eMLR - model fitting

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• Past versions

Last updated: 2021-07-04

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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

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R Markdown file: up-to-date

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

Environment: empty

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

Seed: set.seed(20200707)

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

Session information: recorded

Great job! Recording the operating system, R version, and package versions is critical for reproducibility.

Cache: none

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

File paths: relative

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Repository version: 5693d9f

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

The results in this page were generated with repository version 5693d9f. 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:
    Ignored:    .Rhistory
    Ignored:    .Rproj.user/

Unstaged changes:
    Modified:   data/auxillary/params_local.rds

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.

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

File	Version	Author	Date	Message
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html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
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html	fa85b93	jens-daniel-mueller	2021-01-06	Build site.
html	e5cb81a	Donghe-Zhu	2021-01-05	Build site.
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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, aou, nitrate, 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_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, "oxygen") &
#       str_detect(lm_coeff_filter, "phosphate")
#   )

# 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"))

# lm_rm_o2 <- 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")
#   )

# 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)

# 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 + temp + aou + silicate + phosphate	140	3.6265697	772.02321	28.170142	10.0149831	1982-1999 –> 2000-2012	5.332778	1.7062087	1051.6601	50.386272	2	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	140	3.8186112	786.47109	65.314344	12.1059671	1982-1999 –> 2000-2012	5.504476	1.6858651	1064.4767	81.850156	10	13
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	140	3.8741141	790.51155	63.271534	10.1055894	1982-1999 –> 2000-2012	5.553535	1.6794207	1067.9962	74.275609	12	13
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	140	3.7374228	780.45375	25.704634	11.7039854	1982-1999 –> 2000-2012	5.586994	1.8495710	1071.0631	95.887351	8	24
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	140	3.8572512	789.29014	12.674404	13.2754640	1982-1999 –> 2000-2012	5.715328	1.8580764	1080.5235	99.066498	11	28
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	140	4.0402024	802.26533	66.927172	9.0161985	1982-1999 –> 2000-2012	5.720905	1.6807025	1079.8538	79.817376	14	16
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	140	4.0423027	802.41085	99.610770	8.9345569	1982-1999 –> 2000-2012	5.730219	1.6879164	1080.5818	111.496547	15	19
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	140	4.2000427	813.12930	15.248103	13.5412523	1982-1999 –> 2000-2012	5.914686	1.7146436	1093.4369	41.152021	30	37
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	140	4.1850808	812.13007	52.864998	10.3961298	1982-1999 –> 2000-2012	5.998990	1.8139088	1100.0915	242.395186	28	40
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	140	4.0423219	800.41218	53.913922	8.9457096	1982-1999 –> 2000-2012	5.999668	1.9573457	1096.7240	62.068533	16	37
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	51	0.3752271	58.74890	37.985442	1.0814134	2000-2012 –> 2010-2019	4.017549	3.6423220	831.9857	101.711511	5	10
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	51	0.4585669	79.20752	37.579134	1.1603831	2000-2012 –> 2010-2019	4.085136	3.6265697	851.2307	65.749276	13	15
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	51	0.4665504	80.96802	112.344902	1.1999270	2000-2012 –> 2010-2019	4.203973	3.7374228	861.4218	138.049536	16	24
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	51	0.4577744	79.03110	12.969790	1.1530624	2000-2012 –> 2010-2019	4.331888	3.8741141	869.5427	76.241324	12	24
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	51	0.3613130	54.89465	18.281666	0.9859564	2000-2012 –> 2010-2019	4.401515	4.0402024	857.1600	85.208838	1	15
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	51	0.6149898	109.14446	71.959254	1.6142810	2000-2012 –> 2010-2019	4.433601	3.8186112	895.6156	137.273598	19	29
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	51	0.3793781	59.87110	73.279796	1.0731919	2000-2012 –> 2010-2019	4.454956	4.0755782	864.5774	144.043002	6	25
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	51	0.3797360	57.96728	12.945713	1.0770274	2000-2012 –> 2010-2019	4.460155	4.0804191	861.0060	48.755969	7	28
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	51	0.6186572	109.75092	226.132594	1.6301901	2000-2012 –> 2010-2019	4.475908	3.8572512	899.0411	238.806999	25	36
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	51	0.4609553	79.73739	15.221059	1.1668857	2000-2012 –> 2010-2019	4.503258	4.0423027	882.1482	114.831829	14	29
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	396	4.1730835	2269.29424	193.524090	11.3055726	1982-1999 –> 2000-2012	7.403559	3.2304753	4382.4642	484.216359	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	396	4.1814004	2270.87111	185.610157	11.0001096	1982-1999 –> 2000-2012	7.463021	3.2816205	4396.7646	481.514149	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	396	4.5027485	2329.51220	11.297246	13.6819861	1982-1999 –> 2000-2012	7.827197	3.3244481	4465.9084	25.638295	6	9
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	396	4.4507945	2320.32075	10.944848	9.7546933	1982-1999 –> 2000-2012	7.830107	3.3793122	4469.9754	27.920297	3	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	396	4.5070033	2330.26024	12.130643	9.7593963	1982-1999 –> 2000-2012	7.895140	3.3881366	4482.0273	22.971577	7	15
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	396	4.6067712	2347.60088	12.620095	15.3359198	1982-1999 –> 2000-2012	7.947903	3.3411323	4488.0520	23.507347	13	17
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	396	4.5733406	2341.83251	11.842040	10.2526730	1982-1999 –> 2000-2012	7.982543	3.4092025	4498.6202	25.753769	10	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	396	4.6402162	2353.33000	11.816812	15.5341992	1982-1999 –> 2000-2012	7.989146	3.3489297	4495.6693	22.802412	14	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	396	4.8888948	2394.67660	13.653814	15.1388060	1982-1999 –> 2000-2012	8.253416	3.3645208	4540.7781	24.898080	21	27
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	396	4.4702281	2323.77136	38.812436	15.1093038	1982-1999 –> 2000-2012	8.374572	3.9043433	4590.4042	173.528584	4	25
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	375	3.5839004	1981.63488	264.949618	12.4550455	2000-2012 –> 2010-2019	7.756984	4.1730835	4250.9291	458.473708	3	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	375	3.7456137	2013.85252	265.066340	12.7175334	2000-2012 –> 2010-2019	7.927014	4.1814004	4284.7236	450.676497	7	9
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	375	3.6045968	1985.83836	11.237819	12.4631453	2000-2012 –> 2010-2019	8.107345	4.5027485	4315.3506	22.535065	4	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	375	3.7638321	2017.39459	11.024846	12.7075892	2000-2012 –> 2010-2019	8.214627	4.4507945	4337.7153	21.969694	8	11
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	375	3.6079164	1986.51035	9.807152	12.4588395	2000-2012 –> 2010-2019	8.214688	4.6067712	4334.1112	22.427247	5	18
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	375	3.6099553	1986.92276	8.989051	12.4435253	2000-2012 –> 2010-2019	8.250172	4.6402162	4340.2528	20.805863	6	20
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	375	3.7650480	2017.63037	9.787882	12.7215809	2000-2012 –> 2010-2019	8.272051	4.5070033	4347.8906	21.918525	9	16
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	375	3.7699106	2018.57257	9.203129	12.7214272	2000-2012 –> 2010-2019	8.343251	4.5733406	4360.4051	21.045169	10	20
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	375	3.9737977	2057.02237	174.259847	17.9721913	2000-2012 –> 2010-2019	8.444026	4.4702281	4380.7937	213.072283	23	27
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	375	3.5601143	1976.77376	9.982069	13.2405859	2000-2012 –> 2010-2019	8.449009	4.8888948	4371.4504	23.635883	2	23
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	612	3.1248504	3145.38974	79.101916	14.9327624	1982-1999 –> 2000-2012	5.833577	2.7087265	5792.1944	159.878737	8	10
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	612	3.1052173	3137.67521	73.969062	15.3395760	1982-1999 –> 2000-2012	5.845394	2.7401763	5797.0625	153.360922	6	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	612	2.9966232	3094.10370	43.044502	15.8354945	1982-1999 –> 2000-2012	5.857260	2.8606372	5800.3851	115.287869	1	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	612	3.1072450	3138.47422	83.126533	15.5935696	1982-1999 –> 2000-2012	5.878052	2.7708069	5809.9783	165.165522	7	12
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	612	2.9974629	3094.44665	43.011691	16.5095936	1982-1999 –> 2000-2012	5.895252	2.8977892	5814.7931	115.478830	2	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	612	3.0074476	3098.51704	42.972026	16.7153826	1982-1999 –> 2000-2012	5.918191	2.9107434	5823.7253	115.791156	3	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	612	3.0379473	3110.86760	82.564807	15.7105060	1982-1999 –> 2000-2012	5.928413	2.8904654	5828.4557	168.834906	4	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	612	3.2740746	3202.48793	86.116386	13.7766975	1982-1999 –> 2000-2012	5.940272	2.6661974	5832.0430	205.672375	15	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	612	3.0387248	3109.18083	9.254214	15.8344301	1982-1999 –> 2000-2012	5.997781	2.9590566	5850.3327	25.081450	5	23
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	612	3.1462759	3151.75343	8.877922	15.5532664	1982-1999 –> 2000-2012	6.074071	2.9277948	5881.3284	24.199933	11	28
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	483	4.3133972	2704.54050	94.822345	10.7932731	2000-2012 –> 2010-2019	7.418615	3.1052173	5842.2157	168.791406	8	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	483	4.4260596	2728.62266	41.994693	11.3334966	2000-2012 –> 2010-2019	7.422683	2.9966232	5822.7264	85.039195	14	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	483	4.2984886	2701.30668	95.458993	10.7526333	2000-2012 –> 2010-2019	7.423339	3.1248504	5846.6964	174.560909	6	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	483	4.3299618	2708.12043	96.189594	10.9398228	2000-2012 –> 2010-2019	7.437207	3.1072450	5846.5946	179.316127	10	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	483	4.4529419	2734.27827	42.277204	11.4442194	2000-2012 –> 2010-2019	7.450405	2.9974629	5828.7249	85.288895	16	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	483	4.4572132	2735.17375	42.334994	11.4504476	2000-2012 –> 2010-2019	7.464661	3.0074476	5833.6908	85.307019	17	20
Atlantic	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	483	4.2598851	2692.88079	316.961526	10.6503314	2000-2012 –> 2010-2019	7.533960	3.2740746	5895.3687	403.077913	4	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	483	4.1542191	2669.42084	46.745476	11.6765676	2000-2012 –> 2010-2019	7.562021	3.4078017	5920.9081	91.359181	3	24
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	483	4.1237136	2662.53694	46.965614	11.4453966	2000-2012 –> 2010-2019	7.592644	3.4689302	5935.7855	91.503880	2	25
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	483	4.1128960	2660.08359	46.542943	11.3916824	2000-2012 –> 2010-2019	7.626018	3.5131217	5948.8265	91.206985	1	25
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1055	2.4154102	4868.70419	182.631449	6.8273550	1982-1999 –> 2000-2012	4.029145	1.6137343	9011.6413	360.245528	4	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1055	2.3436834	4805.09749	90.227559	6.5183876	1982-1999 –> 2000-2012	4.074446	1.7307627	9100.3791	164.038372	1	4
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1055	2.3492863	4810.13574	87.098105	6.4671893	1982-1999 –> 2000-2012	4.140353	1.7910665	9179.9432	160.814745	2	7
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1055	2.3753307	4833.39869	93.598276	6.4067649	1982-1999 –> 2000-2012	4.204778	1.8294476	9249.3435	167.473290	3	11
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1055	2.5380632	4973.21701	48.240985	11.7773645	1982-1999 –> 2000-2012	4.293829	1.7557659	9299.7090	96.211703	5	9
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1055	2.6510056	5063.08165	76.189466	12.7902357	1982-1999 –> 2000-2012	4.345625	1.6946197	9310.4413	216.546218	9	11
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1055	2.5910442	5016.80897	48.232036	11.7872346	1982-1999 –> 2000-2012	4.412476	1.8214314	9423.1982	96.204484	6	13
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1055	2.6154090	5036.55756	48.235485	11.7544358	1982-1999 –> 2000-2012	4.464568	1.8491588	9475.8220	96.208151	7	16
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	1055	2.6759936	5082.87707	18.447678	12.7690408	1982-1999 –> 2000-2012	4.487354	1.8113603	9475.2013	49.068170	10	16
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1055	2.7233860	5119.91861	3.769833	12.7731351	1982-1999 –> 2000-2012	4.597858	1.8744718	9586.7683	9.580577	12	22
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	914	2.5320013	4118.21406	88.411329	8.1010841	2000-2012 –> 2010-2019	4.875685	2.3436834	8923.3116	178.638888	2	3
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	914	2.5426601	4125.55705	87.515593	8.1517321	2000-2012 –> 2010-2019	4.891946	2.3492863	8935.6928	174.613698	3	5
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	914	2.5174687	4108.15240	252.167463	12.4549683	2000-2012 –> 2010-2019	4.932879	2.4154102	8976.8566	434.798912	1	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	914	2.5700225	4144.26734	93.059840	8.3112704	2000-2012 –> 2010-2019	4.945353	2.3753307	8977.6660	186.658116	4	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	914	2.7369076	4254.24109	100.140409	10.4244913	2000-2012 –> 2010-2019	5.374163	2.6372558	9308.3505	204.798247	5	13
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	914	2.9535722	4387.41540	33.294258	13.4785577	2000-2012 –> 2010-2019	5.491635	2.5380632	9360.6324	81.535244	7	12
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	914	2.9815576	4403.89990	33.378486	13.5718828	2000-2012 –> 2010-2019	5.572602	2.5910442	9420.7089	81.610522	8	14
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	914	2.9919828	4410.00122	33.388002	13.5832394	2000-2012 –> 2010-2019	5.607392	2.6154090	9446.5588	81.623487	10	17
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	914	2.9870663	4405.12653	23.398453	13.3122624	2000-2012 –> 2010-2019	5.706343	2.7192766	9521.8588	42.562198	9	20
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	914	3.1224047	4482.58337	179.177019	13.9689997	2000-2012 –> 2010-2019	5.773410	2.6510056	9545.6650	255.366485	12	21
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1437	2.4686776	6689.21315	56.933131	11.4124629	1982-1999 –> 2000-2012	3.844743	1.3760657	11281.5451	137.635979	7	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1437	2.3122688	6501.10008	167.929802	8.5603581	1982-1999 –> 2000-2012	3.848813	1.5365439	11383.9812	328.694603	2	9
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1437	2.3818360	6586.29235	128.408127	7.6642907	1982-1999 –> 2000-2012	3.850618	1.4687825	11350.3752	272.067558	5	9
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1437	2.3091623	6497.23634	130.363282	8.8441676	1982-1999 –> 2000-2012	3.860252	1.5510900	11404.9355	275.426666	1	10
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1437	2.3700284	6572.00951	122.917856	7.8393399	1982-1999 –> 2000-2012	3.869013	1.4989843	11389.7045	264.748443	4	10
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1437	2.4951420	6719.85868	40.432465	11.7142368	1982-1999 –> 2000-2012	3.932294	1.4371515	11426.5973	60.320533	9	11
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1437	2.5093979	6736.23252	40.498955	11.7968980	1982-1999 –> 2000-2012	3.968047	1.4586491	11482.0798	60.381789	11	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1437	2.4961744	6719.04766	55.724083	10.8184059	1982-1999 –> 2000-2012	4.038763	1.5425888	11610.2708	130.092455	10	18
Atlantic	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1437	2.6958463	6942.21013	325.239823	7.5010366	1982-1999 –> 2000-2012	4.168844	1.4729980	11713.8419	664.972411	13	18
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1437	2.7046392	6951.56885	40.000917	14.7449603	1982-1999 –> 2000-2012	4.407130	1.7024906	12104.5839	59.751244	14	24
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1262	2.0657903	5220.72802	246.881027	9.5480102	2000-2012 –> 2010-2019	4.378059	2.3122688	11721.8281	414.810829	1	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1262	2.1787086	5349.94487	112.010453	8.8321883	2000-2012 –> 2010-2019	4.499046	2.3203377	11861.0566	183.364459	2	5
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1262	2.2488787	5426.91097	214.621945	9.8577249	2000-2012 –> 2010-2019	4.558041	2.3091623	11924.1473	344.985227	4	5
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1262	2.1795798	5350.91557	252.161713	10.0464106	2000-2012 –> 2010-2019	4.669852	2.4902723	12065.1597	426.582605	3	12
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1262	2.3425429	5525.98631	184.489181	8.3563115	2000-2012 –> 2010-2019	4.712571	2.3700284	12097.9958	307.407037	8	12
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1262	2.3430142	5526.47472	200.074016	8.3220954	2000-2012 –> 2010-2019	4.724850	2.3818360	12112.7671	328.482142	9	14
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1262	2.3432592	5524.72867	111.412475	8.3259464	2000-2012 –> 2010-2019	4.739275	2.3960160	12126.0803	180.049779	10	16
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1262	2.3195359	5502.02214	76.582270	11.7031438	2000-2012 –> 2010-2019	4.788214	2.4686776	12191.2353	133.515401	5	12
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1262	2.3235096	5506.17807	642.581271	11.9719001	2000-2012 –> 2010-2019	4.796294	2.4727840	12200.1679	1174.824640	6	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1262	2.3235152	5504.18390	68.472257	11.9798173	2000-2012 –> 2010-2019	4.819690	2.4961744	12223.2316	124.196340	7	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2850	3.2564015	14831.49932	245.360928	13.4251442	1982-1999 –> 2000-2012	5.107095	1.8506940	22857.3573	700.758672	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2850	3.3157381	14934.42705	48.567618	10.6926007	1982-1999 –> 2000-2012	5.400512	2.0847742	23429.3002	110.282206	3	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2850	3.5014702	15245.09232	180.395829	11.1984692	1982-1999 –> 2000-2012	5.463636	1.9621656	23501.2763	457.873372	9	11
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2850	3.2654201	14847.26362	284.184536	13.5994961	1982-1999 –> 2000-2012	5.513261	2.2478410	23638.7061	798.689735	2	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2850	3.5031568	15247.83733	240.207151	12.0920084	1982-1999 –> 2000-2012	5.515098	2.0119408	23602.6723	680.789437	10	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2850	3.5089914	15255.32290	43.898075	11.6858281	1982-1999 –> 2000-2012	5.593892	2.0849007	23748.4350	105.554247	11	16
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2850	3.3484321	14990.35518	212.427067	12.5520844	1982-1999 –> 2000-2012	5.597742	2.2493100	23784.3704	529.932462	5	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2850	3.4820553	15213.39921	270.559502	12.2539156	1982-1999 –> 2000-2012	5.776209	2.2941534	24085.1522	720.631138	8	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2850	3.5613667	15339.77258	227.857227	15.4461187	1982-1999 –> 2000-2012	5.855332	2.2939650	24209.2021	663.331913	14	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2850	3.3363303	14969.71707	319.631128	11.2760235	1982-1999 –> 2000-2012	5.968602	2.6322719	24382.8797	879.405422	4	25
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2050	3.4669644	10513.78757	574.314390	10.7909821	2000-2012 –> 2010-2019	6.803295	3.3363303	25483.5046	893.945519	4	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2050	3.4712102	10518.61456	371.571461	11.4403703	2000-2012 –> 2010-2019	6.841906	3.3706962	25546.7443	552.730835	5	11
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2050	3.5776799	10637.76761	53.849499	10.1804462	2000-2012 –> 2010-2019	6.893418	3.3157381	25572.1947	102.417117	11	14
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2050	3.6657465	10733.67578	542.572994	12.5967901	2000-2012 –> 2010-2019	6.931167	3.2654201	25580.9394	826.757530	16	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2050	3.4392069	10482.08369	49.290847	13.0164476	2000-2012 –> 2010-2019	6.969987	3.5307802	25774.6908	100.649249	1	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2050	3.5972704	10657.30513	53.515075	10.4121785	2000-2012 –> 2010-2019	6.993523	3.3962529	25726.4894	97.417442	14	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2050	3.7373332	10809.95392	388.021070	9.5644976	2000-2012 –> 2010-2019	6.993735	3.2564015	25641.4532	633.381998	24	25
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2050	3.6693142	10737.51244	385.176906	12.5719824	2000-2012 –> 2010-2019	7.017746	3.3484321	25727.8676	597.603974	17	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2050	3.4580469	10503.62999	49.603182	13.4354820	2000-2012 –> 2010-2019	7.060209	3.6021620	25910.3247	100.952793	2	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2050	3.4589288	10504.63562	49.145104	13.3875400	2000-2012 –> 2010-2019	7.061075	3.6021460	25911.3050	100.145284	3	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5175	2.3780726	23666.11886	19.108388	19.6948731	1982-1999 –> 2000-2012	4.078974	1.7009015	38138.1376	35.469324	1	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5175	2.3783523	23667.33601	18.533737	19.4990860	1982-1999 –> 2000-2012	4.079070	1.7007180	38138.5550	34.569478	2	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5175	2.3869410	23704.64460	18.605761	19.2420956	1982-1999 –> 2000-2012	4.088461	1.7015198	38179.3579	34.131879	3	6
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5175	2.4050434	23782.84221	28.506872	17.5147623	1982-1999 –> 2000-2012	4.119702	1.7146584	38314.5841	63.013864	4	9
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5175	2.4104113	23805.91674	469.339255	17.3814417	1982-1999 –> 2000-2012	4.179456	1.7690451	38569.1683	1113.593117	5	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5175	2.5469706	24374.27701	18.494099	22.7492948	1982-1999 –> 2000-2012	4.252431	1.7054602	38864.1399	33.752121	13	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5175	2.4269547	23874.70935	17.379535	18.1983011	1982-1999 –> 2000-2012	4.257102	1.8301472	38887.7146	31.886642	7	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5175	2.4271915	23875.71919	17.278372	18.4527010	1982-1999 –> 2000-2012	4.258567	1.8313758	38893.6998	31.320496	8	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	5175	2.4518186	23980.20480	17.252785	16.1192263	1982-1999 –> 2000-2012	4.281535	1.8297160	38991.4629	31.135508	10	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5175	2.4492960	23969.55020	17.786194	17.6933498	1982-1999 –> 2000-2012	4.287940	1.8386443	39016.8979	32.120534	9	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4150	2.0506033	17161.87036	664.312704	11.9451148	2000-2012 –> 2010-2019	4.436928	2.3863251	40863.8440	1523.852230	1	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4150	2.1124023	17400.11739	611.791146	11.0281210	2000-2012 –> 2010-2019	4.515776	2.4033735	41175.7708	1317.011683	2	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4150	2.1431515	17514.07680	573.720886	11.2105193	2000-2012 –> 2010-2019	4.549063	2.4059114	41298.6536	1233.220603	3	11
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4150	2.1890284	17686.02821	22.656325	11.6748444	2000-2012 –> 2010-2019	4.567101	2.3780726	41352.1471	41.764713	5	6
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4150	2.1911351	17693.74677	22.834058	11.6137461	2000-2012 –> 2010-2019	4.569487	2.3783523	41361.0828	41.367795	6	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4150	2.1877794	17681.44837	694.181599	11.4367180	2000-2012 –> 2010-2019	4.584938	2.3971588	41430.3035	1521.824270	4	9
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4150	2.2205069	17800.59260	22.712901	11.7734821	2000-2012 –> 2010-2019	4.607448	2.3869410	41505.2372	41.318662	8	12
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4150	2.2385263	17865.44455	693.019409	10.6818809	2000-2012 –> 2010-2019	4.648938	2.4104113	41671.3613	1162.358664	9	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4150	2.2506712	17908.86005	33.901309	10.6938082	2000-2012 –> 2010-2019	4.655715	2.4050434	41691.7023	62.408181	10	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	4150	2.2526097	17913.76825	33.712016	10.8214604	2000-2012 –> 2010-2019	4.664984	2.4123741	41726.1099	61.836443	11	22
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2017	1.2395918	6604.42931	27.031832	13.6169558	1982-1999 –> 2000-2012	2.072977	0.8333849	9781.8538	61.024414	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2017	1.2874718	6757.31094	31.673358	13.6990879	1982-1999 –> 2000-2012	2.170707	0.8832352	10083.3448	60.775293	3	5
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2017	1.2901852	6765.80370	32.087438	13.7608059	1982-1999 –> 2000-2012	2.174603	0.8844183	10095.2617	60.462680	4	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2017	1.2903166	6766.21472	29.911532	13.7255811	1982-1999 –> 2000-2012	2.174812	0.8844955	10095.8961	56.208777	5	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	2017	1.2690575	6697.19753	20.985940	13.5044574	1982-1999 –> 2000-2012	2.223563	0.9545051	10219.7359	52.689516	2	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2017	1.3230960	6865.41508	28.556650	14.2406629	1982-1999 –> 2000-2012	2.230745	0.9076492	10259.1964	53.594371	8	13
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2017	1.3141429	6840.02513	26.437967	14.4423222	1982-1999 –> 2000-2012	2.249236	0.9350934	10312.0053	56.721247	6	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2017	1.3185032	6851.38754	18.104657	14.3862050	1982-1999 –> 2000-2012	2.300091	0.9815877	10445.4945	46.773268	7	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2017	1.7763496	8053.77500	26.541916	11.5094673	1982-1999 –> 2000-2012	2.818062	1.0417122	11799.9541	50.596122	13	22
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2017	1.5121638	7404.22486	17.434477	13.4611617	1982-1999 –> 2000-2012	2.906285	1.3941212	11895.8015	39.068917	9	27
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1523	1.1634439	4627.60909	27.844763	5.2357676	2000-2012 –> 2010-2019	2.403036	1.2395918	11232.0384	54.876595	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1523	1.2062883	4731.85785	19.561332	4.8626610	2000-2012 –> 2010-2019	2.475346	1.2690575	11429.0554	40.547272	2	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1523	1.2117112	4747.03607	32.285837	5.3722512	2000-2012 –> 2010-2019	2.499183	1.2874718	11504.3470	63.959196	3	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1523	1.2143773	4753.49332	30.764920	5.3748454	2000-2012 –> 2010-2019	2.504694	1.2903166	11519.7080	60.676452	4	9
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1523	1.2166982	4759.10296	32.489588	5.3946031	2000-2012 –> 2010-2019	2.506883	1.2901852	11524.9067	64.577026	5	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1523	1.2555704	4849.50086	29.317266	5.2326487	2000-2012 –> 2010-2019	2.578667	1.3230960	11714.9159	57.873916	6	14
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1523	1.2836362	4916.45061	27.397827	5.8940545	2000-2012 –> 2010-2019	2.597779	1.3141429	11756.4757	53.835794	7	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1523	1.2987865	4948.92387	17.357723	5.6499892	2000-2012 –> 2010-2019	2.617290	1.3185032	11800.3114	35.462379	8	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1523	1.4732154	5319.16183	16.754720	6.8374946	2000-2012 –> 2010-2019	2.986939	1.5137239	12727.5464	36.292782	9	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1523	1.4772831	5327.26260	15.532899	6.9545152	2000-2012 –> 2010-2019	2.989447	1.5121638	12731.4875	32.967376	10	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2072	2.6111637	9871.47587	29.615120	25.2701254	1982-1999 –> 2000-2012	3.682045	1.0708815	14118.6752	63.079013	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2072	2.6416321	9919.55028	49.150920	25.3552479	1982-1999 –> 2000-2012	3.756330	1.1146974	14280.8765	97.089349	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2072	2.6489885	9931.07435	29.186708	25.3952515	1982-1999 –> 2000-2012	3.764926	1.1159375	14295.5651	53.520375	3	6
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2072	2.6687646	9961.89660	46.733660	25.5425909	1982-1999 –> 2000-2012	3.787397	1.1186329	14333.2530	93.292581	5	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2072	2.7574068	10095.30184	22.101796	25.9559793	1982-1999 –> 2000-2012	3.882614	1.1252072	14481.3356	45.487962	10	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	2072	2.6531490	9935.57777	29.443004	24.7620850	1982-1999 –> 2000-2012	3.893650	1.2405012	14599.2339	59.912018	4	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	2072	2.6859799	9986.54235	23.296695	24.9395843	1982-1999 –> 2000-2012	3.913735	1.2277552	14620.8048	42.608348	6	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2072	2.7242330	10045.14382	49.055821	25.0033325	1982-1999 –> 2000-2012	4.014578	1.2903453	14820.9163	91.350359	8	17
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2072	2.7391171	10067.72339	25.494647	25.0429796	1982-1999 –> 2000-2012	4.033866	1.2947484	14853.1909	46.518667	9	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2072	2.8155240	10183.73619	25.126965	26.0105676	1982-1999 –> 2000-2012	4.070214	1.2546895	14881.7590	53.880662	13	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1500	1.6535613	5552.82887	27.398644	11.7493965	2000-2012 –> 2010-2019	4.264725	2.6111637	15424.3047	57.013763	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1500	1.7054788	5641.92478	51.171551	11.7898650	2000-2012 –> 2010-2019	4.347111	2.6416321	15561.4751	100.322470	2	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1500	1.7118548	5652.67902	30.176246	11.8517187	2000-2012 –> 2010-2019	4.360843	2.6489885	15583.7534	59.362954	3	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1500	1.7182739	5663.46575	48.138993	11.8919030	2000-2012 –> 2010-2019	4.387039	2.6687646	15625.3624	94.872653	4	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	1500	1.8168584	5822.24860	25.033831	11.6169497	2000-2012 –> 2010-2019	4.470007	2.6531490	15757.8264	54.476835	6	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1500	1.7748887	5754.89296	25.901589	12.7975898	2000-2012 –> 2010-2019	4.532296	2.7574068	15850.1948	48.003385	5	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1500	2.0378574	6153.07367	851.704519	18.2637659	2000-2012 –> 2010-2019	4.669079	2.6312219	16054.2609	1785.244688	10	12
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1500	1.8829734	5927.26074	26.970317	11.9842529	2000-2012 –> 2010-2019	4.698497	2.8155240	16110.9969	52.097282	7	22
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1500	1.9746605	6064.28350	589.232101	12.7862944	2000-2012 –> 2010-2019	4.777054	2.8023938	16228.6489	1140.415444	8	21
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	1500	2.0966945	6235.10437	27.366934	13.2577103	2000-2012 –> 2010-2019	4.782674	2.6859799	16221.6467	50.663629	11	18
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2321	4.0410650	13083.30405	92.981041	19.7231307	1982-1999 –> 2000-2012	7.316311	3.2752456	21997.1161	164.391079	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2321	4.0738135	13120.77084	33.310841	19.6945784	1982-1999 –> 2000-2012	7.471960	3.3981464	22160.4189	69.558840	2	9
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2321	4.0762058	13123.49601	35.053819	19.5064168	1982-1999 –> 2000-2012	7.473832	3.3976258	22162.6207	58.041743	4	9
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2321	4.0761901	13123.47819	108.219774	19.5058772	1982-1999 –> 2000-2012	7.473874	3.3976843	22162.6617	187.499582	3	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2321	4.1417296	13195.52147	89.560172	19.4298890	1982-1999 –> 2000-2012	7.476563	3.3348329	22168.9230	153.732971	9	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	2321	4.0979272	13146.16684	27.401426	19.1977827	1982-1999 –> 2000-2012	7.545624	3.4476971	22233.2663	44.990997	6	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2321	4.0762375	13121.53219	23.078536	19.5135385	1982-1999 –> 2000-2012	7.562981	3.4867433	22247.1014	43.713510	5	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2321	4.1072607	13156.72749	31.436093	18.9397391	1982-1999 –> 2000-2012	7.563314	3.4560532	22252.0962	51.775197	8	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2321	4.1062176	13155.54840	94.802838	18.9703577	1982-1999 –> 2000-2012	7.563549	3.4573319	22252.1808	172.189815	7	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2321	4.2466042	13311.60009	79.080395	21.4210030	1982-1999 –> 2000-2012	7.588228	3.3416237	22291.9506	134.750113	11	14
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1784	3.4670598	9161.47540	109.067442	19.0650150	2000-2012 –> 2010-2019	7.508125	4.0410650	22244.7795	202.048484	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1784	3.4781245	9172.42344	40.202193	19.8910900	2000-2012 –> 2010-2019	7.551938	4.0738135	22293.1943	73.513034	2	4
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1784	3.4892332	9183.38012	44.676952	19.8603588	2000-2012 –> 2010-2019	7.565439	4.0762058	22306.8761	79.730771	3	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1784	3.4893364	9183.48173	125.600148	19.8778515	2000-2012 –> 2010-2019	7.565526	4.0761901	22306.9599	233.819922	4	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1784	3.4894249	9181.56894	25.471901	19.9158260	2000-2012 –> 2010-2019	7.565663	4.0762375	22303.1011	48.550437	5	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	1784	3.5958043	9284.75459	35.821514	20.3315203	2000-2012 –> 2010-2019	7.693732	4.0979272	22430.9214	63.222940	6	12
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1784	3.6191185	9306.96077	114.579735	20.3812633	2000-2012 –> 2010-2019	7.725336	4.1062176	22462.5092	209.382574	7	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1784	3.6237241	9311.33056	41.636619	20.3469375	2000-2012 –> 2010-2019	7.730985	4.1072607	22468.0581	73.072713	8	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1784	3.6917460	9375.23073	107.201150	19.8868775	2000-2012 –> 2010-2019	7.833476	4.1417296	22570.7522	196.761322	9	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + phosphate_star	1784	3.7098677	9390.05578	18.958170	19.0966528	2000-2012 –> 2010-2019	7.851789	4.1419217	22583.7925	34.149487	11	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1293	1.2492530	4258.87837	70.787194	8.7270237	1982-1999 –> 2000-2012	1.965851	0.7165982	6348.7339	131.987535	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1293	1.2553932	4269.55763	63.969135	9.2130840	1982-1999 –> 2000-2012	1.973571	0.7181783	6361.6244	123.258796	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1293	1.2645070	4290.26346	251.145780	8.6347384	1982-1999 –> 2000-2012	1.994505	0.7299985	6415.5430	465.849851	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1293	1.2694872	4298.42844	218.858899	9.0852592	1982-1999 –> 2000-2012	2.003414	0.7339265	6431.9687	411.968304	4	9
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1293	1.2716673	4304.86548	58.815447	8.7326070	1982-1999 –> 2000-2012	2.005017	0.7333501	6438.9033	98.520969	5	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1293	1.2753499	4310.34351	56.054975	9.1155496	1982-1999 –> 2000-2012	2.013888	0.7385383	6455.8606	92.660924	6	12
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1293	1.2909196	4343.72274	222.021508	9.2860741	1982-1999 –> 2000-2012	2.030552	0.7396326	6494.0708	413.282911	8	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1293	1.2920010	4343.88810	214.225406	9.1371324	1982-1999 –> 2000-2012	2.057940	0.7659391	6559.0588	403.545306	10	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1293	1.2816036	4322.99304	70.786981	8.3757704	1982-1999 –> 2000-2012	2.122199	0.8405956	6715.9950	131.330566	7	17
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	1293	1.2914853	4340.85571	63.860285	8.9816621	1982-1999 –> 2000-2012	2.138607	0.8471216	6746.6443	123.012592	9	20
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1039	1.3396408	3457.21624	103.953506	8.5372123	2000-2012 –> 2010-2019	2.588894	1.2492530	7716.0946	174.740700	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1039	1.3396410	3455.21642	103.868430	8.5381862	2000-2012 –> 2010-2019	2.595034	1.2553932	7724.7741	167.837565	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1039	1.3568393	3482.88207	422.764248	8.4738660	2000-2012 –> 2010-2019	2.621346	1.2645070	7773.1455	673.910028	5	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1039	1.3568800	3480.94252	333.909945	8.4541348	2000-2012 –> 2010-2019	2.626367	1.2694872	7779.3710	552.768844	6	10
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1039	1.3510636	3472.29937	101.550782	8.3491507	2000-2012 –> 2010-2019	2.632667	1.2816036	7795.2924	172.337763	3	10
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1039	1.3634333	3492.63635	78.990366	8.5715612	2000-2012 –> 2010-2019	2.635101	1.2716673	7797.5018	137.805812	7	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1039	1.3637859	3491.15668	78.964827	8.5158685	2000-2012 –> 2010-2019	2.639136	1.2753499	7801.5002	135.019802	8	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	1039	1.3520140	3471.71412	100.993714	8.4259027	2000-2012 –> 2010-2019	2.643499	1.2914853	7812.5698	164.853999	4	13
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1039	1.3785981	3514.89136	356.456062	8.8351967	2000-2012 –> 2010-2019	2.669518	1.2909196	7858.6141	578.477570	13	21
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1039	1.3698940	3500.14790	418.654047	8.2550924	2000-2012 –> 2010-2019	2.670515	1.3006208	7861.2316	664.321989	9	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1976	1.2477557	6496.40653	87.419543	7.9136025	1982-1999 –> 2000-2012	1.889403	0.6416477	8804.1303	151.997980	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1976	1.2522964	6510.76205	119.530622	7.9098765	1982-1999 –> 2000-2012	1.906114	0.6538181	8862.6793	283.290708	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1976	1.2626105	6543.17814	58.554842	7.7139133	1982-1999 –> 2000-2012	1.920762	0.6581513	8910.6318	94.550836	3	6
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1976	1.3197451	6718.08257	96.173421	7.5683401	1982-1999 –> 2000-2012	1.985099	0.6653537	9111.1352	234.975201	5	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1976	1.3209547	6719.70311	73.223886	10.8031252	1982-1999 –> 2000-2012	2.015284	0.6943290	9211.0148	136.616364	6	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1976	1.3392340	6774.01568	96.118242	7.3541426	1982-1999 –> 2000-2012	2.016942	0.6777079	9208.3397	234.919982	9	14
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1976	1.3402098	6776.89411	49.085455	7.3021138	1982-1999 –> 2000-2012	2.034977	0.6947676	9269.6911	102.074143	10	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1976	1.3282430	6741.44811	102.318743	10.8984843	1982-1999 –> 2000-2012	2.042239	0.7139957	9298.4538	250.525504	8	18
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1976	1.3438584	6787.63830	101.438638	7.2733886	1982-1999 –> 2000-2012	2.045099	0.7012411	9302.2486	250.296388	12	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1976	1.3496130	6804.52522	42.039181	7.1335363	1982-1999 –> 2000-2012	2.052563	0.7029501	9324.8607	75.582256	13	22
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1531	1.0841199	4423.13858	137.299607	6.8092994	2000-2012 –> 2010-2019	2.331876	1.2477557	10919.5451	224.719150	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1531	1.0963337	4456.07588	339.105326	6.7567418	2000-2012 –> 2010-2019	2.348630	1.2522964	10966.8379	458.635948	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1531	1.1040765	4476.76649	86.670162	6.8682671	2000-2012 –> 2010-2019	2.366687	1.2626105	11019.9446	145.225005	4	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1531	1.1208671	4521.14096	277.672362	7.2186981	2000-2012 –> 2010-2019	2.440612	1.3197451	11239.2235	373.845783	7	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1531	1.1004753	4465.16117	129.018205	7.2008255	2000-2012 –> 2010-2019	2.440685	1.3402098	11242.0553	178.103661	3	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1531	1.1329504	4550.66529	124.788828	6.6555165	2000-2012 –> 2010-2019	2.453905	1.3209547	11270.3684	198.012715	9	15
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1531	1.1116232	4494.79397	296.968675	7.1582181	2000-2012 –> 2010-2019	2.455482	1.3438584	11282.4323	398.407313	5	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1531	1.1208795	4519.17341	273.889855	7.2228967	2000-2012 –> 2010-2019	2.460113	1.3392340	11293.1891	370.008098	8	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1531	1.1169841	4508.93827	81.746804	7.2240950	2000-2012 –> 2010-2019	2.466597	1.3496130	11313.4635	123.785985	6	19
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1531	1.1497790	4594.01447	338.943501	6.5455967	2000-2012 –> 2010-2019	2.478022	1.3282430	11335.4626	441.262245	11	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3463	0.9957136	9809.81685	935.395009	11.6389768	1982-1999 –> 2000-2012	1.691379	0.6956653	14193.8717	1732.213607	1	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3463	1.0114501	9920.42099	169.076182	10.9752096	1982-1999 –> 2000-2012	1.693396	0.6819459	14224.0141	281.682719	2	3
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3463	1.0248543	10011.60446	720.699162	10.4256365	1982-1999 –> 2000-2012	1.707454	0.6825994	14319.1632	1107.865009	7	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	3463	1.0185377	9966.78462	88.765782	12.3684088	1982-1999 –> 2000-2012	1.715819	0.6972816	14360.4470	150.490586	5	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	3463	1.0165963	9953.57099	79.539445	10.1719236	1982-1999 –> 2000-2012	1.722916	0.7063193	14400.5485	153.948394	4	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3463	1.0161574	9950.57992	378.197696	11.9990444	1982-1999 –> 2000-2012	1.728638	0.7124807	14433.5155	587.356713	3	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3463	1.0211067	9984.23206	391.134388	12.0150783	1982-1999 –> 2000-2012	1.739410	0.7183033	14500.8635	609.239377	6	13
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3463	1.0261268	10018.19904	478.308736	12.1813876	1982-1999 –> 2000-2012	1.753349	0.7272222	14585.9185	782.608008	8	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3463	1.0467464	10155.99423	628.421794	9.7184749	1982-1999 –> 2000-2012	1.775348	0.7286013	14731.5573	938.445629	13	22
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3463	1.0346345	10077.38657	108.332639	12.7354795	1982-1999 –> 2000-2012	1.836691	0.8020569	15052.6088	233.735440	9	21
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2893	0.8486323	7186.48941	201.162313	6.8382905	2000-2012 –> 2010-2019	1.860082	1.0114501	17106.9104	370.238495	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2893	0.8535918	7217.79757	114.138077	6.8132461	2000-2012 –> 2010-2019	1.872130	1.0185377	17184.5822	202.903859	3	7
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	2893	0.8614362	7270.08699	133.816649	6.6001821	2000-2012 –> 2010-2019	1.878033	1.0165963	17223.6580	213.356093	4	7
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2893	0.8532236	7217.33117	754.290350	6.1897682	2000-2012 –> 2010-2019	1.878078	1.0248543	17228.9356	1474.989512	2	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2893	0.8634651	7283.53357	294.664036	6.8459338	2000-2012 –> 2010-2019	1.879622	1.0161574	17234.1135	672.861732	5	7
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2893	0.8683681	7315.89915	303.297781	6.8244776	2000-2012 –> 2010-2019	1.889475	1.0211067	17300.1312	694.432169	6	11
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2893	0.8759424	7365.54022	482.308442	6.7296544	2000-2012 –> 2010-2019	1.902069	1.0261268	17383.7393	960.617178	7	14
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2893	0.9032153	7542.79643	169.766351	6.0821611	2000-2012 –> 2010-2019	1.937850	1.0346345	17620.1830	278.098990	8	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2893	0.9055949	7555.83609	167.361045	5.9350652	2000-2012 –> 2010-2019	1.940423	1.0348280	17632.5175	264.007919	9	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2893	0.9099936	7583.53252	142.011315	5.7796425	2000-2012 –> 2010-2019	1.949361	1.0393677	17690.5315	228.200375	11	21
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5335	0.6429206	10440.77250	206.731644	4.0884077	1982-1999 –> 2000-2012	1.198054	0.5551333	16151.2583	436.438427	1	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5335	0.6595686	10713.54814	62.896809	4.0038619	1982-1999 –> 2000-2012	1.222306	0.5627369	16517.3564	100.530401	2	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	5335	0.6648121	10796.03747	49.833408	3.7872800	1982-1999 –> 2000-2012	1.228004	0.5631915	16603.3858	81.099406	3	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5335	0.6853820	11123.17254	579.511436	4.0425357	1982-1999 –> 2000-2012	1.231927	0.5465448	16726.6968	880.902600	4	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5335	0.6889711	11178.90262	636.315845	3.9944127	1982-1999 –> 2000-2012	1.232670	0.5436992	16746.6171	937.771769	10	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5335	0.6857267	11128.53820	589.688070	4.0339069	1982-1999 –> 2000-2012	1.232838	0.5471115	16739.1721	889.520787	6	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5335	0.6854043	11121.51949	430.348554	4.0642256	1982-1999 –> 2000-2012	1.236440	0.5510362	16779.1878	643.716401	5	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5335	0.6860301	11131.25712	150.739121	3.9786204	1982-1999 –> 2000-2012	1.244346	0.5583162	16878.9626	259.465839	7	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	5335	0.6870447	11147.02704	11.843476	3.9925880	1982-1999 –> 2000-2012	1.253055	0.5660106	16988.6278	29.166202	8	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	5335	0.6880615	11160.80636	8.685710	4.1419827	1982-1999 –> 2000-2012	1.254260	0.5661980	17002.6778	26.005847	9	19
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4810	0.6334700	8937.33504	657.314743	4.2851522	2000-2012 –> 2010-2019	1.276391	0.6429206	19378.1075	864.046388	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4810	0.6662070	9404.53007	285.732372	4.2195148	2000-2012 –> 2010-2019	1.325776	0.6595686	20118.0782	348.629181	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	4810	0.6689924	9441.21560	258.438319	3.9901446	2000-2012 –> 2010-2019	1.333805	0.6648121	20237.2531	308.271727	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4810	0.6801673	9596.81653	923.173884	4.2595316	2000-2012 –> 2010-2019	1.365894	0.6857267	20725.3547	1512.861954	5	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4810	0.6806541	9603.45019	950.601414	4.2624814	2000-2012 –> 2010-2019	1.366036	0.6853820	20726.6227	1530.112850	7	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4810	0.6801803	9594.99423	629.446872	4.2443116	2000-2012 –> 2010-2019	1.366210	0.6860301	20726.2514	780.185993	6	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4810	0.6860942	9675.26225	920.727425	3.9540398	2000-2012 –> 2010-2019	1.371498	0.6854043	20796.7817	1351.075979	10	15
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4810	0.6836009	9643.50477	976.101635	4.2422576	2000-2012 –> 2010-2019	1.372572	0.6889711	20822.4074	1612.417480	8	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	4810	0.6856369	9669.07995	24.147359	4.3699809	2000-2012 –> 2010-2019	1.372682	0.6870447	20816.1070	35.990835	9	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	4810	0.6903635	9730.77921	12.981032	4.0734175	2000-2012 –> 2010-2019	1.378425	0.6880615	20891.5856	21.666742	12	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3536	5.6894888	22344.25685	23.184496	50.2975885	1982-1999 –> 2000-2012	10.719603	5.0301141	30350.8169	51.170831	2	3
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3536	5.7551361	22425.38885	17.564687	54.8125485	1982-1999 –> 2000-2012	10.907151	5.1520151	30495.0207	31.123044	3	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3536	5.6696301	22319.52938	102.724729	62.7492317	1982-1999 –> 2000-2012	10.988788	5.3191576	30473.2570	197.065442	1	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3536	5.8433583	22532.97514	22.531638	54.4755424	1982-1999 –> 2000-2012	11.053308	5.2099495	30632.0610	38.988106	5	9
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3536	5.7655840	22438.21566	101.593816	52.4093067	1982-1999 –> 2000-2012	11.100546	5.3349623	30599.7581	204.123979	4	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3536	6.0976662	22834.24525	18.395502	20.5545341	1982-1999 –> 2000-2012	11.285156	5.1874899	30921.9517	41.517225	8	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3536	5.9388980	22645.66817	101.334837	47.1832997	1982-1999 –> 2000-2012	11.363448	5.4245504	30849.0751	195.673906	7	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3536	6.2671004	23028.07244	7.436946	20.4329386	1982-1999 –> 2000-2012	11.624399	5.3572984	31200.6197	13.592857	9	17
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	3536	6.3231132	23088.99832	16.522330	23.4039133	1982-1999 –> 2000-2012	11.672047	5.3489334	31255.4296	38.251263	12	19
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3536	6.3085306	23074.66972	9.019314	20.7871396	1982-1999 –> 2000-2012	11.696817	5.3882869	31262.4091	17.980209	11	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3624	5.4146089	22528.63589	157.026380	54.3716825	2000-2012 –> 2010-2019	11.084239	5.6696301	44848.1653	259.751110	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3624	5.4889706	22627.44457	26.425310	43.5153281	2000-2012 –> 2010-2019	11.178459	5.6894888	44971.7014	49.609806	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3624	5.5060087	22649.89560	157.146557	43.4369243	2000-2012 –> 2010-2019	11.271593	5.7655840	45088.1113	258.740373	3	7
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3624	5.5665695	22729.13766	15.755614	47.9622298	2000-2012 –> 2010-2019	11.321706	5.7551361	45154.5265	33.320301	4	7
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3624	5.6442420	22829.51726	19.663702	47.9062225	2000-2012 –> 2010-2019	11.487600	5.8433583	45362.4924	42.195340	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3624	5.6768338	22869.22632	157.026030	38.9129461	2000-2012 –> 2010-2019	11.615732	5.9388980	45514.8945	258.360867	6	13
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3624	5.9459194	23206.70698	14.979642	62.6542141	2000-2012 –> 2010-2019	11.881460	5.9355408	45850.3763	29.083093	8	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3624	5.8591334	23100.19512	26.182922	21.7756051	2000-2012 –> 2010-2019	11.956800	6.0976662	45934.4404	44.578424	7	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3624	6.0221212	23298.95492	9.544097	21.7518787	2000-2012 –> 2010-2019	12.289222	6.2671004	46327.0274	16.981042	9	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	3624	6.0493739	23329.66320	22.118540	21.8580517	2000-2012 –> 2010-2019	12.372487	6.3231132	46418.6615	38.640870	10	22
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3141	3.9326031	17529.72434	58.887455	18.2163668	1982-1999 –> 2000-2012	7.714907	3.7823035	28958.7006	106.183618	1	7
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3141	4.1192139	17820.96268	463.820471	30.0375650	1982-1999 –> 2000-2012	7.808265	3.6890511	29146.2887	1310.308313	3	8
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3141	4.3883546	18218.56309	58.403211	17.7743123	1982-1999 –> 2000-2012	7.949587	3.5612321	29397.4784	109.929855	8	9
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3141	4.0863232	17770.60141	29.193143	18.5711861	1982-1999 –> 2000-2012	7.952348	3.8660250	29290.4801	45.783587	2	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3141	4.1246381	17829.22946	31.089423	18.5756024	1982-1999 –> 2000-2012	8.004197	3.8795591	29363.6180	47.955726	4	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3141	4.2912202	18077.95169	58.939281	14.1788140	1982-1999 –> 2000-2012	8.118379	3.8271586	29555.8777	112.589792	5	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3141	4.5203980	18404.79730	29.147942	18.4521419	1982-1999 –> 2000-2012	8.149483	3.6290848	29662.0771	46.831959	10	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3141	4.5543628	18451.82185	464.553230	35.9421866	1982-1999 –> 2000-2012	8.158862	3.6044987	29680.8773	1356.787375	12	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3141	4.3242969	18126.18765	19.659057	14.4600089	1982-1999 –> 2000-2012	8.170027	3.8457305	29624.2132	29.684190	6	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3141	4.5633910	18464.26244	31.602252	18.5921534	1982-1999 –> 2000-2012	8.207061	3.6436699	29738.1954	50.489377	13	17
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2875	3.5223243	15353.92547	56.277769	17.1647998	2000-2012 –> 2010-2019	7.454927	3.9326031	32883.6498	115.165223	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2875	3.6132548	15499.92010	19.001113	18.2950495	2000-2012 –> 2010-2019	7.699578	4.0863232	33270.5215	48.194256	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2875	3.6406006	15543.10753	19.100907	18.4800172	2000-2012 –> 2010-2019	7.765239	4.1246381	33372.3370	50.190330	3	7
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2875	3.7684258	15740.77332	468.991142	34.2218760	2000-2012 –> 2010-2019	7.887640	4.1192139	33561.7360	932.811613	4	7
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2875	3.8881310	15919.89482	55.972865	17.0107677	2000-2012 –> 2010-2019	8.179351	4.2912202	33997.8465	114.912146	5	10
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2875	3.9304067	15981.83927	13.890728	17.5686051	2000-2012 –> 2010-2019	8.254704	4.3242969	34108.0269	33.549784	6	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2875	3.9627034	16028.71479	17.690779	17.6950971	2000-2012 –> 2010-2019	8.318002	4.3552982	34199.7781	44.387449	7	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2875	4.0679145	16178.81126	47.643549	21.3450093	2000-2012 –> 2010-2019	8.456269	4.3883546	34397.3743	106.046761	9	17
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2875	4.0666461	16177.02484	295.407602	26.9421569	2000-2012 –> 2010-2019	8.544403	4.4777567	34522.2822	577.663672	8	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	2875	4.0961815	16216.47609	55.237330	17.0152089	2000-2012 –> 2010-2019	8.647700	4.5515181	34662.3729	113.646782	10	21
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2872	4.3351400	16589.41739	644.712078	20.2178292	1982-1999 –> 2000-2012	7.235096	2.8999560	25827.6345	1416.492025	4	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2872	4.4814798	16780.11469	105.998066	20.4384463	1982-1999 –> 2000-2012	7.318396	2.8369159	25936.7052	216.096926	5	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2872	4.1802494	16380.43349	102.895213	16.6497959	1982-1999 –> 2000-2012	7.344752	3.1645027	25942.8840	183.263156	1	11
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2872	4.4944215	16796.67838	107.067679	21.7838016	1982-1999 –> 2000-2012	7.490006	2.9955851	26155.3924	216.554644	7	12
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2872	4.6301919	16967.62766	54.456163	20.8500993	1982-1999 –> 2000-2012	7.577735	2.9475426	26266.2947	99.383273	10	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2872	4.3104852	16556.65685	53.119575	16.8508029	1982-1999 –> 2000-2012	7.606836	3.2963506	26270.7131	93.622879	2	15
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2872	4.6468171	16988.21513	59.201195	20.7504458	1982-1999 –> 2000-2012	7.610103	2.9632863	26306.6669	108.181202	11	15
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2872	4.3231787	16573.54692	56.090399	16.8524344	1982-1999 –> 2000-2012	7.627384	3.3042049	26296.4421	98.715139	3	17
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2872	4.6794667	17028.43264	24.421750	22.0779127	1982-1999 –> 2000-2012	7.790735	3.1112681	26527.8732	44.841895	13	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2872	4.4855077	16783.27504	593.628174	17.4674291	1982-1999 –> 2000-2012	7.829072	3.3435647	26548.1500	1165.508658	6	22
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2642	3.4332177	13923.37676	85.596781	14.6268980	2000-2012 –> 2010-2019	7.613467	4.1802494	30303.8103	188.491994	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2642	3.5426496	14087.91772	46.408035	15.7357873	2000-2012 –> 2010-2019	7.853135	4.3104852	30644.5746	99.527610	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2642	3.5593480	14112.57743	47.297082	15.8302521	2000-2012 –> 2010-2019	7.882527	4.3231787	30686.1243	103.387480	4	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2642	3.5542137	14105.00765	556.934985	15.9142715	2000-2012 –> 2010-2019	7.889354	4.3351400	30694.4250	1201.647063	3	7
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2642	3.5851439	14148.44563	480.136280	16.0634377	2000-2012 –> 2010-2019	8.070652	4.4855077	30931.7207	1073.764454	5	11
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2642	3.6671887	14269.10017	93.502430	16.4608739	2000-2012 –> 2010-2019	8.161610	4.4944215	31065.7786	200.570109	6	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	2642	3.7016453	14316.14229	83.837227	16.2611292	2000-2012 –> 2010-2019	8.374856	4.6732107	31334.8907	186.117468	7	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2642	3.9074228	14601.84601	46.890781	14.9377540	2000-2012 –> 2010-2019	8.430821	4.5233984	31435.4389	95.021627	12	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2642	3.8176392	14479.94501	21.288120	16.3818792	2000-2012 –> 2010-2019	8.497106	4.6794667	31508.3776	45.709870	8	21
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2642	4.0320290	14764.46413	45.977057	13.6907125	2000-2012 –> 2010-2019	8.556304	4.5242746	31597.1695	93.605224	13	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4046	3.6659510	22008.26886	148.101115	15.9169916	1982-1999 –> 2000-2012	6.502991	2.8370402	34030.4407	257.715814	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4046	3.7441623	22179.09204	71.439982	17.2140572	1982-1999 –> 2000-2012	6.760626	3.0164635	34500.4015	125.667531	2	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4046	3.7498602	22191.39719	81.090143	17.2425521	1982-1999 –> 2000-2012	6.781838	3.0319781	34537.7314	142.886932	3	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4046	3.8896131	22487.49262	791.284906	16.6930205	1982-1999 –> 2000-2012	6.830834	2.9412210	34685.5822	1450.029059	6	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4046	3.9383390	22586.23298	756.510984	17.4427751	1982-1999 –> 2000-2012	6.893273	2.9549343	34805.0132	1372.111687	8	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4046	3.7821356	22260.74775	49.835727	16.1790926	1982-1999 –> 2000-2012	6.940594	3.1584581	34806.4395	87.975624	4	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4046	3.8041191	22305.64591	48.302390	16.5719541	1982-1999 –> 2000-2012	6.973103	3.1689840	34865.5671	84.905567	5	14
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4046	3.8936249	22495.83449	145.879001	19.1809634	1982-1999 –> 2000-2012	6.986681	3.0930560	34939.4572	259.586344	7	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4046	3.9809444	22673.30307	144.010801	19.9828174	1982-1999 –> 2000-2012	7.091896	3.1109521	35143.0680	253.548170	9	16
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4046	3.9926749	22699.11226	33.665263	20.6108157	1982-1999 –> 2000-2012	7.293048	3.3003728	35459.1993	61.099151	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3353	3.4565937	17660.59823	123.814944	20.9586304	2000-2012 –> 2010-2019	7.122545	3.6659510	39668.8671	271.916059	5	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3353	3.2995382	17352.01700	118.632569	21.3367931	2000-2012 –> 2010-2019	7.193163	3.8936249	39847.8515	264.511571	1	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3353	3.3046866	17357.13475	655.026144	18.9638616	2000-2012 –> 2010-2019	7.194300	3.8896131	39844.6274	1446.311050	2	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3353	3.5489456	17830.19793	65.287221	22.1425279	2000-2012 –> 2010-2019	7.293108	3.7441623	40009.2900	136.727203	7	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3353	3.5171067	17770.41336	45.702056	17.2476939	2000-2012 –> 2010-2019	7.299242	3.7821356	40031.1611	95.537783	6	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3353	3.5605588	17851.87082	73.803882	22.1841624	2000-2012 –> 2010-2019	7.310419	3.7498602	40043.2680	154.894024	9	12
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3353	3.3914922	17529.14342	28.348544	22.4159386	2000-2012 –> 2010-2019	7.384167	3.9926749	40228.2557	62.013807	3	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3353	3.4055719	17556.62730	40.704469	22.4770878	2000-2012 –> 2010-2019	7.406527	4.0009548	40272.5033	94.580420	4	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3353	3.8246381	18324.50936	41.510921	19.0407159	2000-2012 –> 2010-2019	7.628757	3.8041191	40630.1553	89.813310	17	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3353	3.5515950	17840.52118	105.528683	13.6794959	2000-2012 –> 2010-2019	7.760345	4.2087499	40966.1163	245.923657	8	24
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	5237	2.8837757	25968.98034	727.582943	9.4452982	1982-1999 –> 2000-2012	5.319267	2.4354916	39084.7409	1465.065911	1	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5237	2.9720462	26284.77377	136.460597	11.1393419	1982-1999 –> 2000-2012	5.371142	2.3990959	39315.1028	240.891904	2	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5237	2.9790489	26309.42347	130.734100	10.2509175	1982-1999 –> 2000-2012	5.461018	2.4819693	39532.4436	251.339918	3	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5237	3.0215127	26455.66719	693.248528	10.2044392	1982-1999 –> 2000-2012	5.510410	2.4888970	39692.5026	1281.527925	4	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5237	3.0558049	26573.87080	126.686157	10.1217567	1982-1999 –> 2000-2012	5.560650	2.5048455	39846.9484	228.780228	5	11
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5237	3.0605895	26592.25778	58.157486	12.1265803	1982-1999 –> 2000-2012	5.563754	2.5031642	39863.5255	111.363728	6	11
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5237	3.0683126	26618.65446	64.922131	12.1719692	1982-1999 –> 2000-2012	5.586853	2.5185403	39924.6691	124.153561	7	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5237	3.0859432	26678.66607	21.883285	10.8718482	1982-1999 –> 2000-2012	5.676575	2.5906314	40144.8131	46.864083	8	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5237	3.0906303	26694.56231	33.189798	10.9145587	1982-1999 –> 2000-2012	5.693998	2.6033679	40188.5365	67.537527	9	19
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5237	3.1313760	26829.74544	20.276511	11.0126285	1982-1999 –> 2000-2012	5.732052	2.6006762	40315.8500	39.217505	12	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4430	2.6370450	21071.87572	815.081960	10.1015592	2000-2012 –> 2010-2019	5.520821	2.8837757	47040.8561	1542.664903	2	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4430	2.6249689	21031.41085	154.454575	12.5495003	2000-2012 –> 2010-2019	5.597015	2.9720462	47316.1846	290.915172	1	3
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4430	2.6537167	21125.43588	789.491888	10.4923247	2000-2012 –> 2010-2019	5.675229	3.0215127	47581.1031	1482.740416	3	7
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4430	2.7528459	21450.75447	139.868669	11.4645351	2000-2012 –> 2010-2019	5.731895	2.9790489	47760.1779	270.602769	5	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4430	2.7459947	21428.78615	54.858920	13.1906173	2000-2012 –> 2010-2019	5.806584	3.0605895	48021.0439	113.016406	4	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4430	2.7535697	21451.07209	136.512941	11.5552337	2000-2012 –> 2010-2019	5.809375	3.0558049	48024.9429	263.199099	6	11
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4430	2.7547177	21456.74678	61.824872	13.1919281	2000-2012 –> 2010-2019	5.823030	3.0683126	48075.4012	126.747003	7	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4430	2.8674346	21810.29325	23.329745	12.2997671	2000-2012 –> 2010-2019	5.953378	3.0859432	48488.9593	45.213030	8	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4430	2.8740929	21830.74048	32.678001	12.2912013	2000-2012 –> 2010-2019	5.964723	3.0906303	48525.3028	65.867799	10	19
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4430	2.8690465	21813.24752	21.936013	12.1577248	2000-2012 –> 2010-2019	6.000422	3.1313760	48642.9930	42.212524	9	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6734	2.9516062	33701.34715	23.188214	10.8977289	1982-1999 –> 2000-2012	5.361492	2.4098858	52149.4606	43.851548	1	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6734	3.0017147	33928.07027	290.441995	12.0884214	1982-1999 –> 2000-2012	5.375223	2.3735081	52254.1971	739.234910	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6734	3.0327666	34066.67693	81.060507	10.0172183	1982-1999 –> 2000-2012	5.487080	2.4543137	52661.2984	159.055984	3	9
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6734	3.0630981	34200.70498	258.956272	13.4361736	1982-1999 –> 2000-2012	5.491367	2.4282686	52709.7634	479.012757	4	7
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6734	3.0845640	34294.75821	51.085499	12.4785137	1982-1999 –> 2000-2012	5.536753	2.4521893	52882.4347	127.107163	5	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6734	3.1064635	34388.03924	197.403349	14.1889748	1982-1999 –> 2000-2012	5.539117	2.4326536	52909.5673	384.625513	8	12
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6734	3.0863787	34302.67947	63.337042	12.4179309	1982-1999 –> 2000-2012	5.541856	2.4554773	52901.1021	155.531430	6	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6734	3.0903191	34317.86304	18.736770	12.0783195	1982-1999 –> 2000-2012	5.553263	2.4629438	52938.6356	32.453121	7	15
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6734	3.1292877	34488.63124	35.159959	13.7069576	1982-1999 –> 2000-2012	5.632254	2.5029667	53240.6815	73.896137	9	18
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6734	3.1350997	34513.62220	38.667111	13.7238529	1982-1999 –> 2000-2012	5.647255	2.5121556	53295.0615	81.957687	10	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5677	3.0147501	28517.74699	309.315932	15.1847224	2000-2012 –> 2010-2019	6.016465	3.0017147	62445.8173	599.757927	1	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5677	3.0727323	28733.01454	21.715354	15.2234542	2000-2012 –> 2010-2019	6.024338	2.9516062	62434.3617	44.903568	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5677	3.1044650	28849.11334	308.142800	17.6144155	2000-2012 –> 2010-2019	6.167563	3.0630981	63049.8183	567.099071	6	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5677	3.0890349	28792.80895	47.428952	15.6078068	2000-2012 –> 2010-2019	6.173599	3.0845640	63087.5672	98.514451	3	8
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5677	3.0893392	28793.92200	52.841623	15.5152576	2000-2012 –> 2010-2019	6.175718	3.0863787	63096.6015	116.178664	4	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5677	3.0893919	28792.11486	14.779083	15.4556543	2000-2012 –> 2010-2019	6.179711	3.0903191	63109.9779	33.515853	5	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5677	3.1049250	28848.78758	215.492538	17.6894566	2000-2012 –> 2010-2019	6.211388	3.1064635	63236.8268	412.895886	7	15
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5677	3.2255070	29281.32397	77.769280	10.1405218	2000-2012 –> 2010-2019	6.258273	3.0327666	63348.0009	158.829786	12	15
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5677	3.1754751	29104.67258	42.607143	17.9869839	2000-2012 –> 2010-2019	6.304763	3.1292877	63593.3038	77.767102	8	17
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5677	3.1808390	29123.74394	47.065151	17.9971755	2000-2012 –> 2010-2019	6.315939	3.1350997	63637.3661	85.732262	10	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7761	2.8953538	38540.31579	137.540057	10.0468072	1982-1999 –> 2000-2012	5.180718	2.2853641	58431.1621	262.215280	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	7761	2.8921005	38522.86490	44.431211	10.3751465	1982-1999 –> 2000-2012	5.250845	2.3587441	58693.4694	74.858651	1	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7761	2.8966385	38547.20149	47.338294	10.4280609	1982-1999 –> 2000-2012	5.264255	2.3676168	58751.0414	83.810069	3	8
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	7761	2.9611538	38889.12098	28.794922	9.4894708	1982-1999 –> 2000-2012	5.273379	2.3122250	58883.4022	50.702540	4	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7761	2.9778345	38976.31373	447.120217	10.6294510	1982-1999 –> 2000-2012	5.412249	2.4344150	59426.4394	967.985134	6	15
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7761	2.9830725	39003.59300	65.764756	10.7147744	1982-1999 –> 2000-2012	5.439090	2.4560171	59531.9215	126.088959	7	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7761	2.9908039	39043.77036	65.724514	10.7978869	1982-1999 –> 2000-2012	5.450845	2.4600408	59586.5894	124.384819	8	21
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	7761	3.0604912	39399.29165	28.660694	13.3445638	1982-1999 –> 2000-2012	5.455516	2.3950248	59703.0154	50.365142	12	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	7761	3.0143425	39163.45528	39.077606	10.8665458	1982-1999 –> 2000-2012	5.479788	2.4654458	59723.7018	66.059175	10	24
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	7761	3.0265096	39225.98195	33.725773	10.7413765	1982-1999 –> 2000-2012	5.484010	2.4575007	59757.6563	57.133720	11	23
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6360	3.2052954	32460.64187	119.740108	13.0345146	2000-2012 –> 2010-2019	6.100649	2.8953538	71000.9577	257.280164	1	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6360	3.2367661	32583.33943	39.396063	12.2470252	2000-2012 –> 2010-2019	6.128867	2.8921005	71106.2043	83.827274	3	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6360	3.2485600	32629.01413	42.202599	12.0812237	2000-2012 –> 2010-2019	6.145199	2.8966385	71176.2156	89.540893	4	7
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6360	3.2336510	32571.24755	19.980230	14.6336572	2000-2012 –> 2010-2019	6.194805	2.9611538	71460.3685	48.775152	2	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6360	3.3027716	32836.85134	425.079505	12.6779185	2000-2012 –> 2010-2019	6.280606	2.9778345	71813.1651	872.199723	6	12
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6360	3.3136228	32878.04285	47.197870	10.8874929	2000-2012 –> 2010-2019	6.285919	2.9722962	71825.4613	96.934741	9	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6360	3.3098545	32863.75332	72.689479	12.4613485	2000-2012 –> 2010-2019	6.292927	2.9830725	71867.3463	138.454236	7	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6360	3.3174417	32892.50719	72.534343	12.5789516	2000-2012 –> 2010-2019	6.308246	2.9908039	71936.2776	138.258857	11	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate	6360	3.3252300	32919.95482	34.550875	11.3619177	2000-2012 –> 2010-2019	6.326349	3.0011186	72015.1652	74.491161	14	23
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6360	3.3230871	32911.85937	30.676523	13.3280450	2000-2012 –> 2010-2019	6.337430	3.0143425	72075.3147	69.754128	12	22
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3000	2.2278663	13333.89701	560.782920	9.2768142	1982-1999 –> 2000-2012	4.215148	1.9872818	20797.8859	1158.437213	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3000	2.2363352	13356.66185	134.961569	9.3791899	1982-1999 –> 2000-2012	4.234554	1.9982187	20840.0686	267.539037	2	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3000	2.2423247	13372.70997	133.662045	9.4669524	1982-1999 –> 2000-2012	4.251075	2.0087508	20874.7157	260.586260	3	9
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3000	2.3118208	13555.84394	321.154731	10.0346728	1982-1999 –> 2000-2012	4.313677	2.0018567	21045.6861	756.565256	10	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3000	2.3230107	13584.81567	173.732982	9.4086709	1982-1999 –> 2000-2012	4.346793	2.0237824	21113.1978	339.055755	11	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3000	2.3312856	13606.15033	134.737180	9.9960002	1982-1999 –> 2000-2012	4.353666	2.0223808	21132.0814	278.285746	13	21
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	3000	2.3410907	13629.33289	121.422235	9.7804362	1982-1999 –> 2000-2012	4.372937	2.0318466	21169.7849	263.455877	17	27
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3000	2.3470755	13646.65164	122.795769	10.1906240	1982-1999 –> 2000-2012	4.398070	2.0509947	21222.2896	237.039733	19	31
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3000	2.4079274	13800.22947	682.074641	9.8392678	1982-1999 –> 2000-2012	4.402136	1.9942084	21276.5286	1408.153137	43	45
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3000	2.2854679	13487.05588	603.104121	9.3559435	1982-1999 –> 2000-2012	4.412426	2.1269585	21191.3643	1263.907060	4	30
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2485	2.4117846	11230.01226	738.726775	12.8337820	2000-2012 –> 2010-2019	4.639651	2.2278663	24563.9093	1299.509694	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2485	2.4311746	11269.07295	116.399432	12.7256652	2000-2012 –> 2010-2019	4.667510	2.2363352	24625.7348	251.361000	3	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2485	2.4419229	11290.59128	117.433256	12.7094743	2000-2012 –> 2010-2019	4.684248	2.2423247	24663.3012	251.095301	4	7
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2485	2.4773951	11360.94107	816.334294	13.9418860	2000-2012 –> 2010-2019	4.762863	2.2854679	24847.9969	1419.438415	7	11
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2485	2.4959878	11397.41341	85.334160	13.8470624	2000-2012 –> 2010-2019	4.789451	2.2934636	24905.4236	172.965070	8	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2485	2.5030277	11411.15241	86.570040	13.8179953	2000-2012 –> 2010-2019	4.798982	2.2959542	24925.6747	174.038348	9	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2485	2.4243129	11255.28596	947.936118	14.8157044	2000-2012 –> 2010-2019	4.832240	2.4079274	25055.5154	1630.010759	2	45
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2485	2.4482735	11303.26075	167.311870	14.7266913	2000-2012 –> 2010-2019	4.866475	2.4182017	25129.0370	346.215277	5	50
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2485	2.6012073	11596.83161	520.624811	12.5172236	2000-2012 –> 2010-2019	4.888426	2.2872187	25086.4819	937.058735	16	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2485	2.4632820	11333.07291	170.133081	14.7127547	2000-2012 –> 2010-2019	4.888729	2.4254474	25176.8002	348.227398	6	53
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3703	1.8931831	15249.60936	296.661403	8.2905215	1982-1999 –> 2000-2012	3.532592	1.6394091	22602.9299	577.358129	1	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3703	1.9175047	15344.14789	445.886527	7.5727324	1982-1999 –> 2000-2012	3.554157	1.6366522	22691.0123	1029.367950	2	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3703	1.9184760	15347.89815	333.101384	7.5705625	1982-1999 –> 2000-2012	3.559572	1.6410955	22705.1628	610.974456	3	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3703	1.9246863	15371.83356	324.841745	7.7254790	1982-1999 –> 2000-2012	3.573877	1.6491906	22747.9736	611.408519	5	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3703	1.9220263	15359.59089	267.750308	7.3591294	1982-1999 –> 2000-2012	3.619942	1.6979160	22845.4237	521.535203	4	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3703	1.9872914	15608.89667	344.880562	8.4806140	1982-1999 –> 2000-2012	3.707591	1.7202992	23146.9682	633.019919	6	14
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3703	2.0198400	15729.21229	384.993740	8.9857698	1982-1999 –> 2000-2012	3.760881	1.7410411	23313.2583	798.830074	12	23
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	3703	2.0285514	15759.08512	205.108769	9.3191018	1982-1999 –> 2000-2012	3.771099	1.7425478	23344.4494	432.060811	14	26
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3703	2.0079494	15685.48496	460.765071	8.5751037	1982-1999 –> 2000-2012	3.790795	1.7828451	23360.5486	1171.583172	7	22
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	3703	2.0141106	15706.17493	390.114038	8.1347996	1982-1999 –> 2000-2012	3.799090	1.7849792	23383.8274	919.184576	9	25
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3173	1.8645477	12682.30144	349.614781	8.5249302	2000-2012 –> 2010-2019	3.757731	1.8931831	27931.9108	646.276184	3	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3173	1.8585709	12662.38250	786.555679	8.7070265	2000-2012 –> 2010-2019	3.776076	1.9175047	28006.5304	1232.442206	1	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3173	1.8621495	12674.31667	358.482581	8.6253654	2000-2012 –> 2010-2019	3.780626	1.9184760	28022.2148	691.583965	2	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3173	1.8729783	12708.28982	333.560570	8.2533358	2000-2012 –> 2010-2019	3.795005	1.9220263	28067.8807	601.310878	4	8
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3173	1.8764174	12721.67075	342.817057	8.5352455	2000-2012 –> 2010-2019	3.801104	1.9246863	28093.5043	667.658802	5	10
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3173	2.0066593	13138.00247	831.309668	9.9714998	2000-2012 –> 2010-2019	4.014609	2.0079494	28823.4874	1292.074740	12	19
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3173	2.0160198	13166.87517	90.292835	9.8761630	2000-2012 –> 2010-2019	4.028570	2.0125503	28869.3106	173.187891	15	23
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3173	2.0218088	13184.66441	85.912966	9.8299230	2000-2012 –> 2010-2019	4.036273	2.0144645	28894.1404	166.473513	16	26
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3173	2.0994284	13418.38493	357.385806	9.0649748	2000-2012 –> 2010-2019	4.086720	1.9872914	29027.2816	702.266368	23	29
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	3173	2.0799152	13358.45200	685.995822	8.9851561	2000-2012 –> 2010-2019	4.094026	2.0141106	29064.6269	1076.109860	20	29
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4461	1.6086636	16915.32228	412.945459	8.4583410	1982-1999 –> 2000-2012	3.259556	1.6508925	25896.9113	718.994111	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	4461	1.6619118	17203.86550	399.974219	8.3907713	1982-1999 –> 2000-2012	3.363100	1.7011885	26323.6062	664.846296	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4461	1.7074611	17447.10668	416.391885	8.2608145	1982-1999 –> 2000-2012	3.431038	1.7235766	26629.9050	843.463680	3	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4461	1.7114205	17467.77209	91.222747	8.2261902	1982-1999 –> 2000-2012	3.444849	1.7334284	26677.1875	167.763065	4	8
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4461	1.7125363	17473.58697	90.218681	8.2232998	1982-1999 –> 2000-2012	3.448535	1.7359991	26689.9229	170.319431	5	10
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4461	1.7408281	17617.77773	399.074297	8.1862833	1982-1999 –> 2000-2012	3.480801	1.7399727	26842.7908	736.960932	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4461	1.7431196	17629.51412	16.653787	8.1643851	1982-1999 –> 2000-2012	3.491687	1.7485678	26877.5394	36.559048	8	15
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4461	1.7444740	17636.44384	17.552635	8.1620606	1982-1999 –> 2000-2012	3.496438	1.7519641	26893.5310	38.549223	9	17
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4461	1.7431172	17631.50194	85.308152	8.1221991	1982-1999 –> 2000-2012	3.526329	1.7832114	26973.1471	148.309942	7	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4461	1.7567168	17698.84009	14.951337	8.0686633	1982-1999 –> 2000-2012	3.542348	1.7856316	27044.8192	31.795506	10	21
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4492	1.6886620	17243.41599	492.603266	11.8358635	2000-2012 –> 2010-2019	3.297326	1.6086636	34158.7383	905.548725	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	4492	1.7092332	17348.79285	492.533699	12.0028996	2000-2012 –> 2010-2019	3.371145	1.6619118	34552.6584	892.507918	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4492	1.7770832	17696.01062	479.650005	9.7780502	2000-2012 –> 2010-2019	3.484544	1.7074611	35143.1173	896.041890	3	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4492	1.7779292	17700.23151	120.896051	9.7102891	2000-2012 –> 2010-2019	3.489350	1.7114205	35168.0036	212.118797	5	9
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4492	1.7793437	17707.28402	114.334611	9.6897601	2000-2012 –> 2010-2019	3.491880	1.7125363	35180.8710	204.553292	7	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4492	1.7777164	17697.16985	467.925305	9.8331395	2000-2012 –> 2010-2019	3.518544	1.7408281	35314.9476	866.999602	4	10
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4492	1.7784306	17700.73179	24.567171	9.7635731	2000-2012 –> 2010-2019	3.521550	1.7431196	35330.2459	41.220958	6	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4492	1.7798822	17707.96714	25.778743	9.7445330	2000-2012 –> 2010-2019	3.524356	1.7444740	35344.4110	43.331378	8	17
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4492	1.8267641	17940.52633	119.430774	9.0822913	2000-2012 –> 2010-2019	3.569881	1.7431172	35572.0283	204.738925	13	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4492	1.8403008	18003.99752	22.214307	8.6480043	2000-2012 –> 2010-2019	3.597018	1.7567168	35702.8376	37.165644	14	24
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2615	1.5487144	9722.78206	316.996978	7.0959631	1982-1999 –> 2000-2012	3.141399	1.5926848	15310.7180	532.913486	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2615	1.5511721	9731.07522	129.486227	7.1257118	1982-1999 –> 2000-2012	3.145772	1.5945998	15322.5656	228.801981	3	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2615	1.5513630	9731.71880	123.296609	7.1302798	1982-1999 –> 2000-2012	3.146595	1.5952318	15324.3814	215.943973	4	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2615	1.5504603	9728.67464	92.676320	7.1524148	1982-1999 –> 2000-2012	3.151331	1.6008704	15331.7743	173.217431	2	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2615	1.5538708	9738.16639	14.829710	7.2044578	1982-1999 –> 2000-2012	3.186281	1.6324098	15396.9761	39.581578	5	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	2615	1.6433443	10030.96394	300.978809	9.0023772	1982-1999 –> 2000-2012	3.244886	1.6015416	15633.3035	506.018938	7	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2615	1.6474247	10043.93384	128.321740	8.9757376	1982-1999 –> 2000-2012	3.251306	1.6038812	15650.5914	226.876981	8	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2615	1.6480228	10045.83252	122.337234	8.9972095	1982-1999 –> 2000-2012	3.252668	1.6046456	15653.8995	214.319366	9	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2615	1.6509941	10055.25339	92.662200	9.1216743	1982-1999 –> 2000-2012	3.275988	1.6249942	15700.5951	167.070970	10	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + silicate + phosphate_star	2615	1.6537770	10062.06158	10.412160	9.3131273	1982-1999 –> 2000-2012	3.298840	1.6450632	15741.7115	19.223129	11	21
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2585	1.4532856	9078.22222	345.777184	7.7824544	2000-2012 –> 2010-2019	3.044776	1.5914902	18943.4992	712.993525	1	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2585	1.4968417	9227.52790	137.746130	7.3210374	2000-2012 –> 2010-2019	3.047302	1.5504603	18956.2025	230.422449	2	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2585	1.5082440	9265.89637	315.107663	7.7209349	2000-2012 –> 2010-2019	3.056958	1.5487144	18988.6784	632.104642	3	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2585	1.5096501	9270.60795	183.042185	7.6901114	2000-2012 –> 2010-2019	3.060822	1.5511721	19001.6832	312.528412	4	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2585	1.5097788	9271.03888	177.533476	7.6987911	2000-2012 –> 2010-2019	3.061142	1.5513630	19002.7577	300.830086	5	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2585	1.5108669	9272.68159	17.556904	7.8581813	2000-2012 –> 2010-2019	3.064738	1.5538708	19010.8480	32.386613	6	11
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2585	1.5567761	9424.02518	324.254062	9.3648549	2000-2012 –> 2010-2019	3.250917	1.6941408	19614.2027	641.703758	7	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	2585	1.6364811	9676.47739	312.428798	9.3936573	2000-2012 –> 2010-2019	3.279825	1.6433443	19707.4413	613.407607	16	23
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2585	1.6387291	9683.41778	181.360503	9.3633007	2000-2012 –> 2010-2019	3.286154	1.6474247	19727.3516	309.682244	18	26
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2585	1.6392514	9685.02904	176.104630	9.3805221	2000-2012 –> 2010-2019	3.287274	1.6480228	19730.8616	298.441865	19	28
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6139	1.4021409	21585.69449	620.457090	7.0600969	1982-1999 –> 2000-2012	2.997353	1.5952124	35389.7275	861.821211	6	7
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6139	1.3517071	21135.92777	145.296428	7.2656240	1982-1999 –> 2000-2012	3.026231	1.6745239	35294.7535	264.109748	1	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6139	1.3528714	21146.49878	59.243294	7.2813567	1982-1999 –> 2000-2012	3.027934	1.6750623	35307.6750	111.267869	2	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6139	1.3531204	21148.75827	59.074340	7.2871493	1982-1999 –> 2000-2012	3.028495	1.6753749	35311.2991	105.684493	3	14
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6139	1.4145167	21693.58953	576.026710	6.3403822	1982-1999 –> 2000-2012	3.028808	1.6142910	35584.5545	867.233289	7	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6139	1.4281994	21811.78470	533.245729	6.4896328	1982-1999 –> 2000-2012	3.041477	1.6132775	35698.1576	810.045017	8	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	6139	1.4320590	21842.92037	532.350704	6.6457085	1982-1999 –> 2000-2012	3.046485	1.6144263	35732.4984	771.627526	9	13
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6139	1.3641265	21248.22192	53.709757	7.5191740	1982-1999 –> 2000-2012	3.095140	1.7310139	35649.6483	103.933659	4	18
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6139	1.4816250	22262.69389	622.551103	7.0067774	1982-1999 –> 2000-2012	3.101792	1.6201673	36180.2278	824.007921	11	16
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6139	1.4845669	22287.04875	748.255114	7.0177211	1982-1999 –> 2000-2012	3.105694	1.6211269	36208.9121	1046.400681	12	18
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5563	1.1686972	17085.13727	257.986158	6.7337472	2000-2012 –> 2010-2019	2.520404	1.3517071	38221.0650	403.282586	2	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5563	1.1703616	17100.56440	83.155676	6.7105911	2000-2012 –> 2010-2019	2.523233	1.3528714	38247.0632	142.398970	3	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5563	1.1706756	17103.47203	78.933465	6.7171459	2000-2012 –> 2010-2019	2.523796	1.3531204	38252.2303	138.007804	4	7
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5563	1.1661619	17061.59585	88.980743	6.6533405	2000-2012 –> 2010-2019	2.530288	1.3641265	38309.8178	142.690500	1	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5563	1.1826589	17211.86886	9.868982	7.2413928	2000-2012 –> 2010-2019	2.552147	1.3694879	38506.2518	17.791977	5	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	5563	1.2625898	17922.80232	574.163911	4.4061384	2000-2012 –> 2010-2019	2.664731	1.4021409	39508.4968	1194.621001	7	13
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5563	1.2066335	17431.41705	305.058574	5.8843245	2000-2012 –> 2010-2019	2.668990	1.4623568	39533.3906	462.504871	6	16
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5563	1.3113608	18333.64200	651.558024	5.2458709	2000-2012 –> 2010-2019	2.725878	1.4145167	40027.2315	1227.584734	10	17
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5563	1.3212044	18414.70759	621.499372	4.8596787	2000-2012 –> 2010-2019	2.749404	1.4281994	40226.4923	1154.745101	12	20
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	5563	1.3212060	18412.72132	574.137395	4.8612066	2000-2012 –> 2010-2019	2.753265	1.4320590	40255.6417	1106.488099	13	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	14388	0.6537025	28612.61543	298.047644	3.7624591	1982-1999 –> 2000-2012	1.810726	1.1570237	53901.0952	400.682862	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	14388	0.6576286	28784.92189	267.434656	3.5079055	1982-1999 –> 2000-2012	1.820677	1.1630490	54157.2957	356.209043	2	7
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	14388	0.7126584	31097.41524	335.454705	4.4264199	1982-1999 –> 2000-2012	1.902281	1.1896230	56834.6863	427.692721	3	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	14388	0.7172032	31278.34574	266.077274	4.8608374	1982-1999 –> 2000-2012	1.908271	1.1910674	57033.2156	352.337560	4	14
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	14388	0.7594514	32927.40029	330.776404	3.2295219	1982-1999 –> 2000-2012	1.926830	1.1673788	58359.7937	424.253025	5	13
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	14388	0.8107383	34807.88351	341.894977	5.1672154	1982-1999 –> 2000-2012	1.973423	1.1626843	60175.1923	437.649647	6	9
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	14388	0.8116282	34839.45255	369.381952	5.1822233	1982-1999 –> 2000-2012	1.973602	1.1619737	60196.8869	481.733596	10	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	14388	0.8213336	35181.51381	330.554019	5.2957881	1982-1999 –> 2000-2012	1.987626	1.1662927	60598.8722	424.860563	12	19
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	14388	0.8179678	35061.34761	333.611719	5.3199668	1982-1999 –> 2000-2012	2.013705	1.1957376	60879.4263	421.350829	11	22
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	14388	0.8597541	36495.06721	235.392103	5.4032122	1982-1999 –> 2000-2012	2.025216	1.1654622	61898.9200	291.410497	16	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	15034	0.6929276	31324.75678	229.376506	4.7800543	2000-2012 –> 2010-2019	1.346630	0.6537025	59937.3722	527.424150	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	15034	0.6985990	31567.34349	192.415892	4.4709492	2000-2012 –> 2010-2019	1.356228	0.6576286	60352.2654	459.850548	3	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	15034	0.6955952	31439.10561	199.076727	4.4128745	2000-2012 –> 2010-2019	1.408254	0.7126584	62536.5209	534.531432	2	5
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	15034	0.7013239	31681.19513	180.124713	4.2457474	2000-2012 –> 2010-2019	1.418527	0.7172032	62959.5409	446.201987	4	8
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	15034	0.7675097	34366.99028	220.020231	3.5788813	2000-2012 –> 2010-2019	1.526961	0.7594514	67294.3906	550.796635	8	13
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	15034	0.7666291	34332.82476	148.952658	5.7507334	2000-2012 –> 2010-2019	1.577951	0.8113224	69161.4338	250.670883	5	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	15034	0.7668614	34341.84165	20.487500	5.7426882	2000-2012 –> 2010-2019	1.578405	0.8115434	69178.2870	40.967490	6	14
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	15034	0.7669182	34344.04841	20.463174	5.7417484	2000-2012 –> 2010-2019	1.578495	0.8115764	69181.6628	40.937723	7	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	15034	0.7934332	35355.56701	234.738332	6.2129996	2000-2012 –> 2010-2019	1.604172	0.8107383	70163.4505	576.633308	11	17
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	15034	0.7933343	35351.85526	209.705997	6.1609405	2000-2012 –> 2010-2019	1.604963	0.8116282	70191.3078	579.087949	10	20
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6065	1.0948986	18325.45168	516.069923	4.1586453	1982-1999 –> 2000-2012	1.903794	0.8088953	29729.7281	1010.984622	3	6
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6065	1.0946325	18322.50296	158.732270	4.1661574	1982-1999 –> 2000-2012	1.919284	0.8246511	29908.8463	212.010896	1	7
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6065	1.0948294	18324.68491	241.925008	4.1783681	1982-1999 –> 2000-2012	1.919352	0.8245230	29909.5621	304.780698	2	7
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	6065	1.0974479	18353.66104	321.155331	4.1697675	1982-1999 –> 2000-2012	1.922800	0.8253519	29948.0213	493.222042	5	12
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6065	1.1015094	18398.47025	435.397052	4.1216805	1982-1999 –> 2000-2012	1.931010	0.8295004	30040.1506	558.163269	6	14
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate	6065	1.0965250	18341.45665	53.811464	4.3932771	1982-1999 –> 2000-2012	1.931425	0.8349003	30042.3774	91.225492	4	13
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6065	1.1348303	18759.96462	431.539492	3.6429591	1982-1999 –> 2000-2012	1.942678	0.8078475	30152.0075	809.487828	16	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6065	1.1467151	18886.33814	447.132904	3.2499539	1982-1999 –> 2000-2012	1.955349	0.8086343	30287.5683	821.705710	17	19
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	6065	1.1476268	18893.97897	386.329203	3.3325726	1982-1999 –> 2000-2012	1.957340	0.8097137	30305.7990	757.908109	18	22
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6065	1.1298428	18706.53698	218.252280	3.4294538	1982-1999 –> 2000-2012	1.984494	0.8546509	30630.1258	439.596001	14	30
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6269	1.2117585	19059.37388	671.461880	3.9846208	2000-2012 –> 2010-2019	2.306657	1.0948986	37384.8256	1187.531803	1	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6269	1.2163549	19104.13182	198.515146	5.3426803	2000-2012 –> 2010-2019	2.310987	1.0946325	37426.6348	357.247416	3	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6269	1.2161968	19102.59532	286.598532	5.3611106	2000-2012 –> 2010-2019	2.311026	1.0948294	37427.2802	528.523539	2	4
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate	6269	1.2173388	19111.69067	97.593692	5.1080920	2000-2012 –> 2010-2019	2.313864	1.0965250	37453.1473	151.405156	4	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	6269	1.2192564	19132.29842	376.529691	5.3522687	2000-2012 –> 2010-2019	2.316704	1.0974479	37485.9595	697.685023	5	10
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6269	1.2259609	19197.12725	521.797434	5.2595927	2000-2012 –> 2010-2019	2.327470	1.1015094	37595.5975	957.194486	7	13
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6269	1.2240302	19178.49535	533.736766	3.9520652	2000-2012 –> 2010-2019	2.358861	1.1348303	37938.4600	965.276258	6	22
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6269	1.2513647	19439.59394	674.642716	4.1021503	2000-2012 –> 2010-2019	2.362535	1.1111705	37943.9896	1189.731171	9	16
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6269	1.2517193	19442.94403	665.800048	4.1018242	2000-2012 –> 2010-2019	2.363452	1.1117323	37953.4715	1193.750348	11	19
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6269	1.2513976	19437.90479	71.665149	4.1013344	2000-2012 –> 2010-2019	2.364456	1.1130587	37960.8957	117.045098	10	19

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 –> 2000-2012	5.705758	1078.6407
Atlantic	(-Inf,26]	2000-2012 –> 2010-2019	4.336794	867.3729
Atlantic	(26,26.5]	1982-1999 –> 2000-2012	7.896660	4481.0664
Atlantic	(26,26.5]	2000-2012 –> 2010-2019	8.197917	4332.3622
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2012	5.916826	5823.0298
Atlantic	(26.5,26.75]	2000-2012 –> 2010-2019	7.493155	5872.1538
Atlantic	(26.75,27]	1982-1999 –> 2000-2012	4.305043	9311.2447
Atlantic	(26.75,27]	2000-2012 –> 2010-2019	5.317141	9241.7301
Atlantic	(27,27.25]	1982-1999 –> 2000-2012	3.978852	11514.7915
Atlantic	(27,27.25]	2000-2012 –> 2010-2019	4.668589	12052.3670
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2012	5.579138	23723.9352
Atlantic	(27.25,27.5]	2000-2012 –> 2010-2019	6.956606	25687.5514
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2012	4.188324	38599.3718
Atlantic	(27.5,27.75]	2000-2012 –> 2010-2019	4.580038	41407.6212
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2012	2.332108	10498.8544
Atlantic	(27.75,27.85]	2000-2012 –> 2010-2019	2.615926	11794.0792
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2012	3.879936	14528.5610
Atlantic	(27.85,27.95]	2000-2012 –> 2010-2019	4.528933	15841.8470
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2012	7.503623	22192.8336
Atlantic	(27.95,28.05]	2000-2012 –> 2010-2019	7.659201	22397.0944
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2012	2.030555	6496.8403
Atlantic	(28.05,28.1]	2000-2012 –> 2010-2019	2.632208	7792.0095
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2012	1.990848	9130.3185
Atlantic	(28.1,28.15]	2000-2012 –> 2010-2019	2.424261	11188.2522
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2012	1.736440	14480.2508
Atlantic	(28.15,28.2]	2000-2012 –> 2010-2019	1.898712	17360.5302
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2012	1.233390	16713.3942
Atlantic	(28.2, Inf]	2000-2012 –> 2010-2019	1.352929	20523.8549
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2012	11.241126	30804.0399
Indo-Pacific	(-Inf,26]	2000-2012 –> 2010-2019	11.645930	45547.0397
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2012	8.023312	29441.7807
Indo-Pacific	(26,26.5]	2000-2012 –> 2010-2019	8.120781	33897.5925
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2012	7.543012	26207.8756
Indo-Pacific	(26.5,26.75]	2000-2012 –> 2010-2019	8.132983	31020.2310
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2012	6.905488	34777.2900
Indo-Pacific	(26.75,27]	2000-2012 –> 2010-2019	7.359257	40154.2096
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2012	5.547572	39790.9133
Indo-Pacific	(27,27.25]	2000-2012 –> 2010-2019	5.788247	47947.6965
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2012	5.516566	52794.2202
Indo-Pacific	(27.25,27.5]	2000-2012 –> 2010-2019	6.182776	63103.9641
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2012	5.369070	59248.8399
Indo-Pacific	(27.5,27.75]	2000-2012 –> 2010-2019	6.240100	71627.6476
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2012	4.330048	21066.3603
Indo-Pacific	(27.75,27.85]	2000-2012 –> 2010-2019	4.781858	24897.9875
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2012	3.666959	23014.1554
Indo-Pacific	(27.85,27.95]	2000-2012 –> 2010-2019	3.917074	28480.0888
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2012	3.448468	26684.9360
Indo-Pacific	(27.95,28.05]	2000-2012 –> 2010-2019	3.486559	35146.7859
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2012	3.209507	15506.6516
Indo-Pacific	(28.05,28.1]	2000-2012 –> 2010-2019	3.143991	19268.3526
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2012	3.049941	35635.7454
Indo-Pacific	(28.1,28.2]	2000-2012 –> 2010-2019	2.621214	39108.7681
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2012	1.934236	58403.5384
Indo-Pacific	(28.2,28.3]	2000-2012 –> 2010-2019	1.500058	66095.6232
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2012	1.936753	30095.4186
Indo-Pacific	(28.3, Inf]	2000-2012 –> 2010-2019	2.333601	37657.0262

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
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
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 --> 2000-2012
(-Inf,26]	6	5	6	7	10	7	8
(26,26.5]	7	6	7	8	9	6	7
(26.5,26.75]	8	5	8	5	5	10	7
(26.75,27]	8	4	7	7	3	10	8
(27,27.25]	7	6	7	6	6	10	7
(27.25,27.5]	7	10	6	5	5	6	9
(27.5,27.75]	5	2	5	8	10	6	9
(27.75,27.85]	6	4	4	5	10	9	7
(27.85,27.95]	6	2	5	6	10	7	9
(27.95,28.05]	4	3	4	8	9	6	10
(28.05,28.1]	6	2	6	6	8	5	10
(28.1,28.15]	5	2	6	7	8	6	10
(28.15,28.2]	8	10	3	6	5	4	7
(28.2, Inf]	9	10	3	4	10	3	5
total	92.00	71.00	77.00	88.00	108.00	95.00	113.00
Atlantic - 2000-2012 --> 2010-2019
(-Inf,26]	5	6	6	9	10	8	5
(26,26.5]	7	6	7	8	9	6	7
(26.5,26.75]	7	7	7	7	6	7	9
(26.75,27]	8	5	8	6	5	10	6
(27,27.25]	9	7	6	4	6	10	6
(27.25,27.5]	6	8	4	7	9	8	7
(27.5,27.75]	7	5	8	5	10	7	6
(27.75,27.85]	5	4	4	6	10	10	6
(27.85,27.95]	7	4	5	5	10	8	7
(27.95,28.05]	4	2	4	8	10	5	10
(28.05,28.1]	6	1	7	6	7	6	10
(28.1,28.15]	5	2	6	7	8	6	10
(28.15,28.2]	6	10	2	6	5	5	9
(28.2, Inf]	9	10	3	4	10	3	5
total	91.00	77.00	77.00	88.00	115.00	99.00	103.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26]	8	4	8	7	10	4	7
(26,26.5]	8	6	7	7	8	6	8
(26.5,26.75]	8	6	7	7	6	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]	8	9	6	4	9	7	6
(27.85,27.95]	9	8	5	3	10	5	7
(27.95,28.05]	6	3	4	6	10	6	10
(28.05,28.1]	4	2	4	8	5	10	10
(28.1,28.2]	4	7	8	5	8	10	7
(28.2,28.3]	4	10	8	5	5	10	5
(28.3, Inf]	5	10	8	5	10	5	5
total	90.00	100.00	89.00	85.00	104.00	94.00	102.00
Indo-Pacific - 2000-2012 --> 2010-2019
(-Inf,26]	9	5	7	6	10	4	7
(26,26.5]	8	5	8	6	5	9	8
(26.5,26.75]	7	4	6	7	5	10	8
(26.75,27]	6	9	6	7	6	6	9
(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	6	6	10	10	6
(27.75,27.85]	7	6	7	6	7	6	10
(27.85,27.95]	8	6	5	5	10	5	9
(27.95,28.05]	6	3	4	6	10	6	10
(28.05,28.1]	6	3	4	6	7	9	10
(28.1,28.2]	4	6	6	5	10	10	7
(28.2,28.3]	5	7	8	5	8	10	6
(28.3, Inf]	6	10	9	4	7	4	8
total	91.00	89.00	89.00	82.00	103.00	99.00	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
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
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

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

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

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

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

other attached packages:
 [1] car_3.0-10       carData_3.0-4    gt_0.2.2         corrr_0.4.3     
 [5] broom_0.7.5      kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3     
 [9] GGally_2.0.0     lubridate_1.7.9  metR_0.9.0       scico_1.2.0     
[13] patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0    stringr_1.4.0   
[17] dplyr_1.0.5      purrr_0.3.4      readr_1.4.0      tidyr_1.1.2     
[21] tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0  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               plyr_1.8.6              
[52] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[55] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[58] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[61] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[64] RcppArmadillo_0.10.1.2.2 data.table_1.13.6        modelr_0.1.8            
[67] vctrs_0.3.6              httpuv_1.5.4             cellranger_1.1.0        
[70] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[73] xfun_0.20                openxlsx_4.2.3           RcppEigen_0.3.3.9.1     
[76] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[79] here_1.0.1