eMLR - model fitting

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Last updated: 2021-08-01

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: 437235e

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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	b110c47	Donghe-Zhu	2021-08-01	Build site.
html	3611a48	Donghe-Zhu	2021-08-01	Build site.
html	af832ef	Donghe-Zhu	2021-07-31	Build site.
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html	422d5fd	Donghe-Zhu	2021-07-29	Build site.
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html	ec68363	Donghe-Zhu	2021-07-28	Build site.
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html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
html	caf62d8	Donghe-Zhu	2021-06-25	Build site.
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html	65c89c8	Donghe-Zhu	2021-06-06	Build site.
html	9baa3b2	Donghe-Zhu	2021-06-06	debug
html	b7d99cf	Donghe-Zhu	2021-06-06	Build site.
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html	e377833	Donghe-Zhu	2021-05-26	Build site.
Rmd	896faa0	Donghe-Zhu	2021-05-18	final
html	2705a04	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, temp, aou, nitrate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 26

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	174	3.2084126	913.48076	50.859699	10.3578883	1982-1999 –> 2000-2009	8.5261319	5.3177193	2398.31269	113.350201	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	174	3.2198748	912.72179	49.089958	11.1195461	1982-1999 –> 2000-2009	8.9704536	5.7505788	2432.80357	105.436980	2	4
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	174	4.8133055	1052.63227	41.777300	17.8873525	1982-1999 –> 2000-2009	10.6352060	5.8219004	2578.58134	103.437784	3	8
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	174	4.8471802	1055.07281	42.245837	11.0655913	1982-1999 –> 2000-2009	10.6382863	5.7911061	2578.49745	101.303223	4	7
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	174	5.0372146	1066.45555	37.569326	14.5184018	1982-1999 –> 2000-2009	10.8537063	5.8164917	2589.96220	93.425106	5	9
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	174	5.4433787	1093.44179	37.777452	16.5910944	1982-1999 –> 2000-2009	11.3648067	5.9214280	2625.45949	94.651981	6	12
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	174	6.2452322	1141.26338	39.230499	16.8044016	1982-1999 –> 2000-2009	12.3863050	6.1410728	2690.61787	94.791651	7	14
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	174	6.4607972	1155.07256	26.132793	21.4725687	1982-1999 –> 2000-2009	13.3596631	6.8988659	2761.81325	45.608755	8	17
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + nitrate + phosphate_star	174	6.4643225	1153.26239	10.017707	21.3901844	1982-1999 –> 2000-2009	13.4559690	6.9916465	2764.36198	21.668733	9	19
Atlantic	(-Inf,26]	2	cstar_tref ~ aou + nitrate	174	7.1972973	1188.64015	36.955680	17.2533980	1982-1999 –> 2000-2009	13.8674112	6.6701138	2775.33007	92.205274	14	22
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	267	4.6221396	1589.19120	39.464908	14.8561287	2000-2009 –> 2010-2019	7.8305522	3.2084126	2502.67195	90.324607	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	267	4.8494638	1612.82877	38.738337	11.6217723	2000-2009 –> 2010-2019	8.0693386	3.2198748	2525.55056	87.828295	2	4
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	267	4.9204978	1620.59396	37.517669	17.8785181	2000-2009 –> 2010-2019	9.7338034	4.8133055	2673.22623	79.294969	3	6
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	267	5.1474425	1644.67217	33.121482	13.7477910	2000-2009 –> 2010-2019	9.9946226	4.8471802	2699.74498	75.367319	4	8
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	267	5.1477122	1642.70015	32.322239	13.8255334	2000-2009 –> 2010-2019	10.1849268	5.0372146	2709.15570	69.891565	5	10
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	267	5.3036367	1658.63491	32.457490	15.9514201	2000-2009 –> 2010-2019	10.7470154	5.4433787	2752.07670	70.234942	6	12
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	267	5.7410740	1700.95630	33.671658	15.5278519	2000-2009 –> 2010-2019	11.9863061	6.2452322	2842.21968	72.902158	7	14
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	267	6.7129231	1786.46760	18.993302	16.2727573	2000-2009 –> 2010-2019	13.1737203	6.4607972	2941.54015	45.126094	9	17
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + nitrate + phosphate_star	267	6.7372444	1786.39881	7.974481	16.4219342	2000-2009 –> 2010-2019	13.2015669	6.4643225	2939.66120	17.992187	10	19
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + nitrate + phosphate_star	267	6.7384905	1786.49756	12.100387	16.4742721	2000-2009 –> 2010-2019	13.5201116	6.7816212	2956.43541	35.608024	11	21
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	578	3.2306824	3009.92650	554.753702	13.2415059	1982-1999 –> 2000-2009	7.1477761	3.9170937	6877.38179	880.834772	1	2
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	578	3.2924053	3029.80380	540.520891	11.9333588	1982-1999 –> 2000-2009	7.7448375	4.4524322	7072.55025	865.866140	2	4
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	578	3.8503632	3210.77457	135.559345	18.2281348	1982-1999 –> 2000-2009	8.3358697	4.4855065	7263.76385	257.913367	5	8
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	578	3.5234821	3108.21683	281.599349	12.3056294	1982-1999 –> 2000-2009	8.3579509	4.8344688	7264.89518	439.352873	3	7
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	578	3.5243471	3106.50061	88.973001	12.5741322	1982-1999 –> 2000-2009	8.4333043	4.9089572	7282.34070	208.355031	4	10
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	578	3.8898886	3220.58083	63.419891	17.5947097	1982-1999 –> 2000-2009	8.7667878	4.8768992	7387.35305	153.701512	6	11
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	578	4.4066477	3364.77301	54.638070	15.6094136	1982-1999 –> 2000-2009	9.9467277	5.5400800	7708.00432	126.460994	7	14
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	578	5.1947853	3556.98246	48.122721	21.4948138	1982-1999 –> 2000-2009	11.2156059	6.0208206	8017.38281	87.916092	8	16
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	578	5.5783246	3637.32802	21.339670	25.4283386	1982-1999 –> 2000-2009	11.6340690	6.0557444	8103.73308	61.043982	10	19
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate_star	578	5.3556927	3590.24596	8.213394	21.6036502	1982-1999 –> 2000-2009	11.6696954	6.3140027	8114.45033	27.935331	9	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	800	5.3323707	4962.37512	158.755560	46.1147557	2000-2009 –> 2010-2019	8.5630531	3.2306824	7972.30162	713.509262	1	2
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	800	5.7837930	5090.39716	149.980655	51.2439628	2000-2009 –> 2010-2019	9.0761983	3.2924053	8120.20096	690.501547	5	7
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	800	5.6442466	5051.32041	114.175275	35.5997061	2000-2009 –> 2010-2019	9.1677287	3.5234821	8159.53725	395.774625	3	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	800	5.3422421	4963.33435	81.092763	43.7204321	2000-2009 –> 2010-2019	9.1926054	3.8503632	8174.10892	216.652107	2	7
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	800	5.8927812	5118.26659	81.617200	43.4041066	2000-2009 –> 2010-2019	9.4171284	3.5243471	8224.76719	170.590202	6	10
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	800	5.6592806	5053.57651	68.227714	37.9223442	2000-2009 –> 2010-2019	9.5491692	3.8898886	8274.15734	131.647605	4	10
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	800	6.3926526	5248.54053	59.118782	28.9998021	2000-2009 –> 2010-2019	10.7993003	4.4066477	8613.31354	113.756852	7	14
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	800	6.6610624	5316.34803	49.766716	21.1244854	2000-2009 –> 2010-2019	11.8558476	5.1947853	8873.33049	97.889438	8	16
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	800	6.6683969	5316.10883	49.751008	21.1638039	2000-2009 –> 2010-2019	12.2467215	5.5783246	8953.43686	71.090678	9	19
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	800	7.1102667	5420.76525	82.735456	21.0065585	2000-2009 –> 2010-2019	12.6981621	5.5878954	9062.07494	132.061498	10	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	603	2.9452631	3027.95885	788.866403	24.5368338	1982-1999 –> 2000-2009	6.2169956	3.2717325	6781.67362	1292.933603	1	2
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	603	2.9469123	3026.63396	754.280683	24.8844636	1982-1999 –> 2000-2009	6.2744033	3.3274910	6802.61556	1248.563752	2	5
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	603	2.9830216	3041.32157	185.866702	20.0743254	1982-1999 –> 2000-2009	6.3586517	3.3756302	6837.92909	313.608992	3	8
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	603	3.0860362	3082.26619	503.491127	29.2715191	1982-1999 –> 2000-2009	6.3629439	3.2769077	6836.25062	875.621213	5	7
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	603	3.1564227	3107.46369	218.132567	34.0176951	1982-1999 –> 2000-2009	6.4956794	3.3392568	6886.51392	393.215201	6	10
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	603	3.0097403	3050.07557	122.990364	19.4477555	1982-1999 –> 2000-2009	6.5725250	3.5627847	6922.17026	202.530818	4	11
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	603	3.2433295	3140.21997	143.773797	21.3194048	1982-1999 –> 2000-2009	6.6201573	3.3768278	6935.33689	241.271339	7	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	603	3.7740848	3324.99831	46.871933	13.6979569	1982-1999 –> 2000-2009	8.0208425	4.2467577	7451.27378	88.751924	8	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	603	3.8224501	3338.35513	19.277718	15.9408150	1982-1999 –> 2000-2009	8.1838722	4.3614221	7500.88906	30.772501	9	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	603	4.0407559	3407.33659	62.836400	16.3278278	1982-1999 –> 2000-2009	8.5833356	4.5425797	7630.31124	105.499523	10	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	669	3.6267839	3636.34706	435.779971	30.8786496	2000-2009 –> 2010-2019	6.5720470	2.9452631	6664.30591	1224.646374	1	2
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	669	3.6269712	3634.41618	409.971260	30.6908511	2000-2009 –> 2010-2019	6.5738835	2.9469123	6661.05014	1164.251943	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	669	3.6712814	3650.66331	137.209245	24.4551405	2000-2009 –> 2010-2019	6.6543030	2.9830216	6691.98488	323.075947	3	6
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	669	3.6912905	3655.93581	92.665279	23.6399929	2000-2009 –> 2010-2019	6.7010308	3.0097403	6706.01138	215.655643	4	8
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	669	3.7560455	3681.20439	333.749731	35.2814253	2000-2009 –> 2010-2019	6.8420818	3.0860362	6763.47057	837.240858	5	10
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	669	3.8039480	3696.16059	170.680244	40.7501025	2000-2009 –> 2010-2019	6.9603707	3.1564227	6803.62428	388.812811	6	12
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	669	3.8664891	3717.97991	112.258231	25.7511812	2000-2009 –> 2010-2019	7.1098186	3.2433295	6858.19987	256.032028	7	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	669	4.5796868	3946.48150	65.795044	20.1369052	2000-2009 –> 2010-2019	8.3537715	3.7740848	7271.47982	112.666977	8	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	669	4.6275184	3958.38352	22.250389	20.5250691	2000-2009 –> 2010-2019	8.4499685	3.8224501	7296.73865	41.528107	9	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	669	4.8158056	4013.74644	83.979093	21.5866476	2000-2009 –> 2010-2019	8.8565615	4.0407559	7421.08303	146.815494	10	20
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	897	2.8617125	4443.82364	709.344414	16.4734948	1982-1999 –> 2000-2009	5.7577970	2.8960845	9802.69392	1259.298700	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	897	2.8757718	4452.61577	74.809277	15.9158906	1982-1999 –> 2000-2009	5.7908237	2.9150519	9825.54729	168.259873	2	4
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	897	2.8778790	4451.92981	63.665789	16.0706558	1982-1999 –> 2000-2009	5.8652813	2.9874023	9875.67008	146.104208	3	6
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	897	3.1976155	4640.93100	218.486284	17.9147531	1982-1999 –> 2000-2009	6.2623215	3.0647060	10119.70043	500.979550	4	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	897	3.2712018	4683.74815	29.305272	15.4032533	1982-1999 –> 2000-2009	6.6843263	3.4131246	10396.45284	53.706476	5	11
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	897	3.3021664	4700.64999	36.430160	15.3399320	1982-1999 –> 2000-2009	6.8206543	3.5184879	10478.84307	73.135766	6	13
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	897	3.6876583	4896.73076	74.544215	18.1555887	1982-1999 –> 2000-2009	6.9086474	3.2209891	10482.63335	167.238218	11	16
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	897	3.4481826	4776.27379	14.282032	13.8868768	1982-1999 –> 2000-2009	7.2200496	3.7718670	10702.25339	30.487452	8	16
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate_star	897	3.4651058	4785.05696	21.138367	13.9309806	1982-1999 –> 2000-2009	7.3214926	3.8563869	10758.77048	43.379271	9	18
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + phosphate_star	897	3.4079313	4755.20890	20.870559	15.0591243	1982-1999 –> 2000-2009	7.4509084	4.0429771	10830.70028	38.520236	7	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	988	3.1072218	5056.07109	571.672206	18.6143578	2000-2009 –> 2010-2019	5.9689344	2.8617125	9499.89473	1281.016620	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	988	3.1161404	5061.73460	82.539381	18.2909254	2000-2009 –> 2010-2019	5.9919122	2.8757718	9514.35037	157.348658	2	4
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	988	3.1265342	5066.31455	62.175306	18.4464495	2000-2009 –> 2010-2019	6.0044132	2.8778790	9518.24436	125.841095	3	6
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	988	3.5815416	5334.79015	228.210342	18.8482400	2000-2009 –> 2010-2019	6.7791572	3.1976155	9975.72115	446.696626	4	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	988	3.6393519	5368.43042	35.519874	17.6931704	2000-2009 –> 2010-2019	6.9105536	3.2712018	10052.17857	64.825146	6	11
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	988	3.6246241	5360.41772	40.849262	17.6388005	2000-2009 –> 2010-2019	6.9267905	3.3021664	10061.06771	77.279422	5	11
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + phosphate_star	988	3.6482596	5371.26101	22.282014	17.7947555	2000-2009 –> 2010-2019	7.0561909	3.4079313	10126.46991	43.152573	7	14
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate_star	988	3.6763587	5386.42195	19.052035	17.1690044	2000-2009 –> 2010-2019	7.1414645	3.4651058	10171.47891	40.190402	8	17
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	988	3.7198918	5409.68305	13.722987	17.0881421	2000-2009 –> 2010-2019	7.1680744	3.4481826	10185.95684	28.005020	9	17
Atlantic	(26.75,27]	2	cstar_tref ~ sal + phosphate_star	988	3.8307960	5465.73401	6.258821	16.9944911	2000-2009 –> 2010-2019	7.3068283	3.4760323	10254.43911	12.063621	10	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1047	2.5653052	4957.96752	389.002955	17.2479175	1982-1999 –> 2000-2009	4.7849974	2.2196922	13012.72951	957.010974	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1047	2.5725017	4961.83357	30.346384	18.0711615	1982-1999 –> 2000-2009	4.8278135	2.2553118	13072.35234	106.996779	2	4
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1047	2.5964463	4981.23422	150.992547	19.2513760	1982-1999 –> 2000-2009	4.8537026	2.2572562	13094.87951	456.621144	3	6
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1047	2.6106318	4990.64350	29.301951	19.2180643	1982-1999 –> 2000-2009	4.8708319	2.2602001	13107.01719	97.554051	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1047	2.7855831	5128.47074	29.629848	18.2266928	1982-1999 –> 2000-2009	5.6352500	2.8496669	14087.62901	78.423582	5	10
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1047	2.9369336	5239.26180	25.989416	18.5376183	1982-1999 –> 2000-2009	5.9055928	2.9686592	14346.83530	70.144644	7	13
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	1047	2.8693546	5188.51577	20.345862	13.5682094	1982-1999 –> 2000-2009	5.9067442	3.0373896	14377.12716	47.365031	6	13
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	1047	3.1547170	5387.05135	18.077405	11.7409681	1982-1999 –> 2000-2009	6.3826083	3.2278913	14796.35627	43.465667	8	18
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1047	3.3194280	5495.62277	381.117095	9.9039309	1982-1999 –> 2000-2009	6.4112988	3.0918707	14750.73224	943.281687	9	17
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	1047	3.3194341	5493.62660	116.167835	9.8918871	1982-1999 –> 2000-2009	6.4144908	3.0950567	14750.47257	401.627019	10	19
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1273	2.9676944	6396.11905	379.251162	12.3120583	2000-2009 –> 2010-2019	5.5329997	2.5653052	11354.08657	768.254117	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1273	3.4041664	6743.46776	234.304211	15.0299162	2000-2009 –> 2010-2019	6.0006127	2.5964463	11724.70198	385.296758	2	5
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1273	3.4458602	6774.46138	43.948329	19.4724818	2000-2009 –> 2010-2019	6.0183618	2.5725017	11736.29495	74.294714	3	5
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1273	3.4892905	6804.34967	38.575169	19.3388653	2000-2009 –> 2010-2019	6.0999223	2.6106318	11794.99317	67.877119	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1273	4.1846570	7269.02488	30.855894	25.9587930	2000-2009 –> 2010-2019	6.9702401	2.7855831	12397.49562	60.485742	7	12
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1273	3.6870799	6946.72687	350.290669	14.3878419	2000-2009 –> 2010-2019	7.0065079	3.3194280	12442.34964	731.407765	5	14
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	1273	4.1873256	7268.64797	18.870759	25.6552256	2000-2009 –> 2010-2019	7.0566802	2.8693546	12457.16374	39.216620	8	14
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	1273	3.9248745	7103.85084	180.542729	11.1719736	2000-2009 –> 2010-2019	7.2443086	3.3194341	12597.47744	296.710564	6	16
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1273	4.4828718	7444.28934	28.308282	29.3392685	2000-2009 –> 2010-2019	7.4198055	2.9369336	12683.55113	54.297699	9	16
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	1273	4.5130403	7459.36580	18.066404	28.3884022	2000-2009 –> 2010-2019	7.6677573	3.1547170	12846.41714	36.143809	10	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1573	2.6783994	7577.48073	187.257384	10.4045081	1982-1999 –> 2000-2009	4.9069063	2.2285070	16370.42980	527.184335	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1573	2.7901155	7704.03774	126.629932	11.3319194	1982-1999 –> 2000-2009	5.0641752	2.2740597	16574.99527	421.133552	4	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1573	2.7768948	7689.09527	25.544616	11.2936893	1982-1999 –> 2000-2009	5.1455659	2.3686711	16721.22739	86.817567	3	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1573	2.7106153	7613.09529	24.089689	10.8047477	1982-1999 –> 2000-2009	5.3172617	2.6066463	17023.76511	95.160594	2	9
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	1573	2.8151602	7730.15091	16.640861	11.5566166	1982-1999 –> 2000-2009	5.3211390	2.5059788	16983.09221	62.130381	5	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	1573	3.0705804	8005.37295	25.034879	11.4403237	1982-1999 –> 2000-2009	5.3936303	2.3230499	16960.60716	135.001357	9	12
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	1573	3.0813101	8014.34702	21.762289	11.1907478	1982-1999 –> 2000-2009	5.4046934	2.3233833	16968.14858	115.982318	10	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	1573	2.9802746	7909.46126	12.339911	10.6474220	1982-1999 –> 2000-2009	5.7785073	2.7982327	17598.56293	54.786385	8	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1573	2.9527845	7882.30777	161.767956	12.8471893	1982-1999 –> 2000-2009	5.9420606	2.9892761	17834.54436	404.696339	6	15
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	1573	2.9531292	7880.67505	13.048704	12.8254442	1982-1999 –> 2000-2009	5.9617399	3.0086107	17856.40367	55.204467	7	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1698	3.9923982	9534.11080	184.492420	52.7615185	2000-2009 –> 2010-2019	6.6707975	2.6783994	17111.59153	371.749803	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1698	4.0535097	9583.69946	106.428886	54.0379785	2000-2009 –> 2010-2019	6.8436252	2.7901155	17287.73720	233.058817	3	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1698	4.1083068	9629.30052	38.162388	41.7384870	2000-2009 –> 2010-2019	6.8852016	2.7768948	17318.39580	63.707003	5	8
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	1698	4.1163517	9633.94411	25.480205	43.9330740	2000-2009 –> 2010-2019	6.9315119	2.8151602	17364.09503	42.121066	6	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	1698	4.0041571	9542.09849	31.440482	51.6585045	2000-2009 –> 2010-2019	7.0747376	3.0705804	17547.47145	56.475361	2	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	1698	4.0609700	9587.94391	28.489271	55.6903495	2000-2009 –> 2010-2019	7.1422801	3.0813101	17602.29093	50.251559	4	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1698	4.5340098	9964.13165	40.513489	26.5282998	2000-2009 –> 2010-2019	7.2446251	2.7106153	17577.22694	64.603178	16	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1698	4.4307066	9885.86188	184.484086	30.5444535	2000-2009 –> 2010-2019	7.3834911	2.9527845	17768.16965	346.252042	8	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	1698	4.5562279	9978.73249	25.807787	22.3558221	2000-2009 –> 2010-2019	7.5365025	2.9802746	17888.19375	38.147697	17	25
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	1698	4.4667610	9911.38465	30.453982	25.3972789	2000-2009 –> 2010-2019	7.6857984	3.2190374	18063.29839	50.451977	11	22
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2071	3.2155161	10729.04923	219.684143	29.0928801	1982-1999 –> 2000-2009	5.5758226	2.3603065	22364.02776	487.302985	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2071	3.2160523	10727.73978	189.779275	29.0328047	1982-1999 –> 2000-2009	5.5787176	2.3626653	22365.81449	437.404883	2	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2071	3.2310324	10746.98808	35.285766	26.8053827	1982-1999 –> 2000-2009	5.5925207	2.3614883	22382.52057	70.232262	5	7
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	2071	3.2337486	10748.46862	30.483762	26.3535124	1982-1999 –> 2000-2009	5.6001391	2.3663905	22392.58135	60.209792	7	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2071	3.2291362	10744.55652	23.685735	26.2660255	1982-1999 –> 2000-2009	5.6573381	2.4282020	22522.22560	52.680353	3	8
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	2071	3.2293900	10742.88216	15.901720	26.1760192	1982-1999 –> 2000-2009	5.6685578	2.4391678	22541.54014	31.094944	4	10
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + temp + nitrate	2071	3.2312554	10745.27393	17.143515	26.5516276	1982-1999 –> 2000-2009	5.8868822	2.6556268	22977.72331	42.975627	6	13
Atlantic	(27.5,27.75]	2	cstar_tref ~ sal + nitrate	2071	3.2337682	10746.49381	2.451746	26.4194047	1982-1999 –> 2000-2009	5.9343640	2.7005958	23062.61439	7.138571	8	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2071	3.4867663	11062.49681	161.185185	23.6237909	1982-1999 –> 2000-2009	6.2846541	2.7978877	23563.18920	373.473911	9	18
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	2071	3.5180868	11097.53694	22.192747	24.4338616	1982-1999 –> 2000-2009	6.3161682	2.7980814	23596.58238	45.152434	11	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2544	4.1833494	14515.05819	131.701304	34.5475953	2000-2009 –> 2010-2019	7.3988655	3.2155161	25244.10742	351.385447	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2544	4.1861838	14516.50438	21.433432	33.0363325	2000-2009 –> 2010-2019	7.4153199	3.2291362	25261.06090	45.119168	2	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2544	4.2975412	14650.08228	19.013841	28.0738573	2000-2009 –> 2010-2019	7.5285736	3.2310324	25397.07037	54.299607	3	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2544	4.3389499	14698.87269	117.884231	32.5502504	2000-2009 –> 2010-2019	7.5550022	3.2160523	25426.61246	307.663505	6	8
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	2544	4.3405756	14698.77867	12.379054	33.6994832	2000-2009 –> 2010-2019	7.5699656	3.2293900	25441.66084	28.280774	7	11
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	2544	4.3659876	14728.47967	16.269303	29.3659493	2000-2009 –> 2010-2019	7.5997362	3.2337486	25476.94828	46.753065	10	17
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + temp + nitrate	2544	4.5636984	14953.82172	16.815806	41.2198870	2000-2009 –> 2010-2019	7.7949538	3.2312554	25699.09566	33.959321	13	19
Atlantic	(27.5,27.75]	2	cstar_tref ~ sal + nitrate	2544	4.5638307	14951.96918	2.706120	41.1229691	2000-2009 –> 2010-2019	7.7975989	3.2337682	25698.46299	5.157866	14	22
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2544	4.3218617	14678.79494	129.048844	27.0162716	2000-2009 –> 2010-2019	7.8086280	3.4867663	25741.29175	290.234029	4	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	2544	4.3223238	14677.33887	19.786197	26.4308882	2000-2009 –> 2010-2019	7.8404106	3.5180868	25774.87582	41.978944	5	16
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1299	3.6689999	7077.59215	90.894607	26.9816746	1982-1999 –> 2000-2009	5.9302503	2.2612505	13152.52298	210.845722	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1299	3.7565015	7136.82430	90.469652	34.6038234	1982-1999 –> 2000-2009	6.0622734	2.3057719	13262.63247	207.645951	2	5
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1299	3.8318765	7188.43765	90.769601	33.7094407	1982-1999 –> 2000-2009	6.1086359	2.2767594	13279.90539	206.626016	4	6
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	1299	3.8357589	7189.06859	88.079644	32.3652601	1982-1999 –> 2000-2009	6.1452265	2.3094676	13317.22006	178.104485	5	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1299	3.7676060	7144.49286	31.402052	30.4072770	1982-1999 –> 2000-2009	6.1969913	2.4293853	13411.92911	66.521972	3	8
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	1299	3.8410071	7192.62077	16.731391	37.2794694	1982-1999 –> 2000-2009	6.2943563	2.4533492	13484.67767	36.668420	6	12
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate_star	1299	3.9547850	7268.46069	12.680445	38.2760470	1982-1999 –> 2000-2009	6.4400568	2.4852718	13595.57808	27.118944	7	14
Atlantic	(27.75,27.85]	2	cstar_tref ~ nitrate + phosphate_star	1299	3.9813981	7283.88491	2.624683	35.1660322	1982-1999 –> 2000-2009	6.4736736	2.4922756	13616.63423	6.804360	8	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	1299	4.5059752	7609.44280	34.485180	25.1473574	1982-1999 –> 2000-2009	7.4687114	2.9627362	14415.14318	95.140867	9	18
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	1299	4.5214285	7616.33739	27.682252	27.5977466	1982-1999 –> 2000-2009	7.4936899	2.9722615	14428.74295	71.066378	10	21
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1658	3.1729457	8548.05409	104.105069	18.0537930	2000-2009 –> 2010-2019	6.8419456	3.6689999	15625.64624	194.999676	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1658	3.3766772	8752.41453	101.697113	18.8714605	2000-2009 –> 2010-2019	7.1331787	3.7565015	15889.23883	192.166764	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1658	3.4369121	8811.04560	103.035989	18.6022892	2000-2009 –> 2010-2019	7.2687886	3.8318765	15999.48326	193.805590	3	7
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	1658	3.4382314	8810.31831	100.936835	18.9353994	2000-2009 –> 2010-2019	7.2739904	3.8357589	15999.38690	189.016479	4	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1658	3.6592179	9018.87928	38.817827	12.5669434	2000-2009 –> 2010-2019	7.4268238	3.7676060	16163.37214	70.219880	5	8
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	1658	3.7864932	9130.25628	11.456300	18.0159646	2000-2009 –> 2010-2019	7.6275003	3.8410071	16322.87705	28.187690	6	12
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate_star	1658	3.8704941	9203.01550	7.028627	13.2166555	2000-2009 –> 2010-2019	7.8252792	3.9547850	16471.47619	19.709072	7	14
Atlantic	(27.75,27.85]	2	cstar_tref ~ nitrate + phosphate_star	1658	3.8916365	9219.07970	3.323475	14.4422531	2000-2009 –> 2010-2019	7.8730346	3.9813981	16502.96462	5.948157	8	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	1658	5.2504159	10216.14716	30.188920	14.7976713	2000-2009 –> 2010-2019	9.7563912	4.5059752	17825.58997	64.674101	9	18
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	1658	5.2594594	10219.85383	27.788685	14.4033660	2000-2009 –> 2010-2019	9.8219101	4.5624507	17859.65619	62.120791	10	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4180	4.7359095	24877.57906	50.752212	24.1642667	1982-1999 –> 2000-2009	8.5676041	3.8316945	43768.76601	136.704859	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4180	4.7361241	24875.95788	40.082411	23.9875116	1982-1999 –> 2000-2009	8.6344804	3.8983562	43883.01659	113.513267	2	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4180	4.7669993	24930.28057	42.426262	24.3946333	1982-1999 –> 2000-2009	8.6426329	3.8756336	43897.38882	99.940259	3	5
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4180	4.7673081	24928.82206	27.582163	24.6151606	1982-1999 –> 2000-2009	8.7218379	3.9545297	44031.65281	67.916693	4	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4180	4.7823203	24957.10623	8.749766	22.3124235	1982-1999 –> 2000-2009	9.0871517	4.3048314	44641.98151	22.277131	5	11
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + nitrate	4180	4.7884876	24965.88035	7.540458	23.0552758	1982-1999 –> 2000-2009	9.0939807	4.3054931	44649.80595	18.325635	6	13
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	4180	4.8774966	25119.85045	6.274333	21.3796495	1982-1999 –> 2000-2009	9.2637598	4.3862632	44930.79276	16.423953	7	17
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4180	5.2505233	25737.94604	50.741512	26.6442765	1982-1999 –> 2000-2009	9.3250094	4.0744861	45046.99677	135.194503	11	16
Atlantic	(27.85,27.95]	2	cstar_tref ~ sal + nitrate	4180	4.9360693	25217.64569	1.318583	23.6046784	1982-1999 –> 2000-2009	9.3339038	4.3978346	45044.59290	2.945924	8	19
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	4180	5.3114645	25832.41928	39.470453	26.8011513	1982-1999 –> 2000-2009	9.6671468	4.3556822	45595.54811	93.546352	13	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4522	5.0281398	27453.39316	72.752776	49.0301938	2000-2009 –> 2010-2019	9.7640493	4.7359095	52330.97222	123.504988	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4522	5.2117416	27775.74711	63.425495	42.0535019	2000-2009 –> 2010-2019	9.9787410	4.7669993	52706.02768	105.851756	2	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4522	5.2472791	27837.20647	9.900289	53.3749282	2000-2009 –> 2010-2019	10.0295994	4.7823203	52794.31270	18.650055	3	8
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	4522	5.6653449	28528.50223	4.611193	44.2022661	2000-2009 –> 2010-2019	10.5428415	4.8774966	53648.35268	10.885526	7	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4522	5.3002608	27928.06552	71.107722	37.0159666	2000-2009 –> 2010-2019	10.5507840	5.2505233	53666.01156	121.849235	4	15
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	4522	5.3081621	27939.53788	62.081642	37.0743482	2000-2009 –> 2010-2019	10.6196267	5.3114645	53771.95716	101.552095	5	18
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	4522	5.6108844	28441.14246	6.418436	34.4549864	2000-2009 –> 2010-2019	10.9169228	5.3060384	54265.01686	13.213604	6	18
Atlantic	(27.85,27.95]	2	cstar_tref ~ nitrate + phosphate_star	4522	5.7102159	28597.85097	1.815494	33.5597790	2000-2009 –> 2010-2019	11.0373053	5.3270894	54452.82691	3.250933	8	22
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4522	6.4737116	29736.80758	41.756692	153.7029143	2000-2009 –> 2010-2019	11.2098358	4.7361241	54612.76546	81.839104	10	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4522	6.5177897	29796.17748	26.141878	146.8019719	2000-2009 –> 2010-2019	11.2850978	4.7673081	54724.99954	53.724041	11	15
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2959	1.9865117	12473.27604	235.281958	13.0085375	1982-1999 –> 2000-2009	3.9139785	1.9274669	26382.44811	570.246017	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2959	2.0678178	12708.66871	115.861815	16.4443060	1982-1999 –> 2000-2009	4.0762053	2.0083876	26891.21753	413.004098	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2959	2.2058595	13091.11010	149.228537	10.5750810	1982-1999 –> 2000-2009	4.5041379	2.2982784	28176.46798	302.370737	3	6
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	2959	2.2106935	13102.06479	93.293597	11.7560519	1982-1999 –> 2000-2009	4.5212346	2.3105411	28221.05495	239.496252	4	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	2959	2.6437260	14162.69434	63.053402	26.7666601	1982-1999 –> 2000-2009	5.2518996	2.6081737	30095.02870	233.840931	5	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2959	2.7202915	14331.65188	16.717700	29.7549217	1982-1999 –> 2000-2009	5.3126493	2.5923578	30223.25843	41.406402	7	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	2959	2.7230322	14335.61138	15.427890	30.8957014	1982-1999 –> 2000-2009	5.3154187	2.5923865	30225.29187	39.079854	8	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	2959	2.6679391	14214.64900	38.981339	25.7955001	1982-1999 –> 2000-2009	5.3697530	2.7018139	30381.17230	114.439859	6	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + nitrate	2959	2.7339972	14359.39373	5.350429	29.8062258	1982-1999 –> 2000-2009	5.4271203	2.6931232	30504.34376	10.803694	9	19
Atlantic	(27.95,28.05]	2	cstar_tref ~ sal + nitrate	2959	2.7342143	14357.86369	2.026969	30.1446039	1982-1999 –> 2000-2009	5.4456838	2.7114696	30546.27427	3.688362	10	22
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3384	2.8330914	16665.35778	262.871369	10.0044196	2000-2009 –> 2010-2019	4.8196030	1.9865117	29138.63382	498.153327	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3384	2.8352947	16668.61933	186.610974	9.6296870	2000-2009 –> 2010-2019	4.9031125	2.0678178	29377.28804	302.472789	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3384	2.9220959	16872.70996	115.823228	9.3960488	2000-2009 –> 2010-2019	5.1279554	2.2058595	29963.82006	265.051765	3	6
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	3384	3.2754393	17643.28310	70.312441	19.5652718	2000-2009 –> 2010-2019	5.4861328	2.2106935	30745.34788	163.606038	4	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3384	3.6207773	18323.68532	23.230229	25.5703475	2000-2009 –> 2010-2019	6.3410688	2.7202915	32655.33719	39.947929	5	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	3384	3.8644042	18762.40919	3.546943	30.9034843	2000-2009 –> 2010-2019	6.5874364	2.7230322	33098.02057	18.974833	7	15
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	3384	3.8188423	18682.13948	4.176788	30.2648317	2000-2009 –> 2010-2019	6.7631510	2.9443086	33480.11219	10.123884	6	17
Atlantic	(27.95,28.05]	2	cstar_tref ~ nitrate + phosphate_star	3384	3.8684090	18767.41951	2.860677	30.5742151	2000-2009 –> 2010-2019	6.8128045	2.9443955	33563.56678	4.821286	8	20
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	3384	4.8709281	20331.04542	54.550475	38.0392100	2000-2009 –> 2010-2019	7.5146540	2.6437260	34493.73975	117.603877	11	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3384	4.2685151	19437.54438	21.778594	38.4046112	2000-2009 –> 2010-2019	7.6166257	3.3481106	34998.11124	39.547021	9	22
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1429	1.9821927	6024.78039	190.434416	10.8760866	1982-1999 –> 2000-2009	3.5107598	1.5285671	12464.41709	362.970390	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1429	2.0143511	6068.77541	171.748133	10.2956893	1982-1999 –> 2000-2009	3.6478237	1.6334727	12737.80400	341.708415	2	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1429	2.2630978	6401.55374	67.564900	15.7430290	1982-1999 –> 2000-2009	3.8381051	1.5750073	12943.52350	99.752603	5	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1429	2.1855859	6301.95066	132.985435	11.4923671	1982-1999 –> 2000-2009	3.9371300	1.7515441	13214.26548	236.916086	3	9
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	1429	2.1953007	6312.62609	48.367857	11.8504089	1982-1999 –> 2000-2009	3.9484795	1.7531789	13226.19300	134.263817	4	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1429	2.2954486	6440.11937	20.508316	14.8627014	1982-1999 –> 2000-2009	4.0547424	1.7592938	13365.82401	50.478081	6	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	1429	2.3802979	6543.85718	12.633734	15.7079795	1982-1999 –> 2000-2009	4.0819179	1.7016200	13353.36736	32.410527	7	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1429	2.5786716	6774.63653	81.811375	19.0414519	1982-1999 –> 2000-2009	4.2970389	1.7183672	13620.28798	119.319289	9	14
Atlantic	(28.05,28.1]	2	cstar_tref ~ aou + nitrate	1429	2.5433528	6731.22131	2.642206	21.1747868	1982-1999 –> 2000-2009	4.3054689	1.7621161	13660.51375	10.676773	8	17
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	1429	2.5814999	6775.76945	23.413282	18.9488736	1982-1999 –> 2000-2009	4.3442589	1.7627590	13708.33357	44.596485	10	20
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2006	1.9358596	8356.91390	252.419802	16.1413910	2000-2009 –> 2010-2019	3.9180523	1.9821927	14381.69429	442.854218	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2006	2.0322344	8549.83457	228.381035	17.4794536	2000-2009 –> 2010-2019	4.0465855	2.0143511	14618.60998	400.129168	3	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2006	2.0389985	8563.16586	161.132990	18.7318034	2000-2009 –> 2010-2019	4.2245844	2.1855859	14865.11652	294.118424	4	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2006	1.9717371	8428.58804	59.872798	18.8472876	2000-2009 –> 2010-2019	4.2348348	2.2630978	14830.14178	127.437698	2	7
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	2006	2.0681809	8618.17919	96.678224	18.7936844	2000-2009 –> 2010-2019	4.2634816	2.1953007	14930.80528	145.046080	6	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	2006	2.0390418	8561.25113	37.154756	18.6520381	2000-2009 –> 2010-2019	4.3344904	2.2954486	15001.37050	57.663072	5	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	2006	2.1173411	8712.42769	22.177883	22.4116552	2000-2009 –> 2010-2019	4.4976389	2.3802979	15256.28487	34.811617	7	14
Atlantic	(28.05,28.1]	2	cstar_tref ~ aou + nitrate	2006	2.1533341	8778.05521	4.518951	26.4811724	2000-2009 –> 2010-2019	4.6966869	2.5433528	15509.27652	7.161157	10	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2006	2.1239828	8726.99302	90.092901	25.1019796	2000-2009 –> 2010-2019	4.7026545	2.5786716	15501.62955	171.904277	8	17
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	2006	2.1722951	8815.22777	33.042126	25.2420227	2000-2009 –> 2010-2019	4.7537949	2.5814999	15590.99722	56.455408	11	21
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1215	1.3488732	4189.24562	609.576884	5.1339742	1982-1999 –> 2000-2009	2.5430848	1.1942116	8893.54163	836.116596	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1215	1.3489136	4187.31854	50.015190	5.0798743	1982-1999 –> 2000-2009	2.5436321	1.1947185	8890.86116	81.374724	2	4
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1215	1.3594051	4206.14536	249.613788	5.9721066	1982-1999 –> 2000-2009	2.5544105	1.1950054	8910.39349	371.974593	3	6
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	1215	1.3769553	4235.31637	9.829138	5.5050808	1982-1999 –> 2000-2009	2.5751619	1.1982066	8945.42434	28.041492	4	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1215	1.3971529	4272.70136	71.993523	7.0935138	1982-1999 –> 2000-2009	2.6429276	1.2457747	9099.19066	134.432153	5	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + phosphate_star	1215	1.3987517	4273.48055	32.879505	6.9515986	1982-1999 –> 2000-2009	2.6530722	1.2543205	9118.05511	74.299188	6	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1215	1.4525685	4367.22079	380.812622	4.9628056	1982-1999 –> 2000-2009	2.6544449	1.2018764	9088.31328	558.959672	7	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	1215	1.4615562	4380.20999	29.425380	5.4717234	1982-1999 –> 2000-2009	2.6634431	1.2018869	9099.32816	78.998839	8	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	1215	1.5078440	4455.97498	9.717810	7.0445705	1982-1999 –> 2000-2009	2.7101303	1.2022863	9176.06938	27.270578	9	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1215	1.5476095	4521.22956	53.075045	9.7253096	1982-1999 –> 2000-2009	2.8956407	1.3480312	9579.49034	87.129354	10	22
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2366	1.3946749	8302.57061	524.703451	10.1012913	2000-2009 –> 2010-2019	2.7435481	1.3488732	12491.81623	1134.280335	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2366	1.4318589	8425.07975	261.864396	7.3964582	2000-2009 –> 2010-2019	2.7912640	1.3594051	12631.22510	511.478185	4	7
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2366	1.4209574	8388.91469	75.813625	5.9670299	2000-2009 –> 2010-2019	2.8181102	1.3971529	12661.61605	147.807148	3	8
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + phosphate_star	2366	1.4358908	8436.38565	49.510079	6.0301510	2000-2009 –> 2010-2019	2.8346425	1.3987517	12709.86620	82.389584	5	11
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	2366	1.5110300	8679.74654	46.797200	3.8199071	2000-2009 –> 2010-2019	2.8599436	1.3489136	12867.06507	96.812389	7	9
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	2366	1.5160794	8693.53317	25.017868	3.7821522	2000-2009 –> 2010-2019	2.8930347	1.3769553	12928.84953	34.847006	8	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2366	1.3947087	8300.68543	56.181261	9.9419684	2000-2009 –> 2010-2019	2.9423183	1.5476095	12821.91498	109.256306	2	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2366	1.5786703	8886.96751	311.790975	9.7061914	2000-2009 –> 2010-2019	3.0312389	1.4525685	13254.18830	692.603597	9	16
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	2366	1.6156583	8994.55847	83.085786	6.8325364	2000-2009 –> 2010-2019	3.0772145	1.4615562	13374.76846	112.511166	12	20
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	2366	1.5851412	8904.32408	22.186844	7.5858100	2000-2009 –> 2010-2019	3.0929852	1.5078440	13360.29906	31.904654	10	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	699	0.4648215	924.66578	52.523659	2.4282261	1982-1999 –> 2000-2009	0.8117550	0.3469335	1472.09575	66.546011	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	699	0.5083939	1049.93092	263.605769	3.1875636	1982-1999 –> 2000-2009	0.8636523	0.3552584	1632.59739	307.714111	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	699	0.5103330	1055.25297	72.503992	3.1378360	1982-1999 –> 2000-2009	0.9169267	0.4065937	1838.48340	107.084441	3	10
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	699	0.5110933	1055.33412	64.052242	3.1949084	1982-1999 –> 2000-2009	0.9396643	0.4285710	1914.79051	89.926303	4	13
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	699	0.6140996	1312.01386	40.346708	2.9704759	1982-1999 –> 2000-2009	0.9763338	0.3622342	1921.57649	50.162759	6	9
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	699	0.7131663	1521.09530	190.315051	4.2360285	1982-1999 –> 2000-2009	1.0804478	0.3672815	2151.22063	218.509313	7	11
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	699	0.7149786	1524.64336	14.446721	4.2181651	1982-1999 –> 2000-2009	1.0823370	0.3673584	2155.07968	19.594763	8	13
Atlantic	(28.15,28.2]	2	cstar_tref ~ aou + nitrate	699	0.7207652	1533.91240	3.447664	4.3662781	1982-1999 –> 2000-2009	1.0882816	0.3675164	2162.98769	5.588260	9	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	699	0.5944516	1268.55401	37.357422	4.1642627	1982-1999 –> 2000-2009	1.1361988	0.5417472	2478.24428	53.193850	5	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	699	0.7231317	1540.49495	38.737978	4.2086498	1982-1999 –> 2000-2009	1.1435119	0.4203801	2371.27611	55.866133	10	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1084	0.5070906	1616.04457	15.393769	1.6921650	2000-2009 –> 2010-2019	0.9719121	0.4648215	2540.71035	67.917428	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1084	0.5288266	1707.03746	35.536156	1.6504304	2000-2009 –> 2010-2019	1.0391596	0.5103330	2762.29043	108.040148	2	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1084	0.5309531	1715.73803	54.784856	2.0064245	2000-2009 –> 2010-2019	1.0393471	0.5083939	2765.66895	318.390625	3	5
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	1084	0.5315272	1716.08069	26.876972	1.9041131	2000-2009 –> 2010-2019	1.0426205	0.5110933	2771.41481	90.929214	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	1084	0.5728606	1878.43799	11.184319	2.5461708	2000-2009 –> 2010-2019	1.1869602	0.6140996	3190.45185	51.531027	5	11
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1084	0.6215917	2057.43573	15.737278	2.4876397	2000-2009 –> 2010-2019	1.2160433	0.5944516	3325.98974	53.094700	7	12
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	1084	0.6432079	2129.54797	40.319074	2.4355850	2000-2009 –> 2010-2019	1.3563742	0.7131663	3650.64328	230.634125	9	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	1084	0.6491543	2149.49881	6.039554	2.4749003	2000-2009 –> 2010-2019	1.3641329	0.7149786	3674.14217	20.486275	10	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	1084	0.6509639	2155.53387	20.336624	2.4999849	2000-2009 –> 2010-2019	1.3740956	0.7231317	3696.02882	59.074603	11	21
Atlantic	(28.15,28.2]	2	cstar_tref ~ aou + nitrate	1084	0.6609337	2186.48622	2.432415	2.5912821	2000-2009 –> 2010-2019	1.3816989	0.7207652	3720.39862	5.880079	14	23
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	935	0.4614792	1221.30983	304.789984	2.3417601	1982-1999 –> 2000-2009	0.7726624	0.3111832	1621.71384	719.555836	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	935	0.5286493	1473.42098	289.432053	4.4596935	1982-1999 –> 2000-2009	0.8399421	0.3112927	1872.36554	704.197710	3	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	935	0.5145814	1422.98421	239.522947	2.6373399	1982-1999 –> 2000-2009	0.9616819	0.4471005	2378.03685	520.157598	2	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	935	0.5909917	1681.88244	191.998198	5.1667153	1982-1999 –> 2000-2009	1.0599572	0.4689655	2710.27269	366.607316	4	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	935	0.7356211	2091.25003	153.359234	4.0709414	1982-1999 –> 2000-2009	1.0740318	0.3384107	2618.49123	282.376309	7	10
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	935	0.7474911	2119.18356	2.635644	3.8534140	1982-1999 –> 2000-2009	1.0860003	0.3385092	2644.87181	9.576219	9	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + nitrate	935	0.6184511	1764.81055	4.784205	3.4866339	1982-1999 –> 2000-2009	1.1403593	0.5219082	2955.49528	13.297875	6	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + nitrate	935	0.5918836	1682.70247	5.196987	5.4021836	1982-1999 –> 2000-2009	1.1473835	0.5554999	2969.19781	19.870278	5	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	935	0.8337061	2325.31009	209.426688	4.9168143	1982-1999 –> 2000-2009	1.1820395	0.3483334	2896.94148	368.253474	10	15
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	935	0.8629006	2387.67266	130.045680	5.1468678	1982-1999 –> 2000-2009	1.2114657	0.3485652	2958.32561	258.540537	11	18
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1295	0.2273716	-147.17892	349.377268	2.4920473	2000-2009 –> 2010-2019	0.6888508	0.4614792	1074.13091	654.167252	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1295	0.2276328	-146.20463	242.522315	2.5186728	2000-2009 –> 2010-2019	0.7562821	0.5286493	1327.21635	531.954368	2	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1295	0.4091018	1372.13115	66.153999	1.5885582	2000-2009 –> 2010-2019	0.9236832	0.5145814	2795.11536	305.676946	10	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1295	0.2338364	-76.56530	26.248226	2.3592172	2000-2009 –> 2010-2019	0.9694575	0.7356211	2014.68473	179.607461	3	10
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	1295	0.2389833	-22.17565	2.275229	2.4241557	2000-2009 –> 2010-2019	0.9864744	0.7474911	2097.00791	4.910873	4	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	1295	0.4062956	1354.30421	54.493909	1.4366294	2000-2009 –> 2010-2019	0.9972873	0.5909917	3036.18664	246.492107	9	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + nitrate	1295	0.4136330	1398.66036	3.406617	1.5817187	2000-2009 –> 2010-2019	1.0055166	0.5918836	3081.36283	8.603604	11	16
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + nitrate	1295	0.4248142	1467.74320	1.812336	1.3946269	2000-2009 –> 2010-2019	1.0432653	0.6184511	3232.55375	6.596541	12	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1295	0.2445584	39.55053	30.882708	2.1017553	2000-2009 –> 2010-2019	1.0782645	0.8337061	2364.86062	240.309396	5	15
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	1295	0.2813694	400.70567	25.887824	2.7627071	2000-2009 –> 2010-2019	1.1442699	0.8629006	2788.37832	155.933503	7	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3586	8.4699515	25513.78289	62.235017	119.6939535	1982-1999 –> 2000-2009	17.8772090	9.4072575	41714.16011	131.974714	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	3586	8.5690494	25595.20773	32.598598	103.4948456	1982-1999 –> 2000-2009	18.5126077	9.9435583	42038.75599	77.217967	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3586	10.8440455	27283.92202	62.233507	118.5174750	1982-1999 –> 2000-2009	21.1000180	10.2559725	43864.26608	131.960353	3	6
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	3586	10.8447036	27282.35727	31.333849	120.0360958	1982-1999 –> 2000-2009	21.9848571	11.1401535	44226.38214	74.055141	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3586	11.9135254	27958.50753	9.619527	43.5718556	1982-1999 –> 2000-2009	23.7761512	11.8626258	45182.39656	18.835964	6	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3586	11.3397306	27604.48470	59.280670	166.2240688	1982-1999 –> 2000-2009	24.8398800	13.5001494	45400.17361	127.990518	5	12
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	3586	12.3476387	28213.19703	58.997502	156.7148696	1982-1999 –> 2000-2009	25.8620978	13.5144591	46011.57064	127.527909	7	15
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	3586	13.6831706	28949.77443	8.842056	43.4386122	1982-1999 –> 2000-2009	26.2619115	12.5787408	46430.86068	17.142777	13	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3586	12.9222432	28541.41729	13.583391	47.9170257	1982-1999 –> 2000-2009	26.5057430	13.5834998	46364.32387	26.225045	8	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	3586	14.2728548	29252.38124	25.549080	68.6927758	1982-1999 –> 2000-2009	27.9516191	13.6787643	47104.19217	66.527995	14	24
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5162	9.2434704	37622.84466	66.478641	111.8645180	2000-2009 –> 2010-2019	17.7134219	8.4699515	63136.62755	128.713658	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5162	9.2536156	37632.16957	35.256181	117.5808966	2000-2009 –> 2010-2019	17.8226650	8.5690494	63227.37730	67.854779	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5162	10.6859454	39117.94822	66.477811	117.2227574	2000-2009 –> 2010-2019	21.5299909	10.8440455	66401.87024	128.711318	3	6
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	5162	10.7279334	39156.43453	34.938508	129.8832433	2000-2009 –> 2010-2019	21.5726370	10.8447036	66438.79180	66.272357	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5162	12.4538828	40698.58442	63.709187	164.7880670	2000-2009 –> 2010-2019	23.7936134	11.3397306	68303.06913	122.989857	6	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5162	11.9513290	40273.33928	9.959279	94.4893184	2000-2009 –> 2010-2019	23.8648544	11.9135254	68231.84681	19.578806	5	11
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	5162	12.7128448	40909.05682	63.343799	161.3388830	2000-2009 –> 2010-2019	25.0604835	12.3476387	69122.25385	122.341300	7	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5162	13.0123747	41151.48132	14.381907	89.3543817	2000-2009 –> 2010-2019	25.9346178	12.9222432	69692.89861	27.965297	8	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	5162	13.1099250	41226.58892	9.780116	87.0899812	2000-2009 –> 2010-2019	26.7930956	13.6831706	70176.36334	18.622172	9	22
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + phosphate_star	5162	13.5863871	41595.14297	5.432135	51.0987013	2000-2009 –> 2010-2019	27.0022625	13.4158755	70403.42879	10.766766	10	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2950	8.5311944	21033.74066	24.827116	50.3421880	1982-1999 –> 2000-2009	16.5868800	8.0556856	37768.10114	45.521424	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2950	10.2622299	22121.71126	24.753919	64.3725771	1982-1999 –> 2000-2009	18.8439506	8.5817207	39155.80433	45.411796	3	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2950	10.0754327	22013.32765	24.702219	53.1441405	1982-1999 –> 2000-2009	19.2924953	9.2170626	39388.10348	41.799655	2	5
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	2950	11.6785625	22882.49125	24.621688	67.7947172	1982-1999 –> 2000-2009	21.2918444	9.6132818	40456.03290	36.075660	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2950	12.8848749	23464.45674	23.560603	47.9875419	1982-1999 –> 2000-2009	23.6031745	10.7182996	41559.00707	42.089782	8	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2950	11.9399639	23015.09474	20.388727	39.5227301	1982-1999 –> 2000-2009	23.7663832	11.8264193	41578.93405	35.405605	5	13
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	2950	12.8881636	23463.96244	22.692661	47.0245000	1982-1999 –> 2000-2009	24.5327110	11.6445475	41951.87670	41.015098	9	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate_star	2950	13.3950823	23691.57445	12.635556	50.0997272	1982-1999 –> 2000-2009	24.6738821	11.2787998	42027.26274	20.116011	12	18
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2950	12.1278322	23107.20499	24.247574	44.5200273	1982-1999 –> 2000-2009	25.1814521	13.0536200	42141.98417	42.900143	6	20
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + temp + phosphate_star	2950	12.3449392	23209.88993	13.866494	44.2937263	1982-1999 –> 2000-2009	25.3621301	13.0171909	42229.33873	26.965824	7	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3020	10.1754430	22597.05143	21.373594	55.6545370	2000-2009 –> 2010-2019	18.7066374	8.5311944	43630.79209	46.200710	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3020	12.1115682	23647.12147	16.949024	62.7415101	2000-2009 –> 2010-2019	22.1870009	10.0754327	45660.44912	41.651243	3	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3020	12.0364533	23609.54525	21.369175	76.1209511	2000-2009 –> 2010-2019	22.2986832	10.2622299	45731.25652	46.123095	2	5
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	3020	13.6685525	24375.57917	13.133049	80.3808931	2000-2009 –> 2010-2019	25.3471150	11.6785625	47258.07043	37.754737	5	9
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3020	13.6583133	24373.05288	14.756494	51.1033433	2000-2009 –> 2010-2019	25.5982772	11.9399639	47388.14762	35.145221	4	9
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3020	14.2143898	24614.08782	21.259818	59.9342724	2000-2009 –> 2010-2019	26.3422219	12.1278322	47721.29281	45.507392	7	13
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + temp + phosphate_star	3020	14.1850805	24599.62082	12.440157	48.9572739	2000-2009 –> 2010-2019	26.5300197	12.3449392	47809.51075	26.306651	6	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3020	14.6256262	24786.35101	20.370785	66.7315482	2000-2009 –> 2010-2019	27.5105011	12.8848749	48250.80775	43.931388	8	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	3020	14.6443673	24792.08565	19.727777	64.2706786	2000-2009 –> 2010-2019	27.5325309	12.8881636	48256.04809	42.420438	9	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	3020	15.1660927	25003.52437	18.630368	49.5772153	2000-2009 –> 2010-2019	28.3672627	13.2011700	48609.06395	40.524735	10	21
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2722	8.2531934	19228.80888	54.764300	37.2097482	1982-1999 –> 2000-2009	16.2088545	7.9556611	34038.40411	106.831719	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2722	8.3694608	19302.96643	38.743926	38.4463256	1982-1999 –> 2000-2009	17.0421127	8.6726519	34476.08971	69.973588	2	7
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2722	8.7271239	19530.77824	20.988169	35.9814933	1982-1999 –> 2000-2009	17.1961193	8.4689954	34603.24266	36.619305	6	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2722	8.7043835	19516.57417	52.756897	37.4111122	1982-1999 –> 2000-2009	17.4467406	8.7423572	34723.60765	98.699756	5	12
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	2722	8.7288058	19529.82731	19.166394	35.7525870	1982-1999 –> 2000-2009	17.4510510	8.7222452	34725.10454	29.437060	7	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2722	9.2251339	19832.89758	36.273141	33.8078477	1982-1999 –> 2000-2009	17.4516956	8.2265617	34782.33271	60.516757	14	16
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2722	8.4019499	19324.05836	31.209257	40.3316006	1982-1999 –> 2000-2009	17.4626711	9.0607211	34682.60874	59.518681	3	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + nitrate	2722	8.4262438	19337.77674	29.125370	40.1908207	1982-1999 –> 2000-2009	17.5008912	9.0746474	34700.83280	55.053317	4	22
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + phosphate_star	2722	8.7959709	19571.55665	30.939958	35.9037448	1982-1999 –> 2000-2009	17.5916585	8.7956876	34802.35220	58.822281	10	20
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	2722	9.2561072	19849.14513	19.767050	34.4981268	1982-1999 –> 2000-2009	17.7504773	8.4943701	34932.28241	31.864534	16	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2476	11.2747178	19037.11488	55.456807	35.6833478	2000-2009 –> 2010-2019	19.5279112	8.2531934	38265.92376	110.221107	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2476	11.2878074	19040.86068	29.019079	36.0401563	2000-2009 –> 2010-2019	19.6572683	8.3694608	38343.82711	67.763005	2	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2476	11.2929068	19043.09729	23.288742	36.4228197	2000-2009 –> 2010-2019	19.6948567	8.4019499	38367.15565	54.497999	3	6
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + nitrate	2476	11.2932810	19041.26136	21.552865	36.3929214	2000-2009 –> 2010-2019	19.7195248	8.4262438	38379.03810	50.678235	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2476	11.3135328	19052.13364	13.275005	35.3271987	2000-2009 –> 2010-2019	20.0406567	8.7271239	38582.91187	34.263174	5	11
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	2476	11.3144299	19050.52628	9.163910	35.1461582	2000-2009 –> 2010-2019	20.0432357	8.7288058	38580.35359	28.330303	7	14
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	2476	11.3140852	19050.37544	10.694037	35.0780891	2000-2009 –> 2010-2019	20.0494542	8.7353690	38584.29453	29.801713	6	14
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ sal + nitrate	2476	11.3145343	19048.57200	1.055756	35.0565701	2000-2009 –> 2010-2019	20.0501256	8.7355913	38580.62963	2.769629	8	17
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2476	11.5850193	19169.56152	44.078623	36.0331981	2000-2009 –> 2010-2019	20.2894028	8.7043835	38686.13569	96.835520	9	14
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + aou	2476	11.5894730	19169.46486	21.147776	35.6527659	2000-2009 –> 2010-2019	20.4529001	8.8634272	38782.61222	50.577621	11	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3372	6.3604563	22060.39667	40.671338	23.7661112	1982-1999 –> 2000-2009	11.8901081	5.5296519	38996.37149	91.505600	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3372	6.3608530	22058.81726	16.203014	23.6738027	1982-1999 –> 2000-2009	11.8909855	5.5301325	38993.26212	27.216364	3	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3372	6.3606374	22058.58867	24.547723	23.7465126	1982-1999 –> 2000-2009	11.9224558	5.5618185	39023.93130	57.635205	2	6
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	3372	6.3619726	22058.00420	13.970076	23.4853796	1982-1999 –> 2000-2009	11.9487799	5.5868073	39045.59013	23.754452	4	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3372	6.4572461	22160.25004	17.271338	21.6677424	1982-1999 –> 2000-2009	12.0183133	5.5610672	39124.86212	32.671110	5	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3372	6.4670211	22170.45142	33.185361	22.6378509	1982-1999 –> 2000-2009	12.0432025	5.5761813	39149.74166	68.267830	7	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3372	6.4666689	22168.08411	17.120961	21.3435463	1982-1999 –> 2000-2009	12.0520550	5.5853861	39154.29415	28.176815	6	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + temp + aou	3372	6.4672924	22168.73433	17.270798	22.6131113	1982-1999 –> 2000-2009	12.0566274	5.5893349	39158.76643	43.103037	8	17
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	3372	6.4845637	22186.72050	6.096719	23.1050790	1982-1999 –> 2000-2009	12.0897456	5.6051820	39192.06382	14.040971	9	20
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	3372	6.5094331	22212.53551	10.831782	21.4162929	1982-1999 –> 2000-2009	12.0962658	5.5868326	39200.14596	21.727684	11	19
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3589	7.1103181	24272.36407	33.339554	25.8846550	2000-2009 –> 2010-2019	13.4707744	6.3604563	46332.76074	74.010892	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3589	7.2314239	24391.55932	8.799950	24.3874662	2000-2009 –> 2010-2019	13.5922768	6.3608530	46450.37658	25.002964	5	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3589	7.1441497	24304.42721	24.997272	27.3670625	2000-2009 –> 2010-2019	13.6111708	6.4670211	46474.87863	58.182633	2	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3589	7.1814131	24341.75946	10.099248	25.6586617	2000-2009 –> 2010-2019	13.6386592	6.4572461	46502.00950	27.370587	3	8
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	3589	7.1886460	24346.98323	7.928859	26.4389119	2000-2009 –> 2010-2019	13.6980791	6.5094331	46559.51874	18.760641	4	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3589	7.4424844	24604.85629	19.660878	22.1232205	2000-2009 –> 2010-2019	13.8031218	6.3606374	46663.44495	44.208601	7	9
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	3589	7.4433983	24603.73761	8.169653	21.8773291	2000-2009 –> 2010-2019	13.8053709	6.3619726	46661.74181	22.139729	8	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	3589	7.3984798	24553.44910	4.607464	27.2155210	2000-2009 –> 2010-2019	13.8830435	6.4845637	46740.16960	10.704183	6	15
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + temp + aou	3589	7.5117500	24669.35139	14.049401	22.6188687	2000-2009 –> 2010-2019	13.9790424	6.4672924	46838.08572	31.320198	9	17
Indo-Pacific	(26.75,27]	2	cstar_tref ~ sal + aou	3589	7.5291309	24683.94084	1.006870	23.4974232	2000-2009 –> 2010-2019	14.0245544	6.4954236	46879.94630	2.075556	10	20
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4489	4.5868212	26428.40520	33.560906	15.2870515	1982-1999 –> 2000-2009	8.1401550	3.5533338	45626.33418	83.828044	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4489	4.5872194	26427.18457	20.218320	15.1662365	1982-1999 –> 2000-2009	8.1454694	3.5582500	45632.98533	28.521726	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4489	4.6175096	26486.27299	18.142976	15.9939184	1982-1999 –> 2000-2009	8.2266938	3.6091841	45793.55380	45.018861	3	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4489	4.6414736	26532.74651	26.450890	16.8422783	1982-1999 –> 2000-2009	8.2534463	3.6119727	45845.54177	39.657715	5	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	4489	4.6377960	26523.63024	2.462800	15.3381924	1982-1999 –> 2000-2009	8.2624326	3.6246366	45859.41519	6.832012	4	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4489	4.6558594	26560.52995	15.598468	14.2645573	1982-1999 –> 2000-2009	8.2637088	3.6078495	45865.16986	38.132169	7	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	4489	4.6490341	26545.35899	6.124757	16.9692332	1982-1999 –> 2000-2009	8.2815430	3.6325088	45896.63426	13.611684	6	13
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	4489	4.6928998	26629.67320	2.518347	15.1680196	1982-1999 –> 2000-2009	8.4295046	3.7366048	46182.68096	7.127796	8	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	4489	4.8016078	26835.27057	19.772562	16.4965318	1982-1999 –> 2000-2009	8.4848482	3.6832404	46285.57304	26.854262	9	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate_star	4489	4.8115552	26853.85091	5.702236	16.4537130	1982-1999 –> 2000-2009	8.5993227	3.7877676	46503.95847	13.100446	11	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4503	5.0141726	27313.04976	29.010964	15.8900270	2000-2009 –> 2010-2019	9.6009938	4.5868212	53741.45496	62.571871	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4503	5.0212008	27323.66447	11.736111	16.3679991	2000-2009 –> 2010-2019	9.6084203	4.5872194	53750.84904	31.954432	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4503	5.0244440	27329.47954	16.773905	16.5228068	2000-2009 –> 2010-2019	9.6659176	4.6414736	53862.22605	43.224795	3	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4503	5.0457289	27367.55083	14.175270	15.2248142	2000-2009 –> 2010-2019	9.7015883	4.6558594	53928.08078	29.773739	5	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4503	5.1321054	27520.41741	18.007601	17.3681349	2000-2009 –> 2010-2019	9.7496150	4.6175096	54006.69040	36.150578	10	13
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	4503	5.1360414	27525.32182	6.119122	17.0623142	2000-2009 –> 2010-2019	9.7850756	4.6490341	54070.68081	12.243879	13	19
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	4503	5.1581798	27564.05776	2.680624	16.7319916	2000-2009 –> 2010-2019	9.7959758	4.6377960	54087.68800	5.143424	15	19
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	4503	5.0244650	27327.51722	11.428806	16.5194024	2000-2009 –> 2010-2019	9.8260728	4.8016078	54162.78779	31.201368	4	13
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	4503	5.1355588	27524.47552	2.722137	16.5319994	2000-2009 –> 2010-2019	9.8284586	4.6928998	54154.14872	5.240484	11	19
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	4503	5.0674854	27406.30003	18.560130	15.2367783	2000-2009 –> 2010-2019	9.8733443	4.8058588	54251.51564	47.639228	6	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5910	3.4049760	31268.16520	66.096713	16.4021330	1982-1999 –> 2000-2009	6.5747894	3.1698135	53694.75465	112.732530	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5910	3.5110592	31628.80143	12.545437	15.4217746	1982-1999 –> 2000-2009	6.6962677	3.1852085	54095.60052	30.085891	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5910	3.5964458	31912.81618	8.366300	15.3864871	1982-1999 –> 2000-2009	6.8026254	3.2061796	54436.78633	20.848672	4	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5910	3.6178028	31982.79984	26.099973	15.5208641	1982-1999 –> 2000-2009	6.8191283	3.2013255	54493.57014	32.367146	5	8
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	5910	3.6178217	31980.86186	2.165703	15.5313867	1982-1999 –> 2000-2009	6.8198496	3.2020278	54491.54328	5.582864	6	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5910	3.5629920	31802.35291	48.697009	14.7811250	1982-1999 –> 2000-2009	6.8200329	3.2570409	54463.44132	65.054123	3	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	5910	3.6283393	32015.17461	2.392939	15.3827271	1982-1999 –> 2000-2009	6.8352736	3.2069343	54539.19523	5.696875	7	13
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate_star	5910	3.7851715	32515.35128	4.707307	16.8837240	1982-1999 –> 2000-2009	7.0362225	3.2510510	55158.40299	16.567518	8	15
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	5910	3.8063170	32579.19910	1.755693	17.3359998	1982-1999 –> 2000-2009	7.0577825	3.2514655	55221.36142	4.835961	9	17
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	5910	3.8453903	32701.91737	9.210935	11.8875681	1982-1999 –> 2000-2009	7.2066577	3.3612673	55635.42507	17.770081	10	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5781	3.4880538	30864.68197	44.581021	14.0416656	2000-2009 –> 2010-2019	6.8930298	3.4049760	62132.84717	110.677734	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5781	3.5157614	30954.16261	13.418222	13.8412771	2000-2009 –> 2010-2019	7.0268206	3.5110592	62582.96404	25.963659	6	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5781	3.4961042	30889.33625	8.027758	13.4854319	2000-2009 –> 2010-2019	7.0925501	3.5964458	62802.15242	16.394058	3	7
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5781	3.4896096	30867.83784	12.727456	13.8650841	2000-2009 –> 2010-2019	7.1074124	3.6178028	62850.63769	38.827430	2	7
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	5781	3.5018135	30906.20189	2.401365	13.3537346	2000-2009 –> 2010-2019	7.1301528	3.6283393	62921.37650	4.794304	4	11
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	5781	3.5334881	31010.31243	2.215532	13.4947367	2000-2009 –> 2010-2019	7.1513098	3.6178217	62991.17430	4.381235	7	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5781	3.6902203	31514.11075	30.081668	14.0494958	2000-2009 –> 2010-2019	7.2532123	3.5629920	63316.46367	78.778677	13	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	5781	3.5123116	30942.81201	18.802384	14.8600866	2000-2009 –> 2010-2019	7.3658250	3.8535134	63671.67170	58.001380	5	16
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate_star	5781	3.5880547	31187.49640	5.461758	15.1560368	2000-2009 –> 2010-2019	7.3732262	3.7851715	63702.84768	10.169065	8	16
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	5781	3.6014967	31228.73050	1.778098	15.8454207	2000-2009 –> 2010-2019	7.4078138	3.8063170	63807.92960	3.533791	9	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6531	1.9946538	27567.10073	115.947774	13.3570473	1982-1999 –> 2000-2009	4.2349136	2.2402598	48968.44784	153.925988	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6531	2.0171983	27711.90540	4.736851	13.1477440	1982-1999 –> 2000-2009	4.2654371	2.2482388	49145.41884	9.832699	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	6531	2.0625439	28002.28108	4.697277	12.8105981	1982-1999 –> 2000-2009	4.3660587	2.3035148	49669.21147	10.107136	3	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6531	2.2112084	28911.38360	114.894550	11.5126917	1982-1999 –> 2000-2009	4.4530182	2.2418098	50317.37727	152.767788	4	6
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	6531	2.2204631	28963.93873	4.525963	11.4119317	1982-1999 –> 2000-2009	4.4703922	2.2499291	50402.67442	9.326725	5	9
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	6531	2.2537548	29158.32546	4.465617	11.1374530	1982-1999 –> 2000-2009	4.5599757	2.3062209	50834.53885	9.567021	7	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	6531	2.2519011	29149.57718	114.956099	15.0405496	1982-1999 –> 2000-2009	4.9249006	2.6729995	52246.14049	151.187143	6	13
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + aou	6531	2.2699894	29252.07817	1.485515	14.8349764	1982-1999 –> 2000-2009	4.9586878	2.6886984	52402.91726	4.728741	8	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + nitrate	6531	2.3368006	29630.97492	1.450362	14.4812521	1982-1999 –> 2000-2009	5.0195645	2.6827639	52760.57953	4.530759	9	17
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	6531	2.3736544	29835.36894	113.355220	13.2954361	1982-1999 –> 2000-2009	5.0579434	2.6842890	52970.43499	149.185980	10	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7011	2.2304520	31158.86429	89.658647	13.2792456	2000-2009 –> 2010-2019	4.2251058	1.9946538	58725.96502	205.606421	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7011	2.2372295	31199.40733	6.201410	12.9524374	2000-2009 –> 2010-2019	4.2544278	2.0171983	58911.31273	10.938261	2	4
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7011	2.2620927	31354.37958	6.590319	12.4901392	2000-2009 –> 2010-2019	4.3246366	2.0625439	59356.66066	11.287596	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7011	2.2878200	31512.95480	89.626476	12.8418845	2000-2009 –> 2010-2019	4.4990284	2.2112084	60424.33840	204.521026	4	8
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	7011	2.2945467	31552.12240	6.078386	11.7128541	2000-2009 –> 2010-2019	4.5150099	2.2204631	60516.06113	10.604349	5	10
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + phosphate_star	7011	2.3202772	31708.48631	6.462882	11.2165330	2000-2009 –> 2010-2019	4.5740320	2.2537548	60866.81177	10.928499	6	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	7011	2.4388887	32409.56505	86.985124	12.8935029	2000-2009 –> 2010-2019	4.6907898	2.2519011	61559.14223	201.941224	7	13
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + aou	7011	2.4419659	32425.24563	1.782438	13.1195962	2000-2009 –> 2010-2019	4.7119553	2.2699894	61677.32380	3.267953	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + nitrate	7011	2.4478975	32459.26412	1.698418	12.4620402	2000-2009 –> 2010-2019	4.7846981	2.3368006	62090.23904	3.148781	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	7011	2.4684171	32576.31387	86.823896	11.9815573	2000-2009 –> 2010-2019	4.8420714	2.3736544	62411.68281	200.179116	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3167	1.0480679	9298.92766	734.455678	5.5142420	1982-1999 –> 2000-2009	2.3861807	1.3381128	17217.46649	1244.050992	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3167	1.0481525	9297.43889	715.129053	5.5046023	1982-1999 –> 2000-2009	2.3865079	1.3383554	17214.81570	1193.239468	2	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3167	1.0517457	9319.11569	102.419455	5.3488103	1982-1999 –> 2000-2009	2.4393218	1.3875761	17403.42456	189.841944	3	10
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3167	1.0517497	9317.13940	100.835398	5.3473618	1982-1999 –> 2000-2009	2.4399294	1.3881798	17401.45862	185.150496	4	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3167	1.1450657	9857.57285	3.609334	5.7296409	1982-1999 –> 2000-2009	2.4953791	1.3503135	17816.06328	12.210335	5	8
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	3167	1.1485439	9874.78375	1.851782	5.6709743	1982-1999 –> 2000-2009	2.5008176	1.3522737	17837.97886	4.443728	6	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3167	1.1937373	10121.23805	3.655545	5.7401305	1982-1999 –> 2000-2009	2.5685596	1.3748223	18162.86783	12.391932	7	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	3167	1.1982673	10143.22885	1.872682	5.6703607	1982-1999 –> 2000-2009	2.5770438	1.3787765	18196.13302	4.504624	8	14
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3167	1.6372667	12122.39726	470.216446	11.4317581	1982-1999 –> 2000-2009	3.4564095	1.8191428	21458.37613	847.315852	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	3167	1.7987183	12716.08572	2.985959	10.0160312	1982-1999 –> 2000-2009	3.6696086	1.8708903	22179.70711	10.695621	10	21
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3695	1.2027670	11862.33273	977.312407	13.4689615	2000-2009 –> 2010-2019	2.2509195	1.0481525	21159.77162	1692.441461	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3695	1.2044810	11872.85631	160.266770	12.6222622	2000-2009 –> 2010-2019	2.2562267	1.0517457	21191.97200	262.686225	2	4
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3695	1.2047026	11872.21557	151.035911	12.6657327	2000-2009 –> 2010-2019	2.2564522	1.0517497	21189.35497	251.871309	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3695	1.3119899	12504.67334	4.400773	8.1879721	2000-2009 –> 2010-2019	2.4570556	1.1450657	22362.24619	8.010106	4	8
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	3695	1.3134512	12510.89980	2.254392	8.0131199	2000-2009 –> 2010-2019	2.4619951	1.1485439	22385.68355	4.106174	5	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3695	1.3462220	12695.01886	4.460062	7.3605166	2000-2009 –> 2010-2019	2.5399593	1.1937373	22816.25692	8.115607	6	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + phosphate_star	3695	1.3479653	12702.58193	2.187835	7.1750656	2000-2009 –> 2010-2019	2.5462325	1.1982673	22845.81078	4.060517	7	14
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3695	1.6374434	14142.23170	671.253976	17.4773754	2000-2009 –> 2010-2019	3.2747101	1.6372667	26264.62896	1141.470422	8	16
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	3695	1.6517496	14204.51705	3.938918	14.4164803	2000-2009 –> 2010-2019	3.4504679	1.7987183	26920.60277	6.924876	9	18
Indo-Pacific	(27.75,27.85]	2	cstar_tref ~ temp + aou	3695	1.6762988	14311.54308	1.080350	13.9832045	2000-2009 –> 2010-2019	3.4871575	1.8108587	27068.23618	2.109737	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4172	1.0046468	11892.30620	458.058014	9.8742700	1982-1999 –> 2000-2009	2.2060190	1.2013722	21411.76056	854.899455	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4172	1.0131154	11960.34649	4.558058	9.3841186	1982-1999 –> 2000-2009	2.2195849	1.2064696	21502.91659	11.176038	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4172	1.0182223	12002.30094	454.054061	10.1922170	1982-1999 –> 2000-2009	2.2244215	1.2061992	21543.54180	779.726243	4	6
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	4172	1.0250814	12056.32101	4.174846	9.7295735	1982-1999 –> 2000-2009	2.2430598	1.2179784	21653.20987	7.929224	6	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4172	1.0056983	11899.03477	4.316007	10.0564326	1982-1999 –> 2000-2009	2.2508878	1.2451895	21628.99317	10.589494	2	7
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	4172	1.0200924	12015.61201	3.471139	10.4869496	1982-1999 –> 2000-2009	2.2946561	1.2745637	21881.88198	6.577673	5	11
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4172	1.2863615	13952.79014	64.341913	14.6168995	1982-1999 –> 2000-2009	2.9822497	1.6958881	25515.25494	126.828008	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	4172	1.3004114	14041.43044	62.706669	15.0540374	1982-1999 –> 2000-2009	3.1095625	1.8091511	25985.40595	124.181610	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4172	1.9018206	17215.24336	287.928050	10.5558817	1982-1999 –> 2000-2009	3.9065963	2.0047757	29770.28377	554.247310	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4172	1.9975509	17623.01931	56.916244	7.4920107	1982-1999 –> 2000-2009	4.0045252	2.0069743	30182.56146	115.059589	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5181	0.8698578	13272.31349	659.134996	4.3641946	2000-2009 –> 2010-2019	1.8745046	1.0046468	25164.61969	1117.193010	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5181	0.8698932	13270.73568	2.591316	4.3833111	2000-2009 –> 2010-2019	1.8755915	1.0056983	25169.77046	6.907323	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5181	0.8733613	13311.96421	658.376502	4.3443656	2000-2009 –> 2010-2019	1.8915835	1.0182223	25314.26515	1112.430563	3	7
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	5181	0.8733768	13310.14819	2.463585	4.3538576	2000-2009 –> 2010-2019	1.8934692	1.0200924	25325.76020	5.934724	4	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5181	0.8808229	13400.11628	3.032305	5.5813634	2000-2009 –> 2010-2019	1.8939382	1.0131154	25360.46277	7.590363	5	8
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	5181	0.8840193	13435.65132	2.946466	5.3255887	2000-2009 –> 2010-2019	1.9091007	1.0250814	25491.97234	7.121312	6	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	5181	0.9866011	14575.26365	102.427904	9.1996362	2000-2009 –> 2010-2019	2.2729627	1.2863615	28528.05379	166.769817	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	5181	0.9880800	14588.78387	98.537827	9.0781800	2000-2009 –> 2010-2019	2.2884914	1.3004114	28630.21431	161.244497	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5181	1.7330303	20412.80926	422.394650	12.8671003	2000-2009 –> 2010-2019	3.6348508	1.9018206	37628.05261	710.322700	13	22
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + temp + aou	5181	1.4815416	18786.16873	2.214785	14.4953827	2000-2009 –> 2010-2019	3.7468325	2.2652909	37458.70735	4.983617	9	22
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7839	1.0176664	22534.67344	439.648675	7.0526893	1982-1999 –> 2000-2009	2.1358397	1.1181734	40184.64947	753.477781	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7839	1.0242477	22633.73739	15.834962	6.8631213	1982-1999 –> 2000-2009	2.2250318	1.2007841	41102.98247	26.997324	2	5
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7839	1.1460845	24395.83493	396.967612	8.5366001	1982-1999 –> 2000-2009	2.3461019	1.2000174	42857.72113	701.809299	4	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7839	1.0584025	23148.01303	11.798426	6.4168539	1982-1999 –> 2000-2009	2.3814506	1.3230481	42734.47104	22.122384	3	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	7839	1.1477921	24417.17653	14.705109	8.7070879	1982-1999 –> 2000-2009	2.4472734	1.2994813	43794.54906	25.864835	5	9
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	7839	1.1537990	24499.01263	10.565280	8.1003019	1982-1999 –> 2000-2009	2.5918042	1.4380052	45043.46844	18.855423	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7839	1.4478860	28060.61817	335.135450	6.3094692	1982-1999 –> 2000-2009	3.1534090	1.7055230	50572.89866	624.947218	9	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	7839	1.4862965	28469.11261	5.219749	6.5287858	1982-1999 –> 2000-2009	3.2051266	1.7188301	51068.94356	9.586743	12	20
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	7839	1.4679809	28274.71265	4.897901	6.3996772	1982-1999 –> 2000-2009	3.2121646	1.7441837	51043.25750	8.742396	11	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	7839	1.3263377	26685.92334	82.582746	7.9155505	1982-1999 –> 2000-2009	3.2948477	1.9685099	50850.51738	170.708771	7	17
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	9093	0.6964785	19240.60740	573.290891	7.2381798	2000-2009 –> 2010-2019	1.7141449	1.0176664	41775.28084	1012.939566	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	9093	0.6969388	19250.62133	8.689577	7.0880384	2000-2009 –> 2010-2019	1.7211865	1.0242477	41884.35872	24.524539	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	9093	0.7167666	19760.78610	6.471216	6.0787217	2000-2009 –> 2010-2019	1.7751691	1.0584025	42908.79913	18.269642	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	9093	0.8321233	22474.69005	555.664730	7.6305336	2000-2009 –> 2010-2019	1.9782078	1.1460845	46870.52499	952.632342	4	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	9093	0.8349367	22534.07224	8.480218	8.0574047	2000-2009 –> 2010-2019	1.9827287	1.1477921	46951.24877	23.185328	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	9093	0.8370726	22580.53754	6.161954	6.9844123	2000-2009 –> 2010-2019	1.9908716	1.1537990	47079.55017	16.727234	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	9093	0.9104658	24110.98835	112.444001	8.0383785	2000-2009 –> 2010-2019	2.2368035	1.3263377	50796.91169	195.026747	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	9093	0.9643532	25154.70759	112.351327	7.0457662	2000-2009 –> 2010-2019	2.3046371	1.3402839	52002.62119	194.647901	8	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	9093	1.1293183	28028.49092	464.972054	7.3411868	2000-2009 –> 2010-2019	2.5772043	1.4478860	56089.10909	800.107505	9	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	9093	1.1296271	28031.46324	76.500779	7.1389335	2000-2009 –> 2010-2019	2.5851005	1.4554734	56172.02405	130.837568	10	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5262	0.6729286	10778.18409	566.905661	7.3449750	1982-1999 –> 2000-2009	1.4975624	0.8246338	20081.28941	922.475363	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5262	0.6850629	10964.26213	23.225979	7.4258056	1982-1999 –> 2000-2009	1.5147434	0.8296806	20311.59133	48.323324	3	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5262	0.6743335	10798.13298	19.864863	7.3602419	1982-1999 –> 2000-2009	1.5261119	0.8517783	20344.60137	40.286304	2	7
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5262	0.6873736	10999.70066	350.026719	7.9275675	1982-1999 –> 2000-2009	1.5348864	0.8475128	20508.13450	574.879596	4	7
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	5262	0.7070656	11294.95563	9.887300	8.5436836	1982-1999 –> 2000-2009	1.5629088	0.8558432	20875.49263	16.513701	5	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	5262	0.7274390	11593.90824	11.037562	8.7181741	1982-1999 –> 2000-2009	1.5749525	0.8475135	21100.34830	18.463931	6	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	5262	0.7637348	12108.32630	80.956669	6.8457010	1982-1999 –> 2000-2009	1.8655055	1.1017707	23604.45991	178.692934	7	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5262	1.0111181	15061.26985	566.883964	7.9926087	1982-1999 –> 2000-2009	2.0094484	0.9983304	25810.48846	792.890442	10	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate_star	5262	0.9683777	14604.74062	12.088589	8.9558975	1982-1999 –> 2000-2009	2.0605493	1.0921716	26032.58008	19.913652	9	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	5262	0.7841325	12383.71160	71.308845	5.5118859	1982-1999 –> 2000-2009	2.0754385	1.2913060	25080.42552	153.873304	8	21
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7396	0.4636969	9634.93006	625.693435	5.1219988	2000-2009 –> 2010-2019	1.1366255	0.6729286	20413.11415	1192.599096	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7396	0.4700778	9835.09371	337.295571	4.6250195	2000-2009 –> 2010-2019	1.1574515	0.6873736	20834.79438	687.322291	2	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7396	0.4873785	10369.71829	7.173718	6.3511594	2000-2009 –> 2010-2019	1.1617121	0.6743335	21167.85127	27.038581	3	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7396	0.5166857	11233.47797	9.104201	6.8125542	2000-2009 –> 2010-2019	1.2017486	0.6850629	22197.74009	32.330180	6	9
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	7396	0.5450023	12020.70975	4.882224	6.0595178	2000-2009 –> 2010-2019	1.2520679	0.7070656	23315.66538	14.769524	7	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	7396	0.4931633	10544.25227	62.608455	4.7960275	2000-2009 –> 2010-2019	1.2568981	0.7637348	22652.57858	143.565124	4	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	7396	0.4977472	10679.10799	62.250969	4.8771225	2000-2009 –> 2010-2019	1.2818797	0.7841325	23062.81960	133.559814	5	13
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	7396	0.5810027	12966.88398	5.638850	6.1462960	2000-2009 –> 2010-2019	1.3084417	0.7274390	24560.79222	16.676412	8	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7396	0.7574118	16891.00791	589.021624	8.0612545	2000-2009 –> 2010-2019	1.7685298	1.0111181	31952.27776	1155.905587	9	19
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	7396	0.7574299	16889.36282	4.878232	8.0991197	2000-2009 –> 2010-2019	1.7692936	1.0118637	31956.39064	19.122722	10	21
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7920	0.6784997	16346.10681	417.088135	12.3781591	1982-1999 –> 2000-2009	1.2566961	0.5781963	28731.42286	577.546625	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	7920	0.6790043	16355.88189	35.682230	12.5045274	1982-1999 –> 2000-2009	1.2789752	0.5999709	29264.21190	71.675985	2	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7920	0.6978825	16790.26766	116.450362	12.8227868	1982-1999 –> 2000-2009	1.2813742	0.5834916	29303.05763	202.128882	3	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7920	0.7448907	17822.82454	7.683677	13.1148849	1982-1999 –> 2000-2009	1.3860786	0.6411879	31674.75696	15.804395	4	8
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	7920	0.7763249	18475.54876	6.109049	12.8324982	1982-1999 –> 2000-2009	1.4434262	0.6671013	32888.15526	11.738276	7	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7920	0.7646000	18236.49224	10.578182	13.1057110	1982-1999 –> 2000-2009	1.4507997	0.6861996	33051.97321	21.013876	6	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + nitrate	7920	0.7528243	17988.63970	33.895180	11.2654212	1982-1999 –> 2000-2009	1.4613409	0.7085166	33256.65333	66.971322	5	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	7920	0.7984927	18921.52008	6.161034	12.6896259	1982-1999 –> 2000-2009	1.5145339	0.7160412	34339.56680	11.771611	8	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + phosphate_star	7920	0.8681468	20246.29775	6.069372	11.7577740	1982-1999 –> 2000-2009	1.7303899	0.8622431	38303.07066	11.252729	9	23
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ sal + phosphate_star	7920	0.9061874	20923.60115	5.606691	11.2051848	1982-1999 –> 2000-2009	1.8487424	0.9425550	40243.16163	9.346307	10	28
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	9857	0.4471915	12121.75246	306.642945	4.3171947	2000-2009 –> 2010-2019	1.1256913	0.6784997	28467.85928	723.731080	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	9857	0.4729234	13222.68033	34.116000	5.5489864	2000-2009 –> 2010-2019	1.1519277	0.6790043	29578.56223	69.798230	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	9857	0.5738586	17036.34423	80.612633	6.6233461	2000-2009 –> 2010-2019	1.2717411	0.6978825	33826.61189	197.062996	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	9857	0.6564400	19686.85941	4.634602	7.1156660	2000-2009 –> 2010-2019	1.4013307	0.7448907	37509.68396	12.318279	4	8
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + nitrate	9857	0.6799437	20378.37151	33.929735	4.7848996	2000-2009 –> 2010-2019	1.4327680	0.7528243	38367.01121	67.824916	6	11
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	9857	0.6664734	19983.89975	3.297744	6.8005242	2000-2009 –> 2010-2019	1.4427983	0.7763249	38459.44851	9.406792	5	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	9857	0.6930821	20757.66629	6.448866	7.1223590	2000-2009 –> 2010-2019	1.4576821	0.7646000	38994.15853	17.027048	7	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	9857	0.7030521	21037.23365	3.266075	6.6955403	2000-2009 –> 2010-2019	1.5015448	0.7984927	39958.75373	9.427109	8	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + phosphate_star	9857	0.7813313	23118.40647	3.182971	5.4777053	2000-2009 –> 2010-2019	1.6494781	0.8681468	43364.70422	9.252342	9	18
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ sal + phosphate_star	9857	0.8841802	25554.27201	2.998143	5.1472805	2000-2009 –> 2010-2019	1.7903676	0.9061874	46477.87316	8.604834	10	20
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1127	0.7762814	2639.48398	27.339231	2.8122993	1982-1999 –> 2000-2009	1.2726947	0.4964133	4351.67298	76.831028	1	2
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate_star	1127	0.7968772	2696.50620	27.001106	3.8876145	1982-1999 –> 2000-2009	1.3194868	0.5226096	4528.36862	76.082618	2	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1127	0.8211939	2766.25840	233.381299	2.7167382	1982-1999 –> 2000-2009	1.3294294	0.5082355	4534.13351	597.218409	3	5
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + phosphate_star	1127	0.8216070	2765.39194	16.860869	2.7727286	1982-1999 –> 2000-2009	1.3322787	0.5106717	4542.58162	26.017141	4	7
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate_star	1127	0.8234877	2770.54566	202.566951	3.0186159	1982-1999 –> 2000-2009	1.3672940	0.5438063	4696.47668	564.765446	5	12
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ aou + phosphate_star	1127	0.8258587	2775.02602	4.788532	3.3274862	1982-1999 –> 2000-2009	1.3704990	0.5446403	4702.58267	10.448622	6	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1127	0.8625868	2877.10229	24.497851	3.4951524	1982-1999 –> 2000-2009	1.3943730	0.5317862	4752.14952	63.771631	7	12
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + nitrate + phosphate_star	1127	0.8632682	2876.88210	18.851111	3.4650517	1982-1999 –> 2000-2009	1.3952431	0.5319749	4750.76869	26.087854	8	14
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + nitrate + phosphate_star	1127	0.8796736	2919.31476	19.776160	4.4815875	1982-1999 –> 2000-2009	1.4407678	0.5610942	4919.29142	57.489262	9	18
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + phosphate_star	1127	0.8798013	2917.64209	1.848863	4.5200620	1982-1999 –> 2000-2009	1.4424751	0.5626738	4922.26994	4.157824	10	20
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1619	0.3179923	896.65518	64.884124	1.6019846	2000-2009 –> 2010-2019	1.0942737	0.7762814	3536.13917	92.223355	1	2
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate_star	1619	0.3198980	914.00213	8.096489	1.6234683	2000-2009 –> 2010-2019	1.1167752	0.7968772	3610.50832	35.097594	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1619	0.3244586	961.83856	103.167027	1.6854924	2000-2009 –> 2010-2019	1.1456525	0.8211939	3728.09696	336.548326	3	6
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate_star	1619	0.3257313	972.51506	94.393760	1.6991668	2000-2009 –> 2010-2019	1.1492190	0.8234877	3743.06072	296.960711	4	9
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + phosphate_star	1619	0.3427174	1137.11338	43.707237	1.9112069	2000-2009 –> 2010-2019	1.1643243	0.8216070	3902.50532	60.568106	11	15
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ aou + phosphate_star	1619	0.3458557	1164.62958	1.650196	1.9545912	2000-2009 –> 2010-2019	1.1717144	0.8258587	3939.65560	6.438728	12	18
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1619	0.3259535	976.72322	67.076657	1.6598945	2000-2009 –> 2010-2019	1.1885403	0.8625868	3853.82552	91.574508	5	12
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + nitrate + phosphate_star	1619	0.3266248	981.38538	62.270331	1.6129737	2000-2009 –> 2010-2019	1.1898930	0.8632682	3858.26748	81.121442	6	14
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + nitrate + phosphate_star	1619	0.3277642	992.66092	5.774395	1.6774989	2000-2009 –> 2010-2019	1.2074378	0.8796736	3911.97568	25.550555	7	16
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + phosphate_star	1619	0.3292536	1005.34148	1.144279	1.6091649	2000-2009 –> 2010-2019	1.2090549	0.8798013	3922.98357	2.993142	8	18
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + nitrate	56	0.0013694	-569.53494	36.351364	0.0033795	1982-1999 –> 2000-2009	0.6501038	0.6487343	-269.59022	559.681207	7	8
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + nitrate	56	0.0008007	-629.64002	7.937995	0.0022086	1982-1999 –> 2000-2009	0.6783650	0.6775643	-316.91183	325.127700	1	3
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + phosphate_star	56	0.0015096	-558.61891	12.336862	0.0035473	1982-1999 –> 2000-2009	0.6945544	0.6930448	-239.24922	282.484979	9	12
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ aou + nitrate	56	0.0105251	-343.12604	1.389320	0.0306199	1982-1999 –> 2000-2009	0.7281434	0.7176183	-15.51243	197.396492	12	16
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + nitrate	56	0.0008008	-629.62571	5.582700	0.0022026	1982-1999 –> 2000-2009	0.7663105	0.7655097	-281.01853	213.863885	2	7
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + nitrate	56	0.0008009	-631.61787	4.436591	0.0021942	1982-1999 –> 2000-2009	0.7665042	0.7657034	-284.93631	7.594849	3	9
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + nitrate + phosphate_star	56	0.0008934	-617.37129	41.515703	0.0019575	1982-1999 –> 2000-2009	0.7829323	0.7820389	-262.48349	727.882269	5	13
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + aou	56	0.0035132	-464.01711	16.627819	0.0078569	1982-1999 –> 2000-2009	0.7831498	0.7796366	-110.03382	391.574302	11	18
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ nitrate + phosphate_star	56	0.0008941	-619.28297	34.972526	0.0019446	1982-1999 –> 2000-2009	0.8270189	0.8261248	-250.27180	94.089574	6	16
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	56	0.0008742	-619.80499	25.204242	0.0025419	1982-1999 –> 2000-2009	0.8281215	0.8272472	-248.39465	497.445422	4	15

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	11.4057939	2619.5740
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	10.8441964	2754.2283
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	9.3252624	7509.1855
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	10.2565915	8442.7229
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	6.9689407	7058.4964
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.3073837	6913.7949
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	6.6082302	10327.3265
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	6.7254319	9935.9802
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	5.5993330	13939.6131
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	6.7017196	12203.4531
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.4235680	17089.1776
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.1398571	17552.8471
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	5.8095164	22776.8819
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	7.6309054	25516.1186
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	6.4613866	13596.4986
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	7.8848842	16465.9691
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	9.0337507	44549.0542
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	10.5934804	53697.3243
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	4.9138081	29164.6558
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	6.1972544	32151.3978
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	3.9965725	13229.4530
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	4.3672804	15048.5927
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.6435948	9080.0668
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.9084300	12910.1609
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.0039109	2009.8352
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.1972344	3209.7739
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.0475524	2562.5712
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	0.9593352	2381.1497
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	23.4672094	44833.7082
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	23.1087642	67513.4527
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	22.3134903	40825.6445
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	25.0420250	47031.5439
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	17.3102272	34646.6858
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	19.9525336	38515.2882
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	12.0008539	39103.9029
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	13.7506093	46610.2933
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.3087124	45949.1847
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	9.7435462	54001.6122
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.8668630	54623.0081
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.1801353	63078.0065
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	4.6310892	50971.7741
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	4.5421755	60653.9538
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	2.6919758	18488.8292
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	2.6981177	23420.4564
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.7441563	24107.5810
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	2.3281325	28407.1879
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.6993050	45925.3459
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	2.0866054	48253.0429
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	1.7222107	22374.9411
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	1.3294648	24211.4024
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	1.4652357	33105.6030
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	1.4225330	37500.4667
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.3664542	4670.0296
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.1636885	3800.7018
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	0.7505204	-227.8402

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
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
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1682579	Donghe-Zhu	2021-07-31
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3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
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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
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e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
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89c3e58	Donghe-Zhu	2021-03-03
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7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
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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
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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
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c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

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

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

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	nitrate	phosphate_star	sal	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	8	10	6	6	5
(26,26.5]	10	7	7	6	6
(26.5,26.75]	9	8	7	7	6
(26.75,27]	7	7	7	8	5
(27,27.25]	8	8	8	8	5
(27.25,27.5]	8	7	8	8	6
(27.5,27.75]	5	10	6	8	6
(27.75,27.85]	6	10	8	6	5
(27.85,27.95]	6	10	6	8	5
(27.95,28.05]	6	10	6	8	5
(28.05,28.1]	8	10	6	6	5
(28.1,28.15]	8	9	7	7	6
(28.15,28.2]	7	9	6	6	5
(28.2, Inf]	8	7	7	7	8
total	104.00	122.00	95.00	99.00	78.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	10	7	6	6
(26,26.5]	9	8	7	6	7
(26.5,26.75]	9	8	7	7	6
(26.75,27]	6	6	8	9	4
(27,27.25]	8	8	8	8	5
(27.25,27.5]	7	8	8	8	6
(27.5,27.75]	5	10	6	8	6
(27.75,27.85]	6	10	8	5	6
(27.85,27.95]	6	10	8	6	5
(27.95,28.05]	6	9	9	6	6
(28.05,28.1]	8	10	6	6	5
(28.1,28.15]	8	9	7	7	6
(28.15,28.2]	7	9	6	6	5
(28.2, Inf]	8	7	7	7	8
total	100.00	122.00	102.00	95.00	81.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	9	8	7	6	7
(26,26.5]	8	6	9	7	7
(26.5,26.75]	6	8	8	8	7
(26.75,27]	10	6	6	7	7
(27,27.25]	7	7	10	6	6
(27.25,27.5]	5	6	10	8	6
(27.5,27.75]	7	7	6	6	10
(27.75,27.85]	8	7	7	6	9
(27.85,27.95]	8	8	7	6	8
(27.95,28.05]	7	7	9	7	7
(28.05,28.1]	7	7	8	9	6
(28.1,28.2]	6	6	8	10	5
(28.2,28.3]	6	6	10	5	4
(28.3, Inf]	5	7	4	5	6
total	99.00	96.00	109.00	96.00	95.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	7	8	6	8
(26,26.5]	8	7	8	7	7
(26.5,26.75]	6	8	5	10	6
(26.75,27]	10	5	6	8	6
(27,27.25]	7	8	9	7	6
(27.25,27.5]	6	6	9	9	6
(27.5,27.75]	7	7	6	6	10
(27.75,27.85]	8	6	6	5	9
(27.85,27.95]	8	7	7	6	9
(27.95,28.05]	8	8	7	6	8
(28.05,28.1]	8	7	8	8	6
(28.1,28.2]	6	6	8	10	5
(28.2,28.3]	6	6	10	5	4
total	96.00	88.00	97.00	93.00	90.00

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
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

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

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

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

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

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

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