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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---

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 + temp + aou + silicate + phosphate	114	3.8820390	646.76818	25.256572	9.7489385	1982-1999 –> 2000-2009	5.588248	1.7062087	926.4051	47.472702	2	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	114	4.0520217	656.53922	66.531049	12.2839748	1982-1999 –> 2000-2009	5.737887	1.6858651	934.5448	83.066860	9	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	114	4.0098791	654.15552	22.107104	11.6771107	1982-1999 –> 2000-2009	5.859450	1.8495710	944.7649	92.289821	8	24
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	114	4.2118954	665.36209	65.041291	9.7814624	1982-1999 –> 2000-2009	5.891316	1.6794207	942.8468	76.045365	13	14
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	114	4.0699122	657.54367	12.883487	13.3831558	1982-1999 –> 2000-2009	5.927989	1.8580764	948.7770	99.275580	10	27
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	114	4.3063973	670.42116	110.125406	8.5586959	1982-1999 –> 2000-2009	5.994314	1.6879164	948.5921	122.011182	16	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	114	4.3291998	671.62525	65.137202	8.6574217	1982-1999 –> 2000-2009	6.009902	1.6807025	949.2137	78.027406	17	19
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	114	4.3053110	670.36364	53.731330	11.5576123	1982-1999 –> 2000-2009	6.119220	1.8139088	958.3251	243.261518	15	27
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	114	4.4686809	678.85525	14.045228	13.3716197	1982-1999 –> 2000-2009	6.183325	1.7146436	959.1628	39.949146	29	36
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	114	4.3390340	670.14258	50.055725	8.8086427	1982-1999 –> 2000-2009	6.296380	1.9573457	966.4544	58.210336	18	39
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	51	0.3752271	58.74890	37.985442	1.0814134	2000-2009 –> 2010-2019	4.270256	3.8950285	706.2787	93.871279	5	9
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	51	0.4585669	79.20752	37.579134	1.1603831	2000-2009 –> 2010-2019	4.340606	3.8820390	725.9757	62.835706	13	15
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	51	0.4665504	80.96802	112.344902	1.1999270	2000-2009 –> 2010-2019	4.476430	4.0098791	735.1235	134.452006	16	24
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	51	0.6149898	109.14446	71.959254	1.6142810	2000-2009 –> 2010-2019	4.667011	4.0520217	765.6837	138.490302	19	28
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	51	0.3632646	55.44411	71.191185	0.9827982	2000-2009 –> 2010-2019	4.668576	4.3053110	725.8078	124.922515	3	18
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	51	0.4577744	79.03110	12.969790	1.1530624	2000-2009 –> 2010-2019	4.669670	4.2118954	744.3932	78.011080	12	25
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	51	0.6186572	109.75092	226.132594	1.6301901	2000-2009 –> 2010-2019	4.688569	4.0699122	767.2946	239.016081	25	35
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	51	0.3613130	54.89465	18.281666	0.9859564	2000-2009 –> 2010-2019	4.690513	4.3291998	726.5199	83.418867	1	18
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	51	0.4609553	79.73739	15.221059	1.1668857	2000-2009 –> 2010-2019	4.767353	4.3063973	750.1586	125.346465	14	30
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	51	0.3793781	59.87110	73.279796	1.0731919	2000-2009 –> 2010-2019	4.788188	4.4088095	735.6510	142.292938	6	28
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	231	3.9992819	1309.93465	178.556585	8.4659458	1982-1999 –> 2000-2009	7.280902	3.2816205	3435.8281	474.460577	1	3
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	231	4.3846078	1352.43189	189.826852	10.2714478	1982-1999 –> 2000-2009	7.615083	3.2304753	3465.6018	480.519122	4	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	231	4.2805448	1341.33470	13.797127	9.0871153	1982-1999 –> 2000-2009	7.659857	3.3793122	3490.9894	30.772576	2	9
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	231	4.3499664	1348.76727	15.077567	9.2810206	1982-1999 –> 2000-2009	7.738103	3.3881366	3500.5344	25.918502	3	11
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	231	4.4226773	1356.42590	15.416516	9.4485301	1982-1999 –> 2000-2009	7.831880	3.4092025	3513.2136	29.328245	5	14
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	231	4.7311413	1387.57451	14.153551	11.4078489	1982-1999 –> 2000-2009	8.055589	3.3244481	3523.9707	28.494600	14	17
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	231	4.8476405	1398.81295	16.002534	11.6427993	1982-1999 –> 2000-2009	8.188773	3.3411323	3539.2641	26.889786	17	21
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	231	4.8848408	1402.34476	15.444621	11.6487238	1982-1999 –> 2000-2009	8.233771	3.3489297	3544.6840	26.430220	19	24
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	231	4.4635764	1360.67865	38.028605	10.9053730	1982-1999 –> 2000-2009	8.367920	3.9043433	3627.3114	172.744753	6	27
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	231	4.5036301	1364.80590	13.797208	9.9423399	1982-1999 –> 2000-2009	8.390471	3.8868407	3627.7994	152.001763	7	25
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	375	3.7063441	2060.73837	260.845438	12.7144350	2000-2009 –> 2010-2019	7.705626	3.9992819	3370.6730	439.402023	7	8
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	375	3.5560427	2029.69015	260.968140	12.5323613	2000-2009 –> 2010-2019	7.940651	4.3846078	3382.1220	450.794992	3	7
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	375	3.7241904	2064.34101	10.897851	12.7014202	2000-2009 –> 2010-2019	8.004735	4.2805448	3405.6757	24.694978	8	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	375	3.7253837	2064.58129	9.527239	12.7150766	2000-2009 –> 2010-2019	8.075350	4.3499664	3413.3486	24.604806	9	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	375	3.7301739	2065.54505	9.002556	12.7149865	2000-2009 –> 2010-2019	8.152851	4.4226773	3421.9709	24.419072	10	15
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	375	3.5756157	2033.80694	10.996677	12.5295534	2000-2009 –> 2010-2019	8.306757	4.7311413	3421.3815	25.150228	4	18
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	375	3.9401030	2106.60905	171.368943	17.8593116	2000-2009 –> 2010-2019	8.403679	4.4635764	3467.2877	209.397548	23	29
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	375	3.5787492	2034.46392	9.555994	12.5235071	2000-2009 –> 2010-2019	8.426390	4.8476405	3433.2769	25.558528	5	22
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	375	3.9278334	2104.26988	171.038074	17.5482849	2000-2009 –> 2010-2019	8.431463	4.5036301	3469.0758	184.835282	21	28
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	375	3.9071822	2100.31623	171.331553	17.4537837	2000-2009 –> 2010-2019	8.446967	4.5397849	3468.8162	181.284443	18	26
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	367	2.9039452	1837.99642	65.321016	7.7583510	1982-1999 –> 2000-2009	5.674752	2.7708069	4509.5005	147.360005	6	11
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	367	2.9509040	1849.77078	52.938989	7.8698898	1982-1999 –> 2000-2009	5.691080	2.7401763	4509.1581	132.330849	9	12
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	367	2.7963810	1810.29222	45.380780	8.1006025	1982-1999 –> 2000-2009	5.694170	2.8977892	4530.6387	117.847919	2	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	367	2.7938717	1809.63328	45.557647	8.4193569	1982-1999 –> 2000-2009	5.704615	2.9107434	4534.8416	118.376778	1	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	367	2.8440672	1822.70348	44.617678	6.8640655	1982-1999 –> 2000-2009	5.704704	2.8606372	4528.9849	116.861045	3	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	367	2.9112489	1839.84020	47.597918	9.6355451	1982-1999 –> 2000-2009	5.741178	2.8299295	4534.3577	129.981579	7	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	367	2.8600252	1826.81042	60.531787	7.7913581	1982-1999 –> 2000-2009	5.750490	2.8904654	4544.3985	146.801886	4	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	367	3.0463330	1873.13178	59.353625	9.0425853	1982-1999 –> 2000-2009	5.755059	2.7087265	4519.9365	140.130447	16	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	367	2.8706699	1827.53721	8.234487	7.8534630	1982-1999 –> 2000-2009	5.829726	2.9590566	4568.6890	24.061723	5	23
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	367	3.0408459	1871.80852	45.113124	8.9981584	1982-1999 –> 2000-2009	5.844959	2.8041131	4556.3367	128.325613	13	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	483	4.1997147	2770.92065	43.825793	11.9019223	2000-2009 –> 2010-2019	7.110964	2.9112489	4610.7608	91.423711	3	10
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	483	4.1704973	2764.17672	44.032778	11.6781254	2000-2009 –> 2010-2019	7.211343	3.0408459	4635.9852	89.145902	2	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	483	4.3151858	2797.12223	96.803550	11.1178656	2000-2009 –> 2010-2019	7.219131	2.9039452	4635.1187	162.124566	9	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	483	4.2980218	2793.27222	95.455648	10.9694087	2000-2009 –> 2010-2019	7.248926	2.9509040	4643.0430	148.394637	7	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	483	4.4559064	2828.12129	40.039242	11.5966686	2000-2009 –> 2010-2019	7.252287	2.7963810	4638.4135	85.420022	15	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	483	4.4602197	2829.05591	40.098497	11.6030077	2000-2009 –> 2010-2019	7.254091	2.7938717	4638.6892	85.656144	16	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	483	4.4282914	2822.11596	39.761569	11.4835649	2000-2009 –> 2010-2019	7.272359	2.8440672	4644.8194	84.379247	14	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	483	4.1577058	2761.20930	43.618281	11.6101211	2000-2009 –> 2010-2019	7.303974	3.1462685	4658.0336	88.848816	1	22
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	483	4.2820739	2789.68121	96.078617	10.9211471	2000-2009 –> 2010-2019	7.328407	3.0463330	4662.8130	155.432242	6	22
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	483	4.3375838	2800.12330	27.290315	11.8957916	2000-2009 –> 2010-2019	7.380737	3.0431527	4670.4884	46.924052	11	25
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	626	2.3182429	2843.20460	177.991180	9.6302922	1982-1999 –> 2000-2009	3.931977	1.6137343	6986.1417	355.605259	5	6
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	626	2.2634953	2813.28265	120.221519	7.5707180	1982-1999 –> 2000-2009	3.994258	1.7307627	7108.5642	194.032332	1	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	626	2.2651305	2814.18675	54.450886	10.3169596	1982-1999 –> 2000-2009	4.020896	1.7557659	7140.6787	102.421604	2	6
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	626	2.3525189	2859.58031	61.767172	12.1469451	1982-1999 –> 2000-2009	4.047139	1.6946197	7106.9400	202.123923	7	9
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	626	2.2796822	2822.20415	113.176214	6.8328230	1982-1999 –> 2000-2009	4.070749	1.7910665	7192.0117	186.892854	3	8
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	626	2.3121420	2839.90535	128.813323	6.4173841	1982-1999 –> 2000-2009	4.141590	1.8294476	7255.8502	202.688337	4	12
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	626	2.3377676	2853.70500	54.360676	10.3272182	1982-1999 –> 2000-2009	4.159199	1.8214314	7260.0942	102.333124	6	13
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	626	2.3771209	2872.60538	19.749208	12.0018565	1982-1999 –> 2000-2009	4.188481	1.8113603	7264.9296	50.369700	9	15
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	626	2.3709600	2871.35628	54.405798	10.2697158	1982-1999 –> 2000-2009	4.220119	1.8491588	7310.6208	102.378464	8	17
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	626	2.4390799	2904.82037	4.039170	11.9534898	1982-1999 –> 2000-2009	4.313552	1.8744718	7371.6700	9.849914	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	914	2.5260360	4301.73819	88.611670	8.2177389	2000-2009 –> 2010-2019	4.789531	2.2634953	7115.0208	208.833189	2	3
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	914	2.5376814	4310.14618	87.700708	8.2716622	2000-2009 –> 2010-2019	4.817364	2.2796822	7132.3503	200.876921	3	6
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	914	2.5081407	4288.74187	241.651681	12.5606108	2000-2009 –> 2010-2019	4.826384	2.3182429	7131.9465	419.642861	1	6
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	914	2.5658180	4330.30262	92.541051	8.4256292	2000-2009 –> 2010-2019	4.877960	2.3121420	7170.2080	221.354374	4	8
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	914	2.9227196	4568.37626	32.647189	13.6532531	2000-2009 –> 2010-2019	5.187850	2.2651305	7382.5630	87.098075	7	9
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	914	2.7127360	4432.08634	99.186054	10.4240714	2000-2009 –> 2010-2019	5.236944	2.5242076	7381.8582	236.894343	5	17
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	914	2.9520369	4586.62122	32.729141	13.7580249	2000-2009 –> 2010-2019	5.289804	2.3377676	7440.3262	87.089817	8	14
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	914	2.9629634	4593.37478	32.738497	13.7727802	2000-2009 –> 2010-2019	5.333923	2.3709600	7464.7311	87.144295	10	18
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	914	3.0850630	4665.19337	176.717148	14.1544710	2000-2009 –> 2010-2019	5.437582	2.3525189	7524.7737	238.484320	12	19
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	914	2.9551211	4586.53007	22.922166	13.4614179	2000-2009 –> 2010-2019	5.485565	2.5304438	7537.3913	43.106013	9	22
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	879	2.2458609	3930.87223	113.450672	6.7503785	1982-1999 –> 2000-2009	3.714643	1.4687825	8694.9550	257.110104	2	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	879	2.3651526	4021.85512	47.405867	11.5378740	1982-1999 –> 2000-2009	3.741218	1.3760657	8614.1871	128.108715	8	9
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	879	2.2446418	3929.91775	104.936092	6.6931024	1982-1999 –> 2000-2009	3.743626	1.4989843	8747.6127	246.766678	1	7
Atlantic	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	879	2.2976719	3970.96783	370.428353	7.4954133	1982-1999 –> 2000-2009	3.770670	1.4729980	8742.5996	710.160941	6	11
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	879	2.2462383	3931.16768	118.100018	6.3569910	1982-1999 –> 2000-2009	3.797328	1.5510900	8838.8668	263.163402	3	12
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	879	2.4090192	4054.16216	41.271936	11.6078440	1982-1999 –> 2000-2009	3.846171	1.4371515	8760.9008	61.160005	9	11
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	879	2.3108191	3980.99831	147.353330	8.2977256	1982-1999 –> 2000-2009	3.847363	1.5365439	8863.8795	308.118131	7	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	879	2.4233826	4064.61286	41.199942	11.6278050	1982-1999 –> 2000-2009	3.882032	1.4586491	8810.4601	61.082777	10	13
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	879	2.4521359	4083.34860	47.181724	10.7362854	1982-1999 –> 2000-2009	3.994725	1.5425888	8974.5717	121.550096	11	19
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	879	2.6366524	4212.89265	40.609780	14.8726523	1982-1999 –> 2000-2009	4.339143	1.7024906	9365.9077	60.360107	14	24
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1262	2.0495291	5406.64861	247.400805	9.5963207	2000-2009 –> 2010-2019	4.360348	2.3108191	9387.6469	394.754135	1	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1262	2.1604563	5539.68715	113.557778	8.8805170	2000-2009 –> 2010-2019	4.408432	2.2479756	9472.2140	172.775562	2	6
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1262	2.2232570	5612.00931	215.327418	9.9002010	2000-2009 –> 2010-2019	4.469495	2.2462383	9543.1770	333.427436	4	7
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1262	2.3125387	5711.38594	185.311000	8.3993444	2000-2009 –> 2010-2019	4.557181	2.2446418	9641.3037	290.247092	8	9
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1262	2.3133963	5712.32185	200.660742	8.3654271	2000-2009 –> 2010-2019	4.559257	2.2458609	9643.1941	314.111414	9	11
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1262	2.3134946	5710.42904	112.931617	8.3670045	2000-2009 –> 2010-2019	4.599112	2.2856178	9670.1497	169.361831	10	15
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1262	2.2968930	5694.25160	643.824297	12.0356938	2000-2009 –> 2010-2019	4.627580	2.3306865	9690.2999	1487.997691	6	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1262	2.1682032	5548.72150	254.801992	10.0952040	2000-2009 –> 2010-2019	4.637260	2.4690566	9646.1594	403.549749	3	16
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1262	2.2934671	5690.48416	77.046146	11.7731793	2000-2009 –> 2010-2019	4.658620	2.3651526	9712.3393	124.452012	5	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1262	2.2968940	5692.25267	68.471358	12.0323286	2000-2009 –> 2010-2019	4.749030	2.4521359	9775.6013	115.653082	7	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1843	3.1103489	9426.84035	203.972642	14.7978714	1982-1999 –> 2000-2009	4.961043	1.8506940	17452.6983	659.370385	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1843	3.2335355	9570.00906	45.017696	11.4159863	1982-1999 –> 2000-2009	5.318310	2.0847742	18064.8822	106.732283	3	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1843	3.1184487	9436.42675	218.472623	14.3292081	1982-1999 –> 2000-2009	5.366290	2.2478410	18227.8693	732.977822	2	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1843	3.4430557	9801.42805	148.050749	11.2629480	1982-1999 –> 2000-2009	5.405221	1.9621656	18057.6120	425.528292	10	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1843	3.4480934	9806.81731	189.004921	12.2806525	1982-1999 –> 2000-2009	5.460034	2.0119408	18161.6523	629.587208	11	14
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1843	3.2483418	9586.84865	161.541630	11.5442672	1982-1999 –> 2000-2009	5.497652	2.2493100	18380.8639	479.047025	4	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	1843	3.4568525	9814.16883	36.631143	11.7029398	1982-1999 –> 2000-2009	5.541753	2.0849007	18307.2809	98.287315	13	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1843	3.3876140	9739.59122	186.357221	16.8706973	1982-1999 –> 2000-2009	5.681579	2.2939650	18609.0208	621.831907	8	16
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1843	3.4050613	9760.52661	202.303309	11.3267202	1982-1999 –> 2000-2009	5.699215	2.2941534	18632.2796	652.374945	9	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1843	3.2777539	9620.07328	239.268379	9.7906873	1982-1999 –> 2000-2009	5.910026	2.6322719	19033.2359	799.042673	5	26
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2050	3.4314838	10886.91829	577.137629	10.8879828	2000-2009 –> 2010-2019	6.709238	3.2777539	20506.9916	816.406008	4	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2050	3.4460475	10904.28245	382.591906	11.5025642	2000-2009 –> 2010-2019	6.748593	3.3025451	20552.1298	511.767249	5	11
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2050	3.6462620	11135.82836	556.769078	12.7902642	2000-2009 –> 2010-2019	6.764711	3.1184487	20572.2551	775.241701	17	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2050	3.5420902	11016.98776	54.471964	10.0895159	2000-2009 –> 2010-2019	6.775626	3.2335355	20586.9968	99.489660	10	13
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2050	3.6897122	11184.39663	386.869369	9.5926480	2000-2009 –> 2010-2019	6.800061	3.1103489	20611.2370	590.842011	22	23
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2050	3.5678206	11044.66316	54.124640	10.3542204	2000-2009 –> 2010-2019	6.885952	3.3181312	20707.8653	90.763706	14	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2050	3.6490765	11138.99185	394.928038	12.6070561	2000-2009 –> 2010-2019	6.897418	3.2483418	20725.8405	556.469668	18	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2050	3.4021990	10851.77817	47.672637	13.0391114	2000-2009 –> 2010-2019	6.923598	3.5213994	20736.1379	95.112956	1	16
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2050	3.4191078	10872.10457	47.957962	13.4345396	2000-2009 –> 2010-2019	7.066060	3.6469525	20885.5975	96.060424	2	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2050	3.4199567	10873.12229	47.527849	13.3905183	2000-2009 –> 2010-2019	7.069006	3.6490492	20888.7338	94.550352	3	23
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3407	2.4362594	15750.26760	20.056326	17.1550698	1982-1999 –> 2000-2009	4.137161	1.7009015	30222.2864	36.417262	1	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3407	2.4382800	15755.91680	19.186018	16.8890372	1982-1999 –> 2000-2009	4.138998	1.7007180	30227.1358	35.221759	2	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3407	2.4404741	15762.04574	19.187294	16.4461034	1982-1999 –> 2000-2009	4.141994	1.7015198	30236.7591	34.713411	3	6
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3407	2.4790345	15868.86775	28.469465	14.9724223	1982-1999 –> 2000-2009	4.193693	1.7146584	30400.6097	62.976457	7	12
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3407	2.4923710	15905.42674	401.638538	14.7569120	1982-1999 –> 2000-2009	4.261416	1.7690451	30668.6783	1045.892400	9	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3407	2.4478253	15780.54005	17.686248	16.4800597	1982-1999 –> 2000-2009	4.279201	1.8313758	30798.5207	31.728371	4	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3407	2.4499884	15786.55876	17.857097	16.1682913	1982-1999 –> 2000-2009	4.280136	1.8301472	30799.5640	32.364204	5	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3407	2.4601321	15814.71263	18.543197	15.4597887	1982-1999 –> 2000-2009	4.298776	1.8386443	30862.0604	32.877538	6	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	3407	2.4919981	15902.40722	17.649340	14.1513487	1982-1999 –> 2000-2009	4.321714	1.8297160	30913.6653	31.532062	8	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3407	2.6777149	16392.19031	17.889575	21.1867737	1982-1999 –> 2000-2009	4.383175	1.7054602	30882.0532	33.147597	13	17
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4150	2.0538870	17764.98287	687.956896	12.0110260	2000-2009 –> 2010-2019	4.548396	2.4945092	33676.2530	1423.538162	1	14
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4150	2.1368490	18093.64806	628.785090	11.0724340	2000-2009 –> 2010-2019	4.620468	2.4836188	33975.1048	1214.520460	2	12
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4150	2.2019243	18342.64258	21.918627	11.7976187	2000-2009 –> 2010-2019	4.638184	2.4362594	34092.9102	41.974953	4	5
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4150	2.2034175	18348.26913	22.146673	11.7349182	2000-2009 –> 2010-2019	4.641698	2.4382800	34104.1859	41.332692	5	7
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4150	2.2202219	18411.32896	710.728381	11.5002892	2000-2009 –> 2010-2019	4.669008	2.4487857	34196.5418	1402.284743	7	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4150	2.1659678	18203.98835	587.827456	11.2447713	2000-2009 –> 2010-2019	4.669441	2.5034733	34137.7008	1135.560340	3	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4150	2.2314046	18453.02913	22.011196	11.8944610	2000-2009 –> 2010-2019	4.671879	2.4404741	34215.0749	41.198490	8	11
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4150	2.2547755	18539.50841	32.418008	10.8101395	2000-2009 –> 2010-2019	4.733810	2.4790345	34408.3762	60.887473	10	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4150	2.2464452	18508.78712	686.106821	10.7756964	2000-2009 –> 2010-2019	4.738816	2.4923710	34414.2139	1087.745359	9	21
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	4150	2.2555542	18540.37412	32.293167	10.8921890	2000-2009 –> 2010-2019	4.756245	2.5006907	34466.5086	59.948090	11	25
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1309	1.1910012	4186.39258	32.395459	12.7376763	1982-1999 –> 2000-2009	2.024386	0.8333849	7363.8171	66.388042	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1309	1.2275741	4265.57557	28.616478	12.7876184	1982-1999 –> 2000-2009	2.110809	0.8832352	7591.6094	57.718412	3	5
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1309	1.2295619	4269.81162	25.522816	12.8912715	1982-1999 –> 2000-2009	2.113980	0.8844183	7599.2696	53.898058	4	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1309	1.2317241	4274.41120	28.347215	12.8229822	1982-1999 –> 2000-2009	2.116220	0.8844955	7604.0926	54.644459	5	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1309	1.1963930	4196.21782	30.921056	12.6758394	1982-1999 –> 2000-2009	2.150898	0.9545051	7718.7562	62.624631	2	9
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1309	1.2377939	4287.28085	26.964420	13.7078200	1982-1999 –> 2000-2009	2.172887	0.9350934	7759.2610	57.247701	6	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1309	1.2407727	4291.57363	26.200659	13.7680967	1982-1999 –> 2000-2009	2.222360	0.9815877	7885.6806	54.869270	7	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1309	1.3147741	4443.23575	22.405685	14.0663320	1982-1999 –> 2000-2009	2.222423	0.9076492	7837.0171	47.443406	8	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	1309	1.3692648	4549.55021	21.135893	11.0552314	1982-1999 –> 2000-2009	2.410977	1.0417122	8295.7294	45.190098	9	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1309	1.4186693	4642.34617	24.297628	11.0150571	1982-1999 –> 2000-2009	2.524219	1.1055493	8540.6667	50.898724	13	23
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1523	1.1814973	4844.10642	28.138626	5.2692781	2000-2009 –> 2010-2019	2.372498	1.1910012	9030.4990	60.534086	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1523	1.2298789	4964.35208	19.576966	4.8629451	2000-2009 –> 2010-2019	2.426272	1.1963930	9160.5699	50.498022	2	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1523	1.2308249	4968.69414	32.564887	5.4079077	2000-2009 –> 2010-2019	2.458399	1.2275741	9234.2697	61.181366	3	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1523	1.2333087	4974.83472	30.986337	5.4094289	2000-2009 –> 2010-2019	2.465033	1.2317241	9249.2459	59.333552	4	9
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1523	1.2354844	4980.20340	32.753523	5.4268946	2000-2009 –> 2010-2019	2.465046	1.2295619	9250.0150	58.276339	5	9
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1523	1.3038329	5144.21586	27.732216	5.9365514	2000-2009 –> 2010-2019	2.541627	1.2377939	9431.4967	54.696636	7	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1523	1.3235299	5187.88759	17.365659	5.6572699	2000-2009 –> 2010-2019	2.564303	1.2407727	9479.4612	43.566318	8	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1523	1.2684803	5058.48517	29.380875	5.2635898	2000-2009 –> 2010-2019	2.583254	1.3147741	9501.7209	51.786560	6	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1523	1.5091593	5587.67642	15.898170	7.2176844	2000-2009 –> 2010-2019	2.886934	1.3777743	10153.4464	41.242490	10	21
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1523	1.5048197	5578.90505	16.704481	7.1049496	2000-2009 –> 2010-2019	2.889412	1.3845926	10157.5989	45.170294	9	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1314	2.7252734	6377.72112	38.257088	23.0061226	1982-1999 –> 2000-2009	3.796155	1.0708815	10624.9204	71.720981	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1314	2.7415357	6393.35640	57.512880	23.0539241	1982-1999 –> 2000-2009	3.856233	1.1146974	10754.6826	105.451309	3	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1314	2.7500474	6401.50300	37.818694	23.1081442	1982-1999 –> 2000-2009	3.865985	1.1159375	10765.9937	62.152361	6	9
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1314	2.7941167	6443.28258	46.819194	23.3995674	1982-1999 –> 2000-2009	3.912750	1.1186329	10814.6390	93.378116	10	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	1314	2.7255152	6375.95429	36.848878	22.9566945	1982-1999 –> 2000-2009	3.966016	1.2405012	11039.6105	67.317892	2	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	1314	2.7425424	6392.32119	14.794889	23.3405557	1982-1999 –> 2000-2009	3.970298	1.2277552	11026.5837	34.106542	4	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1314	2.7564867	6405.64931	46.297235	23.3672727	1982-1999 –> 2000-2009	4.046832	1.2903453	11181.4218	88.591773	7	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1314	2.7627793	6411.64175	16.121220	23.3921204	1982-1999 –> 2000-2009	4.057528	1.2947484	11197.1092	37.145240	8	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1314	2.7956844	6442.75670	44.779293	23.4860614	1982-1999 –> 2000-2009	4.112557	1.3168724	11276.4445	82.562641	11	22
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	1314	2.7442594	6391.96603	5.408322	23.2265580	1982-1999 –> 2000-2009	4.127096	1.3828365	11362.7584	12.585067	5	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1500	1.6521805	5777.10343	26.960511	11.8924963	2000-2009 –> 2010-2019	4.377454	2.7252734	12154.8245	65.217599	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1500	1.7050075	5871.52421	51.432836	11.9405142	2000-2009 –> 2010-2019	4.446543	2.7415357	12264.8806	108.945716	2	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1500	1.7109126	5881.89640	29.738139	12.0005362	2000-2009 –> 2010-2019	4.460960	2.7500474	12283.3994	67.556833	3	9
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1500	1.7166404	5891.92300	48.440641	12.0362975	2000-2009 –> 2010-2019	4.510757	2.7941167	12335.2056	95.259835	4	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	1500	1.8284490	6079.21986	24.736507	11.8676790	2000-2009 –> 2010-2019	4.553964	2.7255152	12455.1741	61.585385	6	8
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1500	1.8774926	6160.62707	26.548415	12.0938673	2000-2009 –> 2010-2019	4.774145	2.8966526	12698.6221	59.656027	7	26
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1500	1.7650384	5973.33296	25.572523	12.8500646	2000-2009 –> 2010-2019	4.787679	3.0226404	12621.2150	48.366441	5	28
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1500	1.9800456	6320.17526	593.160184	12.9942653	2000-2009 –> 2010-2019	4.812092	2.8320463	12798.8925	1156.983453	8	21
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	1500	2.1262285	6531.86479	26.942892	13.6557604	2000-2009 –> 2010-2019	4.868771	2.7425424	12924.1860	41.737782	11	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	1500	1.9805530	6318.94393	20.978315	13.0013000	2000-2009 –> 2010-2019	4.889784	2.9092314	12866.3265	51.711782	9	30
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1430	3.8017279	7891.56742	90.461770	23.8277803	1982-1999 –> 2000-2009	7.076974	3.2752456	16805.3794	161.871807	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1430	3.8249530	7906.98629	87.394148	23.9272567	1982-1999 –> 2000-2009	7.159786	3.3348329	16880.3879	151.566947	2	4
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1430	3.8269418	7910.47293	30.917300	20.4009381	1982-1999 –> 2000-2009	7.224568	3.3976258	16949.5977	53.905223	3	9
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1430	3.8270058	7910.52081	106.109497	20.4134599	1982-1999 –> 2000-2009	7.224690	3.3976843	16949.7043	185.389305	4	11
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1430	3.8291714	7912.13871	31.239727	20.4440192	1982-1999 –> 2000-2009	7.227318	3.3981464	16951.7868	67.487726	7	15
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	1430	3.8292504	7910.19776	18.857168	20.4647725	1982-1999 –> 2000-2009	7.276948	3.4476971	16997.2972	36.446739	8	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1430	3.8270547	7908.55735	21.886703	20.3746505	1982-1999 –> 2000-2009	7.283108	3.4560532	17003.9260	42.225807	5	15
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1430	3.8271070	7908.59644	91.609746	20.3864888	1982-1999 –> 2000-2009	7.284439	3.4573319	17005.2288	168.996722	6	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1430	3.9600722	8006.27426	69.753206	26.6832748	1982-1999 –> 2000-2009	7.301696	3.3416237	16986.6248	125.422924	11	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1430	3.8297505	7910.57125	19.712595	21.2708656	1982-1999 –> 2000-2009	7.316494	3.4867433	17036.1404	40.347569	9	23
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1784	3.4117371	9455.49930	108.673347	19.1064360	2000-2009 –> 2010-2019	7.213465	3.8017279	17347.0667	199.135116	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1784	3.4260811	9470.46879	38.943930	19.9588831	2000-2009 –> 2010-2019	7.255253	3.8291714	17382.6075	70.183657	2	9
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1784	3.4372854	9482.11817	43.459950	19.9262858	2000-2009 –> 2010-2019	7.264227	3.8269418	17392.5911	74.377250	3	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1784	3.4375441	9482.38671	125.087703	19.9439639	2000-2009 –> 2010-2019	7.264550	3.8270058	17392.9075	231.197200	4	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1784	3.4382704	9481.14046	25.231040	20.0572522	2000-2009 –> 2010-2019	7.268021	3.8297505	17391.7117	44.943635	5	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	1784	3.5606054	9605.88503	35.049167	20.4513826	2000-2009 –> 2010-2019	7.389856	3.8292504	17516.0828	53.906335	6	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1784	3.5857123	9630.95573	115.164309	20.5073799	2000-2009 –> 2010-2019	7.412819	3.8271070	17539.5522	206.774054	7	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1784	3.5904333	9635.65039	40.811079	20.4696915	2000-2009 –> 2010-2019	7.417488	3.8270547	17544.2077	62.697782	8	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1784	3.6546963	9698.94705	107.275807	19.9597920	2000-2009 –> 2010-2019	7.479649	3.8249530	17605.9333	194.669955	10	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + phosphate_star	1784	3.6691996	9711.07826	18.442368	19.2337167	2000-2009 –> 2010-2019	7.503190	3.8339909	17622.8144	28.710297	11	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	770	0.9719460	2155.34454	52.984922	10.6991665	1982-1999 –> 2000-2009	1.688544	0.7165982	4245.2001	114.185263	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	770	0.9908928	2183.07602	43.766184	11.2980840	1982-1999 –> 2000-2009	1.709071	0.7181783	4275.1428	103.055845	3	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	770	0.9884755	2181.31459	170.010722	10.6405517	1982-1999 –> 2000-2009	1.718474	0.7299985	4306.5941	384.714794	2	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	770	0.9949039	2191.29734	41.014894	10.7080769	1982-1999 –> 2000-2009	1.728254	0.7333501	4325.3352	80.720416	4	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	770	1.0048890	2204.67612	155.377067	11.2144610	1982-1999 –> 2000-2009	1.738816	0.7339265	4338.2164	348.486472	5	10
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	770	1.0093490	2211.49589	39.243349	11.2405046	1982-1999 –> 2000-2009	1.747887	0.7385383	4357.0130	75.849298	6	12
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	770	1.0191694	2228.40688	154.626495	11.1856266	1982-1999 –> 2000-2009	1.758802	0.7396326	4378.7550	345.887897	7	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	770	1.0201719	2227.92089	151.992590	11.2804769	1982-1999 –> 2000-2009	1.786111	0.7659391	4443.0915	341.312490	8	16
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	770	1.1057567	2353.98140	47.445467	11.4998409	1982-1999 –> 2000-2009	1.893620	0.7878631	4625.1120	101.231032	15	24
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	770	1.0539043	2278.01791	52.846770	10.4399676	1982-1999 –> 2000-2009	1.894500	0.8405956	4671.0199	113.390356	9	19
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1039	1.3304492	3555.85786	104.240742	8.6309363	2000-2009 –> 2010-2019	2.302395	0.9719460	5711.2024	157.225664	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1039	1.3310549	3554.80359	104.168424	8.5655670	2000-2009 –> 2010-2019	2.321948	0.9908928	5737.8796	147.934608	2	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1039	1.3480864	3583.22403	419.428530	8.5691248	2000-2009 –> 2010-2019	2.336562	0.9884755	5764.5386	589.439252	5	7
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1039	1.3544082	3592.94593	79.077631	8.6658207	2000-2009 –> 2010-2019	2.349312	0.9949039	5784.2433	120.092526	7	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1039	1.3491151	3582.80911	336.025420	8.4763547	2000-2009 –> 2010-2019	2.354004	1.0048890	5787.4852	491.402488	6	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1039	1.3563960	3593.99354	79.059818	8.5427241	2000-2009 –> 2010-2019	2.365745	1.0093490	5805.4894	118.303167	8	14
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1039	1.3685692	3614.55969	354.875213	8.9170922	2000-2009 –> 2010-2019	2.387739	1.0191694	5842.9666	509.501708	11	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1039	1.3433787	3573.95463	101.745931	8.4266087	2000-2009 –> 2010-2019	2.397283	1.0539043	5851.9725	154.592701	3	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1039	1.3864397	3639.51807	333.278742	8.7426671	2000-2009 –> 2010-2019	2.406612	1.0201719	5867.4390	485.271332	14	22
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	1039	1.3434486	3572.06282	101.178714	8.4453994	2000-2009 –> 2010-2019	2.419598	1.0761498	5880.2483	144.908832	4	14
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1283	1.2489019	4225.32746	72.891480	7.7591751	1982-1999 –> 2000-2009	1.890550	0.6416477	6533.0512	137.469917	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1283	1.2520342	4231.75510	100.602371	7.7468893	1982-1999 –> 2000-2009	1.905852	0.6538181	6583.6723	264.362457	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1283	1.2604564	4248.95819	50.182159	7.5801878	1982-1999 –> 2000-2009	1.918608	0.6581513	6616.4118	86.178153	3	6
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1283	1.3135154	4354.76267	79.246534	7.3949283	1982-1999 –> 2000-2009	1.978869	0.6653537	6747.8153	218.048314	6	10
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1283	1.3392984	4402.64262	74.472103	7.4119960	1982-1999 –> 2000-2009	2.017006	0.6777079	6836.9666	213.273843	7	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1283	1.3490506	4421.25938	60.803390	10.7866358	1982-1999 –> 2000-2009	2.043379	0.6943290	6912.5710	124.195867	11	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1283	1.3548038	4432.17917	36.325815	7.2277894	1982-1999 –> 2000-2009	2.049571	0.6947676	6924.9762	89.314503	13	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1283	1.3572170	4436.74572	77.342463	7.1969476	1982-1999 –> 2000-2009	2.058458	0.7012411	6951.3560	226.200213	15	23
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1283	1.3616740	4445.15857	36.032808	7.0765333	1982-1999 –> 2000-2009	2.064624	0.7029501	6965.4940	69.575884	17	26
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1283	1.3552806	4433.08216	76.213003	10.8628353	1982-1999 –> 2000-2009	2.069276	0.7139957	6990.0879	224.419764	14	24
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1531	1.0700288	4566.04298	137.010026	6.9067981	2000-2009 –> 2010-2019	2.318931	1.2489019	8791.3704	209.901505	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1531	1.0823540	4601.11116	340.374974	6.8562594	2000-2009 –> 2010-2019	2.334388	1.2520342	8832.8663	440.977345	3	5
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1531	1.0897732	4622.02876	86.104067	6.9658837	2000-2009 –> 2010-2019	2.350230	1.2604564	8870.9870	136.286225	4	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1531	1.1050764	4664.72788	279.581575	7.2965030	2000-2009 –> 2010-2019	2.418592	1.3135154	9019.4905	358.828108	7	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1531	1.0821054	4598.40800	129.844282	7.2242281	2000-2009 –> 2010-2019	2.436909	1.3548038	9030.5872	166.170097	2	15
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1531	1.1053736	4663.55143	276.509117	7.2800604	2000-2009 –> 2010-2019	2.444672	1.3392984	9066.1940	350.981221	8	15
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1531	1.0933624	4630.09706	299.196088	7.1801076	2000-2009 –> 2010-2019	2.450579	1.3572170	9066.8428	376.538551	5	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1531	1.0987604	4645.17690	81.909340	7.2469914	2000-2009 –> 2010-2019	2.460434	1.3616740	9090.3355	117.942148	6	23
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1531	1.1160925	4693.10060	124.748077	6.7259803	2000-2009 –> 2010-2019	2.465143	1.3490506	9114.3600	185.551467	9	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1531	1.1328954	4738.85596	340.332850	6.6172976	2000-2009 –> 2010-2019	2.488176	1.3552806	9171.9381	416.545853	11	25
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2172	1.0231923	6275.46560	847.679778	11.6769397	1982-1999 –> 2000-2009	1.718857	0.6956653	10659.5204	1644.498376	1	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2172	1.0388715	6343.52775	133.111598	10.7325412	1982-1999 –> 2000-2009	1.720818	0.6819459	10647.1209	245.718135	2	3
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2172	1.0515270	6396.12617	673.192242	10.2891870	1982-1999 –> 2000-2009	1.734126	0.6825994	10703.6849	1060.358089	9	11
Atlantic	(28.15,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2172	1.0464438	6375.07616	939.603229	12.1699988	1982-1999 –> 2000-2009	1.742851	0.6964071	10765.5436	1619.071023	5	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2172	1.0509923	6391.91696	74.166940	12.3658421	1982-1999 –> 2000-2009	1.748274	0.6972816	10785.5794	135.891744	7	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	2172	1.0427430	6357.68581	62.146168	10.1180683	1982-1999 –> 2000-2009	1.749062	0.7063193	10804.6633	136.555117	4	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2172	1.0417386	6353.49989	335.939105	12.0976333	1982-1999 –> 2000-2009	1.754219	0.7124807	10836.4354	545.098121	3	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2172	1.0472865	6376.57263	348.150024	12.1056550	1982-1999 –> 2000-2009	1.765590	0.7183033	10893.2040	566.255013	6	14
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2172	1.0512514	6392.98765	411.783980	12.2825160	1982-1999 –> 2000-2009	1.778474	0.7272222	10960.7071	716.083252	8	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2172	1.0647036	6448.22254	559.122259	9.9990374	1982-1999 –> 2000-2009	1.793305	0.7286013	11023.7856	869.146093	14	24
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2893	0.8460254	7256.52486	202.123243	6.8523794	2000-2009 –> 2010-2019	1.884897	1.0388715	13600.0526	335.234841	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2893	0.8500741	7282.14853	114.873002	6.8253993	2000-2009 –> 2010-2019	1.901066	1.0509923	13674.0655	189.039942	2	7
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2893	0.8608451	7354.99984	294.308326	6.8543189	2000-2009 –> 2010-2019	1.902584	1.0417386	13708.4997	630.247430	5	7
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	2893	0.8604864	7352.58847	135.545209	6.6002959	2000-2009 –> 2010-2019	1.903229	1.0427430	13710.2743	197.691377	4	7
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2893	0.8520130	7297.33043	757.849720	6.1835460	2000-2009 –> 2010-2019	1.903540	1.0515270	13693.4566	1431.041962	3	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2893	0.8657342	7387.76801	302.952265	6.8322934	2000-2009 –> 2010-2019	1.913021	1.0472865	13764.3406	651.102289	6	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2893	0.8732552	7437.81681	483.266954	6.7375248	2000-2009 –> 2010-2019	1.924507	1.0512514	13830.8045	895.050935	7	13
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2893	0.9005674	7618.00870	171.225973	6.0858770	2000-2009 –> 2010-2019	1.954936	1.0543689	14025.8593	259.640220	8	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2893	0.9036335	7635.67496	168.765988	5.9212987	2000-2009 –> 2010-2019	1.958140	1.0545067	14042.0934	244.439150	9	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2893	0.9063864	7653.27500	143.222315	5.8010067	2000-2009 –> 2010-2019	1.967080	1.0606937	14085.1060	212.178791	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2585	0.7258341	5693.26967	181.764337	3.7836526	1982-1999 –> 2000-2009	1.280967	0.5551333	11403.7555	411.471120	1	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2585	0.7490400	5855.97388	579.448542	3.7543886	1982-1999 –> 2000-2009	1.295585	0.5465448	11459.4982	880.839706	4	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2585	0.7521974	5877.72090	629.201103	3.7168060	1982-1999 –> 2000-2009	1.295897	0.5436992	11445.4354	930.657027	9	10
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2585	0.7331926	5745.41925	49.925071	3.7430251	1982-1999 –> 2000-2009	1.295929	0.5627369	11549.2275	87.558663	2	9
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2585	0.7492959	5857.73985	590.668184	3.7450611	1982-1999 –> 2000-2009	1.296407	0.5471115	11468.3737	890.500900	5	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	2585	0.7346999	5754.03645	32.200816	3.7414060	1982-1999 –> 2000-2009	1.297891	0.5631915	11561.3847	63.466814	3	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2585	0.7497639	5858.96805	336.010020	3.8743570	1982-1999 –> 2000-2009	1.300800	0.5510362	11516.6364	549.377866	7	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2585	0.7492989	5855.76060	103.865404	3.7392654	1982-1999 –> 2000-2009	1.307615	0.5583162	11603.4660	212.592122	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	2585	0.7502278	5862.16603	11.379576	3.6911261	1982-1999 –> 2000-2009	1.316238	0.5660106	11703.7668	28.702302	8	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	2585	0.7545380	5889.78351	8.639824	3.9750539	1982-1999 –> 2000-2009	1.320736	0.5661980	11731.6549	25.959961	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4810	0.6339590	9279.67172	480.113488	4.5232201	2000-2009 –> 2010-2019	1.359793	0.7258341	14972.9414	661.877825	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4810	0.6721584	9842.53543	162.078698	4.6081960	2000-2009 –> 2010-2019	1.405351	0.7331926	15587.9547	212.003769	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	4810	0.6779329	9922.82816	148.787364	4.2987800	2000-2009 –> 2010-2019	1.412633	0.7346999	15676.8646	180.988180	6	9
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4810	0.6751152	9884.76005	613.615572	4.3082043	2000-2009 –> 2010-2019	1.424411	0.7492959	15742.4999	1204.283756	3	8
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4810	0.6754755	9889.89326	629.966087	4.3139934	2000-2009 –> 2010-2019	1.424516	0.7490400	15745.8671	1209.414629	4	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4810	0.6755149	9888.45461	473.733005	4.2076042	2000-2009 –> 2010-2019	1.424814	0.7492989	15744.2152	577.598409	5	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	4810	0.6800256	9952.47743	25.112531	4.5137006	2000-2009 –> 2010-2019	1.430253	0.7502278	15814.6435	36.492108	8	16
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4810	0.6783050	9930.10670	635.814481	4.2932616	2000-2009 –> 2010-2019	1.430502	0.7521974	15807.8276	1265.015584	7	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4810	0.6815236	9973.64534	617.595902	3.9957689	2000-2009 –> 2010-2019	1.431287	0.7497639	15832.6134	953.605923	9	16
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	4810	0.6859935	10034.53489	13.402939	4.1956504	2000-2009 –> 2010-2019	1.440532	0.7545380	15924.3184	22.042763	10	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2481	5.8077758	15783.91187	22.228854	42.1405835	1982-1999 –> 2000-2009	10.837890	5.0301141	23790.4719	50.215189	3	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2481	5.5379149	15547.82181	102.484313	30.8470413	1982-1999 –> 2000-2009	10.857072	5.3191576	23701.5495	196.825025	1	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2481	5.6632764	15658.89384	102.238314	22.7591607	1982-1999 –> 2000-2009	10.998239	5.3349623	23820.4363	204.768477	2	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2481	5.9091841	15869.80454	17.183214	46.3021786	1982-1999 –> 2000-2009	11.061199	5.1520151	23939.4364	30.741571	5	7
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2481	6.0004512	15945.85661	20.070978	44.2581752	1982-1999 –> 2000-2009	11.210401	5.2099495	24044.9425	36.527446	6	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2481	6.0976554	16025.59428	16.678654	21.1117598	1982-1999 –> 2000-2009	11.285145	5.1874899	24113.3007	39.800378	7	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2481	5.8953801	15856.19963	102.140280	24.6730491	1982-1999 –> 2000-2009	11.319930	5.4245504	24059.6066	196.479350	4	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2481	6.2724419	16165.82740	6.556115	20.9629218	1982-1999 –> 2000-2009	11.629740	5.3572984	24338.3746	12.712026	9	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2481	6.3081613	16194.00412	8.799013	21.2009402	1982-1999 –> 2000-2009	11.696448	5.3882869	24381.7435	17.759909	10	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	2481	6.3669803	16238.05676	15.206419	23.4574499	1982-1999 –> 2000-2009	11.715914	5.3489334	24404.4880	36.935351	11	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3624	5.4154711	22542.22211	156.480610	54.4181736	2000-2009 –> 2010-2019	10.953386	5.5379149	38090.0439	258.964923	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3624	5.5066502	22663.23914	156.599843	43.4871954	2000-2009 –> 2010-2019	11.169927	5.6632764	38322.1330	258.838157	3	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3624	5.4904253	22641.85189	26.380470	43.4831599	2000-2009 –> 2010-2019	11.298201	5.8077758	38425.7638	48.609324	2	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3624	5.5683693	22744.02352	15.755337	47.9398157	2000-2009 –> 2010-2019	11.477553	5.9091841	38613.8281	32.938551	4	9
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3624	5.6773090	22882.45429	156.480126	38.9633225	2000-2009 –> 2010-2019	11.572689	5.8953801	38738.6539	258.620406	6	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3624	5.6461860	22844.61148	19.664763	47.8767290	2000-2009 –> 2010-2019	11.646637	6.0004512	38790.4681	39.735740	5	11
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3624	5.8604254	23114.54098	26.136257	21.7770298	2000-2009 –> 2010-2019	11.958081	6.0976554	39140.1353	42.814911	7	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3624	5.9510515	23225.76680	14.976074	62.7035297	2000-2009 –> 2010-2019	12.136135	6.1850841	39322.0014	27.733046	8	16
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3624	6.0239251	23313.98318	9.545202	21.7441713	2000-2009 –> 2010-2019	12.296367	6.2724419	39479.8106	16.101316	9	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3624	6.0807486	23382.03290	9.917575	21.5424107	2000-2009 –> 2010-2019	12.388910	6.3081613	39576.0370	18.716589	11	21
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2442	4.0717473	13801.58452	530.284599	15.5121988	1982-1999 –> 2000-2009	7.760798	3.6890511	25126.9106	1376.772441	1	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2442	4.2725366	14036.67816	55.535465	16.3060384	1982-1999 –> 2000-2009	7.833769	3.5612321	25215.5935	107.062108	5	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2442	4.0774265	13808.39188	55.901180	18.1158388	1982-1999 –> 2000-2009	7.859730	3.7823035	25237.3682	103.197344	2	8
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2442	4.2690934	14032.74067	525.502837	14.4984953	1982-1999 –> 2000-2009	7.873592	3.6044987	25261.7961	1417.736982	4	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2442	4.4305742	14214.07239	30.200960	17.1752944	1982-1999 –> 2000-2009	8.059659	3.6290848	25471.3522	47.884977	10	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2442	4.2745779	14039.01110	55.985186	13.6796704	1982-1999 –> 2000-2009	8.101736	3.8271586	25516.9371	109.635697	6	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2442	4.2435697	14003.45300	30.080533	18.3138267	1982-1999 –> 2000-2009	8.109595	3.8660250	25523.3317	46.670977	3	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2442	4.4713766	14258.84467	32.885179	17.3372050	1982-1999 –> 2000-2009	8.115047	3.6436699	25532.7777	51.772304	12	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2442	4.2820605	14047.55302	19.251691	13.3255627	1982-1999 –> 2000-2009	8.127791	3.8457305	25545.5786	29.276825	8	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2442	4.2755197	14040.08700	32.084261	18.2909550	1982-1999 –> 2000-2009	8.155079	3.8795591	25574.4755	48.950564	7	18
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2875	3.5341994	15432.19572	56.298992	17.1250645	2000-2009 –> 2010-2019	7.611626	4.0774265	29240.5876	112.200172	1	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2875	3.7766651	15813.73447	469.231612	34.2970298	2000-2009 –> 2010-2019	7.848412	4.0717473	29615.3190	999.516211	4	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2875	3.6271540	15581.47436	19.047901	18.2544274	2000-2009 –> 2010-2019	7.870724	4.2435697	29584.9274	49.128434	2	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2875	3.6546581	15624.91125	19.153700	18.4375612	2000-2009 –> 2010-2019	7.930178	4.2755197	29664.9982	51.237962	3	10
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2875	3.9131239	16017.82854	56.047911	17.0687279	2000-2009 –> 2010-2019	8.187702	4.2745779	30056.8396	112.033097	5	11
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2875	3.9575244	16082.70398	13.978564	17.6286566	2000-2009 –> 2010-2019	8.239585	4.2820605	30130.2570	33.230255	6	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2875	3.9902696	16130.08461	17.823337	17.7545135	2000-2009 –> 2010-2019	8.289196	4.2989265	30196.8367	44.676096	7	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2875	4.0736928	16249.05858	47.693424	21.3686891	2000-2009 –> 2010-2019	8.346229	4.2725366	30285.7367	103.228889	8	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2875	4.0866359	16267.29870	296.528559	26.8132940	2000-2009 –> 2010-2019	8.535874	4.4492382	30501.9019	574.181126	9	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2875	4.3000795	16560.03922	431.343434	39.6214108	2000-2009 –> 2010-2019	8.569173	4.2690934	30592.7799	956.846271	16	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2222	4.3222047	12824.73721	689.420549	23.0956536	1982-1999 –> 2000-2009	7.222161	2.8999560	22062.9543	1461.200496	1	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2222	4.4434206	12947.65326	119.338886	22.6789278	1982-1999 –> 2000-2009	7.280336	2.8369159	22104.2438	229.437746	4	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2222	4.4151448	12919.28343	120.453940	24.9002443	1982-1999 –> 2000-2009	7.410730	2.9955851	22277.9975	229.940905	3	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2222	4.5459559	13049.03667	55.827195	23.6049086	1982-1999 –> 2000-2009	7.493499	2.9475426	22347.7037	100.754305	9	12
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2222	4.3532255	12856.51826	113.767843	18.1373933	1982-1999 –> 2000-2009	7.517728	3.1645027	22418.9688	194.135785	2	12
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2222	4.5569715	13059.79216	60.460761	23.6137704	1982-1999 –> 2000-2009	7.520258	2.9632863	22378.2439	109.440769	10	14
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2222	4.5108095	13014.54498	27.058576	25.8597211	1982-1999 –> 2000-2009	7.622078	3.1112681	22513.9855	47.478721	7	14
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2222	4.5275554	13031.01226	40.487511	25.9473557	1982-1999 –> 2000-2009	7.659225	3.1316695	22554.7271	71.159165	8	17
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2222	4.4658910	12970.06995	54.028893	18.6425508	1982-1999 –> 2000-2009	7.762242	3.2963506	22684.1262	94.532197	5	18
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2222	4.4745051	12978.63362	57.060015	18.6674148	1982-1999 –> 2000-2009	7.778710	3.3042049	22701.5288	99.684756	6	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2642	3.4496933	14054.77088	85.702489	14.5097523	2000-2009 –> 2010-2019	7.802919	4.3532255	26911.2891	199.470331	1	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2642	3.5700119	14235.92536	556.859208	15.8501066	2000-2009 –> 2010-2019	7.892216	4.3222047	27060.6626	1246.279757	3	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2642	3.5623975	14224.64331	46.799851	15.5969391	2000-2009 –> 2010-2019	8.028289	4.4658910	27194.7133	100.828744	2	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2642	3.5794430	14249.86605	47.660662	15.6907505	2000-2009 –> 2010-2019	8.053948	4.4745051	27228.4997	104.720677	4	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2642	3.6878613	14407.53799	93.854623	16.6812570	2000-2009 –> 2010-2019	8.103006	4.4151448	27326.8214	214.308563	6	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2642	3.6002072	14278.42983	477.589481	15.9922064	2000-2009 –> 2010-2019	8.200886	4.6006782	27378.6421	1088.834905	5	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2642	3.8417871	14623.60570	21.518092	16.3109763	2000-2009 –> 2010-2019	8.352597	4.5108095	27638.1507	48.576668	8	15
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2642	3.8727399	14666.00771	30.099755	16.3917947	2000-2009 –> 2010-2019	8.400295	4.5275554	27697.0200	70.587267	10	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	2642	3.7214748	14453.48153	83.975990	16.1552288	2000-2009 –> 2010-2019	8.455792	4.7343167	27680.9418	197.661718	7	21
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2642	3.9271447	14739.72155	47.393658	14.8518903	2000-2009 –> 2010-2019	8.531392	4.6042474	27845.3800	95.966318	12	24
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3292	3.6976865	17966.23649	144.739973	14.0728458	1982-1999 –> 2000-2009	6.534727	2.8370402	29988.4083	254.354671	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3292	3.7764507	18105.00917	73.701481	15.3303454	1982-1999 –> 2000-2009	6.792914	3.0164635	30426.3186	127.929030	2	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3292	3.7801899	18111.52498	83.558826	15.3125517	1982-1999 –> 2000-2009	6.812168	3.0319781	30457.8592	145.355615	3	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3292	3.9160997	18344.08457	797.998261	14.6404492	1982-1999 –> 2000-2009	6.857321	2.9412210	30542.1741	1456.742414	6	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3292	3.9233285	18354.22692	757.188996	14.7884467	1982-1999 –> 2000-2009	6.878263	2.9549343	30573.0071	1372.789700	7	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3292	3.7992876	18144.70387	51.442152	14.3387647	1982-1999 –> 2000-2009	6.957746	3.1584581	30690.3956	89.582049	4	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3292	3.8033293	18149.70431	49.208123	14.5527108	1982-1999 –> 2000-2009	6.972313	3.1689840	30709.6255	85.811300	5	14
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3292	3.9245803	18358.32733	143.589515	17.1931273	1982-1999 –> 2000-2009	7.017636	3.0930560	30801.9500	257.296857	8	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3292	3.9529710	18403.78495	142.165210	17.3327781	1982-1999 –> 2000-2009	7.063923	3.1109521	30873.5498	251.702578	9	16
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3292	4.0228747	18521.19784	34.954840	18.5905199	1982-1999 –> 2000-2009	7.323247	3.3003728	31281.2849	62.388728	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3353	3.4545265	17842.73218	123.984852	21.0625065	2000-2009 –> 2010-2019	7.152213	3.6976865	35808.9687	268.724825	5	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3353	3.3020841	17534.85278	657.855357	19.0891403	2000-2009 –> 2010-2019	7.218184	3.9160997	35878.9373	1455.853619	2	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3353	3.2959483	17527.60727	118.990219	21.4711068	2000-2009 –> 2010-2019	7.220529	3.9245803	35885.9346	262.579733	1	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3353	3.5172079	17957.96654	45.810883	17.3667231	2000-2009 –> 2010-2019	7.316496	3.7992876	36102.6704	97.253035	6	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3353	3.5464565	18013.48568	65.400521	22.2510700	2000-2009 –> 2010-2019	7.322907	3.7764507	36118.4949	139.102001	7	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3353	3.5581218	18035.50070	73.952833	22.2944923	2000-2009 –> 2010-2019	7.338312	3.7801899	36147.0257	157.511658	9	12
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3353	3.3880494	17707.14915	28.403645	22.5612083	2000-2009 –> 2010-2019	7.410924	4.0228747	36228.3470	63.358485	3	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3353	3.4022135	17735.11755	40.964946	22.6241988	2000-2009 –> 2010-2019	7.430254	4.0280409	36264.7652	96.653481	4	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3353	3.8263198	18520.68465	41.727697	19.1614066	2000-2009 –> 2010-2019	7.629649	3.8033293	36670.3890	90.935820	17	22
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3353	3.8216120	18512.43118	657.503023	21.6859682	2000-2009 –> 2010-2019	7.744941	3.9233285	36866.6581	1414.692019	16	23
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4257	3.0085914	21472.77516	738.491276	9.5594251	1982-1999 –> 2000-2009	5.444083	2.4354916	34588.5357	1475.974244	1	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4257	3.1610647	21893.68103	130.975820	10.6248491	1982-1999 –> 2000-2009	5.560161	2.3990959	34924.0101	235.407126	3	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4257	3.1159380	21771.26096	126.815431	10.3217646	1982-1999 –> 2000-2009	5.597907	2.4819693	34994.2811	247.421248	2	5
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4257	3.1791769	21940.32526	698.153473	9.9879961	1982-1999 –> 2000-2009	5.668074	2.4888970	35177.1607	1286.432870	4	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4257	3.2243071	22060.33647	122.513004	10.3529092	1982-1999 –> 2000-2009	5.729153	2.5048455	35333.4141	224.607075	5	11
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4257	3.2568608	22147.86561	62.634689	11.5774382	1982-1999 –> 2000-2009	5.760025	2.5031642	35419.1333	115.840931	9	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4257	3.2646831	22168.28978	69.683568	11.6149373	1982-1999 –> 2000-2009	5.783223	2.5185403	35474.3044	128.914999	11	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4257	3.2339074	22087.64905	22.843681	10.9279026	1982-1999 –> 2000-2009	5.824539	2.5906314	35553.7961	47.824478	6	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4257	3.2376650	22097.53603	33.608342	10.9594255	1982-1999 –> 2000-2009	5.841033	2.6033679	35591.5102	67.956070	8	18
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4257	3.3069324	22275.76528	21.021148	10.9432448	1982-1999 –> 2000-2009	5.907609	2.6006762	35761.8699	39.962143	12	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4430	2.6371354	21177.27760	819.072083	10.1471976	2000-2009 –> 2010-2019	5.645727	3.0085914	42650.0528	1557.563359	2	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4430	2.6320348	21160.12451	153.588194	12.5602243	2000-2009 –> 2010-2019	5.793100	3.1610647	43053.8055	284.564014	1	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4430	2.6525439	21226.89486	791.735226	10.5195739	2000-2009 –> 2010-2019	5.831721	3.1791769	43167.2201	1489.888700	3	7
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4430	2.7531243	21558.63985	139.816723	11.5079615	2000-2009 –> 2010-2019	5.869062	3.1159380	43329.9008	266.632154	4	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4430	2.7536315	21558.27166	136.371110	11.5833491	2000-2009 –> 2010-2019	5.977939	3.2243071	43618.6081	258.884115	5	10
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4430	2.7538290	21560.90709	54.557150	13.1955661	2000-2009 –> 2010-2019	6.010690	3.2568608	43708.7727	117.191838	6	15
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4430	2.7624870	21588.71919	61.482056	13.1955178	2000-2009 –> 2010-2019	6.027170	3.2646831	43757.0090	131.165625	7	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4430	2.8677522	21920.05796	23.361014	12.3386387	2000-2009 –> 2010-2019	6.101660	3.2339074	44007.7070	46.204695	8	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4430	2.8744315	21940.67003	32.814926	12.3297158	2000-2009 –> 2010-2019	6.112097	3.2376650	44038.2061	66.423267	10	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4430	2.9114511	22054.04878	33.457738	11.0781588	2000-2009 –> 2010-2019	6.148602	3.2371514	44150.2341	78.983027	12	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5450	3.0462944	27622.22236	24.296359	10.0933875	1982-1999 –> 2000-2009	5.456180	2.4098858	46070.3358	44.959694	1	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5450	3.1272805	27908.21507	300.044332	11.3897929	1982-1999 –> 2000-2009	5.500788	2.3735081	46234.3419	748.837247	3	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5450	3.0627564	27680.96667	81.068588	9.8265450	1982-1999 –> 2000-2009	5.517070	2.4543137	46275.5882	159.064065	2	8
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5450	3.1809256	28093.60722	254.504613	12.5727767	1982-1999 –> 2000-2009	5.609194	2.4282686	46602.6657	474.561099	4	7
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5450	3.2152251	28210.51133	54.877453	11.7542011	1982-1999 –> 2000-2009	5.667414	2.4521893	46798.1878	130.899117	6	11
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5450	3.2163704	28214.39334	68.939053	11.6826804	1982-1999 –> 2000-2009	5.671848	2.4554773	46812.8159	161.133441	7	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5450	3.2450646	28309.20439	198.704640	13.5545837	1982-1999 –> 2000-2009	5.677718	2.4326536	46830.7324	385.926805	9	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5450	3.2173945	28215.86339	18.938506	11.5118710	1982-1999 –> 2000-2009	5.680338	2.4629438	46836.6360	32.654857	8	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5450	3.2498671	28327.32390	37.174086	12.8190861	1982-1999 –> 2000-2009	5.752834	2.5029667	47079.3742	75.910264	10	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5450	3.2559335	28347.65142	40.870057	12.8335527	1982-1999 –> 2000-2009	5.768089	2.5121556	47129.0907	84.160633	11	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5677	3.0738674	28874.44929	21.581876	15.2625555	2000-2009 –> 2010-2019	6.120162	3.0462944	56496.6716	45.878235	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5677	3.0178389	28665.58646	310.577314	15.2595416	2000-2009 –> 2010-2019	6.145119	3.1272805	56573.8015	610.621646	1	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5677	3.2201302	29402.24309	77.163704	10.1487458	2000-2009 –> 2010-2019	6.282887	3.0627564	57083.2098	158.232292	12	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5677	3.1051177	28989.29605	301.292330	17.6101511	2000-2009 –> 2010-2019	6.286043	3.1809256	57082.9033	555.796944	6	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5677	3.0927357	28943.93045	47.524857	15.6774495	2000-2009 –> 2010-2019	6.307961	3.2152251	57154.4418	102.402310	3	9
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5677	3.0930375	28945.03830	53.410739	15.5836066	2000-2009 –> 2010-2019	6.309408	3.2163704	57159.4316	122.349792	4	11
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5677	3.0930850	28943.21248	14.741502	15.5271159	2000-2009 –> 2010-2019	6.310479	3.2173945	57159.0759	33.680008	5	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5677	3.1060628	28990.75160	213.852067	17.7197480	2000-2009 –> 2010-2019	6.351127	3.2450646	57299.9560	412.556707	7	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5677	3.1765266	29247.44870	41.946075	17.9773626	2000-2009 –> 2010-2019	6.426394	3.2498671	57574.7726	79.120161	8	18
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5677	3.1818612	29266.50053	46.327694	17.9864829	2000-2009 –> 2010-2019	6.437795	3.2559335	57614.1520	87.197751	10	21
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6460	2.9055365	32127.39111	136.390092	9.5462672	1982-1999 –> 2000-2009	5.190901	2.2853641	52018.2375	261.065315	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6460	2.9025174	32113.95903	44.976238	9.7905327	1982-1999 –> 2000-2009	5.261261	2.3587441	52284.5636	75.403678	1	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6460	2.9549994	32345.48562	31.058534	10.4792474	1982-1999 –> 2000-2009	5.267224	2.3122250	52339.7668	52.966152	4	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6460	2.9070517	32134.12679	47.620956	9.8132663	1982-1999 –> 2000-2009	5.274668	2.3676168	52337.9667	84.092731	3	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	6460	3.0264480	32652.16005	30.995074	13.7674889	1982-1999 –> 2000-2009	5.421473	2.3950248	52955.8838	52.699522	9	15
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6460	2.9979034	32531.72424	436.905172	9.8960774	1982-1999 –> 2000-2009	5.432318	2.4344150	52981.8499	957.770088	5	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6460	3.0043641	32559.53771	62.297076	9.9860968	1982-1999 –> 2000-2009	5.460381	2.4560171	53087.8662	122.621279	7	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6460	3.0117894	32591.43002	62.222491	10.0583718	1982-1999 –> 2000-2009	5.471830	2.4600408	53134.2490	120.882796	8	21
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6460	3.0330057	32680.12501	39.119037	10.1494854	1982-1999 –> 2000-2009	5.498451	2.4654458	53240.3715	66.100606	11	25
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6460	3.0440684	32727.16402	33.948491	10.0485481	1982-1999 –> 2000-2009	5.501569	2.4575007	53258.8383	57.356438	12	24
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6360	3.2223222	32946.59933	118.356830	12.9127394	2000-2009 –> 2010-2019	6.127859	2.9055365	65073.9904	254.746921	1	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6360	3.2535912	33069.43736	39.126039	12.1877936	2000-2009 –> 2010-2019	6.156109	2.9025174	65183.3964	84.102277	3	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6360	3.2653201	33115.20919	41.949980	12.0203530	2000-2009 –> 2010-2019	6.172372	2.9070517	65249.3360	89.570935	4	7
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6360	3.2520492	33063.40751	19.869424	14.4779177	2000-2009 –> 2010-2019	6.207049	2.9549994	65408.8931	50.927958	2	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6360	3.3157416	33310.12433	428.352768	12.6440026	2000-2009 –> 2010-2019	6.313645	2.9979034	65841.8486	865.257940	6	11
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6360	3.3233415	33339.24604	72.312500	12.4225984	2000-2009 –> 2010-2019	6.327706	3.0043641	65898.7838	134.609576	7	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6360	3.3293979	33362.40564	46.698341	10.8184475	2000-2009 –> 2010-2019	6.330921	3.0015236	65909.7223	95.752320	10	16
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6360	3.3309203	33368.22086	72.112688	12.5423869	2000-2009 –> 2010-2019	6.342710	3.0117894	65959.6509	134.335179	11	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6360	3.3353699	33383.20136	30.826342	13.2079909	2000-2009 –> 2010-2019	6.368376	3.0330057	66063.3264	69.945379	13	24
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate	6360	3.3402581	33401.82984	34.315946	11.2695298	2000-2009 –> 2010-2019	6.372039	3.0317811	66076.7370	73.023681	14	24
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2500	2.2319284	11123.02246	550.094452	8.7433013	1982-1999 –> 2000-2009	4.219210	1.9872818	18587.0113	1147.748746	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2500	2.2399116	11140.87478	134.796409	8.8267598	1982-1999 –> 2000-2009	4.238130	1.9982187	18624.2815	267.373877	2	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2500	2.2455772	11153.50564	133.207157	8.9021805	1982-1999 –> 2000-2009	4.254328	2.0087508	18655.5113	260.131372	3	9
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2500	2.3011671	11275.77481	321.938935	9.4006204	1982-1999 –> 2000-2009	4.303024	2.0018567	18765.6170	757.349461	10	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2500	2.3133494	11302.17478	167.448826	8.8454324	1982-1999 –> 2000-2009	4.337132	2.0237824	18830.5569	332.771599	11	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2500	2.3187499	11313.83359	133.464940	9.3428357	1982-1999 –> 2000-2009	4.341131	2.0223808	18839.7646	277.013506	12	20
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2500	2.3281034	11331.96243	123.220485	9.1314890	1982-1999 –> 2000-2009	4.359950	2.0318466	18872.4144	265.254127	16	26
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2500	2.3329078	11344.27005	124.355285	9.5013317	1982-1999 –> 2000-2009	4.383902	2.0509947	18919.9080	238.599248	19	31
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2500	2.3941450	11473.82354	653.546596	8.6692335	1982-1999 –> 2000-2009	4.388353	1.9942084	18950.1226	1379.625091	43	45
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2500	2.4028727	11492.01761	172.270372	8.5564092	1982-1999 –> 2000-2009	4.406027	2.0031546	18984.1530	337.621037	45	50
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2485	2.4663150	11552.66850	667.626788	12.0085048	2000-2009 –> 2010-2019	4.698243	2.2319284	22675.6910	1217.721241	2	3
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2485	2.4862589	11592.69672	119.792249	11.8654890	2000-2009 –> 2010-2019	4.726171	2.2399116	22733.5715	254.588658	3	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2485	2.4988051	11617.71341	118.771100	11.8311459	2000-2009 –> 2010-2019	4.744382	2.2455772	22771.2190	251.978257	5	8
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2485	2.5090876	11638.12275	773.842671	13.3072025	2000-2009 –> 2010-2019	4.788785	2.2796972	22867.0285	1351.565699	7	11
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2485	2.5291714	11677.74640	88.747639	13.1657340	2000-2009 –> 2010-2019	4.816335	2.2871637	22923.0015	173.431644	8	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2485	2.5376635	11694.40601	88.712661	13.1123799	2000-2009 –> 2010-2019	4.827093	2.2894294	22944.6117	173.101351	9	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2485	2.4639353	11547.87069	878.244836	14.1224094	2000-2009 –> 2010-2019	4.858080	2.3941450	23021.6942	1531.791432	1	44
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2485	2.4887497	11597.67331	171.892564	13.9857136	2000-2009 –> 2010-2019	4.891622	2.4028727	23089.6909	344.162936	4	49
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2485	2.6343740	11878.29314	478.884905	11.8377585	2000-2009 –> 2010-2019	4.914481	2.2801074	23106.0986	884.270973	17	22
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2485	2.5057540	11631.51519	171.737701	13.9380521	2000-2009 –> 2010-2019	4.914617	2.4088628	23135.9818	342.734871	6	54
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2989	1.9247604	12410.81780	303.236341	8.1530022	1982-1999 –> 2000-2009	3.564169	1.6394091	19764.1383	583.933068	1	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2989	1.9521769	12495.36828	427.435308	7.4912127	1982-1999 –> 2000-2009	3.588829	1.6366522	19842.2327	1010.916731	2	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2989	1.9534511	12499.26900	339.292081	7.4730488	1982-1999 –> 2000-2009	3.594547	1.6410955	19856.5337	617.165152	3	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2989	1.9625643	12527.09274	334.974669	7.6117026	1982-1999 –> 2000-2009	3.611755	1.6491906	19903.2328	621.541443	5	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	2989	1.9563809	12506.22825	271.394990	7.2781570	1982-1999 –> 2000-2009	3.654297	1.6979160	19992.0611	525.179884	4	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2989	2.0194816	12697.99701	344.898843	8.0839948	1982-1999 –> 2000-2009	3.739781	1.7202992	20236.0685	633.038199	6	14
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2989	2.0503807	12788.77098	372.454077	8.4513951	1982-1999 –> 2000-2009	3.791422	1.7410411	20372.8170	786.290411	7	19
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	2989	2.0606588	12816.66231	200.617443	8.7645736	1982-1999 –> 2000-2009	3.803207	1.7425478	20402.0266	427.569485	12	25
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2989	2.0511266	12790.94522	452.760760	8.2748792	1982-1999 –> 2000-2009	3.833972	1.7828451	20466.0088	1163.578861	8	24
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	2989	2.0575256	12807.56596	366.592367	7.8924738	1982-1999 –> 2000-2009	3.842505	1.7849792	20485.2185	895.662905	10	27
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3173	1.9141896	13139.00579	333.070026	7.9231715	2000-2009 –> 2010-2019	3.838950	1.9247604	25549.8236	636.306367	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3173	1.9183070	13152.64154	577.782993	7.7439393	2000-2009 –> 2010-2019	3.870484	1.9521769	25648.0098	1005.218301	3	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3173	1.9181433	13152.09993	378.090265	7.7118098	2000-2009 –> 2010-2019	3.871594	1.9534511	25651.3689	717.382345	2	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3173	1.9183074	13150.64280	320.430923	7.7423523	2000-2009 –> 2010-2019	3.874688	1.9563809	25656.8711	591.825912	4	8
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3173	1.9308347	13193.94999	355.436142	7.6318978	2000-2009 –> 2010-2019	3.893399	1.9625643	25721.0427	690.410811	5	10
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3173	2.0947951	13711.17022	381.164671	9.0808978	2000-2009 –> 2010-2019	4.114277	2.0194816	26409.1672	726.063513	16	22
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3173	2.0675939	13628.22672	575.934502	8.7567704	2000-2009 –> 2010-2019	4.118721	2.0511266	26419.1719	1028.695262	6	14
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3173	2.0729673	13644.69773	88.524241	8.7047892	2000-2009 –> 2010-2019	4.129520	2.0565524	26451.4357	171.192229	10	19
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3173	2.0779342	13659.88490	82.716941	8.6645071	2000-2009 –> 2010-2019	4.136696	2.0587622	26473.0427	164.068642	11	22
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	3173	2.1126190	13762.93776	501.348048	8.1635040	2000-2009 –> 2010-2019	4.170145	2.0575256	26570.5037	867.940414	20	30
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3252	1.6808011	12620.11169	347.598934	8.3413234	1982-1999 –> 2000-2009	3.331694	1.6508925	21601.7007	653.647586	1	3
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3252	1.7275276	12798.45622	934.659218	8.0986753	1982-1999 –> 2000-2009	3.376114	1.6485869	21773.5186	1358.003864	3	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3252	1.7274006	12797.97797	901.599463	8.0866665	1982-1999 –> 2000-2009	3.378468	1.6510671	21780.0608	1243.687179	2	5
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3252	1.7294548	12805.70790	978.215992	8.1153939	1982-1999 –> 2000-2009	3.385589	1.6561339	21802.1001	1344.528247	5	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	3252	1.7283658	12799.61113	330.572163	8.2370492	1982-1999 –> 2000-2009	3.429554	1.7011885	21919.3518	595.444241	4	9
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3252	1.7989637	13061.99525	351.467231	8.6010861	1982-1999 –> 2000-2009	3.522540	1.7235766	22244.7935	778.539026	6	12
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3252	1.8047485	13082.87613	71.254144	8.5753261	1982-1999 –> 2000-2009	3.538177	1.7334284	22292.2916	147.794462	7	14
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3252	1.8062683	13088.35087	74.657511	8.5782333	1982-1999 –> 2000-2009	3.542267	1.7359991	22304.6868	154.758260	8	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	3252	1.8294304	13169.22243	330.747837	8.4693017	1982-1999 –> 2000-2009	3.569403	1.7399727	22394.2355	668.634472	9	18
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3252	1.8335326	13183.79031	10.284858	8.4550253	1982-1999 –> 2000-2009	3.582100	1.7485678	22431.8156	30.190118	10	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4492	1.6953373	17504.23322	479.529476	11.6298289	2000-2009 –> 2010-2019	3.376138	1.6808011	30124.3449	827.128411	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	4492	1.7206042	17635.14076	474.370380	11.7460403	2000-2009 –> 2010-2019	3.448970	1.7283658	30434.7519	804.942543	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4492	1.7816611	17950.41838	441.116733	9.6691731	2000-2009 –> 2010-2019	3.580625	1.7989637	31012.4136	792.583964	3	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4492	1.7824729	17954.51091	118.940014	9.6096669	2000-2009 –> 2010-2019	3.587222	1.8047485	31037.3870	190.194157	4	8
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4492	1.7837363	17960.87655	112.357491	9.5923622	2000-2009 –> 2010-2019	3.590005	1.8062683	31049.2274	187.015002	7	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4492	1.7830862	17955.60146	434.929710	9.7288478	2000-2009 –> 2010-2019	3.612517	1.8294304	31124.8239	765.677546	5	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4492	1.7836925	17958.65572	22.276608	9.6711582	2000-2009 –> 2010-2019	3.617225	1.8335326	31142.4460	32.561466	6	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4492	1.7849991	17965.23435	23.428546	9.6542712	2000-2009 –> 2010-2019	3.620542	1.8355434	31156.1535	34.238467	8	16
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4492	1.8273848	18178.07037	116.800781	9.0853071	2000-2009 –> 2010-2019	3.670501	1.8431159	31397.7665	185.552530	12	21
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4492	1.8394913	18235.39347	20.340198	8.7538217	2000-2009 –> 2010-2019	3.699179	1.8596881	31511.3084	29.492103	14	24
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1923	1.5765421	7222.06715	310.649839	7.3153540	1982-1999 –> 2000-2009	3.169227	1.5926848	12810.0031	526.566346	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1923	1.5809782	7232.87402	105.419217	7.2925633	1982-1999 –> 2000-2009	3.175578	1.5945998	12824.3644	204.734971	4	6
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1923	1.5809758	7232.86806	95.948561	7.2993574	1982-1999 –> 2000-2009	3.176208	1.5952318	12825.5307	188.595924	3	6
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1923	1.5809538	7232.81457	74.399376	7.3093947	1982-1999 –> 2000-2009	3.181824	1.6008704	12835.9143	154.940487	2	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1923	1.5941107	7264.68893	889.128401	7.4232472	1982-1999 –> 2000-2009	3.191152	1.5970413	12860.7049	1182.496919	6	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1923	1.6014935	7280.45977	310.634096	7.3304044	1982-1999 –> 2000-2009	3.203035	1.6015416	12882.7993	515.674226	7	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1923	1.6074132	7294.64977	105.357470	7.2966082	1982-1999 –> 2000-2009	3.211294	1.6038812	12901.3073	203.912712	9	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1923	1.6074332	7294.69775	95.915133	7.3059115	1982-1999 –> 2000-2009	3.212079	1.6046456	12902.7647	187.897265	10	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1923	1.5809788	7230.87538	13.920065	7.2946185	1982-1999 –> 2000-2009	3.213389	1.6324098	12889.6851	38.671934	5	15
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1923	1.6069542	7293.55150	73.580672	7.3742606	1982-1999 –> 2000-2009	3.231948	1.6249942	12938.8932	147.989442	8	17
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2585	1.4943701	9426.72600	140.501640	7.2958336	2000-2009 –> 2010-2019	3.075324	1.5809538	16659.5406	214.901016	2	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2585	1.5069760	9470.15494	319.680245	7.6770719	2000-2009 –> 2010-2019	3.083518	1.5765421	16692.2221	630.330084	3	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2585	1.5083692	9474.93259	186.741183	7.6458103	2000-2009 –> 2010-2019	3.089348	1.5809782	16707.8066	292.160399	4	8
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2585	1.5085388	9475.51379	181.381888	7.6543501	2000-2009 –> 2010-2019	3.089515	1.5809758	16708.3818	277.330448	5	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2585	1.5104527	9480.06898	17.858572	7.8681127	2000-2009 –> 2010-2019	3.091432	1.5809788	16710.9444	31.778637	6	11
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2585	1.4533549	9282.84383	354.150305	7.7550332	2000-2009 –> 2010-2019	3.122588	1.6692329	16724.6340	711.329227	1	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	2585	1.6404823	9907.01205	316.223498	9.2663112	2000-2009 –> 2010-2019	3.241976	1.6014935	17187.4718	626.857594	16	22
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2585	1.6406722	9907.61028	139.445012	9.2699065	2000-2009 –> 2010-2019	3.247626	1.6069542	17201.1618	213.025684	17	24
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2585	1.6426443	9913.82100	184.644568	9.2339508	2000-2009 –> 2010-2019	3.250057	1.6074132	17208.4708	290.002039	18	26
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2585	1.6432915	9915.85762	179.575575	9.2522591	2000-2009 –> 2010-2019	3.250725	1.6074332	17210.5554	275.490707	19	28
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4892	1.4378133	17449.69392	494.828544	6.7649126	1982-1999 –> 2000-2009	3.033026	1.5952124	31253.7269	736.192666	6	7
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4892	1.3747044	17010.54259	125.512185	7.1066289	1982-1999 –> 2000-2009	3.049228	1.6745239	31169.3683	244.325505	1	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4892	1.3763250	17022.06950	51.510906	7.1230704	1982-1999 –> 2000-2009	3.051387	1.6750623	31183.2457	103.535480	2	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4892	1.3765945	17023.98495	50.277582	7.1285823	1982-1999 –> 2000-2009	3.051969	1.6753749	31186.5258	96.887736	3	14
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4892	1.4406168	17468.75265	461.933389	6.1599798	1982-1999 –> 2000-2009	3.054908	1.6142910	31359.7177	753.139968	7	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4892	1.4555908	17569.92419	434.386608	6.2825467	1982-1999 –> 2000-2009	3.068868	1.6132775	31456.2971	711.185896	8	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	4892	1.4616275	17608.41702	431.870593	6.4481654	1982-1999 –> 2000-2009	3.076054	1.6144263	31497.9950	671.147415	9	13
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4892	1.3870278	17097.85905	45.203094	7.3476026	1982-1999 –> 2000-2009	3.118042	1.7310139	31499.2854	95.426996	4	18
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4892	1.5009035	17869.85683	493.960868	6.7231906	1982-1999 –> 2000-2009	3.121071	1.6201673	31787.3907	695.417685	10	15
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4892	1.5043926	17892.57454	628.013046	6.7315362	1982-1999 –> 2000-2009	3.125519	1.6211269	31814.4379	926.158613	11	17
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5563	1.1807401	17649.59995	238.139697	6.7311333	2000-2009 –> 2010-2019	2.555445	1.3747044	34660.1425	363.651882	2	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5563	1.1824218	17665.43519	76.500682	6.7113102	2000-2009 –> 2010-2019	2.558747	1.3763250	34687.5047	128.011588	3	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5563	1.1827914	17668.91236	74.107658	6.7160966	2000-2009 –> 2010-2019	2.559386	1.3765945	34692.8973	124.385240	4	7
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5563	1.1787826	17631.13921	82.199279	6.7144605	2000-2009 –> 2010-2019	2.565810	1.3870278	34728.9983	127.402373	1	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5563	1.2012704	17839.39221	10.304441	7.2245697	2000-2009 –> 2010-2019	2.591511	1.3902402	34957.8851	17.120760	5	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	5563	1.2811143	18557.35647	566.819079	5.0043011	2000-2009 –> 2010-2019	2.718927	1.4378133	36007.0504	1061.647624	7	13
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5563	1.2299741	18104.11587	304.445964	5.9977508	2000-2009 –> 2010-2019	2.751715	1.5217411	36108.8729	453.114680	6	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5563	1.3291699	18967.06449	633.362574	5.5525414	2000-2009 –> 2010-2019	2.769787	1.4406168	36435.8171	1095.295963	10	17
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5563	1.3422587	19076.09001	590.611056	4.8807308	2000-2009 –> 2010-2019	2.797849	1.4555908	36646.0142	1024.997664	12	20
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	5563	1.3422832	19074.29318	545.027786	4.8547934	2000-2009 –> 2010-2019	2.803911	1.4616275	36682.7102	976.898379	13	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	11160	0.6540514	22208.32180	255.004958	3.5000845	1982-1999 –> 2000-2009	1.811075	1.1570237	47496.8016	357.640176	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	11160	0.6595699	22395.85394	226.476491	3.2261903	1982-1999 –> 2000-2009	1.822619	1.1630490	47768.2278	315.250878	2	7
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	11160	0.7383075	24912.93529	284.583788	4.2264813	1982-1999 –> 2000-2009	1.927930	1.1896230	50650.2063	376.821804	3	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	11160	0.7686481	25811.82391	282.244094	3.0826150	1982-1999 –> 2000-2009	1.936027	1.1673788	51244.2173	375.720715	5	13
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	11160	0.7462168	25148.76986	225.162343	4.7785347	1982-1999 –> 2000-2009	1.937284	1.1910674	50903.6398	311.422629	4	14
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	11160	0.8370488	27714.58474	288.973993	5.0418195	1982-1999 –> 2000-2009	1.999733	1.1626843	53081.8936	384.728663	9	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	11160	0.8382891	27747.63299	317.555333	5.0565562	1982-1999 –> 2000-2009	2.000263	1.1619737	53105.0674	429.906977	10	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	11160	0.8487219	28023.69906	283.335372	5.1672816	1982-1999 –> 2000-2009	2.015015	1.1662927	53441.0574	377.641916	11	18
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	11160	0.8497187	28047.89903	282.532033	5.1999929	1982-1999 –> 2000-2009	2.045456	1.1957376	53865.9777	370.271142	13	24
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	11160	0.8891120	29059.39166	200.993916	5.2934283	1982-1999 –> 2000-2009	2.054574	1.1654622	54463.2444	257.012310	16	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	15034	0.6960124	31782.36705	228.755914	4.8512472	2000-2009 –> 2010-2019	1.350064	0.6540514	53990.6889	483.760872	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	15034	0.7025718	32064.40889	196.647758	4.5273781	2000-2009 –> 2010-2019	1.362142	0.6595699	54460.2628	423.124249	3	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	15034	0.7023758	32056.01772	201.778749	4.3956975	2000-2009 –> 2010-2019	1.440683	0.7383075	56968.9530	486.362536	2	5
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	15034	0.7069117	32247.57359	183.286919	4.2456744	2000-2009 –> 2010-2019	1.453129	0.7462168	57396.3434	408.449262	4	8
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	15034	0.7729991	34936.81331	224.738556	3.6258596	2000-2009 –> 2010-2019	1.541647	0.7686481	60748.6372	506.982650	8	13
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	15034	0.7706308	34844.55208	146.340993	5.8249132	2000-2009 –> 2010-2019	1.601565	0.8309346	62395.5039	238.523183	5	11
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	15034	0.7708816	34854.33587	21.009423	5.8166198	2000-2009 –> 2010-2019	1.602078	0.8311965	62412.3192	39.359924	6	13
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	15034	0.7709417	34856.67747	20.984490	5.8156683	2000-2009 –> 2010-2019	1.602176	0.8312343	62415.6757	39.328277	7	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	15034	0.7999285	35966.47713	233.485699	6.2893588	2000-2009 –> 2010-2019	1.636977	0.8370488	63681.0619	522.459692	11	20
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	15034	0.7999385	35966.85378	213.327202	6.2376787	2000-2009 –> 2010-2019	1.638228	0.8382891	63714.4868	530.882535	12	22
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4799	0.9261788	12896.92076	156.274488	3.3889251	1982-1999 –> 2000-2009	1.750830	0.8246511	24483.2641	209.553114	3	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4799	0.9272463	12907.97710	238.203252	3.3808251	1982-1999 –> 2000-2009	1.751769	0.8245230	24492.8543	301.058943	6	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4799	0.9288875	12924.95008	250.535582	3.3952187	1982-1999 –> 2000-2009	1.754239	0.8253519	24519.3104	422.602293	8	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4799	0.9311333	12948.12789	403.754731	3.4074325	1982-1999 –> 2000-2009	1.760634	0.8295004	24589.8082	526.520949	10	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4799	0.9579238	13220.38197	310.598955	3.8128970	1982-1999 –> 2000-2009	1.766558	0.8086343	24621.6121	685.171760	15	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4799	0.9663960	13304.89688	352.140620	3.4010714	1982-1999 –> 2000-2009	1.775291	0.8088953	24709.1733	847.055319	19	22
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4799	0.9876219	13513.42535	295.580223	3.4171569	1982-1999 –> 2000-2009	1.795469	0.8078475	24905.4682	673.528559	27	28
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4799	0.9474457	13114.81738	163.070496	3.5397219	1982-1999 –> 2000-2009	1.802097	0.8546509	25038.4062	384.414217	12	28
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	4799	0.9945950	13578.95402	267.936492	3.1527891	1982-1999 –> 2000-2009	1.804309	0.8097137	24990.7741	639.515397	32	36
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate	4799	0.9704962	13343.53358	39.247566	3.7141108	1982-1999 –> 2000-2009	1.805397	0.8349003	25044.4543	76.661593	20	29
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6269	1.2216671	20314.96454	187.558248	4.7174112	2000-2009 –> 2010-2019	2.147846	0.9261788	33211.8853	343.832736	3	6
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6269	1.2214821	20313.06622	278.713634	4.7360881	2000-2009 –> 2010-2019	2.148728	0.9272463	33221.0433	516.916886	2	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	6269	1.2239091	20337.95345	366.858895	4.7313481	2000-2009 –> 2010-2019	2.152797	0.9288875	33262.9035	617.394477	6	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6269	1.2297350	20397.49303	487.268309	4.6458440	2000-2009 –> 2010-2019	2.160868	0.9311333	33345.6209	891.023041	7	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6269	1.2536219	20638.70141	665.247992	4.2648363	2000-2009 –> 2010-2019	2.177632	0.9240100	33513.1211	1017.438996	9	10
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6269	1.2539037	20641.51967	662.958974	4.2643074	2000-2009 –> 2010-2019	2.179098	0.9251945	33528.2347	1029.953229	11	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6269	1.2536515	20636.99822	59.689892	4.2638705	2000-2009 –> 2010-2019	2.180375	0.9267238	33537.5653	98.174149	10	14
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	6269	1.2539374	20639.85633	61.294620	4.2632710	2000-2009 –> 2010-2019	2.181786	0.9278486	33552.0654	106.216925	12	19
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6269	1.2554832	20657.30310	433.548035	4.2690663	2000-2009 –> 2010-2019	2.182532	0.9270486	33563.2332	685.721057	13	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6269	1.2555595	20656.06602	127.538307	4.2675792	2000-2009 –> 2010-2019	2.184993	0.9294333	33584.6547	256.253626	14	23

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	5.960803	947.9087
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	4.602717	738.2887
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	7.936235	3526.9197
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	8.189447	3425.3628
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	5.739074	4533.6842
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.258222	4643.8165
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	4.108796	7199.7501
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	5.128291	7328.1169
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	3.867692	8841.3941
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	4.562631	9618.2085
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.484112	18292.7395
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	6.864026	20677.3785
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	4.243626	30601.1333
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	4.668794	34168.6870
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	2.206916	7819.5900
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	2.565278	9464.8324
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	3.971145	11004.4164
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	4.648215	12540.2726
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.237602	16956.6073
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	7.346852	17473.5475
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	1.766408	4396.5480
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	2.364120	5803.3465
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	1.999619	6806.2402
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.416805	9005.4972
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.750558	10808.0245
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.921300	13813.4553
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.300807	11544.3199
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.418409	15684.9746
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	11.261198	24059.4350
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	11.689789	38849.8875
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	7.999680	25400.6121
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	8.142870	29987.0184
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	7.526697	22404.4479
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	8.182134	27396.2121
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	6.921026	30634.4573
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	7.378441	36197.2191
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	5.711581	35281.8016
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	5.951777	43548.1516
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	5.630147	46666.9769
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.297738	57119.8416
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	5.378008	52763.9593
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	6.271878	65666.5685
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	4.323119	18802.9341
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	4.817981	22926.8589
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.702448	20132.0338
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	4.001847	26055.0437
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.465591	22054.4555
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.580292	30999.0623
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	3.196573	12867.1967
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	3.154211	16901.1189
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	3.075007	31420.7990
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.667309	35560.7893
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.954998	51602.0333
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.522869	59818.3933
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	1.776659	24739.5125
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.169665	33432.0327

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
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
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	5	6	7	10	7	8
(26,26.5]	8	6	8	7	8	6	7
(26.5,26.75]	7	6	7	6	7	8	8
(26.75,27]	8	4	7	7	3	10	8
(27,27.25]	7	6	7	6	6	10	7
(27.25,27.5]	7	10	6	5	5	6	9
(27.5,27.75]	5	2	5	8	10	6	9
(27.75,27.85]	6	3	5	5	10	8	8
(27.85,27.95]	6	2	6	6	10	5	8
(27.95,28.05]	4	3	4	8	9	6	10
(28.05,28.1]	6	3	5	6	9	6	10
(28.1,28.15]	5	2	6	7	8	6	10
(28.15,28.2]	9	10	3	6	4	4	7
(28.2, Inf]	9	10	3	4	10	3	5
total	93.00	72.00	78.00	88.00	109.00	91.00	114.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	6	6	6	8	10	8	6
(26,26.5]	9	7	7	7	7	6	7
(26.5,26.75]	6	7	7	7	6	6	10
(26.75,27]	8	5	8	6	5	10	6
(27,27.25]	9	7	6	4	6	10	6
(27.25,27.5]	6	8	4	7	9	8	7
(27.5,27.75]	7	5	8	5	10	7	6
(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]	6	2	6	6	8	5	10
(28.1,28.15]	5	2	6	7	8	6	10
(28.15,28.2]	6	10	2	6	5	5	9
(28.2, Inf]	9	10	3	4	10	3	5
total	93.00	79.00	75.00	86.00	114.00	98.00	105.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	4	8	7	10	4	7
(26,26.5]	8	6	7	7	8	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	10	5	5	8	7	6
(27.85,27.95]	9	8	5	3	10	5	7
(27.95,28.05]	8	5	5	5	10	4	10
(28.05,28.1]	5	3	5	7	5	10	10
(28.1,28.2]	4	7	8	5	8	10	7
(28.2,28.3]	4	10	8	5	5	10	5
(28.3, Inf]	5	10	8	5	10	5	5
total	92.00	105.00	90.00	84.00	103.00	92.00	103.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	5	7	7	10	5	7
(26,26.5]	8	6	8	7	6	8	7
(26.5,26.75]	7	5	7	7	4	10	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	6	5	5	10	5	9
(27.95,28.05]	6	3	4	6	10	6	10
(28.05,28.1]	5	3	4	7	6	10	10
(28.1,28.2]	4	6	6	5	10	10	7
(28.2,28.3]	5	7	8	5	8	10	6
(28.3, Inf]	7	10	9	7	4	3	7
total	89.00	92.00	90.00	89.00	99.00	99.00	112.00

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
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
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