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: 577b3ba

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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	3300527	Donghe-Zhu	2021-07-31	Build site.
html	afeb6fd	Donghe-Zhu	2021-07-31	Build site.
html	cb3ef32	Donghe-Zhu	2021-07-31	Build site.
html	6528618	Donghe-Zhu	2021-07-31	Build site.
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html	f4de2f3	Donghe-Zhu	2021-07-30	Build site.
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html	400c457	Donghe-Zhu	2021-07-29	Build site.
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html	422d5fd	Donghe-Zhu	2021-07-29	Build site.
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html	dcf34b1	Donghe-Zhu	2021-07-23	Build site.
html	419cb72	Donghe-Zhu	2021-07-22	Build site.
html	9447d10	Donghe-Zhu	2021-07-22	Build site.
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html	25bb96f	Donghe-Zhu	2021-07-22	Build site.
html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
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html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
html	9950e70	Donghe-Zhu	2021-07-21	Build site.
html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
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html	4dce223	Donghe-Zhu	2021-07-20	Build site.
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html	57d0420	Donghe-Zhu	2021-07-16	Build site.
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html	363270a	Donghe-Zhu	2021-07-15	Build site.
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html	cb1c8dc	Donghe-Zhu	2021-07-04	Build site.
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html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
html	caf62d8	Donghe-Zhu	2021-06-25	Build site.
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
html	9221bfe	Donghe-Zhu	2021-06-24	Build site.
html	bff5fbf	Donghe-Zhu	2021-06-23	Build site.
html	256a616	Donghe-Zhu	2021-06-23	Build site.
html	00072e2	Donghe-Zhu	2021-06-23	Build site.
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html	61cae2b	Donghe-Zhu	2021-06-20	1
html	d20c383	Donghe-Zhu	2021-06-18	Build site.
html	b0874a2	Donghe-Zhu	2021-06-17	Build site.
html	72c2f2e	Donghe-Zhu	2021-06-15	Build site.
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html	65c89c8	Donghe-Zhu	2021-06-06	Build site.
html	9baa3b2	Donghe-Zhu	2021-06-06	debug
html	b7d99cf	Donghe-Zhu	2021-06-06	Build site.
html	5d8fa90	Donghe-Zhu	2021-06-06	Build site.
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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, oxygen, 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:

• 49

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 + oxygen + aou + nitrate + phosphate	250	5.3396497	1561.049297	172.013376	15.6982126	1982-1999 –> 2000-2009	9.8759075	4.5362578	3902.295790	419.593500	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	250	5.6819408	1590.115696	142.959684	18.6086353	1982-1999 –> 2000-2009	10.6625322	4.9805915	4003.558522	389.626277	2	4
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	4033.952392	219.712931	4	7
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	4043.105442	125.148178	3	7
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	4048.454165	124.680695	5	10
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + nitrate	250	6.0408958	1618.745422	50.322614	16.4269098	1982-1999 –> 2000-2009	11.2540188	5.2131230	4066.418820	126.394199	6	12
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	4110.195039	163.723054	7	14
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	4162.321522	153.976163	8	17
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	4159.446545	123.132672	9	17
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	4242.288788	153.543582	10	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	318	4.5697386	1882.818927	135.577399	16.4653651	2000-2009 –> 2010-2019	9.9093884	5.3396497	3443.868223	307.590775	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	318	4.6840729	1896.535762	119.945675	17.7717594	2000-2009 –> 2010-2019	10.3660137	5.6819408	3486.651458	262.905358	2	4
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	3545.015423	91.730788	4	7
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	318	5.0874099	1949.069890	61.539939	15.5569858	2000-2009 –> 2010-2019	10.9124085	5.8249986	3551.618538	157.364215	3	7
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	3557.382938	86.402501	6	11
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + nitrate	318	5.1389619	1953.482198	34.553541	16.5036402	2000-2009 –> 2010-2019	11.1798577	6.0408958	3572.227620	84.876155	5	11
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	3613.594275	107.544033	7	14
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	3626.617641	103.852304	8	16
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	3673.751856	86.556746	9	18
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	318	6.1968340	2074.533408	24.385675	15.8092729	2000-2009 –> 2010-2019	12.7713385	6.5745045	3737.602278	55.873303	10	20
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	931	3.9349127	5204.796294	957.639156	16.4208667	1982-1999 –> 2000-2009	8.7932036	4.8582910	13237.794227	1742.346929	2	3
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	13253.666168	572.790891	1	5
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	931	4.0458653	5256.572451	663.441737	15.4633545	1982-1999 –> 2000-2009	9.2671094	5.2212441	13482.229367	1178.585272	3	5
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	13571.641834	204.131470	4	9
Atlantic	(26,26.5]	3	cstar_tref ~ oxygen + aou + nitrate	931	4.3501603	5389.599605	121.071875	17.4987068	1982-1999 –> 2000-2009	9.5742452	5.2240848	13614.710972	300.062223	5	8
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	13915.085496	882.607120	6	12
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	13991.754825	285.147016	7	15
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	14234.984655	596.080682	8	18
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	14232.304255	127.929592	10	17
Atlantic	(26,26.5]	3	cstar_tref ~ oxygen + nitrate + phosphate	931	5.1119551	5690.069113	213.710991	25.1346307	1982-1999 –> 2000-2009	11.0731911	5.9612360	14268.143717	364.951811	9	20
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1138	4.8406040	6830.845995	566.994363	48.6662944	2000-2009 –> 2010-2019	8.7755166	3.9349127	12035.642289	1524.633519	1	3
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	12118.783260	543.531683	4	5
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	1138	5.2461334	7013.954340	389.034504	36.8507275	2000-2009 –> 2010-2019	9.2919987	4.0458653	12270.526791	1052.476241	2	5
Atlantic	(26,26.5]	3	cstar_tref ~ oxygen + aou + nitrate	1138	5.2629018	7019.217596	106.964658	39.8314226	2000-2009 –> 2010-2019	9.6130622	4.3501603	12408.817201	228.036533	3	8
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	12416.060914	167.441556	5	9
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	12787.558708	802.290673	6	12
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	12938.612003	245.185541	9	16
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	13096.717738	106.731409	8	18
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	1138	6.4416806	7481.212918	178.950571	34.9969004	2000-2009 –> 2010-2019	11.4651172	5.0234366	13140.757270	567.256792	10	18
Atlantic	(26,26.5]	3	cstar_tref ~ oxygen + nitrate + phosphate	1138	6.5509848	7517.508724	122.622477	42.1459836	2000-2009 –> 2010-2019	11.6629399	5.1119551	13207.577836	336.333468	12	21
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	12476.346836	1060.668722	1	3
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	1005	3.1418196	5163.118725	326.956526	21.0317463	1982-1999 –> 2000-2009	6.7592646	3.6174450	12535.329859	645.006096	4	5
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	12568.138925	192.753555	3	6
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	12861.547243	382.499745	2	9
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	1005	3.3484013	5293.117306	860.940445	26.8495601	1982-1999 –> 2000-2009	7.2343709	3.8859696	12862.235985	1150.748674	5	9
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + nitrate	1005	3.4885122	5373.511872	76.470450	16.4045196	1982-1999 –> 2000-2009	7.3787669	3.8902548	12943.630560	139.458945	6	11
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	13232.346299	330.418501	7	13
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	13408.770216	32.012935	9	17
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + phosphate	1005	4.0947470	5695.573349	117.588854	16.3728578	1982-1999 –> 2000-2009	8.2756545	4.1809076	13461.822193	219.576133	10	20
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + phosphate	1005	4.3826176	5832.135265	774.698172	14.3082474	1982-1999 –> 2000-2009	8.5328030	4.1501854	13578.308460	1503.758022	15	24
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	10526.570504	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	10648.410088	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	10699.489429	186.911040	3	6
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	1041	3.5490475	5601.456222	286.212660	24.9697900	2000-2009 –> 2010-2019	6.6908671	3.1418196	10764.574947	613.169187	5	9
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	10847.776526	1360.884064	4	9
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + nitrate	1041	3.6468137	5658.033713	52.638421	17.3251173	2000-2009 –> 2010-2019	7.1353259	3.4885122	11031.545585	129.108872	6	12
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	11535.204222	315.325846	11	18
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	11563.602609	654.174589	8	16
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	11634.797050	31.705678	12	21
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + phosphate	1041	4.2336166	5968.673913	81.015447	21.7592155	2000-2009 –> 2010-2019	8.3283636	4.0947470	11664.247262	198.604301	13	23
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	18677.706540	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	18700.644373	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	18699.512697	155.169256	3	6
Atlantic	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	1569	3.0533160	7967.353278	841.136156	23.3233558	1982-1999 –> 2000-2009	6.3852477	3.3319317	19124.938978	1596.669110	4	8
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	1569	3.0905068	8003.344592	50.779460	21.8328645	1982-1999 –> 2000-2009	6.4255528	3.3350461	19162.900957	116.045562	5	10
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	1569	3.4464125	8345.382682	419.420304	17.6998174	1982-1999 –> 2000-2009	6.8009204	3.3545079	19529.668103	1006.347340	7	13
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	19598.582947	281.983605	6	13
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	19877.638248	468.017779	8	16
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	20078.045090	33.776126	9	18
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + phosphate_star	1569	3.6420495	8518.640223	14.786118	35.6672482	1982-1999 –> 2000-2009	7.3342847	3.6922352	20110.615078	31.669166	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	15185.633344	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	15210.548589	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	15224.466878	118.309331	3	5
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	1467	3.0802172	7473.915950	34.983274	23.4041420	2000-2009 –> 2010-2019	6.1707239	3.0905068	15477.260541	85.762734	4	8
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	16182.315918	443.353187	5	12
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	16190.118068	193.037458	6	11
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	16396.836114	37.930583	9	19
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + phosphate	1467	3.5798588	7914.964412	48.477630	22.1924824	2000-2009 –> 2010-2019	7.2219083	3.6420495	16433.604635	125.890089	11	20
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	16439.795722	26.955060	13	21
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	1467	3.8737660	8146.468173	433.786039	20.0923799	2000-2009 –> 2010-2019	7.3201785	3.4464125	16491.850855	853.206343	15	21
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	1898	2.6227696	9060.510986	645.296915	17.0094916	1982-1999 –> 2000-2009	5.0205718	2.3978022	23234.525083	1403.830587	1	2
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	23334.858275	1177.756318	4	6
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	1898	2.6228337	9058.603782	402.097848	17.1479911	1982-1999 –> 2000-2009	5.1240765	2.5012428	23491.377705	1018.254643	2	8
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	23426.883675	455.268709	5	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1898	2.6830262	9144.735237	368.008198	20.1238881	1982-1999 –> 2000-2009	5.1389429	2.4559166	23464.601173	947.178401	3	7
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	23497.905686	97.900089	6	11
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + nitrate	1898	2.7151622	9187.931692	27.101631	21.4264334	1982-1999 –> 2000-2009	5.3842186	2.6690564	24019.628366	76.882425	7	14
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	25952.712386	46.208639	8	23
Atlantic	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	1898	3.4537017	10103.230019	643.028661	10.5514517	1982-1999 –> 2000-2009	6.4888464	3.0351447	25730.496299	1310.372103	13	21
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	25737.795552	396.791422	14	23
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	1874	2.9756081	9419.182342	682.502196	11.5412036	2000-2009 –> 2010-2019	5.5983777	2.6227696	18479.693328	1327.799111	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	1874	2.9756875	9417.282327	426.500824	11.5255984	2000-2009 –> 2010-2019	5.5985212	2.6228337	18475.886109	752.652164	2	4
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	18658.682992	1094.396247	3	7
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	18943.945439	401.733559	4	9
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1874	3.3330657	9842.370717	479.349279	18.5040734	2000-2009 –> 2010-2019	6.0160919	2.6830262	18987.105954	847.357477	5	8
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	19025.383990	69.568777	6	12
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + nitrate	1874	3.4168118	9933.378832	26.832620	19.1235859	2000-2009 –> 2010-2019	6.1319740	2.7151622	19121.310524	53.934251	7	14
Atlantic	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	1874	3.6574834	10190.495538	577.043594	14.2801188	2000-2009 –> 2010-2019	7.1111851	3.4537017	20293.725556	1220.072255	8	21
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	20231.322399	38.452758	13	21
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	20493.249545	672.763049	9	25
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	2834	2.8506592	13994.058455	426.203985	17.1570345	1982-1999 –> 2000-2009	5.7932986	2.9426394	33014.709972	813.813799	1	2
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	33019.443275	533.548666	2	4
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	33174.297160	359.564589	7	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	2834	2.8624409	14015.435909	222.118983	17.2174609	1982-1999 –> 2000-2009	5.8867284	3.0242876	33242.307816	542.858715	5	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	2834	2.8611326	14012.844712	236.875261	17.2078999	1982-1999 –> 2000-2009	5.9755966	3.1144640	33463.251327	520.819282	3	12
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	33459.710611	74.228269	4	14
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	33509.214183	46.627524	8	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + phosphate_star	2834	2.8799948	14048.088768	13.008953	17.3041546	1982-1999 –> 2000-2009	6.0672702	3.1872754	33672.311515	43.587632	6	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2834	3.1456263	14550.145325	194.825294	14.2447107	1982-1999 –> 2000-2009	6.1844985	3.0388723	33813.618800	454.087600	10	15
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + nitrate	2834	3.1631809	14579.688528	16.877119	13.8200526	1982-1999 –> 2000-2009	6.2422590	3.0790781	33941.159730	63.755246	11	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	2585	3.7832918	14229.085652	198.955714	53.7396667	2000-2009 –> 2010-2019	6.6339510	2.8506592	28223.144107	435.980267	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	2585	3.7849463	14229.346109	194.205056	55.2449623	2000-2009 –> 2010-2019	6.6473872	2.8624409	28244.782018	416.324040	3	8
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	28305.265846	406.718326	6	8
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	28381.334139	259.875777	5	12
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	28530.678582	41.685471	8	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2585	3.7843340	14228.509610	165.894106	53.6203623	2000-2009 –> 2010-2019	6.9299602	3.1456263	28778.654936	360.719400	2	12
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + nitrate	2585	3.7853491	14227.896283	27.886313	54.9091247	2000-2009 –> 2010-2019	6.9485300	3.1631809	28807.584811	44.763433	4	15
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	28786.471059	978.987805	9	12
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	29003.059797	53.528000	7	21
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + phosphate_star	2585	4.2053634	14771.897061	27.464279	34.7705163	2000-2009 –> 2010-2019	7.0853582	2.8799948	28819.985829	40.473232	10	16
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	47832.734237	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	47861.382064	269.746286	3	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3833	3.5318872	20562.789645	106.097976	24.5375677	1982-1999 –> 2000-2009	6.4944571	2.9625698	47949.381720	211.585652	2	8
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	47978.917491	390.297525	4	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	3833	3.6047757	20719.384440	184.278561	28.1692921	1982-1999 –> 2000-2009	6.5358487	2.9310731	47989.172705	391.333046	6	9
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	48048.792241	26.488150	8	12
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	48145.139409	40.922728	5	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + nitrate	3833	3.6155914	20740.351012	11.326949	30.2984475	1982-1999 –> 2000-2009	6.5789896	2.9633982	48127.998269	30.653072	7	14
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	48679.855986	287.313311	9	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3833	3.7031013	20925.685156	112.384853	17.4101939	1982-1999 –> 2000-2009	6.8004593	3.0973579	48798.489939	217.050877	11	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	3579	3.9194188	19948.184770	167.098473	32.3835094	2000-2009 –> 2010-2019	7.4499101	3.5304913	40509.943871	351.381473	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	40787.947969	347.818105	2	6
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3579	4.0745828	20224.093959	92.092496	25.8584502	2000-2009 –> 2010-2019	7.6064700	3.5318872	40786.883604	198.190472	3	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	40922.257358	248.549470	7	10
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	40978.243646	382.715206	4	10
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	41015.146184	31.110363	9	14
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	41122.070930	24.131179	8	16
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	41231.914128	256.314765	11	20
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	41260.018275	478.861279	5	17
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + nitrate	3579	4.2253526	20482.175169	11.285094	32.3425793	2000-2009 –> 2010-2019	7.8409440	3.6155914	41222.526181	22.612042	16	23
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	2432	3.5376854	13061.248142	319.595546	24.7917008	1982-1999 –> 2000-2009	6.0213190	2.4836335	28779.738942	612.170856	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	29013.383033	183.315429	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	2432	3.7569387	13351.729048	101.037439	24.7101049	1982-1999 –> 2000-2009	6.2622667	2.5053280	29126.872707	170.202060	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	29383.146097	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	29393.942010	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	29320.583254	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	29533.805018	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	29501.776978	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	29512.562910	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	29892.274916	18.786399	10	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	2443	3.0496240	12394.913094	364.545775	16.6109743	2000-2009 –> 2010-2019	6.5873094	3.5376854	25456.161236	684.141322	1	2
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	25700.604111	233.370775	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	2443	3.1421378	12538.931704	122.416519	19.3779787	2000-2009 –> 2010-2019	6.8990765	3.7569387	25890.660752	223.453958	3	6
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	2443	3.2631071	12723.507437	162.911193	23.7952663	2000-2009 –> 2010-2019	7.0935567	3.8304495	26169.489719	284.488098	4	8
Atlantic	(27.75,27.85]	3	cstar_tref ~ oxygen + nitrate + phosphate_star	2443	3.2669952	12727.325755	79.990812	25.3481678	2000-2009 –> 2010-2019	7.1014877	3.8344925	26176.439232	147.061288	5	10
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	26446.933835	163.161005	7	13
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	26480.082152	228.990722	6	14
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	26483.423798	132.889365	8	15
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	26489.206070	225.704659	9	18
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	27089.053124	16.347821	10	20
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	7870	4.5142019	46071.867489	363.912942	32.5154742	1982-1999 –> 2000-2009	7.3729889	2.8587870	94608.319021	742.336652	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	94777.359912	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	95042.503298	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	95395.014606	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	95747.058264	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	96303.096483	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	96830.000829	85.108936	7	13
Atlantic	(27.85,27.95]	3	cstar_tref ~ oxygen + nitrate + phosphate_star	7870	4.8020149	47040.712850	22.019360	34.7949681	1982-1999 –> 2000-2009	8.0703768	3.2683619	98204.132427	41.503158	9	20
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	7870	5.1021509	47996.975369	356.501474	28.2722727	1982-1999 –> 2000-2009	8.2454375	3.1432867	98395.652572	734.442381	12	20
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	99393.298870	10.196226	8	22
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	6186	4.7023033	36721.612452	391.272656	37.3196019	2000-2009 –> 2010-2019	9.2165052	4.5142019	82793.479940	755.185598	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	82823.712126	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	82836.202510	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	82886.386669	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	83279.533086	130.516247	5	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	6186	4.9243221	37290.384428	262.113713	38.9051695	2000-2009 –> 2010-2019	9.5325140	4.6081919	83684.608704	397.193488	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	84068.370412	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	84403.731682	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	85167.535980	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	85278.003894	7.463488	11	19
Atlantic	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	6329	2.1721325	27791.853831	274.872669	16.2040659	1982-1999 –> 2000-2009	4.1895696	2.0174371	65960.684320	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	67088.872855	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	69907.452166	131.935419	3	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	6329	2.4408136	29268.055334	45.588670	12.3432858	1982-1999 –> 2000-2009	4.7824873	2.3416737	70118.376884	99.830026	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	70203.347669	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	71384.226703	147.360474	6	9
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + nitrate + phosphate_star	6329	3.2049105	32713.496029	12.784463	32.8569504	1982-1999 –> 2000-2009	5.5515304	2.3466199	73599.781822	46.113279	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	76071.081659	24.920086	7	19
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	74935.575862	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	76300.880980	3.608973	9	22
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	4623	2.8031132	22663.641480	847.957800	13.0115232	2000-2009 –> 2010-2019	4.9240243	2.1209111	50155.428839	1475.546240	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	4623	2.8075054	22676.117513	422.315357	14.0179583	2000-2009 –> 2010-2019	4.9796379	2.1721325	50467.971344	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	50722.038352	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	52533.585575	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	52689.125598	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	52776.032753	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	55542.438314	129.356175	7	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + nitrate + phosphate	4623	3.3544922	24319.943255	19.300061	26.5443551	2000-2009 –> 2010-2019	6.5594027	3.2049105	57033.439284	32.619117	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	57600.092054	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	57847.074746	5.115316	11	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	2657	1.9136587	11003.115467	455.806210	10.9002560	1982-1999 –> 2000-2009	3.3810113	1.4673527	26287.034678	859.589744	1	2
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	26716.293309	406.959448	2	10
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	26782.656321	470.851866	3	7
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	26911.603470	376.878975	7	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	2657	2.0242862	11299.763331	229.962733	11.2483386	1982-1999 –> 2000-2009	3.5578855	1.5335993	26955.785572	376.453449	4	13
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	26990.167274	223.181998	6	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2657	2.0844233	11455.331136	454.093290	14.6539542	1982-1999 –> 2000-2009	3.5698588	1.4854354	26841.016191	822.268359	10	12
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	27016.486295	201.035226	5	22
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + nitrate + phosphate_star	2657	2.0494479	11363.408592	85.348424	11.9250171	1982-1999 –> 2000-2009	3.5846770	1.5352291	27026.429522	221.927040	8	20
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	27243.243295	358.714823	9	31
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	2675	1.8068213	10770.215970	452.486027	18.1976166	2000-2009 –> 2010-2019	3.7204800	1.9136587	21773.331437	908.292237	1	2
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	22157.528523	443.256645	3	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2675	1.8521266	10900.710664	442.737481	21.9413733	2000-2009 –> 2010-2019	3.9365499	2.0844233	22356.041800	896.830771	2	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	2675	1.9542220	11187.779333	192.545749	22.2770025	2000-2009 –> 2010-2019	3.9785083	2.0242862	22487.542663	422.508482	4	8
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	22539.280411	171.119975	6	11
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	22545.792110	575.927530	7	10
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	22595.230800	208.352654	8	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	2675	1.9912961	11288.324873	223.146634	24.2993261	2000-2009 –> 2010-2019	4.0262322	2.0349361	22615.972217	451.040348	9	16
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	22668.893630	292.249269	12	20
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	22670.684907	426.408783	10	19
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	2691	1.1185105	8253.499650	647.163761	4.4667529	1982-1999 –> 2000-2009	2.4005150	1.2820046	22726.875412	1208.515805	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	2691	1.1190277	8253.988052	524.122163	4.4955211	1982-1999 –> 2000-2009	2.4107574	1.2917296	22790.900016	1004.253221	2	7
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	22811.204609	1203.332517	6	9
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	22888.138643	478.781734	5	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2691	1.1203645	8260.413474	186.877442	4.3805673	1982-1999 –> 2000-2009	2.4804701	1.3601056	23244.629213	331.943680	3	17
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + oxygen + nitrate	2691	1.1234984	8273.447003	10.720979	4.3255248	1982-1999 –> 2000-2009	2.4836874	1.3601890	23256.194445	41.017388	4	19
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	23388.924645	46.306951	7	27
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	2691	1.1964690	8614.122133	438.696616	5.0589925	1982-1999 –> 2000-2009	2.5265514	1.3300824	23404.765843	887.898052	8	18
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	23363.013982	101.485149	12	20
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	23481.569981	280.563890	9	21
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	2931	1.4167311	10373.858215	475.813563	12.9477564	2000-2009 –> 2010-2019	2.5352416	1.1185105	18627.357865	1122.977324	1	2
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	18697.593163	1218.288703	3	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	2931	1.4453951	10489.277253	461.626668	13.2732994	2000-2009 –> 2010-2019	2.5644229	1.1190277	18743.265306	909.577686	5	7
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	18888.753682	475.664638	7	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2931	1.5124957	10755.284981	114.414260	5.5580227	2000-2009 –> 2010-2019	2.6328602	1.1203645	19015.698456	301.291702	10	13
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	19075.530675	37.061131	11	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + oxygen + nitrate	2931	1.5253936	10803.061543	22.376724	6.2705968	2000-2009 –> 2010-2019	2.6488920	1.1234984	19076.508546	33.097703	13	17
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	19359.022839	82.098694	8	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	2931	1.5201076	10784.712537	294.279778	12.3606897	2000-2009 –> 2010-2019	2.7165766	1.1964690	19398.834670	732.976395	12	20
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	19686.627962	123.663380	16	27
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1875	0.4657038	2467.249203	129.653608	2.7955917	1982-1999 –> 2000-2009	0.8227250	0.3570212	4178.306394	210.710272	1	3
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	4240.041722	962.261307	2	3
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	1875	0.4771072	2555.966464	34.290970	3.0193653	1982-1999 –> 2000-2009	0.8358227	0.3587156	4285.704893	53.770656	3	6
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	4468.485506	194.072531	4	8
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	4652.856449	75.658657	5	10
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	5901.644290	40.686165	8	19
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	6114.173318	406.324846	6	20
Atlantic	(28.15,28.2]	3	cstar_tref ~ oxygen + nitrate + phosphate_star	1875	0.6432316	3676.330204	796.016549	4.6913686	1982-1999 –> 2000-2009	1.0535222	0.4102906	5992.848229	929.558541	10	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ oxygen + aou + nitrate	1875	0.6506881	3719.551525	83.213155	4.6071259	1982-1999 –> 2000-2009	1.0624674	0.4117793	6051.889451	122.072519	12	19
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	6102.960153	137.722861	13	22
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1484	0.5102178	2226.190214	46.940180	1.7337184	2000-2009 –> 2010-2019	0.9759216	0.4657038	4693.439417	176.593788	2	3
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	1484	0.5058321	2200.567629	187.711032	2.0359103	2000-2009 –> 2010-2019	0.9797893	0.4739572	4733.693564	1029.741097	1	3
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	1484	0.5103721	2225.087367	13.581097	1.8021012	2000-2009 –> 2010-2019	0.9874792	0.4771072	4781.053831	47.872067	3	6
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	4943.700151	190.272508	4	8
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	5029.596925	75.763111	5	10
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	5742.905761	39.596147	6	14
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1484	0.6531350	2959.126378	43.356776	3.4975692	2000-2009 –> 2010-2019	1.2239863	0.5708513	6189.796230	153.767677	17	23
Atlantic	(28.15,28.2]	3	cstar_tref ~ oxygen + nitrate + phosphate	1484	0.5914902	2662.882826	180.424799	2.4188999	2000-2009 –> 2010-2019	1.2347218	0.6432316	6339.213030	976.441348	8	18
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	6371.878315	851.214406	9	20
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	6308.040583	49.121539	18	25
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	2377.511866	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	3368.548268	1121.418454	2	7
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3027	0.5639197	5134.260060	88.834149	5.1166837	1982-1999 –> 2000-2009	0.7967718	0.2328521	4899.492771	136.541024	5	7
Atlantic	(28.2, Inf]	3	cstar_tref ~ oxygen + aou + phosphate_star	3027	0.5805453	5308.165008	35.407616	4.8447589	1982-1999 –> 2000-2009	0.8186598	0.2381145	5214.962250	51.879164	6	12
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	5321.252749	158.520951	7	10
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	5386.711296	132.263093	8	12
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	5729.791408	107.665395	9	16
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	5758.831530	3.155498	10	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3027	0.4811157	4172.859404	120.868403	4.5954581	1982-1999 –> 2000-2009	0.9291018	0.4479862	8141.693923	198.022627	3	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ oxygen + aou + nitrate	3027	0.4835416	4201.308816	33.966538	5.1378113	1982-1999 –> 2000-2009	0.9355513	0.4520097	8225.581759	48.571731	4	14
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	1525	0.2204094	-270.656805	284.231432	2.6814605	2000-2009 –> 2010-2019	0.5943347	0.3739253	2378.281723	655.229324	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	3207.724746	1247.380501	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1525	0.2397411	-16.234361	24.109311	2.5935370	2000-2009 –> 2010-2019	0.8036608	0.5639197	5118.025700	112.943460	3	8
Atlantic	(28.2, Inf]	3	cstar_tref ~ oxygen + aou + phosphate_star	1525	0.2405928	-7.418502	18.006335	2.6122828	2000-2009 –> 2010-2019	0.8211381	0.5805453	5300.746505	53.413950	4	10
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	5792.631951	127.368991	6	13
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	6109.119205	98.494531	7	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1525	0.4281345	1752.392712	39.859173	1.8885559	2000-2009 –> 2010-2019	0.9092501	0.4811157	5925.252115	160.727577	15	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ oxygen + aou + nitrate	1525	0.4281510	1750.510534	13.276475	1.8842979	2000-2009 –> 2010-2019	0.9116926	0.4835416	5951.819350	47.243013	16	20
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	6407.852143	107.096546	13	21
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	6660.064717	3.199902	14	24
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	4291	7.9674783	30002.139092	84.704315	120.1627919	1982-1999 –> 2000-2009	17.2292296	9.2617513	52752.599163	233.152658	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4291	8.0326729	30070.076245	81.104066	106.8397362	1982-1999 –> 2000-2009	17.8587612	9.8260883	53187.500073	216.461858	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	4291	10.9920004	32761.824335	80.065378	124.2613570	1982-1999 –> 2000-2009	21.8797657	10.8877653	56519.259393	207.815845	4	7
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ oxygen + aou + nitrate	4291	10.9944620	32761.745984	75.512448	121.1967757	1982-1999 –> 2000-2009	22.6717965	11.6773345	56953.903655	184.107222	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate	4291	11.3044988	33002.403472	65.124444	41.3729346	1982-1999 –> 2000-2009	22.7609094	11.4564107	57077.413563	186.397652	6	10
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	57744.381656	132.193754	3	11
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	58648.736151	131.142796	7	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ oxygen + aou + phosphate_star	4291	13.6286668	34605.019984	60.390355	45.1986719	1982-1999 –> 2000-2009	26.4052599	12.7765931	59358.379890	161.439707	9	15
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	59857.666413	132.158437	10	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + oxygen + aou	4291	12.9699971	34179.896477	17.485899	60.0721209	1982-1999 –> 2000-2009	27.5662944	14.5962972	59763.865095	72.754804	8	23
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	70000.394291	273.519627	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5555	8.9809630	40164.047119	80.099547	117.5257581	2000-2009 –> 2010-2019	17.0136358	8.0326729	70234.123364	161.203613	2	4
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	75065.793337	221.483912	4	8
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ oxygen + aou + nitrate	5555	10.9354351	42349.620914	73.511918	129.7661877	2000-2009 –> 2010-2019	21.9298971	10.9944620	75111.366897	149.024366	5	10
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	75303.685559	252.334239	3	9
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	76258.564395	130.213486	6	9
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	77391.265678	129.518777	7	14
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ oxygen + aou + phosphate	5555	12.9844556	44257.701997	63.467042	48.5425741	2000-2009 –> 2010-2019	26.6131223	13.6286668	78862.721981	123.857396	8	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + oxygen + aou	5555	13.9265563	45035.897801	17.807323	62.2917157	2000-2009 –> 2010-2019	26.8965534	12.9699971	79215.794278	35.293222	9	17
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	80058.858936	128.199661	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	3503	8.2676665	24754.223645	542.484223	35.7051639	1982-1999 –> 2000-2009	16.0533470	7.7856805	49316.725021	1276.866309	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3503	9.6251333	25817.313718	493.415896	38.3666251	1982-1999 –> 2000-2009	18.6849141	9.0597808	51449.638363	1149.187658	2	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	3503	10.2950147	26288.691707	380.847926	44.7479165	1982-1999 –> 2000-2009	18.8401064	8.5450917	51507.390053	747.936005	3	5
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	53131.824465	998.561019	4	8
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	53390.846299	158.384883	6	11
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	53762.040741	89.308508	7	13
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	54011.393012	147.506701	8	15
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	54182.946381	55.149397	9	17
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	54725.391720	45.734879	10	19
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	55106.897579	44.710720	11	22
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	48297.469732	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	50529.958044	1490.652467	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	3222	11.4184375	24848.257998	275.598745	53.3932700	2000-2009 –> 2010-2019	21.7134522	10.2950147	51136.949705	656.446671	3	6
Indo-Pacific	(26,26.5]	3	cstar_tref ~ oxygen + aou + phosphate_star	3222	13.0810962	25722.247490	219.161567	62.1290234	2000-2009 –> 2010-2019	24.6153125	11.5342163	52805.228399	542.751448	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	53091.115142	134.825238	5	11
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	53129.699867	76.187390	6	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3222	13.9768413	26151.056883	210.698203	56.8723843	2000-2009 –> 2010-2019	25.7407551	11.7639138	53374.187349	491.241254	9	14
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	53595.599857	125.019005	7	15
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	53596.049050	42.413052	8	17
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	54117.839164	45.535186	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	45514.327415	265.313889	5	6
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	45617.944891	36.725979	6	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	3262	8.5726093	23286.439729	99.747927	37.0282406	1982-1999 –> 2000-2009	17.0974977	8.5248885	45638.855103	178.955955	2	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3262	8.2315651	23021.591501	792.356166	41.5046103	1982-1999 –> 2000-2009	17.1126040	8.8810389	45630.711109	1575.157760	1	19
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	45748.140343	30.081785	7	15
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + nitrate	3262	8.5818078	23291.436296	18.225605	35.8078521	1982-1999 –> 2000-2009	17.4657543	8.8839465	45900.608954	31.188218	4	23
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	45911.831757	34.024469	9	29
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	3262	9.1269092	23695.200590	611.128643	33.9675173	1982-1999 –> 2000-2009	17.4992407	8.3723316	45934.359137	1358.510967	17	19
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	45934.234419	256.784924	13	22
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	45928.950037	33.031152	8	29
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2648	11.2560036	20347.793578	515.870889	36.3365886	2000-2009 –> 2010-2019	19.4875687	8.2315651	43369.385079	1308.227055	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	2648	11.2731704	20355.864455	11.502593	35.3831770	2000-2009 –> 2010-2019	19.8457797	8.5726093	43642.304184	31.620988	2	4
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + nitrate	2648	11.2735504	20354.042985	10.029898	35.1807245	2000-2009 –> 2010-2019	19.8553582	8.5818078	43645.479281	28.255504	3	7
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	43652.775272	254.854024	4	9
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	43653.501998	34.200427	6	12
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	43651.964374	28.177395	8	15
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	43652.859085	29.306300	5	13
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	43655.152840	30.778269	7	16
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	43652.196509	2.631859	9	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + aou	2648	11.5247028	20470.732359	453.330772	35.8591338	2000-2009 –> 2010-2019	20.1039228	8.5792200	43760.201050	1149.620783	12	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4020	6.2088633	26101.127662	751.327632	25.4175657	1982-1999 –> 2000-2009	11.7339555	5.5250921	50719.851376	1447.819176	1	6
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	4020	6.2437363	26146.159073	15.892252	24.2773623	1982-1999 –> 2000-2009	11.7520404	5.5083041	50740.945534	26.720117	2	3
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	4020	6.2449905	26145.774017	12.410053	24.0856015	1982-1999 –> 2000-2009	11.7710192	5.5260287	50763.830995	22.823811	3	10
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	50781.911826	29.093711	4	7
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	50783.201761	131.315366	5	7
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	50801.587817	25.929276	6	12
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	50872.039641	25.255574	7	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	4020	6.3458195	26276.547667	856.087887	24.0256096	1982-1999 –> 2000-2009	11.9118003	5.5659807	50953.269588	1516.717908	8	16
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	50968.755717	18.670025	9	21
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	50975.454649	112.618266	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	52273.777854	102.012956	1	6
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	52295.868384	26.215099	2	6
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	52298.236617	26.465091	3	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + phosphate	3855	7.2032067	26175.613868	506.528752	27.3252727	2000-2009 –> 2010-2019	13.5490262	6.3458195	52452.161535	1362.616639	4	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3855	7.3510917	26332.300577	476.976382	22.8287796	2000-2009 –> 2010-2019	13.5599550	6.2088633	52433.428238	1228.304014	8	9
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	3855	7.3512914	26330.510018	7.481640	22.7194015	2000-2009 –> 2010-2019	13.5962819	6.2449905	52476.284035	19.891693	9	12
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	52529.090380	92.356673	5	15
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	52525.884985	22.718355	11	17
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	52591.149149	10.521017	6	19
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	52675.237799	13.536975	12	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	57054.866402	99.571012	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	5165	4.4636723	30123.023899	706.749243	16.8062238	1982-1999 –> 2000-2009	7.9923356	3.5286633	57078.312828	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	57119.560187	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	57145.276152	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	57315.336066	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	57423.440898	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	57684.214508	6.451269	7	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ oxygen + nitrate + phosphate	5165	4.6424195	30526.619672	28.227485	16.3652184	1982-1999 –> 2000-2009	8.2415540	3.5991345	57678.719097	38.560420	12	19
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + oxygen + phosphate_star	5165	4.5752780	30376.130032	2.452916	15.4280595	1982-1999 –> 2000-2009	8.2607156	3.6854375	57766.467578	6.572449	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	57860.068208	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	59215.287565	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	59232.912305	1225.328565	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	4817	4.9623706	29114.600104	10.688897	16.6061357	2000-2009 –> 2010-2019	9.4395278	4.4771573	59268.784333	29.714544	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	59296.536794	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	59458.025309	60.063321	3	9
Indo-Pacific	(27,27.25]	3	cstar_tref ~ oxygen + nitrate + phosphate	4817	4.9625684	29112.984078	15.993640	16.6419505	2000-2009 –> 2010-2019	9.6049879	4.6424195	59639.603750	44.221125	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	59670.315257	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	59691.273365	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	59769.866058	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	59776.784212	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	67762.336882	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	67992.651070	84.474839	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	6886	3.4907887	36770.380149	25.147233	15.9200660	1982-1999 –> 2000-2009	6.6204264	3.1296377	68360.761031	32.785420	3	6
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + phosphate	6886	3.4921175	36773.621752	33.338239	15.8595480	1982-1999 –> 2000-2009	6.6221465	3.1300290	68363.544873	57.569382	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	68388.365864	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	68400.957365	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	68403.289505	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	69000.924335	4.574900	8	16
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + phosphate_star	6886	3.8438514	38095.272954	797.910089	11.0615095	1982-1999 –> 2000-2009	7.0654492	3.2215978	70040.906756	1169.573954	13	22
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6886	3.7315113	37688.774732	983.322183	17.8543658	1982-1999 –> 2000-2009	7.2109515	3.4794402	70586.206339	1505.734443	9	19
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	69933.717176	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	70049.348067	87.228634	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	6263	3.5050210	33495.689453	25.212345	13.5959519	2000-2009 –> 2010-2019	6.9958097	3.4907887	70266.069602	63.840589	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	70294.410111	41.624664	4	9
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + phosphate	6263	3.5155062	33531.104772	22.527242	13.6341344	2000-2009 –> 2010-2019	7.0076237	3.4921175	70304.726524	55.865481	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	70347.537951	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	70442.740929	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	71221.791202	3.501215	9	17
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6263	3.5935902	33808.278832	604.575244	14.7964180	2000-2009 –> 2010-2019	7.3251015	3.7315113	71497.053564	1587.897427	8	17
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + aou	6263	3.6582663	34029.712547	274.287944	14.2604999	2000-2009 –> 2010-2019	7.3898052	3.7315389	71716.589190	650.130959	11	21
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	7603	1.8731673	31134.132206	994.303762	12.8337518	1982-1999 –> 2000-2009	3.9513481	2.0781808	61486.419088	1677.044665	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	7603	1.8939910	31300.242719	501.610770	12.7023005	1982-1999 –> 2000-2009	3.9889159	2.0949249	61763.743118	867.080627	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	62737.463901	1573.477723	3	5
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + phosphate	7603	2.0469690	32479.351712	413.709106	11.0711324	1982-1999 –> 2000-2009	4.1419097	2.0949407	62940.959048	655.359952	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	7603	2.1373734	33138.517805	825.812447	14.8275367	1982-1999 –> 2000-2009	4.7315425	2.5941691	66617.582958	1260.606335	5	10
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + aou	7603	2.1575587	33279.449020	277.674518	14.6972728	1982-1999 –> 2000-2009	4.7662386	2.6086799	66835.209225	515.161154	6	12
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + nitrate	7603	2.2306733	33786.206072	784.812211	13.2532771	1982-1999 –> 2000-2009	4.8446018	2.6139284	67370.322435	1057.104327	7	14
Indo-Pacific	(27.5,27.75]	2	cstar_tref ~ oxygen + aou	7603	2.2446490	33879.177683	205.534598	13.1859096	1982-1999 –> 2000-2009	4.8762101	2.6315611	67556.142534	297.109279	8	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	7603	2.6951174	36664.242655	65.998911	13.3033374	1982-1999 –> 2000-2009	5.5882250	2.8931076	71681.996510	89.918297	9	19
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + nitrate	7603	2.7070819	36729.597752	39.341571	11.2871690	1982-1999 –> 2000-2009	5.6313460	2.9242641	71896.471157	60.137701	10	22
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	64193.484621	845.772644	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	7518	2.1757597	33035.813462	989.175598	17.0578738	2000-2009 –> 2010-2019	4.2100848	2.0343252	65422.948785	1965.300844	2	4
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + phosphate_star	7518	2.1915556	33142.580299	403.532083	15.1472555	2000-2009 –> 2010-2019	4.2385246	2.0469690	65621.932011	869.245736	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	7518	2.4055277	34545.299191	655.818609	12.9091509	2000-2009 –> 2010-2019	4.5429012	2.1373734	67683.816996	1481.631056	4	8
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + aou	7518	2.4058921	34545.576191	207.201787	13.1902553	2000-2009 –> 2010-2019	4.5634508	2.1575587	67825.025211	484.876305	5	10
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + nitrate	7518	2.4247880	34663.208219	555.088629	13.3977283	2000-2009 –> 2010-2019	4.6554614	2.2306733	68449.414291	1339.900840	6	12
Indo-Pacific	(27.5,27.75]	2	cstar_tref ~ oxygen + aou	7518	2.4248563	34661.631687	130.715269	13.5180147	2000-2009 –> 2010-2019	4.6695053	2.2446490	68540.809370	336.249867	7	14
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	73009.348065	83.455903	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + nitrate	7518	2.7127352	36350.447673	26.281549	10.7822809	2000-2009 –> 2010-2019	5.4198171	2.7070819	73080.045425	65.623120	9	18
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	74616.151828	261.564751	13	23
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3643	1.0514060	10717.621324	912.663731	5.8695174	1982-1999 –> 2000-2009	2.3382921	1.2868860	21831.492056	1764.374590	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	3643	1.0531831	10727.925894	834.240372	5.6292083	1982-1999 –> 2000-2009	2.3404587	1.2872755	21841.806466	1377.199539	2	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3643	1.0674800	10826.166945	911.567047	7.4088611	1982-1999 –> 2000-2009	2.4042311	1.3367512	22190.545216	1763.170253	3	8
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + nitrate	3643	1.0678831	10826.917777	509.494257	7.2483128	1982-1999 –> 2000-2009	2.4060241	1.3381411	22196.198500	865.915062	4	10
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	22272.540415	1726.542070	5	8
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + phosphate_star	3643	1.1119499	11121.540748	456.082636	5.5338113	1982-1999 –> 2000-2009	2.4199103	1.3079605	22339.301916	714.323289	6	10
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	27080.228984	915.325400	7	14
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	28417.912687	1460.143802	11	19
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	28492.503582	186.198460	13	22
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + aou	3643	1.8091342	14667.879581	723.149842	13.7192185	1982-1999 –> 2000-2009	3.7400307	1.9308965	28472.801821	1464.299489	8	19
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3950	1.1982898	12652.687823	987.548622	14.2531130	2000-2009 –> 2010-2019	2.2496958	1.0514060	23370.309147	1900.212353	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	3950	1.1982946	12650.719727	941.200159	14.2493009	2000-2009 –> 2010-2019	2.2514778	1.0531831	23378.645621	1843.792223	2	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3950	1.1982959	12650.728361	926.743945	14.2131315	2000-2009 –> 2010-2019	2.2657759	1.0674800	23476.895306	1838.310992	3	6
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + nitrate	3950	1.1983026	12648.772016	534.247298	14.2027474	2000-2009 –> 2010-2019	2.2661856	1.0678831	23475.689792	1043.741554	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3950	1.2858624	13207.908382	880.931921	10.0401768	2000-2009 –> 2010-2019	2.3900040	1.1041416	24280.105167	1790.638073	5	10
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	24354.701294	847.360999	6	12
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	28974.258161	1157.118483	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + aou	3950	1.6865996	15349.058551	765.323912	17.4787239	2000-2009 –> 2010-2019	3.4957338	1.8091342	30016.938131	1488.473755	8	16
Indo-Pacific	(27.75,27.85]	2	cstar_tref ~ oxygen + aou	3950	1.7096809	15454.437672	208.301740	15.2545750	2000-2009 –> 2010-2019	3.5285057	1.8188248	30159.240290	454.161450	9	18
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	31439.099663	1813.950122	10	21
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	4823	0.9843016	13548.453364	768.834697	10.7274863	1982-1999 –> 2000-2009	2.1508242	1.1665226	26891.764608	1474.723560	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	4823	0.9896221	13598.453083	616.596637	10.8991432	1982-1999 –> 2000-2009	2.1561898	1.1665677	26940.091863	1020.922550	2	4
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	27431.624467	1642.967277	3	6
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + phosphate_star	4823	1.0070007	13764.374467	562.839162	11.6463107	1982-1999 –> 2000-2009	2.2447307	1.2377300	27605.786091	911.865574	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4823	1.3304520	16453.194982	679.910759	14.7458626	1982-1999 –> 2000-2009	3.0216151	1.6911631	32941.659660	1328.514489	5	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + nitrate	4823	1.3419764	16534.388516	495.073542	15.1617282	1982-1999 –> 2000-2009	3.1375306	1.7955543	33528.422526	899.399314	6	12
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	37180.377523	998.654347	8	15
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	37231.719300	114.602014	9	17
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	37773.999004	564.356891	7	16
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	38332.214378	113.175780	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	5595	0.8494697	14066.352183	789.010325	4.6261473	2000-2009 –> 2010-2019	1.8337713	0.9843016	27614.805547	1557.845022	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	5595	0.8495152	14064.951020	561.798177	4.5934733	2000-2009 –> 2010-2019	1.8391373	0.9896221	27663.404103	1178.394814	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	5595	0.8506659	14080.097834	784.726880	4.7475910	2000-2009 –> 2010-2019	1.8498012	0.9991353	27770.834718	1545.234951	3	6
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + phosphate_star	5595	0.8508242	14080.181066	540.571175	4.6930783	2000-2009 –> 2010-2019	1.8578249	1.0070007	27844.555533	1103.410337	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5595	1.1056343	17013.613324	755.013124	6.7644763	2000-2009 –> 2010-2019	2.4360864	1.3304520	33466.808307	1434.923882	5	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + nitrate	5595	1.1105606	17061.361014	546.998416	6.4151379	2000-2009 –> 2010-2019	2.4525370	1.3419764	33595.749530	1042.071958	6	12
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	42014.911593	636.361979	7	14
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	42878.980638	1096.478258	8	16
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	42883.923738	131.403952	9	18
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	43447.114857	126.956318	12	22
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	56564.575043	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	59143.179754	133.216916	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	8638	1.4737454	31225.336360	626.540032	6.6995994	1982-1999 –> 2000-2009	3.0157432	1.5419978	61273.354146	986.064559	7	10
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	62392.524640	685.773738	4	8
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	62797.284734	9.555990	6	13
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	62894.557663	10.346835	8	13
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + phosphate_star	8638	1.4953057	31474.246200	5.488866	6.5462608	1982-1999 –> 2000-2009	3.2443044	1.7489988	63563.158569	9.398166	9	17
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	8638	1.3399266	29578.796310	862.483415	8.3076996	1982-1999 –> 2000-2009	3.2838518	1.9439252	63381.395381	1644.292005	3	14
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	64248.568316	798.357304	12	18
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	64296.161610	118.042346	5	15
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	56902.729800	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	58085.144447	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	61093.409197	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	61142.240994	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	61798.089876	9.173894	6	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	9866	1.1396997	30590.747043	562.192108	5.1402448	2000-2009 –> 2010-2019	2.6134451	1.4737454	61816.083403	1072.636032	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	62314.085223	9.660333	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + phosphate	9866	1.1763290	31212.943901	53.129388	6.1228360	2000-2009 –> 2010-2019	2.6716347	1.4953057	62687.190101	101.318400	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + nitrate	9866	1.2136207	31828.772034	46.620494	7.0673983	2000-2009 –> 2010-2019	2.7605381	1.5469174	63889.254602	85.880217	9	18
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	65112.359151	715.873899	14	24
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	26125.963797	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	26439.849387	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	26545.763328	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	26830.225948	17.738269	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	5759	0.7410964	12904.258111	639.837615	7.7162911	1982-1999 –> 2000-2009	1.5866354	0.8455390	26844.143594	1023.964301	5	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + phosphate_star	5759	0.7493823	13030.321204	11.217011	7.8228285	1982-1999 –> 2000-2009	1.6023864	0.8530042	27066.058659	17.776327	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	27119.016950	19.689366	7	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + nitrate	5759	0.7842300	13553.850581	67.562933	6.9309114	1982-1999 –> 2000-2009	1.8554342	1.0712042	30125.171789	131.745304	8	16
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	31667.915566	162.365084	9	20
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	35242.919003	894.884753	12	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	23353.700101	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	23681.280022	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	24565.304994	160.877522	4	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	8070	0.5285180	12621.539098	592.394669	4.8446876	2000-2009 –> 2010-2019	1.2696144	0.7410964	25525.797210	1232.232284	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	25453.428398	140.877777	3	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + nitrate	8070	0.5301429	12669.082423	56.655162	4.9563199	2000-2009 –> 2010-2019	1.3143729	0.7842300	26222.933005	124.218095	6	14
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	26891.523188	16.561061	7	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + phosphate	8070	0.5896284	14385.506010	57.796561	4.3764760	2000-2009 –> 2010-2019	1.3390106	0.7493823	27415.827214	133.062629	8	14
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	28131.725834	18.278122	9	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	8070	0.8093269	19497.213531	691.691751	4.6978897	2000-2009 –> 2010-2019	1.8570882	1.0477613	36387.928712	1556.355126	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	38836.808584	1281.415561	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	8973	0.7710230	20809.644706	208.622002	12.7424749	1982-1999 –> 2000-2009	1.3789955	0.6079725	39434.008578	406.364882	2	5
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	39482.406346	219.410761	4	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	8973	0.7837164	21102.686713	630.480442	12.2795070	1982-1999 –> 2000-2009	1.4036863	0.6199699	40121.822130	861.354120	3	7
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	8973	0.7909164	21264.804126	32.314376	12.6105030	1982-1999 –> 2000-2009	1.4144675	0.6235511	40398.299762	61.813399	5	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	8973	0.8272555	22072.960460	249.923173	12.9236201	1982-1999 –> 2000-2009	1.4764943	0.6492388	42024.009006	502.356506	6	12
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	42661.885365	632.048002	7	14
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	43461.293002	12.582316	9	17
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	44024.945692	72.388084	11	20
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	44293.617129	68.322517	8	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	10751	0.5473775	17566.554023	317.859384	6.6105970	2000-2009 –> 2010-2019	1.3168257	0.7694482	38341.508822	803.851223	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	10751	0.5474130	17565.947436	382.527457	6.6193197	2000-2009 –> 2010-2019	1.3311294	0.7837164	38668.634149	1013.007900	2	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	10751	0.6035143	19663.815827	159.795638	7.4992283	2000-2009 –> 2010-2019	1.3745372	0.7710230	40473.460532	368.417640	3	5
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	10751	0.6104881	19908.856007	35.104857	7.4859775	2000-2009 –> 2010-2019	1.4014046	0.7909164	41173.660134	67.419233	4	9
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	44034.431927	226.637115	5	9
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	46592.309651	725.935052	6	13
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	46733.982161	71.422429	7	15
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + phosphate	10751	0.7770211	25097.324628	172.781849	7.3619209	2000-2009 –> 2010-2019	1.6042766	0.8272555	47170.285087	395.526360	8	14
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	47782.437361	12.097022	9	18
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	48134.477013	12.127204	10	20
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	1590	0.5031882	2342.228837	440.421661	3.5389399	1982-1999 –> 2000-2009	0.7770391	0.2738509	2827.039319	1331.023657	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	1590	0.5113386	2391.324543	405.312939	4.5928913	1982-1999 –> 2000-2009	0.8176347	0.3062961	3300.062792	1280.200299	2	5
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	1590	0.5300523	2505.625140	429.378136	4.1817807	1982-1999 –> 2000-2009	0.8190930	0.2890408	3193.789848	1269.743994	5	7
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ oxygen + nitrate + phosphate	1590	0.5322860	2516.997925	401.982683	4.7157146	1982-1999 –> 2000-2009	0.8484873	0.3162013	3544.805225	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	3652.754871	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	3737.682511	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	3815.774471	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	3886.928414	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	6003.889957	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	6017.009101	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	3570.356100	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	3636.863528	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	3753.300790	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	3753.181931	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	3741.459650	1361.049078	2	7
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ oxygen + nitrate + phosphate	1726	0.3476613	1261.046470	373.583566	1.3461600	2000-2009 –> 2010-2019	0.8799473	0.5322860	3778.044395	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	4418.615585	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	4844.681970	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	6333.712327	497.414356	9	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + oxygen + phosphate_star	1726	0.5258478	2689.425118	31.594611	5.9037183	2000-2009 –> 2010-2019	1.2896476	0.7637998	6354.800156	45.080625	10	21
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + oxygen + nitrate	146	0.0124586	-856.191474	507.720337	0.0515844	1982-1999 –> 2000-2009	0.7621006	0.7496420	-296.632860	807.552462	5	7
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	-336.302984	219.430114	3	7
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	93.811933	827.856687	9	10
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ oxygen + nitrate	146	0.0136536	-831.446159	192.705338	0.0612490	1982-1999 –> 2000-2009	0.8091873	0.7955338	-245.010632	342.622206	6	12
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	126.699043	395.661016	10	13
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	-413.068040	200.443256	1	8
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	-248.062563	96.822120	4	15
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	-16.091870	647.338714	7	15
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	366.443114	40.912122	14	19
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	294.169664	32.966726	11	20
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	-1144.228609	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	-1057.299568	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	-409.532374	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	-282.852448	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	-29.330278	169.273587	5	10
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + oxygen	32	0.0895647	-55.606715	103.885415	0.2542830	2000-2009 –> 2010-2019	0.3693490	0.2797842	-5.207763	178.818079	6	12
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	136.196332	182.155532	7	14

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	11.3068287	4077.20370
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	11.2370128	3580.83303
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	9.9541982	13780.23155
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	10.2334262	12642.10540
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	7.4916408	12992.84766
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.2825203	11091.62182
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	6.6305981	19356.02530
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	6.6690015	15923.24307
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	5.5513826	24189.07842
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	6.2625665	19271.03058
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.9809654	33431.00244
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	6.8627479	28588.09611
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	6.5754348	48141.18641
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	7.7053926	40983.69521
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	6.3791563	29345.80859
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	7.1475523	26238.20540
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	7.7305595	96469.64363
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	9.5423804	83722.15650
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	5.1321364	71557.02809
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	5.7713371	53736.72269
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	3.5408728	26877.07159
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	3.9633636	22441.02985
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.4726767	23135.62168
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.6387404	19056.91932
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	0.9458790	5198.89104
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.1053021	5513.33178
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	0.8168215	5442.43778
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	0.8324500	5285.15182
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	23.3662101	57186.37051
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	22.9116762	75750.25687
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	21.1498978	53058.50936
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	24.0161933	52367.40963
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	17.2913796	45775.99632
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	19.8482868	43633.58197
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	11.8252150	50836.08489
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	13.5646099	52455.11190
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.1279230	57412.62619
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	9.5497555	59501.93889
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.7197103	68729.99440
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.0895182	70607.39843
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	4.6632850	66088.63100
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	4.7457272	68844.29766
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	2.8889260	24513.53316
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	2.7936795	26292.58826
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.0365166	32585.76594
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	2.7393116	34918.10886
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.1118520	62055.47599
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	2.5922720	61484.05868
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	1.7207771	28400.70280
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	1.3366922	26762.94487
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	1.4560099	41473.90956
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	1.4970014	43910.51868
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	0.9146876	3997.97365
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	0.9738164	4418.50164
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	0.8325001	-67.40452
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	0.2301044	-398.89353

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
3300527	Donghe-Zhu	2021-07-31
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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
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	oxygen	phosphate	phosphate_star	sal
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	9	10	3	5	4	6
(26,26.5]	8	10	4	4	4	5
(26.5,26.75]	7	6	5	3	4	7
(26.75,27]	7	7	4	3	4	8
(27,27.25]	7	10	5	4	3	8
(27.25,27.5]	6	7	6	2	6	10
(27.5,27.75]	6	9	4	3	5	10
(27.75,27.85]	6	10	2	7	5	6
(27.85,27.95]	6	10	3	4	7	7
(27.95,28.05]	5	10	3	4	6	5
(28.05,28.1]	7	10	4	6	4	6
(28.1,28.15]	7	10	5	3	4	8
(28.15,28.2]	6	9	4	2	6	7
(28.2, Inf]	10	6	4	2	8	5
total	97.00	124.00	56.00	52.00	70.00	98.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	9	10	5	5	2	6
(26,26.5]	8	10	5	3	4	5
(26.5,26.75]	7	7	3	4	4	7
(26.75,27]	6	7	3	3	5	8
(27,27.25]	7	10	5	4	3	8
(27.25,27.5]	6	8	5	4	4	10
(27.5,27.75]	6	10	3	4	5	9
(27.75,27.85]	6	10	4	5	5	6
(27.85,27.95]	6	10	2	6	6	6
(27.95,28.05]	5	10	3	6	5	6
(28.05,28.1]	7	10	4	4	6	6
(28.1,28.15]	7	10	5	1	6	8
(28.15,28.2]	6	8	5	3	4	8
(28.2, Inf]	10	6	5	2	7	5
total	96.00	126.00	57.00	54.00	66.00	98.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	10	7	7	4	3	6
(26,26.5]	10	6	3	6	5	5
(26.5,26.75]	6	9	4	5	2	9
(26.75,27]	6	7	4	4	4	10
(27,27.25]	6	8	3	4	7	6
(27.25,27.5]	6	5	4	3	6	9
(27.5,27.75]	8	6	9	3	3	6
(27.75,27.85]	10	6	6	5	3	7
(27.85,27.95]	10	7	5	5	3	7
(27.95,28.05]	7	7	3	4	4	8
(28.05,28.1]	6	7	3	3	5	9
(28.1,28.2]	8	7	4	3	5	10
(28.2,28.3]	5	8	4	10	2	6
(28.3, Inf]	3	7	2	3	3	7
total	101.00	97.00	61.00	62.00	55.00	105.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	10	7	4	5	5	6
(26,26.5]	10	6	3	6	5	6
(26.5,26.75]	5	9	4	2	3	10
(26.75,27]	7	6	3	5	4	10
(27,27.25]	6	8	2	5	7	6
(27.25,27.5]	6	5	4	4	4	10
(27.5,27.75]	8	6	7	4	3	6
(27.75,27.85]	10	6	7	3	4	6
(27.85,27.95]	10	7	6	4	3	7
(27.95,28.05]	6	7	3	3	5	9
(28.05,28.1]	6	7	4	3	4	9
(28.1,28.2]	7	7	5	4	4	10
(28.2,28.3]	5	8	2	9	5	6
(28.3, Inf]	1	2	1	2	3	5
total	97.00	91.00	55.00	59.00	59.00	106.00

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
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
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