2749	140.752697	6.310727	2000-2009 –> 2010-2019	2.8620019	1.3083000	17803.8037	234.30771	15	23
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5429	1.1242167	16692.1601	385.754253	7.068916	1982-1999 –> 2000-2009	2.0778931	0.9536764	31386.7782	757.32211	2	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5429	1.1235412	16685.6340	43.291469	7.450491	1982-1999 –> 2000-2009	2.0797816	0.9562404	31408.9910	101.80339	1	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5429	1.1321884	16768.8818	55.151339	7.287651	1982-1999 –> 2000-2009	2.0933060	0.9611175	31546.6945	123.07971	3	6
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5429	1.1329430	16776.1158	61.862366	7.309013	1982-1999 –> 2000-2009	2.0946749	0.9617319	31560.7685	141.01461	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5429	1.1608807	17038.6198	13.042354	7.391802	1982-1999 –> 2000-2009	2.1465965	0.9857158	32084.9375	25.95487	5	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5429	1.3644149	18794.6939	523.745191	7.051980	1982-1999 –> 2000-2009	2.4717272	1.1073123	35088.1322	1019.93482	6	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5429	1.3857144	18962.8856	661.609221	7.208644	1982-1999 –> 2000-2009	2.5129033	1.1271890	35446.7605	1077.16132	7	14
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5429	1.3914935	19008.0747	574.872360	7.174846	1982-1999 –> 2000-2009	2.5237509	1.1322574	35539.9728	928.02326	8	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5429	1.4035376	19099.6519	37.661450	6.801827	1982-1999 –> 2000-2009	2.5717585	1.1682209	35964.2492	74.44133	11	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5429	1.4005699	19078.6689	504.530905	6.623352	1982-1999 –> 2000-2009	2.6274822	1.2269123	36469.9625	987.62173	9	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5861	1.0309974	17004.6309	636.320039	6.823947	2000-2009 –> 2010-2019	2.1552141	1.1242167	33696.7910	1022.07429	1	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5861	1.0369695	17072.3357	72.206116	6.891806	2000-2009 –> 2010-2019	2.1605107	1.1235412	33757.9696	115.49758	4	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5861	1.0336219	17034.4328	82.174912	6.941035	2000-2009 –> 2010-2019	2.1658103	1.1321884	33803.3146	137.32625	2	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5861	1.0337994	17036.4453	90.475542	6.944642	2000-2009 –> 2010-2019	2.1667424	1.1329430	33812.5611	152.33791	3	7
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5861	1.0417363	17124.0966	18.767019	6.610603	2000-2009 –> 2010-2019	2.2026170	1.1608807	34162.7164	31.80937	5	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5861	1.3029481	19748.7842	758.445926	8.239849	2000-2009 –> 2010-2019	2.6673630	1.3644149	38543.4781	1282.19112	13	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5861	1.2819639	19558.4630	740.708578	8.084012	2000-2009 –> 2010-2019	2.6825338	1.4005699	38637.1319	1245.23948	8	17
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5861	1.2815881	19555.0256	604.435873	8.189034	2000-2009 –> 2010-2019	2.6857246	1.4041365	38661.3099	1105.92820	7	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5861	1.2815677	19554.8392	694.245138	8.212989	2000-2009 –> 2010-2019	2.6868924	1.4053247	38670.3080	1273.12992	6	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	5861	1.2880377	19611.8694	588.490749	7.967807	2000-2009 –> 2010-2019	2.6907551	1.4027174	38705.1741	957.30005	11	21
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	12018	0.6959099	25405.7148	283.813428	8.813133	1982-1999 –> 2000-2009	1.4686584	0.7727484	52910.7898	406.73383	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	12018	0.8129966	29143.4743	283.209492	8.555110	1982-1999 –> 2000-2009	1.5894817	0.7764850	56762.7581	453.10522	10	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	12018	0.7341394	26691.1288	228.916684	8.667605	1982-1999 –> 2000-2009	1.5916145	0.8574751	56659.4201	338.59170	2	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	12018	0.7784468	28099.6784	146.655139	7.598044	1982-1999 –> 2000-2009	1.6007741	0.8223273	57077.0435	266.29623	3	8
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	12018	0.7800593	28149.4170	16.910152	7.694717	1982-1999 –> 2000-2009	1.6057888	0.8257294	57224.5331	35.44192	4	10
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	12018	0.7800921	28150.4271	16.620810	7.696667	1982-1999 –> 2000-2009	1.6059450	0.8258529	57229.0823	32.67099	5	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	12018	0.8208895	29375.6985	324.360505	8.586567	1982-1999 –> 2000-2009	1.6076835	0.7867940	57307.2481	471.33679	11	14
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	12018	0.7810935	28181.2632	15.874673	7.710060	1982-1999 –> 2000-2009	1.6135782	0.8324847	57449.2825	33.50503	6	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	12018	0.7815992	28194.8176	12.585568	7.698231	1982-1999 –> 2000-2009	1.6145450	0.8329458	57473.9493	23.48177	7	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	12018	0.8318142	29693.4700	274.621557	8.625588	1982-1999 –> 2000-2009	1.6278163	0.7960021	57900.4971	390.62623	12	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	16048	0.6738191	32884.9538	233.592411	5.192359	2000-2009 –> 2010-2019	1.3697290	0.6959099	58290.6686	517.40584	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	16048	0.6937859	33822.2136	154.674451	4.754700	2000-2009 –> 2010-2019	1.4279253	0.7341394	60513.3424	383.59113	3	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	16048	0.6898738	33640.7201	163.187126	4.023603	2000-2009 –> 2010-2019	1.4855778	0.7957040	62267.4281	418.21159	2	10
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	16048	0.7152994	34802.3548	188.026248	5.057343	2000-2009 –> 2010-2019	1.4937462	0.7784468	62902.0333	334.68139	7	10
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	16048	0.7152104	34798.3623	16.765828	5.068554	2000-2009 –> 2010-2019	1.4952697	0.7800593	62947.7793	33.67598	6	10
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	16048	0.7152082	34798.2618	16.765541	5.069358	2000-2009 –> 2010-2019	1.4953003	0.7800921	62948.6889	33.38635	5	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	16048	0.7004063	34125.0374	149.404001	4.325584	2000-2009 –> 2010-2019	1.4988955	0.7984891	62833.7288	377.80582	4	13
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	16048	0.7284078	35385.2121	18.215239	5.050502	2000-2009 –> 2010-2019	1.5095013	0.7810935	63566.4753	34.08991	8	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	16048	0.7345467	35652.5787	12.534732	5.025779	2000-2009 –> 2010-2019	1.5161458	0.7815992	63847.3962	25.12030	9	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	16048	0.7933482	38126.2499	233.677336	8.503931	2000-2009 –> 2010-2019	1.6063448	0.8129966	67269.7242	516.88683	10	20
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6262	1.3322113	21377.1729	279.694432	8.701024	1982-1999 –> 2000-2009	2.3054450	0.9732337	42376.8465	615.36608	14	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6262	1.3137446	21202.3543	75.391332	8.310572	1982-1999 –> 2000-2009	2.3071246	0.9933800	42510.9617	139.54642	1	3
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6262	1.3177531	21240.5099	78.229784	8.179859	1982-1999 –> 2000-2009	2.3125494	0.9947963	42570.5990	151.07354	4	7
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6262	1.3213635	21274.7764	56.265216	8.384367	1982-1999 –> 2000-2009	2.3171442	0.9957807	42619.7783	104.12119	5	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6262	1.3252739	21311.7845	56.768225	8.357062	1982-1999 –> 2000-2009	2.3298870	1.0046131	42789.9361	104.60599	9	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6262	1.3251909	21311.0003	50.463115	8.413756	1982-1999 –> 2000-2009	2.3303658	1.0051748	42797.5805	97.43316	8	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	6262	1.3348563	21400.0134	20.334305	8.488919	1982-1999 –> 2000-2009	2.3325098	0.9976536	42771.3474	35.84550	20	25
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6262	1.3386473	21437.5314	388.771801	9.128419	1982-1999 –> 2000-2009	2.3612571	1.0226098	43183.4007	838.29341	22	30
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	6262	1.3330981	21385.5065	392.315188	8.598127	1982-1999 –> 2000-2009	2.3731375	1.0400394	43386.2029	879.25826	16	25
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6262	1.3139166	21203.9939	190.025249	8.286546	1982-1999 –> 2000-2009	2.3761635	1.0622469	43523.2552	320.40203	2	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6665	1.4220949	23622.3579	79.696023	7.016253	2000-2009 –> 2010-2019	2.7398480	1.3177531	44862.8677	157.92581	12	16
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6665	1.4206922	23609.2027	41.292286	7.038032	2000-2009 –> 2010-2019	2.7458831	1.3251909	44920.2030	91.75540	6	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6665	1.4147471	23553.3048	529.665142	7.154664	2000-2009 –> 2010-2019	2.7472075	1.3324604	44932.8188	860.29379	2	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6665	1.4354466	23746.9258	83.999139	6.698544	2000-2009 –> 2010-2019	2.7491912	1.3137446	44949.2801	159.39047	30	31
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6665	1.4306598	23702.3997	43.244996	6.728786	2000-2009 –> 2010-2019	2.7520233	1.3213635	44977.1761	99.51021	24	29
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6665	1.4214636	23616.4393	511.504736	7.037169	2000-2009 –> 2010-2019	2.7601109	1.3386473	45053.9707	900.27654	9	31
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	6665	1.4214828	23614.6186	28.893936	7.047925	2000-2009 –> 2010-2019	2.7602026	1.3387199	45050.8288	78.03272	10	34
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6665	1.4325168	23719.6909	428.359166	6.694481	2000-2009 –> 2010-2019	2.7647281	1.3322113	45096.8639	708.05360	26	40
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6665	1.4400262	23789.3854	43.878282	6.790019	2000-2009 –> 2010-2019	2.7653001	1.3252739	45101.1699	100.64651	35	44
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6665	1.4325320	23717.8324	32.212842	6.687602	2000-2009 –> 2010-2019	2.7733655	1.3408335	45173.8009	83.11630	27	53

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	3.574805	1024.875
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	5.805423	1153.050
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	8.558505	6488.882
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	7.863261	4775.117
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	6.316943	9707.191
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.278909	7988.390
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	4.015199	13584.175
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	4.836201	12615.720
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	4.025234	19009.086
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	4.615681	17671.123
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.642795	36918.546
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	6.955207	33940.279
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	3.945594	68115.250
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	4.664293	57680.090
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	2.080714	17039.199
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	2.637015	16160.951
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	2.956612	19360.573
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	3.576471	18945.578
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	6.125646	35704.896
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	6.508099	27883.356
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	1.062686	5784.803
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	1.353994	6061.853
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	1.012701	8467.927
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	1.203373	8423.210
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.303663	20264.308
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.414469	17614.006
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.352005	33818.141
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.478784	30011.552
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	11.662315	33319.501
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	11.500421	44944.445
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	8.177284	34961.488
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	8.071584	34265.387
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	7.859181	30875.942
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	7.789510	30557.436
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	6.924508	40735.857
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	7.118021	40393.801
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	5.765481	46278.362
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	5.841650	48529.894
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	5.455329	60965.256
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.134587	64112.534
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	5.174213	67634.087
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	6.139624	72373.737
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	4.076908	23605.787
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	4.660929	24868.136
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.535498	25528.441
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	3.790120	27449.600
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.100379	26509.070
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.341056	32487.445
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.329873	14554.266
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.727894	17321.058
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.319987	33649.725
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.426416	36245.075
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.592588	56799.460
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.489844	62738.727
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	2.334558	42852.991
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.755786	45011.898

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

rm(max_rmse)

6.2.2 Best models

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

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

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
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	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	6	4	6	5	10	9	8
(26,26.5]	7	6	6	7	10	6	8
(26.5,26.75]	7	5	8	5	6	9	8
(26.75,27]	7	4	7	7	3	10	9
(27,27.25]	7	5	7	6	7	10	7
(27.25,27.5]	7	10	5	6	4	5	10
(27.5,27.75]	5	3	4	9	10	6	9
(27.75,27.85]	6	3	5	5	10	8	8
(27.85,27.95]	6	2	5	6	10	7	9
(27.95,28.05]	7	2	7	6	6	6	8
(28.05,28.1]	4	2	4	8	10	5	10
(28.1,28.15]	6	2	6	6	8	5	10
(28.15,28.2]	7	9	3	5	6	5	9
(28.2, Inf]	9	10	3	4	10	3	5
total	91.00	67.00	76.00	85.00	110.00	94.00	118.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	5	7	10	6	6	9	6
(26,26.5]	7	6	6	7	10	6	8
(26.5,26.75]	7	7	6	8	5	6	9
(26.75,27]	8	5	8	5	5	10	7
(27,27.25]	8	7	5	6	6	10	7
(27.25,27.5]	8	10	4	5	6	8	7
(27.5,27.75]	7	6	7	6	10	6	7
(27.75,27.85]	5	4	4	6	10	10	6
(27.85,27.95]	7	4	4	5	10	9	7
(27.95,28.05]	6	1	6	8	8	6	8
(28.05,28.1]	5	3	4	7	10	6	10
(28.1,28.15]	5	3	4	7	10	6	10
(28.15,28.2]	7	10	2	5	5	4	9
(28.2, Inf]	9	10	3	4	10	3	5
total	94.00	83.00	73.00	85.00	111.00	99.00	106.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	4	8	7	10	4	7
(26,26.5]	8	6	7	7	7	7	8
(26.5,26.75]	7	6	7	7	7	7	8
(26.75,27]	7	10	6	7	5	4	8
(27,27.25]	8	10	7	7	3	4	8
(27.25,27.5]	6	10	6	6	5	6	9
(27.5,27.75]	5	5	5	8	10	10	4
(27.75,27.85]	7	4	7	6	10	4	9
(27.85,27.95]	7	4	6	6	10	4	10
(27.95,28.05]	5	3	5	8	10	5	10
(28.05,28.1]	6	4	5	7	8	6	10
(28.1,28.2]	5	6	5	7	6	9	10
(28.2,28.3]	5	6	6	7	7	10	8
(28.3, Inf]	8	5	5	6	10	8	7
total	92.00	83.00	85.00	96.00	108.00	88.00	116.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	5	7	7	10	5	7
(26,26.5]	8	6	8	7	6	8	7
(26.5,26.75]	7	5	7	7	4	10	8
(26.75,27]	6	10	6	8	5	5	8
(27,27.25]	7	10	7	7	4	5	8
(27.25,27.5]	7	10	5	6	5	5	9
(27.5,27.75]	5	5	6	6	10	10	6
(27.75,27.85]	7	6	7	6	7	6	10
(27.85,27.95]	8	5	5	5	10	4	10
(27.95,28.05]	6	3	4	6	10	6	10
(28.05,28.1]	5	2	5	7	8	7	10
(28.1,28.2]	6	5	6	6	9	6	10
(28.2,28.3]	4	6	7	5	9	10	7
(28.3, Inf]	6	5	4	8	10	10	5
total	90.00	83.00	84.00	91.00	107.00	97.00	115.00

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
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
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
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72c2f2e	Donghe-Zhu	2021-06-15
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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