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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Cache: none

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File paths: relative

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Repository version: c795139

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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	50f0a16	Donghe-Zhu	2021-07-31	Build site.
html	1682579	Donghe-Zhu	2021-07-31	Build site.
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html	400c457	Donghe-Zhu	2021-07-29	Build site.
html	3ba7852	Donghe-Zhu	2021-07-29	Build site.
html	422d5fd	Donghe-Zhu	2021-07-29	Build site.
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html	a4ddd84	Donghe-Zhu	2021-07-27	Build site.
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html	d19760f	Donghe-Zhu	2021-07-27	Build site.
html	cac5680	Donghe-Zhu	2021-07-23	Build site.
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html	419cb72	Donghe-Zhu	2021-07-22	Build site.
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html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
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html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
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html	3d4ac14	Donghe-Zhu	2021-07-15	Build site.
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html	c9bdd83	Donghe-Zhu	2021-07-04	Build site.
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.
html	90a9da5	Donghe-Zhu	2021-06-25	Build site.
html	bb413c8	Donghe-Zhu	2021-06-25	Build site.
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html	d517836	Donghe-Zhu	2021-06-24	0
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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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html	e377833	Donghe-Zhu	2021-05-26	Build site.
Rmd	896faa0	Donghe-Zhu	2021-05-18	final
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html	cd5f759	Donghe-Zhu	2021-03-28	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, aou, nitrate, phosphate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 26

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	250	5.3396497	1561.049297	201.129690	15.6982126	1982-1999 –> 2000-2009	9.8759075	4.5362578	3902.29579	515.251626	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	250	5.8249986	1602.548648	95.824276	15.2723238	1982-1999 –> 2000-2009	10.9195390	5.0945404	4033.95239	219.712931	3	5
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	250	5.7400834	1595.206137	52.667985	16.3217756	1982-1999 –> 2000-2009	10.9415713	5.2014879	4043.10544	125.148178	2	5
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	250	5.8395057	1601.792342	52.667895	14.6826550	1982-1999 –> 2000-2009	11.0459913	5.2064856	4048.45417	124.680695	4	8
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	250	6.1109298	1626.508734	69.855991	15.6150710	1982-1999 –> 2000-2009	11.5522217	5.4412919	4110.19504	163.723054	5	10
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate	250	6.2164957	1633.072442	66.918205	18.1311255	1982-1999 –> 2000-2009	11.9936963	5.7772007	4162.32152	153.976163	6	13
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	250	6.5312934	1657.771767	51.964021	16.3176959	1982-1999 –> 2000-2009	12.1113053	5.5800119	4159.44654	123.132672	7	13
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	250	6.5745045	1663.068870	61.582976	17.0735784	1982-1999 –> 2000-2009	12.7115038	6.1369994	4242.28879	153.543582	8	16
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + nitrate + phosphate	250	6.5745517	1661.072460	14.483204	17.0827206	1982-1999 –> 2000-2009	12.7251733	6.1506216	4240.05286	32.741450	9	18
Atlantic	(-Inf,26]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	250	6.5814065	1661.593507	40.067382	17.2519897	1982-1999 –> 2000-2009	12.7772914	6.1958849	4246.39567	85.631736	10	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	318	4.5697386	1882.818927	192.652761	16.4653651	2000-2009 –> 2010-2019	9.9093884	5.3396497	3443.86822	393.782451	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	318	5.0933278	1949.809287	39.062803	13.0914963	2000-2009 –> 2010-2019	10.8334112	5.7400834	3545.01542	91.730788	3	5
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	318	5.0874099	1949.069890	80.161140	15.5569858	2000-2009 –> 2010-2019	10.9124085	5.8249986	3551.61854	175.985417	2	5
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	318	5.1560263	1955.590596	33.734607	14.4887442	2000-2009 –> 2010-2019	10.9955319	5.8395057	3557.38294	86.402501	4	8
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	318	5.4007718	1987.085541	37.688042	14.3820613	2000-2009 –> 2010-2019	11.5117016	6.1109298	3613.59427	107.544033	5	10
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate	318	5.4730893	1993.545199	36.934099	12.8624623	2000-2009 –> 2010-2019	11.6895850	6.2164957	3626.61764	103.852304	6	12
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	318	5.6695980	2015.980090	34.592724	16.7818774	2000-2009 –> 2010-2019	12.2008914	6.5312934	3673.75186	86.556746	7	14
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	318	6.1968340	2074.533408	51.223475	15.8092729	2000-2009 –> 2010-2019	12.7713385	6.5745045	3737.60228	112.806451	8	16
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + nitrate + phosphate	318	6.3288394	2085.939235	15.077261	15.2725892	2000-2009 –> 2010-2019	12.9033910	6.5745517	3747.01169	29.560466	10	19
Atlantic	(-Inf,26]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	318	6.3260673	2085.660603	43.942269	14.1305743	2000-2009 –> 2010-2019	12.9074738	6.5814065	3747.25411	84.009651	9	19
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	931	3.4779074	4974.917676	363.631786	19.7788231	1982-1999 –> 2000-2009	8.8038539	5.3259465	13253.66617	572.790891	1	2
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	931	4.0461642	5254.710005	91.440963	15.3767693	1982-1999 –> 2000-2009	9.4527503	5.4065862	13571.64183	204.131470	2	4
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	931	4.4911161	5450.976073	510.924726	20.5443429	1982-1999 –> 2000-2009	10.1993528	5.7082367	13915.08550	882.607120	3	6
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	931	4.5423869	5470.112313	146.471575	22.6656183	1982-1999 –> 2000-2009	10.3791352	5.8367483	13991.75483	285.147016	4	9
Atlantic	(26,26.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	931	5.0234366	5659.544352	393.532802	23.2088309	1982-1999 –> 2000-2009	10.9743502	5.9509136	14234.98466	596.080682	5	12
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	931	5.2544694	5741.268715	55.845754	20.5271294	1982-1999 –> 2000-2009	11.0247904	5.7703210	14232.30425	127.929592	7	11
Atlantic	(26,26.5]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	931	5.1119551	5690.069113	260.964514	25.1346307	1982-1999 –> 2000-2009	11.0731911	5.9612360	14268.14372	450.202721	6	14
Atlantic	(26,26.5]	3	cstar_tref ~ sal + nitrate + phosphate	931	5.5068578	5828.624742	393.192598	23.2468841	1982-1999 –> 2000-2009	11.4758822	5.9690243	14410.19062	594.752101	8	17
Atlantic	(26,26.5]	2	cstar_tref ~ nitrate + phosphate	931	5.6424593	5871.919407	94.101779	19.3646664	1982-1999 –> 2000-2009	11.6133417	5.9708824	14452.31753	190.530442	9	19
Atlantic	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	931	5.9732032	5979.985121	441.974108	26.5895956	1982-1999 –> 2000-2009	11.8879338	5.9147306	14537.11722	1263.356200	10	16
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1138	5.5542871	7143.865584	179.899897	55.0867584	2000-2009 –> 2010-2019	9.0321944	3.4779074	12118.78326	543.531683	1	2
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	1138	5.6020426	7161.350910	76.000593	48.5042605	2000-2009 –> 2010-2019	9.6482068	4.0461642	12416.06091	167.441556	2	4
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1138	6.0450735	7336.582634	291.365948	37.0448936	2000-2009 –> 2010-2019	10.5361896	4.4911161	12787.55871	802.290673	3	6
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	1138	6.4114305	7468.499690	98.713966	52.3178372	2000-2009 –> 2010-2019	10.9538174	4.5423869	12938.61200	245.185541	6	10
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	1138	6.1007496	7355.449024	50.885655	29.0975090	2000-2009 –> 2010-2019	11.3552191	5.2544694	13096.71774	106.731409	5	12
Atlantic	(26,26.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1138	6.4416806	7481.212918	183.772408	34.9969004	2000-2009 –> 2010-2019	11.4651172	5.0234366	13140.75727	577.305211	7	12
Atlantic	(26,26.5]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1138	6.5509848	7517.508724	157.015252	42.1459836	2000-2009 –> 2010-2019	11.6629399	5.1119551	13207.57784	417.979766	9	15
Atlantic	(26,26.5]	3	cstar_tref ~ sal + nitrate + phosphate	1138	6.5224624	7507.577600	183.352282	35.9479549	2000-2009 –> 2010-2019	12.0293203	5.5068578	13336.20234	576.544880	8	16
Atlantic	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	1138	6.0951869	7353.372814	493.151683	30.1030417	2000-2009 –> 2010-2019	12.0683902	5.9732032	13333.35793	935.125791	4	14
Atlantic	(26,26.5]	2	cstar_tref ~ nitrate + phosphate	1138	6.5509988	7515.513598	53.291762	42.2607813	2000-2009 –> 2010-2019	12.1934581	5.6424593	13387.43300	147.393542	10	19
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1005	2.9832127	5060.998107	762.895354	27.9331930	1982-1999 –> 2000-2009	6.6557434	3.6725307	12476.34684	1060.668722	1	2
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	1005	3.1227322	5150.870152	107.689280	19.4051697	1982-1999 –> 2000-2009	6.8005556	3.6778234	12568.13893	192.753555	3	5
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	1005	3.0834202	5125.405734	215.633211	34.3944442	1982-1999 –> 2000-2009	7.2183387	4.1349184	12861.54724	382.499745	2	7
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1005	3.3484013	5293.117306	860.940445	26.8495601	1982-1999 –> 2000-2009	7.2343709	3.8859696	12862.23599	1152.389463	4	7
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	1005	3.8779229	5586.218815	179.905106	13.0665442	1982-1999 –> 2000-2009	7.8783396	4.0004167	13232.34630	330.418501	5	9
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	1005	4.0457510	5671.377520	16.845023	15.8864237	1982-1999 –> 2000-2009	8.1825705	4.1368195	13408.77022	32.012935	7	13
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	1005	4.0947470	5695.573349	24.898653	16.3728578	1982-1999 –> 2000-2009	8.2756545	4.1809076	13461.82219	47.217223	8	15
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	1005	4.2931208	5790.664438	27.015673	17.2173692	1982-1999 –> 2000-2009	8.6932111	4.4000903	13695.99855	50.080128	10	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate	1005	4.0118608	5654.469364	382.545649	46.8480022	1982-1999 –> 2000-2009	8.9676761	4.9558153	13883.54898	614.846243	6	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate	1005	4.3317653	5808.676498	745.966606	37.3267741	1982-1999 –> 2000-2009	9.2533658	4.9216005	14018.89834	1037.284198	11	20
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1041	3.3216200	5465.572398	487.879411	33.6818301	2000-2009 –> 2010-2019	6.3048328	2.9832127	10526.57050	1250.774766	1	2
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	1041	3.4178040	5523.004353	170.927610	42.5486281	2000-2009 –> 2010-2019	6.5012242	3.0834202	10648.41009	386.560821	2	4
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	1041	3.4601131	5548.619277	79.221760	21.3264806	2000-2009 –> 2010-2019	6.5828452	3.1227322	10699.48943	186.911040	3	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1041	3.4668337	5554.659220	499.943619	33.1996156	2000-2009 –> 2010-2019	6.8152350	3.3484013	10847.77653	1360.884064	4	8
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	1041	4.1937700	5948.985407	135.420740	20.5662069	2000-2009 –> 2010-2019	8.0716929	3.8779229	11535.20422	315.325846	9	14
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate	1041	4.1142592	5909.133245	271.628940	55.8707856	2000-2009 –> 2010-2019	8.1261200	4.0118608	11563.60261	654.174589	6	12
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	1041	4.2229456	5963.419531	14.860655	21.6368425	2000-2009 –> 2010-2019	8.2686967	4.0457510	11634.79705	31.705678	10	17
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	1041	4.2336166	5968.673913	22.386595	21.7592155	2000-2009 –> 2010-2019	8.3283636	4.0947470	11664.24726	47.285248	11	19
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate	1041	4.0114206	5856.430851	442.111954	42.3782537	2000-2009 –> 2010-2019	8.3431859	4.3317653	11665.10735	1188.078560	5	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1041	4.1300784	5917.123113	348.316645	52.0425131	2000-2009 –> 2010-2019	8.3752530	4.2451746	11685.21329	878.285042	7	16
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1569	2.9276481	7835.466841	971.089675	18.9582203	1982-1999 –> 2000-2009	6.0213028	3.0936548	18677.70654	1848.811903	2	3
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1569	2.9257940	7833.478938	405.716398	19.3869813	1982-1999 –> 2000-2009	6.0376460	3.1118520	18700.64437	780.748044	1	3
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	1569	2.9284441	7834.319907	67.220946	17.9604396	1982-1999 –> 2000-2009	6.0403161	3.1118720	18699.51270	155.169256	3	6
Atlantic	(26.75,27]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1569	3.0533160	7967.353278	551.751495	23.3233558	1982-1999 –> 2000-2009	6.3852477	3.3319317	19124.93898	1009.478775	4	8
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	1569	3.4352678	8335.218911	114.772479	34.2146121	1982-1999 –> 2000-2009	6.8527765	3.4175087	19598.58295	281.983605	5	10
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	1569	3.5117209	8404.290363	217.518679	37.6815184	1982-1999 –> 2000-2009	7.1023226	3.5906017	19877.63825	468.017779	6	12
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	1569	3.6401572	8517.009444	15.799597	35.8119430	1982-1999 –> 2000-2009	7.3056112	3.6654540	20078.04509	33.776126	7	14
Atlantic	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	1569	3.6420495	8518.640223	21.497695	35.6672482	1982-1999 –> 2000-2009	7.3342847	3.6922352	20110.61508	44.507151	8	16
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate_star	1569	3.6423797	8518.924723	22.898158	35.0128799	1982-1999 –> 2000-2009	7.4064982	3.7641185	20192.84671	47.217228	9	18
Atlantic	(26.75,27]	2	cstar_tref ~ sal + phosphate_star	1569	3.6435090	8517.897501	6.327058	35.3626093	1982-1999 –> 2000-2009	7.6715271	4.0280181	20477.80276	13.921763	10	20
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1467	2.9529901	7352.154406	537.482413	23.1052877	2000-2009 –> 2010-2019	5.8787841	2.9257940	15185.63334	943.198810	2	3
Atlantic	(26.75,27]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1467	2.8453371	7243.195311	927.861199	23.9462771	2000-2009 –> 2010-2019	5.8986531	3.0533160	15210.54859	1479.612694	1	4
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	1467	2.9935171	7390.146971	51.088386	23.1566032	2000-2009 –> 2010-2019	5.9219612	2.9284441	15224.46688	118.309331	3	5
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	1467	3.4166149	7778.025555	225.834508	21.8093835	2000-2009 –> 2010-2019	6.9283358	3.5117209	16182.31592	443.353187	4	9
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	1467	3.5073165	7854.899158	78.264979	21.8525873	2000-2009 –> 2010-2019	6.9425844	3.4352678	16190.11807	193.037458	5	9
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate_star	1467	3.5349336	7877.911391	15.032425	22.1961330	2000-2009 –> 2010-2019	7.1773133	3.6423797	16396.83611	37.930583	8	16
Atlantic	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	1467	3.5798588	7914.964412	14.291474	22.1924824	2000-2009 –> 2010-2019	7.2219083	3.6420495	16433.60463	35.789169	10	17
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	1467	3.5894152	7922.786278	11.155463	22.2222201	2000-2009 –> 2010-2019	7.2295725	3.6401572	16439.79572	26.955060	12	18
Atlantic	(26.75,27]	2	cstar_tref ~ sal + phosphate_star	1467	3.8069041	8093.384623	6.132429	22.8559890	2000-2009 –> 2010-2019	7.4504131	3.6435090	16611.28212	12.459487	13	22
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate	1467	3.5109695	7857.953380	461.525714	22.6320552	2000-2009 –> 2010-2019	7.5914177	4.0804483	16733.25960	841.348278	6	16
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1898	2.6927363	9158.448384	472.583213	20.4174081	1982-1999 –> 2000-2009	5.0922463	2.3995100	23334.85827	1177.756318	2	3
Atlantic	(27,27.25]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1898	2.6228337	9058.603782	328.351044	17.1479911	1982-1999 –> 2000-2009	5.1240765	2.5012428	23491.37771	772.967027	1	5
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1898	2.7083685	9180.421651	166.651248	20.8484854	1982-1999 –> 2000-2009	5.1352591	2.4268907	23426.88367	455.268709	3	5
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1898	2.7085274	9178.644373	33.440892	20.8842679	1982-1999 –> 2000-2009	5.1649991	2.4564718	23497.90569	97.900089	4	7
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	1898	3.1141810	9708.418331	19.880416	27.9349573	1982-1999 –> 2000-2009	6.4694192	3.3552382	25952.71239	46.208639	5	14
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	1898	3.4555325	10103.241746	141.734927	10.3702526	1982-1999 –> 2000-2009	6.4952465	3.0397139	25737.79555	396.791422	9	14
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	1898	3.2238034	9839.743386	45.939971	31.7653752	1982-1999 –> 2000-2009	6.5080991	3.2842958	25952.09587	145.550245	6	14
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	1898	3.6131348	10272.540264	309.219304	11.7234217	1982-1999 –> 2000-2009	6.8064626	3.1933278	26211.47327	743.651204	10	16
Atlantic	(27,27.25]	3	cstar_tref ~ sal + phosphate + phosphate_star	1898	3.3589069	9995.583429	19.681303	31.7791337	1982-1999 –> 2000-2009	6.8389295	3.4800227	26465.32753	45.725494	7	17
Atlantic	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1898	3.6339207	10294.315557	314.494589	11.8702893	1982-1999 –> 2000-2009	6.9060329	3.2721122	26383.72221	728.930144	11	18
Atlantic	(27,27.25]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1874	2.9756875	9417.282327	433.147497	11.5255984	2000-2009 –> 2010-2019	5.5985212	2.6228337	18475.88611	761.498541	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1874	3.0422809	9500.234608	621.813034	11.7971709	2000-2009 –> 2010-2019	5.7350171	2.6927363	18658.68299	1094.396247	2	4
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1874	3.2636801	9763.523788	235.082311	14.5755828	2000-2009 –> 2010-2019	5.9720486	2.7083685	18943.94544	401.733559	3	6
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1874	3.3387343	9846.739617	36.127885	18.2375031	2000-2009 –> 2010-2019	6.0472617	2.7085274	19025.38399	69.568777	4	8
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	1874	3.9988168	10522.904068	18.572342	23.5140877	2000-2009 –> 2010-2019	7.1129978	3.1141810	20231.32240	38.452758	9	14
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	1874	3.6890547	10220.709281	363.543745	16.5398411	2000-2009 –> 2010-2019	7.3021895	3.6131348	20493.24954	672.763049	5	16
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	1874	3.8627979	10393.197998	188.291049	12.0258526	2000-2009 –> 2010-2019	7.3183305	3.4555325	20496.43974	330.025976	7	17
Atlantic	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1874	3.7086834	10240.598732	372.178259	17.1508901	2000-2009 –> 2010-2019	7.3426040	3.6339207	20534.91429	686.672848	6	18
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1874	4.2180955	10724.991808	873.911589	26.8892132	2000-2009 –> 2010-2019	7.4365685	3.2184730	20560.45352	1727.562230	11	17
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	1874	4.2233281	10727.638364	50.959806	26.8684372	2000-2009 –> 2010-2019	7.4471315	3.2238034	20567.38175	96.899777	12	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2834	2.8520329	13994.789282	214.971168	16.9961266	1982-1999 –> 2000-2009	5.7969949	2.9449620	33019.44327	533.548666	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2834	2.9093233	14107.517050	131.265700	17.2760884	1982-1999 –> 2000-2009	5.8706370	2.9613137	33174.29716	359.564589	6	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2834	2.8624409	14015.435909	222.118983	17.2174609	1982-1999 –> 2000-2009	5.8867284	3.0242876	33242.30782	542.858715	4	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2834	2.8611326	14012.844712	559.168454	17.2078999	1982-1999 –> 2000-2009	5.9755966	3.1144640	33463.25133	1262.778189	2	8
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	2834	2.8611770	14010.932728	18.839299	17.1764747	1982-1999 –> 2000-2009	5.9757930	3.1146160	33459.71061	74.228269	3	10
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	2834	2.9597459	14202.909719	15.606946	17.2157422	1982-1999 –> 2000-2009	6.0165779	3.0568320	33509.21418	46.627524	7	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	2834	2.8799948	14048.088768	16.158360	17.3041546	1982-1999 –> 2000-2009	6.0672702	3.1872754	33672.31152	46.222842	5	13
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2834	3.2262885	14691.655684	20.967206	13.2713357	1982-1999 –> 2000-2009	6.2846067	3.0583182	34001.65804	86.125193	11	16
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	2834	3.0303263	14336.486796	12.897021	17.6678112	1982-1999 –> 2000-2009	6.3148837	3.2845574	34189.44763	43.275691	8	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2834	3.1656393	14586.091812	486.209356	13.3027668	1982-1999 –> 2000-2009	6.7496383	3.5839991	35104.83020	1333.443353	9	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2585	3.7849463	14229.346109	195.349761	55.2449623	2000-2009 –> 2010-2019	6.6473872	2.8624409	28244.78202	417.468744	1	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2585	3.8448102	14310.476564	191.747159	60.0347730	2000-2009 –> 2010-2019	6.6968432	2.8520329	28305.26585	406.718326	3	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2585	3.8176438	14273.817089	128.610077	56.5172648	2000-2009 –> 2010-2019	6.7269671	2.9093233	28381.33414	259.875777	2	8
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	2585	3.8591843	14327.768863	26.078525	47.4271527	2000-2009 –> 2010-2019	6.8189301	2.9597459	28530.67858	41.685471	5	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2585	4.2051432	14773.626348	419.819350	34.1739785	2000-2009 –> 2010-2019	7.0662758	2.8611326	28786.47106	978.987805	6	8
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2585	3.8469880	14311.404113	32.560794	60.6044579	2000-2009 –> 2010-2019	7.0732765	3.2262885	29003.05980	53.528000	4	15
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	2585	4.2053634	14771.897061	25.584025	34.7705163	2000-2009 –> 2010-2019	7.0853582	2.8799948	28819.98583	41.742385	7	12
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	2585	4.2314137	14803.824123	30.552639	39.1298291	2000-2009 –> 2010-2019	7.0925907	2.8611770	28814.75685	49.391938	8	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	2585	4.2606327	14839.401540	26.156930	24.3647043	2000-2009 –> 2010-2019	7.2909589	3.0303263	29175.88834	39.053951	9	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2585	4.3251675	14919.123175	566.980687	28.7103639	2000-2009 –> 2010-2019	7.4908067	3.1656393	29505.21499	1053.190043	10	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3833	3.5304913	20561.759101	580.010839	23.9390193	1982-1999 –> 2000-2009	6.4613463	2.9308550	47832.73424	1089.084906	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3833	3.5455465	20592.380018	123.241676	23.8301989	1982-1999 –> 2000-2009	6.4764087	2.9308622	47861.38206	269.746286	2	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3833	3.5687721	20642.433557	180.723647	25.8925121	1982-1999 –> 2000-2009	6.5177888	2.9490167	47978.91749	390.297525	3	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3833	3.6047757	20719.384440	193.458581	28.1692921	1982-1999 –> 2000-2009	6.5358487	2.9310731	47989.17270	408.645975	5	8
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	3833	3.6345114	20780.361645	11.927905	32.2478952	1982-1999 –> 2000-2009	6.5657567	2.9312454	48048.79224	26.488150	6	10
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	3833	3.5792110	20662.824308	15.944498	27.9547754	1982-1999 –> 2000-2009	6.5683923	2.9891813	48145.13941	40.922728	4	10
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate	3833	3.6712109	20857.380935	135.542419	33.1281536	1982-1999 –> 2000-2009	6.7549008	3.0836899	48679.85599	287.313311	7	14
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3833	3.7031013	20925.685156	387.889863	17.4101939	1982-1999 –> 2000-2009	6.8004593	3.0973579	48798.48994	743.065215	9	17
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate	3833	3.7215007	20961.680395	11.774352	19.5095539	1982-1999 –> 2000-2009	6.8317332	3.1102325	48877.81483	29.921095	12	22
Atlantic	(27.5,27.75]	2	cstar_tref ~ sal + nitrate	3833	3.6717736	20856.556030	2.317724	33.4923364	1982-1999 –> 2000-2009	6.8356706	3.1638970	48957.63575	5.366757	8	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3579	3.9194188	19948.184770	473.509803	32.3835094	2000-2009 –> 2010-2019	7.4499101	3.5304913	40509.94387	1053.520642	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3579	4.0300972	20145.514411	167.094459	35.1961481	2000-2009 –> 2010-2019	7.5988694	3.5687721	40787.94797	347.818105	2	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3579	4.1352455	20329.877339	125.307794	31.3026810	2000-2009 –> 2010-2019	7.6807920	3.5455465	40922.25736	248.549470	6	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3579	4.0944205	20258.859207	189.256626	38.8136611	2000-2009 –> 2010-2019	7.6991962	3.6047757	40978.24365	382.715206	3	8
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	3579	4.1493915	20352.321876	15.165865	28.9111960	2000-2009 –> 2010-2019	7.7286025	3.5792110	41015.14618	31.110363	8	12
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	3579	4.1432441	20341.709285	12.203273	33.7712403	2000-2009 –> 2010-2019	7.7777555	3.6345114	41122.07093	24.131179	7	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate	3579	4.1622871	20374.533193	120.772346	44.9911976	2000-2009 –> 2010-2019	7.8334980	3.6712109	41231.91413	256.314765	10	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3579	4.1189409	20301.598595	255.611020	25.3660525	2000-2009 –> 2010-2019	7.8378886	3.7189477	41260.01828	478.861279	4	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	3579	4.1568616	20365.196673	150.405886	31.2424727	2000-2009 –> 2010-2019	7.8760769	3.7192153	41322.16793	264.202825	9	20
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + nitrate + phosphate	3579	4.1189428	20299.601921	139.805217	25.3238625	2000-2009 –> 2010-2019	7.8804249	3.7614821	41343.20163	254.281358	5	19
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2432	3.5376854	13061.248142	858.147376	24.7917008	1982-1999 –> 2000-2009	6.0213190	2.4836335	28779.73894	1547.352388	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2432	3.6829800	13255.021865	105.091854	25.1357567	1982-1999 –> 2000-2009	6.1820812	2.4991012	29013.38303	183.315429	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2432	3.7569387	13351.729048	126.675440	24.7101049	1982-1999 –> 2000-2009	6.2622667	2.5053280	29126.87271	222.476556	3	6
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2432	3.8304495	13445.982282	193.808538	30.7987523	1982-1999 –> 2000-2009	6.3966952	2.5662457	29383.14610	445.118749	4	9
Atlantic	(27.75,27.85]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2432	3.8344925	13449.113477	73.774976	30.4078881	1982-1999 –> 2000-2009	6.4044185	2.5699260	29393.94201	130.406195	5	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate	2432	3.9022749	13534.343387	65.851640	24.5149524	1982-1999 –> 2000-2009	6.4124727	2.5101978	29320.58325	109.628199	7	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate	2432	3.8737642	13498.675672	72.023515	31.3534557	1982-1999 –> 2000-2009	6.4783324	2.6045682	29533.80502	124.973241	6	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2432	3.9056301	13540.523629	103.109426	30.2267241	1982-1999 –> 2000-2009	6.4810588	2.5754287	29501.77698	186.757623	8	15
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	2432	3.9057204	13538.636150	102.687167	30.3564993	1982-1999 –> 2000-2009	6.4867587	2.5810383	29512.56291	181.517353	9	17
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate_star	2432	3.9652666	13612.232543	7.853861	32.6287813	1982-1999 –> 2000-2009	6.6661599	2.7008933	29892.27492	18.786399	10	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2443	3.0826756	12445.582246	128.278920	17.9974062	2000-2009 –> 2010-2019	6.7656556	3.6829800	25700.60411	233.370775	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2443	3.1421378	12538.931704	161.712622	19.3779787	2000-2009 –> 2010-2019	6.8990765	3.7569387	25890.66075	288.388062	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2443	3.2631071	12723.507437	308.424026	23.7952663	2000-2009 –> 2010-2019	7.0935567	3.8304495	26169.48972	502.232564	3	6
Atlantic	(27.75,27.85]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2443	3.2669952	12727.325755	98.785337	25.3481678	2000-2009 –> 2010-2019	7.1014877	3.8344925	26176.43923	172.560313	4	8
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate	2443	3.4181112	12948.258164	91.137490	35.0790209	2000-2009 –> 2010-2019	7.2918754	3.8737642	26446.93384	163.161005	6	11
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2443	3.4106342	12939.558524	125.881296	20.3503793	2000-2009 –> 2010-2019	7.3162643	3.9056301	26480.08215	228.990722	5	12
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate	2443	3.4186864	12949.080411	67.037725	22.4616909	2000-2009 –> 2010-2019	7.3209614	3.9022749	26483.42380	132.889365	7	13
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	2443	3.4197288	12950.569920	123.017492	21.3304596	2000-2009 –> 2010-2019	7.3254492	3.9057204	26489.20607	225.704659	8	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate_star	2443	3.8086206	13476.820580	8.493960	16.5696973	2000-2009 –> 2010-2019	7.7738872	3.9652666	27089.05312	16.347821	9	18
Atlantic	(27.75,27.85]	2	cstar_tref ~ nitrate + phosphate_star	2443	3.8515275	13529.557216	3.566792	16.1058808	2000-2009 –> 2010-2019	7.8173874	3.9658600	27140.51755	6.304135	10	20
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	7870	4.5142019	46071.867489	553.776413	32.5154742	1982-1999 –> 2000-2009	7.3729889	2.8587870	94608.31902	976.488300	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7870	4.5298217	46124.236355	58.862260	32.4836279	1982-1999 –> 2000-2009	7.4059260	2.8761043	94777.35991	92.283297	5	7
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7870	4.5162108	46076.870647	49.268193	32.4017204	1982-1999 –> 2000-2009	7.4384217	2.9222109	95042.50330	76.960019	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	7870	4.5150700	46072.894320	54.160075	32.4252547	1982-1999 –> 2000-2009	7.4907791	2.9757090	95395.01461	82.903601	2	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	7870	4.6081919	46394.224276	135.079775	32.3611510	1982-1999 –> 2000-2009	7.5885557	2.9803638	95747.05826	456.370217	6	11
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate	7870	4.5229395	46098.304166	21.719870	32.6616134	1982-1999 –> 2000-2009	7.6356809	3.1127414	96303.09648	39.693314	4	11
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	7870	4.7102388	46736.978184	52.172913	32.2263314	1982-1999 –> 2000-2009	7.8053251	3.0950863	96830.00083	85.108936	7	13
Atlantic	(27.85,27.95]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	7870	4.8020149	47040.712850	26.763146	34.7949681	1982-1999 –> 2000-2009	8.0703768	3.2683619	98204.13243	53.613524	9	18
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	7870	4.7485752	46864.566870	3.013789	33.0418225	1982-1999 –> 2000-2009	8.2521033	3.5035280	99393.29887	10.196226	8	20
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate	7870	4.9855473	47631.082240	27.568756	34.4285031	1982-1999 –> 2000-2009	8.2745824	3.2890352	98918.40153	51.966088	11	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	6186	4.7023033	36721.612452	612.260866	37.3196019	2000-2009 –> 2010-2019	9.2165052	4.5142019	82793.47994	1166.037279	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6186	4.7126638	36746.841480	62.402405	37.5866309	2000-2009 –> 2010-2019	9.2288746	4.5162108	82823.71213	111.670597	2	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	6186	4.7189404	36763.308190	72.505676	37.6552132	2000-2009 –> 2010-2019	9.2340104	4.5150700	82836.20251	126.665750	3	5
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate	6186	4.7291637	36788.082503	26.467985	40.9072682	2000-2009 –> 2010-2019	9.2521032	4.5229395	82886.38667	48.187855	4	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6186	4.8708468	37155.296731	71.653987	38.2349659	2000-2009 –> 2010-2019	9.4006685	4.5298217	83279.53309	130.516247	5	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6186	4.9243221	37290.384428	348.234373	38.9051695	2000-2009 –> 2010-2019	9.5325140	4.6081919	83684.60870	483.314148	6	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	6186	4.9414699	37331.392229	69.602642	38.9485894	2000-2009 –> 2010-2019	9.6517087	4.7102388	84068.37041	121.775555	7	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	6186	4.9541180	37363.018833	59.945099	38.4585734	2000-2009 –> 2010-2019	9.7561329	4.8020149	84403.73168	86.708245	8	17
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate	6186	5.0240556	37536.453740	53.349108	44.1326568	2000-2009 –> 2010-2019	10.0096029	4.9855473	85167.53598	80.917864	9	20
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	6186	5.3931089	38413.437024	4.449699	34.5523659	2000-2009 –> 2010-2019	10.1416841	4.7485752	85278.00389	7.463488	11	19
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6329	2.1721325	27791.853831	274.872669	16.2040659	1982-1999 –> 2000-2009	4.1895696	2.0174371	65960.68432	1270.426898	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6329	2.1849223	27866.167074	104.947391	9.4533314	1982-1999 –> 2000-2009	4.3240596	2.1391373	67088.87286	200.124783	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6329	2.4086155	29099.965693	72.280594	11.2643771	1982-1999 –> 2000-2009	4.7447208	2.3361053	69907.45217	131.935419	3	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	6329	2.4408136	29268.055334	66.647876	12.3432858	1982-1999 –> 2000-2009	4.7824873	2.3416737	70118.37688	116.144562	4	10
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate	6329	2.4558380	29343.732429	18.587389	15.5230013	1982-1999 –> 2000-2009	4.7989820	2.3431440	70203.34767	60.369149	5	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	6329	3.0174197	31950.445131	53.191880	29.0480567	1982-1999 –> 2000-2009	5.1820409	2.1646213	71384.22670	147.360474	6	9
Atlantic	(27.95,28.05]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	6329	3.2049105	32713.496029	14.861493	32.8569504	1982-1999 –> 2000-2009	5.5515304	2.3466199	73599.78182	64.175001	8	16
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	6329	3.1750186	32594.882026	3.334860	31.0658993	1982-1999 –> 2000-2009	5.8849520	2.7099334	76071.08166	24.920086	7	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate	6329	3.5825225	34123.381906	16.712677	34.0578654	1982-1999 –> 2000-2009	5.9194988	2.3369763	74935.57586	69.682118	10	15
Atlantic	(27.95,28.05]	2	cstar_tref ~ nitrate + phosphate_star	6329	3.2326994	32820.777084	2.311261	33.4056553	1982-1999 –> 2000-2009	5.9435222	2.7108228	76300.88098	3.608973	9	21
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4623	2.8031132	22663.641480	994.195521	13.0115232	2000-2009 –> 2010-2019	4.9240243	2.1209111	50155.42884	1698.868021	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4623	2.8075054	22676.117513	422.315357	14.0179583	2000-2009 –> 2010-2019	4.9796379	2.1721325	50467.97134	697.188026	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4623	2.8626208	22855.871279	123.712870	11.4660902	2000-2009 –> 2010-2019	5.0475431	2.1849223	50722.03835	228.660261	3	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4623	3.0472023	23433.619882	82.650750	15.9133139	2000-2009 –> 2010-2019	5.4558179	2.4086155	52533.58557	154.931344	5	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	4623	3.0430692	23421.070264	80.700005	16.2796797	2000-2009 –> 2010-2019	5.4838828	2.4408136	52689.12560	147.347881	4	9
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate	4623	3.0474266	23432.300324	19.601320	16.0565019	2000-2009 –> 2010-2019	5.5032646	2.4558380	52776.03275	38.188709	6	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	4623	3.1005176	23591.993182	76.164295	20.6447883	2000-2009 –> 2010-2019	6.1179372	3.0174197	55542.43831	129.356175	7	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	4623	3.3544922	24319.943255	28.634887	26.5443551	2000-2009 –> 2010-2019	6.5594027	3.2049105	57033.43928	43.496379	8	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	4623	3.6125553	25005.210029	3.483314	33.3090447	2000-2009 –> 2010-2019	6.7875738	3.1750186	57600.09205	6.818174	10	18
Atlantic	(27.95,28.05]	2	cstar_tref ~ nitrate + phosphate_star	4623	3.6215872	25026.297663	2.804055	32.8294231	2000-2009 –> 2010-2019	6.8542866	3.2326994	57847.07475	5.115316	11	21
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2657	1.9359833	11062.749278	202.341737	10.4430819	1982-1999 –> 2000-2009	3.4691340	1.5331507	26716.29331	406.959448	1	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2657	2.0172896	11281.364392	277.374066	11.5659342	1982-1999 –> 2000-2009	3.5231338	1.5058443	26782.65632	470.851866	2	3
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2657	2.0349361	11327.647344	186.559805	11.8381233	1982-1999 –> 2000-2009	3.5555453	1.5206092	26911.60347	376.878975	5	8
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	2657	2.0331476	11320.974644	82.173554	11.5566074	1982-1999 –> 2000-2009	3.5694954	1.5363479	26990.16727	223.181998	4	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	2657	2.0256374	11301.309049	66.746141	11.3683515	1982-1999 –> 2000-2009	3.5703470	1.5447096	27016.48630	201.035226	3	15
Atlantic	(28.05,28.1]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2657	2.0494479	11363.408592	117.532680	11.9250171	1982-1999 –> 2000-2009	3.5846770	1.5352291	27026.42952	297.785590	6	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate	2657	2.0555469	11379.199314	173.833141	11.9172336	1982-1999 –> 2000-2009	3.6276394	1.5720925	27243.24330	358.714823	7	23
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	2657	2.1719115	11671.818412	18.702680	14.8019033	1982-1999 –> 2000-2009	3.7207303	1.5488188	27409.50304	43.393825	8	22
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	2657	2.3621967	12118.111295	33.159447	18.3441750	1982-1999 –> 2000-2009	3.8961505	1.5339538	27774.09162	64.293317	11	17
Atlantic	(28.05,28.1]	2	cstar_tref ~ nitrate + phosphate_star	2657	2.4403343	12289.044901	4.806319	20.6148482	1982-1999 –> 2000-2009	3.9969929	1.5566586	28067.50467	9.804118	12	27
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2675	1.9205450	11094.779245	240.914908	20.1921057	2000-2009 –> 2010-2019	3.8565282	1.9359833	22157.52852	443.256645	1	2
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	2675	1.9733798	11237.971362	104.373833	22.2528400	2000-2009 –> 2010-2019	3.9990172	2.0256374	22539.28041	171.119975	2	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2675	1.9824213	11264.427718	298.553464	23.8523304	2000-2009 –> 2010-2019	3.9997109	2.0172896	22545.79211	575.927530	3	5
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	2675	1.9868091	11274.256156	126.179100	23.7751614	2000-2009 –> 2010-2019	4.0199567	2.0331476	22595.23080	208.352654	4	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2675	1.9912961	11288.324873	253.491547	24.2993261	2000-2009 –> 2010-2019	4.0262322	2.0349361	22615.97222	440.051352	5	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2675	1.9984404	11305.485037	174.716589	24.2890196	2000-2009 –> 2010-2019	4.0478883	2.0494479	22668.89363	292.249269	8	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate	2675	1.9932179	11291.485593	252.575641	24.4347059	2000-2009 –> 2010-2019	4.0487648	2.0555469	22670.68491	426.408783	6	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	2675	1.9975913	11303.211294	21.643851	25.7268410	2000-2009 –> 2010-2019	4.1695027	2.1719115	22975.02971	40.346531	7	15
Atlantic	(28.05,28.1]	2	cstar_tref ~ nitrate + phosphate	2675	2.0241092	11371.764955	101.897962	25.0147516	2000-2009 –> 2010-2019	4.3078859	2.2837767	23308.46772	165.980183	12	21
Atlantic	(28.05,28.1]	2	cstar_tref ~ aou + nitrate	2675	2.0003047	11308.473472	4.995259	26.8666536	2000-2009 –> 2010-2019	4.3398299	2.3395252	23373.33662	8.333663	9	19
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2691	1.1190277	8253.988052	277.077418	4.4955211	1982-1999 –> 2000-2009	2.4107574	1.2917296	22790.90002	653.041215	1	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2691	1.1334406	8322.864803	673.590320	4.5626273	1982-1999 –> 2000-2009	2.4179555	1.2845148	22811.20461	1203.332517	3	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2691	1.1290484	8301.968182	228.784812	4.4919829	1982-1999 –> 2000-2009	2.4281362	1.2990878	22888.13864	478.781734	2	8
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	2691	1.1334467	8320.893555	11.536342	4.5566900	1982-1999 –> 2000-2009	2.5070783	1.3736316	23388.92465	46.306951	4	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + phosphate_star	2691	1.2323384	8771.099557	37.715780	6.0984916	1982-1999 –> 2000-2009	2.5325867	1.3002484	23363.01398	101.485149	8	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate	2691	1.1965558	8612.512557	56.343047	5.0609554	1982-1999 –> 2000-2009	2.5390291	1.3424733	23481.56998	280.563890	5	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	2691	1.2124055	8683.334668	32.503184	4.9938728	1982-1999 –> 2000-2009	2.5704113	1.3580058	23652.15164	153.095317	7	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2691	1.2027655	8640.370691	93.828747	5.1433739	1982-1999 –> 2000-2009	2.5727883	1.3700228	23685.58894	403.469123	6	18
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2691	1.4040863	9475.306743	865.591424	8.6290160	1982-1999 –> 2000-2009	2.6867560	1.2826697	23951.18057	1771.231736	10	11
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	2691	1.4060261	9480.737094	26.789063	8.5933056	1982-1999 –> 2000-2009	2.6908402	1.2848141	23969.09673	84.777097	11	14
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2931	1.4174249	10374.728360	544.698382	12.9548183	2000-2009 –> 2010-2019	2.5508656	1.1334406	18697.59316	1218.288703	2	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2931	1.4453951	10489.277253	416.287324	13.2732994	2000-2009 –> 2010-2019	2.5644229	1.1190277	18743.26531	693.364742	4	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2931	1.4696388	10586.785500	246.879826	9.2985797	2000-2009 –> 2010-2019	2.5986872	1.1290484	18888.75368	475.664638	6	8
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	2931	1.5128446	10754.637120	25.524789	5.5733538	2000-2009 –> 2010-2019	2.6462913	1.1334467	19075.53067	37.061131	9	13
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + phosphate_star	2931	1.4704257	10587.923282	44.382914	8.5950154	2000-2009 –> 2010-2019	2.7027641	1.2323384	19359.02284	82.098694	7	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	2931	1.5783974	11003.293294	91.160196	8.3573070	2000-2009 –> 2010-2019	2.7908029	1.2124055	19686.62796	123.663380	11	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate	2931	1.6165443	11143.281935	170.568463	11.9561952	2000-2009 –> 2010-2019	2.8131002	1.1965558	19755.79449	226.911510	12	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2931	1.4167314	10371.859532	721.320281	12.9656869	2000-2009 –> 2010-2019	2.8208177	1.4040863	19847.16627	1586.911705	1	11
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	2931	1.4174250	10372.728587	44.536345	12.9473642	2000-2009 –> 2010-2019	2.8234511	1.4060261	19853.46568	71.325408	3	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2931	1.6431885	11239.112935	256.153208	12.8072346	2000-2009 –> 2010-2019	2.8459540	1.2027655	19879.48363	349.981955	14	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1875	0.4739572	2533.125935	858.179818	3.0842119	1982-1999 –> 2000-2009	0.8306400	0.3566828	4240.04172	962.261307	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1875	0.4861946	2628.720506	142.359555	3.2620448	1982-1999 –> 2000-2009	0.8538923	0.3676977	4468.48551	194.072531	2	4
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	1875	0.4902047	2657.524006	49.138508	3.1685930	1982-1999 –> 2000-2009	0.8714086	0.3812038	4652.85645	75.658657	3	6
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	1875	0.5911240	3359.533678	29.269051	3.2389199	1982-1999 –> 2000-2009	1.0231615	0.4320375	5901.64429	40.686165	6	13
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1875	0.5708513	3230.669851	310.889586	3.8603588	1982-1999 –> 2000-2009	1.0377966	0.4669454	6114.17332	406.324846	4	14
Atlantic	(28.15,28.2]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1875	0.6432316	3676.330204	841.691215	4.6913686	1982-1999 –> 2000-2009	1.0535222	0.4102906	5992.84823	944.467166	8	12
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	1875	0.6507852	3720.111055	115.222932	4.5893506	1982-1999 –> 2000-2009	1.0673540	0.4165687	6102.96015	137.722861	10	15
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + phosphate	1875	0.5897109	3350.558838	36.314701	4.0020076	1982-1999 –> 2000-2009	1.0701655	0.4804546	6356.63992	50.818283	5	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate	1875	0.6488510	3708.948949	704.444280	4.5883845	1982-1999 –> 2000-2009	1.0764577	0.4276067	6206.03175	787.606672	9	15
Atlantic	(28.15,28.2]	2	cstar_tref ~ aou + nitrate	1875	0.6508239	3718.333961	2.940899	4.5944921	1982-1999 –> 2000-2009	1.0831961	0.4323722	6261.82719	4.531741	11	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1484	0.5058321	2200.567629	208.229685	2.0359103	2000-2009 –> 2010-2019	0.9797893	0.4739572	4733.69356	1066.409503	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1484	0.5257119	2314.979645	47.912953	1.9500491	2000-2009 –> 2010-2019	1.0119064	0.4861946	4943.70015	190.272508	2	4
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	1484	0.5362838	2372.072919	26.624604	1.9900975	2000-2009 –> 2010-2019	1.0264885	0.4902047	5029.59692	75.763111	3	6
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	1484	0.5383293	2383.372083	10.327095	2.3634437	2000-2009 –> 2010-2019	1.1294532	0.5911240	5742.90576	39.596147	4	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1484	0.6531350	2959.126378	98.795787	3.4975692	2000-2009 –> 2010-2019	1.2239863	0.5708513	6189.79623	409.685372	13	17
Atlantic	(28.15,28.2]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1484	0.5914902	2662.882826	207.726477	2.4188999	2000-2009 –> 2010-2019	1.2347218	0.6432316	6339.21303	1049.417692	6	14
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate	1484	0.5914995	2662.929366	146.770126	2.4154343	2000-2009 –> 2010-2019	1.2403505	0.6488510	6371.87831	851.214406	7	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + phosphate	1484	0.6532132	2957.481745	12.806839	3.4726757	2000-2009 –> 2010-2019	1.2429241	0.5897109	6308.04058	49.121539	14	19
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	1484	0.6001520	2706.030736	33.088755	2.4530978	2000-2009 –> 2010-2019	1.2509372	0.6507852	6426.14179	148.311687	10	20
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + phosphate + phosphate_star	1484	0.6735253	3048.367602	27.828097	3.9992357	2000-2009 –> 2010-2019	1.2727813	0.5992561	6459.13847	76.565519	15	22
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3027	0.3739253	2648.938528	557.759423	2.5847414	1982-1999 –> 2000-2009	0.6053803	0.2314550	2377.51187	1168.626785	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3027	0.4281722	3467.070580	556.741465	4.6629769	1982-1999 –> 2000-2009	0.6660155	0.2378433	3368.54827	1121.418454	2	7
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3027	0.5639197	5134.260060	196.896521	5.1166837	1982-1999 –> 2000-2009	0.7967718	0.2328521	4899.49277	275.130395	3	5
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + phosphate + phosphate_star	3027	0.5805453	5308.165008	191.616676	4.8447589	1982-1999 –> 2000-2009	0.8186598	0.2381145	5214.96225	249.818195	4	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3027	0.6017537	5527.384340	101.252585	5.5425680	1982-1999 –> 2000-2009	0.8356460	0.2338924	5321.25275	158.520951	5	8
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	3027	0.6060676	5568.630629	84.598497	5.6582244	1982-1999 –> 2000-2009	0.8409163	0.2348487	5386.71130	132.263093	6	10
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + phosphate_star	3027	0.6306239	5809.083728	82.721145	5.3330723	1982-1999 –> 2000-2009	0.8692546	0.2386306	5729.79141	107.665395	7	14
Atlantic	(28.2, Inf]	2	cstar_tref ~ aou + phosphate_star	3027	0.6312978	5813.550063	1.917785	5.3766712	1982-1999 –> 2000-2009	0.8709177	0.2396198	5758.83153	3.155498	8	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3027	0.9014826	7974.366312	339.513777	5.8923300	1982-1999 –> 2000-2009	1.4374246	0.5359420	13094.78970	653.748714	9	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + phosphate + phosphate_star	3027	0.9548872	8320.788689	137.836764	7.6261953	1982-1999 –> 2000-2009	1.5520902	0.5972030	14134.48916	216.063505	11	23
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1525	0.2204094	-270.656805	826.879329	2.6814605	2000-2009 –> 2010-2019	0.5943347	0.3739253	2378.28172	1384.638752	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1525	0.2213734	-259.345834	690.639035	2.6560849	2000-2009 –> 2010-2019	0.6495456	0.4281722	3207.72475	1247.380501	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1525	0.2397411	-16.234361	51.575479	2.5935370	2000-2009 –> 2010-2019	0.8036608	0.5639197	5118.02570	248.472000	3	6
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + phosphate + phosphate_star	1525	0.2405928	-7.418502	51.550359	2.6122828	2000-2009 –> 2010-2019	0.8211381	0.5805453	5300.74651	243.167034	4	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1525	0.2629197	265.247611	26.116405	2.2152950	2000-2009 –> 2010-2019	0.8646734	0.6017537	5792.63195	127.368991	6	11
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + phosphate_star	1525	0.2661102	300.035477	15.773386	2.2112278	2000-2009 –> 2010-2019	0.8967341	0.6306239	6109.11921	98.494531	7	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	1525	0.3175682	839.221514	22.498048	3.1227545	2000-2009 –> 2010-2019	0.9236359	0.6060676	6407.85214	107.096546	13	19
Atlantic	(28.2, Inf]	2	cstar_tref ~ aou + phosphate_star	1525	0.3185373	846.514654	1.282116	3.0874703	2000-2009 –> 2010-2019	0.9498351	0.6312978	6660.06472	3.199902	14	22
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1525	0.3113250	780.663316	188.446136	3.7882669	2000-2009 –> 2010-2019	1.2128077	0.9014826	8755.02963	527.959913	8	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1525	0.2595730	226.174604	174.625083	3.2009254	2000-2009 –> 2010-2019	1.2754007	1.0158278	8923.49934	531.312941	5	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4291	7.9674783	30002.139092	123.744594	120.1627919	1982-1999 –> 2000-2009	17.2292296	9.2617513	52752.59916	338.746471	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4291	10.9920004	32761.824335	106.966459	124.2613570	1982-1999 –> 2000-2009	21.8797657	10.8877653	56519.25939	262.641404	3	5
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4291	11.3044988	33002.403472	116.949555	41.3729346	1982-1999 –> 2000-2009	22.7609094	11.4564107	57077.41356	328.707399	4	7
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4291	10.8339003	32637.491434	65.283909	168.7255769	1982-1999 –> 2000-2009	24.3511670	13.5172667	57744.38166	132.193754	2	8
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	4291	12.0334232	33536.669278	64.755383	158.0530583	1982-1999 –> 2000-2009	25.5662501	13.5328269	58648.73615	131.142796	5	12
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + phosphate + phosphate_star	4291	13.6286668	34605.019984	100.276777	45.1986719	1982-1999 –> 2000-2009	26.4052599	12.7765931	59358.37989	252.421177	6	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4291	13.8691016	34757.102272	60.900794	82.6649857	1982-1999 –> 2000-2009	27.3726671	13.5035655	59857.66641	132.158437	7	12
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate	4291	13.8852324	34765.078031	56.874346	84.8773411	1982-1999 –> 2000-2009	27.6495819	13.7643495	59982.96335	123.512968	8	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	4291	13.9332062	34794.677915	26.456518	65.1217399	1982-1999 –> 2000-2009	27.7981911	13.8649848	60058.00525	65.225127	9	18
Indo-Pacific	(-Inf,26]	2	cstar_tref ~ aou + nitrate	4291	13.9410590	34797.513395	15.788353	67.6520839	1982-1999 –> 2000-2009	27.9396577	13.9985987	60118.66718	39.751233	10	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5555	8.8463446	39998.255199	149.775033	95.5021015	2000-2009 –> 2010-2019	16.8138229	7.9674783	70000.39429	273.519627	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5555	10.8886324	42303.969002	114.517453	115.6199720	2000-2009 –> 2010-2019	21.8806328	10.9920004	75065.79334	221.483912	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	5555	10.8859993	42301.282087	135.384684	47.6448467	2000-2009 –> 2010-2019	22.1904981	11.3044988	75303.68556	252.334239	2	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5555	12.2591250	43621.072960	64.929576	165.2086021	2000-2009 –> 2010-2019	23.0930253	10.8339003	76258.56439	130.213486	4	6
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	5555	12.5217832	43854.596400	64.763394	162.8274162	2000-2009 –> 2010-2019	24.5552064	12.0334232	77391.26568	129.518777	5	10
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + phosphate + phosphate_star	5555	12.9844556	44257.701997	104.475836	48.5425741	2000-2009 –> 2010-2019	26.6131223	13.6286668	78862.72198	204.752612	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5555	14.2612663	45301.756664	67.298867	73.8751074	2000-2009 –> 2010-2019	28.1303679	13.8691016	80058.85894	128.199661	7	14
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate	5555	14.3033576	45332.498851	65.881298	73.2117203	2000-2009 –> 2010-2019	28.1885900	13.8852324	80097.57688	122.755644	9	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	5555	14.2623273	45300.583184	26.809362	76.4089214	2000-2009 –> 2010-2019	28.1955335	13.9332062	80095.26110	53.265880	8	17
Indo-Pacific	(-Inf,26]	2	cstar_tref ~ aou + nitrate	5555	14.3045293	45331.408933	18.216793	71.8546967	2000-2009 –> 2010-2019	28.2455883	13.9410590	80128.92233	34.005146	10	20
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3503	10.2950147	26288.691707	574.539487	44.7479165	1982-1999 –> 2000-2009	18.8401064	8.5450917	51507.39005	1046.461978	1	2
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	3503	11.5342163	27082.980909	548.200885	50.9164598	1982-1999 –> 2000-2009	21.1463347	9.6121184	53131.82447	998.561019	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3503	11.8217065	27257.464589	84.437866	55.5633751	1982-1999 –> 2000-2009	21.5466663	9.7249598	53390.84630	158.384883	3	6
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	3503	11.8450044	27269.258272	48.083939	54.5621433	1982-1999 –> 2000-2009	22.0798569	10.2348525	53762.04074	89.308508	4	8
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	3503	12.2279718	27492.188393	79.335062	55.6499497	1982-1999 –> 2000-2009	22.5011349	10.2731631	54011.39301	147.506701	5	10
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + phosphate	3503	12.2345157	27493.936726	25.771307	56.2317526	1982-1999 –> 2000-2009	22.7603082	10.5257925	54182.94638	55.149397	6	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3503	12.6736732	27745.008561	25.404101	46.4290538	1982-1999 –> 2000-2009	23.6359945	10.9623214	54725.39172	45.734879	7	14
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	3503	12.6753541	27743.937703	24.679744	47.0761756	1982-1999 –> 2000-2009	24.2503153	11.5749613	55106.89758	44.710720	8	17
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate_star	3503	13.1793437	28017.110373	12.110114	48.5961048	1982-1999 –> 2000-2009	24.6070100	11.4276664	55289.49939	19.780505	12	20
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3503	13.1440672	28000.332662	32.173034	45.0790528	1982-1999 –> 2000-2009	24.7327825	11.5887153	55373.69090	62.070064	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3222	9.3222423	23543.246087	590.879241	39.2811294	2000-2009 –> 2010-2019	17.5899089	8.2676665	48297.46973	1527.609749	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3222	11.1806480	24712.644325	572.383652	52.9068126	2000-2009 –> 2010-2019	20.8057812	9.6251333	50529.95804	1490.652467	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3222	11.4184375	24848.257998	355.942643	53.3932700	2000-2009 –> 2010-2019	21.7134522	10.2950147	51136.94971	930.482130	3	6
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	3222	13.0810962	25722.247490	333.065750	62.1290234	2000-2009 –> 2010-2019	24.6153125	11.5342163	52805.22840	881.266635	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3222	13.3050766	25833.650553	50.387372	73.3233600	2000-2009 –> 2010-2019	25.1267831	11.8217065	53091.11514	134.825238	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	3222	13.3646551	25860.441595	28.103451	71.7436959	2000-2009 –> 2010-2019	25.2096595	11.8450044	53129.69987	76.187390	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	3222	13.8781876	26103.411463	45.683943	72.4227451	2000-2009 –> 2010-2019	26.1061593	12.2279718	53595.59986	125.019005	7	14
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + phosphate	3222	13.8796971	26102.112325	16.641745	72.6801147	2000-2009 –> 2010-2019	26.1142128	12.2345157	53596.04905	42.413052	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3222	14.4662348	26372.830604	20.131085	66.6671629	2000-2009 –> 2010-2019	27.1399080	12.6736732	54117.83916	45.535186	9	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	3222	14.4745863	26374.549696	19.426858	65.0643245	2000-2009 –> 2010-2019	27.1499404	12.6753541	54118.48740	44.106602	10	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3262	8.5857771	23296.453152	140.732311	34.4355732	1982-1999 –> 2000-2009	16.9297450	8.3439679	45514.32742	265.313889	2	3
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3262	8.5863419	23296.882249	20.720540	36.5877430	1982-1999 –> 2000-2009	17.0687221	8.4823802	45617.94489	36.725979	3	7
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3262	8.5726093	23286.439729	29.076251	37.0282406	1982-1999 –> 2000-2009	17.0974977	8.5248885	45638.85510	52.922242	1	7
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	3262	8.5889352	23296.852410	19.139936	36.3181668	1982-1999 –> 2000-2009	17.2520379	8.6631027	45748.14034	30.081785	4	12
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	3262	8.5936294	23300.417010	19.741524	35.4853311	1982-1999 –> 2000-2009	17.4807522	8.8871229	45911.83176	34.024469	6	24
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3262	9.1269092	23695.200590	913.719016	33.9675173	1982-1999 –> 2000-2009	17.4992407	8.3723316	45934.35914	1880.215585	13	15
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	3262	8.7768895	23438.079365	135.912541	34.8746986	1982-1999 –> 2000-2009	17.5021863	8.7252969	45934.23442	256.784924	9	18
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate	3262	8.5909137	23298.355052	19.837723	35.2780354	1982-1999 –> 2000-2009	17.5052556	8.9143419	45928.95004	33.031152	5	24
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ sal + nitrate	3262	8.5945084	23299.084353	1.583320	35.4262719	1982-1999 –> 2000-2009	17.5135875	8.9190790	45931.01139	2.655475	7	27
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	3262	8.7431627	23412.961435	28.670607	37.2351917	1982-1999 –> 2000-2009	17.5426325	8.7994698	45962.20883	48.080610	8	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2648	11.2731704	20355.864455	18.728745	35.3831770	2000-2009 –> 2010-2019	19.8457797	8.5726093	43642.30418	47.804995	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2648	11.2741446	20356.322120	114.121713	34.8046103	2000-2009 –> 2010-2019	19.8599218	8.5857771	43652.77527	254.854024	2	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2648	11.2747782	20356.619749	13.479887	35.2646285	2000-2009 –> 2010-2019	19.8611201	8.5863419	43653.50200	34.200427	4	7
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	2648	11.2758262	20355.111964	9.037459	35.0740570	2000-2009 –> 2010-2019	19.8647614	8.5889352	43651.96437	28.177395	6	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate	2648	11.2745319	20354.504032	9.468576	34.9971144	2000-2009 –> 2010-2019	19.8654456	8.5909137	43652.85908	29.306300	3	8
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	2648	11.2750254	20354.735830	11.036744	35.0990718	2000-2009 –> 2010-2019	19.8686547	8.5936294	43655.15284	30.778269	5	11
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ sal + nitrate	2648	11.2758266	20353.112156	1.048538	35.0684213	2000-2009 –> 2010-2019	19.8703350	8.5945084	43652.19651	2.631859	7	14
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	2648	11.5291677	20472.783719	16.819496	36.1358751	2000-2009 –> 2010-2019	20.2723304	8.7431627	43885.74515	45.490102	11	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	2648	11.5241086	20470.459273	100.324843	36.1067035	2000-2009 –> 2010-2019	20.3009980	8.7768895	43908.53864	236.237385	8	17
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	2648	11.5243270	20470.559647	11.573073	36.0738878	2000-2009 –> 2010-2019	20.3301365	8.8058095	43930.10043	31.142944	9	20
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	4020	6.2437363	26146.159073	16.940646	24.2773623	1982-1999 –> 2000-2009	11.7520404	5.5083041	50740.94553	31.805905	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4020	6.2689060	26178.504786	17.156090	24.0321880	1982-1999 –> 2000-2009	11.7832502	5.5143442	50781.91183	29.093711	2	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4020	6.2741838	26185.270744	62.980966	23.6938020	1982-1999 –> 2000-2009	11.7846904	5.5105066	50783.20176	131.315366	3	5
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	4020	6.2744873	26183.659646	14.378101	23.6179648	1982-1999 –> 2000-2009	11.8004255	5.5259382	50801.58782	25.929276	4	9
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate	4020	6.3404861	26267.787559	15.841896	22.7637050	1982-1999 –> 2000-2009	11.8568251	5.5163390	50872.03964	25.255574	5	9
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	4020	6.3489510	26278.514182	7.714909	23.8001955	1982-1999 –> 2000-2009	11.9259242	5.5769733	50968.75572	18.670025	6	14
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	4020	6.3638604	26297.372668	55.881854	23.3373435	1982-1999 –> 2000-2009	11.9322193	5.5683588	50975.45465	112.618266	7	14
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	4020	6.3683414	26303.031839	5.982382	23.4107064	1982-1999 –> 2000-2009	11.9346964	5.5663550	50978.28267	14.018213	8	14
Indo-Pacific	(26.75,27]	2	cstar_tref ~ sal + aou	4020	6.3715987	26305.143126	1.070922	23.7094275	1982-1999 –> 2000-2009	11.9523588	5.5807600	50998.72388	2.072868	9	18
Indo-Pacific	(26.75,27]	2	cstar_tref ~ sal + phosphate	4020	6.4558674	26410.780460	1.174202	22.1652151	1982-1999 –> 2000-2009	12.0638572	5.6079898	51142.64789	2.197717	10	20
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3855	7.1222836	26088.507110	39.031990	25.1117966	2000-2009 –> 2010-2019	13.3964674	6.2741838	52273.77785	102.012956	1	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3855	7.1489904	26117.363598	9.059009	24.6811593	2000-2009 –> 2010-2019	13.4178964	6.2689060	52295.86838	26.215099	2	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3855	7.1812510	26152.077544	9.524445	24.6960783	2000-2009 –> 2010-2019	13.4249873	6.2437363	52298.23662	26.465091	3	4
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	3855	7.2576963	26231.717712	36.474819	27.9404046	2000-2009 –> 2010-2019	13.6215568	6.3638604	52529.09038	92.356673	4	11
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	3855	7.3624701	26342.225339	8.340254	22.0107559	2000-2009 –> 2010-2019	13.6369574	6.2744873	52525.88499	22.718355	8	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	3855	7.3109819	26288.117310	4.538635	27.3959760	2000-2009 –> 2010-2019	13.6793233	6.3683414	52591.14915	10.521017	5	13
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	3855	7.4146963	26396.723617	5.822066	27.4451947	2000-2009 –> 2010-2019	13.7636472	6.3489510	52675.23780	13.536975	9	15
Indo-Pacific	(26.75,27]	2	cstar_tref ~ sal + aou	3855	7.4410258	26422.053260	1.006198	23.6591126	2000-2009 –> 2010-2019	13.8126245	6.3715987	52727.19639	2.077120	10	19
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3855	7.3285174	26308.587690	235.782934	24.0162270	2000-2009 –> 2010-2019	13.8369657	6.5084483	52788.58617	556.771636	6	18
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + phosphate + phosphate_star	3855	7.3527026	26331.989929	214.884220	25.3540656	2000-2009 –> 2010-2019	13.9181270	6.5654244	52880.06561	528.929611	7	21
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5165	4.4575586	30108.865525	50.731148	15.8245122	1982-1999 –> 2000-2009	7.9829635	3.5254050	57054.86640	99.571012	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5165	4.4636723	30123.023899	706.749243	16.8062238	1982-1999 –> 2000-2009	7.9923356	3.5286633	57078.31283	1320.182456	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	5165	4.4771573	30154.184229	18.105027	15.2842952	1982-1999 –> 2000-2009	8.0093626	3.5322053	57119.56019	26.300289	3	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5165	4.4846049	30171.353676	21.570858	15.1587762	1982-1999 –> 2000-2009	8.0198141	3.5352092	57145.27615	30.864885	4	9
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	5165	4.5627124	30347.720504	37.794717	16.4480884	1982-1999 –> 2000-2009	8.0964075	3.5336951	57315.33607	54.033281	6	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	5165	4.5380616	30291.759596	2.355880	15.3732465	1982-1999 –> 2000-2009	8.1298942	3.5918326	57423.44090	6.309348	5	11
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	5165	4.5664346	30356.144073	2.404158	15.1140098	1982-1999 –> 2000-2009	8.2291178	3.6626832	57684.21451	6.451269	7	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	5165	4.6424195	30526.619672	16.291023	16.3652184	1982-1999 –> 2000-2009	8.2415540	3.5991345	57678.71910	22.942148	12	19
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + phosphate + phosphate_star	5165	4.5752780	30376.130032	2.283991	15.4280595	1982-1999 –> 2000-2009	8.2607156	3.6854375	57766.46758	6.447656	8	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	5165	4.6929856	30638.527521	21.238911	16.4057672	1982-1999 –> 2000-2009	8.3170648	3.6240791	57860.06821	29.440751	14	22
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4817	4.9581599	29106.422040	37.531250	16.8254213	2000-2009 –> 2010-2019	9.4157185	4.4575586	59215.28757	88.262398	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4817	4.9599442	29109.888406	518.579322	16.6882699	2000-2009 –> 2010-2019	9.4236165	4.4636723	59232.91230	1225.328565	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	4817	4.9623706	29114.600104	9.898804	16.6061357	2000-2009 –> 2010-2019	9.4395278	4.4771573	59268.78433	28.003831	4	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4817	4.9678248	29125.183118	12.014857	16.4416387	2000-2009 –> 2010-2019	9.4524297	4.4846049	59296.53679	33.585715	6	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	4817	4.9611884	29110.304804	22.268604	16.7211802	2000-2009 –> 2010-2019	9.5239009	4.5627124	59458.02531	60.063321	3	9
Indo-Pacific	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	4817	4.9625684	29112.984078	8.948220	16.6419505	2000-2009 –> 2010-2019	9.6049879	4.6424195	59639.60375	25.239243	5	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	4817	5.1012698	29378.555661	2.621525	16.8239749	2000-2009 –> 2010-2019	9.6393314	4.5380616	59670.31526	4.977404	12	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	4817	5.0783270	29335.129292	2.667626	16.5799818	2000-2009 –> 2010-2019	9.6447616	4.5664346	59691.27336	5.071784	10	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	4817	4.9720319	29131.338537	11.735924	16.6120337	2000-2009 –> 2010-2019	9.6650176	4.6929856	59769.86606	32.974835	7	21
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + phosphate + phosphate_star	4817	5.1129846	29400.654180	2.563355	16.9895434	2000-2009 –> 2010-2019	9.6882626	4.5752780	59776.78421	4.847346	13	21
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6886	3.4167177	36475.007507	64.319761	15.5492899	1982-1999 –> 2000-2009	6.4704081	3.0536904	67762.33688	117.083840	1	2
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	6886	3.4464756	36592.435355	53.375800	15.4100958	1982-1999 –> 2000-2009	6.5287381	3.0822625	67992.65107	84.474839	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	6886	3.4907887	36770.380149	18.754446	15.9200660	1982-1999 –> 2000-2009	6.6204264	3.1296377	68360.76103	25.053718	3	6
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	6886	3.4921175	36773.621752	2.105260	15.8595480	1982-1999 –> 2000-2009	6.6221465	3.1300290	68363.54487	5.043996	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6886	3.4945200	36785.093181	28.341811	16.0422068	1982-1999 –> 2000-2009	6.6274301	3.1329100	68388.36586	36.260126	5	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	6886	3.4987000	36799.556960	2.459201	15.9380016	1982-1999 –> 2000-2009	6.6316425	3.1329425	68400.95737	5.742729	7	13
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	6886	3.4951568	36785.602433	2.202283	16.1096081	1982-1999 –> 2000-2009	6.6322383	3.1370815	68403.28950	5.556535	6	13
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	6886	3.6334378	37317.970128	1.745331	17.6645475	1982-1999 –> 2000-2009	6.7876723	3.1542345	69000.92434	4.574900	8	16
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	6886	3.8438514	38095.272954	710.410985	11.0615095	1982-1999 –> 2000-2009	7.0654492	3.2215978	70040.90676	1037.284394	10	19
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate	6886	3.8595124	38151.270109	18.058235	18.1107390	1982-1999 –> 2000-2009	7.5066324	3.6471200	71627.31266	22.848901	11	25
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6263	3.4946886	33458.709669	45.465627	13.6609040	2000-2009 –> 2010-2019	6.9114063	3.4167177	69933.71718	109.785388	1	2
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	6263	3.4947452	33456.912712	33.852834	13.6714258	2000-2009 –> 2010-2019	6.9412208	3.4464756	70049.34807	87.228634	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	6263	3.5050210	33495.689453	9.412695	13.5959519	2000-2009 –> 2010-2019	6.9958097	3.4907887	70266.06960	28.167140	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6263	3.5088363	33509.316930	13.282853	13.6389292	2000-2009 –> 2010-2019	7.0033563	3.4945200	70294.41011	41.624664	4	9
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	6263	3.5155062	33531.104772	2.010313	13.6341344	2000-2009 –> 2010-2019	7.0076237	3.4921175	70304.72652	4.115573	5	9
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	6263	3.5202458	33547.980990	2.373834	13.6442493	2000-2009 –> 2010-2019	7.0189458	3.4987000	70347.53795	4.833035	6	13
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	6263	3.5510569	33657.138497	2.175522	13.9962833	2000-2009 –> 2010-2019	7.0462137	3.4951568	70442.74093	4.377805	7	13
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	6263	3.6222616	33903.821074	1.755885	15.6841941	2000-2009 –> 2010-2019	7.2556994	3.6334378	71221.79120	3.501215	8	16
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate	6263	3.6482714	33995.443071	8.475242	15.2868982	2000-2009 –> 2010-2019	7.5077838	3.8595124	72146.71318	26.533478	9	20
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	6263	3.6825131	34112.460319	394.039134	15.3544833	2000-2009 –> 2010-2019	7.5263645	3.8438514	72207.73327	1104.450118	10	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	7603	1.8731673	31134.132206	994.303762	12.8337518	1982-1999 –> 2000-2009	3.9513481	2.0781808	61486.41909	1677.044665	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	7603	1.8939910	31300.242719	447.941756	12.7023005	1982-1999 –> 2000-2009	3.9889159	2.0949249	61763.74312	770.926192	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	7603	2.0343252	32387.135324	976.125246	11.1453702	1982-1999 –> 2000-2009	4.1125121	2.0781870	62737.46390	1573.477723	3	5
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	7603	2.0469690	32479.351712	413.709106	11.0711324	1982-1999 –> 2000-2009	4.1419097	2.0949407	62940.95905	655.359952	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	7603	2.6951174	36664.242655	51.019457	13.3033374	1982-1999 –> 2000-2009	5.5882250	2.8931076	71681.99651	70.322169	5	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7603	2.8314783	37414.768129	145.619586	12.3801209	1982-1999 –> 2000-2009	5.6990251	2.8675467	72307.32249	248.134781	6	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate	7603	2.8321688	37416.475968	46.696388	12.1435058	1982-1999 –> 2000-2009	5.7418963	2.9097275	72513.04313	62.032368	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	7603	2.8980370	37766.074170	47.780338	14.9656372	1982-1999 –> 2000-2009	5.8909328	2.9928958	73260.23289	64.284384	8	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7603	2.9033799	37796.083074	98.600743	10.4864060	1982-1999 –> 2000-2009	5.9291435	3.0257636	73446.33028	128.687668	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	7603	2.9183507	37872.288533	72.689773	9.5701685	1982-1999 –> 2000-2009	5.9484946	3.0301439	73540.94478	101.518766	10	21
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	7518	2.1552266	32893.241903	397.830887	14.7713913	2000-2009 –> 2010-2019	4.0492176	1.8939910	64193.48462	845.772644	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	7518	2.1757597	33035.813462	989.175598	17.0578738	2000-2009 –> 2010-2019	4.2100848	2.0343252	65422.94879	1965.300844	2	4
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	7518	2.1915556	33142.580299	347.246865	15.1472555	2000-2009 –> 2010-2019	4.2385246	2.0469690	65621.93201	760.955971	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	7518	2.7114109	36345.105410	32.436446	11.4289293	2000-2009 –> 2010-2019	5.4065282	2.6951174	73009.34806	83.455903	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7518	2.8703032	37201.383700	115.945165	11.7669724	2000-2009 –> 2010-2019	5.7017815	2.8314783	74616.15183	261.564751	7	12
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate	7518	2.9018152	37363.558896	29.524385	10.5321339	2000-2009 –> 2010-2019	5.7339840	2.8321688	74780.03486	76.220773	9	15
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	7518	2.8413625	37047.009293	30.310891	12.4195209	2000-2009 –> 2010-2019	5.7393994	2.8980370	74813.08346	78.091229	5	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7518	2.8644182	37170.523944	60.849277	9.6511622	2000-2009 –> 2010-2019	5.7677982	2.9033799	74966.60702	159.450020	6	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	7518	2.8905941	37305.303430	47.385729	10.1099896	2000-2009 –> 2010-2019	5.8089448	2.9183507	75177.59196	120.075501	8	17
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	7518	2.9658628	37691.817717	2.489051	9.8958727	2000-2009 –> 2010-2019	5.9176688	2.9518060	75737.43265	5.045078	10	20
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3643	1.0531831	10727.925894	879.492136	5.6292083	1982-1999 –> 2000-2009	2.3404587	1.2872755	21841.80647	1422.451302	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3643	1.1041416	11072.196785	897.429978	5.6435245	1982-1999 –> 2000-2009	2.4082839	1.3041423	22272.54042	1726.542070	2	4
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	3643	1.1119499	11121.540748	450.511447	5.5338113	1982-1999 –> 2000-2009	2.4199103	1.3079605	22339.30192	703.634502	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3643	1.6239537	13883.103120	506.386874	11.6215636	1982-1999 –> 2000-2009	3.3854705	1.7615168	27080.22898	915.325400	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3643	1.9278552	15132.975461	867.368381	9.0360195	1982-1999 –> 2000-2009	3.7128150	1.7849598	28417.91269	1460.143802	6	11
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate	3643	1.9454830	15197.294110	98.849851	10.7132587	1982-1999 –> 2000-2009	3.7337439	1.7882609	28492.50358	186.198460	8	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	3643	1.9365052	15163.593453	104.405590	7.4722721	1982-1999 –> 2000-2009	3.7745444	1.8380392	28641.16441	195.960648	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate_star	3643	2.2167880	16148.474288	1.498257	7.7725824	1982-1999 –> 2000-2009	4.2837788	2.0669908	30405.77918	3.620201	9	17
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	3643	1.9035544	15038.550882	427.342591	14.9333345	1982-1999 –> 2000-2009	4.3593542	2.4557998	30440.66221	784.108627	5	21
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3643	2.2898849	16386.848431	855.516317	7.6195241	1982-1999 –> 2000-2009	4.4277934	2.1379085	30870.21585	1439.680064	10	19
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3950	1.1982946	12650.719727	941.200159	14.2493009	2000-2009 –> 2010-2019	2.2514778	1.0531831	23378.64562	1820.692295	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3950	1.2858624	13207.908382	859.630658	10.0401768	2000-2009 –> 2010-2019	2.3900040	1.1041416	24280.10517	1757.060636	2	4
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	3950	1.2903058	13233.160546	396.849552	9.7030474	2000-2009 –> 2010-2019	2.4022557	1.1119499	24354.70129	847.360999	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3950	1.6320147	15091.155042	650.731609	17.2436465	2000-2009 –> 2010-2019	3.2559684	1.6239537	28974.25816	1157.118483	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3950	1.9033373	16306.124202	946.581741	13.0238061	2000-2009 –> 2010-2019	3.8311925	1.9278552	31439.09966	1813.950122	5	11
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	3950	1.9484755	16489.287703	557.172712	21.6721257	2000-2009 –> 2010-2019	3.8520298	1.9035544	31527.83858	984.515303	8	13
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate	3950	1.9108045	16335.056879	137.916160	13.9367201	2000-2009 –> 2010-2019	3.8562875	1.9454830	31532.35099	236.766010	6	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	3950	1.9285861	16408.233050	150.829677	10.0454064	2000-2009 –> 2010-2019	3.8650913	1.9365052	31571.82650	255.235267	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate_star	3950	2.1879101	17404.894241	2.006622	8.0186794	2000-2009 –> 2010-2019	4.4046982	2.2167880	33553.36853	3.504879	9	18
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3950	2.2401400	17593.267475	894.534006	9.3557171	2000-2009 –> 2010-2019	4.5300249	2.2898849	33980.11591	1750.050323	10	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4823	0.9991353	13690.736884	847.697988	11.3328311	1982-1999 –> 2000-2009	2.2219806	1.2228453	27431.62447	1642.967277	1	2
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	4823	1.0070007	13764.374467	625.699679	11.6463107	1982-1999 –> 2000-2009	2.2447307	1.2377300	27605.78609	1012.125560	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4823	1.9373335	20078.101942	575.020374	8.8244765	1982-1999 –> 2000-2009	3.7555410	1.8182075	37180.37752	998.654347	4	7
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	4823	1.9375215	20077.037676	63.224382	8.8959211	1982-1999 –> 2000-2009	3.7674400	1.8299186	37231.71930	114.602014	5	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4823	1.8788384	19782.366973	295.606047	10.8704791	1982-1999 –> 2000-2009	3.8982422	2.0194038	37773.99900	564.356891	3	8
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4823	1.9911638	20340.467362	57.866256	7.0808563	1982-1999 –> 2000-2009	4.0110717	2.0199079	38332.21438	113.175780	6	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate_star	4823	2.2326803	21444.775102	2.244833	9.7446190	1982-1999 –> 2000-2009	4.4087526	2.1760724	40067.57808	4.377704	8	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	4823	2.2986995	21727.866938	528.686615	9.8341531	1982-1999 –> 2000-2009	4.5361036	2.2374040	40588.20223	960.830051	9	17
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	4823	2.3027645	21742.909567	2.400937	10.0455392	1982-1999 –> 2000-2009	4.5463987	2.2436342	40624.80833	4.749352	11	20
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + phosphate + phosphate_star	4823	2.2991379	21727.706450	2.406576	9.9060868	1982-1999 –> 2000-2009	4.5561985	2.2570606	40660.16430	4.789775	10	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	5595	0.8506659	14080.097834	808.785024	4.7475910	2000-2009 –> 2010-2019	1.8498012	0.9991353	27770.83472	1656.483012	1	2
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	5595	0.8508242	14080.181066	557.665400	4.6930783	2000-2009 –> 2010-2019	1.8578249	1.0070007	27844.55553	1183.365078	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5595	1.7626382	22232.544620	340.755932	8.2692950	2000-2009 –> 2010-2019	3.6414766	1.8788384	42014.91159	636.361979	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5595	1.8544740	22800.878696	521.457884	6.0770618	2000-2009 –> 2010-2019	3.7918075	1.9373335	42878.98064	1096.478258	4	8
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	5595	1.8558015	22806.886062	68.179571	5.8791015	2000-2009 –> 2010-2019	3.7933230	1.9375215	42883.92374	131.403952	5	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	5595	1.9061872	23106.647495	69.090063	6.8975654	2000-2009 –> 2010-2019	3.8973510	1.9911638	43447.11486	126.956318	6	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	5595	2.0284327	23802.200046	323.197913	7.5192692	2000-2009 –> 2010-2019	4.1352201	2.1067874	44687.13535	596.534259	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate_star	5595	2.0616080	23983.733546	1.990449	6.5440749	2000-2009 –> 2010-2019	4.2942883	2.2326803	45428.50865	4.235282	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	5595	2.1084612	24237.196596	518.800892	6.3025423	2000-2009 –> 2010-2019	4.4071607	2.2986995	45965.06353	1047.487507	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	5595	2.1115242	24251.440639	2.015003	6.5978712	2000-2009 –> 2010-2019	4.4142887	2.3027645	45994.35021	4.415940	10	21
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	8638	1.2945562	28985.691375	679.064480	6.0496283	1982-1999 –> 2000-2009	2.6187877	1.3242315	56564.57504	1044.193137	1	2
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	8638	1.3307797	29460.458398	75.909532	6.3770492	1982-1999 –> 2000-2009	2.8386195	1.5078398	59143.17975	133.216916	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	8638	1.4737454	31225.336360	513.332765	6.6995994	1982-1999 –> 2000-2009	3.0157432	1.5419978	61273.35415	876.297162	6	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8638	1.4432053	30863.568936	363.444687	6.8954897	1982-1999 –> 2000-2009	3.1326389	1.6894336	62392.52464	685.773738	3	7
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	8638	1.4658184	31130.161697	5.533881	6.4752446	1982-1999 –> 2000-2009	3.1699165	1.7040981	62797.28473	9.555990	5	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	8638	1.4843615	31347.338237	5.826568	6.6060754	1982-1999 –> 2000-2009	3.1759073	1.6915458	62894.55766	10.346835	7	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + phosphate + phosphate_star	8638	1.4953057	31474.246200	5.799063	6.5462608	1982-1999 –> 2000-2009	3.2443044	1.7489988	63563.15857	10.393716	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate	8638	1.6052463	32699.918745	453.774151	7.6441035	1982-1999 –> 2000-2009	3.2969412	1.6916949	64248.56832	798.357304	10	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	8638	1.4474928	30912.816582	57.325952	7.2455176	1982-1999 –> 2000-2009	3.3418093	1.8943164	64296.16161	118.042346	4	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	8638	1.6784091	33469.895899	461.973171	8.0714290	1982-1999 –> 2000-2009	3.5155449	1.8371358	66356.15436	788.928912	14	23
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	9866	0.9952749	27917.038424	658.483929	5.3654176	2000-2009 –> 2010-2019	2.2898311	1.2945562	56902.72980	1337.548409	1	2
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	9866	1.0317207	28624.686049	83.385576	5.3183637	2000-2009 –> 2010-2019	2.3625004	1.3307797	58085.14445	159.295108	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	9866	1.1190436	30229.840262	467.625631	6.5303458	2000-2009 –> 2010-2019	2.5622490	1.4432053	61093.40920	831.070319	3	6
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	9866	1.1191335	30229.424412	70.927477	6.4696806	2000-2009 –> 2010-2019	2.5666263	1.4474928	61142.24099	128.253428	4	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	9866	1.1442824	30667.928179	3.640014	5.9261048	2000-2009 –> 2010-2019	2.6101008	1.4658184	61798.08988	9.173894	6	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	9866	1.1396997	30590.747043	564.125384	5.1402448	2000-2009 –> 2010-2019	2.6134451	1.4737454	61816.08340	1077.458149	5	11
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	9866	1.1617431	30966.746986	3.833765	5.8371873	2000-2009 –> 2010-2019	2.6461046	1.4843615	62314.08522	9.660333	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + phosphate + phosphate_star	9866	1.1763290	31212.943901	3.827740	6.1228360	2000-2009 –> 2010-2019	2.6716347	1.4953057	62687.19010	9.626803	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	9866	1.2870899	32988.532247	416.475340	7.6189526	2000-2009 –> 2010-2019	2.8396897	1.5525998	65112.35915	715.873899	10	19
Indo-Pacific	(27.95,28.05]	2	cstar_tref ~ sal + aou	9866	1.2605706	32575.725537	1.038173	8.5732823	2000-2009 –> 2010-2019	2.9666626	1.7060920	66326.23994	2.049026	9	26
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5759	0.7052869	12333.817498	767.251231	6.0412275	1982-1999 –> 2000-2009	1.5396784	0.8343915	26125.96380	1116.779781	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5759	0.7164595	12514.846042	386.195853	7.0453232	1982-1999 –> 2000-2009	1.5608688	0.8444093	26439.84939	631.343005	3	5
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	5759	0.7061852	12346.478185	91.988231	6.0873530	1982-1999 –> 2000-2009	1.5718139	0.8656287	26545.76333	159.367850	2	9
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	5759	0.7393066	12874.407585	11.040247	7.6783740	1982-1999 –> 2000-2009	1.5862088	0.8469022	26830.22595	17.738269	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	5759	0.7410964	12904.258111	642.898044	7.7162911	1982-1999 –> 2000-2009	1.5866354	0.8455390	26844.14359	1045.583286	5	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + phosphate + phosphate_star	5759	0.7493823	13030.321204	12.151966	7.8228285	1982-1999 –> 2000-2009	1.6023864	0.8530042	27066.05866	20.093275	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	5759	0.7590133	13177.407655	12.146273	7.8291943	1982-1999 –> 2000-2009	1.6048352	0.8458219	27119.01695	19.689366	7	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	5759	0.7964829	13732.417954	77.021089	5.9914382	1982-1999 –> 2000-2009	2.0073406	1.2108577	31667.91557	162.365084	8	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	5759	1.2025409	18477.676084	619.155170	5.7921209	1982-1999 –> 2000-2009	2.2925692	1.0900283	35242.91900	894.884753	10	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	5759	1.1348230	17810.092496	334.453002	5.4151273	1982-1999 –> 2000-2009	2.4022604	1.2674374	36253.96735	559.287179	9	21
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	8070	0.4785888	11019.882604	630.910206	4.8130533	2000-2009 –> 2010-2019	1.1838757	0.7052869	23353.70010	1398.161437	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8070	0.4829541	11166.433981	339.085074	4.8972059	2000-2009 –> 2010-2019	1.1994136	0.7164595	23681.28002	725.280928	2	5
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	8070	0.5155579	12218.826809	68.889291	4.5674823	2000-2009 –> 2010-2019	1.2217431	0.7061852	24565.30499	160.877522	4	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	8070	0.5285180	12621.539098	597.330716	4.8446876	2000-2009 –> 2010-2019	1.2696144	0.7410964	25525.79721	1240.228760	5	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	8070	0.4998990	11721.010444	63.856688	5.1973708	2000-2009 –> 2010-2019	1.2963819	0.7964829	25453.42840	140.877777	3	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	8070	0.5763227	14017.115603	5.520813	4.4399164	2000-2009 –> 2010-2019	1.3156293	0.7393066	26891.52319	16.561061	6	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + phosphate + phosphate_star	8070	0.5896284	14385.506010	6.170209	4.3764760	2000-2009 –> 2010-2019	1.3390106	0.7493823	27415.82721	18.322175	7	13
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	8070	0.6107788	14954.318179	6.131849	4.4711802	2000-2009 –> 2010-2019	1.3697921	0.7590133	28131.72583	18.278122	8	15
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	8070	0.9494617	22074.646744	310.874377	4.5732299	2000-2009 –> 2010-2019	2.0842847	1.1348230	39884.73924	645.327378	9	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	8070	1.0668731	23956.442390	584.808788	6.6231878	2000-2009 –> 2010-2019	2.2694139	1.2025409	42434.11847	1203.963958	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	8973	0.7694482	20774.954799	768.392925	12.5661849	1982-1999 –> 2000-2009	1.3606672	0.5912189	38836.80858	1281.415561	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8973	0.7896136	21237.218121	131.631455	12.8699386	1982-1999 –> 2000-2009	1.3862814	0.5966678	39482.40635	219.410761	3	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	8973	0.7837164	21102.686713	435.456453	12.2795070	1982-1999 –> 2000-2009	1.4036863	0.6199699	40121.82213	619.480757	2	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	8973	0.8272555	22072.960460	222.744511	12.9236201	1982-1999 –> 2000-2009	1.4764943	0.6492388	42024.00901	451.781203	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate	8973	0.8341175	22221.207946	450.839348	11.7153054	1982-1999 –> 2000-2009	1.4992840	0.6651664	42661.88536	632.048002	5	10
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	8973	0.8495297	22547.774262	6.977168	12.6462287	1982-1999 –> 2000-2009	1.5305159	0.6809861	43461.29300	12.582316	7	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate	8973	0.8649912	22871.456420	37.187813	12.1542296	1982-1999 –> 2000-2009	1.5541147	0.6891235	44024.94569	72.388084	9	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + nitrate	8973	0.8350187	22238.586510	34.914300	11.5425594	1982-1999 –> 2000-2009	1.5555918	0.7205731	44293.61713	68.322517	6	15
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + phosphate + phosphate_star	8973	0.8580501	22726.867204	7.008605	12.5376535	1982-1999 –> 2000-2009	1.5585618	0.7005117	44211.47959	12.684394	8	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	8973	0.8667279	22907.451814	7.048515	12.4936589	1982-1999 –> 2000-2009	1.5959032	0.7291752	45202.22406	12.648241	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	10751	0.5473775	17566.554023	579.588023	6.6105970	2000-2009 –> 2010-2019	1.3168257	0.7694482	38341.50882	1347.980948	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	10751	0.5474130	17565.947436	299.442402	6.6193197	2000-2009 –> 2010-2019	1.3311294	0.7837164	38668.63415	734.898855	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	10751	0.6981930	22797.213806	95.005660	7.3169987	2000-2009 –> 2010-2019	1.4878066	0.7896136	44034.43193	226.637115	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate	10751	0.7512157	24371.101705	275.095704	5.6599066	2000-2009 –> 2010-2019	1.5853332	0.8341175	46592.30965	725.935052	4	9
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + nitrate	10751	0.7556410	24495.395651	36.508130	6.0195542	2000-2009 –> 2010-2019	1.5906597	0.8350187	46733.98216	71.422429	5	11
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	10751	0.7770211	25097.324628	172.781849	7.3619209	2000-2009 –> 2010-2019	1.6042766	0.8272555	47170.28509	395.526360	6	10
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	10751	0.7820727	25234.663100	5.119853	7.2820388	2000-2009 –> 2010-2019	1.6316025	0.8495297	47782.43736	12.097022	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + phosphate + phosphate_star	10751	0.7883885	25407.609809	5.118599	7.2153730	2000-2009 –> 2010-2019	1.6464386	0.8580501	48134.47701	12.127204	8	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	10751	0.8099538	25987.865130	5.080272	7.1647289	2000-2009 –> 2010-2019	1.6766817	0.8667279	48895.31694	12.128787	9	19
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate	10751	0.8463984	26934.233078	35.683238	6.5150653	2000-2009 –> 2010-2019	1.7113896	0.8649912	49805.68950	72.871051	10	19
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1590	0.5031882	2342.228837	440.421661	3.5389399	1982-1999 –> 2000-2009	0.7770391	0.2738509	2827.03932	1331.023657	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1590	0.5113386	2391.324543	405.312939	4.5928913	1982-1999 –> 2000-2009	0.8176347	0.3062961	3300.06279	1280.200299	2	5
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1590	0.5300523	2505.625140	429.378136	4.1817807	1982-1999 –> 2000-2009	0.8190930	0.2890408	3193.78985	1269.743994	5	7
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1590	0.5322860	2516.997925	401.982683	4.7157146	1982-1999 –> 2000-2009	0.8484873	0.3162013	3544.80523	1219.948151	7	11
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1590	0.5222642	2458.554564	438.232782	4.3451189	1982-1999 –> 2000-2009	0.8524300	0.3301658	3652.75487	1205.843093	3	8
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate	1590	0.5228851	2460.333023	379.877593	4.6012853	1982-1999 –> 2000-2009	0.8605247	0.3376396	3737.68251	1147.320551	4	10
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + nitrate + phosphate	1590	0.5308826	2508.602671	307.875463	4.0190851	1982-1999 –> 2000-2009	0.8711796	0.3402970	3815.77447	440.776170	6	13
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + phosphate	1590	0.5380477	2549.234670	56.638779	4.8665995	1982-1999 –> 2000-2009	0.8812665	0.3432188	3886.92841	93.083735	8	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1590	0.7598661	3650.954991	198.295053	5.8974277	1982-1999 –> 2000-2009	1.2076024	0.4477363	6003.88996	428.106461	9	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + phosphate + phosphate_star	1590	0.7637998	3665.375037	13.486014	6.1485357	1982-1999 –> 2000-2009	1.2116184	0.4478186	6017.00910	20.128373	11	21
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1726	0.3439629	1228.127264	955.534539	1.3222773	2000-2009 –> 2010-2019	0.8471511	0.5031882	3570.35610	1395.956200	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1726	0.3459026	1245.538985	404.435698	1.3915583	2000-2009 –> 2010-2019	0.8572412	0.5113386	3636.86353	809.748637	3	5
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1726	0.3508686	1294.746226	907.410453	1.4322502	2000-2009 –> 2010-2019	0.8731328	0.5222642	3753.30079	1345.643235	5	8
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate	1726	0.3508790	1292.848908	341.064954	1.4368152	2000-2009 –> 2010-2019	0.8737641	0.5228851	3753.18193	720.942547	6	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1726	0.3449315	1235.834510	931.670943	1.2873621	2000-2009 –> 2010-2019	0.8749838	0.5300523	3741.45965	1361.049078	2	7
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1726	0.3476613	1261.046470	373.583566	1.3461600	2000-2009 –> 2010-2019	0.8799473	0.5322860	3778.04439	775.566249	4	11
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + nitrate + phosphate	1726	0.4195682	1910.012913	892.506342	2.0030840	2000-2009 –> 2010-2019	0.9504508	0.5308826	4418.61558	1200.381805	7	13
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + phosphate	1726	0.4694026	2295.447299	56.124442	1.9099459	2000-2009 –> 2010-2019	1.0074503	0.5380477	4844.68197	112.763220	8	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1726	0.5245290	2682.757336	299.119302	5.9207657	2000-2009 –> 2010-2019	1.2843951	0.7598661	6333.71233	497.414356	9	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + phosphate + phosphate_star	1726	0.5258478	2689.425118	31.594611	5.9037183	2000-2009 –> 2010-2019	1.2896476	0.7637998	6354.80016	45.080625	10	21
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + nitrate + phosphate_star	146	0.0104945	-906.285175	139.197673	0.0365720	1982-1999 –> 2000-2009	0.7763883	0.7658938	-336.30298	219.430114	3	6
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + nitrate	146	0.0495540	-453.040251	537.166489	0.1208832	1982-1999 –> 2000-2009	0.7798507	0.7302967	93.81193	827.856687	7	8
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ aou + nitrate	146	0.0521879	-439.918022	245.471543	0.1320669	1982-1999 –> 2000-2009	0.8159334	0.7637455	126.69904	395.661016	8	10
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + phosphate + phosphate_star	146	0.0069993	-1024.557196	125.757345	0.0221969	1982-1999 –> 2000-2009	0.8411789	0.8341796	-413.06804	200.443256	1	6
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ nitrate + phosphate_star	146	0.0119869	-869.460210	52.791978	0.0471682	1982-1999 –> 2000-2009	0.8668590	0.8548721	-248.06256	96.822120	4	12
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + phosphate	146	0.0268671	-631.790968	364.910586	0.0685255	1982-1999 –> 2000-2009	0.8683041	0.8414370	-16.09187	647.338714	5	11
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + nitrate	146	0.1179559	-201.803742	37.608555	0.6927524	1982-1999 –> 2000-2009	0.8842669	0.7663110	366.44311	40.912122	12	16
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate	146	0.0786932	-319.991971	29.563398	0.4849840	1982-1999 –> 2000-2009	0.9209314	0.8422382	294.16966	32.966726	9	16
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	146	0.1137958	-210.287941	239.741441	0.3295728	1982-1999 –> 2000-2009	0.9764816	0.8626857	417.53164	492.332723	10	19
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ phosphate + phosphate_star	146	0.0091441	-948.505280	37.493278	0.0392492	1982-1999 –> 2000-2009	0.9773465	0.9682023	-266.60585	83.064914	2	15
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ phosphate + phosphate_star	32	0.0100306	-195.723329	632.543825	0.0292969	2000-2009 –> 2010-2019	0.0191747	0.0091441	-1144.22861	670.037103	1	2
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ nitrate + phosphate_star	32	0.0113456	-187.839358	782.616915	0.0328582	2000-2009 –> 2010-2019	0.0233325	0.0119869	-1057.29957	835.408893	2	4
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate	32	0.0527070	-89.540403	147.854605	0.1674367	2000-2009 –> 2010-2019	0.1314002	0.0786932	-409.53237	177.418002	3	6
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + nitrate	32	0.0601855	-81.048706	140.703146	0.1878757	2000-2009 –> 2010-2019	0.1781413	0.1179559	-282.85245	178.311700	4	8
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + aou	32	0.0856904	-58.436842	104.311268	0.2451038	2000-2009 –> 2010-2019	0.3457991	0.2601087	-29.33028	169.273587	5	10
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate_star	32	0.1050383	-45.407444	83.704047	0.2782765	2000-2009 –> 2010-2019	0.5435341	0.4384958	136.19633	182.155532	6	12

5.4.2 per fitting unit

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

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2009	11.6654201	4118.850821
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	11.6635121	3624.371698
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	10.6884582	14086.720632
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	11.0944853	12976.306101
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	7.9159826	13246.965356
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.5717449	11247.041833
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	6.8157533	19553.833343
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	6.8240943	16060.786099
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	6.0540771	25045.415216
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	6.7312670	19798.765977
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	6.0938727	33683.647175
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	6.9989394	28756.743744
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	6.6348305	48316.993465
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	7.7363014	41049.291193
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	6.3791563	29345.808586
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	7.2705601	26406.641034
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	7.7334740	96521.918524
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	9.5423804	83722.156501
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	5.1321364	71557.028092
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	5.7713371	53736.722686
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	3.6513846	27193.797881
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	4.0815317	22745.021664
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.5356339	23398.176975
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.7157157	19378.670370
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	0.9967594	5629.750852
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.1613339	5854.410482
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	0.9293077	6528.638099
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	0.8991766	5865.297566
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	24.8952679	58211.807201
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	24.7906388	77326.304449
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	22.6100510	54048.192054
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	24.1571118	52441.839636
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	17.3391658	45812.186332
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	19.9939483	43728.513848
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	11.8786287	50904.355139
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	13.6508553	52558.509334
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.1279230	57412.626192
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	9.5497555	59501.938895
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.7492784	68834.105034
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.1214424	70721.478801
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	5.0992403	68567.845522
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	5.2573932	71833.861527
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	3.4846153	27080.211569
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	3.4639030	29459.231042
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.7946460	36749.647370
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	3.6082542	40891.537882
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.1350213	62352.951883
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	2.6128844	61727.757214
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	1.7754597	29013.582359
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	1.4549159	28733.744468
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	1.4921100	42432.049090
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	1.5582144	45615.907261
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	0.9146876	3997.973651
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	0.9738164	4418.501643
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	0.8707541	1.852408
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	0.2068970	-464.507824

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

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	nitrate	phosphate	phosphate_star	sal
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	7	10	7	6	6
(26,26.5]	6	9	7	5	5
(26.5,26.75]	6	7	5	6	8
(26.75,27]	6	6	4	7	9
(27,27.25]	6	8	6	6	7
(27.25,27.5]	7	6	6	7	9
(27.5,27.75]	6	8	6	5	10
(27.75,27.85]	6	10	7	7	6
(27.85,27.95]	6	10	7	7	6
(27.95,28.05]	5	10	6	7	5
(28.05,28.1]	5	10	5	6	6
(28.1,28.15]	7	8	6	6	7
(28.15,28.2]	7	8	5	6	6
(28.2, Inf]	8	5	6	10	6
total	88.00	115.00	83.00	91.00	96.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	10	7	6	6
(26,26.5]	6	9	7	5	5
(26.5,26.75]	6	7	6	6	7
(26.75,27]	6	6	4	7	8
(27,27.25]	7	8	6	6	7
(27.25,27.5]	7	6	6	7	9
(27.5,27.75]	6	10	7	6	7
(27.75,27.85]	5	10	6	7	5
(27.85,27.95]	6	10	7	7	6
(27.95,28.05]	5	10	6	8	6
(28.05,28.1]	6	10	6	4	5
(28.1,28.15]	7	8	6	6	7
(28.15,28.2]	6	7	6	7	7
(28.2, Inf]	9	6	6	9	6
total	89.00	117.00	86.00	91.00	91.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	10	8	6	6	5
(26,26.5]	9	6	7	6	5
(26.5,26.75]	5	8	6	5	9
(26.75,27]	6	5	6	4	10
(27,27.25]	6	8	6	8	6
(27.25,27.5]	5	5	6	7	9
(27.5,27.75]	7	8	8	7	7
(27.75,27.85]	9	6	6	7	7
(27.85,27.95]	7	5	6	7	9
(27.95,28.05]	6	7	6	6	8
(28.05,28.1]	7	7	5	6	8
(28.1,28.2]	7	6	6	7	10
(28.2,28.3]	5	8	10	6	6
(28.3, Inf]	4	5	4	5	7
total	93.00	92.00	88.00	87.00	106.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	10	8	6	6	5
(26,26.5]	10	6	8	6	5
(26.5,26.75]	5	7	5	5	10
(26.75,27]	8	5	6	6	8
(27,27.25]	6	8	6	8	6
(27.25,27.5]	5	5	6	7	9
(27.5,27.75]	6	8	7	7	7
(27.75,27.85]	9	6	6	7	7
(27.85,27.95]	8	6	5	7	8
(27.95,28.05]	7	6	4	6	9
(28.05,28.1]	7	7	5	6	8
(28.1,28.2]	7	6	6	7	10
(28.2,28.3]	5	8	10	6	6
(28.3, Inf]	1	2	2	3	4
total	94.00	88.00	82.00	87.00	102.00

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

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

Past versions of aic_vs_rmse_selected_models-1.png

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

Session information

sessionInfo()

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

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

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

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

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

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