eMLR - model fitting

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Last updated: 2021-03-22

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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, oxygen, aou, 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)[1]
        
        # 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)
          
          # 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,
              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_n_predictors,
  i_resid_max
)

5 Prepare coeffcients

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

5.1 Formatting

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

# 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, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    aic_sum = aic + lag(aic)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na()

# 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, model)
} else {
  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, model)
}

5.3 RMSE tables

5.3.1 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	resid_max	eras	rmse_sum	aic_sum
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	123	1.0373298	370.07477	4.0246479	1982-1999 –> 2000-2009	2.3736782	1092.9686
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	123	1.0372836	372.06381	4.0109558	1982-1999 –> 2000-2009	2.3729762	1096.7534
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate	123	1.0373298	370.07477	4.0246479	1982-1999 –> 2000-2009	2.3736782	1092.9686
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	123	1.0373298	370.07477	4.0246479	1982-1999 –> 2000-2009	2.3736782	1092.9686
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	123	1.0373298	370.07477	4.0246479	1982-1999 –> 2000-2009	2.3736782	1092.9686
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	123	1.0372836	372.06381	4.0109558	1982-1999 –> 2000-2009	2.3729762	1096.7534
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	123	1.0372836	372.06381	4.0109558	1982-1999 –> 2000-2009	2.3729762	1096.7534
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	123	1.0306965	370.49664	3.6254661	1982-1999 –> 2000-2009	2.3668840	1095.3404
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	123	1.0306965	370.49664	3.6254661	1982-1999 –> 2000-2009	2.3668840	1095.3404
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	123	1.0306965	370.49664	3.6254661	1982-1999 –> 2000-2009	2.3668840	1095.3404
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	107	1.1371667	345.16037	3.1990511	2000-2009 –> 2010-2019	2.1744503	717.2242
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	107	1.1371667	345.16037	3.1990511	2000-2009 –> 2010-2019	2.1744503	717.2242
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	107	1.1371667	345.16037	3.1990511	2000-2009 –> 2010-2019	2.1744503	717.2242
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	107	1.2078499	358.06500	3.5419266	2000-2009 –> 2010-2019	2.2385464	728.5616
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	107	1.1426679	346.19312	3.3759785	2000-2009 –> 2010-2019	2.1860767	719.7053
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	107	1.1451135	346.65066	3.4383340	2000-2009 –> 2010-2019	2.1898759	720.4817
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	107	1.2078499	358.06500	3.5419266	2000-2009 –> 2010-2019	2.2385464	728.5616
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	107	1.1463671	346.88480	3.4643264	2000-2009 –> 2010-2019	2.1930429	721.1660
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	107	1.1463671	346.88480	3.4643264	2000-2009 –> 2010-2019	2.1930429	721.1660
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	107	1.1463671	346.88480	3.4643264	2000-2009 –> 2010-2019	2.1930429	721.1660
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	815	3.5320379	4383.72607	13.5273360	1982-1999 –> 2000-2009	6.9872164	12437.9755
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	815	3.5320379	4383.72607	13.5273360	1982-1999 –> 2000-2009	6.9872164	12437.9755
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	815	3.5320379	4383.72607	13.5273360	1982-1999 –> 2000-2009	6.9872164	12437.9755
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	815	3.5850337	4408.00143	14.1797645	1982-1999 –> 2000-2009	7.1263407	12536.7071
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	815	3.5920483	4411.18763	14.2822538	1982-1999 –> 2000-2009	7.1439351	12548.9142
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + aou + silicate	815	4.0012380	4587.03404	18.5312699	1982-1999 –> 2000-2009	7.9796159	13067.6677
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	815	3.5932347	4411.72591	14.3159075	1982-1999 –> 2000-2009	7.1493161	12553.0215
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	815	3.5932347	4411.72591	14.3159075	1982-1999 –> 2000-2009	7.1493161	12553.0215
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	815	3.5932347	4411.72591	14.3159075	1982-1999 –> 2000-2009	7.1493161	12553.0215
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	815	3.6458592	4433.42487	16.2967808	1982-1999 –> 2000-2009	7.4760759	12797.2892
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	787	3.6014952	4264.25272	11.3693942	2000-2009 –> 2010-2019	7.1335331	8647.9788
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	787	3.6014952	4264.25272	11.3693942	2000-2009 –> 2010-2019	7.1335331	8647.9788
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	787	3.6014952	4264.25272	11.3693942	2000-2009 –> 2010-2019	7.1335331	8647.9788
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	787	3.6403207	4281.13023	10.6704463	2000-2009 –> 2010-2019	7.2253544	8689.1317
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	787	3.6451910	4283.23466	10.6822226	2000-2009 –> 2010-2019	7.2372393	8694.4223
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	787	3.6454426	4283.34327	10.6854424	2000-2009 –> 2010-2019	7.2386773	8695.0692
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	787	3.6454426	4283.34327	10.6854424	2000-2009 –> 2010-2019	7.2386773	8695.0692
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate	787	3.8793674	4379.23713	11.5513560	2000-2009 –> 2010-2019	7.8432635	8948.9876
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	787	3.6454426	4283.34327	10.6854424	2000-2009 –> 2010-2019	7.2386773	8695.0692
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	787	3.6493284	4283.02018	10.7516146	2000-2009 –> 2010-2019	7.2951876	8716.4450
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1030	3.1434743	5296.39042	10.3581653	1982-1999 –> 2000-2009	6.1946657	14622.0357
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1030	3.1434743	5296.39042	10.3581653	1982-1999 –> 2000-2009	6.1946657	14622.0357
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1030	3.1434743	5296.39042	10.3581653	1982-1999 –> 2000-2009	6.1946657	14622.0357
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1030	3.1585861	5306.26980	10.5142706	1982-1999 –> 2000-2009	6.2273760	14653.0449
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1030	3.1751598	5317.05076	10.7028918	1982-1999 –> 2000-2009	6.2654689	14689.4991
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1030	3.1796343	5319.95175	10.7482671	1982-1999 –> 2000-2009	6.2766172	14700.3257
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1030	3.1796343	5319.95175	10.7482671	1982-1999 –> 2000-2009	6.2766172	14700.3257
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1030	3.0858055	5258.24758	9.3381923	1982-1999 –> 2000-2009	6.0681722	14500.0707
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1030	3.0858055	5258.24758	9.3381923	1982-1999 –> 2000-2009	6.0681722	14500.0707
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1030	3.0858055	5258.24758	9.3381923	1982-1999 –> 2000-2009	6.0681722	14500.0707
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	976	3.5053683	5232.15303	11.4141756	2000-2009 –> 2010-2019	6.6488427	10528.5435
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	976	3.5053683	5232.15303	11.4141756	2000-2009 –> 2010-2019	6.6488427	10528.5435
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	976	3.5053683	5232.15303	11.4141756	2000-2009 –> 2010-2019	6.6488427	10528.5435
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	976	3.5116420	5235.64347	11.3969463	2000-2009 –> 2010-2019	6.6702281	10541.9133
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	976	3.5264869	5243.87785	11.4502921	2000-2009 –> 2010-2019	6.7016467	10560.9286
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	976	3.5302430	5245.95582	11.4589008	2000-2009 –> 2010-2019	6.7098773	10565.9076
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	976	3.5302430	5245.95582	11.4589008	2000-2009 –> 2010-2019	6.7098773	10565.9076
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	976	3.5013623	5229.92098	10.8565185	2000-2009 –> 2010-2019	6.5871678	10488.1686
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	976	3.5013623	5229.92098	10.8565185	2000-2009 –> 2010-2019	6.5871678	10488.1686
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	976	3.5013623	5229.92098	10.8565185	2000-2009 –> 2010-2019	6.5871678	10488.1686
Atlantic	(26.75,27]	4	cstar_tref ~ oxygen + aou + silicate + phosphate	1620	2.1299666	7059.14524	14.9056340	1982-1999 –> 2000-2009	3.8345830	17718.8730
Atlantic	(26.75,27]	5	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	1620	2.1299666	7059.14524	14.9056340	1982-1999 –> 2000-2009	3.8345830	17718.8730
Atlantic	(26.75,27]	4	cstar_tref ~ oxygen + aou + silicate + phosphate_star	1620	2.1299666	7059.14524	14.9056340	1982-1999 –> 2000-2009	3.8345830	17718.8730
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1620	1.9837680	6830.75452	13.8624424	1982-1999 –> 2000-2009	3.6371854	17326.1581
Atlantic	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1620	1.9837680	6830.75452	13.8624424	1982-1999 –> 2000-2009	3.6371854	17326.1581
Atlantic	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1620	1.9837680	6830.75452	13.8624424	1982-1999 –> 2000-2009	3.6371854	17326.1581
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1620	2.0480431	6934.06741	13.8717407	1982-1999 –> 2000-2009	3.7631707	17629.3230
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1620	2.1293496	7060.20650	15.0247517	1982-1999 –> 2000-2009	3.6214756	16995.7988
Atlantic	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1620	2.1293496	7060.20650	15.0247517	1982-1999 –> 2000-2009	3.6214756	16995.7988
Atlantic	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1620	2.1293496	7060.20650	15.0247517	1982-1999 –> 2000-2009	3.6214756	16995.7988
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	1635	2.4410726	7570.19974	24.6840365	2000-2009 –> 2010-2019	4.5518118	14599.9644
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1635	2.4271146	7553.44833	25.3806732	2000-2009 –> 2010-2019	4.4108826	14384.2029
Atlantic	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1635	2.4271146	7553.44833	25.3806732	2000-2009 –> 2010-2019	4.4108826	14384.2029
Atlantic	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1635	2.4271146	7553.44833	25.3806732	2000-2009 –> 2010-2019	4.4108826	14384.2029
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1635	2.4404694	7571.39162	24.8589985	2000-2009 –> 2010-2019	4.4885125	14505.4590
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1635	2.4768331	7619.75614	25.0789119	2000-2009 –> 2010-2019	4.6147522	14692.9758
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1635	2.4885373	7635.17197	25.1117025	2000-2009 –> 2010-2019	4.6603728	14759.3883
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1635	2.1699807	7187.25780	21.9087669	2000-2009 –> 2010-2019	4.2993303	14247.4643
Atlantic	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1635	2.1699807	7187.25780	21.9087669	2000-2009 –> 2010-2019	4.2993303	14247.4643
Atlantic	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1635	2.1699807	7187.25780	21.9087669	2000-2009 –> 2010-2019	4.2993303	14247.4643
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1310	1.9895142	5531.89205	9.1174848	1982-1999 –> 2000-2009	3.7091375	14341.1343
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1310	1.9729970	5512.04966	9.4699382	1982-1999 –> 2000-2009	3.5841308	14030.9524
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1310	1.9729970	5512.04966	9.4699382	1982-1999 –> 2000-2009	3.5841308	14030.9524
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1310	1.9729970	5512.04966	9.4699382	1982-1999 –> 2000-2009	3.5841308	14030.9524
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1310	2.2609226	5868.94410	13.8576895	1982-1999 –> 2000-2009	4.1128956	15012.8069
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1310	1.9801555	5521.53839	9.1630311	1982-1999 –> 2000-2009	3.5799241	14008.6842
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1310	2.0014523	5549.56640	8.4302172	1982-1999 –> 2000-2009	3.6307686	14118.8127
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1310	2.0060601	5555.59125	8.2837623	1982-1999 –> 2000-2009	3.6488182	14161.6951
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1310	2.0060601	5555.59125	8.2837623	1982-1999 –> 2000-2009	3.6488182	14161.6951
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1310	2.0060601	5555.59125	8.2837623	1982-1999 –> 2000-2009	3.6488182	14161.6951
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1389	2.3218868	6293.94328	13.6907831	2000-2009 –> 2010-2019	4.3114010	11825.8353
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1389	2.3217985	6295.83758	13.7217883	2000-2009 –> 2010-2019	4.2947955	11807.8872
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1389	2.3962856	6381.56059	14.8354885	2000-2009 –> 2010-2019	4.5794880	12156.8567
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1389	2.3217985	6295.83758	13.7217883	2000-2009 –> 2010-2019	4.2947955	11807.8872
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1389	2.3217985	6295.83758	13.7217883	2000-2009 –> 2010-2019	4.2947955	11807.8872
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1389	2.3197153	6293.34392	13.8485309	2000-2009 –> 2010-2019	4.2998707	11814.8823
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1389	2.3403077	6317.89582	13.8502390	2000-2009 –> 2010-2019	4.3417600	11867.4622
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1389	2.3443341	6322.67111	13.8448010	2000-2009 –> 2010-2019	4.3503941	11878.2624
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1389	2.3443341	6322.67111	13.8448010	2000-2009 –> 2010-2019	4.3503941	11878.2624
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1389	2.3443341	6322.67111	13.8448010	2000-2009 –> 2010-2019	4.3503941	11878.2624
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1275	2.7623690	6221.31931	19.9367916	1982-1999 –> 2000-2009	5.0613721	16360.1800
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1275	2.7623690	6223.31931	19.9365489	1982-1999 –> 2000-2009	5.0582395	16358.0470
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate	1275	2.7623690	6221.31931	19.9367916	1982-1999 –> 2000-2009	5.0613721	16360.1800
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	1275	2.7623690	6221.31931	19.9367916	1982-1999 –> 2000-2009	5.0613721	16360.1800
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1275	2.7623690	6221.31931	19.9367916	1982-1999 –> 2000-2009	5.0613721	16360.1800
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1275	2.7623690	6223.31931	19.9365489	1982-1999 –> 2000-2009	5.0582395	16358.0470
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1275	2.7623690	6223.31931	19.9365489	1982-1999 –> 2000-2009	5.0582395	16358.0470
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1275	2.7573681	6218.69873	19.5466022	1982-1999 –> 2000-2009	5.0258500	16299.4448
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1275	2.7573681	6218.69873	19.5466022	1982-1999 –> 2000-2009	5.0258500	16299.4448
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1275	2.7573681	6218.69873	19.5466022	1982-1999 –> 2000-2009	5.0258500	16299.4448
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1250	3.4766833	6674.54324	23.4252001	2000-2009 –> 2010-2019	6.2390523	12895.8625
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	1250	3.4440255	6650.94881	22.7026383	2000-2009 –> 2010-2019	6.2334540	12897.1257
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1250	3.4435870	6652.63049	22.5805302	2000-2009 –> 2010-2019	6.2059560	12875.9498
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate	1250	3.4766833	6674.54324	23.4252001	2000-2009 –> 2010-2019	6.2390523	12895.8625
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1250	3.4435870	6652.63049	22.5805302	2000-2009 –> 2010-2019	6.2059560	12875.9498
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1250	3.4435870	6652.63049	22.5805302	2000-2009 –> 2010-2019	6.2059560	12875.9498
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1250	3.4226454	6637.38074	21.5867939	2000-2009 –> 2010-2019	6.1800136	12856.0795
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1250	3.4428454	6652.09204	22.8308694	2000-2009 –> 2010-2019	6.2125165	12882.1431
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1250	3.4226454	6637.38074	21.5867939	2000-2009 –> 2010-2019	6.1800136	12856.0795
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1250	3.4226454	6637.38074	21.5867939	2000-2009 –> 2010-2019	6.1800136	12856.0795
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1631	2.3227246	7391.59835	15.6824095	1982-1999 –> 2000-2009	4.4391052	19510.9797
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1631	2.3765963	7466.39086	16.5634871	1982-1999 –> 2000-2009	4.5205645	19658.0650
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1631	2.3227246	7391.59835	15.6824095	1982-1999 –> 2000-2009	4.4391052	19510.9797
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1631	2.3227246	7391.59835	15.6824095	1982-1999 –> 2000-2009	4.4391052	19510.9797
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate	1631	2.3777184	7465.93068	16.3993879	1982-1999 –> 2000-2009	4.5330340	19685.0708
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + phosphate + phosphate_star	1631	2.3777184	7465.93068	16.3993879	1982-1999 –> 2000-2009	4.5330340	19685.0708
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1631	2.3773179	7467.38121	16.5970764	1982-1999 –> 2000-2009	4.5195626	19654.5661
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1631	2.3773179	7467.38121	16.5970764	1982-1999 –> 2000-2009	4.5195626	19654.5661
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1631	2.3777184	7465.93068	16.3993879	1982-1999 –> 2000-2009	4.5330340	19685.0708
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1631	2.3773179	7467.38121	16.5970764	1982-1999 –> 2000-2009	4.5195626	19654.5661
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1563	2.4783429	7286.72872	17.1760384	2000-2009 –> 2010-2019	4.8010676	14678.3271
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1563	2.5607097	7386.93108	17.8394753	2000-2009 –> 2010-2019	4.9377168	14851.8858
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1563	2.5380805	7361.18359	19.3771331	2000-2009 –> 2010-2019	4.9146768	14827.5744
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1563	2.4783429	7286.72872	17.1760384	2000-2009 –> 2010-2019	4.8010676	14678.3271
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1563	2.4783429	7286.72872	17.1760384	2000-2009 –> 2010-2019	4.8010676	14678.3271
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	1563	2.5631854	7389.95182	17.8942192	2000-2009 –> 2010-2019	4.9409038	14855.8825
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1563	2.5406227	7364.31310	19.4291039	2000-2009 –> 2010-2019	4.9179407	14831.6943
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1563	2.5406227	7364.31310	19.4291039	2000-2009 –> 2010-2019	4.9179407	14831.6943
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1563	2.5631854	7389.95182	17.8942192	2000-2009 –> 2010-2019	4.9409038	14855.8825
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1563	2.5406227	7364.31310	19.4291039	2000-2009 –> 2010-2019	4.9179407	14831.6943
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	548	1.6268177	2102.49849	13.5249128	1982-1999 –> 2000-2009	3.2966110	5817.5176
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	548	1.6268177	2102.49849	13.5249128	1982-1999 –> 2000-2009	3.2966110	5817.5176
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	548	1.6268177	2102.49849	13.5249128	1982-1999 –> 2000-2009	3.2966110	5817.5176
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	548	1.5567313	2054.23339	11.6102624	1982-1999 –> 2000-2009	3.2353366	5779.3373
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	548	1.6383866	2110.26499	13.4595536	1982-1999 –> 2000-2009	3.3158143	5834.0241
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	548	1.5567313	2054.23339	11.6102624	1982-1999 –> 2000-2009	3.2353366	5779.3373
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	548	1.5567313	2054.23339	11.6102624	1982-1999 –> 2000-2009	3.2353366	5779.3373
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	548	1.6176283	2096.28995	12.8816205	1982-1999 –> 2000-2009	3.3011216	5826.9650
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	548	1.6176283	2096.28995	12.8816205	1982-1999 –> 2000-2009	3.3011216	5826.9650
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	548	1.6176283	2096.28995	12.8816205	1982-1999 –> 2000-2009	3.3011216	5826.9650
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	538	1.6741054	2093.21799	11.9174318	2000-2009 –> 2010-2019	3.3039949	4195.7840
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	538	1.6419754	2074.36632	14.0267093	2000-2009 –> 2010-2019	3.2687932	4176.8648
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + phosphate	538	1.6741054	2093.21799	11.9174318	2000-2009 –> 2010-2019	3.3039949	4195.7840
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	538	1.6741054	2093.21799	11.9174318	2000-2009 –> 2010-2019	3.3039949	4195.7840
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	538	1.6419754	2074.36632	14.0267093	2000-2009 –> 2010-2019	3.2687932	4176.8648
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	538	1.6419754	2074.36632	14.0267093	2000-2009 –> 2010-2019	3.2687932	4176.8648
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	538	1.6538498	2082.11966	10.7575457	2000-2009 –> 2010-2019	3.2105810	4136.3531
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	538	1.6484113	2078.57557	14.2646978	2000-2009 –> 2010-2019	3.2867980	4188.8406
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	538	1.6538498	2082.11966	10.7575457	2000-2009 –> 2010-2019	3.2105810	4136.3531
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	538	1.6538498	2082.11966	10.7575457	2000-2009 –> 2010-2019	3.2105810	4136.3531
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	508	2.5951281	2422.53560	18.4224106	1982-1999 –> 2000-2009	5.5537328	7251.5704
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + silicate + phosphate	508	2.5951281	2422.53560	18.4224106	1982-1999 –> 2000-2009	5.5537328	7251.5704
Atlantic	(27.85,27.95]	5	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	508	2.5951281	2422.53560	18.4224106	1982-1999 –> 2000-2009	5.5537328	7251.5704
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + silicate + phosphate_star	508	2.5951281	2422.53560	18.4224106	1982-1999 –> 2000-2009	5.5537328	7251.5704
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	508	2.4911894	2383.00599	18.4030570	1982-1999 –> 2000-2009	5.4447613	7210.7651
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	508	2.4911894	2383.00599	18.4030570	1982-1999 –> 2000-2009	5.4447613	7210.7651
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	508	2.4911894	2383.00599	18.4030570	1982-1999 –> 2000-2009	5.4447613	7210.7651
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	508	2.4038991	2346.76709	18.8270916	1982-1999 –> 2000-2009	5.3572685	7174.3942
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	508	2.4038991	2346.76709	18.8270916	1982-1999 –> 2000-2009	5.3572685	7174.3942
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	508	2.4038991	2346.76709	18.8270916	1982-1999 –> 2000-2009	5.3572685	7174.3942
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	601	3.1147584	3083.21834	18.3655751	2000-2009 –> 2010-2019	5.7098865	5505.7539
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + silicate + phosphate	601	3.1147584	3083.21834	18.3655751	2000-2009 –> 2010-2019	5.7098865	5505.7539
Atlantic	(27.85,27.95]	5	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	601	3.1147584	3083.21834	18.3655751	2000-2009 –> 2010-2019	5.7098865	5505.7539
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + silicate + phosphate_star	601	3.1147584	3083.21834	18.3655751	2000-2009 –> 2010-2019	5.7098865	5505.7539
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	601	3.0957711	3077.86860	18.3064684	2000-2009 –> 2010-2019	5.5869605	5460.8746
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	601	3.0957711	3077.86860	18.3064684	2000-2009 –> 2010-2019	5.5869605	5460.8746
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	601	3.0957711	3077.86860	18.3064684	2000-2009 –> 2010-2019	5.5869605	5460.8746
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	601	3.0792576	3071.43973	18.1625335	2000-2009 –> 2010-2019	5.4831568	5418.2068
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	601	3.0792576	3071.43973	18.1625335	2000-2009 –> 2010-2019	5.4831568	5418.2068
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	601	3.0792576	3071.43973	18.1625335	2000-2009 –> 2010-2019	5.4831568	5418.2068
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	561	3.1979844	2910.39730	21.7220514	1982-1999 –> 2000-2009	6.9501084	8368.5409
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	561	3.1920598	2908.31675	21.4384477	1982-1999 –> 2000-2009	6.9430931	8365.8829
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	561	3.1920598	2908.31675	21.4384477	1982-1999 –> 2000-2009	6.9430931	8365.8829
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	561	3.1920598	2908.31675	21.4384477	1982-1999 –> 2000-2009	6.9430931	8365.8829
Atlantic	(27.95,28.05]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	561	3.1521128	2894.18688	17.2569229	1982-1999 –> 2000-2009	6.8999005	8350.0339
Atlantic	(27.95,28.05]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	561	3.1521128	2894.18688	17.2569229	1982-1999 –> 2000-2009	6.8999005	8350.0339
Atlantic	(27.95,28.05]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	561	3.1521128	2894.18688	17.2569229	1982-1999 –> 2000-2009	6.8999005	8350.0339
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + silicate + phosphate	561	3.2034584	2910.31619	22.8119276	1982-1999 –> 2000-2009	6.9575174	8367.4837
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + silicate + phosphate_star	561	3.2034584	2910.31619	22.8119276	1982-1999 –> 2000-2009	6.9575174	8367.4837
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	561	3.2034584	2910.31619	22.8119276	1982-1999 –> 2000-2009	6.9575174	8367.4837
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	548	2.8699909	2724.67915	14.2714482	2000-2009 –> 2010-2019	6.0679753	5635.0764
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	548	2.8664592	2723.32961	14.2171158	2000-2009 –> 2010-2019	6.0585190	5631.6464
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	548	2.8664592	2723.32961	14.2171158	2000-2009 –> 2010-2019	6.0585190	5631.6464
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	548	2.8664592	2723.32961	14.2171158	2000-2009 –> 2010-2019	6.0585190	5631.6464
Atlantic	(27.95,28.05]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	548	2.8516516	2717.65320	13.8711633	2000-2009 –> 2010-2019	6.0037644	5611.8401
Atlantic	(27.95,28.05]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	548	2.8516516	2717.65320	13.8711633	2000-2009 –> 2010-2019	6.0037644	5611.8401
Atlantic	(27.95,28.05]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	548	2.8516516	2717.65320	13.8711633	2000-2009 –> 2010-2019	6.0037644	5611.8401
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + silicate + phosphate	548	2.8748271	2724.52446	14.3183206	2000-2009 –> 2010-2019	6.0782855	5634.8406
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + silicate + phosphate_star	548	2.8748271	2724.52446	14.3183206	2000-2009 –> 2010-2019	6.0782855	5634.8406
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	548	2.8748271	2724.52446	14.3183206	2000-2009 –> 2010-2019	6.0782855	5634.8406
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	341	0.2087418	-88.74406	1.2493465	1982-1999 –> 2000-2009	0.3245420	-956.6632
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + silicate + phosphate	341	0.2087418	-88.74406	1.2493465	1982-1999 –> 2000-2009	0.3245420	-956.6632
Atlantic	(28.05,28.1]	5	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	341	0.2087418	-88.74406	1.2493465	1982-1999 –> 2000-2009	0.3245420	-956.6632
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	341	0.2012880	-111.54243	1.3589563	1982-1999 –> 2000-2009	0.3163031	-985.5845
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	341	0.2012880	-111.54243	1.3589563	1982-1999 –> 2000-2009	0.3163031	-985.5845
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	341	0.2012880	-111.54243	1.3589563	1982-1999 –> 2000-2009	0.3163031	-985.5845
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	341	0.2074614	-90.94040	1.3273753	1982-1999 –> 2000-2009	0.3237063	-952.2822
Atlantic	(28.05,28.1]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	341	0.2081839	-88.56935	1.2646455	1982-1999 –> 2000-2009	0.3237401	-957.0068
Atlantic	(28.05,28.1]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	341	0.2081839	-88.56935	1.2646455	1982-1999 –> 2000-2009	0.3237401	-957.0068
Atlantic	(28.05,28.1]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	341	0.2081839	-88.56935	1.2646455	1982-1999 –> 2000-2009	0.3237401	-957.0068
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	324	0.2306831	-18.95608	0.9145692	2000-2009 –> 2010-2019	0.4339468	-125.8372
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	324	0.2258683	-30.62419	1.3447007	2000-2009 –> 2010-2019	0.4271564	-142.1666
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate	324	0.2306831	-18.95608	0.9145692	2000-2009 –> 2010-2019	0.4339468	-125.8372
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	324	0.2306831	-18.95608	0.9145692	2000-2009 –> 2010-2019	0.4339468	-125.8372
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	324	0.2306831	-18.95608	0.9145692	2000-2009 –> 2010-2019	0.4339468	-125.8372
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	324	0.2258683	-30.62419	1.3447007	2000-2009 –> 2010-2019	0.4271564	-142.1666
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	324	0.2258683	-30.62419	1.3447007	2000-2009 –> 2010-2019	0.4271564	-142.1666
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	324	0.2178556	-54.02993	1.0425746	2000-2009 –> 2010-2019	0.4147025	-180.7880
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	324	0.2178556	-54.02993	1.0425746	2000-2009 –> 2010-2019	0.4147025	-180.7880
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	324	0.2178556	-54.02993	1.0425746	2000-2009 –> 2010-2019	0.4147025	-180.7880
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	415	0.1318290	-490.06797	1.0521829	1982-1999 –> 2000-2009	0.2667151	-1380.6979
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	415	0.1318290	-490.06797	1.0521829	1982-1999 –> 2000-2009	0.2667151	-1380.6979
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	415	0.1318290	-490.06797	1.0521829	1982-1999 –> 2000-2009	0.2667151	-1380.6979
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	415	0.1339053	-477.09740	1.0703465	1982-1999 –> 2000-2009	0.2697114	-1357.2052
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	415	0.1355202	-467.14789	1.0806553	1982-1999 –> 2000-2009	0.2723016	-1336.1775
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	415	0.1356990	-466.05366	1.0828257	1982-1999 –> 2000-2009	0.2725341	-1334.4755
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	415	0.1356990	-466.05366	1.0828257	1982-1999 –> 2000-2009	0.2725341	-1334.4755
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	415	0.1356990	-466.05366	1.0828257	1982-1999 –> 2000-2009	0.2725341	-1334.4755
Atlantic	(28.1,28.15]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	415	0.1479727	-394.18496	1.1789236	1982-1999 –> 2000-2009	0.2922290	-1180.8489
Atlantic	(28.1,28.15]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	415	0.1479727	-394.18496	1.1789236	1982-1999 –> 2000-2009	0.2922290	-1180.8489
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	414	0.1400241	-438.91811	0.8769197	2000-2009 –> 2010-2019	0.2718531	-928.9861
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	414	0.1400241	-438.91811	0.8769197	2000-2009 –> 2010-2019	0.2718531	-928.9861
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	414	0.1400241	-438.91811	0.8769197	2000-2009 –> 2010-2019	0.2718531	-928.9861
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	414	0.1418997	-427.90045	0.8706914	2000-2009 –> 2010-2019	0.2758051	-904.9979
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	414	0.1433661	-419.38808	0.8657088	2000-2009 –> 2010-2019	0.2788862	-886.5360
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	414	0.1473044	-396.94938	0.7128680	2000-2009 –> 2010-2019	0.2940126	-798.2571
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	414	0.1473044	-396.94938	0.7128680	2000-2009 –> 2010-2019	0.2940126	-798.2571
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	414	0.1435971	-418.05480	0.8655003	2000-2009 –> 2010-2019	0.2792960	-884.1085
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	414	0.1435971	-418.05480	0.8655003	2000-2009 –> 2010-2019	0.2792960	-884.1085
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	414	0.1435971	-418.05480	0.8655003	2000-2009 –> 2010-2019	0.2792960	-884.1085
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	894	0.2935960	359.77772	0.9309789	1982-1999 –> 2000-2009	0.6741015	1942.7803
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	894	0.2935960	359.77772	0.9309789	1982-1999 –> 2000-2009	0.6741015	1942.7803
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	894	0.2935960	359.77772	0.9309789	1982-1999 –> 2000-2009	0.6741015	1942.7803
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	894	0.2939911	362.18200	0.9315293	1982-1999 –> 2000-2009	0.6748377	1948.2901
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	894	0.2945875	365.80563	0.9330155	1982-1999 –> 2000-2009	0.6758119	1955.3499
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	894	0.2945738	365.72260	0.9327749	1982-1999 –> 2000-2009	0.6758072	1955.3493
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	894	0.2945738	365.72260	0.9327749	1982-1999 –> 2000-2009	0.6758072	1955.3493
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	894	0.2945738	365.72260	0.9327749	1982-1999 –> 2000-2009	0.6758072	1955.3493
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	894	0.2954005	368.73327	0.9580496	1982-1999 –> 2000-2009	0.6777923	1966.8757
Atlantic	(28.15,28.2]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	894	0.3085001	448.31478	1.0029312	1982-1999 –> 2000-2009	0.6991822	2122.7976
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	897	0.3527109	690.03670	2.6502154	2000-2009 –> 2010-2019	0.6463069	1049.8144
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	897	0.3527109	690.03670	2.6502154	2000-2009 –> 2010-2019	0.6463069	1049.8144
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	897	0.3527109	690.03670	2.6502154	2000-2009 –> 2010-2019	0.6463069	1049.8144
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	897	0.3532029	692.53745	2.6422568	2000-2009 –> 2010-2019	0.6471940	1054.7194
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	897	0.3537501	695.31440	2.6317011	2000-2009 –> 2010-2019	0.6483376	1061.1200
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	897	0.3537566	695.34742	2.6319545	2000-2009 –> 2010-2019	0.6483304	1061.0700
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	897	0.3537566	695.34742	2.6319545	2000-2009 –> 2010-2019	0.6483304	1061.0700
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	897	0.3537566	695.34742	2.6319545	2000-2009 –> 2010-2019	0.6483304	1061.0700
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	897	0.3540494	694.83162	2.6673006	2000-2009 –> 2010-2019	0.6494499	1063.5649
Atlantic	(28.15,28.2]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	897	0.3614550	733.96976	2.4726742	2000-2009 –> 2010-2019	0.6699551	1182.2845
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	747	0.3729957	658.52876	2.4623798	1982-1999 –> 2000-2009	0.9242461	2710.8455
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	747	0.3208039	435.32789	1.1493980	1982-1999 –> 2000-2009	0.8700821	2480.7633
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	747	0.3208039	435.32789	1.1493980	1982-1999 –> 2000-2009	0.8700821	2480.7633
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	747	0.3208039	435.32789	1.1493980	1982-1999 –> 2000-2009	0.8700821	2480.7633
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	747	0.3252275	455.78781	1.1330766	1982-1999 –> 2000-2009	0.8743455	2500.5005
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	747	0.3291231	473.57694	1.1439066	1982-1999 –> 2000-2009	0.8773774	2514.3891
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	747	0.3289656	472.86186	1.1465426	1982-1999 –> 2000-2009	0.8772523	2513.8202
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	747	0.3289656	472.86186	1.1465426	1982-1999 –> 2000-2009	0.8772523	2513.8202
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	747	0.3289656	472.86186	1.1465426	1982-1999 –> 2000-2009	0.8772523	2513.8202
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	747	0.3301778	476.35714	1.1046887	1982-1999 –> 2000-2009	0.8813696	2528.4102
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	760	0.5203365	1177.80165	7.1905992	2000-2009 –> 2010-2019	0.8411404	1613.1295
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	760	0.5203365	1177.80165	7.1905992	2000-2009 –> 2010-2019	0.8411404	1613.1295
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	760	0.5203365	1177.80165	7.1905992	2000-2009 –> 2010-2019	0.8411404	1613.1295
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	760	0.5201628	1177.29415	7.1726256	2000-2009 –> 2010-2019	0.8453903	1633.0820
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	760	0.5197775	1176.16785	7.0877840	2000-2009 –> 2010-2019	0.8489006	1649.7448
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	760	0.5914166	1372.43010	10.6326687	2000-2009 –> 2010-2019	0.8774606	1636.4193
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	760	0.5197801	1176.17533	7.0887793	2000-2009 –> 2010-2019	0.8487457	1649.0372
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	760	0.5197801	1176.17533	7.0887793	2000-2009 –> 2010-2019	0.8487457	1649.0372
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	760	0.5197801	1176.17533	7.0887793	2000-2009 –> 2010-2019	0.8487457	1649.0372
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	760	0.5199139	1174.56675	7.0971293	2000-2009 –> 2010-2019	0.8500918	1650.9239
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4068	6.2543379	26472.01165	30.1837950	1982-1999 –> 2000-2009	12.7847142	73878.4990
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4068	6.2120635	26418.83199	29.7389004	1982-1999 –> 2000-2009	12.6917293	73715.2026
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate	4068	6.2543379	26472.01165	30.1837950	1982-1999 –> 2000-2009	12.7847142	73878.4990
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	4068	6.2543379	26472.01165	30.1837950	1982-1999 –> 2000-2009	12.7847142	73878.4990
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	4068	6.2543379	26472.01165	30.1837950	1982-1999 –> 2000-2009	12.7847142	73878.4990
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	4068	6.2120635	26418.83199	29.7389004	1982-1999 –> 2000-2009	12.6917293	73715.2026
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	4068	6.2120635	26418.83199	29.7389004	1982-1999 –> 2000-2009	12.6917293	73715.2026
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4068	6.2512904	26470.04636	30.0960917	1982-1999 –> 2000-2009	12.7801913	73875.2840
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	4068	6.2512904	26470.04636	30.0960917	1982-1999 –> 2000-2009	12.7801913	73875.2840
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	4068	6.2512904	26470.04636	30.0960917	1982-1999 –> 2000-2009	12.7801913	73875.2840
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4035	6.0307092	25963.53139	24.7448809	2000-2009 –> 2010-2019	12.2850471	52435.5430
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4035	5.9655736	25877.89601	24.0313097	2000-2009 –> 2010-2019	12.1776371	52296.7280
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate	4035	6.0307092	25963.53139	24.7448809	2000-2009 –> 2010-2019	12.2850471	52435.5430
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	4035	6.0307092	25963.53139	24.7448809	2000-2009 –> 2010-2019	12.2850471	52435.5430
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	4035	6.0307092	25963.53139	24.7448809	2000-2009 –> 2010-2019	12.2850471	52435.5430
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	4035	5.9655736	25877.89601	24.0313097	2000-2009 –> 2010-2019	12.1776371	52296.7280
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	4035	5.9655736	25877.89601	24.0313097	2000-2009 –> 2010-2019	12.1776371	52296.7280
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4035	6.0279105	25961.78547	24.5933215	2000-2009 –> 2010-2019	12.2792009	52431.8318
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	4035	6.0279105	25961.78547	24.5933215	2000-2009 –> 2010-2019	12.2792009	52431.8318
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	4035	6.0279105	25961.78547	24.5933215	2000-2009 –> 2010-2019	12.2792009	52431.8318
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4157	4.4613119	24244.16704	44.4049296	1982-1999 –> 2000-2009	8.7037624	67769.2641
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	4157	4.4613119	24244.16704	44.4049296	1982-1999 –> 2000-2009	8.7037624	67769.2641
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	4157	4.4613119	24244.16704	44.4049296	1982-1999 –> 2000-2009	8.7037624	67769.2641
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4157	4.5311246	24373.26090	40.0508163	1982-1999 –> 2000-2009	8.8255930	68083.4986
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4157	4.6132885	24522.66990	38.7207450	1982-1999 –> 2000-2009	8.9627978	68426.3819
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4157	4.6228779	24539.93395	39.7750084	1982-1999 –> 2000-2009	8.9838985	68483.7992
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4157	4.6228779	24539.93395	39.7750084	1982-1999 –> 2000-2009	8.9838985	68483.7992
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4157	4.6228779	24539.93395	39.7750084	1982-1999 –> 2000-2009	8.9838985	68483.7992
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4157	4.7928690	24840.16704	40.8786832	1982-1999 –> 2000-2009	9.4020789	69624.9149
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	4157	4.7928690	24840.16704	40.8786832	1982-1999 –> 2000-2009	9.4020789	69624.9149
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4147	4.5645777	24375.67208	44.6175767	2000-2009 –> 2010-2019	9.0258896	48619.8391
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	4147	4.5645777	24375.67208	44.6175767	2000-2009 –> 2010-2019	9.0258896	48619.8391
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	4147	4.5645777	24375.67208	44.6175767	2000-2009 –> 2010-2019	9.0258896	48619.8391
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4147	4.6356613	24503.83818	39.8783600	2000-2009 –> 2010-2019	9.1667859	48877.0991
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4147	4.7049007	24626.80338	38.5617199	2000-2009 –> 2010-2019	9.3181892	49149.4733
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4147	4.7098886	24635.59159	38.4696526	2000-2009 –> 2010-2019	9.3327666	49175.5255
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4147	4.7098886	24635.59159	38.4696526	2000-2009 –> 2010-2019	9.3327666	49175.5255
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4147	4.7098886	24635.59159	38.4696526	2000-2009 –> 2010-2019	9.3327666	49175.5255
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	4147	4.8970961	24958.87626	41.1659746	2000-2009 –> 2010-2019	9.6899651	49799.0433
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	4147	4.8970961	24958.87626	41.1659746	2000-2009 –> 2010-2019	9.6899651	49799.0433
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + silicate + phosphate	3304	4.0150866	18573.85511	21.5932210	1982-1999 –> 2000-2009	7.9621423	51686.7217
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	3304	4.0150866	18573.85511	21.5932210	1982-1999 –> 2000-2009	7.9621423	51686.7217
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + silicate + phosphate_star	3304	4.0150866	18573.85511	21.5932210	1982-1999 –> 2000-2009	7.9621423	51686.7217
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3304	3.9239979	18424.21536	19.7815762	1982-1999 –> 2000-2009	7.6795840	50949.5356
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	3304	3.9239979	18424.21536	19.7815762	1982-1999 –> 2000-2009	7.6795840	50949.5356
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	3304	3.9239979	18424.21536	19.7815762	1982-1999 –> 2000-2009	7.6795840	50949.5356
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3304	4.0303677	18600.95695	20.9530688	1982-1999 –> 2000-2009	7.8886633	51446.1662
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3304	3.9255794	18426.87811	19.9955038	1982-1999 –> 2000-2009	7.7903467	51291.9572
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	3304	3.9255794	18426.87811	19.9955038	1982-1999 –> 2000-2009	7.7903467	51291.9572
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	3304	3.9255794	18426.87811	19.9955038	1982-1999 –> 2000-2009	7.7903467	51291.9572
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3289	4.3279970	18983.23737	25.1933400	2000-2009 –> 2010-2019	8.3430836	37557.0925
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + silicate + phosphate	3289	4.3279970	18983.23737	25.1933400	2000-2009 –> 2010-2019	8.3430836	37557.0925
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	3289	4.3279970	18983.23737	25.1933400	2000-2009 –> 2010-2019	8.3430836	37557.0925
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + silicate + phosphate_star	3289	4.3279970	18983.23737	25.1933400	2000-2009 –> 2010-2019	8.3430836	37557.0925
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3289	4.1937765	18778.00926	25.3493782	2000-2009 –> 2010-2019	8.1177744	37202.2246
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	3289	4.1937765	18778.00926	25.3493782	2000-2009 –> 2010-2019	8.1177744	37202.2246
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	3289	4.1937765	18778.00926	25.3493782	2000-2009 –> 2010-2019	8.1177744	37202.2246
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3289	4.1875904	18768.29906	23.3236715	2000-2009 –> 2010-2019	8.1131698	37195.1772
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	3289	4.1875904	18768.29906	23.3236715	2000-2009 –> 2010-2019	8.1131698	37195.1772
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	3289	4.1875904	18768.29906	23.3236715	2000-2009 –> 2010-2019	8.1131698	37195.1772
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3405	4.1300631	19335.54458	22.9545815	1982-1999 –> 2000-2009	7.6726931	53857.9468
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	3405	4.1300631	19335.54458	22.9545815	1982-1999 –> 2000-2009	7.6726931	53857.9468
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	3405	4.1300631	19335.54458	22.9545815	1982-1999 –> 2000-2009	7.6726931	53857.9468
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	3405	4.1357100	19342.84928	23.1363869	1982-1999 –> 2000-2009	7.7196231	54012.2226
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3405	4.1137006	19308.51105	21.9290321	1982-1999 –> 2000-2009	7.6794083	53914.4024
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + aou + phosphate	3405	4.1357100	19342.84928	23.1363869	1982-1999 –> 2000-2009	7.7196231	54012.2226
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	3405	4.1357100	19342.84928	23.1363869	1982-1999 –> 2000-2009	7.7196231	54012.2226
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + aou + phosphate_star	3405	4.1357100	19342.84928	23.1363869	1982-1999 –> 2000-2009	7.7196231	54012.2226
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	3405	4.1137006	19308.51105	21.9290321	1982-1999 –> 2000-2009	7.6794083	53914.4024
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	3405	4.1137006	19308.51105	21.9290321	1982-1999 –> 2000-2009	7.6794083	53914.4024
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3612	4.4890281	21112.23194	22.6183332	2000-2009 –> 2010-2019	8.6190911	40447.7765
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	3612	4.4890281	21112.23194	22.6183332	2000-2009 –> 2010-2019	8.6190911	40447.7765
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	3612	4.4890281	21112.23194	22.6183332	2000-2009 –> 2010-2019	8.6190911	40447.7765
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	3612	4.4935599	21117.52118	22.8082610	2000-2009 –> 2010-2019	8.6292699	40460.3705
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3612	4.4764669	21091.98941	21.6916624	2000-2009 –> 2010-2019	8.5901674	40400.5005
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + aou + phosphate	3612	4.4935599	21117.52118	22.8082610	2000-2009 –> 2010-2019	8.6292699	40460.3705
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	3612	4.4935599	21117.52118	22.8082610	2000-2009 –> 2010-2019	8.6292699	40460.3705
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + aou + phosphate_star	3612	4.4935599	21117.52118	22.8082610	2000-2009 –> 2010-2019	8.6292699	40460.3705
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	3612	4.4764669	21091.98941	21.6916624	2000-2009 –> 2010-2019	8.5901674	40400.5005
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	3612	4.4764669	21091.98941	21.6916624	2000-2009 –> 2010-2019	8.5901674	40400.5005
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3305	3.6141863	17886.15284	40.1619302	1982-1999 –> 2000-2009	6.6074430	46911.6290
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	3305	3.6141863	17886.15284	40.1619302	1982-1999 –> 2000-2009	6.6074430	46911.6290
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	3305	3.6141863	17886.15284	40.1619302	1982-1999 –> 2000-2009	6.6074430	46911.6290
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	3305	3.6228288	17899.94038	39.3747846	1982-1999 –> 2000-2009	6.6455441	47036.3751
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3305	3.3193717	17323.69994	28.2067888	1982-1999 –> 2000-2009	6.1167420	45568.5297
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + aou + phosphate	3305	3.6228288	17899.94038	39.3747846	1982-1999 –> 2000-2009	6.6455441	47036.3751
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	3305	3.6228288	17899.94038	39.3747846	1982-1999 –> 2000-2009	6.6455441	47036.3751
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + aou + phosphate_star	3305	3.6228288	17899.94038	39.3747846	1982-1999 –> 2000-2009	6.6455441	47036.3751
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	3305	3.3193717	17323.69994	28.2067888	1982-1999 –> 2000-2009	6.1167420	45568.5297
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	3305	3.3193717	17323.69994	28.2067888	1982-1999 –> 2000-2009	6.1167420	45568.5297
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3306	4.4222303	19225.71276	35.9910023	2000-2009 –> 2010-2019	8.0364166	37111.8656
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	3306	4.4222303	19225.71276	35.9910023	2000-2009 –> 2010-2019	8.0364166	37111.8656
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	3306	4.4222303	19225.71276	35.9910023	2000-2009 –> 2010-2019	8.0364166	37111.8656
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	3306	4.4229353	19224.76673	36.2569818	2000-2009 –> 2010-2019	8.0457641	37124.7071
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3306	3.8572215	18321.87184	24.7883316	2000-2009 –> 2010-2019	7.1765932	35645.5718
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + aou + phosphate	3306	4.4229353	19224.76673	36.2569818	2000-2009 –> 2010-2019	8.0457641	37124.7071
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	3306	4.4229353	19224.76673	36.2569818	2000-2009 –> 2010-2019	8.0457641	37124.7071
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + aou + phosphate_star	3306	4.4229353	19224.76673	36.2569818	2000-2009 –> 2010-2019	8.0457641	37124.7071
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	3306	3.8572215	18321.87184	24.7883316	2000-2009 –> 2010-2019	7.1765932	35645.5718
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	3306	3.8572215	18321.87184	24.7883316	2000-2009 –> 2010-2019	7.1765932	35645.5718
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2710	3.1483319	13920.69726	29.0568899	1982-1999 –> 2000-2009	6.0624039	37411.1112
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2710	3.1483319	13920.69726	29.0568899	1982-1999 –> 2000-2009	6.0624039	37411.1112
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2710	3.1483319	13920.69726	29.0568899	1982-1999 –> 2000-2009	6.0624039	37411.1112
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2710	3.1323988	13893.19790	29.3096273	1982-1999 –> 2000-2009	6.0342050	37343.8192
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2710	3.1591251	13939.24637	29.3822952	1982-1999 –> 2000-2009	6.0806371	37453.7161
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2710	3.1591251	13939.24637	29.3822952	1982-1999 –> 2000-2009	6.0806371	37453.7161
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2710	3.1591251	13939.24637	29.3822952	1982-1999 –> 2000-2009	6.0806371	37453.7161
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2710	2.8791028	13436.18144	30.1616835	1982-1999 –> 2000-2009	5.6918465	36592.7171
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2710	2.8791028	13436.18144	30.1616835	1982-1999 –> 2000-2009	5.6918465	36592.7171
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2710	2.8791028	13436.18144	30.1616835	1982-1999 –> 2000-2009	5.6918465	36592.7171
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2689	3.4797226	14351.16236	27.2046175	2000-2009 –> 2010-2019	6.6280545	28271.8596
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2689	3.4797226	14351.16236	27.2046175	2000-2009 –> 2010-2019	6.6280545	28271.8596
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2689	3.4797226	14351.16236	27.2046175	2000-2009 –> 2010-2019	6.6280545	28271.8596
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2689	3.4579396	14317.39033	27.6796463	2000-2009 –> 2010-2019	6.5903383	28210.5882
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2689	3.4849552	14359.24349	27.8120857	2000-2009 –> 2010-2019	6.6440803	28298.4899
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2689	3.4849552	14359.24349	27.8120857	2000-2009 –> 2010-2019	6.6440803	28298.4899
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2689	3.4849552	14359.24349	27.8120857	2000-2009 –> 2010-2019	6.6440803	28298.4899
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2689	3.1715327	13852.41947	28.4926927	2000-2009 –> 2010-2019	6.0506354	27288.6009
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2689	3.1715327	13852.41947	28.4926927	2000-2009 –> 2010-2019	6.0506354	27288.6009
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2689	3.1715327	13852.41947	28.4926927	2000-2009 –> 2010-2019	6.0506354	27288.6009
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2455	1.8277780	9942.21414	9.5689598	1982-1999 –> 2000-2009	3.4782703	27247.8439
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2455	1.8474303	9992.72492	12.0296908	1982-1999 –> 2000-2009	3.4981424	27297.5535
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2455	1.8277780	9942.21414	9.5689598	1982-1999 –> 2000-2009	3.4782703	27247.8439
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2455	1.8277780	9942.21414	9.5689598	1982-1999 –> 2000-2009	3.4782703	27247.8439
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + silicate + phosphate	2455	1.8699257	10052.15079	13.7510023	1982-1999 –> 2000-2009	3.5212956	27360.5676
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2455	1.8250226	9934.80673	9.5259842	1982-1999 –> 2000-2009	3.4759581	27242.8542
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2455	1.8266062	9939.06549	9.5472442	1982-1999 –> 2000-2009	3.4770941	27244.6707
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2455	1.8260200	9937.48932	9.5388757	1982-1999 –> 2000-2009	3.4765311	27243.2215
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2455	1.8260200	9937.48932	9.5388757	1982-1999 –> 2000-2009	3.4765311	27243.2215
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2455	1.8260200	9937.48932	9.5388757	1982-1999 –> 2000-2009	3.4765311	27243.2215
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2398	2.1203978	10423.92053	12.5218410	2000-2009 –> 2010-2019	3.9481757	20366.1347
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2398	2.1843959	10564.53256	13.2882456	2000-2009 –> 2010-2019	4.0318262	20557.2575
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2398	2.1203978	10423.92053	12.5218410	2000-2009 –> 2010-2019	3.9481757	20366.1347
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2398	2.1203978	10423.92053	12.5218410	2000-2009 –> 2010-2019	3.9481757	20366.1347
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + silicate + phosphate	2398	2.2298224	10663.24681	15.1377772	2000-2009 –> 2010-2019	4.0997481	20715.3976
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2398	2.1178103	10418.06456	12.4400831	2000-2009 –> 2010-2019	3.9428329	20352.8713
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2398	2.1187777	10420.25475	12.4751825	2000-2009 –> 2010-2019	3.9453839	20359.3202
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2398	2.1182922	10419.15580	12.4592226	2000-2009 –> 2010-2019	3.9443122	20356.6451
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2398	2.1182922	10419.15580	12.4592226	2000-2009 –> 2010-2019	3.9443122	20356.6451
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2398	2.1182922	10419.15580	12.4592226	2000-2009 –> 2010-2019	3.9443122	20356.6451
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	898	1.2224492	2923.15168	5.5948721	1982-1999 –> 2000-2009	2.4197891	8335.5137
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	898	1.2224492	2923.15168	5.5948721	1982-1999 –> 2000-2009	2.4197891	8335.5137
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	898	1.2224492	2923.15168	5.5948721	1982-1999 –> 2000-2009	2.4197891	8335.5137
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	898	1.4030748	3168.65795	6.9627066	1982-1999 –> 2000-2009	2.7476322	8970.5096
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	898	1.3121619	3050.34386	6.8238078	1982-1999 –> 2000-2009	2.5615515	8606.3640
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + aou + phosphate	898	1.4030748	3168.65795	6.9627066	1982-1999 –> 2000-2009	2.7476322	8970.5096
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	898	1.4030748	3168.65795	6.9627066	1982-1999 –> 2000-2009	2.7476322	8970.5096
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + aou + phosphate_star	898	1.4030748	3168.65795	6.9627066	1982-1999 –> 2000-2009	2.7476322	8970.5096
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	898	1.3121619	3050.34386	6.8238078	1982-1999 –> 2000-2009	2.5615515	8606.3640
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	898	1.3121619	3050.34386	6.8238078	1982-1999 –> 2000-2009	2.5615515	8606.3640
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1009	1.5134906	3713.71471	12.2632116	2000-2009 –> 2010-2019	2.9811156	6965.1556
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1009	1.5134906	3713.71471	12.2632116	2000-2009 –> 2010-2019	2.9811156	6965.1556
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1009	1.5134906	3713.71471	12.2632116	2000-2009 –> 2010-2019	2.9811156	6965.1556
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1009	1.2927124	3395.52470	7.3742653	2000-2009 –> 2010-2019	2.5151617	6318.6764
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1009	1.2927124	3395.52470	7.3742653	2000-2009 –> 2010-2019	2.5151617	6318.6764
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1009	1.2927124	3395.52470	7.3742653	2000-2009 –> 2010-2019	2.5151617	6318.6764
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	1009	1.5821543	3801.25096	10.9603455	2000-2009 –> 2010-2019	2.9852291	6969.9089
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1009	1.4557545	3635.22599	9.7195649	2000-2009 –> 2010-2019	2.7679164	6685.5698
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1009	1.4557545	3635.22599	9.7195649	2000-2009 –> 2010-2019	2.7679164	6685.5698
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1009	1.4557545	3635.22599	9.7195649	2000-2009 –> 2010-2019	2.7679164	6685.5698
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1359	1.3919879	4769.60680	9.4266661	1982-1999 –> 2000-2009	2.6686657	13202.7243
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1359	1.3919879	4769.60680	9.4266661	1982-1999 –> 2000-2009	2.6686657	13202.7243
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1359	1.3919879	4769.60680	9.4266661	1982-1999 –> 2000-2009	2.6686657	13202.7243
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1359	1.2823413	4546.60767	6.0401238	1982-1999 –> 2000-2009	2.3678565	12158.6356
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1359	1.2823413	4546.60767	6.0401238	1982-1999 –> 2000-2009	2.3678565	12158.6356
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1359	1.2823413	4546.60767	6.0401238	1982-1999 –> 2000-2009	2.3678565	12158.6356
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + silicate	1359	1.2308714	4435.26424	6.8783396	1982-1999 –> 2000-2009	2.3786409	12329.5787
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1359	1.4028290	4790.69321	8.5722708	1982-1999 –> 2000-2009	2.6679488	13177.7746
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1359	1.4028290	4790.69321	8.5722708	1982-1999 –> 2000-2009	2.6679488	13177.7746
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1359	1.4028290	4790.69321	8.5722708	1982-1999 –> 2000-2009	2.6679488	13177.7746
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1425	1.5031006	5219.43535	12.9206170	2000-2009 –> 2010-2019	2.8950884	9989.0422
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + silicate	1425	1.5073394	5225.46115	13.9629051	2000-2009 –> 2010-2019	2.9277136	10047.9376
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1425	1.5031006	5219.43535	12.9206170	2000-2009 –> 2010-2019	2.8950884	9989.0422
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1425	1.5031006	5219.43535	12.9206170	2000-2009 –> 2010-2019	2.8950884	9989.0422
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1425	1.3880824	4992.55593	8.8164517	2000-2009 –> 2010-2019	2.6704236	9539.1636
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1425	1.5201152	5251.51529	13.4329107	2000-2009 –> 2010-2019	2.9314617	10058.6614
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1425	1.5211995	5253.54749	13.5675719	2000-2009 –> 2010-2019	2.9349353	10065.2910
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1425	1.3880824	4992.55593	8.8164517	2000-2009 –> 2010-2019	2.6704236	9539.1636
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1425	1.3880824	4992.55593	8.8164517	2000-2009 –> 2010-2019	2.6704236	9539.1636
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + silicate	1425	1.3739839	4963.46109	7.0394367	2000-2009 –> 2010-2019	2.6048553	9398.7253
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	872	0.5827310	1546.81710	3.0634322	1982-1999 –> 2000-2009	1.1248246	4366.2482
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	872	0.5827310	1546.81710	3.0634322	1982-1999 –> 2000-2009	1.1248246	4366.2482
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	872	0.5827310	1546.81710	3.0634322	1982-1999 –> 2000-2009	1.1248246	4366.2482
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	872	0.5832423	1548.34683	3.1088167	1982-1999 –> 2000-2009	1.1264308	4374.7956
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	872	0.5837502	1549.86485	3.1531298	1982-1999 –> 2000-2009	1.1278513	4382.1520
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	872	0.5838761	1550.24074	3.1638881	1982-1999 –> 2000-2009	1.1282038	4383.9765
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	872	0.5838761	1550.24074	3.1638881	1982-1999 –> 2000-2009	1.1282038	4383.9765
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	872	0.5781727	1533.12154	2.9283577	1982-1999 –> 2000-2009	1.1106998	4290.6273
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	872	0.5781727	1533.12154	2.9283577	1982-1999 –> 2000-2009	1.1106998	4290.6273
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	872	0.5781727	1533.12154	2.9283577	1982-1999 –> 2000-2009	1.1106998	4290.6273
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	938	0.5996316	1716.46766	2.7687038	2000-2009 –> 2010-2019	1.1823626	3263.2848
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	938	0.5996316	1716.46766	2.7687038	2000-2009 –> 2010-2019	1.1823626	3263.2848
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	938	0.5996316	1716.46766	2.7687038	2000-2009 –> 2010-2019	1.1823626	3263.2848
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	938	0.6003588	1718.74144	2.7705593	2000-2009 –> 2010-2019	1.1836012	3267.0883
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	938	0.6011216	1721.12337	2.7687527	2000-2009 –> 2010-2019	1.1848718	3270.9882
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	938	0.6012910	1721.65215	2.7688968	2000-2009 –> 2010-2019	1.1851671	3271.8929
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	938	0.6012910	1721.65215	2.7688968	2000-2009 –> 2010-2019	1.1851671	3271.8929
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	938	0.5884165	1681.04778	2.8671423	2000-2009 –> 2010-2019	1.1665892	3214.1693
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	938	0.5884165	1681.04778	2.8671423	2000-2009 –> 2010-2019	1.1665892	3214.1693
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	938	0.5884165	1681.04778	2.8671423	2000-2009 –> 2010-2019	1.1665892	3214.1693
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	784	0.4565536	1009.50668	2.3886492	1982-1999 –> 2000-2009	0.9126696	2949.3867
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	784	0.4565536	1009.50668	2.3886492	1982-1999 –> 2000-2009	0.9126696	2949.3867
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	784	0.4565536	1009.50668	2.3886492	1982-1999 –> 2000-2009	0.9126696	2949.3867
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	784	0.4566936	1009.98731	2.3903293	1982-1999 –> 2000-2009	0.9128511	2950.1445
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	784	0.4569601	1010.90206	2.3908129	1982-1999 –> 2000-2009	0.9133273	2952.4555
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	784	0.4570179	1011.10042	2.3910982	1982-1999 –> 2000-2009	0.9134318	2952.9641
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	784	0.4570179	1011.10042	2.3910982	1982-1999 –> 2000-2009	0.9134318	2952.9641
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	784	0.4535666	999.21403	2.3682555	1982-1999 –> 2000-2009	0.9084935	2931.1645
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	784	0.4535666	999.21403	2.3682555	1982-1999 –> 2000-2009	0.9084935	2931.1645
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	784	0.4535666	999.21403	2.3682555	1982-1999 –> 2000-2009	0.9084935	2931.1645
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	796	0.4695489	1069.42535	2.6500916	2000-2009 –> 2010-2019	0.9261025	2078.9320
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	796	0.4695489	1069.42535	2.6500916	2000-2009 –> 2010-2019	0.9261025	2078.9320
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	796	0.4695489	1069.42535	2.6500916	2000-2009 –> 2010-2019	0.9261025	2078.9320
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	796	0.4696039	1069.61202	2.6509005	2000-2009 –> 2010-2019	0.9262975	2079.5993
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	796	0.4697309	1070.04235	2.6510148	2000-2009 –> 2010-2019	0.9266910	2080.9444
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	796	0.4697563	1070.12852	2.6511253	2000-2009 –> 2010-2019	0.9267742	2081.2289
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	796	0.4697563	1070.12852	2.6511253	2000-2009 –> 2010-2019	0.9267742	2081.2289
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	796	0.4698359	1070.39830	2.6322635	2000-2009 –> 2010-2019	0.9234025	2069.6123
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	796	0.4698359	1070.39830	2.6322635	2000-2009 –> 2010-2019	0.9234025	2069.6123
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	796	0.4698359	1070.39830	2.6322635	2000-2009 –> 2010-2019	0.9234025	2069.6123
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	7155	0.7748402	16668.55197	4.5631453	1982-1999 –> 2000-2009	1.5367473	46449.6979
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	7155	0.7748402	16668.55197	4.5631453	1982-1999 –> 2000-2009	1.5367473	46449.6979
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	7155	0.7748402	16668.55197	4.5631453	1982-1999 –> 2000-2009	1.5367473	46449.6979
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7155	0.7753930	16678.75683	4.5572702	1982-1999 –> 2000-2009	1.5375236	46467.5166
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7155	0.7757486	16685.31880	4.5516432	1982-1999 –> 2000-2009	1.5380528	46479.9901
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	7155	0.7757726	16685.76100	4.5516583	1982-1999 –> 2000-2009	1.5380884	46480.8270
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	7155	0.7757726	16685.76100	4.5516583	1982-1999 –> 2000-2009	1.5380884	46480.8270
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7155	0.7757726	16685.76100	4.5516583	1982-1999 –> 2000-2009	1.5380884	46480.8270
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	7155	0.7739672	16652.41905	4.6223889	1982-1999 –> 2000-2009	1.5411749	46613.4928
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	7155	0.7739672	16652.41905	4.6223889	1982-1999 –> 2000-2009	1.5411749	46613.4928
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	7256	0.7781670	16965.82233	4.9471578	2000-2009 –> 2010-2019	1.5530073	33634.3743
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	7256	0.7781670	16965.82233	4.9471578	2000-2009 –> 2010-2019	1.5530073	33634.3743
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	7256	0.7781670	16965.82233	4.9471578	2000-2009 –> 2010-2019	1.5530073	33634.3743
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7256	0.7791079	16983.35723	4.9453928	2000-2009 –> 2010-2019	1.5545009	33662.1141
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7256	0.7796857	16994.11527	4.9398435	2000-2009 –> 2010-2019	1.5554343	33679.4341
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	7256	0.7797224	16994.79982	4.9402723	2000-2009 –> 2010-2019	1.5554950	33680.5608
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7256	0.7797224	16994.79982	4.9402723	2000-2009 –> 2010-2019	1.5554950	33680.5608
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	7256	0.7716749	16844.24241	5.0329559	2000-2009 –> 2010-2019	1.5456421	33496.6615
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	7256	0.7716749	16844.24241	5.0329559	2000-2009 –> 2010-2019	1.5456421	33496.6615
Indo-Pacific	(28.1, Inf]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	7256	0.7716749	16844.24241	5.0329559	2000-2009 –> 2010-2019	1.5456421	33496.6615
SO	(26,26.5]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	78	2.8157374	396.84938	11.2659750	1982-1999 –> 2000-2009	6.3036351	1099.2547
SO	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	78	2.8050814	396.25789	11.6315924	1982-1999 –> 2000-2009	6.3035424	1099.4434
SO	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	78	2.7886568	395.34178	11.5483245	1982-1999 –> 2000-2009	6.2743558	1097.5844
SO	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	78	2.8157374	396.84938	11.2659750	1982-1999 –> 2000-2009	6.3036351	1099.2547
SO	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	78	2.7871436	395.25711	11.5517080	1982-1999 –> 2000-2009	6.2702882	1097.3106
SO	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	78	2.7871436	395.25711	11.5517080	1982-1999 –> 2000-2009	6.2702882	1097.3106
SO	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	78	2.7871436	395.25711	11.5517080	1982-1999 –> 2000-2009	6.2702882	1097.3106
SO	(26,26.5]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	78	2.7631466	393.90814	11.4529696	1982-1999 –> 2000-2009	6.2013853	1092.6138
SO	(26,26.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	78	2.7631466	393.90814	11.4529696	1982-1999 –> 2000-2009	6.2013853	1092.6138
SO	(26,26.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	78	2.7631466	393.90814	11.4529696	1982-1999 –> 2000-2009	6.2013853	1092.6138
SO	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	72	3.1319558	382.72585	9.3286768	2000-2009 –> 2010-2019	5.9881777	781.8022
SO	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	72	3.1319558	382.72585	9.3286768	2000-2009 –> 2010-2019	5.9881777	781.8022
SO	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	72	3.1319558	382.72585	9.3286768	2000-2009 –> 2010-2019	5.9881777	781.8022
SO	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	72	3.1215548	382.24684	9.2181025	2000-2009 –> 2010-2019	5.9266363	778.5047
SO	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	72	3.1221341	382.27356	9.1928305	2000-2009 –> 2010-2019	5.9107910	777.6153
SO	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	72	3.1224992	382.29040	9.1875255	2000-2009 –> 2010-2019	5.9096428	777.5475
SO	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	72	3.1224992	382.29040	9.1875255	2000-2009 –> 2010-2019	5.9096428	777.5475
SO	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	72	3.1224992	382.29040	9.1875255	2000-2009 –> 2010-2019	5.9096428	777.5475
SO	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	72	3.1719909	382.55491	9.0727176	2000-2009 –> 2010-2019	5.9752819	776.7132
SO	(26,26.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	72	3.2253225	386.95589	9.2938943	2000-2009 –> 2010-2019	5.9884690	780.8640
SO	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	257	3.1725093	1336.75914	10.7019338	1982-1999 –> 2000-2009	6.6678577	3593.8713
SO	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	257	3.1725093	1336.75914	10.7019338	1982-1999 –> 2000-2009	6.6678577	3593.8713
SO	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	257	3.1725093	1336.75914	10.7019338	1982-1999 –> 2000-2009	6.6678577	3593.8713
SO	(26.5,26.75]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	257	3.2426428	1345.99818	10.7772527	1982-1999 –> 2000-2009	6.8015896	3616.2569
SO	(26.5,26.75]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	257	3.2178964	1344.06052	10.4966067	1982-1999 –> 2000-2009	6.7743573	3615.7323
SO	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + aou + phosphate	257	3.2426428	1345.99818	10.7772527	1982-1999 –> 2000-2009	6.8015896	3616.2569
SO	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	257	3.2426428	1345.99818	10.7772527	1982-1999 –> 2000-2009	6.8015896	3616.2569
SO	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + aou + phosphate_star	257	3.2426428	1345.99818	10.7772527	1982-1999 –> 2000-2009	6.8015896	3616.2569
SO	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	257	3.2178964	1344.06052	10.4966067	1982-1999 –> 2000-2009	6.7743573	3615.7323
SO	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	257	3.2178964	1344.06052	10.4966067	1982-1999 –> 2000-2009	6.7743573	3615.7323
SO	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	188	3.4049273	1008.20495	9.9742621	2000-2009 –> 2010-2019	6.5774365	2344.9641
SO	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	188	3.3396550	1000.92708	10.5155547	2000-2009 –> 2010-2019	6.5858751	2349.4920
SO	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	188	3.4049273	1008.20495	9.9742621	2000-2009 –> 2010-2019	6.5774365	2344.9641
SO	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	188	3.4049273	1008.20495	9.9742621	2000-2009 –> 2010-2019	6.5774365	2344.9641
SO	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	188	3.3400483	1000.97135	10.5205465	2000-2009 –> 2010-2019	6.5876427	2349.7538
SO	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	188	3.3400483	1000.97135	10.5205465	2000-2009 –> 2010-2019	6.5876427	2349.7538
SO	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	188	3.3400483	1000.97135	10.5205465	2000-2009 –> 2010-2019	6.5876427	2349.7538
SO	(26.5,26.75]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	188	3.3308101	999.92994	10.1946264	2000-2009 –> 2010-2019	6.5487065	2343.9905
SO	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	188	3.3308101	999.92994	10.1946264	2000-2009 –> 2010-2019	6.5487065	2343.9905
SO	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	188	3.3308101	999.92994	10.1946264	2000-2009 –> 2010-2019	6.5487065	2343.9905
SO	(26.75,27]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	815	2.3520217	3720.96844	11.1863229	1982-1999 –> 2000-2009	4.8397553	10795.8098
SO	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	815	2.3520217	3720.96844	11.1863229	1982-1999 –> 2000-2009	4.8397553	10795.8098
SO	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	815	2.3520217	3720.96844	11.1863229	1982-1999 –> 2000-2009	4.8397553	10795.8098
SO	(26.75,27]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	815	2.3521796	3719.07793	11.1711976	1982-1999 –> 2000-2009	4.8399717	10791.9903
SO	(26.75,27]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	815	2.3096708	3691.35094	9.2239862	1982-1999 –> 2000-2009	4.7448287	10701.4699
SO	(26.75,27]	4	cstar_tref ~ temp + oxygen + aou + phosphate	815	2.3521796	3719.07793	11.1711976	1982-1999 –> 2000-2009	4.8399717	10791.9903
SO	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	815	2.3521796	3719.07793	11.1711976	1982-1999 –> 2000-2009	4.8399717	10791.9903
SO	(26.75,27]	4	cstar_tref ~ temp + oxygen + aou + phosphate_star	815	2.3521796	3719.07793	11.1711976	1982-1999 –> 2000-2009	4.8399717	10791.9903
SO	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	815	2.3096708	3691.35094	9.2239862	1982-1999 –> 2000-2009	4.7448287	10701.4699
SO	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	815	2.3096708	3691.35094	9.2239862	1982-1999 –> 2000-2009	4.7448287	10701.4699
SO	(26.75,27]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	796	2.4271419	3684.59943	15.0177920	2000-2009 –> 2010-2019	4.7791635	7405.5679
SO	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	796	2.4271419	3684.59943	15.0177920	2000-2009 –> 2010-2019	4.7791635	7405.5679
SO	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	796	2.4271419	3684.59943	15.0177920	2000-2009 –> 2010-2019	4.7791635	7405.5679
SO	(26.75,27]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	796	2.4271619	3682.61259	15.0082632	2000-2009 –> 2010-2019	4.7793416	7401.6905
SO	(26.75,27]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	796	2.3280611	3618.24709	12.4194086	2000-2009 –> 2010-2019	4.6377318	7309.5980
SO	(26.75,27]	4	cstar_tref ~ temp + oxygen + aou + phosphate	796	2.4271619	3682.61259	15.0082632	2000-2009 –> 2010-2019	4.7793416	7401.6905
SO	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	796	2.4271619	3682.61259	15.0082632	2000-2009 –> 2010-2019	4.7793416	7401.6905
SO	(26.75,27]	4	cstar_tref ~ temp + oxygen + aou + phosphate_star	796	2.4271619	3682.61259	15.0082632	2000-2009 –> 2010-2019	4.7793416	7401.6905
SO	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	796	2.3280611	3618.24709	12.4194086	2000-2009 –> 2010-2019	4.6377318	7309.5980
SO	(26.75,27]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	796	2.3280611	3618.24709	12.4194086	2000-2009 –> 2010-2019	4.6377318	7309.5980
SO	(27,27.25]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2024	1.6683452	7829.76010	6.9107369	1982-1999 –> 2000-2009	3.2562543	20779.9685
SO	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	2024	1.6683452	7829.76010	6.9107369	1982-1999 –> 2000-2009	3.2562543	20779.9685
SO	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	2024	1.6683452	7829.76010	6.9107369	1982-1999 –> 2000-2009	3.2562543	20779.9685
SO	(27,27.25]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	2024	1.6683604	7827.79693	6.9020159	1982-1999 –> 2000-2009	3.2781094	20869.9325
SO	(27,27.25]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2024	1.6158565	7700.35738	7.0899316	1982-1999 –> 2000-2009	3.2230355	20733.5062
SO	(27,27.25]	4	cstar_tref ~ temp + oxygen + aou + phosphate	2024	1.6683604	7827.79693	6.9020159	1982-1999 –> 2000-2009	3.2781094	20869.9325
SO	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	2024	1.6683604	7827.79693	6.9020159	1982-1999 –> 2000-2009	3.2781094	20869.9325
SO	(27,27.25]	4	cstar_tref ~ temp + oxygen + aou + phosphate_star	2024	1.6683604	7827.79693	6.9020159	1982-1999 –> 2000-2009	3.2781094	20869.9325
SO	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2024	1.6158565	7700.35738	7.0899316	1982-1999 –> 2000-2009	3.2230355	20733.5062
SO	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2024	1.6158565	7700.35738	7.0899316	1982-1999 –> 2000-2009	3.2230355	20733.5062
SO	(27,27.25]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1775	1.9210299	7368.89002	14.9429104	2000-2009 –> 2010-2019	3.5893752	15198.6501
SO	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1775	1.9210299	7368.89002	14.9429104	2000-2009 –> 2010-2019	3.5893752	15198.6501
SO	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1775	1.9210299	7368.89002	14.9429104	2000-2009 –> 2010-2019	3.5893752	15198.6501
SO	(27,27.25]	4	cstar_tref ~ temp + aou + phosphate + phosphate_star	1775	1.9244383	7373.18304	15.5965902	2000-2009 –> 2010-2019	3.5927987	15200.9800
SO	(27,27.25]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1775	1.8576089	7249.71164	15.2959730	2000-2009 –> 2010-2019	3.4734654	14950.0690
SO	(27,27.25]	4	cstar_tref ~ temp + oxygen + aou + phosphate	1775	1.9244383	7373.18304	15.5965902	2000-2009 –> 2010-2019	3.5927987	15200.9800
SO	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	1775	1.9244383	7373.18304	15.5965902	2000-2009 –> 2010-2019	3.5927987	15200.9800
SO	(27,27.25]	4	cstar_tref ~ temp + oxygen + aou + phosphate_star	1775	1.9244383	7373.18304	15.5965902	2000-2009 –> 2010-2019	3.5927987	15200.9800
SO	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1775	1.8576089	7249.71164	15.2959730	2000-2009 –> 2010-2019	3.4734654	14950.0690
SO	(27,27.25]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1775	1.8576089	7249.71164	15.2959730	2000-2009 –> 2010-2019	3.4734654	14950.0690
SO	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2079	1.6917569	8100.08812	10.4548128	1982-1999 –> 2000-2009	3.1291071	21669.5644
SO	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2079	1.6920607	8100.83470	10.4245259	1982-1999 –> 2000-2009	3.1307959	21677.6383
SO	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2079	1.6920607	8100.83470	10.4245259	1982-1999 –> 2000-2009	3.1307959	21677.6383
SO	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2079	1.6920607	8100.83470	10.4245259	1982-1999 –> 2000-2009	3.1307959	21677.6383
SO	(27.25,27.5]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2079	1.6927112	8102.43285	10.3868706	1982-1999 –> 2000-2009	3.1309881	21676.8127
SO	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2079	1.6927467	8100.52005	10.3740389	1982-1999 –> 2000-2009	3.1340475	21688.8788
SO	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2079	1.6927112	8102.43285	10.3868706	1982-1999 –> 2000-2009	3.1309881	21676.8127
SO	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2079	1.6927112	8102.43285	10.3868706	1982-1999 –> 2000-2009	3.1309881	21676.8127
SO	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + silicate + phosphate_star	2079	1.6931654	8101.54828	10.3381690	1982-1999 –> 2000-2009	3.1361189	21698.6262
SO	(27.25,27.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2079	1.6931654	8101.54828	10.3381690	1982-1999 –> 2000-2009	3.1361189	21698.6262
SO	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2105	1.7941495	8448.60706	9.0389097	2000-2009 –> 2010-2019	3.4890168	16556.3327
SO	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2105	1.7964557	8454.01514	9.0090739	2000-2009 –> 2010-2019	3.4882126	16554.1033
SO	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2105	1.7950938	8450.82229	9.0235868	2000-2009 –> 2010-2019	3.4871545	16551.6570
SO	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2105	1.7950938	8450.82229	9.0235868	2000-2009 –> 2010-2019	3.4871545	16551.6570
SO	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2105	1.7950938	8450.82229	9.0235868	2000-2009 –> 2010-2019	3.4871545	16551.6570
SO	(27.25,27.5]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2105	1.7989215	8459.78984	9.4176821	2000-2009 –> 2010-2019	3.4916327	16562.2227
SO	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2105	1.7989215	8459.78984	9.4176821	2000-2009 –> 2010-2019	3.4916327	16562.2227
SO	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2105	1.7989215	8459.78984	9.4176821	2000-2009 –> 2010-2019	3.4916327	16562.2227
SO	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + silicate + phosphate_star	2105	1.7995239	8459.19935	9.3914773	2000-2009 –> 2010-2019	3.4926892	16560.7476
SO	(27.25,27.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2105	1.7995239	8459.19935	9.3914773	2000-2009 –> 2010-2019	3.4926892	16560.7476
SO	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2601	1.5124249	9547.45967	9.0019142	1982-1999 –> 2000-2009	2.7951205	24722.6923
SO	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2601	1.5124249	9547.45967	9.0019142	1982-1999 –> 2000-2009	2.7951205	24722.6923
SO	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2601	1.5124249	9547.45967	9.0019142	1982-1999 –> 2000-2009	2.7951205	24722.6923
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2601	1.5120031	9546.00893	8.9974741	1982-1999 –> 2000-2009	2.7939554	24715.9721
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2601	1.5114477	9544.09749	8.9368563	1982-1999 –> 2000-2009	2.7962959	24734.5719
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	2601	1.5135412	9551.29784	8.5284567	1982-1999 –> 2000-2009	2.7966624	24729.5457
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	2601	1.5135412	9551.29784	8.5284567	1982-1999 –> 2000-2009	2.7966624	24729.5457
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2601	1.5110908	9542.86902	8.9496506	1982-1999 –> 2000-2009	2.7947346	24724.8184
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2601	1.5110908	9542.86902	8.9496506	1982-1999 –> 2000-2009	2.7947346	24724.8184
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2601	1.5110908	9542.86902	8.9496506	1982-1999 –> 2000-2009	2.7947346	24724.8184
SO	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	2611	1.6788083	10127.13265	10.0056225	2000-2009 –> 2010-2019	3.1932582	19679.5528
SO	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2611	1.6787747	10129.02804	9.9982436	2000-2009 –> 2010-2019	3.1911995	19676.4877
SO	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2611	1.6787747	10129.02804	9.9982436	2000-2009 –> 2010-2019	3.1911995	19676.4877
SO	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2611	1.6787747	10129.02804	9.9982436	2000-2009 –> 2010-2019	3.1911995	19676.4877
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2611	1.6787413	10128.92436	9.9962596	2000-2009 –> 2010-2019	3.1907445	19674.9333
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2611	1.6823563	10140.15727	9.9723611	2000-2009 –> 2010-2019	3.1938040	19684.2548
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	2611	1.6893721	10161.88883	9.1148536	2000-2009 –> 2010-2019	3.2029133	19713.1867
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2611	1.6805539	10134.55969	9.9694871	2000-2009 –> 2010-2019	3.1916447	19677.4287
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2611	1.6805539	10134.55969	9.9694871	2000-2009 –> 2010-2019	3.1916447	19677.4287
SO	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2611	1.6805539	10134.55969	9.9694871	2000-2009 –> 2010-2019	3.1916447	19677.4287
SO	(27.75,27.85]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1063	1.4972227	3888.74214	13.2525930	1982-1999 –> 2000-2009	2.7865423	9942.4640
SO	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1063	1.4972227	3888.74214	13.2525930	1982-1999 –> 2000-2009	2.7865423	9942.4640
SO	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1063	1.4972227	3888.74214	13.2525930	1982-1999 –> 2000-2009	2.7865423	9942.4640
SO	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1063	1.5005051	3893.39792	13.2793315	1982-1999 –> 2000-2009	2.7968822	9966.8264
SO	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1063	1.5064877	3901.85759	13.3869169	1982-1999 –> 2000-2009	2.8094992	9993.7137
SO	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1063	1.5078879	3903.83267	13.3973812	1982-1999 –> 2000-2009	2.8123030	9999.5752
SO	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1063	1.5078879	3903.83267	13.3973812	1982-1999 –> 2000-2009	2.8123030	9999.5752
SO	(27.75,27.85]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1063	1.5173707	3917.16071	13.6199882	1982-1999 –> 2000-2009	2.7905325	9925.3562
SO	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1063	1.5173707	3917.16071	13.6199882	1982-1999 –> 2000-2009	2.7905325	9925.3562
SO	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1063	1.5173707	3917.16071	13.6199882	1982-1999 –> 2000-2009	2.7905325	9925.3562
SO	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1074	1.5168081	3954.75441	8.7479444	2000-2009 –> 2010-2019	3.0398250	7877.8113
SO	(27.75,27.85]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1074	1.4934056	3923.35503	8.6482567	2000-2009 –> 2010-2019	2.9906283	7812.0972
SO	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1074	1.4934056	3923.35503	8.6482567	2000-2009 –> 2010-2019	2.9906283	7812.0972
SO	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1074	1.4934056	3923.35503	8.6482567	2000-2009 –> 2010-2019	2.9906283	7812.0972
SO	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1074	1.4949782	3925.61578	8.6274829	2000-2009 –> 2010-2019	2.9954833	7819.0137
SO	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1074	1.4976477	3929.44790	8.6079647	2000-2009 –> 2010-2019	3.0041354	7831.3055
SO	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1074	1.4980101	3929.96762	8.5884951	2000-2009 –> 2010-2019	3.0058980	7833.8003
SO	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1074	1.4980101	3929.96762	8.5884951	2000-2009 –> 2010-2019	3.0058980	7833.8003
SO	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1074	1.4980101	3929.96762	8.5884951	2000-2009 –> 2010-2019	3.0058980	7833.8003
SO	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1074	1.5018018	3933.39759	8.3057567	2000-2009 –> 2010-2019	3.0251082	7856.8587
SO	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1051	1.4608005	3793.23432	9.4318823	1982-1999 –> 2000-2009	2.8757886	10352.2514
SO	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + silicate	1051	1.4608538	3791.31110	9.3776506	1982-1999 –> 2000-2009	2.8867059	10376.6735
SO	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1051	1.4608005	3793.23432	9.4318823	1982-1999 –> 2000-2009	2.8757886	10352.2514
SO	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1051	1.4608005	3793.23432	9.4318823	1982-1999 –> 2000-2009	2.8757886	10352.2514
SO	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1051	1.4295428	3747.76837	7.1828039	1982-1999 –> 2000-2009	2.7687341	10102.7508
SO	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1051	1.4868959	3830.45250	9.6426199	1982-1999 –> 2000-2009	2.9280660	10457.4163
SO	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1051	1.4859026	3829.04795	9.8278147	1982-1999 –> 2000-2009	2.9315191	10467.4281
SO	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1051	1.4295428	3747.76837	7.1828039	1982-1999 –> 2000-2009	2.7687341	10102.7508
SO	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1051	1.4295428	3747.76837	7.1828039	1982-1999 –> 2000-2009	2.7687341	10102.7508
SO	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + silicate	1051	1.2693119	3497.88310	7.5336532	1982-1999 –> 2000-2009	2.5305524	9630.6163
SO	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1057	1.5471283	3936.18670	10.5380499	2000-2009 –> 2010-2019	3.0079287	7729.4210
SO	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1057	1.5471283	3936.18670	10.5380499	2000-2009 –> 2010-2019	3.0079287	7729.4210
SO	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1057	1.5638286	3958.88379	7.9828119	2000-2009 –> 2010-2019	2.9933714	7706.6522
SO	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1057	1.5638286	3958.88379	7.9828119	2000-2009 –> 2010-2019	2.9933714	7706.6522
SO	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1057	1.5638286	3958.88379	7.9828119	2000-2009 –> 2010-2019	2.9933714	7706.6522
SO	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + aou + silicate	1057	1.4512954	3801.00925	8.9638725	2000-2009 –> 2010-2019	2.7206073	7298.8923
SO	(27.85,27.95]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1057	1.5031488	3875.22234	9.0444242	2000-2009 –> 2010-2019	2.9387172	7631.8320
SO	(27.85,27.95]	4	cstar_tref ~ temp + oxygen + aou + silicate	1057	1.5095207	3882.16472	9.5647645	2000-2009 –> 2010-2019	2.9953180	7709.0637
SO	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1057	1.5031488	3875.22234	9.0444242	2000-2009 –> 2010-2019	2.9387172	7631.8320
SO	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1057	1.5031488	3875.22234	9.0444242	2000-2009 –> 2010-2019	2.9387172	7631.8320
SO	(27.95,28.05]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1365	1.7865409	5469.87008	10.1040513	1982-1999 –> 2000-2009	3.2737828	14513.9672
SO	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1365	1.7813097	5463.86463	9.6564982	1982-1999 –> 2000-2009	3.2530261	14457.7645
SO	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + phosphate	1365	1.7865409	5469.87008	10.1040513	1982-1999 –> 2000-2009	3.2737828	14513.9672
SO	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1365	1.7865409	5469.87008	10.1040513	1982-1999 –> 2000-2009	3.2737828	14513.9672
SO	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1365	1.7813097	5463.86463	9.6564982	1982-1999 –> 2000-2009	3.2530261	14457.7645
SO	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1365	1.7813097	5463.86463	9.6564982	1982-1999 –> 2000-2009	3.2530261	14457.7645
SO	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1365	1.5883931	5150.93562	8.9956577	1982-1999 –> 2000-2009	2.9015432	13577.7972
SO	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1365	1.5883931	5150.93562	8.9956577	1982-1999 –> 2000-2009	2.9015432	13577.7972
SO	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1365	1.5883931	5150.93562	8.9956577	1982-1999 –> 2000-2009	2.9015432	13577.7972
SO	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + aou + silicate	1365	1.5966668	5165.11890	7.5938364	1982-1999 –> 2000-2009	2.9099151	13592.3524
SO	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1407	1.7137009	5522.66907	8.7326955	2000-2009 –> 2010-2019	3.4950106	10986.5337
SO	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + silicate	1407	1.7137539	5520.75608	8.7331470	2000-2009 –> 2010-2019	3.5163605	11015.0664
SO	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1407	1.7137009	5522.66907	8.7326955	2000-2009 –> 2010-2019	3.4950106	10986.5337
SO	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1407	1.7137009	5522.66907	8.7326955	2000-2009 –> 2010-2019	3.4950106	10986.5337
SO	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1407	1.6202542	5364.88176	8.4052013	2000-2009 –> 2010-2019	3.2086473	10515.8174
SO	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1407	1.7291299	5547.89097	8.7967553	2000-2009 –> 2010-2019	3.5288250	11039.7884
SO	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1407	1.6202542	5364.88176	8.4052013	2000-2009 –> 2010-2019	3.2086473	10515.8174
SO	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1407	1.6202542	5364.88176	8.4052013	2000-2009 –> 2010-2019	3.2086473	10515.8174
SO	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + aou + silicate	1407	1.5626074	5262.93833	8.0974738	2000-2009 –> 2010-2019	3.1592742	10428.0572
SO	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1407	1.7284320	5546.75497	8.7973097	2000-2009 –> 2010-2019	3.5291810	11040.2506
SO	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	821	1.2215427	2672.48525	10.0765460	1982-1999 –> 2000-2009	2.3047202	7224.9647
SO	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate	821	1.2219116	2670.98100	10.1026904	1982-1999 –> 2000-2009	2.3077347	7228.8472
SO	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	821	1.2219116	2670.98100	10.1026904	1982-1999 –> 2000-2009	2.3077347	7228.8472
SO	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	821	1.2219116	2670.98100	10.1026904	1982-1999 –> 2000-2009	2.3077347	7228.8472
SO	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	821	1.2215427	2672.48525	10.0765460	1982-1999 –> 2000-2009	2.3047202	7224.9647
SO	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	821	1.2215427	2672.48525	10.0765460	1982-1999 –> 2000-2009	2.3047202	7224.9647
SO	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	821	1.0794689	2469.45940	8.9454724	1982-1999 –> 2000-2009	2.0377115	6650.8481
SO	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	821	1.0794689	2469.45940	8.9454724	1982-1999 –> 2000-2009	2.0377115	6650.8481
SO	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	821	1.0794689	2469.45940	8.9454724	1982-1999 –> 2000-2009	2.0377115	6650.8481
SO	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + aou + silicate	821	1.1065209	2510.10156	9.2323317	1982-1999 –> 2000-2009	2.1077960	6824.5059
SO	(28.05,28.1]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	856	1.3172094	2912.90520	11.1410627	2000-2009 –> 2010-2019	2.5391210	5583.8862
SO	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	856	1.3161849	2913.57312	11.2565409	2000-2009 –> 2010-2019	2.5377277	5586.0584
SO	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate	856	1.3172094	2912.90520	11.1410627	2000-2009 –> 2010-2019	2.5391210	5583.8862
SO	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	856	1.3172094	2912.90520	11.1410627	2000-2009 –> 2010-2019	2.5391210	5583.8862
SO	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	856	1.3161849	2913.57312	11.2565409	2000-2009 –> 2010-2019	2.5377277	5586.0584
SO	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	856	1.3161849	2913.57312	11.2565409	2000-2009 –> 2010-2019	2.5377277	5586.0584
SO	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	856	1.1354389	2660.67971	9.9994904	2000-2009 –> 2010-2019	2.2149077	5130.1391
SO	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	856	1.1354389	2660.67971	9.9994904	2000-2009 –> 2010-2019	2.2149077	5130.1391
SO	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	856	1.1354389	2660.67971	9.9994904	2000-2009 –> 2010-2019	2.2149077	5130.1391
SO	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + aou + silicate	856	1.1581430	2694.57494	10.6705069	2000-2009 –> 2010-2019	2.2646639	5204.6765
SO	(28.1, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4069	1.0886453	12252.51507	6.0780739	1982-1999 –> 2000-2009	2.0677264	32839.3027
SO	(28.1, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	4069	1.0886459	12250.51991	6.0758449	1982-1999 –> 2000-2009	2.0780008	32988.9430
SO	(28.1, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	4069	1.0886453	12252.51507	6.0780739	1982-1999 –> 2000-2009	2.0677264	32839.3027
SO	(28.1, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	4069	1.0886453	12252.51507	6.0780739	1982-1999 –> 2000-2009	2.0677264	32839.3027
SO	(28.1, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4069	1.0887967	12253.64726	6.0759262	1982-1999 –> 2000-2009	2.0680008	32842.2832
SO	(28.1, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4069	1.0886459	12252.51946	6.0765232	1982-1999 –> 2000-2009	2.0678017	32840.4302
SO	(28.1, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4069	1.0887276	12253.13044	6.0757358	1982-1999 –> 2000-2009	2.0679455	32841.9738
SO	(28.1, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4069	1.0887276	12253.13044	6.0757358	1982-1999 –> 2000-2009	2.0679455	32841.9738
SO	(28.1, Inf]	4	cstar_tref ~ sal + temp + silicate + phosphate	4069	1.1021587	12350.91095	6.2789653	1982-1999 –> 2000-2009	2.0824678	32954.1462
SO	(28.1, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4069	1.0887276	12253.13044	6.0757358	1982-1999 –> 2000-2009	2.0679455	32841.9738
SO	(28.1, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3951	1.1776558	12518.63386	6.1193967	2000-2009 –> 2010-2019	2.2663011	24771.1489
SO	(28.1, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	3951	1.1785273	12522.47882	6.1357060	2000-2009 –> 2010-2019	2.2671732	24772.9987
SO	(28.1, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	3951	1.1776558	12518.63386	6.1193967	2000-2009 –> 2010-2019	2.2663011	24771.1489
SO	(28.1, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	3951	1.1776558	12518.63386	6.1193967	2000-2009 –> 2010-2019	2.2663011	24771.1489
SO	(28.1, Inf]	4	cstar_tref ~ sal + oxygen + silicate + phosphate_star	3951	1.1791229	12526.47187	6.0728150	2000-2009 –> 2010-2019	2.2728847	24815.1449
SO	(28.1, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3951	1.1776647	12518.69301	6.1209768	2000-2009 –> 2010-2019	2.2664614	24772.3403
SO	(28.1, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3951	1.1776555	12518.63152	6.1190463	2000-2009 –> 2010-2019	2.2663013	24771.1510
SO	(28.1, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3951	1.1776571	12518.64231	6.1198281	2000-2009 –> 2010-2019	2.2663847	24771.7727
SO	(28.1, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3951	1.1776571	12518.64231	6.1198281	2000-2009 –> 2010-2019	2.2663847	24771.7727
SO	(28.1, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3951	1.1776571	12518.64231	6.1198281	2000-2009 –> 2010-2019	2.2663847	24771.7727
SO	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	317	0.4547179	413.96550	1.7741564	1982-1999 –> 2000-2009	0.8957964	1053.5888
SO	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	317	0.4547179	413.96550	1.7741564	1982-1999 –> 2000-2009	0.8957964	1053.5888
SO	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	317	0.4547179	413.96550	1.7741564	1982-1999 –> 2000-2009	0.8957964	1053.5888
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	317	0.4639146	426.66030	1.2548642	1982-1999 –> 2000-2009	0.8906753	1031.8981
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	317	0.4561192	415.91631	1.7832667	1982-1999 –> 2000-2009	0.8984502	1058.4943
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	317	0.4639146	426.66030	1.2548642	1982-1999 –> 2000-2009	0.8906753	1031.8981
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	317	0.4639146	426.66030	1.2548642	1982-1999 –> 2000-2009	0.8906753	1031.8981
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	317	0.4564835	416.42255	1.7865125	1982-1999 –> 2000-2009	0.8993671	1060.3014
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	317	0.4564835	416.42255	1.7865125	1982-1999 –> 2000-2009	0.8993671	1060.3014
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	317	0.4564835	416.42255	1.7865125	1982-1999 –> 2000-2009	0.8993671	1060.3014
SO	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	287	0.4979308	428.22387	2.3615801	2000-2009 –> 2010-2019	0.9526487	842.1894
SO	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	287	0.4979308	428.22387	2.3615801	2000-2009 –> 2010-2019	0.9526487	842.1894
SO	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	287	0.4979308	428.22387	2.3615801	2000-2009 –> 2010-2019	0.9526487	842.1894
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	287	0.4818540	409.38527	1.9666708	2000-2009 –> 2010-2019	0.9457687	836.0456
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	287	0.4999288	430.52249	2.3676812	2000-2009 –> 2010-2019	0.9560480	846.4388
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	287	0.4818540	409.38527	1.9666708	2000-2009 –> 2010-2019	0.9457687	836.0456
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	287	0.4818540	409.38527	1.9666708	2000-2009 –> 2010-2019	0.9457687	836.0456
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + aou + silicate	287	0.4976221	427.86790	2.0262089	2000-2009 –> 2010-2019	0.9446416	831.0078
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	287	0.5001975	430.83093	2.3678715	2000-2009 –> 2010-2019	0.9566810	847.2535
SO	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	287	0.5001975	430.83093	2.3678715	2000-2009 –> 2010-2019	0.9566810	847.2535
SO	(28.15,28.2]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	293	0.2980246	136.09844	1.1340674	1982-1999 –> 2000-2009	0.6050153	383.8152
SO	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	293	0.2980246	136.09844	1.1340674	1982-1999 –> 2000-2009	0.6050153	383.8152
SO	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	293	0.2980246	136.09844	1.1340674	1982-1999 –> 2000-2009	0.6050153	383.8152
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	293	0.2821000	103.91863	0.9175573	1982-1999 –> 2000-2009	0.5841709	335.7706
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	293	0.2990338	138.07956	1.1376935	1982-1999 –> 2000-2009	0.6066583	387.8214
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	293	0.2821000	103.91863	0.9175573	1982-1999 –> 2000-2009	0.5841709	335.7706
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	293	0.2821000	103.91863	0.9175573	1982-1999 –> 2000-2009	0.5841709	335.7706
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	293	0.2995740	139.13712	1.1402694	1982-1999 –> 2000-2009	0.6076711	390.3867
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	293	0.2995740	139.13712	1.1402694	1982-1999 –> 2000-2009	0.6076711	390.3867
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	293	0.2995740	139.13712	1.1402694	1982-1999 –> 2000-2009	0.6076711	390.3867
SO	(28.15,28.2]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	275	0.3282835	181.78341	0.7568624	2000-2009 –> 2010-2019	0.6263080	317.8819
SO	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	275	0.3282835	181.78341	0.7568624	2000-2009 –> 2010-2019	0.6263080	317.8819
SO	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	275	0.3282835	181.78341	0.7568624	2000-2009 –> 2010-2019	0.6263080	317.8819
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	275	0.3228494	172.60312	1.1390242	2000-2009 –> 2010-2019	0.6049494	276.5217
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	275	0.3289921	182.96942	0.7578947	2000-2009 –> 2010-2019	0.6280259	321.0490
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate	275	0.3228494	172.60312	1.1390242	2000-2009 –> 2010-2019	0.6049494	276.5217
SO	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	275	0.3228494	172.60312	1.1390242	2000-2009 –> 2010-2019	0.6049494	276.5217
SO	(28.15,28.2]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	275	0.3293587	183.58191	1.1533303	2000-2009 –> 2010-2019	0.6281694	321.2240
SO	(28.15,28.2]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	275	0.3293587	183.58191	1.1533303	2000-2009 –> 2010-2019	0.6281694	321.2240
SO	(28.15,28.2]	5	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	275	0.3293587	183.58191	1.1533303	2000-2009 –> 2010-2019	0.6281694	321.2240
SO	(28.2, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	1351	0.4066359	1414.61191	1.6107249	1982-1999 –> 2000-2009	0.7518396	3183.3035
SO	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1351	0.3902633	1305.56908	2.0860609	1982-1999 –> 2000-2009	0.7153295	2779.0978
SO	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1351	0.3902633	1305.56908	2.0860609	1982-1999 –> 2000-2009	0.7153295	2779.0978
SO	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1351	0.3902633	1305.56908	2.0860609	1982-1999 –> 2000-2009	0.7153295	2779.0978
SO	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + silicate + phosphate	1351	0.4316961	1576.20192	2.7843809	1982-1999 –> 2000-2009	0.7992455	3654.9961
SO	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1351	0.3904765	1307.04460	2.0836133	1982-1999 –> 2000-2009	0.7157890	2784.3192
SO	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1351	0.3895023	1300.29537	2.0802501	1982-1999 –> 2000-2009	0.7138378	2762.6982
SO	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1351	0.3898622	1302.79082	2.0816873	1982-1999 –> 2000-2009	0.7145083	2769.9266
SO	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1351	0.3898622	1302.79082	2.0816873	1982-1999 –> 2000-2009	0.7145083	2769.9266
SO	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1351	0.3898622	1302.79082	2.0816873	1982-1999 –> 2000-2009	0.7145083	2769.9266
SO	(28.2, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	1392	0.4411744	1684.13616	2.0843878	2000-2009 –> 2010-2019	0.8478103	3098.7481
SO	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1392	0.4153073	1517.92209	2.5374216	2000-2009 –> 2010-2019	0.8055705	2823.4912
SO	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1392	0.4153073	1517.92209	2.5374216	2000-2009 –> 2010-2019	0.8055705	2823.4912
SO	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1392	0.4153073	1517.92209	2.5374216	2000-2009 –> 2010-2019	0.8055705	2823.4912
SO	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + silicate + phosphate	1392	0.4431801	1696.76415	2.9494407	2000-2009 –> 2010-2019	0.8748763	3272.9661
SO	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1392	0.4155692	1519.67751	2.5354211	2000-2009 –> 2010-2019	0.8060457	2826.7221
SO	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1392	0.4146245	1513.34126	2.5341271	2000-2009 –> 2010-2019	0.8041268	2813.6366
SO	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1392	0.4149904	1515.79740	2.5348725	2000-2009 –> 2010-2019	0.8048526	2818.5882
SO	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1392	0.4149904	1515.79740	2.5348725	2000-2009 –> 2010-2019	0.8048526	2818.5882
SO	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1392	0.4149904	1515.79740	2.5348725	2000-2009 –> 2010-2019	0.8048526	2818.5882

5.3.2 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	2.3714294	1094.8156
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	2.1955525	721.2481
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	7.2135565	12592.3569
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	7.2717676	8707.8131
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	6.1834593	14610.9515
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	6.6499661	10528.4793
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	3.7042903	17375.1813
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	4.4446088	14445.2789
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	3.6731573	14205.9381
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	4.3468089	11872.3485
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.0497757	16341.3195
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	6.2081984	12876.7082
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	4.4995670	19620.9914
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	4.8891226	14792.1289
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	3.2815022	5810.5484
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	3.2636905	4171.5846
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	5.4621021	7216.1759
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	5.6049898	5466.0260
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	6.9351641	8361.8743
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	6.0489682	5627.0058
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	0.3217462	-965.0045
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	0.4261364	-147.2213
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	0.2744219	-1320.0600
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	0.2796164	-882.7332
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	0.6777350	1968.7702
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	0.6498849	1069.4342
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	0.8799342	2523.7896
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	0.8491502	1635.6670
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	12.7554619	73828.5456
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	12.2510702	52392.7852
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	8.9655531	68451.8900
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	9.2940874	49101.0753
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	7.8184882	51323.0810
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	8.2065167	37342.0575
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	7.6934796	53936.5938
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	8.6144855	40438.6313
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	6.4754731	46558.5977
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	7.7822086	36677.1141
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	5.9538868	37171.6453
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.4558649	27978.7439
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	3.4836895	27261.8842
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	3.9697255	20415.3186
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	2.5934551	8670.7671
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	2.7777810	6687.8114
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.5492054	12794.6982
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	2.8095502	9815.5233
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	1.1217263	4349.5527
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	1.1785663	3251.4224
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	0.9116531	2945.0182
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	0.9255052	2076.8635
Indo-Pacific	(28.1, Inf]	1982-1999 –> 2000-2009	1.5382433	46496.6067
Indo-Pacific	(28.1, Inf]	2000-2009 –> 2010-2019	1.5516873	33609.5777
SO	(26,26.5]	1982-1999 –> 2000-2009	6.2600189	1096.5310
SO	(26,26.5]	2000-2009 –> 2010-2019	5.9494640	779.1747
SO	(26.5,26.75]	1982-1999 –> 2000-2009	6.7533004	3609.3838
SO	(26.5,26.75]	2000-2009 –> 2010-2019	6.5727232	2346.5617
SO	(26.75,27]	1982-1999 –> 2000-2009	4.8113639	10765.9800
SO	(26.75,27]	2000-2009 –> 2010-2019	4.7368052	7375.2260
SO	(27,27.25]	1982-1999 –> 2000-2009	3.2550307	20802.0154
SO	(27,27.25]	2000-2009 –> 2010-2019	3.5559717	15125.0077
SO	(27.25,27.5]	1982-1999 –> 2000-2009	3.1320744	21681.9048
SO	(27.25,27.5]	2000-2009 –> 2010-2019	3.4898970	16557.3570
SO	(27.5,27.75]	1982-1999 –> 2000-2009	2.7953141	24725.2167
SO	(27.5,27.75]	2000-2009 –> 2010-2019	3.1929252	19681.3677
SO	(27.75,27.85]	1982-1999 –> 2000-2009	2.7962212	9956.3151
SO	(27.75,27.85]	2000-2009 –> 2010-2019	3.0054131	7832.2682
SO	(27.85,27.95]	1982-1999 –> 2000-2009	2.8210412	10229.7141
SO	(27.85,27.95]	2000-2009 –> 2010-2019	2.9528049	7648.2251
SO	(27.95,28.05]	1982-1999 –> 2000-2009	3.1194971	14124.0939
SO	(27.95,28.05]	2000-2009 –> 2010-2019	3.3844614	10803.0216
SO	(28.05,28.1]	1982-1999 –> 2000-2009	2.2058295	7013.8486
SO	(28.05,28.1]	2000-2009 –> 2010-2019	2.4139933	5410.4928
SO	(28.1, Inf]	1982-1999 –> 2000-2009	2.0703287	32866.9632
SO	(28.1, Inf]	2000-2009 –> 2010-2019	2.2670878	24776.0400
SO	(28.1,28.15]	1982-1999 –> 2000-2009	0.8955967	1049.5859
SO	(28.1,28.15]	2000-2009 –> 2010-2019	0.9509304	840.6658
SO	(28.15,28.2]	1982-1999 –> 2000-2009	0.5997230	371.7739
SO	(28.15,28.2]	2000-2009 –> 2010-2019	0.6206306	306.7932
SO	(28.2, Inf]	1982-1999 –> 2000-2009	0.7270225	2903.2390
SO	(28.2, Inf]	2000-2009 –> 2010-2019	0.8164129	2893.8311

5.4 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)

5.5 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/

5.6 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)

5.7 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

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")

Past versions of eMLR_predictor_model_quality_all-1.png

Version	Author	Date
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
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
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
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
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
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

6.1.2 Best models

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")

Past versions of eMLR_predictor_model_quality_best-1.png

Version	Author	Date
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

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
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
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	oxygen	phosphate	phosphate_star	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	10	7	7	6	10	3	3
(26,26.5]	6	5	5	6	10	10	7
(26.5,26.75]	8	5	6	7	7	10	7
(26.75,27]	10	7	7	5	4	10	4
(27,27.25]	7	4	7	6	10	9	6
(27.25,27.5]	10	7	7	6	10	3	3
(27.5,27.75]	4	6	7	6	10	4	10
(27.75,27.85]	10	6	7	6	7	7	7
(27.85,27.95]	10	7	7	6	3	10	3
(27.95,28.05]	4	6	6	7	4	10	10
(28.05,28.1]	10	6	8	5	4	10	4
(28.1,28.15]	7	6	6	6	8	10	7
(28.15,28.2]	6	5	6	6	9	10	7
(28.2, Inf]	6	4	6	6	10	10	6
total	108.00	81.00	92.00	84.00	106.00	116.00	84.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	5	7	6	10	8	7
(26,26.5]	5	4	6	6	10	10	7
(26.5,26.75]	8	5	6	7	7	10	7
(26.75,27]	9	4	7	6	7	10	6
(27,27.25]	7	4	6	6	10	10	5
(27.25,27.5]	10	5	8	5	10	5	4
(27.5,27.75]	5	5	5	8	10	4	10
(27.75,27.85]	10	6	8	5	10	4	4
(27.85,27.95]	10	7	7	6	3	10	3
(27.95,28.05]	4	6	6	7	4	10	10
(28.05,28.1]	10	7	7	6	10	3	3
(28.1,28.15]	7	6	6	6	10	8	7
(28.15,28.2]	6	4	6	7	9	10	7
(28.2, Inf]	6	5	5	7	10	9	7
total	104.00	73.00	90.00	88.00	120.00	111.00	87.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	10	7	7	6	10	3	3
(26,26.5]	7	5	6	7	8	10	7
(26.5,26.75]	10	7	7	5	4	10	4
(26.75,27]	10	7	7	6	3	3	10
(27,27.25]	10	7	7	6	3	3	10
(27.25,27.5]	7	6	7	6	7	10	7
(27.5,27.75]	6	5	6	6	10	10	5
(27.75,27.85]	10	7	7	6	3	3	10
(27.85,27.95]	10	7	6	6	7	7	7
(27.95,28.05]	8	5	6	7	7	10	7
(28.05,28.1]	8	5	6	7	7	10	7
(28.1, Inf]	7	6	6	6	8	10	7
total	103.00	74.00	78.00	74.00	77.00	89.00	84.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	10	7	7	6	10	3	3
(26,26.5]	7	6	6	6	8	10	7
(26.5,26.75]	10	7	7	6	3	10	3
(26.75,27]	10	7	7	6	3	3	10
(27,27.25]	10	7	7	6	3	3	10
(27.25,27.5]	7	6	7	6	7	10	7
(27.5,27.75]	6	5	6	6	10	10	5
(27.75,27.85]	10	6	7	7	6	6	7
(27.85,27.95]	10	6	5	5	10	7	6
(27.95,28.05]	8	6	6	6	7	10	7
(28.05,28.1]	8	6	6	6	7	10	7
(28.1, Inf]	8	5	6	7	7	10	7
total	104.00	74.00	77.00	73.00	81.00	92.00	79.00
SO - 1982-1999 --> 2000-2009
(26,26.5]	7	5	7	6	7	8	10
(26.5,26.75]	10	7	7	6	3	3	10
(26.75,27]	10	7	7	6	3	3	10
(27,27.25]	10	7	7	6	3	3	10
(27.25,27.5]	5	5	5	8	4	10	10
(27.5,27.75]	7	6	6	6	10	8	7
(27.75,27.85]	8	5	6	7	7	10	7
(27.85,27.95]	10	6	5	5	10	7	6
(27.95,28.05]	10	7	6	6	10	4	4
(28.05,28.1]	10	8	6	5	10	4	4
(28.1, Inf]	6	4	6	6	10	10	6
(28.1,28.15]	7	6	7	6	10	7	7
(28.15,28.2]	7	6	7	6	10	7	7
(28.2, Inf]	6	5	7	5	10	10	5
total	113.00	84.00	89.00	84.00	107.00	94.00	103.00
SO - 2000-2009 --> 2010-2019
(26,26.5]	6	5	6	6	9	10	7
(26.5,26.75]	7	6	6	7	7	7	10
(26.75,27]	10	7	7	6	3	3	10
(27,27.25]	10	7	7	6	3	3	10
(27.25,27.5]	5	5	6	7	5	10	10
(27.5,27.75]	7	5	7	5	10	9	6
(27.75,27.85]	6	4	6	6	10	10	6
(27.85,27.95]	10	7	6	5	6	7	8
(27.95,28.05]	9	7	5	5	10	7	6
(28.05,28.1]	10	7	7	5	10	4	4
(28.1, Inf]	6	5	5	7	10	10	5
(28.1,28.15]	8	6	7	5	10	7	7
(28.15,28.2]	10	6	7	6	7	7	7
(28.2, Inf]	6	5	7	5	10	10	5
total	110.00	82.00	89.00	81.00	110.00	104.00	101.00

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
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
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] gt_0.2.2         corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] 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                car_3.0-10               magrittr_2.0.1          
[43] Matrix_1.2-18            Rcpp_1.0.5               munsell_0.5.0           
[46] fansi_0.4.1              abind_1.4-5              lifecycle_0.2.0         
[49] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[52] carData_3.0-4            plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.2
[67] data.table_1.13.6        modelr_0.1.8             vctrs_0.3.6             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.20               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.9.1      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_1.0.1