eMLR - model fitting

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Last updated: 2021-06-06

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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R Markdown file: up-to-date

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Seed: set.seed(20200707)

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Session information: recorded

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Repository version: 8259730

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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.

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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.

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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, aou, nitrate, silicate, phosphate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove certain predictor combinations
# lm_rm_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, "oxygen") &
#       str_detect(lm_coeff_filter, "phosphate")
#   )

# 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"))

# lm_rm_o2 <- 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")
#   )

# lm_rm <- bind_rows(lm_rm_ph, lm_rm_o2) %>%
#   select(-lm_coeff_filter) %>%
#   unique()

# lm_rm <- lm_rm_ph %>%
#   select(-lm_coeff_filter) %>%
#   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 ~ sal + aou + silicate + phosphate + phosphate_star	113	1.8579016	474.6753	354.074761	5.097576	1982-1999 –> 2000-2009	2.9816459	1.1237444	676.0191	397.498933	1	11
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	113	2.1856671	511.3943	228.274959	5.736312	1982-1999 –> 2000-2009	3.2354766	1.0498095	704.4350	248.156617	5	9
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	113	2.2277259	515.7019	434.547569	6.020721	1982-1999 –> 2000-2009	3.2625753	1.0348493	706.9916	446.926784	10	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	113	2.2037023	513.2515	206.675635	6.279636	1982-1999 –> 2000-2009	3.3752998	1.1715975	719.6829	329.909142	6	19
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	113	2.3438406	527.1848	346.510804	6.397725	1982-1999 –> 2000-2009	3.3841749	1.0403343	719.1195	363.046873	16	19
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	113	2.4167017	534.1033	332.450202	5.549507	1982-1999 –> 2000-2009	3.4438964	1.0271947	724.4873	351.049921	22	23
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	113	2.3905851	531.6477	270.004604	5.894233	1982-1999 –> 2000-2009	3.5199936	1.1294085	733.6049	351.360451	20	31
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	113	2.3874046	531.3469	141.947781	8.251858	1982-1999 –> 2000-2009	3.6012847	1.2138801	742.1036	401.240276	19	33
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	113	2.4529797	535.4707	56.439394	7.615694	1982-1999 –> 2000-2009	3.6916653	1.2386857	746.6954	62.098347	24	39
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate	113	2.2278798	513.7175	42.388942	6.013985	1982-1999 –> 2000-2009	3.7815811	1.5537013	752.5861	50.878029	11	31
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	58	0.6660142	131.4493	119.407051	2.495730	2000-2009 –> 2010-2019	2.5239157	1.8579016	606.1246	473.481812	16	17
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	58	0.5997167	119.2863	103.044884	3.175248	2000-2009 –> 2010-2019	2.8034190	2.2037023	632.5378	309.720519	5	11
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	58	0.6615272	130.6652	37.700230	2.475243	2000-2009 –> 2010-2019	2.8471942	2.1856671	642.0595	265.975189	15	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	58	0.6578455	130.0178	33.028133	2.458526	2000-2009 –> 2010-2019	2.8855714	2.2277259	645.7197	467.575701	13	23
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	58	0.6383206	126.5228	101.539104	3.350427	2000-2009 –> 2010-2019	2.9530144	2.3146938	650.8796	454.803544	10	24
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	58	0.5856762	116.5382	218.226307	3.012828	2000-2009 –> 2010-2019	2.9730808	2.3874046	647.8851	360.174088	1	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	58	0.6026448	119.8513	274.765784	2.745887	2000-2009 –> 2010-2019	2.9932299	2.3905851	651.4990	544.770388	7	27
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	58	0.5860599	116.6142	32.121738	3.116760	2000-2009 –> 2010-2019	3.0027617	2.4167017	650.7176	364.571940	2	24
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	58	0.6601421	130.4221	32.918911	2.468684	2000-2009 –> 2010-2019	3.0039827	2.3438406	657.6069	379.429715	14	30
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	58	0.6969419	134.7147	4.044677	2.506694	2000-2009 –> 2010-2019	3.1499215	2.4529797	670.1854	60.484071	26	50
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	234	3.8674858	1311.0822	173.146806	9.606213	1982-1999 –> 2000-2009	6.9775101	3.1100243	3388.3660	469.553828	1	3
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	234	4.0109926	1328.1334	173.496848	10.219007	1982-1999 –> 2000-2009	7.0751200	3.0641274	3393.4041	463.874615	5	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	234	3.9817221	1324.7056	11.862042	10.141099	1982-1999 –> 2000-2009	7.1890119	3.2072898	3426.8724	28.242416	2	8
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	234	3.9946289	1326.2202	9.498563	10.325831	1982-1999 –> 2000-2009	7.2111674	3.2165385	3430.7136	20.216869	4	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	234	4.0222591	1329.4461	8.577955	10.531635	1982-1999 –> 2000-2009	7.2611090	3.2388500	3439.5248	21.543000	6	15
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	234	4.1222741	1340.9408	10.797126	10.612326	1982-1999 –> 2000-2009	7.2792048	3.1569308	3430.3201	24.533755	7	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	234	4.1447068	1343.4806	9.535129	10.738891	1982-1999 –> 2000-2009	7.3185846	3.1738778	3437.1859	20.031093	8	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	234	4.1513235	1344.2272	8.835088	10.687848	1982-1999 –> 2000-2009	7.3331925	3.1818690	3439.9642	19.128681	9	14
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	234	3.9854728	1325.1462	57.430161	10.714327	1982-1999 –> 2000-2009	7.3899911	3.4045184	3475.5322	114.931658	3	13
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	234	4.2076476	1350.5342	9.514806	10.671519	1982-1999 –> 2000-2009	7.4180265	3.2103789	3453.4788	20.248212	11	18
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	367	3.2323894	1916.6455	258.703180	11.346938	2000-2009 –> 2010-2019	7.0998751	3.8674858	3227.7277	431.849987	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	367	3.2693354	1924.9875	11.405204	11.469014	2000-2009 –> 2010-2019	7.2510575	3.9817221	3249.6931	23.267246	3	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	367	3.2702578	1925.1946	67.427605	11.462573	2000-2009 –> 2010-2019	7.2557305	3.9854728	3250.3408	124.857766	4	7
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	367	3.2690245	1924.9177	9.185522	11.482554	2000-2009 –> 2010-2019	7.2636533	3.9946289	3251.1379	18.684085	2	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	367	3.2827991	1928.0041	258.644315	12.638261	2000-2009 –> 2010-2019	7.2937917	4.0109926	3256.1374	432.141163	7	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	367	3.2766064	1926.6182	9.796421	11.475763	2000-2009 –> 2010-2019	7.2988655	4.0222591	3256.0642	18.374376	6	12
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	367	3.2705575	1923.2619	7.599152	11.354290	2000-2009 –> 2010-2019	7.4263822	4.1558246	3265.9962	14.610391	5	15
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	367	3.3113842	1934.3677	13.059038	12.710500	2000-2009 –> 2010-2019	7.4336582	4.1222741	3275.3085	23.856164	8	15
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	367	3.3134121	1934.8171	9.197077	12.719618	2000-2009 –> 2010-2019	7.4581189	4.1447068	3278.2977	18.732206	9	17
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	367	3.3151547	1935.2030	8.435644	12.708674	2000-2009 –> 2010-2019	7.4664782	4.1513235	3279.4302	17.270733	10	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	389	2.5471392	1845.3415	74.865999	7.572241	1982-1999 –> 2000-2009	5.4195129	2.8723737	4412.5893	124.965658	3	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	389	2.5121539	1834.5815	75.111235	7.874148	1982-1999 –> 2000-2009	5.4213288	2.9091749	4414.9674	125.440427	1	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	389	2.5155224	1835.6240	74.679619	8.023558	1982-1999 –> 2000-2009	5.4373880	2.9218657	4420.5020	125.214581	2	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	389	2.6645481	1880.4010	94.679204	8.528133	1982-1999 –> 2000-2009	5.4411564	2.7766083	4412.6551	165.905640	7	11
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	389	2.7007526	1890.9009	73.344582	8.584403	1982-1999 –> 2000-2009	5.4488282	2.7480756	4412.4952	143.094909	8	11
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	389	2.7944197	1917.4260	84.223847	8.598476	1982-1999 –> 2000-2009	5.5108408	2.7164211	4427.0639	154.695587	12	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	389	2.6055927	1862.9938	86.174101	7.172022	1982-1999 –> 2000-2009	5.5686983	2.9631056	4462.3359	159.131720	4	22
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	389	2.7619267	1908.3266	77.262299	7.535597	1982-1999 –> 2000-2009	5.6284119	2.8664851	4473.4565	132.142921	11	22
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	389	2.6056972	1861.0250	10.091969	7.187997	1982-1999 –> 2000-2009	5.6346000	3.0289028	4481.0324	24.783389	5	25
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	389	2.7302291	1897.3461	4.030074	8.890109	1982-1999 –> 2000-2009	5.6806477	2.9504186	4490.2600	6.924466	10	27
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	464	4.2667218	2677.1599	58.086925	11.615654	2000-2009 –> 2010-2019	7.0286485	2.7619267	4585.4864	135.349225	3	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	464	4.5299332	2732.7112	52.302805	12.273661	2000-2009 –> 2010-2019	7.0420871	2.5121539	4567.2927	127.414040	16	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	464	4.4973688	2726.0160	51.642890	11.943199	2000-2009 –> 2010-2019	7.0445080	2.5471392	4571.3575	126.508888	14	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	464	4.3812784	2701.7470	104.767815	11.196612	2000-2009 –> 2010-2019	7.0458266	2.6645481	4582.1480	199.447019	7	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	464	4.5360593	2733.9654	52.441846	12.310092	2000-2009 –> 2010-2019	7.0515817	2.5155224	4569.5894	127.121466	17	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	464	4.3669911	2698.7159	98.766101	10.909202	2000-2009 –> 2010-2019	7.0677437	2.7007526	4589.6167	172.110682	6	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	464	4.3598236	2697.1915	101.931042	10.761671	2000-2009 –> 2010-2019	7.1542432	2.7944197	4614.6175	186.154889	4	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	464	4.2463231	2672.7126	58.400413	11.173199	2000-2009 –> 2010-2019	7.1557639	2.9094408	4621.5203	133.959445	2	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	464	4.6362827	2754.2461	107.753173	11.065118	2000-2009 –> 2010-2019	7.2418754	2.6055927	4617.2399	193.927274	21	25
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	464	4.2427922	2671.9406	57.654964	11.050931	2000-2009 –> 2010-2019	7.2692302	3.0264381	4651.4214	133.519828	1	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	603	2.2497016	2703.0618	48.741016	10.921549	1982-1999 –> 2000-2009	3.8946057	1.6449041	6991.1257	91.913291	1	3
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	603	2.2627853	2710.0552	123.825389	8.292722	1982-1999 –> 2000-2009	3.9170687	1.6542834	7010.7986	199.039478	2	5
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	603	2.3509811	2756.1681	173.778055	9.979930	1982-1999 –> 2000-2009	3.9295004	1.5785194	6952.3677	371.441045	8	9
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	603	2.2680788	2712.8732	117.809855	7.687926	1982-1999 –> 2000-2009	3.9683321	1.7002533	7074.7394	192.953455	3	9
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	603	2.2969705	2728.1387	48.608974	10.993365	1982-1999 –> 2000-2009	3.9930743	1.6961038	7084.5559	91.784796	5	10
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	603	2.2867790	2722.7758	131.281784	7.340916	1982-1999 –> 2000-2009	4.0184809	1.7317020	7125.5123	206.521796	4	12
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	603	2.3219498	2741.1830	48.640531	10.983234	1982-1999 –> 2000-2009	4.0399098	1.7179600	7126.1527	91.817249	6	13
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	603	2.3775009	2767.6960	66.631381	12.376695	1982-1999 –> 2000-2009	4.0703890	1.6928882	7117.8813	218.982685	10	14
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	603	2.3419913	2749.5478	18.564909	12.292517	1982-1999 –> 2000-2009	4.1091856	1.7671943	7195.5274	50.064033	7	16
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	603	2.3770516	2767.4681	3.907343	12.280808	1982-1999 –> 2000-2009	4.1921935	1.8151419	7273.1460	10.062928	9	19
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	873	2.4951514	4087.9207	98.225751	10.324191	2000-2009 –> 2010-2019	4.7579367	2.2627853	6797.9760	222.051140	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	873	2.4270365	4039.5942	270.867702	9.744290	2000-2009 –> 2010-2019	4.7780175	2.3509811	6795.7623	444.645757	1	9
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	873	2.5151472	4101.8572	97.435244	10.466575	2000-2009 –> 2010-2019	4.7832260	2.2680788	6814.7304	215.245099	3	6
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	873	2.5581855	4131.4814	100.966816	10.621590	2000-2009 –> 2010-2019	4.8449645	2.2867790	6854.2572	232.248600	4	8
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	873	2.9078260	4355.1571	30.135850	14.115432	2000-2009 –> 2010-2019	5.1575276	2.2497016	7058.2188	78.876866	6	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	873	2.9411227	4375.0364	30.241636	14.229345	2000-2009 –> 2010-2019	5.2380932	2.2969705	7103.1752	78.850610	8	13
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	873	2.7354734	4248.4744	112.284434	8.940963	2000-2009 –> 2010-2019	5.2578407	2.5223673	7089.5028	253.607406	5	17
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	873	2.9526717	4381.8791	30.252835	14.244691	2000-2009 –> 2010-2019	5.2746215	2.3219498	7123.0621	78.893366	10	16
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	873	3.0369127	4428.9959	200.097279	14.513261	2000-2009 –> 2010-2019	5.4144136	2.3775009	7196.6919	266.728660	11	21
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	873	2.9497439	4378.1469	23.998454	13.899862	2000-2009 –> 2010-2019	5.4725384	2.5227944	7217.3796	42.925901	9	23
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	967	2.1647875	4251.8983	158.594486	6.424577	1982-1999 –> 2000-2009	3.6321668	1.4673793	9161.2617	318.781468	2	7
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	967	2.1383141	4228.1014	115.595359	5.950446	1982-1999 –> 2000-2009	3.6621726	1.5238585	9240.0416	261.205764	1	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	967	2.3234843	4388.7205	55.880958	11.276096	1982-1999 –> 2000-2009	3.6897113	1.3662270	9104.0932	82.199697	6	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	967	2.3139393	4380.7591	53.666047	11.338656	1982-1999 –> 2000-2009	3.7044120	1.3904727	9143.9086	79.990237	5	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	967	2.4220809	4469.0958	56.480160	10.986458	1982-1999 –> 2000-2009	3.7720141	1.3499332	9151.8825	145.507344	11	12
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	967	2.4033393	4454.0727	353.472299	10.764183	1982-1999 –> 2000-2009	3.7959935	1.3926542	9221.4800	1110.625175	10	14
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	967	2.3506039	4411.1633	122.729238	6.124785	1982-1999 –> 2000-2009	3.8786472	1.5280433	9430.5519	262.167147	7	15
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	967	2.4222152	4467.2031	56.226839	11.016607	1982-1999 –> 2000-2009	3.8949444	1.4727292	9384.4507	139.510746	12	18
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	967	2.3754039	4431.4611	119.756735	6.227370	1982-1999 –> 2000-2009	3.9524125	1.5770085	9536.5168	262.871985	8	17
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	967	2.4925242	4524.5415	55.893874	14.071075	1982-1999 –> 2000-2009	4.1571894	1.6646652	9776.5174	82.428174	14	24
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1287	2.1506581	5637.4498	284.361521	8.049067	2000-2009 –> 2010-2019	4.3154456	2.1647875	9889.3481	442.956007	1	3
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1287	2.2933791	5802.8355	236.028532	7.255217	2000-2009 –> 2010-2019	4.4316932	2.1383141	10030.9369	351.623891	4	5
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1287	2.2243637	5724.1859	289.655862	8.009101	2000-2009 –> 2010-2019	4.5174044	2.2930407	10087.3985	477.658848	2	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1287	2.2770326	5784.4231	124.659518	7.954118	2000-2009 –> 2010-2019	4.5217501	2.2447175	10106.4434	200.877013	3	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1287	2.3684408	5885.7326	59.933563	12.679921	2000-2009 –> 2010-2019	4.6823801	2.3139393	10266.4917	113.599610	9	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1287	2.3613854	5878.0533	59.887506	12.618868	2000-2009 –> 2010-2019	4.6848697	2.3234843	10266.7738	115.768464	8	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1287	2.3481315	5863.5654	629.253535	12.339550	2000-2009 –> 2010-2019	4.7514708	2.4033393	10317.6381	982.725834	5	15
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1287	2.3502905	5865.9310	87.950691	12.288211	2000-2009 –> 2010-2019	4.7723714	2.4220809	10335.0268	144.430851	6	17
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1287	2.3577612	5872.0998	79.054349	12.689458	2000-2009 –> 2010-2019	4.7799764	2.4222152	10339.3029	135.281188	7	19
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1287	2.4448224	5967.4330	203.507492	7.874197	2000-2009 –> 2010-2019	4.7954263	2.3506039	10378.5962	326.236730	11	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1773	3.1350922	9097.4234	215.855318	13.722607	1982-1999 –> 2000-2009	5.1459030	2.0108107	17306.0576	693.069216	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1773	3.4984014	9486.2335	153.203147	10.630833	1982-1999 –> 2000-2009	5.6214011	2.1229997	17904.9780	443.176424	6	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1773	3.4672831	9454.5508	199.083451	11.553384	1982-1999 –> 2000-2009	5.6485305	2.1812474	17978.0439	662.170217	5	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1773	3.4155536	9401.2482	43.485929	10.289696	1982-1999 –> 2000-2009	5.6572376	2.2416840	18030.5103	100.638768	3	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1773	3.3565470	9339.4527	238.579143	14.459982	1982-1999 –> 2000-2009	5.7220127	2.3654657	18176.7177	823.247358	2	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	1773	3.4998255	9485.6768	32.422030	10.724010	1982-1999 –> 2000-2009	5.7612129	2.2613873	18146.8057	89.560015	7	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1773	3.4663121	9451.5575	191.592039	16.247617	1982-1999 –> 2000-2009	5.8616881	2.3953761	18335.4504	637.349177	4	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1773	3.5493806	9537.5335	180.235704	11.471193	1982-1999 –> 2000-2009	5.9418265	2.3924459	18418.6894	546.479260	8	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1773	3.7336948	9715.0504	147.801361	13.225901	1982-1999 –> 2000-2009	6.1668009	2.4331062	18659.4254	433.559952	13	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1773	3.7157359	9699.9532	216.308283	12.105520	1982-1999 –> 2000-2009	6.1810265	2.4652906	18697.1839	720.543136	12	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1998	3.6073293	10810.8173	482.818222	10.101954	2000-2009 –> 2010-2019	6.7424216	3.1350922	19908.2408	698.673540	11	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1998	3.6164531	10820.9114	691.104551	12.214512	2000-2009 –> 2010-2019	6.9730001	3.3565470	20160.3641	929.683695	13	15
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1998	3.5708806	10770.2360	55.233117	10.428739	2000-2009 –> 2010-2019	6.9864342	3.4155536	20171.4842	98.719047	8	11
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1998	3.5194440	10712.2573	740.529024	10.376850	2000-2009 –> 2010-2019	7.1035190	3.5840750	20284.2838	996.448128	4	13
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1998	3.5268625	10720.6714	466.285299	10.923955	2000-2009 –> 2010-2019	7.1146172	3.5877547	20296.3367	627.090248	5	15
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1998	3.6230038	10828.1430	483.310003	11.665935	2000-2009 –> 2010-2019	7.1723843	3.5493806	20365.6764	663.545707	14	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1998	3.4438387	10625.4791	50.557404	12.519004	2000-2009 –> 2010-2019	7.1862070	3.7423683	20350.7574	95.850162	1	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	1998	3.6085448	10810.1635	55.093887	10.678505	2000-2009 –> 2010-2019	7.1968165	3.5882717	20384.3397	87.491352	12	23
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1998	3.7751410	10992.5156	460.536258	10.833790	2000-2009 –> 2010-2019	7.2424241	3.4672831	20447.0663	659.619709	28	33
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1998	3.7990299	11017.7224	314.663699	10.969879	2000-2009 –> 2010-2019	7.2974313	3.4984014	20503.9559	467.866846	29	35
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3379	2.3446051	15361.7932	19.394744	13.377677	1982-1999 –> 2000-2009	3.9776385	1.6330334	29547.1953	35.735957	1	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3379	2.3448984	15362.6387	18.149224	13.193214	1982-1999 –> 2000-2009	3.9776512	1.6327527	29546.7649	34.189909	2	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3379	2.3449687	15362.8411	18.864874	12.832366	1982-1999 –> 2000-2009	3.9782678	1.6332991	29549.4506	34.371206	3	7
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3379	2.3756674	15450.7381	26.669177	11.892105	1982-1999 –> 2000-2009	4.0079844	1.6323170	29632.8835	61.076344	7	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3379	2.3839142	15474.1569	393.410706	11.829248	1982-1999 –> 2000-2009	4.0591635	1.6752494	29848.9889	1037.322887	8	14
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3379	2.3596144	15402.9174	17.791348	12.575707	1982-1999 –> 2000-2009	4.1249999	1.7653856	30164.7149	32.239580	5	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3379	2.3593808	15402.2484	17.629267	12.788989	1982-1999 –> 2000-2009	4.1263298	1.7669490	30170.6159	31.606842	4	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3379	2.3676671	15425.9415	18.392297	12.018620	1982-1999 –> 2000-2009	4.1409898	1.7733227	30221.0333	32.668196	6	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	3379	2.3917363	15494.2951	17.581679	11.202395	1982-1999 –> 2000-2009	4.1429249	1.7511886	30196.1646	31.372713	10	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3379	2.4020737	15523.4411	337.081883	11.101161	1982-1999 –> 2000-2009	4.1879450	1.7858712	30370.8681	923.318362	11	22
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3894	2.0646350	16710.6308	996.900221	12.886775	2000-2009 –> 2010-2019	4.4492781	2.3846431	32186.8538	1766.994305	1	13
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3894	2.0654464	16713.6909	795.912461	12.255116	2000-2009 –> 2010-2019	4.4497237	2.3842773	32188.8771	1405.667861	2	13
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3894	2.1042550	16858.6655	918.549644	12.767408	2000-2009 –> 2010-2019	4.4632521	2.3589970	32261.8146	1645.687796	3	7
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3894	2.1116253	16883.8958	758.168164	12.465133	2000-2009 –> 2010-2019	4.5076860	2.3960607	32390.3986	1337.510325	4	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3894	2.2037908	17218.6070	562.469899	12.898500	2000-2009 –> 2010-2019	4.5630369	2.3592462	32622.4698	1019.728563	5	10
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3894	2.2297044	17309.6491	19.784728	11.933447	2000-2009 –> 2010-2019	4.5743095	2.3446051	32671.4423	39.179472	7	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3894	2.2333601	17322.4076	20.002624	11.877472	2000-2009 –> 2010-2019	4.5782585	2.3448984	32685.0462	38.151848	8	10
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3894	2.2624544	17423.2078	19.906606	12.121452	2000-2009 –> 2010-2019	4.6074231	2.3449687	32786.0489	38.771480	9	12
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3894	2.2866896	17506.1884	631.385771	14.315839	2000-2009 –> 2010-2019	4.6706038	2.3839142	32980.3452	1024.796477	10	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3894	2.3077027	17577.4281	31.408264	15.175702	2000-2009 –> 2010-2019	4.6833701	2.3756674	33028.1662	58.077441	11	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1320	1.2062582	4255.0589	30.358157	12.485767	1982-1999 –> 2000-2009	2.0415437	0.8352856	7423.4431	66.578929	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1320	1.2426479	4333.5232	27.739945	12.523202	1982-1999 –> 2000-2009	2.1282015	0.8855536	7650.6940	58.696506	3	5
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1320	1.2445589	4337.5800	24.753100	12.632417	1982-1999 –> 2000-2009	2.1318928	0.8873339	7659.8641	55.013453	4	8
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1320	1.2472027	4343.1821	27.516669	12.557962	1982-1999 –> 2000-2009	2.1340299	0.8868272	7664.0120	54.901390	5	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1320	1.2108119	4263.0062	29.482008	12.427993	1982-1999 –> 2000-2009	2.1590741	0.9482622	7752.3695	62.906180	2	8
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1320	1.2523141	4353.9795	25.584261	13.451041	1982-1999 –> 2000-2009	2.2087355	0.9564214	7867.1557	57.648798	6	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1320	1.2559537	4359.6411	25.179816	13.517333	1982-1999 –> 2000-2009	2.2538035	0.9978497	7978.7782	55.252255	7	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1320	1.3473639	4545.1138	22.125313	13.945862	1982-1999 –> 2000-2009	2.2573712	0.9100073	7929.6368	47.863406	8	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	1320	1.3653687	4580.1585	21.143530	10.876932	1982-1999 –> 2000-2009	2.3928908	1.0275221	8273.9003	45.990721	9	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1320	1.4112519	4667.4174	23.997837	10.839365	1982-1999 –> 2000-2009	2.5037290	1.0924771	8517.2228	51.649370	13	23
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1461	1.1724110	4624.9185	25.474766	5.084366	2000-2009 –> 2010-2019	2.3786692	1.2062582	8879.9774	55.832922	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1461	1.2153951	4728.1306	21.206231	5.850561	2000-2009 –> 2010-2019	2.4262070	1.2108119	8991.1369	50.688239	2	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1461	1.2208991	4743.3331	29.314537	5.213873	2000-2009 –> 2010-2019	2.4635470	1.2426479	9076.8563	57.054482	3	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1461	1.2234618	4749.4601	27.934616	5.216012	2000-2009 –> 2010-2019	2.4706645	1.2472027	9092.6422	55.451285	4	9
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1461	1.2265900	4756.9216	29.483447	5.233725	2000-2009 –> 2010-2019	2.4711488	1.2445589	9094.5016	54.236546	5	9
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1461	1.3112941	4952.0428	25.129814	5.750197	2000-2009 –> 2010-2019	2.5636082	1.2523141	9306.0223	50.714075	7	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1461	1.3270668	4984.9799	18.744999	5.744650	2000-2009 –> 2010-2019	2.5830205	1.2559537	9344.6211	43.924815	8	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1461	1.2623106	4838.8003	26.650720	5.084013	2000-2009 –> 2010-2019	2.6096745	1.3473639	9383.9140	48.776033	6	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1461	1.4958523	5334.8166	16.300351	7.527051	2000-2009 –> 2010-2019	2.8865329	1.3906806	9963.4685	41.018352	10	21
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1461	1.4903196	5323.9889	17.929561	7.516541	2000-2009 –> 2010-2019	2.8882200	1.3979004	9966.3111	45.643579	9	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1311	2.6559606	6295.6432	37.711491	23.033270	1982-1999 –> 2000-2009	3.3803942	0.7244336	9452.4225	73.616994	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1311	2.6724446	6311.8661	58.607949	23.099305	1982-1999 –> 2000-2009	3.4435289	0.7710843	9647.5055	108.615422	3	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1311	2.6804569	6319.7154	37.228470	23.157164	1982-1999 –> 2000-2009	3.4519044	0.7714475	9656.7045	61.502817	4	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1311	2.7213505	6359.4151	48.615868	23.431051	1982-1999 –> 2000-2009	3.4933453	0.7719948	9698.4366	97.145089	9	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	1311	2.6808954	6318.1443	14.461416	23.410829	1982-1999 –> 2000-2009	3.5461042	0.8652088	9981.8701	31.894926	5	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	1311	2.6565723	6294.2470	36.691096	22.958250	1982-1999 –> 2000-2009	3.5873350	0.9307628	10167.2869	68.827893	2	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1311	2.6940438	6330.9725	50.153012	23.453271	1982-1999 –> 2000-2009	3.6297705	0.9357266	10219.2566	92.708884	7	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1311	2.6994049	6336.1851	15.858384	23.481100	1982-1999 –> 2000-2009	3.6377705	0.9383656	10232.5404	35.012984	8	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1311	2.7261362	6362.0221	48.078752	23.571077	1982-1999 –> 2000-2009	3.6758456	0.9497094	10292.8165	85.632894	10	21
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1311	2.9293603	6550.5406	23.835732	24.669206	1982-1999 –> 2000-2009	3.7016745	0.7723142	9888.7479	47.437388	23	28
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1449	1.1371207	4498.4750	23.067780	8.815103	2000-2009 –> 2010-2019	3.7930813	2.6559606	10794.1182	60.779271	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1449	1.1819705	4610.5801	51.466475	8.987232	2000-2009 –> 2010-2019	3.8544151	2.6724446	10922.4462	110.074424	2	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1449	1.1843597	4616.4320	25.755119	8.987766	2000-2009 –> 2010-2019	3.8648166	2.6804569	10936.1475	62.983588	3	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1449	1.1888693	4627.4456	48.542740	9.004989	2000-2009 –> 2010-2019	3.9102198	2.7213505	10986.8608	97.158608	4	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	1449	1.3150986	4917.8799	22.370215	8.353220	2000-2009 –> 2010-2019	3.9716709	2.6565723	11212.1268	59.061310	6	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1449	1.2015704	4656.2417	22.449429	8.876596	2000-2009 –> 2010-2019	4.1309306	2.9293603	11206.7824	46.285161	5	28
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1449	1.3534669	5003.2196	22.675436	9.925656	2000-2009 –> 2010-2019	4.1807262	2.8272593	11462.7415	55.197228	7	25
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1449	1.4288540	5160.3010	625.040409	9.828690	2000-2009 –> 2010-2019	4.1978455	2.7689915	11565.2207	1186.379526	8	21
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	1449	1.4408265	5182.4825	19.236674	9.537828	2000-2009 –> 2010-2019	4.2787064	2.8378799	11649.8354	49.886556	9	30
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	1449	1.7822562	5798.7804	23.065272	8.434817	2000-2009 –> 2010-2019	4.4631516	2.6808954	12116.9247	37.526687	12	17
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1414	3.6322668	7674.4735	95.572655	20.858739	1982-1999 –> 2000-2009	6.7628292	3.1305625	16444.1907	172.860784	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1414	3.6475524	7684.3495	93.068818	20.347423	1982-1999 –> 2000-2009	6.8027395	3.1551871	16478.8628	161.550473	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1414	3.7669686	7775.4514	70.666317	20.389606	1982-1999 –> 2000-2009	6.9510605	3.1840919	16601.1528	129.101603	11	14
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1414	3.6998773	7726.6296	111.485141	20.189411	1982-1999 –> 2000-2009	6.9755904	3.2757130	16651.3511	198.187431	3	8
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1414	3.7000770	7726.7822	28.469077	20.187001	1982-1999 –> 2000-2009	6.9765588	3.2764818	16652.3062	51.347257	5	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	1414	3.7879635	7789.1693	69.064387	19.765892	1982-1999 –> 2000-2009	6.9844253	3.1964618	16626.1313	122.970780	12	16
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1414	3.7075040	7732.4531	28.815351	20.389970	1982-1999 –> 2000-2009	6.9889083	3.2814043	16663.1113	66.277812	9	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1414	3.7000806	7724.7850	21.732322	20.178567	1982-1999 –> 2000-2009	7.0087299	3.3086493	16681.7217	42.379161	6	15
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1414	3.6998965	7724.6443	98.773399	20.170285	1982-1999 –> 2000-2009	7.0098143	3.3099178	16682.8920	183.138012	4	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	1414	3.7079886	7730.8227	18.513834	20.487917	1982-1999 –> 2000-2009	7.0125537	3.3045651	16683.5351	37.492786	10	18
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1715	2.7998178	8412.3306	124.863030	17.289319	2000-2009 –> 2010-2019	6.4320846	3.6322668	16086.8041	220.435685	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1715	2.8891785	8520.0938	38.269797	18.411884	2000-2009 –> 2010-2019	6.5892555	3.7000770	16246.8761	66.738875	2	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1715	2.8896385	8520.6399	149.012341	18.398677	2000-2009 –> 2010-2019	6.5895158	3.6998773	16247.2695	260.497482	3	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1715	2.8896753	8520.6835	33.186320	18.499717	2000-2009 –> 2010-2019	6.5971793	3.7075040	16253.1366	62.001672	4	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1715	3.0361981	8688.3381	124.420128	17.912168	2000-2009 –> 2010-2019	6.6837505	3.6475524	16372.6877	217.488946	6	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1715	2.9829152	8627.6098	27.140432	19.650868	2000-2009 –> 2010-2019	6.6843501	3.7014350	16353.4298	46.291958	5	12
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	1715	3.0468861	8700.3912	30.616890	18.941858	2000-2009 –> 2010-2019	6.7548747	3.7079886	16431.2139	49.130725	7	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1715	3.0799144	8737.3724	37.642679	18.925022	2000-2009 –> 2010-2019	6.7799950	3.7000806	16462.1573	59.375001	8	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1715	3.0807904	8738.3478	139.312466	18.962821	2000-2009 –> 2010-2019	6.7806869	3.6998965	16462.9920	238.085865	9	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + phosphate_star	1715	3.0827242	8738.5001	14.890085	19.151763	2000-2009 –> 2010-2019	6.7850715	3.7023473	16463.0170	24.413755	10	18
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	784	0.5961690	1427.8772	57.455645	4.798624	1982-1999 –> 2000-2009	0.9781277	0.3819588	2302.8285	135.890870	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	784	0.5970101	1428.0878	51.251453	4.746034	1982-1999 –> 2000-2009	0.9794337	0.3824236	2303.3331	129.073962	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	784	0.6327990	1521.3749	212.308559	5.049425	1982-1999 –> 2000-2009	1.0434764	0.4106774	2533.0525	505.637970	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	784	0.6328539	1519.5111	189.121261	5.036732	1982-1999 –> 2000-2009	1.0486107	0.4157568	2552.3721	448.160202	4	10
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	784	0.6382570	1534.8413	41.486535	5.122156	1982-1999 –> 2000-2009	1.0500729	0.4118159	2551.7399	89.727743	5	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	784	0.6382635	1532.8572	40.669440	5.126915	1982-1999 –> 2000-2009	1.0561123	0.4178488	2575.1845	88.647954	6	13
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	784	0.6455032	1552.5427	187.377336	5.107329	1982-1999 –> 2000-2009	1.0584927	0.4129895	2574.8086	442.686560	7	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	784	0.6497789	1560.8947	183.723239	5.277019	1982-1999 –> 2000-2009	1.0748819	0.4251030	2635.6833	436.893337	8	17
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	784	0.7043508	1687.3450	33.633215	6.075085	1982-1999 –> 2000-2009	1.1230197	0.4186689	2733.3702	69.611874	9	17
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate_star	784	0.7436469	1770.4714	26.691098	6.801364	1982-1999 –> 2000-2009	1.1821301	0.4384832	2901.7073	52.494965	13	23
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	994	0.6687821	2035.0834	105.454892	2.485718	2000-2009 –> 2010-2019	1.2649510	0.5961690	3462.9605	162.910537	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	994	0.7018026	2128.8927	105.363636	2.745763	2000-2009 –> 2010-2019	1.2988126	0.5970101	3556.9806	156.615089	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	994	0.7023705	2132.5010	440.304111	2.715258	2000-2009 –> 2010-2019	1.3351695	0.6327990	3653.8759	652.612670	3	6
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	994	0.7038642	2136.7242	81.602632	2.739803	2000-2009 –> 2010-2019	1.3421212	0.6382570	3671.5655	123.089167	4	9
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	994	0.7047382	2139.1912	362.101623	2.729151	2000-2009 –> 2010-2019	1.3502414	0.6455032	3691.7339	549.478959	5	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	994	0.7445900	2246.5457	336.454121	2.995320	2000-2009 –> 2010-2019	1.3774439	0.6328539	3766.0567	525.575382	7	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	994	0.7508242	2263.1213	81.441541	3.071598	2000-2009 –> 2010-2019	1.3890876	0.6382635	3795.9784	122.110981	8	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	994	0.7086275	2148.1323	52.885599	2.821710	2000-2009 –> 2010-2019	1.4129783	0.7043508	3835.4773	86.518814	6	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	994	0.7760737	2328.8763	332.816182	3.238640	2000-2009 –> 2010-2019	1.4258526	0.6497789	3889.7709	516.539421	10	18
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	994	0.7698695	2314.9197	99.090251	2.795656	2000-2009 –> 2010-2019	1.5072882	0.7374187	4076.2034	150.962914	9	21
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1240	0.5941116	2241.6609	89.924673	4.402543	1982-1999 –> 2000-2009	1.0257707	0.4316591	3619.3596	157.991881	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1240	0.6191972	2344.2256	238.044401	4.533885	1982-1999 –> 2000-2009	1.0760603	0.4568630	3855.6212	435.206743	3	6
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1240	0.6197556	2346.4610	202.779660	4.741639	1982-1999 –> 2000-2009	1.0817647	0.4620091	3884.2463	370.947554	4	9
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1240	0.6224469	2357.2070	53.051445	4.669364	1982-1999 –> 2000-2009	1.0830419	0.4605950	3887.7699	90.749820	5	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1240	0.6309085	2388.6933	88.280028	4.344082	1982-1999 –> 2000-2009	1.0865074	0.4555989	3891.5610	156.292421	6	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1240	0.6189065	2341.0610	77.073960	5.233512	1982-1999 –> 2000-2009	1.1175201	0.4986136	4056.4836	137.442057	2	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1240	0.6334027	2398.4785	200.421466	5.047285	1982-1999 –> 2000-2009	1.1295955	0.4961927	4102.4344	368.372747	7	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	1240	0.6392646	2419.3244	77.073158	4.885442	1982-1999 –> 2000-2009	1.1496859	0.5104212	4187.8890	137.405573	8	19
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1240	0.6408835	2427.5968	209.091396	5.357120	1982-1999 –> 2000-2009	1.1528197	0.5119362	4205.1436	384.828687	9	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1240	0.6645827	2517.6497	210.664047	4.427561	1982-1999 –> 2000-2009	1.1537535	0.4891708	4188.0261	381.281418	14	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1472	0.6280792	2822.1331	156.892872	2.891879	2000-2009 –> 2010-2019	1.2221908	0.5941116	5063.7940	246.817544	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1472	0.6286543	2822.8275	153.746865	2.905736	2000-2009 –> 2010-2019	1.2475608	0.6189065	5163.8885	230.820825	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1472	0.6494040	2920.4294	332.384384	2.967745	2000-2009 –> 2010-2019	1.2691596	0.6197556	5266.8904	535.164045	3	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1472	0.6513683	2929.3208	426.062952	2.988081	2000-2009 –> 2010-2019	1.2705655	0.6191972	5273.5464	664.107352	4	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1472	0.6539021	2940.7510	101.780855	3.008111	2000-2009 –> 2010-2019	1.2763490	0.6224469	5297.9579	154.832301	7	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1472	0.6516809	2928.7337	326.506503	2.946482	2000-2009 –> 2010-2019	1.2850837	0.6334027	5327.2122	526.927969	6	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1472	0.6513742	2927.3475	357.223004	2.989652	2000-2009 –> 2010-2019	1.2922577	0.6408835	5354.9444	566.314399	5	14
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1472	0.6539365	2938.9057	100.089610	3.004675	2000-2009 –> 2010-2019	1.2961056	0.6421691	5371.4723	145.717164	8	18
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1472	0.6673759	3000.7959	150.888828	3.166801	2000-2009 –> 2010-2019	1.3221421	0.6547662	5483.5403	232.260372	9	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1472	0.6772846	3042.1852	75.557129	3.171250	2000-2009 –> 2010-2019	1.3321307	0.6548460	5523.2320	124.323618	10	22
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2158	0.6535289	4300.2482	920.594117	3.600495	1982-1999 –> 2000-2009	1.1510329	0.4975040	7280.4486	1760.930367	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2158	0.6787825	4465.8850	155.447821	3.888036	1982-1999 –> 2000-2009	1.1806885	0.5019060	7484.3621	278.742978	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2158	0.6789892	4467.1988	950.294894	3.829513	1982-1999 –> 2000-2009	1.1863738	0.5073847	7530.3828	1618.260373	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2158	0.6789927	4465.2214	110.202784	3.832678	1982-1999 –> 2000-2009	1.1960709	0.5170782	7604.3373	187.134429	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2158	0.6961616	4572.9981	335.043792	3.876809	1982-1999 –> 2000-2009	1.2182756	0.5221140	7752.0248	548.392069	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2158	0.7059201	4633.0776	343.272815	3.897649	1982-1999 –> 2000-2009	1.2373741	0.5314540	7885.1199	563.811322	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2158	0.7266071	4757.7405	529.119540	4.019614	1982-1999 –> 2000-2009	1.2736675	0.5470604	8128.9681	872.203129	7	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	2158	0.7372036	4820.2287	110.100791	4.134249	1982-1999 –> 2000-2009	1.2961117	0.5589080	8279.6872	202.490104	8	17
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2158	0.7684372	5001.3194	753.187263	4.684694	1982-1999 –> 2000-2009	1.3100419	0.5416047	8333.2731	1153.531853	9	16
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2158	0.7812642	5072.7692	161.244747	6.278895	1982-1999 –> 2000-2009	1.4326017	0.6513375	9164.4589	299.445388	10	22
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2865	0.6527941	5700.7102	244.661932	3.325047	2000-2009 –> 2010-2019	1.3315766	0.6787825	10166.5951	400.109754	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2865	0.6590479	5753.3423	157.390313	2.965231	2000-2009 –> 2010-2019	1.3380406	0.6789927	10218.5636	267.593096	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2865	0.6830023	5957.9146	312.082038	3.180626	2000-2009 –> 2010-2019	1.3791639	0.6961616	10530.9127	647.125830	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2865	0.6908765	6023.5968	319.435060	3.206227	2000-2009 –> 2010-2019	1.3967965	0.7059201	10656.6744	662.707875	5	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	2865	0.6926713	6038.4632	194.187971	3.696252	2000-2009 –> 2010-2019	1.4298749	0.7372036	10858.6919	304.288762	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2865	0.7073940	6158.9785	612.590586	3.303374	2000-2009 –> 2010-2019	1.4340012	0.7266071	10916.7190	1141.710126	7	12
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2865	0.6843511	5971.2195	868.687082	3.627171	2000-2009 –> 2010-2019	1.4527883	0.7684372	10972.5389	1621.874345	4	11
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2865	0.7894598	6789.9097	245.641457	3.048407	2000-2009 –> 2010-2019	1.5746864	0.7852266	11884.5132	392.789665	8	17
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2865	0.8108210	6942.8913	249.843716	3.277420	2000-2009 –> 2010-2019	1.5920853	0.7812642	12015.6605	411.088462	13	21
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	2865	0.7944870	6822.2815	157.306268	2.917600	2000-2009 –> 2010-2019	1.5956049	0.8011179	11999.3595	259.761185	9	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2645	0.7730614	6158.5558	182.210748	4.527328	1982-1999 –> 2000-2009	1.2839099	0.5108485	11321.1517	390.453314	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2645	0.7833392	6228.4223	50.958618	4.467527	1982-1999 –> 2000-2009	1.3036386	0.5202995	11517.3223	88.870969	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	2645	0.7849151	6237.0539	31.514534	4.436857	1982-1999 –> 2000-2009	1.3057683	0.5208532	11531.2830	62.561578	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2645	0.8209142	6476.2735	633.917968	4.349360	1982-1999 –> 2000-2009	1.3496103	0.5286962	11875.4780	999.267173	4	8
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2645	0.8220026	6483.2826	635.662996	4.351643	1982-1999 –> 2000-2009	1.3507248	0.5287222	11882.8262	993.532733	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2645	0.8220656	6481.6884	89.984366	4.355005	1982-1999 –> 2000-2009	1.3511123	0.5290467	11883.4591	184.094890	6	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	2645	0.8251271	6501.3526	10.697342	4.335309	1982-1999 –> 2000-2009	1.3539160	0.5287889	11899.7651	30.522899	7	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2645	0.8265027	6510.1645	305.688815	4.383857	1982-1999 –> 2000-2009	1.3563569	0.5298542	11922.4436	512.122074	8	16
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2645	0.8271050	6516.0176	651.700818	4.379764	1982-1999 –> 2000-2009	1.3582654	0.5311605	11947.2625	1016.422492	9	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	2645	0.8586742	6710.1703	10.085041	4.418741	1982-1999 –> 2000-2009	1.3906870	0.5320128	12148.4619	29.663818	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4656	0.6559939	9301.1807	713.806088	4.113312	2000-2009 –> 2010-2019	1.4290553	0.7730614	15459.7366	896.016837	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4656	0.6991503	9894.4876	308.625629	4.043197	2000-2009 –> 2010-2019	1.4824894	0.7833392	16122.9099	359.584248	3	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	4656	0.7045759	9964.4734	256.947569	3.907592	2000-2009 –> 2010-2019	1.4894910	0.7849151	16201.5273	288.462104	4	7
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4656	0.7340897	10348.5924	887.914143	4.227225	2000-2009 –> 2010-2019	1.5550038	0.8209142	16824.8659	1521.832111	7	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4656	0.7338307	10345.3067	861.260606	4.231681	2000-2009 –> 2010-2019	1.5558333	0.8220026	16828.5893	1496.923602	6	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4656	0.7349020	10356.8914	713.369565	4.235827	2000-2009 –> 2010-2019	1.5569677	0.8220656	16838.5797	803.353931	9	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	4656	0.7349007	10356.8743	71.045399	4.182416	2000-2009 –> 2010-2019	1.5600278	0.8251271	16858.2270	81.742742	8	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4656	0.7386147	10403.8162	857.419245	4.161764	2000-2009 –> 2010-2019	1.5651174	0.8265027	16913.9807	1163.108060	10	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	4656	0.7396939	10415.4119	16.169105	4.107700	2000-2009 –> 2010-2019	1.5983681	0.8586742	17125.5822	26.254145	11	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4656	0.6957848	9849.5552	740.898442	5.450796	2000-2009 –> 2010-2019	1.6392057	0.9434209	17061.6357	1607.155486	2	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2477	5.4475314	15441.2568	111.128683	26.769121	1982-1999 –> 2000-2009	10.6773859	5.2298545	23556.5335	210.056945	1	3
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2477	5.6405944	15613.7893	23.861998	37.014686	1982-1999 –> 2000-2009	10.7820864	5.1414919	23684.1482	53.127901	3	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2477	5.6051774	15582.5852	111.011919	17.889364	1982-1999 –> 2000-2009	10.9288211	5.3236437	23744.7156	216.318316	2	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2477	5.7306785	15692.2828	14.913287	40.361429	1982-1999 –> 2000-2009	10.9744508	5.2437723	23814.5652	27.354687	4	7
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2477	5.8055181	15756.5606	17.301295	39.182855	1982-1999 –> 2000-2009	11.0963846	5.2908665	23902.4112	31.743530	5	9
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2477	5.8439403	15787.2392	110.893808	19.914648	1982-1999 –> 2000-2009	11.2939854	5.4500451	24009.2258	209.788502	6	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2477	5.9984119	15918.4865	18.496924	16.390075	1982-1999 –> 2000-2009	11.3081373	5.3097254	24073.7163	42.990683	7	12
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2477	6.1678971	16056.5208	7.270519	17.962010	1982-1999 –> 2000-2009	11.6060330	5.4381359	24274.7410	12.855376	9	16
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2477	6.2005855	16082.7065	10.387880	18.163618	1982-1999 –> 2000-2009	11.6672400	5.4666545	24314.7142	18.526414	10	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	2477	6.2786406	16142.6799	17.259278	19.943358	1982-1999 –> 2000-2009	11.7843937	5.5057531	24391.4737	40.270971	11	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3664	5.2765778	22600.4809	157.229133	46.403224	2000-2009 –> 2010-2019	10.7241092	5.4475314	38041.7377	268.357816	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3664	5.3869575	22752.1926	157.244661	35.515792	2000-2009 –> 2010-2019	10.9921349	5.6051774	38334.7778	268.256579	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3664	5.4692202	22863.2505	30.011494	42.314967	2000-2009 –> 2010-2019	11.1098146	5.6405944	38477.0398	53.873492	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3664	5.5562097	22978.8872	16.432717	46.434736	2000-2009 –> 2010-2019	11.2868881	5.7306785	38671.1700	31.346004	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3664	5.5933854	23025.7544	157.184446	30.032277	2000-2009 –> 2010-2019	11.4373257	5.8439403	38812.9937	268.078254	5	11
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3664	5.6447401	23094.7281	20.063066	45.771473	2000-2009 –> 2010-2019	11.4502582	5.8055181	38851.2887	37.364362	6	11
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3664	5.8120033	23308.7142	27.607849	22.425908	2000-2009 –> 2010-2019	11.8104152	5.9984119	39227.2007	46.104772	7	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3664	5.8397672	23343.6367	15.347419	59.148540	2000-2009 –> 2010-2019	11.9677935	6.1280264	39368.0297	27.185558	8	16
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3664	5.9789886	23516.2880	9.899863	22.068602	2000-2009 –> 2010-2019	12.1468857	6.1678971	39572.8088	17.170383	9	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3664	6.0426433	23593.8925	10.980502	21.551574	2000-2009 –> 2010-2019	12.2432288	6.2005855	39676.5989	21.368382	11	21
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2494	4.2788820	14342.6799	60.993009	16.775201	1982-1999 –> 2000-2009	7.8112204	3.5323384	25589.6451	113.416389	5	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2494	4.1841682	14231.0293	556.538554	16.840833	1982-1999 –> 2000-2009	7.8164350	3.6322669	25594.8823	1275.397208	2	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2494	4.1068306	14137.9716	60.904010	20.579283	1982-1999 –> 2000-2009	7.8695105	3.7626798	25649.6247	109.393947	1	7
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2494	4.3887233	14469.1088	557.639527	15.304968	1982-1999 –> 2000-2009	7.9906915	3.6019683	25797.8642	1298.441283	10	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2494	4.3869744	14467.1206	30.499848	16.896137	1982-1999 –> 2000-2009	8.0542015	3.6672271	25871.1091	50.834878	9	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2494	4.4190941	14503.5078	33.596316	16.921512	1982-1999 –> 2000-2009	8.1183197	3.6992256	25943.8977	55.696469	11	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2494	4.3376952	14410.7730	61.033963	14.333675	1982-1999 –> 2000-2009	8.1268842	3.7891890	25951.8425	114.670403	8	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2494	4.3049220	14372.9433	20.212130	15.275952	1982-1999 –> 2000-2009	8.1504987	3.8455767	25975.9056	31.174847	6	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2494	4.2455995	14303.7299	30.404742	21.021755	1982-1999 –> 2000-2009	8.1610771	3.9154776	25982.1698	49.249049	3	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2494	4.3109241	14379.8930	29.362332	15.450560	1982-1999 –> 2000-2009	8.1849068	3.8739827	26013.6917	45.449399	7	17
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2876	3.5025299	15385.7833	66.509503	17.010963	2000-2009 –> 2010-2019	7.6093606	4.1068306	29523.7549	127.413513	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2876	3.5970200	15538.9025	21.626613	18.177782	2000-2009 –> 2010-2019	7.8426194	4.2455995	29842.6325	52.031355	2	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2876	3.6915001	15688.0357	558.001835	34.594533	2000-2009 –> 2010-2019	7.8756683	4.1841682	29919.0650	1114.540389	4	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2876	3.6239376	15581.7863	22.121420	18.353755	2000-2009 –> 2010-2019	7.8986612	4.2747236	29919.6162	55.094624	3	7
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2876	3.9040092	16009.9816	16.067835	16.349626	2000-2009 –> 2010-2019	8.2089312	4.3049220	30382.9250	36.279965	6	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2876	3.8772788	15970.4627	65.889192	15.296952	2000-2009 –> 2010-2019	8.2149740	4.3376952	30381.2357	126.923156	5	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2876	3.9287952	16046.3848	21.671575	16.698913	2000-2009 –> 2010-2019	8.2397193	4.3109241	30426.2779	51.033907	7	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2876	4.0335172	16197.6966	58.081004	17.649468	2000-2009 –> 2010-2019	8.3123992	4.2788820	30540.3765	119.074014	8	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2876	4.1496942	16361.0297	21.062223	18.537967	2000-2009 –> 2010-2019	8.5366685	4.3869744	30828.1503	51.562070	13	22
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2876	4.1847887	16409.4706	23.042455	18.735571	2000-2009 –> 2010-2019	8.6038828	4.4190941	30912.9783	56.638771	15	26
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2214	4.3187333	12775.0562	127.581995	21.572415	1982-1999 –> 2000-2009	7.0781155	2.7593822	21999.1054	242.449041	4	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2214	4.2344414	12687.7772	739.877204	23.083233	1982-1999 –> 2000-2009	7.1327821	2.8983406	22097.7402	1552.659682	1	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2214	4.2959101	12751.5935	128.751474	24.885874	1982-1999 –> 2000-2009	7.2624933	2.9665833	22249.6196	243.313319	3	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2214	4.4104943	12868.1533	57.181486	22.568108	1982-1999 –> 2000-2009	7.2631121	2.8526178	22217.9458	103.071299	9	11
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2214	4.4218884	12879.5778	62.509285	22.590944	1982-1999 –> 2000-2009	7.2884651	2.8665767	22247.8417	112.733576	10	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2214	4.2795692	12734.7180	121.110360	16.224361	1982-1999 –> 2000-2009	7.4106817	3.1311125	22436.9950	202.041660	2	12
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2214	4.3850371	12842.5210	28.747127	25.670379	1982-1999 –> 2000-2009	7.4469377	3.0619006	22460.2159	49.879400	6	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2214	4.4019401	12859.5568	43.134713	25.708428	1982-1999 –> 2000-2009	7.4813218	3.0793817	22498.7941	75.062868	8	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2214	4.3805841	12838.0221	54.880180	16.753823	1982-1999 –> 2000-2009	7.6357733	3.2551891	22687.3529	94.701971	5	18
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2214	4.3885926	12846.1098	58.376933	16.775919	1982-1999 –> 2000-2009	7.6502883	3.2616957	22702.9967	100.177204	7	22
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2637	3.1300067	13515.3012	96.180969	14.052257	2000-2009 –> 2010-2019	7.4095759	4.2795692	26250.0192	217.291329	1	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2637	3.2801072	13762.3404	613.062771	15.587029	2000-2009 –> 2010-2019	7.5145487	4.2344414	26450.1176	1352.939975	4	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2637	3.2367476	13692.1587	48.611028	15.556969	2000-2009 –> 2010-2019	7.6173317	4.3805841	26530.1808	103.491208	2	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2637	3.2533235	13719.0988	49.726104	15.671166	2000-2009 –> 2010-2019	7.6419161	4.3885926	26565.2086	108.103038	3	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2637	3.3460282	13867.2821	106.609564	15.907383	2000-2009 –> 2010-2019	7.6419383	4.2959101	26618.8756	235.361038	5	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2637	3.4960990	14098.6722	24.763949	15.694073	2000-2009 –> 2010-2019	7.8811361	4.3850371	26941.1932	53.511076	8	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2637	3.3519558	13874.6168	514.534928	15.987770	2000-2009 –> 2010-2019	7.9093869	4.5574311	26885.8860	1166.551884	6	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2637	3.5287930	14147.7632	34.778090	15.736950	2000-2009 –> 2010-2019	7.9307331	4.4019401	27007.3200	77.912803	9	17
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	2637	3.4295311	13995.2837	94.212650	16.100432	2000-2009 –> 2010-2019	8.1038476	4.6743165	27118.6868	215.313441	7	22
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2637	3.8869885	14657.6471	96.366598	18.594960	2000-2009 –> 2010-2019	8.2057218	4.3187333	27432.7033	223.948593	14	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3284	3.7148432	17953.0142	146.085356	14.981938	1982-1999 –> 2000-2009	6.4724510	2.7576078	29705.2635	257.115268	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3284	3.7686093	18047.3936	73.216521	16.192333	1982-1999 –> 2000-2009	6.6672693	2.8986601	30040.2882	127.519406	2	4
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3284	3.7722543	18053.7432	83.083090	16.197859	1982-1999 –> 2000-2009	6.6831705	2.9109162	30066.9916	144.880105	3	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3284	3.8073355	18114.5420	50.958608	15.394557	1982-1999 –> 2000-2009	6.8467139	3.0393784	30336.1155	89.335683	4	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3284	3.8089245	18115.2826	48.466639	15.362185	1982-1999 –> 2000-2009	6.8532979	3.0443734	30342.7776	85.024912	5	14
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3284	3.9435837	18345.4747	788.936122	17.442726	1982-1999 –> 2000-2009	6.8598343	2.9162506	30367.5553	1464.237585	8	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3284	3.9485647	18351.7652	753.562333	17.245770	1982-1999 –> 2000-2009	6.8832643	2.9346996	30402.2677	1386.549931	9	14
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3284	3.9180082	18302.7401	144.391767	19.219001	1982-1999 –> 2000-2009	6.9330093	3.0150011	30485.4670	259.719086	6	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3284	3.9426892	18341.9846	143.374890	18.868844	1982-1999 –> 2000-2009	6.9867933	3.0441041	30569.0530	254.319070	7	15
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3284	3.9912509	18424.3879	34.270058	20.815492	1982-1999 –> 2000-2009	7.1663003	3.1750494	30856.6264	61.426863	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3286	3.3485597	17281.7252	125.802362	19.575728	2000-2009 –> 2010-2019	7.0634029	3.7148432	35234.7394	271.887718	5	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3286	3.1618618	16904.6944	121.311768	20.291173	2000-2009 –> 2010-2019	7.0798700	3.9180082	35207.4345	265.703535	1	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3286	3.2115442	17001.9859	671.144445	17.429309	2000-2009 –> 2010-2019	7.1551279	3.9435837	35347.4606	1460.080567	2	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3286	3.4296708	17433.7165	66.578332	20.911402	2000-2009 –> 2010-2019	7.1982801	3.7686093	35481.1101	139.794852	6	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3286	3.4406722	17454.7574	75.438049	20.947909	2000-2009 –> 2010-2019	7.2129265	3.7722543	35508.5006	158.521140	7	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3286	3.2393303	17058.5848	29.137500	21.555281	2000-2009 –> 2010-2019	7.2305812	3.9912509	35482.9727	63.407558	3	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3286	3.2529310	17086.1119	42.084016	21.624980	2000-2009 –> 2010-2019	7.2490538	3.9961228	35518.5121	97.042673	4	15
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3286	3.4490407	17470.7177	46.307357	14.935968	2000-2009 –> 2010-2019	7.2563762	3.8073355	35585.2597	97.265965	8	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3286	3.7224174	17969.8587	40.639133	16.663996	2000-2009 –> 2010-2019	7.5313419	3.8089245	36085.1413	89.105772	14	19
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3286	3.6982289	17927.0272	671.143707	19.652064	2000-2009 –> 2010-2019	7.6467936	3.9485647	36278.7924	1424.706040	12	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4225	3.0402858	21400.0209	736.519200	8.888658	1982-1999 –> 2000-2009	5.5329536	2.4926679	34460.8629	1428.736558	1	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4225	3.1509402	21702.1030	129.899271	9.407501	1982-1999 –> 2000-2009	5.6467911	2.4958509	34770.0838	246.867162	2	5
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4225	3.2189736	21882.6091	134.737835	10.061270	1982-1999 –> 2000-2009	5.6485714	2.4295978	34800.0890	233.640589	3	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4225	3.2328952	21917.0754	697.845602	10.164123	1982-1999 –> 2000-2009	5.7947946	2.5618994	35129.1671	1243.418598	4	11
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4225	3.2767993	22031.0578	126.340485	9.560213	1982-1999 –> 2000-2009	5.8021490	2.5253496	35162.7670	223.997797	8	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4225	3.3129828	22125.8541	63.306161	11.024679	1982-1999 –> 2000-2009	5.8121057	2.4991229	35201.1636	115.339815	10	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4225	3.3204410	22144.8555	70.591483	11.061507	1982-1999 –> 2000-2009	5.8319027	2.5114616	35247.7159	128.156513	11	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4225	3.2704670	22016.7126	23.178608	9.837461	1982-1999 –> 2000-2009	5.8522152	2.5817482	35273.9778	48.124178	6	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4225	3.2736083	22024.8249	34.985778	9.859601	1982-1999 –> 2000-2009	5.8664855	2.5928773	35306.1523	69.978734	7	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4225	3.3578161	22237.4379	21.375841	10.058643	1982-1999 –> 2000-2009	5.9526414	2.5948252	35520.9662	39.949795	12	22
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4366	2.6252610	20832.1257	803.280982	9.640453	2000-2009 –> 2010-2019	5.6655467	3.0402858	42232.1466	1539.800182	2	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4366	2.6141367	20795.0460	151.564399	10.616265	2000-2009 –> 2010-2019	5.8331102	3.2189736	42677.6551	286.302235	1	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4366	2.6448846	20895.1540	777.681003	10.026498	2000-2009 –> 2010-2019	5.8777798	3.2328952	42812.2294	1475.526605	3	7
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4366	2.7406905	21207.8601	137.917613	10.354531	2000-2009 –> 2010-2019	5.8916307	3.1509402	42909.9631	267.816884	5	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4366	2.7417449	21209.2188	134.311193	10.452652	2000-2009 –> 2010-2019	6.0185442	3.2767993	43240.2766	260.651678	6	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4366	2.7362418	21193.6746	55.945266	11.435461	2000-2009 –> 2010-2019	6.0492246	3.3129828	43319.5287	119.251426	4	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4366	2.7456720	21223.7171	62.933759	11.469091	2000-2009 –> 2010-2019	6.0661131	3.3204410	43368.5725	133.525241	7	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4366	2.8580259	21573.9163	23.533272	10.853749	2000-2009 –> 2010-2019	6.1284928	3.2704670	43590.6289	46.711880	8	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4366	2.8654888	21596.6877	32.863194	10.872440	2000-2009 –> 2010-2019	6.1390971	3.2736083	43621.5127	67.848971	10	17
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4366	2.9159854	21749.2259	35.358629	9.804904	2000-2009 –> 2010-2019	6.1849556	3.2689702	43762.0703	81.057354	12	17
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5451	3.0518500	27647.1520	23.977251	9.986162	1982-1999 –> 2000-2009	5.4064099	2.3545599	46104.6721	44.380116	1	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5451	3.1245792	27903.9123	305.949320	9.900644	1982-1999 –> 2000-2009	5.4309895	2.3064103	46193.9502	755.106089	3	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5451	3.0791762	27744.3341	81.767376	9.470226	1982-1999 –> 2000-2009	5.5061320	2.4269558	46447.3351	158.636149	2	11
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5451	3.1822372	28103.2538	254.526282	11.010291	1982-1999 –> 2000-2009	5.5255426	2.3433054	46521.9350	476.548557	4	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5451	3.2422423	28304.9107	200.510436	12.021629	1982-1999 –> 2000-2009	5.5890082	2.3467659	46733.5537	388.746226	9	12
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5451	3.2136851	28210.4620	55.801538	10.229971	1982-1999 –> 2000-2009	5.6002626	2.3865775	46777.4655	131.645771	5	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5451	3.2149806	28214.8561	70.023836	10.154962	1982-1999 –> 2000-2009	5.6063986	2.3914179	46798.2835	162.177216	6	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5451	3.2162891	28217.2922	19.097271	9.956404	1982-1999 –> 2000-2009	5.6257086	2.4094195	46859.5096	32.605175	7	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5451	3.2523374	28340.8026	36.587790	11.213526	1982-1999 –> 2000-2009	5.6707819	2.4184445	47015.3259	75.422522	10	18
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5451	3.2586656	28361.9943	40.252180	11.222195	1982-1999 –> 2000-2009	5.6864105	2.4277450	47067.6307	83.676128	11	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5661	3.0935208	28865.2681	22.098317	13.805505	2000-2009 –> 2010-2019	6.1453707	3.0518500	56512.4202	46.075568	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5661	3.0308734	28633.6311	304.051977	13.620472	2000-2009 –> 2010-2019	6.1554526	3.1245792	56537.5434	610.001297	1	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5661	3.1258429	28982.9505	303.318420	16.209205	2000-2009 –> 2010-2019	6.3080801	3.1822372	57086.2043	557.844702	6	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5661	3.2369054	29378.2443	76.864237	9.828828	2000-2009 –> 2010-2019	6.3160816	3.0791762	57122.5784	158.631613	12	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5661	3.1073847	28915.8957	47.507120	14.000843	2000-2009 –> 2010-2019	6.3210698	3.2136851	57126.3577	103.308659	4	9
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5661	3.1072471	28915.3942	52.081790	13.905443	2000-2009 –> 2010-2019	6.3222277	3.2149806	57130.2503	122.105626	3	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5661	3.1073849	28913.8961	14.858323	13.998051	2000-2009 –> 2010-2019	6.3236740	3.2162891	57131.1883	33.955594	5	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5661	3.1262314	28982.3577	212.710446	16.271157	2000-2009 –> 2010-2019	6.3684738	3.2422423	57287.2684	413.220883	7	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5661	3.1994485	29246.4640	43.180834	16.552292	2000-2009 –> 2010-2019	6.4517859	3.2523374	57587.2666	79.768625	8	18
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5661	3.2048172	29265.4466	47.694206	16.563437	2000-2009 –> 2010-2019	6.4634828	3.2586656	57627.4409	87.946387	10	21
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6462	2.9222536	32211.4791	135.485087	9.416565	1982-1999 –> 2000-2009	5.1808395	2.2585859	51828.2322	261.153351	3	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6462	2.9713498	32426.8088	31.088201	10.504531	1982-1999 –> 2000-2009	5.2608937	2.2895438	52163.0357	52.865510	4	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6462	2.9178380	32191.9358	45.341925	9.662586	1982-1999 –> 2000-2009	5.2610241	2.3431861	52131.4059	75.634396	1	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6462	2.9221262	32210.9154	48.061139	9.686089	1982-1999 –> 2000-2009	5.2742136	2.3520874	52183.6609	84.411356	2	8
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6462	3.0074786	32583.0043	434.691130	9.755614	1982-1999 –> 2000-2009	5.4115485	2.4040700	52747.5924	957.294419	5	14
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	6462	3.0401018	32720.4409	31.021025	13.730293	1982-1999 –> 2000-2009	5.4140788	2.3739770	52772.4820	52.568931	9	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6462	3.0141417	32611.6060	62.933034	9.857764	1982-1999 –> 2000-2009	5.4433991	2.4292575	52867.6622	123.018148	6	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6462	3.0216106	32643.5916	62.851965	9.954820	1982-1999 –> 2000-2009	5.4543313	2.4327206	52912.1500	121.271522	8	20
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6462	3.0425856	32730.9955	39.483650	10.171247	1982-1999 –> 2000-2009	5.4861544	2.4435688	53036.6015	66.255649	11	25
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6462	3.0534007	32776.8535	34.213897	10.087116	1982-1999 –> 2000-2009	5.4875950	2.4341943	53048.7266	57.413771	12	25
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6267	3.2708812	32652.5103	120.712059	12.525084	2000-2009 –> 2010-2019	6.1931348	2.9222536	64863.9894	256.197146	1	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6267	3.2962112	32749.2011	39.762818	11.718004	2000-2009 –> 2010-2019	6.2140493	2.9178380	64941.1368	85.104744	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6267	3.3065967	32788.6303	42.570252	11.500133	2000-2009 –> 2010-2019	6.2287229	2.9221262	64999.5457	90.631392	3	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6267	3.3107523	32804.3725	20.105297	14.245677	2000-2009 –> 2010-2019	6.2821021	2.9713498	65231.1813	51.193498	4	8
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6267	3.3562992	32975.6307	419.166002	11.793743	2000-2009 –> 2010-2019	6.3637777	3.0074786	65558.6350	853.857133	5	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6267	3.3584055	32983.4943	47.462780	10.171980	2000-2009 –> 2010-2019	6.3731439	3.0147384	65597.6588	96.854559	6	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6267	3.3619521	32996.7236	72.075310	11.533529	2000-2009 –> 2010-2019	6.3760937	3.0141417	65608.3296	135.008344	7	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6267	3.3702106	33027.4750	71.917896	11.660516	2000-2009 –> 2010-2019	6.3918212	3.0216106	65671.0666	134.769862	9	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate	6267	3.3709073	33028.0661	34.543699	10.587947	2000-2009 –> 2010-2019	6.4134150	3.0425077	65758.7308	73.455315	10	20
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6267	3.3804602	33063.5363	30.768968	12.800000	2000-2009 –> 2010-2019	6.4230458	3.0425856	65794.5318	70.252618	11	22
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2447	2.2285659	10880.1327	618.588788	8.816076	1982-1999 –> 2000-2009	4.1487278	1.9201618	18094.1383	1209.690160	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2447	2.2353201	10894.9427	129.137768	8.752139	1982-1999 –> 2000-2009	4.1690261	1.9337059	18133.3807	249.401781	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2447	2.2394392	10903.9526	130.632452	8.737656	1982-1999 –> 2000-2009	4.1833352	1.9438960	18160.6601	247.836043	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2447	2.2954915	11024.9396	426.501789	8.959030	1982-1999 –> 2000-2009	4.2547681	1.9592767	18309.0419	886.096485	10	15
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2447	2.3248202	11087.0725	126.918705	9.039622	1982-1999 –> 2000-2009	4.3196950	1.9948749	18433.7635	253.415555	11	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2447	2.2840792	11000.5479	606.105723	8.654745	1982-1999 –> 2000-2009	4.3491272	2.0650480	18467.4117	1294.586652	4	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2447	2.4007527	11244.3638	697.410140	9.882209	1982-1999 –> 2000-2009	4.3510327	1.9502800	18512.4681	1437.744936	39	43
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2447	2.2845069	10999.4643	453.009082	8.560611	1982-1999 –> 2000-2009	4.3551404	2.0706335	18473.7171	891.420054	5	24
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2447	2.3354229	11109.3416	156.731863	8.742045	1982-1999 –> 2000-2009	4.3558430	2.0204201	18500.2618	304.796568	16	28
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2447	2.3401707	11119.2808	121.631465	9.206018	1982-1999 –> 2000-2009	4.3641854	2.0240147	18516.3797	224.883529	17	30
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2436	2.4457429	11284.3364	737.815193	13.640515	2000-2009 –> 2010-2019	4.6743088	2.2285659	22164.4692	1356.403981	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2436	2.4628692	11318.3337	115.481172	13.541394	2000-2009 –> 2010-2019	4.6981893	2.2353201	22213.2764	244.618940	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2436	2.4722725	11336.8997	117.027895	13.526693	2000-2009 –> 2010-2019	4.7117117	2.2394392	22240.8523	247.660346	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2436	2.5193988	11428.8954	797.481614	15.061179	2000-2009 –> 2010-2019	4.8034779	2.2840792	22429.4433	1403.587336	7	11
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2436	2.5355939	11460.1133	83.638923	14.974978	2000-2009 –> 2010-2019	4.8261193	2.2905253	22474.4536	163.325790	8	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2436	2.5415927	11471.6260	85.171326	14.943399	2000-2009 –> 2010-2019	4.8338173	2.2922246	22489.5957	166.092278	9	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2436	2.4732955	11338.9153	927.267700	16.103465	2000-2009 –> 2010-2019	4.8740482	2.4007527	22583.2792	1624.677840	4	43
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2436	2.4948315	11381.1542	164.587243	16.024445	2000-2009 –> 2010-2019	4.9038612	2.4090297	22642.3619	327.380064	5	50
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2436	2.6296309	11635.5301	524.380765	13.347347	2000-2009 –> 2010-2019	4.9141378	2.2845069	22634.9943	977.389847	16	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2436	2.5082441	11407.2767	167.921126	16.012277	2000-2009 –> 2010-2019	4.9224466	2.4142025	22678.9818	333.122259	6	53
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2955	1.9004580	12194.7075	288.927319	9.640840	1982-1999 –> 2000-2009	3.5278186	1.6273607	19599.7801	562.644921	1	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2955	1.9044112	12206.9885	272.356727	9.677175	1982-1999 –> 2000-2009	3.5308997	1.6264885	19609.9820	536.213649	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2955	1.9088069	12220.6139	652.817987	9.644778	1982-1999 –> 2000-2009	3.5352680	1.6264612	19623.5423	1303.817077	3	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2955	1.9267910	12276.0352	265.871547	6.459409	1982-1999 –> 2000-2009	3.5598077	1.6330167	19694.5627	531.484054	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	2955	1.9865755	12454.6233	250.754697	7.252565	1982-1999 –> 2000-2009	3.7012414	1.7146659	20060.3553	498.743935	8	16
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2955	2.0179042	12549.0981	286.863868	7.403463	1982-1999 –> 2000-2009	3.7114201	1.6935159	20108.6984	558.711321	12	17
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2955	2.0297042	12583.5570	477.743239	7.746899	1982-1999 –> 2000-2009	3.7286003	1.6988962	20155.4581	945.056571	13	19
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2955	1.9807285	12439.2032	691.841643	9.122323	1982-1999 –> 2000-2009	3.7301478	1.7494193	20124.7497	1454.556066	5	18
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	2955	2.0304730	12583.7950	217.238183	7.712604	1982-1999 –> 2000-2009	3.7303299	1.6998569	20155.8886	451.379056	14	21
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2955	1.9820224	12443.0625	68.803989	9.115684	1982-1999 –> 2000-2009	3.7420430	1.7600206	20152.0386	141.350593	6	23
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2992	1.8229562	12098.0776	278.796147	12.389237	2000-2009 –> 2010-2019	3.7234142	1.9004580	24292.7852	567.723466	3	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2992	1.8225020	12096.5864	272.710869	12.434499	2000-2009 –> 2010-2019	3.7269132	1.9044112	24303.5749	545.067596	1	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2992	1.8229198	12097.9581	792.764943	12.456048	2000-2009 –> 2010-2019	3.7317266	1.9088069	24318.5720	1445.582930	2	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2992	1.8901520	12314.6852	263.905652	10.396620	2000-2009 –> 2010-2019	3.8169430	1.9267910	24590.7204	529.777199	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	2992	1.8902717	12313.0643	258.490629	10.432635	2000-2009 –> 2010-2019	3.8768472	1.9865755	24767.6876	509.245325	5	13
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2992	1.9797696	12591.8833	803.218088	13.402369	2000-2009 –> 2010-2019	3.9604981	1.9807285	25031.0865	1495.059731	6	11
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2992	1.9823343	12599.6303	65.584867	13.410487	2000-2009 –> 2010-2019	3.9643567	1.9820224	25042.6929	134.388856	7	13
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2992	1.9834938	12603.1295	66.438915	13.412496	2000-2009 –> 2010-2019	3.9659468	1.9824530	25047.4759	138.676021	8	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	2992	2.0152765	12696.2546	733.185470	12.617355	2000-2009 –> 2010-2019	4.0057348	1.9904583	25162.4179	1336.722106	15	26
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2992	2.0243381	12723.1009	24.209172	12.482923	2000-2009 –> 2010-2019	4.0139871	1.9896490	25186.8610	40.610673	16	25
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3273	1.6451857	12561.3192	807.585620	9.985982	1982-1999 –> 2000-2009	3.0641209	1.4189352	20754.4596	1153.125023	1	3
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3273	1.6492245	12577.3692	711.793601	10.100821	1982-1999 –> 2000-2009	3.0669588	1.4177343	20766.5946	1024.010643	2	3
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3273	1.6516078	12586.8223	619.873526	9.699528	1982-1999 –> 2000-2009	3.1305446	1.4789367	20971.4735	1238.068581	3	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3273	1.6522541	12589.3830	78.533420	9.576189	1982-1999 –> 2000-2009	3.1445852	1.4923312	21015.7244	156.392104	4	9
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3273	1.6526298	12590.8716	82.855019	9.546077	1982-1999 –> 2000-2009	3.1481425	1.4955127	21027.0605	166.647948	5	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	3273	1.6699367	12657.0670	567.451400	10.366191	1982-1999 –> 2000-2009	3.1593478	1.4894111	21072.3517	1062.049073	8	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3273	1.6676596	12648.1350	22.591805	10.210142	1982-1999 –> 2000-2009	3.1678331	1.5001735	21096.7123	44.091765	7	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3273	1.6674161	12647.1789	23.832336	10.159719	1982-1999 –> 2000-2009	3.1708503	1.5034342	21105.7957	46.794558	6	14
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3273	1.6947062	12755.4480	81.370507	9.114728	1982-1999 –> 2000-2009	3.2815675	1.5868613	21465.7889	148.892917	9	19
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3273	1.7235071	12865.7603	406.663697	6.695818	1982-1999 –> 2000-2009	3.2927058	1.5691987	21524.3451	710.657206	10	19
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4401	1.5788574	16523.3831	578.976330	5.759110	2000-2009 –> 2010-2019	3.3023646	1.7235071	29389.1435	985.640026	1	9
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4401	1.6927198	17136.3116	681.868718	5.856707	2000-2009 –> 2010-2019	3.3443276	1.6516078	29723.1339	1301.742244	6	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4401	1.6925408	17135.3807	110.704150	5.846132	2000-2009 –> 2010-2019	3.3447948	1.6522541	29724.7637	189.237570	5	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4401	1.6925320	17135.3352	107.237014	5.840842	2000-2009 –> 2010-2019	3.3451619	1.6526298	29726.2068	190.092033	4	7
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4401	1.6963293	17153.0607	34.919395	6.027931	2000-2009 –> 2010-2019	3.3637454	1.6674161	29800.2396	58.751731	7	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4401	1.6967593	17155.2918	33.207175	6.043941	2000-2009 –> 2010-2019	3.3644190	1.6676596	29803.4268	55.798980	8	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4401	1.6977337	17160.3447	677.520541	6.063014	2000-2009 –> 2010-2019	3.3676704	1.6699367	29817.4118	1244.971941	9	15
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	4401	1.6206934	16751.5785	548.350964	6.187876	2000-2009 –> 2010-2019	3.3835128	1.7628194	29762.9722	927.979397	2	13
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4401	1.7373915	17365.5883	119.053055	6.469705	2000-2009 –> 2010-2019	3.4320976	1.6947062	30121.0363	200.423562	10	17
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4401	1.7596871	17475.8240	34.268881	5.908789	2000-2009 –> 2010-2019	3.4879294	1.7282424	30357.5444	57.766328	14	23
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1902	1.3087069	6435.0687	565.886392	5.667236	1982-1999 –> 2000-2009	2.3562007	1.0474938	10698.5518	1195.226369	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1902	1.3178212	6461.4691	115.491617	5.609799	1982-1999 –> 2000-2009	2.3758358	1.0580146	10753.9339	246.641032	2	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1902	1.3191801	6465.3898	127.493435	5.602765	1982-1999 –> 2000-2009	2.3790940	1.0599139	10763.0559	275.712494	3	6
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1902	1.3268564	6487.4612	83.418132	5.438326	1982-1999 –> 2000-2009	2.4230071	1.0961506	10882.6163	182.945340	4	14
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1902	1.3663316	6598.9826	899.835687	6.622627	1982-1999 –> 2000-2009	2.4484171	1.0820855	10956.6859	1486.661439	6	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1902	1.3721009	6613.0111	468.937607	6.726274	1982-1999 –> 2000-2009	2.4573978	1.0852970	10977.3084	919.216618	9	14
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1902	1.3714601	6613.2343	745.380445	6.529183	1982-1999 –> 2000-2009	2.4594786	1.0880185	10986.7948	1321.929359	8	14
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1902	1.3674171	6602.0038	883.130864	6.278698	1982-1999 –> 2000-2009	2.4642909	1.0968738	10999.0714	1572.669977	7	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1902	1.3743186	6621.1546	865.394500	6.547227	1982-1999 –> 2000-2009	2.4647370	1.0904184	11001.1047	1537.042526	10	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1902	1.3803731	6635.8762	20.166253	6.615934	1982-1999 –> 2000-2009	2.4738696	1.0934965	11022.0009	47.049049	12	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2493	1.4113808	8806.8460	631.811478	5.689491	2000-2009 –> 2010-2019	2.7200877	1.3087069	15241.9147	1197.697870	2	3
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2493	1.4116073	8807.6464	194.193846	5.851171	2000-2009 –> 2010-2019	2.7294285	1.3178212	15269.1155	309.685464	3	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2493	1.4116240	8807.7053	202.993566	5.855544	2000-2009 –> 2010-2019	2.7308041	1.3191801	15273.0951	330.487002	4	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2493	1.4109263	8805.2404	144.385663	5.649925	2000-2009 –> 2010-2019	2.7377828	1.3268564	15292.7015	227.803795	1	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2493	1.4123843	8808.3901	24.117662	5.766789	2000-2009 –> 2010-2019	2.7758492	1.3634648	15397.3831	43.168789	5	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	2493	1.4909541	9078.3170	587.207200	6.246545	2000-2009 –> 2010-2019	2.8630550	1.3721009	15691.3281	1056.144808	10	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2493	1.4897809	9074.3922	24.371389	6.386190	2000-2009 –> 2010-2019	2.8701541	1.3803731	15710.2684	44.537642	9	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2493	1.4893894	9073.0814	25.671954	6.442839	2000-2009 –> 2010-2019	2.8724505	1.3830611	15716.3580	46.656288	8	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	2493	1.5737781	9347.8747	588.934793	6.074616	2000-2009 –> 2010-2019	2.9509130	1.3771349	15974.8164	1144.416718	13	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2493	1.5715168	9342.7053	938.524544	5.923925	2000-2009 –> 2010-2019	2.9558364	1.3843196	15991.4416	1825.195738	12	22
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4783	1.0473275	14029.9137	39.791727	5.014590	1982-1999 –> 2000-2009	2.0042098	0.9568824	23725.7040	93.515368	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4783	1.0569058	14117.0020	367.905580	5.093581	1982-1999 –> 2000-2009	2.0176143	0.9607085	23840.8941	748.474493	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4783	1.0617337	14160.5992	49.953259	5.106680	1982-1999 –> 2000-2009	2.0251199	0.9633862	23904.0912	114.144076	3	6
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4783	1.0622460	14165.2139	57.333802	5.103558	1982-1999 –> 2000-2009	2.0260159	0.9637699	23911.5102	133.108066	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4783	1.1005762	14502.3129	10.111094	5.578937	1982-1999 –> 2000-2009	2.1117978	1.0112216	24585.0602	22.499465	5	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4783	1.3065925	16145.7305	496.971068	6.737619	1982-1999 –> 2000-2009	2.4026076	1.0960151	26797.5129	992.307233	6	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4783	1.3288338	16307.1962	603.026611	6.999287	1982-1999 –> 2000-2009	2.4418424	1.1130086	27067.3255	962.309246	7	14
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4783	1.3350188	16351.6177	513.146289	7.083434	1982-1999 –> 2000-2009	2.4514351	1.1164162	27133.2744	813.995516	8	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4783	1.3504855	16459.8058	34.756693	6.962919	1982-1999 –> 2000-2009	2.4944409	1.1439555	27411.0635	68.718164	12	21
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4783	1.3488441	16450.1726	438.964480	6.188395	1982-1999 –> 2000-2009	2.5405878	1.1917437	27691.6278	803.632901	10	21
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5415	1.0374889	15779.6840	72.565404	7.255217	2000-2009 –> 2010-2019	2.0848164	1.0473275	29809.5977	112.357131	4	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5415	1.0314224	15716.1714	637.889852	7.176264	2000-2009 –> 2010-2019	2.0883282	1.0569058	29833.1733	1005.795432	1	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5415	1.0336275	15739.3005	82.053487	7.305339	2000-2009 –> 2010-2019	2.0953611	1.0617337	29899.8996	132.006745	2	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5415	1.0337976	15741.0826	90.797199	7.310744	2000-2009 –> 2010-2019	2.0960436	1.0622460	29906.2965	148.131001	3	7
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5415	1.0439425	15844.8422	18.330115	6.927384	2000-2009 –> 2010-2019	2.1445187	1.1005762	30347.1551	28.441209	5	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5415	1.3079581	18288.6040	764.860677	8.506076	2000-2009 –> 2010-2019	2.6145505	1.3065925	34434.3344	1261.831745	13	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5415	1.2797118	18052.1598	750.413600	8.383188	2000-2009 –> 2010-2019	2.6270944	1.3473827	34491.9623	1230.289872	8	17
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5415	1.2787785	18044.2586	599.772076	8.502431	2000-2009 –> 2010-2019	2.6276226	1.3488441	34494.4312	1038.736556	7	17
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5415	1.2786370	18043.0604	692.123125	8.527716	2000-2009 –> 2010-2019	2.6279655	1.3493285	34496.6678	1209.357353	6	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5415	1.2828891	18077.0160	31.971063	8.456855	2000-2009 –> 2010-2019	2.6351372	1.3522481	34549.2991	49.052826	9	24
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	10984	0.6165560	20561.3824	271.022220	2.833518	1982-1999 –> 2000-2009	1.4506932	0.8341372	40500.4384	386.539225	1	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	10984	0.7396725	24560.8409	270.136172	8.856215	1982-1999 –> 2000-2009	1.5296103	0.7899378	43623.3543	449.273331	8	9
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	10984	0.7487731	24829.4752	294.134716	8.983373	1982-1999 –> 2000-2009	1.5496376	0.8008645	44113.1635	423.753457	10	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	10984	0.7288284	24236.3900	145.381302	3.940356	1982-1999 –> 2000-2009	1.5694138	0.8405855	44299.4283	271.854053	3	8
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	10984	0.7604010	25168.0018	244.204078	9.267448	1982-1999 –> 2000-2009	1.5695606	0.8091596	44617.5907	345.170334	12	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	10984	0.7299566	24270.3695	15.030232	3.921903	1982-1999 –> 2000-2009	1.5745434	0.8445868	44409.8651	34.221764	5	11
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	10984	0.7299738	24270.8870	15.017841	3.920866	1982-1999 –> 2000-2009	1.5746917	0.8447179	44412.8821	31.539111	6	13
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	10984	0.6632391	22164.7491	207.613646	3.096512	1982-1999 –> 2000-2009	1.5776503	0.9144112	43583.1128	302.808353	2	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	10984	0.7294738	24255.8362	14.309839	3.991831	1982-1999 –> 2000-2009	1.5784267	0.8489529	44478.3463	31.591089	4	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	10984	0.7309250	24297.4939	10.175565	3.934618	1982-1999 –> 2000-2009	1.5813237	0.8503987	44545.3992	21.307105	7	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	14697	0.6772848	30268.5124	232.548994	5.235062	2000-2009 –> 2010-2019	1.2938408	0.6165560	50829.8948	503.571214	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	14697	0.6959523	31067.7146	150.521775	4.744363	2000-2009 –> 2010-2019	1.3591915	0.6632391	53232.4637	358.135422	3	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	14697	0.6872977	30699.8913	157.754802	4.002963	2000-2009 –> 2010-2019	1.4325469	0.7452492	55425.7359	393.793100	2	11
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	14697	0.7004532	31255.2000	144.567449	4.362714	2000-2009 –> 2010-2019	1.4512218	0.7507686	56141.1430	352.108432	4	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	14697	0.7252212	32278.6152	193.823489	5.143794	2000-2009 –> 2010-2019	1.4540495	0.7288284	56515.0051	339.204791	7	10
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	14697	0.7248752	32264.5898	16.832453	5.158649	2000-2009 –> 2010-2019	1.4548490	0.7299738	56535.4769	31.850294	5	11
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	14697	0.7248955	32265.4130	16.833639	5.157739	2000-2009 –> 2010-2019	1.4548521	0.7299566	56535.7825	31.863871	6	11
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	14697	0.7387663	32822.5497	18.463981	5.129482	2000-2009 –> 2010-2019	1.4682401	0.7294738	57078.3858	32.773820	8	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	14697	0.7445619	33050.2457	12.353124	5.086479	2000-2009 –> 2010-2019	1.4754869	0.7309250	57347.7396	22.528689	9	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	14697	0.7898682	34788.5512	232.607085	8.376274	2000-2009 –> 2010-2019	1.5295407	0.7396725	59349.3921	502.743256	10	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5168	1.2818335	17246.4895	320.114959	4.452828	1982-1999 –> 2000-2009	2.2815657	0.9997322	31302.4922	740.697345	8	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5168	1.2714394	17162.3356	72.809847	4.285113	1982-1999 –> 2000-2009	2.2950361	1.0235967	31451.8361	147.756912	2	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5168	1.2788643	17222.5198	79.788582	4.262597	1982-1999 –> 2000-2009	2.3061166	1.0272523	31547.3064	168.657368	5	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5168	1.2783703	17218.5262	48.671972	4.226537	1982-1999 –> 2000-2009	2.3073603	1.0289900	31560.0421	112.276494	4	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5168	1.2812074	17241.4398	51.257182	4.226922	1982-1999 –> 2000-2009	2.3183826	1.0371752	31661.3786	113.655220	6	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5168	1.2834543	17259.5501	49.118571	4.261183	1982-1999 –> 2000-2009	2.3209698	1.0375156	31682.7369	112.428282	13	19
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5168	1.2842757	17266.1628	414.270744	4.458806	1982-1999 –> 2000-2009	2.3246808	1.0404051	31716.8780	991.019946	15	23
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	5168	1.2904432	17313.6813	23.904210	3.945948	1982-1999 –> 2000-2009	2.3287110	1.0382678	31742.0415	42.598490	26	33
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5168	1.2714314	17162.2707	192.836449	4.270514	1982-1999 –> 2000-2009	2.3376294	1.0661979	31855.3760	337.116861	1	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5168	1.2814235	17243.1826	386.994209	4.403685	1982-1999 –> 2000-2009	2.3417994	1.0603759	31882.0912	919.136461	7	16
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6286	1.4238108	22295.0471	502.256445	7.304933	2000-2009 –> 2010-2019	2.7058718	1.2820611	39543.3712	855.342428	2	12
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6286	1.4319674	22366.8631	76.210457	7.146367	2000-2009 –> 2010-2019	2.7108317	1.2788643	39589.3830	155.999039	9	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6286	1.4303417	22352.5824	41.746465	7.168979	2000-2009 –> 2010-2019	2.7115491	1.2812074	39594.0221	93.003647	5	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6286	1.4315306	22363.0273	489.632759	7.159557	2000-2009 –> 2010-2019	2.7129540	1.2814235	39606.2099	876.626968	6	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	6286	1.4315726	22361.3965	27.719194	7.175290	2000-2009 –> 2010-2019	2.7136411	1.2820685	39607.7808	76.545722	7	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6286	1.4227076	22285.3023	479.526368	7.236019	2000-2009 –> 2010-2019	2.7147466	1.2920390	39613.7576	807.981117	1	28
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6286	1.4448609	22479.5553	78.970132	6.819299	2000-2009 –> 2010-2019	2.7163003	1.2714394	39641.8910	151.779979	30	32
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6286	1.4404055	22440.7285	41.363299	6.852639	2000-2009 –> 2010-2019	2.7187758	1.2783703	39659.2547	90.035271	23	27
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6286	1.4415785	22450.9623	420.842127	6.816022	2000-2009 –> 2010-2019	2.7234120	1.2818335	39697.4518	740.957086	24	32
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6286	1.4416032	22449.1775	30.906574	6.824247	2000-2009 –> 2010-2019	2.7235866	1.2819834	39694.8755	77.040121	25	34

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	3.427759	722.5725
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	2.913609	645.5215
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	7.245292	3431.5362
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	7.324761	3259.0134
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	5.519141	4440.7358
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.110151	4597.0290
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	4.013274	7095.1807
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	5.097918	7005.0756
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	3.813966	9315.0704
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	4.625279	10201.7956
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.770764	18165.3862
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.101526	20287.2505
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	4.072389	29924.8680
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	4.554694	32580.1463
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	2.221127	7871.7077
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	2.574129	9309.9451
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	3.554767	9923.7587
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	4.064556	11285.3204
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	6.947321	16616.5255
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	6.667676	16337.9584
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	1.059436	2566.4080
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	1.370395	3740.0603
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	1.105652	3987.8535
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	1.281354	5312.6478
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.248224	7944.3063
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.452462	11022.0229
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.340399	11792.9453
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.543156	16623.5634
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	11.211892	23976.6245
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	11.516885	38903.3646
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	8.028374	25837.0633
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	8.134288	30267.7012
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	7.364997	22359.8607
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	7.785614	26780.0191
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	6.835210	30317.2406
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	7.262375	35572.9923
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	5.774061	35087.2946
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	5.985449	43153.4584
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	5.564764	46651.9661
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.317570	57114.8519
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	5.367408	52569.1549
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	6.325931	65402.4806
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	4.285088	18360.1223
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	4.816212	22455.1708
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.649758	19928.5056
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	3.878637	24774.3874
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.162666	21080.0306
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.373602	29822.5879
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.430233	10904.1124
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.820636	15555.8423
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.251567	25606.8064
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.364144	32226.2817
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.555555	43858.3581
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.437382	55899.1019
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	2.316225	31640.2179
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.715167	39624.7997

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
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

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
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	nitrate	phosphate	phosphate_star	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	6	4	6	5	10	9	8
(26,26.5]	7	6	6	7	10	6	8
(26.5,26.75]	7	5	7	6	6	9	8
(26.75,27]	8	4	7	7	3	10	8
(27,27.25]	7	5	7	6	7	10	7
(27.25,27.5]	7	10	5	6	4	5	10
(27.5,27.75]	6	2	6	8	10	5	8
(27.75,27.85]	6	3	5	5	10	8	8
(27.85,27.95]	5	2	5	7	10	6	9
(27.95,28.05]	4	4	4	8	8	5	10
(28.05,28.1]	4	2	4	8	10	5	10
(28.1,28.15]	5	2	7	6	7	6	10
(28.15,28.2]	9	9	4	5	4	5	8
(28.2, Inf]	9	10	3	4	10	3	5
total	90.00	68.00	76.00	88.00	109.00	92.00	117.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	6	5	6	6	10	9	7
(26,26.5]	8	6	6	6	10	5	8
(26.5,26.75]	7	7	7	6	7	7	9
(26.75,27]	8	5	8	6	5	10	6
(27,27.25]	8	5	6	6	8	10	6
(27.25,27.5]	7	10	4	6	7	8	7
(27.5,27.75]	7	6	7	6	10	6	7
(27.75,27.85]	5	4	4	6	10	10	6
(27.85,27.95]	7	4	4	5	10	9	7
(27.95,28.05]	4	2	4	8	10	5	10
(28.05,28.1]	5	3	4	7	10	6	10
(28.1,28.15]	5	3	4	7	10	6	10
(28.15,28.2]	8	9	3	4	5	5	9
(28.2, Inf]	10	10	2	4	9	4	5
total	95.00	79.00	69.00	83.00	121.00	100.00	107.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	4	8	7	10	4	7
(26,26.5]	8	7	7	7	7	6	8
(26.5,26.75]	7	7	7	7	6	7	9
(26.75,27]	7	10	6	7	5	4	8
(27,27.25]	8	10	7	7	3	4	8
(27.25,27.5]	6	10	6	6	5	6	9
(27.5,27.75]	5	5	5	8	10	10	4
(27.75,27.85]	8	8	7	4	9	6	7
(27.85,27.95]	9	8	4	4	10	6	7
(27.95,28.05]	6	4	5	7	10	5	10
(28.05,28.1]	7	5	6	6	9	5	10
(28.1,28.2]	5	6	4	8	6	9	10
(28.2,28.3]	5	6	6	7	7	10	8
(28.3, Inf]	8	5	5	6	10	8	7
total	97.00	95.00	83.00	91.00	107.00	90.00	112.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	5	7	7	10	5	7
(26,26.5]	7	6	7	7	7	7	9
(26.5,26.75]	8	5	8	6	4	9	8
(26.75,27]	6	10	6	8	5	5	8
(27,27.25]	7	10	7	7	4	5	8
(27.25,27.5]	6	10	6	6	5	6	9
(27.5,27.75]	5	5	6	6	10	10	6
(27.75,27.85]	7	6	7	6	7	6	10
(27.85,27.95]	8	5	5	5	10	4	10
(27.95,28.05]	6	4	4	6	10	5	10
(28.05,28.1]	6	2	5	7	8	7	10
(28.1,28.2]	5	5	6	7	9	6	10
(28.2,28.3]	4	6	7	5	9	10	7
(28.3, Inf]	7	6	4	7	10	10	4
total	90.00	85.00	85.00	90.00	108.00	95.00	116.00

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
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
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  metR_0.9.0       scico_1.2.0     
[13] patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0    stringr_1.4.0   
[17] dplyr_1.0.5      purrr_0.3.4      readr_1.4.0      tidyr_1.1.2     
[21] tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0  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               plyr_1.8.6              
[52] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[55] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[58] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[61] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[64] RcppArmadillo_0.10.1.2.2 data.table_1.13.6        modelr_0.1.8            
[67] vctrs_0.3.6              httpuv_1.5.4             cellranger_1.1.0        
[70] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[73] xfun_0.20                openxlsx_4.2.3           RcppEigen_0.3.3.9.1     
[76] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[79] here_1.0.1