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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File paths: relative

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Repository version: e5a8d19

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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	78cbc18	Donghe-Zhu	2021-08-01	Build site.
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html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
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html	9baa3b2	Donghe-Zhu	2021-06-06	debug
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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, oxygen, aou, nitrate, silicate, phosphate

# 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:

• 112

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	312	4.7137642	1866.921	425.239793	13.814871	1982-1999 –> 2000-2009	8.629890	3.9161254	4314.173	686.339726	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	312	4.7775152	1875.304	370.073632	12.719290	1982-1999 –> 2000-2009	8.887335	4.1098197	4364.750	508.591861	2	5
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	312	4.8394065	1881.336	352.912212	13.075010	1982-1999 –> 2000-2009	9.103759	4.2643521	4401.042	484.580955	3	8
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	312	5.1257878	1919.211	424.203845	14.674527	1982-1999 –> 2000-2009	9.144064	4.0182759	4388.969	692.273643	5	7
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	312	4.9995280	1903.648	368.148481	14.420583	1982-1999 –> 2000-2009	9.328344	4.3288162	4438.467	508.427982	4	10
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	312	5.2904422	1936.940	352.901763	13.975311	1982-1999 –> 2000-2009	9.628508	4.3380654	4471.625	488.303205	7	14
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	312	5.5329795	1966.911	416.906603	15.644308	1982-1999 –> 2000-2009	9.762136	4.2291568	4481.374	692.396181	8	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	312	5.2762861	1937.268	376.292761	16.452438	1982-1999 –> 2000-2009	9.805113	4.5288264	4511.565	517.717568	6	14
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	312	5.7799471	1992.160	351.582956	15.937964	1982-1999 –> 2000-2009	10.319694	4.5397471	4566.562	491.296974	9	18
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	312	7.5295080	2159.167	438.224832	25.257953	1982-1999 –> 2000-2009	14.292861	6.7633530	5083.987	635.456128	17	29
Atlantic	(-Inf,26]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	485	4.8180345	2915.565	230.733966	23.373837	2000-2009 –> 2010-2019	9.531799	4.7137642	4782.487	655.973759	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	485	5.0739715	2965.771	233.387387	18.278177	2000-2009 –> 2010-2019	10.199759	5.1257878	4884.982	657.591232	2	7
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	485	5.5300934	3049.269	242.219274	38.878222	2000-2009 –> 2010-2019	10.307609	4.7775152	4924.573	612.292906	4	6
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	485	5.5317398	3047.558	188.992929	38.556815	2000-2009 –> 2010-2019	10.371146	4.8394065	4928.894	541.905141	5	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	485	5.6273333	3066.177	221.407747	37.004848	2000-2009 –> 2010-2019	10.626861	4.9995280	4969.825	589.556228	6	10
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	485	5.3567793	3018.382	229.449989	18.779472	2000-2009 –> 2010-2019	10.889759	5.5329795	4985.293	646.356591	3	11
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	485	5.7435909	3086.012	201.263341	34.629325	2000-2009 –> 2010-2019	11.019877	5.2762861	5023.281	577.556102	8	14
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	485	5.7410932	3083.591	190.077537	33.080205	2000-2009 –> 2010-2019	11.031535	5.2904422	5020.531	542.979300	7	14
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	485	6.0318982	3131.520	185.972329	26.488287	2000-2009 –> 2010-2019	11.811845	5.7799471	5123.680	537.555285	10	19
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	485	5.9592325	3121.764	147.993392	19.728936	2000-2009 –> 2010-2019	13.488741	7.5295080	5280.931	586.218224	9	26
Atlantic	(26,26.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	269	5.9332894	1735.340	300.142661	17.309170	1982-1999 –> 2000-2009	12.783946	6.8506564	3969.280	452.074119	7	12
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	269	6.0420544	1745.113	285.307926	17.119747	1982-1999 –> 2000-2009	12.805664	6.7636094	3970.562	386.429165	11	14
Atlantic	(26,26.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	269	6.0883115	1749.216	284.112488	16.900443	1982-1999 –> 2000-2009	12.847066	6.7587542	3974.188	383.198337	12	13
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	269	5.6218027	1706.328	118.088509	14.567048	1982-1999 –> 2000-2009	13.033494	7.4116908	3992.534	143.267947	2	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	269	5.6084134	1705.045	392.525743	14.799651	1982-1999 –> 2000-2009	13.047935	7.4395219	3993.740	956.547279	1	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	269	5.6440981	1708.457	111.577551	14.359101	1982-1999 –> 2000-2009	13.048918	7.4048196	3994.048	136.442988	3	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	269	6.1223433	1752.215	292.770828	16.019428	1982-1999 –> 2000-2009	13.063525	6.9411817	3994.872	395.144534	16	23
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	269	6.5293041	1786.839	272.353638	19.781454	1982-1999 –> 2000-2009	13.290672	6.7613674	4012.067	344.044955	29	31
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	269	6.5059279	1784.909	291.559869	16.513451	1982-1999 –> 2000-2009	13.441964	6.9360359	4027.073	391.162303	28	34
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	269	6.6825480	1797.320	255.809133	19.630864	1982-1999 –> 2000-2009	13.464269	6.7817213	4022.544	326.005944	41	45
Atlantic	(26,26.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	400	4.9698175	2431.857	130.927931	11.827932	2000-2009 –> 2010-2019	10.903107	5.9332894	4167.198	431.070592	3	10
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	400	4.9639464	2430.912	70.556686	12.648091	2000-2009 –> 2010-2019	11.006001	6.0420544	4176.025	355.864612	1	12
Atlantic	(26,26.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	400	4.9646858	2431.031	70.014881	12.738221	2000-2009 –> 2010-2019	11.052997	6.0883115	4180.247	354.127369	2	14
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	400	5.7227002	2544.703	424.384202	14.895954	2000-2009 –> 2010-2019	11.331114	5.6084134	4249.748	816.909945	9	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	400	5.7246305	2544.973	20.530209	15.336120	2000-2009 –> 2010-2019	11.346433	5.6218027	4251.301	138.618718	10	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	400	5.2387826	2474.022	72.129797	13.701314	2000-2009 –> 2010-2019	11.361126	6.1223433	4226.237	364.900625	7	23
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	400	5.7280477	2545.451	21.443748	15.452308	2000-2009 –> 2010-2019	11.372146	5.6440981	4253.908	133.021299	11	14
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	400	4.9708591	2432.025	50.481836	11.949756	2000-2009 –> 2010-2019	11.500163	6.5293041	4218.864	322.835474	4	33
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	400	5.0140389	2436.944	48.204460	13.011530	2000-2009 –> 2010-2019	11.696587	6.6825480	4234.264	304.013593	5	46
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	400	5.2296363	2472.624	71.459547	13.518905	2000-2009 –> 2010-2019	11.735564	6.5059279	4257.533	363.019416	6	34
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	200	5.4873590	1262.554	141.749579	18.937585	1982-1999 –> 2000-2009	10.010946	4.5235871	3513.733	168.842107	2	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	200	5.4869407	1262.524	144.389950	18.926246	1982-1999 –> 2000-2009	10.014725	4.5277839	3514.411	172.624306	1	12
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	200	5.5018892	1263.612	347.713362	15.506930	1982-1999 –> 2000-2009	10.024794	4.5229047	3514.675	743.984928	3	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	200	5.6234483	1272.353	303.308543	15.981369	1982-1999 –> 2000-2009	10.142105	4.5186572	3522.699	612.092026	5	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	200	5.6037578	1268.950	144.129054	18.741902	1982-1999 –> 2000-2009	10.171432	4.5676744	3525.539	171.011469	4	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	200	5.7392963	1280.510	375.706279	11.699869	1982-1999 –> 2000-2009	10.336072	4.5967756	3543.950	760.791955	6	24
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	200	5.7461498	1280.987	370.040414	11.665901	1982-1999 –> 2000-2009	10.343746	4.5975958	3544.564	745.659863	7	26
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	200	5.9139085	1292.498	226.417385	12.520423	1982-1999 –> 2000-2009	10.411930	4.4980217	3539.346	267.571197	12	13
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	200	5.9314345	1293.682	233.847713	20.378048	1982-1999 –> 2000-2009	10.431215	4.4997801	3540.829	640.755296	14	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	200	5.8432308	1285.689	130.119099	18.747150	1982-1999 –> 2000-2009	10.433822	4.5905910	3546.101	155.334284	11	28
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	297	5.4203849	1860.809	34.386769	15.725465	2000-2009 –> 2010-2019	10.907744	5.4873590	3123.363	176.136349	3	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	297	5.4228907	1861.083	31.224928	15.692268	2000-2009 –> 2010-2019	10.909831	5.4869407	3123.607	175.614878	5	6
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	297	5.4583762	1864.957	90.150052	15.634292	2000-2009 –> 2010-2019	10.960265	5.5018892	3128.569	437.863414	10	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	297	5.4770226	1864.983	19.337478	15.788241	2000-2009 –> 2010-2019	11.080780	5.6037578	3133.933	163.466532	14	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	297	5.4679293	1865.996	88.014293	15.778289	2000-2009 –> 2010-2019	11.091378	5.6234483	3138.350	391.322836	12	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	297	5.4114928	1859.833	84.348315	15.928158	2000-2009 –> 2010-2019	11.150789	5.7392963	3140.343	460.054594	2	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	297	5.4101228	1859.683	82.447611	15.941690	2000-2009 –> 2010-2019	11.156273	5.7461498	3140.670	452.488024	1	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	297	5.4303841	1861.903	459.603300	15.724417	2000-2009 –> 2010-2019	11.156482	5.7260980	3141.492	1442.669892	7	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	297	5.4611963	1863.264	307.137447	15.977764	2000-2009 –> 2010-2019	11.231034	5.7698374	3143.897	928.388798	11	20
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	297	5.4484522	1861.876	21.431277	16.255454	2000-2009 –> 2010-2019	11.243166	5.7947138	3144.230	151.869563	9	19
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	491	5.5316042	3087.087	118.142097	13.251884	1982-1999 –> 2000-2009	10.392886	4.8612822	7337.427	150.326495	1	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	491	5.5654131	3093.071	119.600994	13.190867	1982-1999 –> 2000-2009	10.432229	4.8668159	7345.017	151.801576	2	7
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	491	5.6105860	3099.009	106.306287	13.507275	1982-1999 –> 2000-2009	10.474457	4.8638710	7348.101	136.487606	3	7
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	491	5.6508244	3106.027	106.448810	13.834148	1982-1999 –> 2000-2009	10.519815	4.8689902	7356.604	136.598543	4	10
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	491	5.7175456	3119.554	590.342650	13.305462	1982-1999 –> 2000-2009	10.786720	5.0691741	7429.022	1379.015658	5	27
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	491	5.7214435	3118.223	116.449792	13.448609	1982-1999 –> 2000-2009	10.792851	5.0714080	7426.313	148.365720	6	29
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	491	6.0642209	3177.360	435.700451	20.438921	1982-1999 –> 2000-2009	10.899794	4.8355735	7420.213	1000.202134	16	17
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	491	5.9256976	3154.669	166.849818	15.220951	1982-1999 –> 2000-2009	10.911257	4.9855588	7440.652	209.495184	8	26
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	491	5.9993050	3166.792	691.983804	17.850352	1982-1999 –> 2000-2009	10.922709	4.9234041	7435.061	1490.682215	12	21
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	491	6.0835739	3178.489	428.233983	19.997317	1982-1999 –> 2000-2009	10.933991	4.8504174	7423.670	903.371303	17	19
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	542	5.1137611	3321.147	433.313474	16.053676	2000-2009 –> 2010-2019	10.692374	5.5786133	6416.544	1209.893871	1	4
Atlantic	(26.75,27]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	542	5.1298572	3324.554	414.534193	16.340616	2000-2009 –> 2010-2019	10.763358	5.6335012	6429.565	1173.935407	2	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	542	5.2646591	3352.671	22.907937	17.477127	2000-2009 –> 2010-2019	10.796263	5.5316042	6439.758	141.050034	10	11
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	542	5.2664012	3353.030	23.734404	17.513246	2000-2009 –> 2010-2019	10.831814	5.5654131	6446.100	143.335398	13	15
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	542	5.2658504	3350.916	21.427168	17.548856	2000-2009 –> 2010-2019	10.876436	5.6105860	6449.925	127.733456	12	16
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	542	5.2674704	3351.250	18.932663	17.568934	2000-2009 –> 2010-2019	10.918295	5.6508244	6457.276	125.381473	14	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	542	5.2388939	3347.353	348.187499	18.276879	2000-2009 –> 2010-2019	10.956440	5.7175456	6466.907	938.530149	5	12
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	542	5.3010290	3358.134	21.526221	18.468739	2000-2009 –> 2010-2019	11.022472	5.7214435	6476.357	137.976013	16	24
Atlantic	(26.75,27]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	542	5.3064129	3361.234	225.792659	18.949305	2000-2009 –> 2010-2019	11.150415	5.8440024	6502.270	653.713271	17	26
Atlantic	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	542	5.3181009	3361.619	19.036050	18.782335	2000-2009 –> 2010-2019	11.249612	5.9315112	6515.251	128.408912	18	29
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	813	4.8977554	4904.545	833.807433	20.628928	1982-1999 –> 2000-2009	8.301153	3.4033972	12209.905	1621.292952	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	813	4.9142523	4910.013	576.616267	17.348681	1982-1999 –> 2000-2009	8.416362	3.5021092	12294.227	1307.986861	2	4
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	813	5.0272490	4944.977	342.394980	17.919124	1982-1999 –> 2000-2009	8.547068	3.5198193	12341.104	767.142779	3	6
Atlantic	(27,27.25]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	813	5.1587161	4988.952	533.164158	15.852121	1982-1999 –> 2000-2009	8.790570	3.6318542	12473.497	1212.516814	4	9
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	813	5.2979254	5032.249	858.786672	18.813699	1982-1999 –> 2000-2009	8.884746	3.5868206	12482.381	1629.693326	6	10
Atlantic	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	813	5.3541842	5047.424	334.695738	16.380572	1982-1999 –> 2000-2009	9.026057	3.6718726	12560.192	744.857726	8	14
Atlantic	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	813	5.2577642	5017.876	711.010060	14.381578	1982-1999 –> 2000-2009	9.475709	4.2179449	12913.030	1212.344850	5	16
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	813	5.3436068	5046.209	63.096497	13.436295	1982-1999 –> 2000-2009	9.513467	4.1698605	12911.741	105.516682	7	16
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	813	5.4152057	5067.851	63.931142	13.833542	1982-1999 –> 2000-2009	9.596214	4.1810081	12940.747	106.468099	10	20
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	813	5.3865327	5057.219	62.760471	13.200432	1982-1999 –> 2000-2009	9.619464	4.2329318	12962.155	89.805187	9	21
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1113	4.6607159	6598.748	795.888272	14.383792	2000-2009 –> 2010-2019	9.574968	4.9142523	11508.761	1372.504539	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1113	4.7085196	6619.463	593.841397	14.686830	2000-2009 –> 2010-2019	9.735769	5.0272490	11564.440	936.236377	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1113	4.7388584	6635.760	742.185622	14.836754	2000-2009 –> 2010-2019	9.897574	5.1587161	11624.712	1275.349780	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1113	4.8867302	6702.158	342.377641	15.333931	2000-2009 –> 2010-2019	10.144494	5.2577642	11720.034	1053.387701	18	22
Atlantic	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	1113	4.8151536	6669.313	578.527497	15.335524	2000-2009 –> 2010-2019	10.169338	5.3541842	11716.737	913.223235	6	12
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1113	4.8412691	6683.353	29.466957	15.365712	2000-2009 –> 2010-2019	10.184876	5.3436068	11729.562	92.563454	7	12
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1113	4.8697236	6694.398	12.810226	15.354013	2000-2009 –> 2010-2019	10.256256	5.3865327	11751.616	75.570697	16	23
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1113	4.8466393	6685.821	29.525434	15.424446	2000-2009 –> 2010-2019	10.261845	5.4152057	11753.672	93.456575	11	19
Atlantic	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1113	4.8754555	6697.016	12.892731	15.414345	2000-2009 –> 2010-2019	10.329981	5.4545256	11774.631	76.306701	17	26
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1113	4.7683205	6649.556	625.915741	15.115916	2000-2009 –> 2010-2019	10.397208	5.6288876	11780.335	1315.345103	4	14
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1634	4.0669232	9235.725	694.203629	11.358508	1982-1999 –> 2000-2009	7.229202	3.1622791	23653.302	1440.764326	1	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1634	4.0995780	9259.860	573.622492	11.156072	1982-1999 –> 2000-2009	7.263573	3.1639946	23678.477	831.046508	2	11
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1634	4.2867323	9407.746	186.206932	12.053814	1982-1999 –> 2000-2009	7.264628	2.9778958	23488.657	439.600799	4	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1634	4.2699380	9394.918	63.502460	12.108251	1982-1999 –> 2000-2009	7.434902	3.1649644	23817.252	100.364220	3	13
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1634	4.4300463	9515.215	192.171596	12.891639	1982-1999 –> 2000-2009	7.458210	3.0281635	23689.934	454.862727	6	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1634	4.5238758	9583.709	217.107376	16.316091	1982-1999 –> 2000-2009	7.466000	2.9421244	23596.896	481.217546	9	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	1634	4.3195151	9430.643	58.098402	11.997899	1982-1999 –> 2000-2009	7.485241	3.1657263	23852.326	76.035643	5	17
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1634	4.4372457	9520.522	62.913207	12.514036	1982-1999 –> 2000-2009	7.622021	3.1847757	23977.825	104.277942	7	21
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1634	4.4709044	9543.218	56.230728	12.393760	1982-1999 –> 2000-2009	7.656334	3.1854294	23999.671	74.245857	8	23
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	1634	4.5426372	9595.234	53.757677	15.809905	1982-1999 –> 2000-2009	7.708177	3.1655393	24016.587	66.981256	10	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2410	4.3955429	13989.733	503.389571	13.715827	2000-2009 –> 2010-2019	8.462466	4.0669232	23225.458	1197.593200	2	3
Atlantic	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2410	4.4087789	14002.225	192.386400	13.401660	2000-2009 –> 2010-2019	8.508357	4.0995780	23262.085	766.008892	9	11
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2410	4.4162129	14012.345	23.927778	13.358552	2000-2009 –> 2010-2019	8.686151	4.2699380	23407.263	87.430239	12	15
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2410	4.4085071	14003.928	246.596135	14.161172	2000-2009 –> 2010-2019	8.695239	4.2867323	23411.674	432.803067	7	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2410	4.4162155	14010.348	10.049320	13.353739	2000-2009 –> 2010-2019	8.735731	4.3195151	23440.991	68.147722	13	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	2410	4.4087749	14004.221	302.359037	16.125596	2000-2009 –> 2010-2019	8.838821	4.4300463	23519.436	494.530633	8	14
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2410	4.4447731	14043.417	26.446948	13.418057	2000-2009 –> 2010-2019	8.882019	4.4372457	23563.938	89.360155	17	24
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2410	4.4448826	14041.535	11.429581	13.386761	2000-2009 –> 2010-2019	8.915787	4.4709044	23584.753	67.660309	18	26
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2410	4.4012583	13995.996	414.544846	14.460899	2000-2009 –> 2010-2019	8.925134	4.5238758	23579.705	631.652222	5	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2410	4.4162955	14010.436	9.409679	13.331814	2000-2009 –> 2010-2019	8.958933	4.5426372	23605.670	63.167356	14	24
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3091	5.3564812	19161.174	207.326882	31.273325	1982-1999 –> 2000-2009	8.796426	3.4399445	37867.415	640.672032	1	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3091	5.4248899	19239.625	20.347496	31.484499	1982-1999 –> 2000-2009	8.906333	3.4814430	38030.311	44.063923	4	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	3091	5.3647598	19170.721	140.006120	32.181381	1982-1999 –> 2000-2009	8.958153	3.5933933	38184.287	914.620548	2	10
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3091	5.5290683	19357.217	24.480059	31.643746	1982-1999 –> 2000-2009	9.033220	3.5041520	38193.688	50.925930	7	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3091	5.4172776	19228.944	119.160615	31.064925	1982-1999 –> 2000-2009	9.059734	3.6424562	38336.009	296.655381	3	16
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3091	5.4477012	19265.566	74.579089	32.019426	1982-1999 –> 2000-2009	9.062874	3.6151724	38321.683	202.655937	5	15
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3091	5.6076883	19444.503	81.022476	34.242359	1982-1999 –> 2000-2009	9.109564	3.5018761	38276.398	354.308952	12	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	3091	5.4728786	19292.071	15.772002	31.136764	1982-1999 –> 2000-2009	9.117848	3.6449693	38403.992	30.753108	6	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	3091	5.5421807	19371.861	77.448541	32.112325	1982-1999 –> 2000-2009	9.191927	3.6497465	38495.006	213.635724	8	26
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	3091	5.6163190	19452.010	17.238801	33.732898	1982-1999 –> 2000-2009	9.212238	3.5959187	38468.523	28.902533	13	22
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3609	5.4339535	22473.568	327.188654	28.395866	2000-2009 –> 2010-2019	10.790435	5.3564812	41634.742	534.515536	9	10
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3609	5.2949444	22286.518	242.787758	44.952891	2000-2009 –> 2010-2019	10.902633	5.6076883	41731.020	323.810235	6	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3609	5.5192415	22585.978	17.087774	28.028948	2000-2009 –> 2010-2019	10.944131	5.4248899	41825.603	37.435270	10	14
Atlantic	(27.5,27.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	3609	5.6224838	22719.750	615.287599	30.628486	2000-2009 –> 2010-2019	10.987244	5.3647598	41890.470	755.293718	13	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3609	5.6277280	22724.479	124.669825	29.525247	2000-2009 –> 2010-2019	11.045006	5.4172776	41953.423	243.830440	14	17
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3609	5.5483761	22623.979	19.092254	27.903526	2000-2009 –> 2010-2019	11.077444	5.5290683	41981.197	43.572313	11	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3609	5.6464917	22750.505	126.127395	31.886137	2000-2009 –> 2010-2019	11.094193	5.4477012	42016.070	200.706483	15	20
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	3609	5.6663807	22773.885	9.051959	29.464934	2000-2009 –> 2010-2019	11.139259	5.4728786	42065.955	24.823962	21	27
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	3609	5.0654129	21966.639	130.210543	44.233407	2000-2009 –> 2010-2019	11.140702	6.0752886	41906.264	211.551865	1	27
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	3609	5.6550386	22761.422	131.975889	33.156363	2000-2009 –> 2010-2019	11.197219	5.5421807	42133.283	209.424431	17	25
Atlantic	(27.75,27.85]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	1443	3.6720424	7863.015	66.372033	34.169747	1982-1999 –> 2000-2009	7.028463	3.3564207	14209.607	590.682974	1	3
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1443	3.8679677	8013.033	65.527259	34.920931	1982-1999 –> 2000-2009	7.259919	3.3919517	14384.982	210.569336	3	8
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1443	3.9436515	8068.958	68.526660	35.714160	1982-1999 –> 2000-2009	7.372759	3.4291079	14467.140	238.498979	5	13
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	1443	3.8631280	8009.420	90.602581	39.448212	1982-1999 –> 2000-2009	7.440194	3.5770659	14509.323	613.388945	2	15
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1443	4.0909194	8174.766	97.012100	33.205957	1982-1999 –> 2000-2009	7.440681	3.3497616	14516.575	466.960974	11	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	1443	3.8702038	8012.701	63.793674	39.281611	1982-1999 –> 2000-2009	7.453434	3.5832298	14514.750	586.574983	4	21
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1443	4.1485050	8213.107	66.098580	32.870565	1982-1999 –> 2000-2009	7.516549	3.3680437	14566.023	151.670414	13	16
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1443	4.0834188	8169.470	75.708253	39.299707	1982-1999 –> 2000-2009	7.535911	3.4524925	14584.018	115.216922	10	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1443	3.9597263	8080.697	89.257083	39.000772	1982-1999 –> 2000-2009	7.540964	3.5812380	14583.408	362.514929	6	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1443	4.1714297	8231.012	27.491788	33.813905	1982-1999 –> 2000-2009	7.555688	3.3842583	14597.492	66.778867	14	18
Atlantic	(27.75,27.85]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	1517	5.4088256	9440.549	322.280673	23.313746	2000-2009 –> 2010-2019	9.080868	3.6720424	17303.564	388.652706	2	3
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1517	5.4821741	9481.416	119.464333	23.115065	2000-2009 –> 2010-2019	9.350142	3.8679677	17494.449	184.991591	7	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1517	5.3299353	9395.970	33.564796	21.458992	2000-2009 –> 2010-2019	9.413354	4.0834188	17565.440	109.273049	1	11
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1517	5.4970999	9489.665	138.121652	22.960537	2000-2009 –> 2010-2019	9.440751	3.9436515	17558.623	206.648312	9	14
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1517	5.4233632	9448.692	223.114016	21.962586	2000-2009 –> 2010-2019	9.514283	4.0909194	17623.458	320.126116	4	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1517	5.4458120	9459.225	63.045116	22.859871	2000-2009 –> 2010-2019	9.594317	4.1485050	17672.332	129.143696	5	18
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1517	5.4710481	9475.252	34.276953	21.571082	2000-2009 –> 2010-2019	9.642478	4.1714297	17706.264	61.768741	6	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	1517	5.5115171	9495.612	15.236693	22.796461	2000-2009 –> 2010-2019	9.703974	4.1924564	17739.134	30.379883	11	27
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	1517	5.5019325	9490.331	17.114782	22.812556	2000-2009 –> 2010-2019	9.709835	4.2079029	17744.467	77.186946	10	27
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1517	5.4909397	9486.263	34.084890	21.288297	2000-2009 –> 2010-2019	9.723768	4.2328285	17759.444	72.273392	8	29
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	2938	3.4653574	15654.468	121.469533	17.296877	1982-1999 –> 2000-2009	7.411650	3.9462923	29828.047	370.977050	1	6
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2938	3.5454874	15788.793	111.461154	17.824746	1982-1999 –> 2000-2009	7.477778	3.9322908	29944.344	241.741257	4	8
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2938	3.4955962	15705.520	61.763110	16.240137	1982-1999 –> 2000-2009	7.650781	4.1551849	30140.715	273.462694	2	12
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	2938	3.6996562	16038.900	129.776403	17.722726	1982-1999 –> 2000-2009	7.658166	3.9585102	30228.158	268.161702	7	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	2938	3.8235776	16232.495	97.225654	15.242928	1982-1999 –> 2000-2009	7.733468	3.9098902	30359.070	327.234437	12	15
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2938	3.8846210	16325.564	92.236128	14.921619	1982-1999 –> 2000-2009	7.759290	3.8746689	30406.243	217.647982	15	16
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2938	3.6205997	15911.978	55.480441	16.231219	1982-1999 –> 2000-2009	7.829621	4.2090216	30412.466	93.731907	5	20
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	2938	3.9533760	16428.656	108.569143	14.988944	1982-1999 –> 2000-2009	7.841071	3.8876946	30526.356	247.459970	22	24
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2938	3.7615679	16136.418	103.380974	21.821475	1982-1999 –> 2000-2009	7.930098	4.1685304	30587.877	246.861486	8	20
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2938	3.9229922	16381.321	90.271958	15.041576	1982-1999 –> 2000-2009	7.962589	4.0395971	30671.424	205.555041	18	26
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3510	6.1313128	22705.079	168.835079	31.249013	2000-2009 –> 2010-2019	9.626909	3.4955962	38410.599	230.598188	8	10
Atlantic	(27.85,27.95]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	3510	5.9418699	22484.756	202.598663	32.981621	2000-2009 –> 2010-2019	9.765448	3.8235776	38717.251	299.824318	3	15
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3510	5.8937152	22427.632	134.558910	35.374980	2000-2009 –> 2010-2019	9.778336	3.8846210	38753.196	226.795038	1	16
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3510	6.1666700	22745.445	37.649165	30.208927	2000-2009 –> 2010-2019	9.787270	3.6205997	38657.422	93.129606	9	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3510	6.3300519	22929.014	200.639365	76.555295	2000-2009 –> 2010-2019	9.795409	3.4653574	38583.482	322.108898	17	18
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	3510	5.9023167	22437.870	142.411939	35.681871	2000-2009 –> 2010-2019	9.855693	3.9533760	38866.526	250.981082	2	24
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3510	6.1167121	22688.342	144.246084	57.718359	2000-2009 –> 2010-2019	9.878280	3.7615679	38824.760	247.627057	7	15
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3510	6.3495772	22950.634	124.960102	75.729651	2000-2009 –> 2010-2019	9.895065	3.5454874	38739.427	236.421256	19	23
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3510	6.1996375	22782.874	37.063614	29.042646	2000-2009 –> 2010-2019	9.984638	3.7850001	38955.783	90.624610	10	20
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3510	6.2034859	22785.230	60.962120	30.476622	2000-2009 –> 2010-2019	10.054628	3.8511425	39057.934	106.527254	12	25
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3866	3.5682383	20820.893	117.343699	36.144293	1982-1999 –> 2000-2009	7.160902	3.5926637	45185.529	187.047807	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3866	3.5708517	20826.554	940.921903	34.420014	1982-1999 –> 2000-2009	7.191788	3.6209367	45261.943	1508.170226	3	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + phosphate	3866	3.5748954	20833.305	45.994785	34.785845	1982-1999 –> 2000-2009	7.209084	3.6341885	45299.667	87.127413	4	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3866	3.5693092	20823.214	522.177952	36.674121	1982-1999 –> 2000-2009	7.325525	3.7562159	45589.670	888.598595	2	8
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	3866	3.5935229	20875.489	98.070494	36.395454	1982-1999 –> 2000-2009	7.347989	3.7544667	45637.741	167.897663	5	10
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3866	3.6004734	20890.430	121.748221	35.847308	1982-1999 –> 2000-2009	7.353538	3.7530646	45649.311	195.102107	6	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	3866	3.6092437	20907.241	25.684644	34.224333	1982-1999 –> 2000-2009	7.365475	3.7562314	45671.735	57.240822	7	14
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3866	3.6132376	20917.793	916.299763	32.194556	1982-1999 –> 2000-2009	7.448803	3.8355656	45872.936	1476.270097	8	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	3866	3.6298908	20951.347	45.769931	32.797038	1982-1999 –> 2000-2009	7.470551	3.8406604	45916.472	86.911975	9	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3866	3.6319524	20955.737	238.799681	33.176349	1982-1999 –> 2000-2009	7.482933	3.8509802	45945.082	441.945276	10	20
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	4563	4.0141062	25646.682	692.233265	19.142375	2000-2009 –> 2010-2019	7.584958	3.5708517	46473.236	1633.155168	1	4
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4563	4.0366678	25697.832	401.481511	17.533722	2000-2009 –> 2010-2019	7.605977	3.5693092	46521.045	923.659463	2	4
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	4563	4.0939311	25826.382	69.855585	18.904680	2000-2009 –> 2010-2019	7.687454	3.5935229	46701.871	167.926079	5	10
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4563	4.0762080	25786.788	683.478685	16.242687	2000-2009 –> 2010-2019	7.689446	3.6132376	46704.581	1599.778447	3	11
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4563	4.0944598	25827.560	80.026226	19.011508	2000-2009 –> 2010-2019	7.694933	3.6004734	46717.990	201.774447	6	12
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	4563	4.1033158	25845.278	44.762475	20.029497	2000-2009 –> 2010-2019	7.712560	3.6092437	46752.519	70.447119	7	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4563	4.0853097	25805.143	247.790319	15.761278	2000-2009 –> 2010-2019	7.717262	3.6319524	46760.880	486.590000	4	14
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4563	4.1578891	25967.852	75.949079	20.267730	2000-2009 –> 2010-2019	7.726127	3.5682383	46788.745	193.292778	8	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + phosphate	4563	4.1854228	26026.085	49.276239	18.934168	2000-2009 –> 2010-2019	7.760318	3.5748954	46859.390	95.271024	9	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4563	4.2232105	26108.109	49.255961	16.152748	2000-2009 –> 2010-2019	7.853101	3.6298908	47059.456	95.025892	10	19
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	855	4.1982672	4893.674	124.197526	14.992097	1982-1999 –> 2000-2009	7.178535	2.9802677	10406.658	255.325816	2	6
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	855	4.1977696	4893.471	158.556469	14.572643	1982-1999 –> 2000-2009	7.196027	2.9982573	10419.635	330.143672	1	10
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	855	4.2265833	4905.169	201.556121	15.064100	1982-1999 –> 2000-2009	7.212818	2.9862347	10422.533	411.117609	5	11
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	855	4.2559830	4917.022	153.138962	15.623510	1982-1999 –> 2000-2009	7.231822	2.9758394	10426.750	310.338703	7	10
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	855	4.2718850	4923.399	198.275806	15.408584	1982-1999 –> 2000-2009	7.240716	2.9688306	10427.963	406.464955	12	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + silicate + phosphate	855	4.2654792	4918.833	31.468931	16.515014	1982-1999 –> 2000-2009	7.298591	3.0331119	10468.309	65.270746	9	20
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	855	4.3131734	4939.847	152.525312	15.868439	1982-1999 –> 2000-2009	7.309596	2.9964226	10464.671	311.236318	14	22
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	855	4.3155818	4938.802	32.027929	17.237047	1982-1999 –> 2000-2009	7.316751	3.0011692	10465.092	66.482089	15	25
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	855	4.3410637	4950.869	998.504742	16.429079	1982-1999 –> 2000-2009	7.383540	3.0424765	10509.096	1902.935593	18	30
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + silicate + phosphate	855	4.4164223	4978.299	40.957138	17.849042	1982-1999 –> 2000-2009	7.386869	2.9704468	10482.055	87.416246	23	25
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1299	4.1216250	7379.813	228.545500	14.484720	2000-2009 –> 2010-2019	8.319395	4.1977696	12273.284	387.101969	4	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	1299	4.0989577	7363.486	605.284257	15.311411	2000-2009 –> 2010-2019	8.352146	4.2531885	12277.385	1318.182792	2	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + silicate + phosphate	1299	4.1216288	7377.816	39.096110	14.469832	2000-2009 –> 2010-2019	8.387108	4.2654792	12296.649	70.565041	5	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1299	4.0996840	7363.946	602.888868	15.731992	2000-2009 –> 2010-2019	8.389164	4.2894800	12292.374	1300.132306	3	16
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1299	4.1714791	7411.050	286.751452	15.178989	2000-2009 –> 2010-2019	8.398062	4.2265833	12316.218	488.307574	7	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1299	4.0516672	7333.338	612.572143	14.917647	2000-2009 –> 2010-2019	8.457690	4.4060229	12307.606	1202.976221	1	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1299	4.2716156	7472.678	177.138247	15.104330	2000-2009 –> 2010-2019	8.469883	4.1982672	12366.352	301.335773	11	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate	1299	4.2705573	7470.034	108.986895	16.457319	2000-2009 –> 2010-2019	8.487479	4.2169213	12369.289	193.500402	9	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1299	4.1724572	7409.659	40.129235	14.871389	2000-2009 –> 2010-2019	8.488039	4.3155818	12348.460	72.157163	8	23
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	1299	4.1319235	7384.297	620.467322	16.357104	2000-2009 –> 2010-2019	8.499230	4.3673069	12343.472	1319.617565	6	25
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	820	5.0930793	5010.787	178.624370	22.175624	1982-1999 –> 2000-2009	8.534735	3.4416556	9909.786	321.746216	2	3
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	820	5.0911007	5010.149	220.824615	21.921347	1982-1999 –> 2000-2009	8.566106	3.4750053	9926.893	392.804066	1	4
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	820	5.2442568	5056.758	141.780581	21.646272	1982-1999 –> 2000-2009	8.709021	3.4647638	9966.071	256.857184	3	5
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	820	5.2532520	5061.569	318.076932	22.169746	1982-1999 –> 2000-2009	8.774257	3.5210051	10002.509	535.150462	4	10
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + phosphate	820	5.3019413	5074.699	167.165506	20.933247	1982-1999 –> 2000-2009	8.780263	3.4783216	9991.198	306.781861	7	11
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	820	5.2782324	5069.349	246.979034	22.722601	1982-1999 –> 2000-2009	8.792808	3.5145756	10006.926	426.237505	6	11
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	820	5.4748327	5127.324	227.413877	20.059882	1982-1999 –> 2000-2009	8.996899	3.5220668	10066.820	394.498056	14	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	820	5.4730619	5126.794	188.500985	21.275910	1982-1999 –> 2000-2009	8.999005	3.5259428	10068.313	326.259477	13	21
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	820	5.4031599	5107.713	302.852335	22.621892	1982-1999 –> 2000-2009	9.035869	3.6327089	10106.120	517.310410	9	19
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	820	5.4189764	5112.507	240.723783	22.964405	1982-1999 –> 2000-2009	9.054738	3.6357620	10112.460	421.428767	10	22
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1282	4.9735703	7765.168	220.453775	17.328815	2000-2009 –> 2010-2019	10.064671	5.0911007	12775.318	441.278390	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1282	5.0596540	7809.167	190.887370	17.325291	2000-2009 –> 2010-2019	10.152733	5.0930793	12819.953	369.511740	3	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + phosphate	1282	4.9761528	7764.499	156.329376	17.391271	2000-2009 –> 2010-2019	10.278094	5.3019413	12839.198	323.494882	2	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1282	5.0733489	7814.097	139.595270	17.388729	2000-2009 –> 2010-2019	10.317606	5.2442568	12870.856	281.375851	4	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1282	5.1773443	7868.124	302.209570	18.542809	2000-2009 –> 2010-2019	10.430596	5.2532520	12929.692	620.286502	6	10
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1282	5.3309661	7943.096	257.546387	18.606993	2000-2009 –> 2010-2019	10.609198	5.2782324	13012.445	504.525421	10	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + silicate + phosphate	1282	5.1581952	7856.623	39.630685	18.273499	2000-2009 –> 2010-2019	10.628465	5.4702696	12982.580	88.517918	5	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1282	5.1805339	7867.703	200.334310	18.624441	2000-2009 –> 2010-2019	10.655366	5.4748327	12995.027	427.748188	7	21
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + phosphate	1282	5.2672556	7908.269	31.731691	19.238565	2000-2009 –> 2010-2019	10.766894	5.4996382	13041.007	54.563133	9	24
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1282	5.2659128	7909.615	39.953687	18.878612	2000-2009 –> 2010-2019	10.768428	5.5025149	13045.211	89.307230	8	24
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	602	5.0342488	3668.384	499.091870	17.561393	1982-1999 –> 2000-2009	8.290933	3.2566844	7009.934	797.866550	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	602	5.0518815	3672.594	499.741406	17.836133	1982-1999 –> 2000-2009	8.377289	3.3254078	7040.873	797.576066	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	602	5.1048237	3685.146	572.060064	17.927811	1982-1999 –> 2000-2009	8.472243	3.3674189	7069.495	880.873056	4	7
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	602	5.0866019	3680.840	487.082074	18.191912	1982-1999 –> 2000-2009	8.496505	3.4099031	7081.237	792.183765	3	7
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	602	5.1092645	3684.193	51.987660	17.192337	1982-1999 –> 2000-2009	8.539978	3.4307137	7090.378	117.899440	5	10
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	602	5.1264432	3690.234	572.264020	18.228575	1982-1999 –> 2000-2009	8.560174	3.4337305	7099.544	879.582803	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	602	5.1272636	3688.427	52.586834	17.486998	1982-1999 –> 2000-2009	8.635671	3.5084076	7123.276	116.042371	7	14
Atlantic	(28.15,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	602	5.1426558	3692.036	52.953229	17.710186	1982-1999 –> 2000-2009	8.661081	3.5184253	7130.534	118.098137	8	17
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	602	5.1615662	3698.455	561.311915	18.537293	1982-1999 –> 2000-2009	8.679634	3.5180680	7138.824	880.763310	10	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + silicate + phosphate	602	5.1573118	3695.462	50.128590	17.608736	1982-1999 –> 2000-2009	8.702272	3.5449602	7143.578	113.011830	9	19
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1005	4.0796056	5692.127	403.638435	22.306454	2000-2009 –> 2010-2019	9.113854	5.0342488	9360.511	902.730306	5	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1005	4.0763381	5690.517	404.298117	22.077768	2000-2009 –> 2010-2019	9.128220	5.0518815	9363.110	904.039523	3	5
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1005	4.0781155	5691.393	393.231438	21.669211	2000-2009 –> 2010-2019	9.164717	5.0866019	9372.233	880.313512	4	7
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1005	4.0740899	5689.408	457.106627	21.878229	2000-2009 –> 2010-2019	9.178914	5.1048237	9374.554	1029.166691	1	5
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1005	4.0742391	5689.481	457.354170	21.677157	2000-2009 –> 2010-2019	9.200682	5.1264432	9379.715	1029.618190	2	8
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1005	4.0805035	5692.569	449.121910	21.331490	2000-2009 –> 2010-2019	9.242070	5.1615662	9391.024	1010.433826	6	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + silicate + phosphate	1005	4.1260148	5712.864	53.567969	20.599654	2000-2009 –> 2010-2019	9.283326	5.1573118	9408.326	103.696559	8	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1005	4.1785586	5738.299	56.879275	20.736587	2000-2009 –> 2010-2019	9.287823	5.1092645	9422.492	108.866934	12	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	1005	4.1733300	5735.782	56.132699	20.732836	2000-2009 –> 2010-2019	9.300594	5.1272636	9424.209	108.719533	11	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	1005	4.1258428	5712.780	52.715177	20.399551	2000-2009 –> 2010-2019	9.306616	5.1807732	9413.707	103.341214	7	18
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1131	2.7071024	5476.317	46.787737	17.049259	1982-1999 –> 2000-2009	4.812086	2.1049837	10188.888	70.174069	1	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1131	2.7078342	5476.928	46.227225	17.052790	1982-1999 –> 2000-2009	4.812638	2.1048034	10189.313	69.514434	2	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1131	2.7132239	5481.426	46.396972	17.060075	1982-1999 –> 2000-2009	4.814460	2.1012358	10190.126	69.709482	4	5
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1131	2.7128660	5481.128	45.463409	17.099647	1982-1999 –> 2000-2009	4.818899	2.1060328	10194.781	69.848433	3	10
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1131	2.7137220	5481.841	44.931540	17.104257	1982-1999 –> 2000-2009	4.819521	2.1057995	10195.254	69.139288	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	1131	2.7135977	5479.738	31.348978	17.046888	1982-1999 –> 2000-2009	4.820960	2.1073619	10192.761	38.540404	5	15
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1131	2.7189437	5486.190	45.018324	17.109017	1982-1999 –> 2000-2009	4.821244	2.1023002	10195.990	69.260568	7	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + silicate + phosphate	1131	2.7216164	5486.412	31.226931	17.106504	1982-1999 –> 2000-2009	4.831422	2.1098059	10201.953	38.091347	8	19
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	1131	2.7740837	5529.604	5.357745	17.830143	1982-1999 –> 2000-2009	4.880400	2.1063160	10241.549	7.892278	15	24
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	1131	2.7774025	5532.308	4.814444	17.860907	1982-1999 –> 2000-2009	4.883445	2.1060421	10243.971	7.559369	16	24
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1656	1.9774778	6971.720	31.003951	25.793493	2000-2009 –> 2010-2019	4.684580	2.7071024	12448.036	77.791688	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1656	1.9774975	6971.753	30.719053	25.789909	2000-2009 –> 2010-2019	4.685332	2.7078342	12448.681	76.946278	2	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1656	1.9784782	6973.395	30.853601	25.844404	2000-2009 –> 2010-2019	4.691702	2.7132239	12454.821	77.250573	3	7
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1656	1.9809276	6977.492	29.762072	25.820481	2000-2009 –> 2010-2019	4.693794	2.7128660	12458.620	75.225481	4	7
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1656	1.9809775	6977.576	29.405116	25.818681	2000-2009 –> 2010-2019	4.694699	2.7137220	12459.417	74.336656	5	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1656	1.9814797	6978.415	29.542329	25.860253	2000-2009 –> 2010-2019	4.700423	2.7189437	12464.605	74.560652	6	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	1656	1.9878268	6987.007	13.937722	26.221549	2000-2009 –> 2010-2019	4.701424	2.7135977	12466.745	45.286699	9	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + silicate + phosphate	1656	1.9898622	6990.397	13.713017	26.234376	2000-2009 –> 2010-2019	4.711479	2.7216164	12476.809	44.939948	13	21
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	1656	1.9877398	6986.863	7.474415	26.111468	2000-2009 –> 2010-2019	4.730274	2.7425345	12490.594	17.775517	8	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1656	1.9877312	6986.848	7.743005	26.109456	2000-2009 –> 2010-2019	4.732174	2.7444426	12492.153	17.795127	7	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4045	8.4634877	28771.522	66.623624	30.530971	1982-1999 –> 2000-2009	17.067500	8.6040126	45005.764	203.588115	1	3
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4045	8.5776847	28879.950	22.273459	28.679243	1982-1999 –> 2000-2009	17.159925	8.5822399	45102.683	46.043465	2	3
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4045	8.6094354	28909.840	20.516906	29.076616	1982-1999 –> 2000-2009	17.240988	8.6315530	45158.597	42.396333	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4045	8.8181553	29103.628	56.979814	29.745349	1982-1999 –> 2000-2009	17.798285	8.9801300	45532.202	94.596843	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	4045	8.8304091	29114.862	56.639120	30.070821	1982-1999 –> 2000-2009	17.846557	9.0161478	45561.616	93.088121	6	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	4045	8.8366983	29118.621	14.805627	29.802734	1982-1999 –> 2000-2009	17.897708	9.0610094	45585.920	33.769475	8	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4045	8.8428778	29124.277	12.513686	30.091801	1982-1999 –> 2000-2009	17.917984	9.0751057	45598.636	29.181480	9	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	4045	8.8715034	29152.423	66.723395	30.295874	1982-1999 –> 2000-2009	17.945127	9.0736232	45628.040	211.195286	11	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4045	8.8213376	29106.546	25.395251	32.007517	1982-1999 –> 2000-2009	18.166209	9.3448714	45715.953	52.998634	5	16
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4045	8.8313036	29115.681	23.253227	31.342313	1982-1999 –> 2000-2009	18.171486	9.3401822	45722.807	48.427015	7	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5087	8.6707401	36425.654	93.439586	35.798132	2000-2009 –> 2010-2019	17.134228	8.4634877	65197.176	160.063210	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5087	8.9339584	36729.912	32.641208	34.740366	2000-2009 –> 2010-2019	17.511643	8.5776847	65609.862	54.914667	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5087	9.0115169	36817.854	29.198966	34.636455	2000-2009 –> 2010-2019	17.620952	8.6094354	65727.694	49.715872	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5087	9.2340653	37066.059	59.711053	33.213253	2000-2009 –> 2010-2019	18.052221	8.8181553	66169.687	116.690867	6	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5087	9.2342968	37064.314	27.102688	33.226400	2000-2009 –> 2010-2019	18.070995	8.8366983	66182.936	41.908315	7	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	5087	9.2056496	37034.703	95.419197	46.337564	2000-2009 –> 2010-2019	18.077153	8.8715034	66187.126	162.142593	5	16
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	5087	9.2704540	37106.073	58.381544	33.239499	2000-2009 –> 2010-2019	18.100863	8.8304091	66220.935	115.020664	8	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5087	9.2718639	37105.620	22.327368	33.208566	2000-2009 –> 2010-2019	18.114742	8.8428778	66229.897	34.841053	9	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	5087	9.1011073	36918.502	58.653559	36.136346	2000-2009 –> 2010-2019	18.125868	9.0247607	66209.489	114.669715	4	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	5087	9.3173457	37157.405	66.282973	42.214493	2000-2009 –> 2010-2019	18.165111	8.8477652	66288.152	113.816364	11	21
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2756	6.0317840	17740.489	19.564440	30.370670	1982-1999 –> 2000-2009	10.895501	4.8637165	32038.018	35.516695	2	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2756	6.0026580	17713.809	606.024023	31.974592	1982-1999 –> 2000-2009	10.920481	4.9178232	32063.998	1252.270308	1	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2756	6.0617244	17767.782	21.948106	29.771039	1982-1999 –> 2000-2009	10.930052	4.8683271	32069.821	38.808701	3	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	2756	6.4960280	18149.194	602.511693	28.936512	1982-1999 –> 2000-2009	11.828010	5.3319817	32884.262	1136.439206	4	9
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2756	6.5104212	18161.393	84.626930	28.177969	1982-1999 –> 2000-2009	11.839952	5.3295304	32894.273	143.194357	6	10
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	2756	6.5301109	18178.038	80.317305	27.697636	1982-1999 –> 2000-2009	11.870162	5.3400506	32920.305	134.993940	8	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2756	6.5127239	18161.342	10.010579	28.276090	1982-1999 –> 2000-2009	11.962465	5.4497410	32998.394	15.682593	7	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2756	6.5037579	18153.749	268.211613	29.009212	1982-1999 –> 2000-2009	11.963921	5.4601634	32999.895	362.389277	5	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2756	6.5302820	18176.182	9.788325	27.732835	1982-1999 –> 2000-2009	11.965924	5.4356421	33000.903	15.358880	9	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2756	6.9080774	18488.184	65.564257	22.190206	1982-1999 –> 2000-2009	12.494357	5.5862798	33445.024	112.106862	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2613	6.8934266	17518.523	465.000819	25.829601	2000-2009 –> 2010-2019	12.896085	6.0026580	35232.331	1071.024842	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2613	7.0837558	17660.858	14.524490	24.406177	2000-2009 –> 2010-2019	13.115540	6.0317840	35401.347	34.088930	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2613	7.1500770	17709.558	16.155611	23.900645	2000-2009 –> 2010-2019	13.211801	6.0617244	35477.340	38.103716	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	2613	7.4760185	17942.519	597.237540	22.253677	2000-2009 –> 2010-2019	13.972046	6.4960280	36091.712	1199.749234	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2613	7.4765459	17940.888	170.908709	22.327671	2000-2009 –> 2010-2019	13.980304	6.5037579	36094.636	439.120322	5	10
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2613	7.5511590	17994.783	75.971187	21.788005	2000-2009 –> 2010-2019	14.061580	6.5104212	36156.175	160.598117	7	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2613	7.5566770	17996.600	9.415301	21.491671	2000-2009 –> 2010-2019	14.069401	6.5127239	36157.942	19.425880	8	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	2613	7.5988508	18027.685	70.206447	21.606785	2000-2009 –> 2010-2019	14.128962	6.5301109	36205.723	150.523752	9	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2613	7.6184073	18039.118	8.336758	20.991088	2000-2009 –> 2010-2019	14.148689	6.5302820	36215.300	18.125083	10	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2613	7.5125320	17967.981	13.169384	22.958365	2000-2009 –> 2010-2019	14.426088	6.9135558	36460.534	29.911133	6	18
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	2487	5.1809986	15254.019	63.082264	20.274259	1982-1999 –> 2000-2009	9.486202	4.3052034	27232.158	135.032420	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2487	5.2046093	15276.635	51.936321	20.289674	1982-1999 –> 2000-2009	9.525832	4.3212225	27270.209	101.627498	3	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2487	5.2149890	15284.545	9.117410	20.267381	1982-1999 –> 2000-2009	9.552935	4.3379459	27292.172	13.701729	7	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2487	5.2051933	15277.193	68.394128	20.474535	1982-1999 –> 2000-2009	9.553042	4.3478490	27296.297	146.615269	5	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2487	5.2033589	15275.440	51.235006	20.037046	1982-1999 –> 2000-2009	9.560428	4.3570690	27303.348	110.542850	2	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	2487	5.2046819	15276.705	702.148975	20.090636	1982-1999 –> 2000-2009	9.561735	4.3570537	27304.598	1453.615988	4	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2487	5.2055952	15275.577	32.363718	20.331504	1982-1999 –> 2000-2009	9.564080	4.3584850	27302.835	50.926804	6	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	2487	5.2208876	15292.168	40.815831	19.408534	1982-1999 –> 2000-2009	9.597627	4.3767397	27338.796	87.351837	8	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2487	5.2254457	15294.509	210.292306	19.829674	1982-1999 –> 2000-2009	9.597739	4.3722929	27334.912	312.305260	9	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	2487	5.2266735	15295.677	7.878865	19.619676	1982-1999 –> 2000-2009	9.603894	4.3772202	27340.762	11.860006	10	22
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2625	5.7764934	16670.861	37.427805	19.608487	2000-2009 –> 2010-2019	10.981103	5.2046093	31947.496	89.364126	1	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2625	5.7958429	16688.417	34.873847	19.602981	2000-2009 –> 2010-2019	11.030820	5.2349767	31993.990	82.989747	2	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	2625	5.8552823	16741.984	44.408908	18.348068	2000-2009 –> 2010-2019	11.036281	5.1809986	31996.004	107.491173	4	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2625	5.8597602	16745.998	36.590441	18.208982	2000-2009 –> 2010-2019	11.063119	5.2033589	32021.438	87.825447	5	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2625	5.8436325	16731.528	822.889219	19.200464	2000-2009 –> 2010-2019	11.069035	5.2254025	32027.996	1734.564329	3	12
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	2625	5.8684039	16753.736	528.775650	18.316319	2000-2009 –> 2010-2019	11.073086	5.2046819	32030.441	1230.924626	6	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2625	5.8691037	16754.362	48.267717	18.396706	2000-2009 –> 2010-2019	11.074297	5.2051933	32031.556	116.661845	7	12
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2625	5.8691973	16752.446	23.240646	18.350158	2000-2009 –> 2010-2019	11.074792	5.2055952	32028.024	55.604364	8	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2625	5.8704683	16753.583	6.856344	18.240526	2000-2009 –> 2010-2019	11.085457	5.2149890	32038.128	15.973754	9	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	2625	5.8807807	16764.797	29.039637	18.366681	2000-2009 –> 2010-2019	11.101668	5.2208876	32056.965	69.855468	10	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	3350	4.6016807	19747.913	97.064828	18.533015	1982-1999 –> 2000-2009	9.241787	4.6401060	34636.624	167.671944	1	3
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	3350	4.6523663	19821.307	48.375959	17.143149	1982-1999 –> 2000-2009	9.292401	4.6400343	34709.940	94.332741	5	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3350	4.6229288	19778.779	105.848185	18.794276	1982-1999 –> 2000-2009	9.294424	4.6714957	34701.443	179.288326	2	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + nitrate + silicate + phosphate	3350	4.6639352	19835.947	18.008808	16.782023	1982-1999 –> 2000-2009	9.304057	4.6401217	34722.675	28.938516	6	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3350	4.6308861	19790.301	65.902722	17.942176	1982-1999 –> 2000-2009	9.315746	4.6848598	34727.352	123.093930	3	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3350	4.6311065	19788.620	25.376737	17.797699	1982-1999 –> 2000-2009	9.345686	4.7145796	34755.517	41.446961	4	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3350	4.7011366	19891.177	929.694635	17.994643	1982-1999 –> 2000-2009	9.362487	4.6613500	34802.892	1861.775556	7	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3350	4.7097672	19903.466	47.787979	18.198962	1982-1999 –> 2000-2009	9.365901	4.6561342	34809.543	86.997432	9	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3350	4.7132248	19906.383	9.707087	18.273833	1982-1999 –> 2000-2009	9.369359	4.6561342	34810.460	14.741117	11	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	3350	4.7097683	19901.468	8.610010	18.198640	1982-1999 –> 2000-2009	9.373282	4.6635137	34813.520	12.784760	10	17
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	3740	4.7545129	22289.685	79.199978	20.082592	2000-2009 –> 2010-2019	9.356194	4.6016807	42037.598	176.264806	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3740	4.7637667	22304.229	82.962915	20.230485	2000-2009 –> 2010-2019	9.386696	4.6229288	42083.008	188.811100	9	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3740	4.7646728	22305.652	49.876475	20.411641	2000-2009 –> 2010-2019	9.395559	4.6308861	42095.954	115.779197	11	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3740	4.7674101	22307.948	22.988065	20.310931	2000-2009 –> 2010-2019	9.398517	4.6311065	42096.568	48.364802	14	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	3740	4.7559044	22291.874	37.069588	19.926821	2000-2009 –> 2010-2019	9.408271	4.6523663	42113.181	85.445547	4	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + nitrate + silicate + phosphate	3740	4.7569471	22291.514	15.783207	19.992185	2000-2009 –> 2010-2019	9.420882	4.6639352	42127.461	33.792015	5	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3740	4.7602691	22298.736	811.876424	20.391058	2000-2009 –> 2010-2019	9.461406	4.7011366	42189.913	1741.571059	6	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3740	4.7614941	22298.660	172.189721	20.585098	2000-2009 –> 2010-2019	9.462967	4.7014724	42188.316	378.887469	8	16
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3740	4.7548561	22290.225	34.310144	20.275870	2000-2009 –> 2010-2019	9.464623	4.7097672	42193.691	82.098124	2	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3740	4.7550069	22288.462	7.906413	20.233166	2000-2009 –> 2010-2019	9.468232	4.7132248	42194.845	17.613500	3	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	5484	3.5567363	29493.592	722.491551	13.114197	1982-1999 –> 2000-2009	7.474164	3.9174274	50390.394	1067.877173	5	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5484	3.5035619	29328.378	33.593847	12.337211	1982-1999 –> 2000-2009	7.485262	3.9817005	50347.235	62.890744	1	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	5484	3.5051728	29333.420	28.493328	12.606150	1982-1999 –> 2000-2009	7.497903	3.9927300	50373.023	55.340613	2	5
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	5484	3.5055769	29334.685	24.417697	13.189172	1982-1999 –> 2000-2009	7.507258	4.0016812	50391.083	49.786156	3	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	5484	3.5061462	29334.466	11.526472	13.053058	1982-1999 –> 2000-2009	7.512229	4.0060826	50397.109	19.175095	4	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5484	3.5984414	29621.451	47.263782	13.906802	1982-1999 –> 2000-2009	7.628832	4.0303911	50731.465	79.732432	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	5484	3.6001170	29626.557	43.703039	14.126619	1982-1999 –> 2000-2009	7.641196	4.0410789	50756.433	76.176500	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	5484	3.6016812	29629.321	12.148012	14.593080	1982-1999 –> 2000-2009	7.682842	4.0811610	50831.221	19.775221	8	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + nitrate + silicate + phosphate	5484	3.7051377	29939.931	16.849728	20.740511	1982-1999 –> 2000-2009	8.207498	4.5023602	51878.483	27.650914	9	20
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	5484	4.0726382	30979.181	694.850736	14.655748	1982-1999 –> 2000-2009	8.429081	4.3564431	52672.640	1505.062498	30	39
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6141	3.4145248	32524.170	21.093832	14.018995	2000-2009 –> 2010-2019	6.918087	3.5035619	61852.548	54.687679	3	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6141	3.4135165	32520.543	20.220771	14.516524	2000-2009 –> 2010-2019	6.919093	3.5055769	61855.227	44.638467	1	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	6141	3.4140593	32522.495	18.404721	14.029525	2000-2009 –> 2010-2019	6.919232	3.5051728	61855.916	46.898049	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	6141	3.4188256	32537.630	7.106187	14.766675	2000-2009 –> 2010-2019	6.924972	3.5061462	61872.096	18.632660	4	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	6141	3.5393800	32965.256	403.197806	15.744729	2000-2009 –> 2010-2019	7.096116	3.5567363	62458.848	1125.689357	5	10
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6141	3.5518006	33008.282	26.071984	16.048582	2000-2009 –> 2010-2019	7.150242	3.5984414	62629.732	73.335765	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	6141	3.5519942	33008.951	26.291876	16.126634	2000-2009 –> 2010-2019	7.152111	3.6001170	62635.508	69.994915	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	6141	3.5521183	33007.380	7.625981	16.252247	2000-2009 –> 2010-2019	7.153799	3.6016812	62636.701	19.773993	8	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + nitrate + silicate + phosphate	6141	3.6265870	33262.205	10.866686	19.211119	2000-2009 –> 2010-2019	7.331725	3.7051377	63202.137	27.716414	9	18
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	6141	3.6769436	33431.572	13.118798	19.967334	2000-2009 –> 2010-2019	7.452058	3.7751144	63576.718	34.051128	10	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7249	3.3726837	38211.117	26.623047	18.685351	1982-1999 –> 2000-2009	6.683838	3.3111547	66129.885	55.308572	1	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	7249	3.3808382	38246.128	25.349256	18.652379	1982-1999 –> 2000-2009	6.686570	3.3057319	66147.413	54.114656	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	7249	3.4141039	38388.083	11.965595	19.135999	1982-1999 –> 2000-2009	6.732912	3.3188084	66331.477	27.889134	7	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	7249	3.4152110	38390.784	10.976442	19.041726	1982-1999 –> 2000-2009	6.756613	3.3414021	66404.543	25.531555	8	12
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	7249	3.4052521	38350.445	24.616818	20.738686	1982-1999 –> 2000-2009	6.944013	3.5387609	66978.285	50.477020	4	11
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7249	3.4065203	38355.844	25.084022	20.707205	1982-1999 –> 2000-2009	6.944789	3.5382684	66982.199	50.923737	5	11
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	7249	3.4156738	38394.748	358.344650	20.596653	1982-1999 –> 2000-2009	6.947046	3.5313718	67000.294	533.502185	9	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	7249	3.4449628	38516.537	11.521513	20.457604	1982-1999 –> 2000-2009	6.990269	3.5453059	67162.086	25.726771	11	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7249	3.4072939	38359.136	25.848918	19.433645	1982-1999 –> 2000-2009	7.014335	3.6070411	67190.816	50.187288	6	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	7249	3.4164022	38397.840	466.090372	19.325819	1982-1999 –> 2000-2009	7.015262	3.5988595	67205.299	923.509102	10	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	7464	3.3779544	39367.326	12.263445	17.104388	2000-2009 –> 2010-2019	6.792058	3.4141039	77755.409	24.229040	1	8
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	7464	3.4114083	39514.439	18.462280	17.986688	2000-2009 –> 2010-2019	6.792247	3.3808382	77760.567	43.811536	2	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7464	3.4294612	39593.229	18.228558	18.218025	2000-2009 –> 2010-2019	6.802145	3.3726837	77804.346	44.851604	3	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	7464	3.4449285	39658.405	10.581347	18.281218	2000-2009 –> 2010-2019	6.860139	3.4152110	78049.189	21.557789	4	12
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	7464	3.5078956	39930.798	15.872337	18.164712	2000-2009 –> 2010-2019	6.912040	3.4041449	78276.529	41.673188	6	9
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	7464	3.5017675	39904.697	225.159917	17.821617	2000-2009 –> 2010-2019	6.918170	3.4164022	78302.536	691.250289	5	15
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7464	3.5159158	39964.889	15.796466	18.167019	2000-2009 –> 2010-2019	6.923210	3.4072939	78324.025	41.645383	8	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	7464	3.5780508	40226.400	15.975430	20.897346	2000-2009 –> 2010-2019	6.983303	3.4052521	78576.846	40.592248	11	15
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7464	3.5773489	40223.471	15.963142	20.857066	2000-2009 –> 2010-2019	6.983869	3.4065203	78579.315	41.047164	10	15
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7464	3.5215775	39986.909	15.724473	18.562825	2000-2009 –> 2010-2019	6.984293	3.4627153	78577.965	40.466840	9	24
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	7026	3.2161375	36368.205	16.609552	13.301342	1982-1999 –> 2000-2009	5.956134	2.7399962	57792.273	30.929678	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	7026	3.3362158	36883.296	326.473523	15.307905	1982-1999 –> 2000-2009	6.310642	2.9744262	59031.603	696.500114	3	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7026	3.3818432	37074.175	51.609960	15.595079	1982-1999 –> 2000-2009	6.375786	2.9939423	59280.176	95.428889	5	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	7026	3.3890030	37103.893	51.988094	15.680167	1982-1999 –> 2000-2009	6.385708	2.9967047	59318.031	95.897664	7	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate	7026	3.4213408	37235.341	4.722188	16.049110	1982-1999 –> 2000-2009	6.438815	3.0174743	59508.411	10.461798	11	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7026	3.5328943	37688.199	55.260068	18.514143	1982-1999 –> 2000-2009	6.470249	2.9373550	59725.863	100.766798	17	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	7026	3.3979886	37141.101	309.700546	16.046040	1982-1999 –> 2000-2009	6.481418	3.0834289	59606.922	571.725983	8	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7026	3.4100270	37190.797	40.484451	16.040651	1982-1999 –> 2000-2009	6.493615	3.0835883	59657.073	76.027338	9	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	7026	3.4198220	37231.102	40.952148	16.095318	1982-1999 –> 2000-2009	6.506598	3.0867764	59706.495	79.762615	10	22
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	7026	3.3099028	36772.028	405.814368	22.142955	1982-1999 –> 2000-2009	6.541822	3.2319187	59652.780	853.017214	2	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	8034	3.0479607	40720.852	304.918927	20.480610	2000-2009 –> 2010-2019	6.357863	3.3099028	77492.880	710.733294	1	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	8034	3.2383230	41694.298	16.327807	14.954251	2000-2009 –> 2010-2019	6.454460	3.2161375	78062.503	32.937358	4	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8034	3.1350033	41173.287	12.321521	20.698082	2000-2009 –> 2010-2019	6.494940	3.3599368	78156.141	25.904642	2	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	8034	3.1687223	41345.186	14.650219	20.812753	2000-2009 –> 2010-2019	6.552312	3.3835899	78426.616	28.914279	3	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	8034	3.3266299	42126.594	259.610633	15.866780	2000-2009 –> 2010-2019	6.662846	3.3362158	79009.890	586.084156	5	8
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8034	3.4270902	42604.646	38.701377	16.440353	2000-2009 –> 2010-2019	6.808933	3.3818432	79678.820	90.311337	9	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	8034	3.4154573	42550.012	221.091277	16.848373	2000-2009 –> 2010-2019	6.813446	3.3979886	79691.113	530.791823	7	15
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	8034	3.3556084	42263.957	245.051145	18.180362	2000-2009 –> 2010-2019	6.837576	3.4819676	79746.122	524.552633	6	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	8034	3.4487116	42705.700	40.233460	16.618183	2000-2009 –> 2010-2019	6.837715	3.3890030	79809.593	92.221553	12	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	8034	3.4416274	42672.660	32.675725	17.514222	2000-2009 –> 2010-2019	6.851655	3.4100270	79863.457	73.160176	10	19
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3017	1.7182044	11841.958	685.778847	8.723427	1982-1999 –> 2000-2009	3.333684	1.6154796	19750.213	1254.493956	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3017	1.8021062	12129.636	13.978560	8.809833	1982-1999 –> 2000-2009	3.467037	1.6649310	20163.263	26.575262	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3017	1.8251665	12206.359	14.378402	8.818775	1982-1999 –> 2000-2009	3.510759	1.6855927	20291.269	28.135596	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3017	1.9003598	12449.964	732.456560	7.111943	1982-1999 –> 2000-2009	3.587271	1.6869113	20538.125	1411.727231	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3017	1.9113845	12482.868	680.160365	8.476710	1982-1999 –> 2000-2009	3.640560	1.7291758	20671.922	1248.417513	5	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3017	1.9624601	12643.991	15.985072	9.064689	1982-1999 –> 2000-2009	3.731262	1.7688014	20929.253	30.985850	6	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3017	1.9880188	12722.069	154.895817	8.096315	1982-1999 –> 2000-2009	3.735294	1.7472753	20956.419	304.686534	7	13
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3017	2.0027505	12766.618	157.297153	8.277207	1982-1999 –> 2000-2009	3.762915	1.7601642	21031.527	309.907769	9	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3017	1.9934487	12736.528	10.428204	8.624839	1982-1999 –> 2000-2009	3.770459	1.7770103	21039.043	20.482218	8	17
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3017	2.0107398	12788.641	10.432089	8.670713	1982-1999 –> 2000-2009	3.804532	1.7937924	21130.240	20.880507	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3666	1.6293142	13996.840	694.341082	12.517307	2000-2009 –> 2010-2019	3.347519	1.7182044	25838.798	1380.119929	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3666	1.7125078	14361.972	13.965776	13.693310	2000-2009 –> 2010-2019	3.514614	1.8021062	26491.608	27.944336	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3666	1.7345737	14455.842	15.719247	13.925357	2000-2009 –> 2010-2019	3.559740	1.8251665	26662.201	30.097649	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3666	1.8707171	15009.849	759.456306	12.355880	2000-2009 –> 2010-2019	3.771077	1.9003598	27459.813	1491.912866	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3666	1.8954907	15104.308	694.336583	12.439492	2000-2009 –> 2010-2019	3.806875	1.9113845	27587.177	1374.496948	5	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3666	1.9431429	15288.354	120.677645	13.468682	2000-2009 –> 2010-2019	3.931162	1.9880188	28010.423	275.573462	6	13
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3666	1.9637401	15365.664	127.840551	13.715155	2000-2009 –> 2010-2019	3.966491	2.0027505	28132.282	285.137704	7	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3666	1.9793869	15421.853	9.669535	13.653508	2000-2009 –> 2010-2019	3.972836	1.9934487	28158.380	20.097739	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3666	1.9953911	15480.897	10.150617	13.823566	2000-2009 –> 2010-2019	4.006131	2.0107398	28269.537	20.582706	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3666	2.0995482	15855.965	17.672129	14.378691	2000-2009 –> 2010-2019	4.062008	1.9624601	28499.955	33.657201	13	19
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4057	1.3551923	13993.464	787.787831	5.537951	1982-1999 –> 2000-2009	2.646746	1.2915537	23721.213	1579.972969	1	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	4057	1.4318917	14440.165	979.390668	5.387419	1982-1999 –> 2000-2009	2.700984	1.2690923	24066.159	1973.118284	4	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4057	1.4163608	14351.676	13.119281	5.970158	1982-1999 –> 2000-2009	2.736831	1.3204702	24207.849	24.744940	2	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4057	1.4331378	14445.222	785.600912	5.467241	1982-1999 –> 2000-2009	2.744850	1.3117119	24260.798	1555.421531	5	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4057	1.4313727	14437.223	13.135781	6.059480	1982-1999 –> 2000-2009	2.763287	1.3319139	24343.444	25.111813	3	10
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4057	1.4905786	14766.087	235.191410	5.811417	1982-1999 –> 2000-2009	2.798189	1.3076108	24565.500	476.443779	6	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	4057	1.5051439	14844.988	240.337828	5.936759	1982-1999 –> 2000-2009	2.821157	1.3160137	24681.554	486.409046	8	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4057	1.4955892	14791.316	11.030542	5.904521	1982-1999 –> 2000-2009	2.834396	1.3388071	24725.478	21.256079	7	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4057	1.5088488	14862.937	11.023798	5.983296	1982-1999 –> 2000-2009	2.857997	1.3491484	24841.727	21.271398	9	19
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	4057	1.5951160	15316.071	768.524403	7.395120	1982-1999 –> 2000-2009	2.931478	1.3363616	25241.629	1518.425420	10	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4308	1.3760810	14990.143	572.322905	10.603364	2000-2009 –> 2010-2019	2.731273	1.3551923	28983.607	1360.110735	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4308	1.4243598	15287.247	11.156631	10.930917	2000-2009 –> 2010-2019	2.840721	1.4163608	29638.923	24.275912	3	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	4308	1.4238167	15283.961	662.008457	10.283778	2000-2009 –> 2010-2019	2.855708	1.4318917	29724.126	1641.399125	2	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4308	1.4365251	15360.523	11.167086	10.993454	2000-2009 –> 2010-2019	2.867898	1.4313727	29797.746	24.302867	4	7
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4308	1.4516004	15448.470	568.970427	10.465111	2000-2009 –> 2010-2019	2.884738	1.4331378	29893.693	1354.571339	5	10
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4308	1.4628400	15516.926	192.222152	10.562006	2000-2009 –> 2010-2019	2.953419	1.4905786	30283.013	427.413562	6	12
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	4308	1.4762939	15595.806	203.368871	10.650634	2000-2009 –> 2010-2019	2.981438	1.5051439	30440.795	443.706700	7	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4308	1.4980413	15719.804	7.916576	10.790662	2000-2009 –> 2010-2019	2.993631	1.4955892	30511.120	18.947118	8	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4308	1.5083089	15778.656	7.913971	10.846331	2000-2009 –> 2010-2019	3.017158	1.5088488	30641.593	18.937769	9	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	4308	1.6005348	16292.005	399.944427	10.205567	2000-2009 –> 2010-2019	3.266432	1.6658972	31960.364	854.131621	10	22
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5953	1.4156390	21046.182	307.778591	8.277175	1982-1999 –> 2000-2009	2.712578	1.2969388	37382.888	592.516929	1	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	5953	1.4227354	21105.716	314.529545	8.365692	1982-1999 –> 2000-2009	2.719145	1.2964094	37438.453	606.883415	4	9
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	5953	1.4884947	21643.676	16.535891	9.577963	1982-1999 –> 2000-2009	2.761577	1.2730826	37799.888	38.005825	7	10
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5953	1.5281415	21956.649	317.133862	10.078423	1982-1999 –> 2000-2009	2.800255	1.2721136	38105.458	602.940554	9	11
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5953	1.5321149	21987.566	321.520510	10.142158	1982-1999 –> 2000-2009	2.800739	1.2686238	38109.669	612.479857	10	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate	5953	1.5147364	21849.746	15.261368	9.381391	1982-1999 –> 2000-2009	2.811686	1.2969501	38184.536	34.708224	8	15
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate	5953	1.5502892	22125.967	13.291891	10.461381	1982-1999 –> 2000-2009	2.828257	1.2779675	38317.411	30.426085	11	15
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5953	1.4170486	21058.031	15.686897	8.195233	1982-1999 –> 2000-2009	2.862117	1.4450685	38446.171	36.150967	2	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	5953	1.4178207	21062.517	15.128887	8.193883	1982-1999 –> 2000-2009	2.862896	1.4450748	38448.699	34.241704	3	15
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5953	1.4248656	21123.529	15.676245	8.315952	1982-1999 –> 2000-2009	2.880019	1.4551536	38579.283	36.130287	5	18
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6823	1.6794547	26451.865	12.780294	12.244106	2000-2009 –> 2010-2019	3.096503	1.4170486	47509.896	28.467190	1	3
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6823	1.6880534	26521.554	255.603856	12.440459	2000-2009 –> 2010-2019	3.103692	1.4156390	47567.736	563.382447	3	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	6823	1.6880949	26519.889	11.695506	12.456378	2000-2009 –> 2010-2019	3.105916	1.4178207	47582.406	26.824393	4	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6823	1.6864630	26508.691	12.761781	12.277482	2000-2009 –> 2010-2019	3.111329	1.4248656	47632.220	28.438027	2	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	6823	1.6955577	26582.083	258.803742	12.503415	2000-2009 –> 2010-2019	3.118293	1.4227354	47687.799	573.333287	5	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6823	1.6955647	26580.140	11.693014	12.497139	2000-2009 –> 2010-2019	3.121200	1.4256350	47708.096	26.820626	6	12
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6823	1.8003812	27400.662	13.802936	13.290247	2000-2009 –> 2010-2019	3.288876	1.4884947	49044.338	30.338827	12	19
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate	6823	1.8003826	27398.673	11.841127	13.286927	2000-2009 –> 2010-2019	3.315119	1.5147364	49248.419	27.102494	13	21
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	6823	1.7298955	26855.676	479.943483	10.553418	2000-2009 –> 2010-2019	3.423515	1.6936194	50036.447	1102.921963	7	21
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6823	1.8993130	28130.639	275.338767	14.645198	2000-2009 –> 2010-2019	3.427455	1.5281415	50087.287	592.472629	21	30
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3235	1.0948954	9781.095	287.047539	6.982768	1982-1999 –> 2000-2009	2.293928	1.1990324	18860.063	566.112319	2	3
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3235	1.0934537	9772.570	285.188344	6.963364	1982-1999 –> 2000-2009	2.294054	1.2006001	18858.939	565.663934	1	3
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3235	1.1012884	9818.763	264.487819	6.787930	1982-1999 –> 2000-2009	2.338741	1.2374528	19076.374	528.404570	3	10
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3235	1.1028001	9827.638	266.106852	6.806821	1982-1999 –> 2000-2009	2.339173	1.2363730	19080.306	528.832562	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	3235	1.1049545	9838.265	246.922073	6.862390	1982-1999 –> 2000-2009	2.342900	1.2379451	19096.130	494.443026	5	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate	3235	1.1064871	9847.233	248.653979	6.881764	1982-1999 –> 2000-2009	2.343344	1.2368567	19100.115	494.938964	6	12
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3235	1.1459464	10075.946	37.829445	8.118947	1982-1999 –> 2000-2009	2.353678	1.2077315	19195.859	76.567054	15	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate	3235	1.1489681	10090.984	30.334816	8.015009	1982-1999 –> 2000-2009	2.367408	1.2184397	19258.895	59.347314	16	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate	3235	1.1666800	10189.961	30.858031	7.911239	1982-1999 –> 2000-2009	2.412845	1.2461647	19485.309	59.521585	17	26
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate	3235	1.1700889	10206.838	29.888870	7.984670	1982-1999 –> 2000-2009	2.416929	1.2468399	19503.254	58.487080	18	28
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4651	1.5582307	17338.878	238.152971	13.259740	2000-2009 –> 2010-2019	2.651684	1.0934537	27111.448	523.341315	3	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4651	1.5512134	17296.893	245.375748	13.110284	2000-2009 –> 2010-2019	2.652502	1.1012884	27115.655	509.863567	1	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4651	1.5595351	17346.661	240.252492	13.299054	2000-2009 –> 2010-2019	2.654431	1.0948954	27127.756	527.300031	5	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	4651	1.5524032	17304.025	246.851296	13.144798	2000-2009 –> 2010-2019	2.655203	1.1028001	27131.663	512.958147	2	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	4651	1.5586721	17339.513	209.489149	13.200046	2000-2009 –> 2010-2019	2.663627	1.1049545	27177.778	456.411222	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate	4651	1.5600059	17347.469	211.010178	13.237921	2000-2009 –> 2010-2019	2.666493	1.1064871	27194.702	459.664156	6	12
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4651	1.5732945	17428.371	29.833419	12.475235	2000-2009 –> 2010-2019	2.685562	1.1122671	27311.313	68.654833	10	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + silicate	4651	1.5772991	17450.017	15.249028	12.738465	2000-2009 –> 2010-2019	2.689869	1.1125697	27332.720	42.278894	14	22
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4651	1.5757397	17442.816	29.878874	12.524020	2000-2009 –> 2010-2019	2.689899	1.1141593	27336.757	68.715092	12	21
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	4651	1.5774417	17450.859	21.061833	12.739272	2000-2009 –> 2010-2019	2.692695	1.1152529	27349.146	53.616351	15	26
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	6079	1.2011458	19493.724	359.757469	5.314031	1982-1999 –> 2000-2009	2.583280	1.3821343	36055.144	578.633980	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6079	1.2018417	19500.766	359.411895	5.305231	1982-1999 –> 2000-2009	2.585030	1.3831887	36069.427	578.030212	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6079	1.2040908	19523.496	94.184789	5.196723	1982-1999 –> 2000-2009	2.623695	1.4196042	36338.927	158.947895	3	6
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6079	1.2047445	19530.095	93.763780	5.187725	1982-1999 –> 2000-2009	2.625367	1.4206228	36352.337	158.250702	5	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + phosphate	6079	1.2041827	19522.424	54.489997	5.224706	1982-1999 –> 2000-2009	2.633901	1.4297178	36403.266	106.890700	4	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	6079	1.2048458	19529.117	52.745107	5.217009	1982-1999 –> 2000-2009	2.635574	1.4307286	36416.671	100.432933	6	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	6079	1.2675855	20148.285	332.726297	4.522369	1982-1999 –> 2000-2009	2.915945	1.6483591	38382.439	578.438571	7	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + silicate + phosphate	6079	1.2707212	20176.325	62.558285	4.551226	1982-1999 –> 2000-2009	2.951458	1.6807367	38593.194	121.297501	8	21
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6079	1.3076630	20526.736	233.795888	4.952527	1982-1999 –> 2000-2009	2.957401	1.6497376	38768.828	405.430797	21	29
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate	6079	1.3085426	20532.911	30.188818	4.952794	1982-1999 –> 2000-2009	2.961318	1.6527756	38790.474	50.582288	22	31
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	7616	1.4920269	27722.136	84.633540	11.587658	2000-2009 –> 2010-2019	2.696118	1.2040908	47245.632	178.818329	7	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7616	1.4924181	27726.129	84.373125	11.596694	2000-2009 –> 2010-2019	2.697163	1.2047445	47256.224	178.136904	8	13
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	7616	1.5028004	27831.727	410.036351	12.674007	2000-2009 –> 2010-2019	2.703946	1.2011458	47325.451	769.793819	15	16
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7616	1.5033494	27837.290	410.022341	12.689979	2000-2009 –> 2010-2019	2.705191	1.2018417	47338.056	769.434236	16	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + phosphate	7616	1.5035060	27836.877	47.644807	12.533543	2000-2009 –> 2010-2019	2.707689	1.2041827	47359.301	102.134804	17	21
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	7616	1.5040392	27842.278	47.546740	12.550040	2000-2009 –> 2010-2019	2.708885	1.2048458	47371.395	100.291847	18	24
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	7616	1.4813442	27612.685	349.313367	11.859635	2000-2009 –> 2010-2019	2.748930	1.2675855	47760.971	682.039664	1	8
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	7616	1.4833242	27633.031	345.333044	11.445006	2000-2009 –> 2010-2019	2.763973	1.2806485	47905.968	662.991814	3	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7616	1.4835410	27635.257	346.156313	11.452190	2000-2009 –> 2010-2019	2.764245	1.2807037	47908.718	664.053514	4	15
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	7616	1.4835807	27635.664	345.259519	11.451570	2000-2009 –> 2010-2019	2.764260	1.2806789	47908.891	663.051890	5	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	3155	0.9099218	8371.859	198.298816	6.284666	1982-1999 –> 2000-2009	2.670521	1.7605995	17860.306	416.388523	1	3
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3155	0.9124683	8389.494	198.255055	6.277608	1982-1999 –> 2000-2009	2.673112	1.7606435	17878.060	416.281809	3	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3155	0.9104956	8375.837	198.271854	6.290824	1982-1999 –> 2000-2009	2.675645	1.7651496	17876.606	416.375722	2	7
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3155	0.9329683	8529.689	201.186309	6.955814	1982-1999 –> 2000-2009	2.989047	2.0560788	18758.804	419.271633	10	32
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3155	0.9363262	8550.359	194.047283	7.112102	1982-1999 –> 2000-2009	3.023452	2.0871263	18849.024	411.499363	12	35
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	3155	1.3448725	10837.150	194.917467	8.261513	1982-1999 –> 2000-2009	3.065990	1.7211180	20217.321	399.043121	14	15
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate	3155	1.3803153	10999.291	185.555558	8.692983	1982-1999 –> 2000-2009	3.140978	1.7606629	20485.909	389.546502	23	27
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	3155	1.3780452	10990.904	32.200396	7.759053	1982-1999 –> 2000-2009	3.218109	1.8400635	20690.103	54.705802	16	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3155	1.3790580	10995.540	15.370092	7.753683	1982-1999 –> 2000-2009	3.219554	1.8404958	20695.860	37.869571	21	28
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3155	1.3779814	10990.612	15.376987	7.765985	1982-1999 –> 2000-2009	3.222405	1.8444239	20701.110	37.902749	15	23
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	4117	1.0974556	12463.256	261.266848	17.628081	2000-2009 –> 2010-2019	2.007377	0.9099218	20835.115	459.565664	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4117	1.0980840	12467.969	261.194972	17.631601	2000-2009 –> 2010-2019	2.008580	0.9104956	20843.807	459.466826	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	4117	1.0997523	12480.470	261.161645	17.628892	2000-2009 –> 2010-2019	2.012221	0.9124683	20869.964	459.416700	3	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	4117	1.1382025	12763.434	265.118260	18.387766	2000-2009 –> 2010-2019	2.063811	0.9256079	21243.144	466.053396	4	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate	4117	1.1383063	12762.184	250.486729	18.425450	2000-2009 –> 2010-2019	2.065755	0.9274484	21252.429	444.323514	5	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4117	1.1402400	12778.160	264.970105	18.421498	2000-2009 –> 2010-2019	2.066222	0.9259823	21260.423	465.855037	6	11
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	4117	1.1406449	12781.084	264.868494	18.428526	2000-2009 –> 2010-2019	2.066682	0.9260371	21263.719	465.745763	8	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4117	1.1403769	12777.148	250.300102	18.464782	2000-2009 –> 2010-2019	2.068532	0.9281549	21272.198	444.033972	7	15
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate	4117	1.1407946	12780.164	250.123883	18.473916	2000-2009 –> 2010-2019	2.069049	0.9282548	21275.893	443.822016	9	18
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4117	1.1465361	12823.501	263.589876	18.173421	2000-2009 –> 2010-2019	2.079504	0.9329683	21353.189	464.776185	10	20
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	616	0.7033788	1328.641	13.043777	4.449517	1982-1999 –> 2000-2009	1.426452	0.7230728	2763.553	21.062297	7	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	616	0.7028674	1327.745	8.112448	4.441565	1982-1999 –> 2000-2009	1.426607	0.7237393	2763.853	13.398637	6	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	616	0.7027218	1327.490	51.339648	4.438888	1982-1999 –> 2000-2009	1.426624	0.7239020	2763.889	78.957026	5	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	616	0.6861848	1298.151	362.248519	2.749033	1982-1999 –> 2000-2009	1.435344	0.7491593	2779.066	713.748196	4	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	616	0.7239083	1364.085	13.072240	4.687588	1982-1999 –> 2000-2009	1.461075	0.7371663	2824.052	21.285477	11	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	616	0.7234099	1363.236	8.130248	4.679927	1982-1999 –> 2000-2009	1.461108	0.7376977	2824.139	13.545469	10	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	616	0.7232848	1363.023	50.099796	4.677655	1982-1999 –> 2000-2009	1.461113	0.7378279	2824.155	77.945970	9	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	616	0.6499902	1231.389	378.858713	1.701162	1982-1999 –> 2000-2009	1.489167	0.8391768	2859.588	718.346684	3	13
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	616	0.6493517	1230.178	378.833211	1.699295	1982-1999 –> 2000-2009	1.490039	0.8406872	2860.711	718.425810	2	13
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	616	0.6490480	1229.602	378.688492	1.697769	1982-1999 –> 2000-2009	1.490084	0.8410364	2860.674	718.303331	1	13
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1121	0.5077774	1675.830	944.143876	5.932434	2000-2009 –> 2010-2019	1.193962	0.6861848	2973.980	1306.392395	1	2
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1121	0.5502622	1853.978	857.560062	5.979781	2000-2009 –> 2010-2019	1.256243	0.7059804	3185.168	1179.516232	2	7
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1121	0.6154765	2107.086	84.332050	3.996841	2000-2009 –> 2010-2019	1.318198	0.7027218	3434.576	135.671697	5	7
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1121	0.6154637	2107.040	8.373769	3.998969	2000-2009 –> 2010-2019	1.318331	0.7028674	3434.785	16.486217	4	7
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1121	0.6154250	2106.899	11.647859	4.006015	2000-2009 –> 2010-2019	1.318804	0.7033788	3435.540	24.691636	3	7
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1121	0.6343162	2174.684	82.264581	4.030955	2000-2009 –> 2010-2019	1.357601	0.7232848	3537.708	132.364377	8	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1121	0.6343122	2174.670	8.389972	4.033440	2000-2009 –> 2010-2019	1.357722	0.7234099	3537.907	16.520220	7	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1121	0.6343031	2174.638	11.670373	4.040427	2000-2009 –> 2010-2019	1.358211	0.7239083	3538.723	24.742613	6	14
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	1121	0.6434728	2204.817	8.369750	4.258671	2000-2009 –> 2010-2019	1.371921	0.7284486	3574.605	14.493834	9	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	1121	0.6698204	2294.789	8.389808	4.346788	2000-2009 –> 2010-2019	1.412396	0.7425758	3688.240	14.846930	10	20

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	9.890170	4502.251
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	10.927893	4992.448
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	13.082745	3995.091
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	11.330524	4221.533
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	10.232079	3530.585
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	11.088774	3135.846
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	10.706671	7396.208
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	10.925748	6459.995
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	9.017081	12608.898
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	10.095231	11692.450
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	7.458829	23777.093
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	8.760864	23460.097
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	9.044832	38257.731
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	11.031826	41913.803
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	7.414456	14493.332
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	9.517377	17616.717
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	7.725451	30310.470
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	9.842168	38756.638
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.335659	45603.009
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	7.703214	46733.971
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	7.275526	10449.276
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	8.424820	12319.109
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	8.824370	10015.710
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	10.467205	12931.129
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	8.541578	7092.767
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	9.220682	9390.988
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	4.831507	10203.459
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	4.702588	12466.048
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	17.721177	45461.222
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	17.897378	66002.295
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	11.667082	32731.489
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	13.801050	35949.304
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	9.560351	27301.609
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	11.058966	32017.204
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	9.326513	34748.997
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	9.422334	42132.054
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	7.706626	50876.909
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	7.101744	62457.543
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.871565	66753.230
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.895147	78200.673
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	6.396079	59327.963
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	6.667175	78993.714
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	3.634377	20650.128
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	3.793845	27511.017
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.783591	24465.535
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	2.939242	30187.498
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.803927	38081.246
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.211190	48410.464
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.350300	19151.524
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.670196	27218.894
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.747297	37217.071
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.726040	47538.061
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	2.989882	19401.310
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	2.050773	21146.988
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	1.456761	2812.368
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	1.326339	3434.123

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
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
26741db	Donghe-Zhu	2021-08-01
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f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

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

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

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
26741db	Donghe-Zhu	2021-08-01
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
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	oxygen	phosphate	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	7	10	6	10	4	4	6
(26,26.5]	5	10	5	7	6	10	6
(26.5,26.75]	4	9	5	6	8	10	6
(26.75,27]	7	9	2	5	7	8	8
(27,27.25]	6	10	5	6	4	6	9
(27.25,27.5]	7	10	5	3	5	10	6
(27.5,27.75]	8	10	5	4	5	10	5
(27.75,27.85]	8	10	6	7	5	7	5
(27.85,27.95]	8	10	5	8	6	6	6
(27.95,28.05]	7	4	4	10	10	5	6
(28.05,28.1]	7	4	6	7	7	10	6
(28.1,28.15]	8	5	6	5	10	6	6
(28.15,28.2]	6	6	7	4	6	10	7
(28.2, Inf]	5	4	5	4	10	10	8
total	93.00	111.00	72.00	86.00	93.00	112.00	90.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	10	6	10	4	4	6
(26,26.5]	5	10	5	7	6	10	6
(26.5,26.75]	7	10	5	5	5	10	5
(26.75,27]	5	10	5	4	6	10	6
(27,27.25]	6	10	5	5	3	8	8
(27.25,27.5]	7	10	5	3	5	10	6
(27.5,27.75]	7	10	6	5	5	10	5
(27.75,27.85]	6	10	5	5	4	10	7
(27.85,27.95]	8	10	6	6	6	8	5
(27.95,28.05]	7	4	4	10	10	5	6
(28.05,28.1]	9	5	6	9	5	5	4
(28.1,28.15]	10	3	6	7	7	6	4
(28.15,28.2]	6	5	6	5	6	10	8
(28.2, Inf]	5	6	5	4	10	8	8
total	95.00	113.00	75.00	85.00	82.00	114.00	84.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	6	8	6	5	10	5	8
(26,26.5]	7	10	6	4	4	10	6
(26.5,26.75]	5	10	7	6	4	10	4
(26.75,27]	4	10	7	6	5	10	4
(27,27.25]	4	9	5	10	5	10	4
(27.25,27.5]	5	10	4	10	6	8	5
(27.5,27.75]	6	10	5	9	7	6	6
(27.75,27.85]	6	10	6	4	10	4	7
(27.85,27.95]	7	9	7	4	10	4	6
(27.95,28.05]	4	7	3	7	10	6	10
(28.05,28.1]	3	4	3	10	10	4	10
(28.1,28.2]	3	4	5	10	10	6	8
(28.2,28.3]	6	7	6	10	10	5	4
(28.3, Inf]	7	7	6	7	10	7	6
total	73.00	115.00	76.00	102.00	111.00	95.00	88.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	6	9	6	5	10	5	7
(26,26.5]	6	10	6	4	4	10	7
(26.5,26.75]	6	10	6	6	5	10	5
(26.75,27]	5	10	7	6	4	10	4
(27,27.25]	4	10	4	10	4	10	4
(27.25,27.5]	5	10	4	10	8	6	5
(27.5,27.75]	7	10	6	6	8	6	6
(27.75,27.85]	6	10	6	4	10	4	7
(27.85,27.95]	7	10	7	4	9	4	6
(27.95,28.05]	5	9	4	6	9	5	9
(28.05,28.1]	6	5	4	6	10	5	10
(28.1,28.2]	5	6	6	10	7	6	8
(28.2,28.3]	7	10	6	10	4	4	6
(28.3, Inf]	8	6	4	6	10	9	4
total	83.00	125.00	76.00	93.00	102.00	94.00	88.00

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
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
26741db	Donghe-Zhu	2021-08-01
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
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
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
26741db	Donghe-Zhu	2021-08-01
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
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