eMLR - model fitting

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Last updated: 2021-07-31

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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

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R Markdown file: up-to-date

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Environment: empty

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Seed: set.seed(20200707)

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Session information: recorded

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File paths: relative

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Repository version: 6c08dff

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

---

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

File	Version	Author	Date	Message
html	f50925e	Donghe-Zhu	2021-07-31	Build site.
html	f4de2f3	Donghe-Zhu	2021-07-30	Build site.
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html	400c457	Donghe-Zhu	2021-07-29	Build site.
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html	422d5fd	Donghe-Zhu	2021-07-29	Build site.
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html	25bb96f	Donghe-Zhu	2021-07-22	Build site.
html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
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html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
html	9950e70	Donghe-Zhu	2021-07-21	Build site.
html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
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html	4dce223	Donghe-Zhu	2021-07-20	Build site.
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html	3d4ac14	Donghe-Zhu	2021-07-15	Build site.
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html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
html	caf62d8	Donghe-Zhu	2021-06-25	Build site.
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html	d517836	Donghe-Zhu	2021-06-24	0
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html	bff5fbf	Donghe-Zhu	2021-06-23	Build site.
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html	00072e2	Donghe-Zhu	2021-06-23	Build site.
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html	61cae2b	Donghe-Zhu	2021-06-20	1
html	d20c383	Donghe-Zhu	2021-06-18	Build site.
html	b0874a2	Donghe-Zhu	2021-06-17	Build site.
html	72c2f2e	Donghe-Zhu	2021-06-15	Build site.
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html	65c89c8	Donghe-Zhu	2021-06-06	Build site.
html	9baa3b2	Donghe-Zhu	2021-06-06	debug
html	b7d99cf	Donghe-Zhu	2021-06-06	Build site.
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---

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, silicate, phosphate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 56

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	313	7.8053287	2188.564	169.519385	21.972321	1982-1999 –> 2000-2009	15.211859	7.4065300	5220.152	286.883179	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	313	7.8093948	2186.891	115.334557	22.105332	1982-1999 –> 2000-2009	15.311125	7.5017300	5227.742	178.070464	2	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	313	7.9661223	2201.329	38.322246	21.655934	1982-1999 –> 2000-2009	15.404282	7.4381592	5236.675	52.333379	3	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	313	7.9856502	2202.862	20.785214	20.842638	1982-1999 –> 2000-2009	15.405263	7.4196126	5236.006	27.542356	4	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	313	8.0273901	2206.126	27.697181	20.650369	1982-1999 –> 2000-2009	15.482957	7.4555672	5243.533	50.215271	7	11
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	313	8.0132277	2203.020	19.662948	20.938375	1982-1999 –> 2000-2009	15.581375	7.5681469	5251.646	25.959163	6	13
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate	313	7.9901572	2201.215	37.351417	21.198105	1982-1999 –> 2000-2009	15.617486	7.6273292	5256.712	50.166518	5	13
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	313	8.0660540	2207.133	23.198735	21.063959	1982-1999 –> 2000-2009	15.724493	7.6584389	5266.220	42.021875	10	20
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate	313	8.5123699	2240.847	11.098902	22.235693	1982-1999 –> 2000-2009	16.151890	7.6395197	5297.752	16.364211	11	20
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + silicate + phosphate	313	8.5210835	2239.488	10.510594	21.720182	1982-1999 –> 2000-2009	16.250730	7.7296465	5304.737	15.136008	12	23
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	485	6.3278150	3179.977	97.517378	16.996888	2000-2009 –> 2010-2019	14.133144	7.8053287	5368.541	267.036763	3	4
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	485	6.3083419	3176.987	15.290454	17.133752	2000-2009 –> 2010-2019	14.274464	7.9661223	5378.316	53.612700	2	5
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	485	6.3290826	3180.171	13.988413	16.986471	2000-2009 –> 2010-2019	14.314733	7.9856502	5383.033	34.773626	4	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	485	6.2964535	3175.157	22.028926	17.062195	2000-2009 –> 2010-2019	14.323844	8.0273901	5381.283	49.726108	1	8
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	485	6.6453211	3225.466	6.556592	23.485359	2000-2009 –> 2010-2019	14.695101	8.0497799	5431.335	11.939353	10	18
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	485	7.0173375	3278.303	61.682084	22.620436	2000-2009 –> 2010-2019	14.826732	7.8093948	5465.193	177.016642	12	14
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate	485	6.3822656	3186.288	10.440057	17.937217	2000-2009 –> 2010-2019	14.894635	8.5123699	5427.135	21.538959	6	17
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	485	7.0863487	3287.795	12.844412	23.280020	2000-2009 –> 2010-2019	15.099576	8.0132277	5490.816	32.507360	15	21
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate	485	7.1445019	3295.723	14.502640	23.069216	2000-2009 –> 2010-2019	15.134659	7.9901572	5496.938	51.854057	18	23
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	485	7.1302717	3293.789	16.678898	22.914918	2000-2009 –> 2010-2019	15.196326	8.0660540	5500.923	39.877633	16	26
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	275	6.2681499	1803.931	39.066273	18.434467	1982-1999 –> 2000-2009	13.776252	7.5081016	4105.588	60.882727	2	3
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	275	6.2688580	1803.993	121.762277	18.642639	1982-1999 –> 2000-2009	13.778456	7.5095976	4105.783	171.659436	3	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	275	6.2680653	1803.923	42.208108	18.533552	1982-1999 –> 2000-2009	13.784944	7.5168785	4106.359	63.761684	1	5
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + silicate	275	6.4012817	1813.490	10.657670	18.565562	1982-1999 –> 2000-2009	13.982150	7.5808677	4119.571	27.567503	4	13
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	275	6.6545138	1834.829	109.549613	17.936319	1982-1999 –> 2000-2009	14.207396	7.5528826	4138.447	155.706427	6	13
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	275	6.6782786	1836.789	24.394913	18.829418	1982-1999 –> 2000-2009	14.215169	7.5368908	4138.996	36.518983	9	14
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate	275	6.7173057	1839.994	10.651173	23.597798	1982-1999 –> 2000-2009	14.228892	7.5115862	4139.961	27.515104	13	16
Atlantic	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	275	6.6094055	1831.088	585.691291	16.481289	1982-1999 –> 2000-2009	14.253118	7.6437127	4142.667	845.103323	5	19
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	275	6.6711696	1836.204	108.812478	17.841300	1982-1999 –> 2000-2009	14.278619	7.6074497	4144.616	158.531162	7	18
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	275	6.6768978	1836.676	36.852737	18.174159	1982-1999 –> 2000-2009	14.288001	7.6111035	4145.408	49.406989	8	21
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	404	5.8389291	2586.257	17.564887	21.801545	2000-2009 –> 2010-2019	12.106994	6.2680653	4390.180	59.772995	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	404	5.8391390	2586.286	17.345387	21.875363	2000-2009 –> 2010-2019	12.107289	6.2681499	4390.217	56.411661	4	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	404	5.8391351	2586.285	47.937058	21.872507	2000-2009 –> 2010-2019	12.107993	6.2688580	4390.278	169.699335	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	404	5.8389666	2586.262	690.934302	21.776896	2000-2009 –> 2010-2019	12.118227	6.2792601	4391.167	1454.625638	2	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + silicate	404	5.9821435	2603.836	13.110354	18.409477	2000-2009 –> 2010-2019	12.383425	6.4012817	4417.326	23.768024	10	15
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	404	5.8603734	2587.219	44.422121	21.332303	2000-2009 –> 2010-2019	12.514887	6.6545138	4422.047	153.971734	8	15
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	404	5.8399298	2584.395	15.143177	21.768356	2000-2009 –> 2010-2019	12.518208	6.6782786	4421.184	39.538091	6	16
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate	404	5.8391495	2584.287	14.037630	21.888229	2000-2009 –> 2010-2019	12.556455	6.7173057	4424.281	24.688803	5	19
Atlantic	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	404	6.0732050	2616.043	219.829202	23.013999	2000-2009 –> 2010-2019	12.682610	6.6094055	4447.130	805.520493	12	18
Atlantic	(26,26.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	404	5.8566375	2586.703	15.555721	21.553887	2000-2009 –> 2010-2019	12.695576	6.8389381	4436.567	38.551853	7	23
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	230	6.2076970	1506.575	241.896855	23.781101	1982-1999 –> 2000-2009	10.705219	4.4975222	3765.028	652.338269	1	3
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	230	6.2176811	1507.314	34.006748	23.384784	1982-1999 –> 2000-2009	10.719521	4.5018400	3766.505	84.991130	2	6
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	230	6.2244926	1507.818	32.856566	23.305316	1982-1999 –> 2000-2009	10.720942	4.4964490	3766.088	84.641077	3	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	230	6.3602614	1515.744	228.091177	21.290970	1982-1999 –> 2000-2009	10.885106	4.5248451	3776.848	620.204448	6	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + silicate	230	6.3806939	1517.219	22.616253	17.252672	1982-1999 –> 2000-2009	10.904632	4.5239375	3778.170	44.732722	8	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	230	6.4310150	1520.833	25.268997	17.513427	1982-1999 –> 2000-2009	10.943243	4.5122279	3779.793	63.378510	9	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	230	6.3466391	1514.757	226.860600	20.972210	1982-1999 –> 2000-2009	10.948733	4.6020934	3788.863	608.404104	4	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	230	6.3571448	1515.518	31.682838	20.486038	1982-1999 –> 2000-2009	10.962429	4.6052842	3790.156	78.501140	5	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	230	6.3661577	1516.170	30.434512	20.381575	1982-1999 –> 2000-2009	10.968912	4.6027548	3790.386	77.844932	7	19
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	230	6.5106291	1526.492	24.016660	16.463696	1982-1999 –> 2000-2009	11.033451	4.5228217	3787.254	61.704800	12	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	299	5.4688999	1878.574	89.982144	16.623168	2000-2009 –> 2010-2019	11.676597	6.2076970	3385.149	331.878999	2	3
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	299	5.4698023	1878.672	30.668654	16.604843	2000-2009 –> 2010-2019	11.687483	6.2176811	3385.987	64.675402	3	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	299	5.4685371	1878.534	31.613524	16.625860	2000-2009 –> 2010-2019	11.693030	6.2244926	3386.352	64.470091	1	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	299	5.4822633	1878.033	83.659346	17.000503	2000-2009 –> 2010-2019	11.828902	6.3466391	3392.790	310.519946	7	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	299	5.4831645	1878.131	16.667365	16.975575	2000-2009 –> 2010-2019	11.840309	6.3571448	3393.650	48.350203	9	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	299	5.4821621	1878.022	15.747841	17.002127	2000-2009 –> 2010-2019	11.848320	6.3661577	3394.192	46.182353	6	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + silicate	299	5.4815484	1877.955	29.718528	16.651032	2000-2009 –> 2010-2019	11.862242	6.3806939	3395.174	52.334780	5	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	299	5.5029162	1880.282	89.802768	16.459775	2000-2009 –> 2010-2019	11.863178	6.3602614	3396.025	317.893945	11	17
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	299	5.4946993	1879.388	17.443862	16.398810	2000-2009 –> 2010-2019	11.925714	6.4310150	3400.221	42.712858	10	19
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + silicate	299	5.5042194	1878.423	7.749780	17.171821	2000-2009 –> 2010-2019	11.960322	6.4561028	3399.047	15.096184	12	22
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	539	5.9160494	3459.943	696.368774	16.870529	1982-1999 –> 2000-2009	10.833990	4.9179403	7744.715	1492.110728	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	539	5.9186198	3458.411	682.901293	16.681004	1982-1999 –> 2000-2009	10.846827	4.9282067	7744.141	1461.099891	2	5
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	539	5.9516477	3466.410	102.202485	16.720661	1982-1999 –> 2000-2009	10.875293	4.9236448	7752.826	202.856972	3	5
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	539	5.9550051	3465.018	99.208017	16.949460	1982-1999 –> 2000-2009	10.888886	4.9338805	7752.379	197.032681	4	9
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	539	5.9615510	3468.202	105.626045	16.803760	1982-1999 –> 2000-2009	10.890536	4.9289845	7756.156	207.971207	5	9
Atlantic	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	539	5.9652431	3466.870	101.895149	17.044874	1982-1999 –> 2000-2009	10.903979	4.9387360	7755.626	201.015749	6	12
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + silicate	539	6.1157795	3493.736	31.841139	18.372674	1982-1999 –> 2000-2009	11.057889	4.9421092	7783.460	57.067712	7	14
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + silicate	539	6.1159208	3491.761	18.868141	18.332868	1982-1999 –> 2000-2009	11.073774	4.9578533	7783.995	42.152983	8	16
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + silicate + phosphate	539	6.2199354	3511.941	31.683515	19.265253	1982-1999 –> 2000-2009	11.219421	4.9994861	7818.033	62.180371	14	23
Atlantic	(26.75,27]	3	cstar_tref ~ temp + silicate + phosphate	539	6.2212080	3510.161	23.040201	19.151461	1982-1999 –> 2000-2009	11.242375	5.0211671	7820.389	52.351087	15	25
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	547	5.2442115	3379.213	369.010037	17.449495	2000-2009 –> 2010-2019	11.160261	5.9160494	6839.156	1065.378812	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	547	5.2473239	3377.862	365.156517	17.471993	2000-2009 –> 2010-2019	11.165944	5.9186198	6836.274	1048.057811	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	547	5.2506014	3380.546	49.286216	17.547317	2000-2009 –> 2010-2019	11.202249	5.9516477	6846.956	151.488702	3	6
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	547	5.2534164	3379.132	48.599708	17.568263	2000-2009 –> 2010-2019	11.208422	5.9550051	6844.150	147.807725	5	9
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	547	5.2520813	3380.854	51.583501	17.573152	2000-2009 –> 2010-2019	11.213632	5.9615510	6849.056	157.209546	4	9
Atlantic	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	547	5.2548219	3379.425	50.705100	17.593381	2000-2009 –> 2010-2019	11.220065	5.9652431	6846.294	152.600249	6	12
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + silicate	547	5.3096729	3390.785	22.166656	18.089595	2000-2009 –> 2010-2019	11.425452	6.1157795	6884.521	54.007795	7	14
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + silicate	547	5.3163838	3390.167	16.401208	18.276017	2000-2009 –> 2010-2019	11.432305	6.1159208	6881.928	35.269350	9	17
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	547	5.3128681	3391.443	303.649310	18.823797	2000-2009 –> 2010-2019	11.446307	6.1334392	6888.287	822.634761	8	17
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	547	5.3323199	3395.441	29.166628	18.983842	2000-2009 –> 2010-2019	11.517107	6.1847874	6901.273	79.548344	10	22
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	894	5.6685648	5653.128	874.721030	14.923654	1982-1999 –> 2000-2009	9.940932	4.2723675	13620.093	1473.786591	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate	894	5.6860999	5656.650	494.051308	13.919327	1982-1999 –> 2000-2009	9.973306	4.2872063	13631.220	973.447591	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	894	5.8034201	5695.166	207.934562	14.586830	1982-1999 –> 2000-2009	10.097232	4.2938121	13676.000	316.891052	5	8
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	894	5.8059894	5693.957	114.482809	14.718080	1982-1999 –> 2000-2009	10.118091	4.3121016	13684.566	200.852119	6	11
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	894	5.8197926	5700.203	225.951268	14.717381	1982-1999 –> 2000-2009	10.123459	4.3036667	13687.388	344.140297	7	11
Atlantic	(27,27.25]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	894	5.8217298	5698.798	117.460510	14.840685	1982-1999 –> 2000-2009	10.143901	4.3221715	13695.868	207.574749	8	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	894	5.7517698	5677.182	707.814679	15.557487	1982-1999 –> 2000-2009	10.242346	4.4905759	13780.129	1189.935209	3	19
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	894	5.7676154	5680.101	317.076173	15.220166	1982-1999 –> 2000-2009	10.289094	4.5214789	13800.045	646.927465	4	24
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + silicate	894	5.9879299	5749.128	38.061832	17.331802	1982-1999 –> 2000-2009	10.348652	4.3607224	13770.794	80.103725	14	21
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	894	5.9485770	5737.338	643.513361	18.629501	1982-1999 –> 2000-2009	10.373756	4.4251786	13799.648	1186.407429	11	19
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1123	4.9458765	6791.289	423.179641	15.615902	2000-2009 –> 2010-2019	10.614441	5.6685648	12444.416	1297.900671	3	4
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate	1123	4.9820758	6805.667	369.796427	15.484952	2000-2009 –> 2010-2019	10.668176	5.6860999	12462.318	863.847735	15	17
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1123	4.9448526	6790.824	69.105216	15.712402	2000-2009 –> 2010-2019	10.748273	5.8034201	12485.990	277.039778	1	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1123	4.9459215	6791.309	76.937745	15.748105	2000-2009 –> 2010-2019	10.765714	5.8197926	12491.512	302.889013	4	11
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1123	4.9883596	6808.499	60.025219	15.604652	2000-2009 –> 2010-2019	10.794349	5.8059894	12502.456	174.508028	16	22
Atlantic	(27,27.25]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1123	4.9902917	6809.368	65.614728	15.643188	2000-2009 –> 2010-2019	10.812021	5.8217298	12508.167	183.075238	18	26
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	1123	5.0715705	6845.655	383.954269	16.200396	2000-2009 –> 2010-2019	10.823340	5.7517698	12522.837	1091.768948	26	29
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1123	4.9464871	6789.566	326.070889	15.661578	2000-2009 –> 2010-2019	10.895064	5.9485770	12526.904	969.584250	7	18
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	1123	5.1421264	6874.686	306.772336	16.104003	2000-2009 –> 2010-2019	10.909742	5.7676154	12554.787	623.848509	37	41
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + silicate	1123	4.9461546	6789.415	28.771712	15.652311	2000-2009 –> 2010-2019	10.934084	5.9879299	12538.542	66.833545	6	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1805	5.1237611	11034.706	143.507179	22.450639	1982-1999 –> 2000-2009	8.715377	3.5916156	26214.280	415.486503	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	1805	5.1591918	11057.584	126.883153	25.252243	1982-1999 –> 2000-2009	8.753466	3.5942744	26239.318	334.727073	2	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	1805	5.1653218	11061.870	110.462628	26.079677	1982-1999 –> 2000-2009	8.758403	3.5930811	26241.737	329.422154	3	5
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1805	5.1820842	11075.567	83.910366	23.324798	1982-1999 –> 2000-2009	8.780469	3.5983846	26265.726	170.491275	4	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1805	5.1864889	11078.634	85.575686	23.331810	1982-1999 –> 2000-2009	8.797795	3.6113063	26288.945	189.167055	5	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1805	5.2114032	11093.934	65.633513	26.712483	1982-1999 –> 2000-2009	8.813037	3.6016342	26287.168	138.282375	6	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1805	5.2158628	11097.021	68.957327	26.718588	1982-1999 –> 2000-2009	8.830566	3.6147033	26310.619	156.787702	7	20
Atlantic	(27.25,27.5]	3	cstar_tref ~ aou + silicate + phosphate	1805	5.2949476	11149.347	33.772898	36.928678	1982-1999 –> 2000-2009	8.889476	3.5945287	26329.478	85.362253	12	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1805	5.3067643	11159.394	47.856631	32.618749	1982-1999 –> 2000-2009	8.907275	3.6005105	26350.874	89.373222	14	20
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1805	5.3117255	11162.767	42.697929	32.491890	1982-1999 –> 2000-2009	8.930573	3.6188475	26382.807	82.616216	15	29
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2436	4.3634546	14104.811	91.995012	17.846180	2000-2009 –> 2010-2019	9.545539	5.1820842	25180.378	175.905378	1	5
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2436	4.3694743	14111.528	104.521271	17.835721	2000-2009 –> 2010-2019	9.555963	5.1864889	25190.161	190.096957	2	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2436	4.4732324	14225.867	293.632500	17.718679	2000-2009 –> 2010-2019	9.596993	5.1237611	25260.573	437.139679	4	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2436	4.4064338	14150.565	80.141037	18.358086	2000-2009 –> 2010-2019	9.627323	5.2208889	25251.063	163.775407	3	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	2436	4.5124355	14266.379	220.072294	17.744583	2000-2009 –> 2010-2019	9.671627	5.1591918	25323.962	346.955447	5	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2436	4.5763467	14334.898	64.455992	19.324857	2000-2009 –> 2010-2019	9.787750	5.2114032	25428.832	130.089506	8	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2436	4.5856487	14344.791	71.406169	19.587589	2000-2009 –> 2010-2019	9.801512	5.2158628	25441.813	140.363496	9	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	2436	4.6390802	14401.231	187.915404	18.787178	2000-2009 –> 2010-2019	9.804402	5.1653218	25463.101	298.378032	10	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2436	4.5423894	14298.612	33.005919	17.551876	2000-2009 –> 2010-2019	9.854115	5.3117255	25461.380	75.703848	6	21
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2436	4.5543432	14311.417	33.755352	17.499974	2000-2009 –> 2010-2019	9.861107	5.3067643	25470.811	81.611983	7	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3353	6.9889857	22568.115	23.835733	27.371965	1982-1999 –> 2000-2009	10.605019	3.6160328	41679.995	72.335484	2	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3353	6.9886184	22567.763	27.265771	27.382217	1982-1999 –> 2000-2009	10.622116	3.6334976	41713.669	89.625849	1	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3353	7.0027074	22581.268	31.196825	27.289695	1982-1999 –> 2000-2009	10.700737	3.6980300	41851.498	186.485674	3	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	3353	7.1305276	22700.569	31.196712	28.340142	1982-1999 –> 2000-2009	10.864589	3.7340617	42037.274	167.382616	9	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	3353	7.4616652	23004.977	14.635228	30.214141	1982-1999 –> 2000-2009	11.104788	3.6431225	42167.565	43.979062	19	22
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3353	7.0192680	22595.109	22.543232	24.691266	1982-1999 –> 2000-2009	11.153864	4.1345958	42651.382	62.198879	4	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	3353	7.5651360	23097.330	16.190100	28.811427	1982-1999 –> 2000-2009	11.208347	3.6432106	42260.089	44.224903	21	25
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3353	7.1801784	22747.102	23.157533	32.409351	1982-1999 –> 2000-2009	11.242551	4.0623723	42678.925	70.506697	10	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3353	7.1840404	22750.708	24.426659	32.417269	1982-1999 –> 2000-2009	11.248789	4.0647486	42686.661	80.331020	11	20
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	3353	7.2237211	22787.646	28.383943	32.637201	1982-1999 –> 2000-2009	11.346486	4.1227652	42823.684	178.973683	12	22
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3655	5.0762544	22262.074	33.121189	48.637490	2000-2009 –> 2010-2019	12.065240	6.9889857	44830.189	56.956922	1	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3655	5.0904161	22282.439	39.207009	48.656585	2000-2009 –> 2010-2019	12.079035	6.9886184	44850.202	66.472780	2	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3655	5.1117498	22313.011	675.241277	47.220405	2000-2009 –> 2010-2019	12.149915	7.0381652	44928.149	983.043937	3	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3655	5.2128913	22456.235	126.136566	47.322518	2000-2009 –> 2010-2019	12.215599	7.0027074	45037.503	157.333391	6	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3655	5.4180879	22736.462	30.547407	51.685062	2000-2009 –> 2010-2019	12.437356	7.0192680	45331.570	53.090638	8	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	3655	5.3439885	22635.798	116.061426	49.516217	2000-2009 –> 2010-2019	12.474516	7.1305276	45336.367	147.258138	7	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	3655	5.1118486	22311.152	19.314677	47.129866	2000-2009 –> 2010-2019	12.573514	7.4616652	45316.129	33.949905	4	25
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	3655	5.1178077	22319.669	19.469794	46.504865	2000-2009 –> 2010-2019	12.682944	7.5651360	45416.999	35.659894	5	28
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3655	6.2695663	23803.460	26.187600	44.311355	2000-2009 –> 2010-2019	13.311880	7.0423138	46420.550	41.381139	11	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3655	6.2860735	23822.682	32.154784	44.305953	2000-2009 –> 2010-2019	13.328846	7.0427722	46440.208	50.024666	12	19
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1603	5.3080212	9914.633	166.082460	36.000953	1982-1999 –> 2000-2009	9.655653	4.3476323	16924.750	915.968545	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1603	5.3393483	9933.499	36.568339	36.756526	1982-1999 –> 2000-2009	9.732594	4.3932453	16968.893	130.793452	4	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1603	5.3137795	9918.109	34.517916	36.383111	1982-1999 –> 2000-2009	9.733248	4.4194688	16967.918	289.523885	2	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1603	5.3713587	9952.662	32.100514	36.453308	1982-1999 –> 2000-2009	9.750193	4.3788342	16980.099	111.921968	6	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1603	5.3682124	9948.784	18.048223	38.070358	1982-1999 –> 2000-2009	9.841292	4.4730798	17025.796	78.144936	5	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1603	5.5279988	10042.819	18.711652	37.737825	1982-1999 –> 2000-2009	9.949705	4.4217063	17091.853	74.408726	20	25
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate	1603	5.5401551	10049.861	30.624000	40.460606	1982-1999 –> 2000-2009	10.008969	4.4688136	17124.562	66.256280	22	28
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1603	5.3139810	9916.231	22.422207	36.459573	1982-1999 –> 2000-2009	10.035556	4.7215746	17124.189	277.274250	3	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1603	5.4011282	9968.382	111.689694	35.128854	1982-1999 –> 2000-2009	10.189726	4.7885975	17210.478	853.173757	8	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate	1603	5.3974446	9966.194	17.008976	35.475705	1982-1999 –> 2000-2009	10.224922	4.8274773	17227.876	159.066752	7	21
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1575	5.6081994	9914.980	451.775892	22.176688	2000-2009 –> 2010-2019	10.916221	5.3080212	19829.613	617.858352	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1575	5.6318016	9928.209	59.416749	22.268054	2000-2009 –> 2010-2019	10.971150	5.3393483	19861.708	95.985088	3	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1575	5.6212144	9922.282	49.889983	22.284115	2000-2009 –> 2010-2019	10.992573	5.3713587	19874.944	81.990496	2	8
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1575	5.6879542	9959.461	153.009224	21.272460	2000-2009 –> 2010-2019	11.001734	5.3137795	19877.570	187.527140	6	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1575	5.6798705	9952.981	40.870052	23.701108	2000-2009 –> 2010-2019	11.048083	5.3682124	19901.765	58.918275	5	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1575	5.6370571	9929.147	37.124558	22.993803	2000-2009 –> 2010-2019	11.165056	5.5279988	19971.966	55.836210	4	24
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1575	6.2837014	10271.228	152.093266	18.610628	2000-2009 –> 2010-2019	11.597682	5.3139810	20187.459	174.515472	10	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1575	6.2393509	10248.916	36.957023	17.493237	2000-2009 –> 2010-2019	11.652997	5.4136458	20224.720	52.273861	8	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1575	6.2810023	10269.875	43.776457	17.596167	2000-2009 –> 2010-2019	11.682966	5.4019636	20238.752	64.763644	9	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1575	6.2878691	10273.316	414.256398	17.465529	2000-2009 –> 2010-2019	11.688997	5.4011282	20241.698	525.946091	11	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3388	4.3930241	19657.328	67.035453	16.861630	1982-1999 –> 2000-2009	8.576980	4.1839554	34264.330	113.160281	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3388	4.3930747	19657.406	67.842572	16.937403	1982-1999 –> 2000-2009	8.579474	4.1863989	34267.397	113.397819	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3388	4.4057624	19676.948	63.892439	17.715264	1982-1999 –> 2000-2009	8.595740	4.1899771	34291.313	190.496504	4	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3388	4.4181400	19695.958	130.848164	18.481652	1982-1999 –> 2000-2009	8.631472	4.2133325	34338.783	496.637234	5	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3388	4.5839486	19943.599	59.592040	15.423848	1982-1999 –> 2000-2009	8.816753	4.2328045	34608.032	100.188352	7	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3388	4.5878146	19949.312	48.639751	15.466060	1982-1999 –> 2000-2009	8.822484	4.2346699	34616.000	88.906280	8	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate	3388	4.6332985	20016.159	43.395713	15.714348	1982-1999 –> 2000-2009	8.891479	4.2581805	34711.195	150.120365	10	17
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	3388	4.4681759	19770.266	61.890932	22.141065	1982-1999 –> 2000-2009	8.925262	4.4570863	34699.047	187.885926	6	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3388	4.7215479	20144.006	119.901019	16.135072	1982-1999 –> 2000-2009	9.045035	4.3234867	34916.969	434.113622	11	19
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3388	4.3932049	19655.607	63.587655	17.394677	1982-1999 –> 2000-2009	9.483707	5.0905018	35264.740	108.952910	3	23
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3770	5.9997491	24222.348	57.937284	40.364967	2000-2009 –> 2010-2019	10.392773	4.3930241	43879.676	124.972737	2	3
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3770	6.0061660	24230.408	58.156229	39.929501	2000-2009 –> 2010-2019	10.399241	4.3930747	43887.814	125.998802	3	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3770	5.9943927	24215.613	133.473521	41.473708	2000-2009 –> 2010-2019	10.400155	4.4057624	43892.561	197.365959	1	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3770	6.0078088	24232.470	410.466730	42.130678	2000-2009 –> 2010-2019	10.425949	4.4181400	43928.428	541.314895	4	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3770	6.1154083	24364.315	55.536814	26.910282	2000-2009 –> 2010-2019	10.699357	4.5839486	44307.915	115.128855	5	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3770	6.1179830	24367.489	55.256743	26.806537	2000-2009 –> 2010-2019	10.705798	4.5878146	44316.801	103.896495	6	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	3770	6.2776468	24561.740	130.474310	47.378439	2000-2009 –> 2010-2019	10.745823	4.4681759	44332.006	192.365242	9	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate	3770	6.1385667	24392.815	124.336048	25.465922	2000-2009 –> 2010-2019	10.771865	4.6332985	44408.973	167.731760	7	17
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3770	6.2160590	24487.403	325.624535	22.303400	2000-2009 –> 2010-2019	10.937607	4.7215479	44631.408	445.525554	8	19
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	3770	6.6880459	25039.223	31.694505	19.679458	2000-2009 –> 2010-2019	11.768503	5.0804566	45679.668	79.435473	12	30
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4365	3.4528254	23219.487	110.871546	36.846259	1982-1999 –> 2000-2009	7.033401	3.5805760	47704.593	181.243475	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4365	3.4620291	23242.726	118.397535	36.880228	1982-1999 –> 2000-2009	7.049990	3.5879606	47746.544	189.901690	3	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4365	3.4559729	23225.441	45.186197	35.882118	1982-1999 –> 2000-2009	7.079201	3.6232278	47816.092	87.533173	2	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4365	3.4713533	23264.207	68.728944	35.231591	1982-1999 –> 2000-2009	7.100819	3.6294659	47870.481	111.086316	4	8
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4365	3.4932608	23321.129	234.540356	37.261942	1982-1999 –> 2000-2009	7.242885	3.7496242	48225.205	411.904586	5	13
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4365	3.5056727	23352.092	123.063270	36.591556	1982-1999 –> 2000-2009	7.253927	3.7482541	48252.849	198.356237	6	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	4365	3.5238955	23395.354	28.449127	34.230385	1982-1999 –> 2000-2009	7.275275	3.7513798	48301.681	60.382510	7	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4365	3.5395394	23434.024	45.067783	33.223330	1982-1999 –> 2000-2009	7.376083	3.8365434	48544.224	87.441945	9	19
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4365	3.5375234	23429.050	128.619838	33.586695	1982-1999 –> 2000-2009	7.428727	3.8912039	48667.732	267.383007	8	19
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	4365	3.5395533	23432.058	17.982941	33.245004	1982-1999 –> 2000-2009	7.457409	3.9178554	48730.732	37.084258	10	25
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4744	4.1112106	26890.241	179.533743	36.438380	2000-2009 –> 2010-2019	7.604471	3.4932608	50211.369	414.074099	1	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4744	4.1118357	26891.683	77.212801	36.477981	2000-2009 –> 2010-2019	7.617508	3.5056727	50243.775	200.276071	2	8
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4744	4.1805229	27048.869	72.529027	36.113099	2000-2009 –> 2010-2019	7.633348	3.4528254	50268.356	183.400573	5	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4744	4.1767145	27040.221	73.417392	36.165151	2000-2009 –> 2010-2019	7.638744	3.4620291	50282.948	191.814927	4	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	4744	4.1201758	26908.909	44.527285	37.832612	2000-2009 –> 2010-2019	7.644071	3.5238955	50304.262	72.976413	3	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4744	4.1995994	27090.066	47.636912	34.275180	2000-2009 –> 2010-2019	7.655572	3.4559729	50315.507	92.823109	7	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4744	4.1982307	27086.973	47.640161	34.214690	2000-2009 –> 2010-2019	7.669584	3.4713533	50351.180	116.369105	6	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4744	4.2253066	27147.968	47.596490	31.738726	2000-2009 –> 2010-2019	7.764846	3.5395394	50581.992	92.664273	8	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4744	4.2469987	27196.553	147.722740	31.673328	2000-2009 –> 2010-2019	7.784522	3.5375234	50625.603	276.342578	9	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	4744	4.3205551	27357.475	24.416994	34.517246	2000-2009 –> 2010-2019	7.860108	3.5395533	50789.533	42.399935	12	22
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	974	4.1464072	5548.620	351.577395	13.796515	1982-1999 –> 2000-2009	7.140564	2.9941568	11107.005	708.683652	1	7
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	974	4.1596069	5554.812	212.070644	14.295584	1982-1999 –> 2000-2009	7.141610	2.9820029	11104.232	424.117707	3	8
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	974	4.1826773	5565.586	189.815578	14.772089	1982-1999 –> 2000-2009	7.147694	2.9650164	11102.416	385.355587	7	9
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	974	4.1898392	5568.919	208.423351	14.685826	1982-1999 –> 2000-2009	7.154220	2.9643804	11105.275	419.138145	8	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	974	4.2030471	5573.050	33.027507	16.898932	1982-1999 –> 2000-2009	7.199658	2.9966107	11131.240	67.608196	9	16
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	974	4.1722824	5558.739	130.115341	16.092367	1982-1999 –> 2000-2009	7.200854	3.0285714	11140.312	249.332393	4	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	974	4.2727630	5605.096	159.142598	17.604179	1982-1999 –> 2000-2009	7.238647	2.9658842	11140.571	343.412432	17	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	974	4.2704501	5604.041	40.212505	17.846360	1982-1999 –> 2000-2009	7.238700	2.9682501	11141.273	78.716900	15	19
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	974	4.2331818	5586.966	118.863651	13.753951	1982-1999 –> 2000-2009	7.263929	3.0307473	11170.123	243.515139	13	22
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	974	4.2262971	5583.796	156.903548	16.123019	1982-1999 –> 2000-2009	7.317988	3.0916913	11210.831	336.910305	12	23
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1321	4.1376507	7514.814	454.528914	14.583693	2000-2009 –> 2010-2019	8.284058	4.1464072	13063.434	806.106308	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1321	4.1382492	7513.196	153.994148	14.776832	2000-2009 –> 2010-2019	8.310532	4.1722824	13071.935	284.109489	2	6
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1321	4.1867178	7545.961	278.617236	15.218231	2000-2009 –> 2010-2019	8.346325	4.1596069	13100.772	490.687879	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1321	4.1867416	7543.976	40.193226	15.169243	2000-2009 –> 2010-2019	8.389789	4.2030471	13117.025	73.220734	4	13
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1321	4.2695590	7597.726	254.391045	16.553627	2000-2009 –> 2010-2019	8.452236	4.1826773	13163.312	444.206623	5	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1321	4.2980832	7613.319	346.098132	16.680261	2000-2009 –> 2010-2019	8.453123	4.1550401	13163.990	622.539566	8	10
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1321	4.2888774	7609.654	276.608089	16.296811	2000-2009 –> 2010-2019	8.478717	4.1898392	13178.572	485.031440	7	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1321	4.3168742	7624.844	124.186584	17.700299	2000-2009 –> 2010-2019	8.494648	4.1777738	13186.145	220.663340	10	16
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1321	4.2820642	7603.453	49.532944	15.448425	2000-2009 –> 2010-2019	8.552514	4.2704501	13207.495	89.745450	6	21
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1321	4.2987661	7613.738	173.946225	15.201460	2000-2009 –> 2010-2019	8.571529	4.2727630	13218.834	333.088824	9	26
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	946	5.0232712	5752.474	628.323120	21.772174	1982-1999 –> 2000-2009	8.492048	3.4687767	10697.869	1153.169961	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	946	5.1541417	5801.134	320.256867	21.857488	1982-1999 –> 2000-2009	8.668796	3.5146546	10770.864	539.110779	2	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	946	5.1992773	5815.631	584.159678	20.403869	1982-1999 –> 2000-2009	8.671079	3.4718018	10760.641	1082.277006	3	5
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	946	5.2073096	5820.552	283.401344	22.647529	1982-1999 –> 2000-2009	8.767840	3.5605308	10814.298	490.717029	4	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	946	5.3262112	5861.267	211.222628	19.482650	1982-1999 –> 2000-2009	8.841777	3.5155660	10829.476	379.524528	9	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	946	5.2888085	5847.934	207.280330	17.810340	1982-1999 –> 2000-2009	8.911195	3.6223870	10871.578	331.707513	5	12
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	946	5.2982174	5853.297	305.142286	22.399570	1982-1999 –> 2000-2009	8.924346	3.6261287	10880.853	632.830611	6	14
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	946	5.3230334	5860.138	49.029462	18.311363	1982-1999 –> 2000-2009	8.963210	3.6401766	10892.856	93.205081	8	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + phosphate + phosphate_star	946	5.3138318	5854.864	62.988765	17.554760	1982-1999 –> 2000-2009	8.996715	3.6828830	10907.183	148.073174	7	18
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	946	5.4544855	5906.293	200.940253	20.353854	1982-1999 –> 2000-2009	9.015100	3.5606146	10898.083	364.288479	15	21
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1312	5.0006962	7960.825	643.045022	17.775471	2000-2009 –> 2010-2019	10.023967	5.0232712	13713.299	1271.368143	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1312	5.0033896	7960.238	577.366800	17.839867	2000-2009 –> 2010-2019	10.202667	5.1992773	13775.869	1161.526478	2	5
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1312	5.1992069	8062.975	299.248903	18.969044	2000-2009 –> 2010-2019	10.353349	5.1541417	13864.109	619.505771	4	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1312	5.1719778	8047.196	142.112151	18.662164	2000-2009 –> 2010-2019	10.460786	5.2888085	13895.130	349.392481	3	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1312	5.2025198	8062.646	199.401118	19.052807	2000-2009 –> 2010-2019	10.528731	5.3262112	13923.913	410.623746	5	14
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1312	5.3535806	8139.752	281.138143	19.124436	2000-2009 –> 2010-2019	10.560890	5.2073096	13960.303	564.539487	9	13
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + phosphate + phosphate_star	1312	5.2741808	8096.543	72.407549	19.583483	2000-2009 –> 2010-2019	10.588013	5.3138318	13951.408	135.396314	6	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1312	5.2794926	8101.185	39.920807	19.272468	2000-2009 –> 2010-2019	10.602526	5.3230334	13961.322	88.950269	7	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	1312	5.3517495	8134.854	31.481746	19.962127	2000-2009 –> 2010-2019	10.720328	5.3685789	14009.111	55.372097	8	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + silicate + phosphate	1312	5.4325021	8176.152	52.028527	19.914082	2000-2009 –> 2010-2019	10.794237	5.3617351	14049.996	133.304007	11	22
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	651	5.0020279	3957.474	573.836973	18.274622	1982-1999 –> 2000-2009	8.368379	3.3663514	7394.073	941.168684	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	651	5.0083008	3959.106	573.709389	18.353868	1982-1999 –> 2000-2009	8.406722	3.3984216	7408.030	885.220916	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	651	5.0254957	3963.568	573.606080	18.584156	1982-1999 –> 2000-2009	8.457646	3.4321508	7425.332	882.883809	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	651	5.0605874	3970.628	193.291795	17.946768	1982-1999 –> 2000-2009	8.598779	3.5381919	7469.949	545.287929	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	651	5.0646862	3971.682	46.694659	18.008346	1982-1999 –> 2000-2009	8.632259	3.5675723	7481.753	94.302051	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	651	5.0866851	3977.325	49.752361	18.278476	1982-1999 –> 2000-2009	8.702343	3.6156583	7504.802	109.647839	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	651	5.1039722	3981.743	261.680224	18.484502	1982-1999 –> 2000-2009	8.724053	3.6200809	7510.808	445.514250	7	14
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	651	5.1226238	3986.492	441.385487	18.628147	1982-1999 –> 2000-2009	8.793083	3.6704596	7533.524	743.312205	8	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate	651	5.2032003	4006.813	78.285401	18.383461	1982-1999 –> 2000-2009	8.831435	3.6282347	7538.803	145.241793	10	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + silicate + phosphate_star	651	5.1297321	3986.298	35.059182	18.449370	1982-1999 –> 2000-2009	8.898575	3.7688433	7565.716	53.250751	9	21
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1020	4.1312300	5802.528	464.200891	21.469694	2000-2009 –> 2010-2019	9.133258	5.0020279	9760.002	1038.037864	2	3
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1020	4.1311039	5802.466	463.847094	21.420177	2000-2009 –> 2010-2019	9.139405	5.0083008	9761.572	1037.556483	1	3
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1020	4.1319927	5802.905	464.429952	21.266649	2000-2009 –> 2010-2019	9.157488	5.0254957	9766.473	1038.036032	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1020	4.1749315	5821.994	218.641335	20.285219	2000-2009 –> 2010-2019	9.235519	5.0605874	9792.623	411.933130	5	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1020	4.1747603	5821.911	47.883286	20.250891	2000-2009 –> 2010-2019	9.239447	5.0646862	9793.593	94.577946	4	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	1020	4.1754630	5822.254	53.409858	20.084629	2000-2009 –> 2010-2019	9.262148	5.0866851	9799.580	103.162219	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1020	4.1782655	5823.623	261.435726	19.996686	2000-2009 –> 2010-2019	9.282238	5.1039722	9805.366	523.115950	7	14
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1020	4.2141334	5841.060	390.963678	23.023629	2000-2009 –> 2010-2019	9.336757	5.1226238	9827.552	832.349165	8	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + silicate + phosphate_star	1020	4.2245508	5844.097	33.038917	22.282158	2000-2009 –> 2010-2019	9.354283	5.1297321	9830.395	68.098099	9	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate	1020	4.3277591	5895.336	78.637553	19.666479	2000-2009 –> 2010-2019	9.530959	5.2032003	9902.149	156.922954	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1239	2.6391911	5934.960	34.847443	17.052827	1982-1999 –> 2000-2009	4.735474	2.0962828	10716.263	51.763774	1	5
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1239	2.6405883	5936.272	41.327692	17.065596	1982-1999 –> 2000-2009	4.736843	2.0962549	10717.545	65.415564	2	5
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1239	2.6419180	5937.520	127.861835	17.070394	1982-1999 –> 2000-2009	4.737944	2.0960262	10718.551	179.360042	3	5
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1239	2.6478327	5943.061	88.349705	17.063536	1982-1999 –> 2000-2009	4.740666	2.0928328	10720.726	157.481626	4	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + silicate + phosphate	1239	2.6546941	5947.474	28.653175	17.081541	1982-1999 –> 2000-2009	4.755136	2.1004420	10731.153	35.481213	5	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	1239	2.6966874	5986.366	5.240996	17.752776	1982-1999 –> 2000-2009	4.793147	2.0964592	10765.853	7.775697	10	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1239	2.6705223	5962.205	10.613478	17.477496	1982-1999 –> 2000-2009	4.801003	2.1304804	10777.236	16.922204	6	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	1239	2.6710864	5962.728	10.443586	17.482246	1982-1999 –> 2000-2009	4.801826	2.1307392	10778.028	19.424776	7	19
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1239	2.6737098	5965.161	105.287349	17.500103	1982-1999 –> 2000-2009	4.803896	2.1301863	10779.888	141.726600	8	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1239	2.6804040	5971.357	74.880502	17.494707	1982-1999 –> 2000-2009	4.807646	2.1272420	10783.030	139.114533	9	18
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1669	1.9754989	7022.997	25.022843	25.820873	2000-2009 –> 2010-2019	4.614690	2.6391911	12957.958	59.870286	3	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1669	1.9754503	7022.915	29.632128	25.823053	2000-2009 –> 2010-2019	4.616039	2.6405883	12959.187	70.959821	1	3
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1669	1.9754986	7022.997	58.227888	25.821258	2000-2009 –> 2010-2019	4.617417	2.6419180	12960.516	186.089723	2	5
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1669	1.9760200	7023.878	117.127770	25.862555	2000-2009 –> 2010-2019	4.623853	2.6478327	12966.939	205.477475	5	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + silicate + phosphate	1669	1.9843072	7035.847	13.660907	26.234761	2000-2009 –> 2010-2019	4.639001	2.6546941	12983.322	42.314083	10	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1669	1.9830794	7033.782	7.492049	26.106116	2000-2009 –> 2010-2019	4.653602	2.6705223	12995.986	18.105528	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	1669	1.9830840	7033.789	7.457575	26.108017	2000-2009 –> 2010-2019	4.654170	2.6710864	12996.517	17.901162	8	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1669	1.9830797	7033.782	35.168770	26.106223	2000-2009 –> 2010-2019	4.656790	2.6737098	12998.943	140.456118	7	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1669	1.9844592	7036.103	116.966986	26.164721	2000-2009 –> 2010-2019	4.664863	2.6804040	13007.460	191.847488	11	20
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	1669	1.9961701	7055.744	7.093043	26.507765	2000-2009 –> 2010-2019	4.692858	2.6966874	13042.109	12.334039	13	23
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4051	8.8206702	29149.087	25.418014	32.043101	1982-1999 –> 2000-2009	18.138058	9.3173874	45949.561	52.908071	1	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4051	8.8273574	29155.227	13.188376	31.544678	1982-1999 –> 2000-2009	18.140880	9.3135225	45953.793	21.975104	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4051	8.8306999	29158.294	15.088738	31.378670	1982-1999 –> 2000-2009	18.143798	9.3130977	45956.651	28.655073	3	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4051	8.8468262	29173.076	142.872957	36.788893	1982-1999 –> 2000-2009	18.394810	9.5479834	46085.961	397.355355	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4051	8.9213649	29239.053	12.600269	33.091939	1982-1999 –> 2000-2009	18.599115	9.6777504	46212.009	21.272799	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	4051	9.0298057	29336.941	6.261556	31.494553	1982-1999 –> 2000-2009	18.833197	9.8033909	46369.205	11.900267	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4051	9.0457393	29351.225	14.218837	31.435726	1982-1999 –> 2000-2009	18.942358	9.8966189	46427.008	27.732432	8	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4051	9.0457075	29351.196	6.769188	31.438720	1982-1999 –> 2000-2009	18.943487	9.8977796	46427.519	13.357357	7	15
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + phosphate_star	4051	9.0464362	29349.849	4.848827	31.469527	1982-1999 –> 2000-2009	18.955850	9.9094136	46429.573	9.057748	9	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	4051	9.0500749	29355.107	13.438116	31.224651	1982-1999 –> 2000-2009	18.976764	9.9266893	46444.840	34.345699	10	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5114	9.3134858	37350.311	159.225617	42.270789	2000-2009 –> 2010-2019	18.160312	8.8468262	66523.388	302.098574	1	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5114	9.3915263	37435.658	41.819307	37.419072	2000-2009 –> 2010-2019	18.212197	8.8206702	66584.745	67.237321	2	3
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5114	9.4070013	37452.497	15.327950	36.760302	2000-2009 –> 2010-2019	18.234359	8.8273574	66607.724	28.516326	3	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5114	9.4118370	37457.754	22.283079	36.640562	2000-2009 –> 2010-2019	18.242537	8.8306999	66616.048	37.371817	4	7
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5114	9.4288518	37474.227	15.233485	36.603012	2000-2009 –> 2010-2019	18.350217	8.9213649	66713.281	27.833755	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	5114	9.4788344	37528.303	7.660780	37.100207	2000-2009 –> 2010-2019	18.508640	9.0298057	66865.244	13.922336	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate	5114	9.4935240	37544.141	11.367887	36.680409	2000-2009 –> 2010-2019	18.684424	9.1908997	67024.350	22.651139	7	18
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + silicate	5114	9.4948823	37543.605	2.143444	36.817970	2000-2009 –> 2010-2019	18.689348	9.1944653	67024.956	4.774229	8	21
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	5114	9.7147369	37779.734	27.464480	36.236538	2000-2009 –> 2010-2019	18.764812	9.0500749	67134.841	40.902596	9	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5114	9.7285763	37794.294	21.510392	35.477727	2000-2009 –> 2010-2019	18.774316	9.0457393	67145.519	35.729229	10	18
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2769	9.2432442	20188.001	75.553764	37.140171	1982-1999 –> 2000-2009	18.104585	8.8613407	37499.459	119.296751	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	2769	9.2437331	20186.294	64.235461	37.074747	1982-1999 –> 2000-2009	18.136682	8.8929493	37512.857	102.015363	2	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2769	9.2599405	20197.995	32.311030	36.565343	1982-1999 –> 2000-2009	18.150276	8.8903351	37525.146	54.362226	3	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2769	9.2601688	20196.132	20.818140	36.527471	1982-1999 –> 2000-2009	18.172162	8.9119933	37532.972	32.398264	4	8
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2769	9.2729281	20205.757	25.025362	36.957633	1982-1999 –> 2000-2009	18.206434	8.9335059	37556.180	45.961622	5	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2769	9.2764275	20205.846	17.587727	36.902615	1982-1999 –> 2000-2009	18.215886	8.9394581	37557.469	26.443509	6	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate	2769	9.3097953	20225.731	16.641221	31.526094	1982-1999 –> 2000-2009	18.243585	8.9337895	37574.306	31.509049	7	13
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + silicate + phosphate	2769	9.3313516	20236.539	14.335373	29.519319	1982-1999 –> 2000-2009	18.369264	9.0379123	37638.781	19.356324	8	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2769	9.4756337	20323.513	590.684006	31.066531	1982-1999 –> 2000-2009	18.501723	9.0260896	37721.467	1106.901990	9	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + silicate	2769	9.4876038	20330.505	16.984177	29.713031	1982-1999 –> 2000-2009	18.878308	9.3907043	37918.702	32.716308	10	24
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2618	10.3791486	19694.749	61.715242	36.114121	2000-2009 –> 2010-2019	19.622393	9.2432442	39882.750	137.269006	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	2618	10.3791506	19692.750	52.110474	36.102383	2000-2009 –> 2010-2019	19.622884	9.2437331	39879.043	116.345935	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2618	10.4127334	19711.664	29.575976	36.903929	2000-2009 –> 2010-2019	19.672674	9.2599405	39909.659	61.887006	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2618	10.4139735	19712.288	19.462896	37.128752	2000-2009 –> 2010-2019	19.686902	9.2729281	39918.045	44.488259	4	9
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2618	10.4313780	19719.031	18.579288	37.265220	2000-2009 –> 2010-2019	19.691547	9.2601688	39915.163	39.397427	6	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2618	10.4366377	19721.671	13.374439	37.822519	2000-2009 –> 2010-2019	19.713065	9.2764275	39927.517	30.962165	7	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2618	10.4167239	19711.670	17.466641	38.001391	2000-2009 –> 2010-2019	19.915098	9.4983739	40048.458	42.098442	5	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + silicate + phosphate_star	2618	10.4479037	19725.320	13.031422	39.854769	2000-2009 –> 2010-2019	19.977274	9.5293702	40078.150	30.618559	8	20
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate	2618	10.8172541	19909.224	13.072218	26.795188	2000-2009 –> 2010-2019	20.127049	9.3097953	40134.955	29.713439	14	21
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2618	10.6690989	19837.015	664.265714	31.114574	2000-2009 –> 2010-2019	20.144733	9.4756337	40160.528	1254.949720	9	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2495	6.9596513	16773.749	362.386839	30.102651	1982-1999 –> 2000-2009	13.414176	6.4545247	30603.642	654.099851	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2495	7.3029148	17015.988	51.813009	30.677463	1982-1999 –> 2000-2009	14.172361	6.8694459	31110.049	96.504905	2	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	2495	7.3077787	17017.311	37.989966	30.295817	1982-1999 –> 2000-2009	14.254469	6.9466905	31156.425	63.090750	3	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2495	7.3619854	17056.188	59.848688	30.160888	1982-1999 –> 2000-2009	14.356852	6.9948669	31226.385	108.907833	4	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2495	7.3794189	17067.991	56.978418	30.377372	1982-1999 –> 2000-2009	14.407042	7.0276231	31257.847	103.504512	6	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2495	7.3658364	17056.798	16.521280	29.810262	1982-1999 –> 2000-2009	14.443029	7.0771931	31274.231	27.779398	5	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2495	7.3841247	17069.172	12.891973	29.992568	1982-1999 –> 2000-2009	14.501583	7.1174585	31310.479	20.308226	7	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2495	7.5341113	17169.513	49.053154	33.958708	1982-1999 –> 2000-2009	14.927819	7.3937076	31571.055	87.433793	8	16
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	2495	7.6931410	17273.746	35.589854	29.069671	1982-1999 –> 2000-2009	15.161904	7.4687634	31717.789	60.159180	10	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + silicate + phosphate_star	2495	7.5586209	17183.720	12.890779	33.368324	1982-1999 –> 2000-2009	15.188556	7.6299355	31715.604	20.092697	9	19
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2633	7.7491489	18266.702	326.017153	35.677799	2000-2009 –> 2010-2019	14.708800	6.9596513	35040.451	688.403992	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2633	8.0744882	18485.274	39.013322	36.779130	2000-2009 –> 2010-2019	15.377403	7.3029148	35501.263	90.826331	2	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	2633	8.0805181	18487.206	28.300387	37.150972	2000-2009 –> 2010-2019	15.388297	7.3077787	35504.516	66.290353	3	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2633	8.1663304	18544.834	45.288300	36.428585	2000-2009 –> 2010-2019	15.528316	7.3619854	35601.022	105.136988	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2633	8.1716499	18546.263	12.946017	36.755108	2000-2009 –> 2010-2019	15.537486	7.3658364	35603.061	29.467296	5	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2633	8.1735111	18549.462	42.918192	36.754127	2000-2009 –> 2010-2019	15.552930	7.3794189	35617.453	99.896609	6	12
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2633	8.1797208	18551.461	8.342408	37.116240	2000-2009 –> 2010-2019	15.563845	7.3841247	35620.633	21.234380	7	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2633	8.1915355	18559.062	36.596556	38.356214	2000-2009 –> 2010-2019	15.725647	7.5341113	35728.575	85.649710	8	16
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + silicate + phosphate_star	2633	8.2031666	18564.534	8.036733	39.126929	2000-2009 –> 2010-2019	15.761788	7.5586209	35748.254	20.927512	9	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	2633	8.3650546	18669.445	26.025749	38.397796	2000-2009 –> 2010-2019	16.058196	7.6931410	35943.191	61.615604	10	20
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3360	5.6101073	21136.376	236.925792	23.888375	1982-1999 –> 2000-2009	11.185428	5.5753207	37223.842	430.062939	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3360	5.8418087	21410.339	41.388868	25.892106	1982-1999 –> 2000-2009	11.668358	5.8265494	37725.645	73.688886	2	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	3360	5.8419456	21408.496	20.956864	25.872790	1982-1999 –> 2000-2009	11.709973	5.8680276	37758.150	33.638063	3	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3360	5.8884115	21463.735	43.926233	25.945257	1982-1999 –> 2000-2009	11.794221	5.9058098	37848.275	77.646365	4	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3360	5.8942100	21470.349	42.425525	26.082084	1982-1999 –> 2000-2009	11.817543	5.9233328	37870.070	74.329367	6	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3360	5.8885703	21461.916	11.723996	25.923964	1982-1999 –> 2000-2009	11.840997	5.9524267	37884.743	22.453920	5	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3360	5.8943851	21468.548	9.911770	26.059886	1982-1999 –> 2000-2009	11.867212	5.9728271	37908.907	15.668076	7	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3360	5.9332630	21512.726	40.682225	27.490209	1982-1999 –> 2000-2009	12.069299	6.1360357	38091.220	69.508355	8	16
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + silicate + phosphate_star	3360	5.9336156	21511.126	6.742604	27.462387	1982-1999 –> 2000-2009	12.170236	6.2366208	38170.934	10.731068	9	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	3360	6.4033273	22025.082	20.829164	24.969767	1982-1999 –> 2000-2009	12.894983	6.4916553	38892.255	33.929013	11	21
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3752	5.5479591	23517.294	206.804860	25.376354	2000-2009 –> 2010-2019	11.158066	5.6101073	44653.671	443.730651	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3752	5.6430000	23646.755	30.487533	28.443221	2000-2009 –> 2010-2019	11.484809	5.8418087	45057.094	71.876401	2	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	3752	5.6800523	23693.866	16.638041	27.740073	2000-2009 –> 2010-2019	11.521998	5.8419456	45102.362	37.594905	3	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3752	5.6916824	23711.215	32.824855	28.916763	2000-2009 –> 2010-2019	11.580094	5.8884115	45174.949	76.751088	5	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3752	5.6872309	23705.344	31.513368	28.939730	2000-2009 –> 2010-2019	11.581441	5.8942100	45175.692	73.938893	4	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3752	5.7286842	23757.841	11.458266	28.201181	2000-2009 –> 2010-2019	11.617254	5.8885703	45219.757	23.182262	7	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3752	5.7243231	23752.126	7.951391	28.226351	2000-2009 –> 2010-2019	11.618708	5.8943851	45220.674	17.863162	6	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3752	5.7370381	23768.776	29.748901	27.251125	2000-2009 –> 2010-2019	11.670301	5.9332630	45281.502	70.431125	8	16
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + silicate + phosphate_star	3752	5.7711362	23811.244	4.646432	26.609473	2000-2009 –> 2010-2019	11.704752	5.9336156	45322.369	11.389036	9	18
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + phosphate + phosphate_star	3752	6.3409018	24517.760	153.251701	28.296175	2000-2009 –> 2010-2019	12.408989	6.0680874	46179.479	344.783522	10	20
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	5497	4.1344418	31216.170	329.740024	15.165330	1982-1999 –> 2000-2009	8.479685	4.3452429	53309.972	563.949329	1	2
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5497	4.1655579	31300.602	25.002231	15.210581	1982-1999 –> 2000-2009	8.671315	4.5057574	53673.758	50.839664	2	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5497	4.2014225	31394.852	26.568060	15.423613	1982-1999 –> 2000-2009	8.754400	4.5529772	53847.721	53.457250	4	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5497	4.1972218	31383.855	24.779847	15.374384	1982-1999 –> 2000-2009	8.759567	4.5623454	53852.439	50.170735	3	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate	5497	4.2778886	31591.145	14.358385	16.320001	1982-1999 –> 2000-2009	8.824290	4.5464009	54030.961	21.987375	7	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5497	4.2463883	31509.891	22.605172	16.296250	1982-1999 –> 2000-2009	8.909784	4.6633954	54143.976	45.782719	6	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	5497	4.3212178	31701.939	24.009495	16.575988	1982-1999 –> 2000-2009	8.916654	4.5954360	54223.780	48.216340	9	15
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	5497	4.3162852	31689.382	14.402552	16.517028	1982-1999 –> 2000-2009	8.920713	4.6044282	54226.170	21.784183	8	15
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + silicate + phosphate_star	5497	4.3622156	31803.753	4.051710	17.876306	1982-1999 –> 2000-2009	9.053370	4.6911543	54481.217	6.160046	12	21
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	5497	4.4755251	32087.679	12.628663	14.661970	1982-1999 –> 2000-2009	9.235521	4.7599956	54878.530	20.055656	15	25
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6159	4.2803842	35403.384	21.459835	18.056370	2000-2009 –> 2010-2019	8.445942	4.1655579	66703.985	46.462066	1	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6159	4.2943173	35437.662	21.299434	18.582161	2000-2009 –> 2010-2019	8.491539	4.1972218	66821.517	46.079281	2	5
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6159	4.2952216	35440.256	23.288652	18.568687	2000-2009 –> 2010-2019	8.496644	4.2014225	66835.108	49.856712	3	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	6159	4.3805994	35680.664	230.513279	16.920569	2000-2009 –> 2010-2019	8.515041	4.1344418	66896.834	560.253303	5	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	6159	4.3038781	35463.052	18.708443	17.685686	2000-2009 –> 2010-2019	8.550266	4.2463883	66972.943	41.313614	4	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate	6159	4.4384317	35848.014	9.571388	17.634028	2000-2009 –> 2010-2019	8.716320	4.2778886	67439.158	23.929772	6	13
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	6159	4.4571252	35893.958	9.592098	17.781897	2000-2009 –> 2010-2019	8.773410	4.3162852	67583.340	23.994650	7	15
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	6159	4.4586442	35898.155	21.060184	17.798105	2000-2009 –> 2010-2019	8.779862	4.3212178	67600.093	45.069679	8	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + phosphate + phosphate_star	6159	4.5864928	36244.339	81.662825	21.496618	2000-2009 –> 2010-2019	8.825325	4.2388321	67732.649	186.050886	12	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + silicate + phosphate_star	6159	4.4718809	35932.664	2.914027	17.869055	2000-2009 –> 2010-2019	8.834097	4.3622156	67736.417	6.965737	9	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7269	4.3756783	42101.511	15.250007	18.526222	1982-1999 –> 2000-2009	8.671679	4.2960005	73257.832	27.087604	4	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7269	4.3707172	42085.019	51.057445	18.145503	1982-1999 –> 2000-2009	8.673574	4.3028568	73258.604	111.997680	1	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7269	4.3708413	42085.432	15.260663	18.146648	1982-1999 –> 2000-2009	8.678880	4.3080386	73272.046	27.051135	2	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	7269	4.4314154	42283.526	12.135991	17.623729	1982-1999 –> 2000-2009	8.746480	4.3150647	73485.782	21.505147	5	11
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	7269	4.5317558	42609.038	35.685993	17.683641	1982-1999 –> 2000-2009	8.834734	4.3029783	73780.928	83.555914	9	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	7269	4.5509567	42670.505	12.295114	17.455655	1982-1999 –> 2000-2009	8.864650	4.3136935	73869.320	20.423840	10	15
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	7269	4.3721267	42087.706	9.246996	18.229105	1982-1999 –> 2000-2009	9.057039	4.6849124	74180.238	19.673739	3	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + silicate + phosphate_star	7269	4.5785675	42756.441	2.610674	16.704819	1982-1999 –> 2000-2009	9.355246	4.7766788	75056.978	4.676525	11	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	7269	4.4593373	42374.841	9.214244	21.319346	1982-1999 –> 2000-2009	9.431009	4.9716715	75110.533	19.521585	8	21
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7269	4.4579436	42370.297	9.232668	20.425925	1982-1999 –> 2000-2009	9.461723	5.0037797	75175.681	19.570030	7	22
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7487	4.7520052	44599.163	10.329881	19.753707	2000-2009 –> 2010-2019	9.122846	4.3708413	86684.595	25.590544	1	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7487	4.7607774	44626.779	53.180383	19.672540	2000-2009 –> 2010-2019	9.131495	4.3707172	86711.798	104.237828	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7487	4.7807060	44689.330	10.334440	19.705433	2000-2009 –> 2010-2019	9.156384	4.3756783	86790.841	25.584447	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	7487	4.8765071	44984.429	7.661914	18.306140	2000-2009 –> 2010-2019	9.248634	4.3721267	87072.135	16.908910	6	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	7487	4.7646278	44636.885	8.640278	19.800376	2000-2009 –> 2010-2019	9.315584	4.5509567	87307.390	20.935392	3	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	7487	4.7851628	44701.283	34.399911	19.582926	2000-2009 –> 2010-2019	9.316918	4.5317558	87310.320	70.085904	5	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	7487	4.8866267	45015.470	8.526949	20.885374	2000-2009 –> 2010-2019	9.318042	4.4314154	87298.996	20.662940	8	13
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + silicate + phosphate_star	7487	4.8798440	44992.672	1.928265	17.651513	2000-2009 –> 2010-2019	9.458412	4.5785675	87749.112	4.538939	7	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7487	5.1803137	45889.403	9.887069	22.861524	2000-2009 –> 2010-2019	9.638074	4.4577599	88259.101	19.301210	9	15
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7487	5.1870659	45908.908	7.920857	23.057373	2000-2009 –> 2010-2019	9.645010	4.4579436	88279.205	17.153525	10	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7051	3.7534669	38676.304	15.313334	14.861252	1982-1999 –> 2000-2009	7.048874	3.2954070	62141.288	28.914686	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7051	3.7691132	38734.965	56.282441	15.026667	1982-1999 –> 2000-2009	7.071133	3.3020194	62217.951	106.405635	2	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7051	3.7773229	38765.648	23.088482	15.237255	1982-1999 –> 2000-2009	7.082102	3.3047795	62256.137	42.963949	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate	7051	3.8811068	39145.881	4.991902	17.369066	1982-1999 –> 2000-2009	7.287091	3.4059840	62905.243	10.751123	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	7051	3.9655171	39449.298	11.659663	19.553348	1982-1999 –> 2000-2009	7.400833	3.4353156	63285.663	22.988919	5	10
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	7051	4.0715535	39821.426	34.192318	21.102849	1982-1999 –> 2000-2009	7.635403	3.5638491	63987.648	69.314718	6	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	7051	4.2797859	40524.811	19.001550	24.245228	1982-1999 –> 2000-2009	7.983283	3.7034967	65036.190	36.458290	7	14
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7051	4.3618584	40792.682	4.168043	20.366909	1982-1999 –> 2000-2009	8.258701	3.8968430	65761.047	9.993941	10	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7051	4.3631109	40796.730	9.523143	20.377591	1982-1999 –> 2000-2009	8.261910	3.8987991	65769.602	19.439420	11	20
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate_star	7051	4.3742422	40830.662	2.473645	21.743738	1982-1999 –> 2000-2009	8.278441	3.9041988	65813.963	5.049395	12	22
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	8061	3.6929862	43952.479	13.347888	15.425340	2000-2009 –> 2010-2019	7.446453	3.7534669	82628.782	28.661222	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	8061	3.7172722	44058.154	49.832333	15.441394	2000-2009 –> 2010-2019	7.486385	3.7691132	82793.119	106.114775	2	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	8061	3.7200392	44070.150	19.271945	15.430763	2000-2009 –> 2010-2019	7.497362	3.7773229	82835.798	42.360427	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate	8061	3.7277405	44101.491	4.553424	15.694493	2000-2009 –> 2010-2019	7.608847	3.8811068	83247.372	9.545326	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	8061	4.3234005	46491.416	9.987566	23.331055	2000-2009 –> 2010-2019	8.288918	3.9655171	85940.714	21.647229	5	10
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	8061	4.4996697	47135.680	28.912502	24.269416	2000-2009 –> 2010-2019	8.571223	4.0715535	86957.106	63.104820	6	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	8061	4.6340107	47609.969	4.463316	18.051631	2000-2009 –> 2010-2019	8.973500	4.3394893	88330.144	8.454020	7	15
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	8061	4.8015906	48182.694	15.313802	27.380300	2000-2009 –> 2010-2019	9.081376	4.2797859	88707.505	34.315352	9	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + silicate + phosphate_star	8061	4.7354988	47957.241	1.628365	22.025887	2000-2009 –> 2010-2019	9.082018	4.3465196	88698.244	3.810685	8	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	8061	4.9326272	48616.771	9.150627	19.936275	2000-2009 –> 2010-2019	9.295738	4.3631109	89413.502	18.673770	10	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3031	2.1626722	13291.496	21.420668	9.881431	1982-1999 –> 2000-2009	4.122367	1.9596946	22178.603	39.945728	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3031	2.1818780	13345.093	56.387069	9.965459	1982-1999 –> 2000-2009	4.158779	1.9769011	22269.282	104.018098	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3031	2.1847790	13353.147	60.236638	10.023342	1982-1999 –> 2000-2009	4.165201	1.9804217	22284.885	111.580349	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate	3031	2.1919650	13371.053	9.065238	10.236252	1982-1999 –> 2000-2009	4.191032	1.9990670	22340.541	18.947181	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3031	2.6935528	14620.205	8.831580	11.320908	1982-1999 –> 2000-2009	5.076949	2.3833959	24335.631	18.752250	5	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3031	2.7000680	14634.850	14.047053	11.369549	1982-1999 –> 2000-2009	5.090860	2.3907917	24363.419	25.944637	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	3031	2.7188706	14676.918	29.808817	11.560272	1982-1999 –> 2000-2009	5.122915	2.4040447	24428.937	55.146434	7	14
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	3031	3.0957386	15463.826	20.922988	15.058744	1982-1999 –> 2000-2009	5.819809	2.7240706	25745.987	39.313506	9	17
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3031	3.0689109	15411.064	8.894234	11.669148	1982-1999 –> 2000-2009	6.144575	3.0756644	26208.177	18.787747	8	19
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + phosphate	3031	3.3096214	15866.812	7.402826	13.079868	1982-1999 –> 2000-2009	6.294065	2.9844439	26534.209	17.084404	11	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3676	2.2519941	16414.508	18.938191	14.495871	2000-2009 –> 2010-2019	4.414666	2.1626722	29706.004	40.358858	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3676	2.2709245	16476.051	51.073670	14.690529	2000-2009 –> 2010-2019	4.452803	2.1818780	29821.144	107.460739	3	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3676	2.2695357	16471.553	47.546002	14.675488	2000-2009 –> 2010-2019	4.454315	2.1847790	29824.701	107.782640	2	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate	3676	2.2730557	16480.947	8.859621	14.688223	2000-2009 –> 2010-2019	4.465021	2.1919650	29852.001	17.924859	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3676	3.1261434	18823.846	9.429435	14.799777	2000-2009 –> 2010-2019	5.819696	2.6935528	33444.052	18.261015	5	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3676	3.1304204	18833.898	12.602795	14.846491	2000-2009 –> 2010-2019	5.830488	2.7000680	33468.748	26.649847	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	3676	3.1479257	18874.896	22.309760	15.031404	2000-2009 –> 2010-2019	5.866796	2.7188706	33551.814	52.118576	7	14
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	3676	3.2454977	19099.316	18.286624	23.151162	2000-2009 –> 2010-2019	6.341236	3.0957386	34563.142	39.209612	8	17
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3676	3.3337227	19296.503	9.156577	14.984781	2000-2009 –> 2010-2019	6.402634	3.0689109	34707.567	18.050811	9	17
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + phosphate_star	3676	3.3345293	19296.281	7.028000	14.980019	2000-2009 –> 2010-2019	6.454144	3.1196145	34804.681	14.010603	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4092	1.6928693	15934.854	19.720122	7.879515	1982-1999 –> 2000-2009	3.084825	1.3919558	26282.277	38.677643	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4092	1.7086290	16010.690	101.460192	7.963707	1982-1999 –> 2000-2009	3.115904	1.4072750	26422.757	196.868866	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4092	1.7097263	16015.945	40.567053	7.965601	1982-1999 –> 2000-2009	3.117351	1.4076248	26429.479	80.776542	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate	4092	1.7107260	16018.729	9.490337	7.955154	1982-1999 –> 2000-2009	3.118443	1.4077174	26430.652	18.592087	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4092	2.2250800	18170.098	9.202808	8.867507	1982-1999 –> 2000-2009	3.936532	1.7114515	29735.890	18.429952	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4092	2.2345189	18204.741	14.945601	8.908183	1982-1999 –> 2000-2009	3.955167	1.7206482	29802.185	31.301575	6	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	4092	2.2472479	18251.229	65.313770	8.993217	1982-1999 –> 2000-2009	3.974307	1.7270588	29870.636	128.674018	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + temp + phosphate	4092	2.4517827	18962.130	8.268213	9.631011	1982-1999 –> 2000-2009	4.308534	1.8567515	31007.182	17.313458	9	17
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + silicate	4092	2.4070194	18813.330	9.612151	20.565387	1982-1999 –> 2000-2009	4.764751	2.3577315	32271.157	18.680232	8	17
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	4092	2.8681217	20247.725	19.503078	11.139719	1982-1999 –> 2000-2009	5.232278	2.3641561	33721.623	37.983459	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4322	1.8194729	17453.144	17.793826	12.258187	2000-2009 –> 2010-2019	3.512342	1.6928693	33387.998	37.513948	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4322	1.8305619	17505.665	88.651054	12.317854	2000-2009 –> 2010-2019	3.539191	1.7086290	33516.356	190.111247	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4322	1.8317034	17511.054	37.675332	12.317060	2000-2009 –> 2010-2019	3.541430	1.7097263	33526.999	78.242385	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate	4322	1.8336679	17518.320	6.556655	12.289675	2000-2009 –> 2010-2019	3.544394	1.7107260	33537.049	16.046993	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4322	2.3947504	19825.928	7.086212	13.509662	2000-2009 –> 2010-2019	4.619830	2.2250800	37996.026	16.289020	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4322	2.4002917	19845.907	14.866932	13.537172	2000-2009 –> 2010-2019	4.634811	2.2345189	38050.648	29.812533	6	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	4322	2.4093183	19878.353	59.680715	13.600273	2000-2009 –> 2010-2019	4.656566	2.2472479	38129.582	124.994485	8	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + silicate	4322	2.4074101	19871.504	6.551355	19.371035	2000-2009 –> 2010-2019	4.814430	2.4070194	38684.835	16.163506	7	15
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + temp + phosphate	4322	2.5940437	20514.921	5.921723	13.985559	2000-2009 –> 2010-2019	5.045826	2.4517827	39477.051	14.189937	9	18
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	4322	2.9968381	21764.594	16.837945	15.768651	2000-2009 –> 2010-2019	5.864960	2.8681217	42012.319	36.341023	12	22
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6005	1.5341692	22195.600	24.836226	9.980754	1982-1999 –> 2000-2009	2.781370	1.2472005	38526.007	47.964140	1	2
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6005	1.5395993	22238.033	316.793023	9.991912	1982-1999 –> 2000-2009	2.802731	1.2631316	38694.733	601.273145	2	5
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6005	1.5437834	22270.628	36.086871	10.056358	1982-1999 –> 2000-2009	2.803437	1.2596536	38699.892	69.345590	3	5
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate	6005	1.5627754	22415.477	13.402968	10.375982	1982-1999 –> 2000-2009	2.831925	1.2691496	38917.469	30.397094	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + silicate	6005	1.5891366	22616.374	13.109262	9.442688	1982-1999 –> 2000-2009	3.068329	1.4791925	40642.201	29.313470	5	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6005	1.7775373	23961.951	23.727666	10.979658	1982-1999 –> 2000-2009	3.108556	1.3310190	40937.540	46.848918	6	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	6005	1.7808103	23984.044	301.653721	10.958231	1982-1999 –> 2000-2009	3.127444	1.3466337	41075.682	578.553844	7	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6005	1.7871467	24026.702	35.817252	11.050289	1982-1999 –> 2000-2009	3.130719	1.3435722	41095.692	68.992957	8	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + temp + phosphate	6005	1.8159103	24216.460	13.286762	11.506331	1982-1999 –> 2000-2009	3.165929	1.3500190	41331.080	30.278435	10	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + temp + aou	6005	1.7923381	24059.539	12.654974	10.618982	1982-1999 –> 2000-2009	3.311415	1.5190770	42348.101	28.750219	9	19
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6840	1.8955598	28173.633	19.617921	14.651520	2000-2009 –> 2010-2019	3.429729	1.5341692	50369.233	44.454147	1	2
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6840	1.8984109	28194.194	275.183648	14.637691	2000-2009 –> 2010-2019	3.438010	1.5395993	50432.227	591.976671	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6840	1.9051350	28242.563	29.178545	14.705053	2000-2009 –> 2010-2019	3.448918	1.5437834	50513.191	65.265416	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + silicate	6840	1.9094767	28271.703	8.980114	14.398054	2000-2009 –> 2010-2019	3.498613	1.5891366	50888.077	22.089376	4	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate	6840	1.9470843	28538.515	9.280236	15.131719	2000-2009 –> 2010-2019	3.509860	1.5627754	50953.991	22.683203	5	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6840	2.0433921	29198.961	18.240212	14.958697	2000-2009 –> 2010-2019	3.820929	1.7775373	53160.911	41.967879	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	6840	2.0435951	29200.319	255.443260	14.926077	2000-2009 –> 2010-2019	3.824405	1.7808103	53184.364	557.096981	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + temp + aou	6840	2.0435969	29198.332	8.663830	14.922449	2000-2009 –> 2010-2019	3.835935	1.7923381	53257.871	21.318804	8	17
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6840	2.0522189	29257.927	28.571966	15.008100	2000-2009 –> 2010-2019	3.839365	1.7871467	53284.628	64.389218	9	17
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + temp + phosphate	6840	2.1164367	29677.439	9.208906	15.593000	2000-2009 –> 2010-2019	3.932347	1.8159103	53893.899	22.495668	10	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3266	1.0926107	9861.046	62.388484	6.980820	1982-1999 –> 2000-2009	2.287341	1.1947307	19114.474	111.798991	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3266	1.0948742	9874.563	62.392261	6.990811	1982-1999 –> 2000-2009	2.293447	1.1985725	19146.567	111.799448	3	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3266	1.0934177	9865.868	284.876245	6.971350	1982-1999 –> 2000-2009	2.293598	1.2001803	19145.628	563.727810	2	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3266	1.1043036	9928.578	59.795735	6.879082	1982-1999 –> 2000-2009	2.337991	1.2336873	19365.660	106.755500	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	3266	1.1048769	9931.968	246.233737	6.869672	1982-1999 –> 2000-2009	2.343210	1.2383332	19390.798	491.950997	5	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3266	1.1064259	9941.120	59.814422	6.889090	1982-1999 –> 2000-2009	2.343644	1.2372181	19394.737	106.752086	6	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate	3266	1.1484493	10184.618	30.574499	8.008334	1982-1999 –> 2000-2009	2.367308	1.2188585	19551.731	59.866503	9	13
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate	3266	1.1695809	10301.715	30.138174	7.976624	1982-1999 –> 2000-2009	2.417275	1.2476938	19802.117	59.000105	10	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + silicate	3266	1.1128271	9978.801	27.245217	6.339309	1982-1999 –> 2000-2009	2.555038	1.4422112	20319.483	53.623317	7	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + aou	3266	1.1163596	9997.503	26.864888	6.385533	1982-1999 –> 2000-2009	2.558910	1.4425501	20337.544	53.234323	8	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4670	1.5569729	17402.110	48.631431	13.243988	2000-2009 –> 2010-2019	2.649584	1.0926107	27263.156	111.019916	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4670	1.5583938	17410.630	237.770054	13.247550	2000-2009 –> 2010-2019	2.651811	1.0934177	27276.498	522.646299	3	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4670	1.5597021	17418.467	48.651845	13.286923	2000-2009 –> 2010-2019	2.654576	1.0948742	27293.031	111.044106	5	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4670	1.5574814	17403.160	45.036182	13.180986	2000-2009 –> 2010-2019	2.661785	1.1043036	27331.738	104.831917	2	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	4670	1.5588114	17411.132	209.194968	13.189438	2000-2009 –> 2010-2019	2.663688	1.1048769	27343.101	455.428705	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4670	1.5601483	17419.139	45.076674	13.227356	2000-2009 –> 2010-2019	2.666574	1.1064259	27360.259	104.891097	6	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + silicate	4670	1.5773703	17521.676	15.246324	12.727457	2000-2009 –> 2010-2019	2.690197	1.1128271	27500.477	42.491541	9	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + aou	4670	1.5782171	17524.688	14.803000	12.777083	2000-2009 –> 2010-2019	2.694577	1.1163596	27522.192	41.667888	10	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate	4670	1.5730490	17496.053	17.403715	13.668002	2000-2009 –> 2010-2019	2.721498	1.1484493	27680.671	47.978214	7	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate	4670	1.5749770	17505.494	17.098192	13.569604	2000-2009 –> 2010-2019	2.744558	1.1695809	27807.209	47.236366	8	18
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6129	1.2074067	19717.674	42.375176	5.193923	1982-1999 –> 2000-2009	2.627949	1.4205422	36857.973	67.269516	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6129	1.2078279	19721.949	42.338267	5.187395	1982-1999 –> 2000-2009	2.628763	1.4209355	36864.927	67.232434	3	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6129	1.2084719	19728.483	94.125898	5.178245	1982-1999 –> 2000-2009	2.630403	1.4219311	36878.237	158.595475	5	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6129	1.2074988	19716.608	22.463730	5.221936	1982-1999 –> 2000-2009	2.638541	1.4310418	36926.162	39.761593	2	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6129	1.2079252	19720.936	22.465345	5.216141	1982-1999 –> 2000-2009	2.639345	1.4314198	36933.046	39.763714	4	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	6129	1.2085788	19727.567	52.859436	5.208273	1982-1999 –> 2000-2009	2.640987	1.4324082	36946.355	100.457944	6	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6129	1.2611311	20249.315	5.318585	4.524559	1982-1999 –> 2000-2009	2.900732	1.6396013	38775.292	10.519711	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	6129	1.3005803	20624.880	3.023263	6.161932	1982-1999 –> 2000-2009	2.949038	1.6484573	39200.980	5.785854	16	24
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6129	1.2738539	20372.360	6.338451	4.549525	1982-1999 –> 2000-2009	2.951019	1.6771648	39117.514	12.214880	8	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate	6129	1.3130412	20743.766	30.151492	4.942827	1982-1999 –> 2000-2009	2.969253	1.6562120	39367.277	50.793053	17	26
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7636	1.4912298	27786.738	25.467405	11.571632	2000-2009 –> 2010-2019	2.698637	1.2074067	47504.412	67.842581	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7636	1.4913780	27788.256	25.447262	11.576768	2000-2009 –> 2010-2019	2.699206	1.2078279	47510.205	67.785529	2	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7636	1.4917677	27792.246	84.226510	11.585771	2000-2009 –> 2010-2019	2.700240	1.2084719	47520.728	178.352408	3	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7636	1.5027091	27901.849	13.967340	12.515064	2000-2009 –> 2010-2019	2.710208	1.2074988	47618.458	36.431071	12	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7636	1.5029188	27903.980	13.971740	12.523978	2000-2009 –> 2010-2019	2.710844	1.2079252	47624.917	36.437084	14	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	7636	1.5034508	27909.385	47.485486	12.540426	2000-2009 –> 2010-2019	2.712029	1.2085788	47636.952	100.344922	15	21
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	7636	1.4950094	27823.397	4.791774	12.304611	2000-2009 –> 2010-2019	2.756140	1.2611311	48072.712	10.110359	10	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	7636	1.4929302	27802.143	6.610865	12.044001	2000-2009 –> 2010-2019	2.766784	1.2738539	48174.502	12.949317	8	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	7636	1.4924072	27796.791	4.299494	11.571027	2000-2009 –> 2010-2019	2.779738	1.2873307	48298.153	9.035507	5	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	7636	1.4925224	27797.970	7.220398	11.574022	2000-2009 –> 2010-2019	2.779911	1.2873883	48299.880	14.461871	6	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3196	1.3777437	11132.153	39.947022	7.774648	1982-1999 –> 2000-2009	3.218069	1.8403254	21152.594	75.449905	2	3
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3196	1.3784553	11135.454	9.718101	7.773262	1982-1999 –> 2000-2009	3.219332	1.8408766	21157.372	23.194273	7	10
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3196	1.3787730	11136.927	11.125489	7.769338	1982-1999 –> 2000-2009	3.219485	1.8407117	21158.403	24.619380	8	10
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3196	1.3776745	11131.832	15.505429	7.781704	1982-1999 –> 2000-2009	3.222192	1.8445173	21163.495	37.502435	1	7
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3196	1.4491535	11453.157	3.293659	7.163361	1982-1999 –> 2000-2009	3.291320	1.8421665	21476.529	7.379572	21	25
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3196	1.3808584	11144.588	39.305689	7.855793	1982-1999 –> 2000-2009	3.292293	1.9114345	21350.008	60.069125	13	22
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3196	1.3818934	11149.377	3.676194	7.850170	1982-1999 –> 2000-2009	3.294035	1.9121416	21356.622	7.548854	19	29
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3196	1.3815331	11147.710	2.963954	7.853949	1982-1999 –> 2000-2009	3.294911	1.9133777	21358.142	4.827099	17	28
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate	3196	1.3808378	11144.492	4.870149	7.862874	1982-1999 –> 2000-2009	3.296686	1.9158478	21361.287	12.243344	11	23
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	3196	1.4780038	11579.161	9.563455	9.085997	1982-1999 –> 2000-2009	3.324123	1.8461194	21613.105	17.458090	23	30
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4129	1.4609917	14862.330	15.861628	21.594732	2000-2009 –> 2010-2019	2.838666	1.3776745	25994.162	31.367057	2	3
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4129	1.4609440	14862.060	29.957726	21.594383	2000-2009 –> 2010-2019	2.838688	1.3777437	25994.213	69.904748	1	3
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + silicate + phosphate	4129	1.4614761	14863.067	11.858363	21.603355	2000-2009 –> 2010-2019	2.839900	1.3784236	25996.374	22.998308	5	10
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4129	1.4616733	14866.182	10.432199	21.595146	2000-2009 –> 2010-2019	2.840129	1.3784553	26001.636	20.150300	6	13
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4129	1.4620408	14868.257	14.398727	21.591748	2000-2009 –> 2010-2019	2.840814	1.3787730	26005.185	25.524216	8	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4129	1.4613589	14862.405	26.336555	21.522919	2000-2009 –> 2010-2019	2.842217	1.3808584	26006.992	65.642245	3	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate	4129	1.4613973	14862.622	5.059398	21.524092	2000-2009 –> 2010-2019	2.842235	1.3808378	26007.114	9.929547	4	15
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + phosphate	4129	1.4617211	14862.451	3.355040	21.545655	2000-2009 –> 2010-2019	2.842645	1.3809241	26005.343	7.076133	7	22
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4129	1.4621052	14866.621	2.822427	21.522197	2000-2009 –> 2010-2019	2.843638	1.3815331	26014.331	5.786380	9	26
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + silicate + phosphate	4129	1.4662536	14890.018	15.747157	21.795891	2000-2009 –> 2010-2019	2.844346	1.3780924	26021.789	29.558225	12	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	629	0.7197466	1385.324	35.755267	4.577357	1982-1999 –> 2000-2009	1.435640	0.7158931	2872.366	59.320059	4	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	629	0.7193463	1384.624	6.107624	4.569950	1982-1999 –> 2000-2009	1.435795	0.7164486	2872.719	10.064765	3	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	629	0.7192998	1384.543	7.730783	4.569155	1982-1999 –> 2000-2009	1.435813	0.7165135	2872.761	12.986214	2	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	629	0.7191533	1384.286	177.154706	4.565981	1982-1999 –> 2000-2009	1.435817	0.7166641	2872.790	269.727861	1	5
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	629	0.7563778	1445.773	6.065747	4.678053	1982-1999 –> 2000-2009	1.517548	0.7611702	3014.096	10.405744	5	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	629	0.7764830	1478.775	6.076803	4.611800	1982-1999 –> 2000-2009	1.575476	0.7989927	3112.954	9.731185	6	12
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	629	0.7905785	1501.407	29.441526	2.713196	1982-1999 –> 2000-2009	1.660723	0.8701443	3251.433	52.545263	10	17
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	629	0.7899780	1500.451	4.901638	2.713924	1982-1999 –> 2000-2009	1.661093	0.8711148	3251.990	8.846678	9	17
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	629	0.7899350	1500.382	6.096102	2.713957	1982-1999 –> 2000-2009	1.661098	0.8711627	3251.997	10.984132	8	17
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	629	0.7897480	1500.085	166.806144	2.711850	1982-1999 –> 2000-2009	1.661147	0.8713990	3252.067	256.583745	7	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1121	0.6154765	2107.086	95.213097	3.996841	2000-2009 –> 2010-2019	1.334630	0.7191533	3491.373	272.367804	4	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1121	0.6154637	2107.040	8.373769	3.998969	2000-2009 –> 2010-2019	1.334763	0.7192998	3491.582	16.104552	3	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1121	0.6154572	2107.016	4.378786	4.000121	2000-2009 –> 2010-2019	1.334803	0.7193463	3491.640	10.486410	2	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1121	0.6154250	2106.899	8.417369	4.006015	2000-2009 –> 2010-2019	1.335172	0.7197466	3492.223	44.172636	1	5
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	1121	0.6434728	2204.817	8.369750	4.258671	2000-2009 –> 2010-2019	1.399851	0.7563778	3650.590	14.435496	5	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1121	0.6764861	2316.989	91.071710	3.362074	2000-2009 –> 2010-2019	1.466234	0.7897480	3817.074	257.877854	6	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	1121	0.6767023	2317.706	6.423984	3.364453	2000-2009 –> 2010-2019	1.466637	0.7899350	3818.088	12.520087	7	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1121	0.6767404	2317.832	4.373435	3.364945	2000-2009 –> 2010-2019	1.466718	0.7899780	3818.283	9.275073	8	17
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1121	0.6771182	2319.083	8.406771	3.368034	2000-2009 –> 2010-2019	1.467697	0.7905785	3820.490	37.848297	9	19
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1121	0.6921039	2368.161	4.264442	4.437002	2000-2009 –> 2010-2019	1.468587	0.7764830	3846.936	10.341245	10	16

5.4.2 per fitting unit

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

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2009	15.614146	5254.118
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	14.689321	5432.351
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	14.079300	4128.740
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	12.379167	4413.038
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	10.879219	3778.909
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	11.818610	3392.859
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	10.983297	7771.172
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	11.299174	6861.789
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	10.165077	13714.575
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	10.796520	12503.793
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	8.817644	26291.095
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	9.710633	25347.207
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	11.009728	42255.074
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	12.531884	45390.787
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	9.912186	17064.641
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	11.271746	20021.020
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	8.836839	34597.781
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	10.724707	44326.525
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.229772	48186.013
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	7.687278	50397.453
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	7.204386	11135.328
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	8.433347	13147.152
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	8.825211	10832.370
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	10.483550	13910.446
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	8.641328	7483.279
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	9.267150	9803.930
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	4.771358	10748.827
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	4.643328	12986.894
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	18.606832	46225.612
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	18.462116	66824.009
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	18.297891	37603.734
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	19.817362	39985.427
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	14.482779	31294.350
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	15.520271	35590.842
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	11.901825	37937.404
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	11.634641	45238.755
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.852530	54066.852
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	8.642845	67232.205
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	8.977502	74044.794
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	9.335140	87346.349
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	7.630777	63917.473
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	8.333182	85955.229
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	5.018655	24068.967
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	5.450180	32374.385
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.860809	29197.384
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	4.377378	36831.886
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.013186	40226.840
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.657811	51993.839
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.379776	19556.874
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.679885	27437.833
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.757603	37786.776
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.731374	47826.092
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	3.267244	21314.756
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	2.841328	26004.714
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	1.548015	3062.517
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	1.407509	3673.828

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

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	phosphate	phosphate_star	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	6	8	6	5	10	8
(26,26.5]	8	6	5	7	10	7
(26.5,26.75]	7	6	6	7	10	7
(26.75,27]	6	6	4	5	10	10
(27,27.25]	8	7	4	6	8	9
(27.25,27.5]	7	7	6	6	10	6
(27.5,27.75]	6	6	7	10	7	7
(27.75,27.85]	7	8	6	8	10	5
(27.85,27.95]	7	7	7	6	10	7
(27.95,28.05]	8	8	6	10	5	6
(28.05,28.1]	6	7	8	6	9	8
(28.1,28.15]	9	8	7	7	6	6
(28.15,28.2]	6	6	7	5	10	8
(28.2, Inf]	7	7	6	10	6	8
total	98.00	97.00	85.00	98.00	121.00	102.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	7	6	6	10	8
(26,26.5]	7	7	6	9	10	5
(26.5,26.75]	8	5	5	6	10	8
(26.75,27]	8	5	5	6	10	8
(27,27.25]	8	7	4	6	8	9
(27.25,27.5]	6	6	7	7	10	7
(27.5,27.75]	6	6	8	8	10	6
(27.75,27.85]	7	7	8	7	10	5
(27.85,27.95]	8	7	7	6	10	6
(27.95,28.05]	8	8	6	10	5	6
(28.05,28.1]	8	8	7	6	8	7
(28.1,28.15]	10	9	5	6	6	5
(28.15,28.2]	6	6	7	5	10	8
(28.2, Inf]	7	7	6	10	6	8
total	104.00	95.00	87.00	98.00	123.00	96.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	6	5	7	10	6	9
(26,26.5]	6	7	5	9	10	5
(26.5,26.75]	6	6	7	5	10	8
(26.75,27]	6	6	7	5	10	8
(27,27.25]	6	6	7	5	10	8
(27.25,27.5]	6	5	7	10	8	6
(27.5,27.75]	6	6	7	10	7	6
(27.75,27.85]	5	6	6	10	6	9
(27.85,27.95]	6	6	5	10	6	9
(27.95,28.05]	6	6	4	10	5	10
(28.05,28.1]	6	6	4	10	5	10
(28.1,28.2]	6	6	7	10	6	7
(28.2,28.3]	7	6	8	10	6	7
(28.3, Inf]	8	7	7	10	6	6
total	86.00	84.00	88.00	124.00	101.00	108.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	5	6	5	10	8	9
(26,26.5]	5	6	7	9	10	5
(26.5,26.75]	6	6	7	5	10	8
(26.75,27]	6	6	8	4	9	8
(27,27.25]	6	6	8	4	9	8
(27.25,27.5]	5	5	8	10	8	6
(27.5,27.75]	4	6	7	10	9	6
(27.75,27.85]	5	5	7	10	6	9
(27.85,27.95]	6	6	5	10	6	9
(27.95,28.05]	6	6	4	10	5	10
(28.05,28.1]	6	6	4	10	5	10
(28.1,28.2]	6	6	8	8	7	8
(28.2,28.3]	9	8	5	9	6	6
(28.3, Inf]	8	7	7	10	6	6
total	83.00	85.00	90.00	119.00	104.00	108.00

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

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

Past versions of aic_vs_rmse_selected_models-1.png

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

Session information

sessionInfo()

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

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

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

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

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

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