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1 Required data

Required are:

  • cleaned and prepared GLODAP-based synthetic model subsetting file
GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

  • sal, temp, aou, nitrate, silicate, phosphate, phosphate_star
# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove certain predictor combinations
# lm_rm_ph <- lm_all %>%
#   filter(str_detect(lm_coeff, "phosphate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
#   filter(
#     str_detect(lm_coeff_filter, "oxygen") &
#       str_detect(lm_coeff_filter, "phosphate")
#   )

# lm_rm_si <- lm_all %>%
#   filter(str_detect(lm_coeff, "silicate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "silicate_star")) %>%
#   filter(str_detect(lm_coeff_filter, "silicate"))

# lm_rm_o2 <- lm_all %>%
#   filter(str_detect(lm_coeff, "phosphate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
#   filter(
#     str_detect(lm_coeff_filter, "phosphate") &
#       str_detect(lm_coeff_filter, "oxygen")
#   )

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

# lm_rm <- lm_rm_ph %>%
#   select(-lm_coeff_filter) %>%
#   unique()
# 
# lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

  • Minimum: 2
  • Maximum: 7
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:

  • 64

4 Fit all models

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

  • cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

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

5.3 VIF threshold

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

  • 10

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

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

lm_all_fitted_wide_check <- lm_all_fitted_wide %>%
  group_by(era, basin, gamma_slab) %>% 
  count() %>% 
  filter(n < params_local$MLR_number)
# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide %>%
  select(basin, gamma_slab, n_predictors, model, era, nr_obs, rmse, aic, 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() %>%
  filter(eras != "1982-1999 --> 2010-2019")

# 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)
}

5.4 RMSE tables

5.4.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab n_predictors model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 123 1.5287822 465.4789 6.140581 1982-1999 –> 2000-2009 3.2184838 1285.9709
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + nitrate + silicate 123 1.7270617 495.4786 8.088686 1982-1999 –> 2000-2009 3.5553870 1348.7716
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 123 1.5240065 466.7092 5.792532 1982-1999 –> 2000-2009 3.2097663 1288.2296
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 123 1.0373298 370.0748 4.024648 1982-1999 –> 2000-2009 2.3736782 1092.9686
Atlantic (-Inf,26] 3 cstar_tref ~ sal + aou + phosphate_star 123 1.6642675 484.3676 4.903697 1982-1999 –> 2000-2009 3.5442821 1347.2583
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 123 1.0372836 372.0638 4.010956 1982-1999 –> 2000-2009 2.3729762 1096.7534
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 123 1.5271323 465.2132 5.466863 1982-1999 –> 2000-2009 3.2488990 1293.5256
Atlantic (-Inf,26] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 123 1.5836465 474.1525 7.041426 1982-1999 –> 2000-2009 3.2870948 1298.0152
Atlantic (-Inf,26] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 123 1.4327537 449.5201 6.532896 1982-1999 –> 2000-2009 3.0950239 1263.2031
Atlantic (-Inf,26] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 123 1.4210216 449.4974 6.176266 1982-1999 –> 2000-2009 3.0825101 1264.9848
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 107 1.7330186 433.3239 4.839741 2000-2009 –> 2010-2019 3.2618008 898.8028
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + nitrate + silicate 107 1.8992117 452.9208 6.441030 2000-2009 –> 2010-2019 3.6262734 948.3993
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 107 1.7005398 431.2752 3.940391 2000-2009 –> 2010-2019 3.2245463 897.9844
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 107 1.2078500 356.0650 3.540525 2000-2009 –> 2010-2019 2.2451798 726.1398
Atlantic (-Inf,26] 3 cstar_tref ~ sal + aou + phosphate_star 107 1.7920357 438.4902 4.927727 2000-2009 –> 2010-2019 3.4563033 922.8578
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 107 1.1371667 345.1604 3.199051 2000-2009 –> 2010-2019 2.1744503 717.2242
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 107 1.7114293 430.6412 4.417710 2000-2009 –> 2010-2019 3.2385616 895.8545
Atlantic (-Inf,26] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 107 1.8013409 441.5986 5.675129 2000-2009 –> 2010-2019 3.3849874 915.7510
Atlantic (-Inf,26] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 107 1.5675559 411.8496 6.238842 2000-2009 –> 2010-2019 3.0003097 861.3697
Atlantic (-Inf,26] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 107 1.5143272 406.4567 5.594427 2000-2009 –> 2010-2019 2.9353488 855.9541
Atlantic (26,26.5] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 821 4.6094720 4851.0591 12.755995 1982-1999 –> 2000-2009 9.0427861 13732.7213
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 821 3.5428368 4420.9085 13.548854 1982-1999 –> 2000-2009 6.9895818 12536.8334
Atlantic (26,26.5] 3 cstar_tref ~ temp + aou + nitrate 821 4.5316838 4821.1127 12.297453 1982-1999 –> 2000-2009 9.0440881 13754.7071
Atlantic (26,26.5] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 821 4.2213467 4706.6303 10.492143 1982-1999 –> 2000-2009 8.3797598 13393.0501
Atlantic (26,26.5] 4 cstar_tref ~ temp + aou + nitrate + silicate 821 4.0407192 4634.8231 12.280404 1982-1999 –> 2000-2009 8.1250955 13266.4512
Atlantic (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 821 4.0303362 4632.5984 12.844322 1982-1999 –> 2000-2009 8.1119922 13264.1944
Atlantic (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate 821 4.5613387 4833.8228 12.457315 1982-1999 –> 2000-2009 8.9538361 13687.2740
Atlantic (26,26.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 821 4.3237117 4747.9726 13.117377 1982-1999 –> 2000-2009 8.5588110 13492.1258
Atlantic (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 821 4.5374656 4825.2063 12.323404 1982-1999 –> 2000-2009 8.9089946 13664.0630
Atlantic (26,26.5] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 821 4.5329123 4823.5578 12.329884 1982-1999 –> 2000-2009 8.8975832 13657.6258
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 792 3.6009407 4291.0117 11.213529 2000-2009 –> 2010-2019 7.1437775 8711.9202
Atlantic (26,26.5] 3 cstar_tref ~ temp + aou + nitrate 792 4.3326799 4580.0377 12.668701 2000-2009 –> 2010-2019 8.8643637 9401.1504
Atlantic (26,26.5] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 792 4.1089738 4498.0652 12.117890 2000-2009 –> 2010-2019 8.3303206 9204.6955
Atlantic (26,26.5] 4 cstar_tref ~ temp + aou + nitrate + silicate 792 3.9365388 4430.1568 16.234623 2000-2009 –> 2010-2019 7.9772580 9064.9799
Atlantic (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 792 3.9176304 4424.5300 17.941081 2000-2009 –> 2010-2019 7.9479666 9057.1284
Atlantic (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate 792 4.4481996 4623.7177 12.245399 2000-2009 –> 2010-2019 9.0095384 9457.5406
Atlantic (26,26.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 792 4.2186716 4541.7988 11.511898 2000-2009 –> 2010-2019 8.5423833 9289.7714
Atlantic (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 792 4.4278377 4616.4502 12.143959 2000-2009 –> 2010-2019 8.9653033 9441.6566
Atlantic (26,26.5] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 792 4.4498200 4624.2947 12.073131 2000-2009 –> 2010-2019 9.0456201 9470.4763
Atlantic (26,26.5] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 792 4.4258792 4615.7495 12.162944 2000-2009 –> 2010-2019 8.9587916 9439.3073
Atlantic (26.5,26.75] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1062 3.1882859 5488.5682 10.210495 1982-1999 –> 2000-2009 6.2868994 15174.8634
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1062 3.4054129 5630.5033 9.548908 1982-1999 –> 2000-2009 6.7407275 15598.0833
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 1062 3.2166884 5507.4059 10.023866 1982-1999 –> 2000-2009 6.3636365 15252.4259
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1062 3.1279799 5450.0083 10.324034 1982-1999 –> 2000-2009 6.1871300 15089.6734
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1062 3.4176049 5636.0940 9.697426 1982-1999 –> 2000-2009 6.7578667 15607.2974
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1062 3.2040904 5501.0710 9.921703 1982-1999 –> 2000-2009 6.3488333 15245.4316
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate 1062 3.2495944 5529.0235 10.564220 1982-1999 –> 2000-2009 6.4107813 15291.1714
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1062 3.0706532 5410.7205 9.342972 1982-1999 –> 2000-2009 6.0536869 14954.7906
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1062 3.2809089 5549.3934 10.744534 1982-1999 –> 2000-2009 6.4751832 15351.0457
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1062 3.2889038 5554.5628 10.782412 1982-1999 –> 2000-2009 6.4932500 15368.1593
Atlantic (26.5,26.75] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 991 3.6068677 5366.9245 11.544208 2000-2009 –> 2010-2019 6.7951536 10855.4927
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 991 3.6334338 5383.4693 11.023255 2000-2009 –> 2010-2019 7.0388467 11013.9725
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 991 3.5344503 5326.7257 11.170343 2000-2009 –> 2010-2019 6.7511387 10834.1316
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 991 3.5094388 5314.6502 11.405243 2000-2009 –> 2010-2019 6.6374187 10764.6585
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 991 3.6595917 5395.6870 10.764565 2000-2009 –> 2010-2019 7.0771966 11031.7810
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 991 3.5232375 5322.4280 9.360483 2000-2009 –> 2010-2019 6.7273279 10823.4990
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate 991 3.6641832 5398.1722 11.623976 2000-2009 –> 2010-2019 6.9137776 10927.1957
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 991 3.4937733 5305.7831 10.866053 2000-2009 –> 2010-2019 6.5644265 10716.5036
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 991 3.6944860 5414.4959 11.677687 2000-2009 –> 2010-2019 6.9753949 10963.8893
Atlantic (26.5,26.75] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 991 3.7013236 5418.1607 11.679905 2000-2009 –> 2010-2019 6.9902273 10972.7235
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1823 2.0659770 7830.9993 14.424827 1982-1999 –> 2000-2009 3.7385144 19984.0002
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1823 2.4814157 8501.0413 33.677207 1982-1999 –> 2000-2009 4.7323003 22521.0856
Atlantic (26.75,27] 4 cstar_tref ~ sal + aou + silicate + phosphate 1823 2.1831654 8032.1585 19.559457 1982-1999 –> 2000-2009 4.1385018 21166.2235
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1823 1.9766315 7671.8129 13.781569 1982-1999 –> 2000-2009 3.6296205 19752.9816
Atlantic (26.75,27] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1823 2.4866609 8506.7400 34.126676 1982-1999 –> 2000-2009 4.7377876 22525.4598
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1823 2.1758816 8021.9740 15.627762 1982-1999 –> 2000-2009 3.9715478 20623.0696
Atlantic (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate 1823 2.1683983 8007.4129 14.911858 1982-1999 –> 2000-2009 3.9559898 20578.2054
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1823 2.0641208 7829.7220 15.633375 1982-1999 –> 2000-2009 3.5775700 19357.0333
Atlantic (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1823 2.2467361 8136.8086 16.994135 1982-1999 –> 2000-2009 4.0856966 20885.5216
Atlantic (26.75,27] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1823 2.2781392 8187.4167 19.889087 1982-1999 –> 2000-2009 4.1360644 21000.5619
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1838 2.4862011 8575.9566 27.327135 2000-2009 –> 2010-2019 4.5521781 16406.9559
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1838 2.5331953 8646.7919 21.954133 2000-2009 –> 2010-2019 5.0146110 17147.8332
Atlantic (26.75,27] 4 cstar_tref ~ sal + aou + silicate + phosphate 1838 2.4303333 8492.4104 24.551490 2000-2009 –> 2010-2019 4.6134986 16524.5690
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1838 2.3752932 8410.2024 25.710403 2000-2009 –> 2010-2019 4.3519247 16082.0153
Atlantic (26.75,27] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1838 2.5464232 8663.9374 23.624288 2000-2009 –> 2010-2019 5.0330840 17170.6774
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1838 2.5326589 8646.0134 23.132709 2000-2009 –> 2010-2019 4.7085405 16667.9874
Atlantic (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate 1838 2.6115450 8756.7648 28.130265 2000-2009 –> 2010-2019 4.7799432 16764.1777
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1838 2.1210877 7994.1091 22.432680 2000-2009 –> 2010-2019 4.1852085 15823.8311
Atlantic (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1838 2.6580468 8821.6446 28.396389 2000-2009 –> 2010-2019 4.9047829 16958.4533
Atlantic (26.75,27] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1838 2.6744528 8844.2639 28.451846 2000-2009 –> 2010-2019 4.9525920 17031.6806
Atlantic (27,27.25] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1559 2.4409752 7218.7461 10.044139 1982-1999 –> 2000-2009 4.5552371 18550.1848
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1559 2.0648690 6699.0086 9.366593 1982-1999 –> 2000-2009 4.2991504 18320.7741
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 1559 1.8793477 6403.4736 8.998018 1982-1999 –> 2000-2009 3.5957228 16646.1713
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1559 1.8550315 6364.8678 9.477884 1982-1999 –> 2000-2009 3.4250171 16144.0336
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1559 2.1052588 6757.4093 9.766882 1982-1999 –> 2000-2009 4.3688114 18445.1436
Atlantic (27,27.25] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1559 2.1672093 6847.8373 10.226246 1982-1999 –> 2000-2009 4.5320927 18764.2596
Atlantic (27,27.25] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1559 2.1608863 6838.7269 10.174447 1982-1999 –> 2000-2009 4.5531586 18815.2804
Atlantic (27,27.25] 4 cstar_tref ~ temp + aou + nitrate + silicate 1559 2.1484659 6820.7536 15.814041 1982-1999 –> 2000-2009 4.5635802 18846.9312
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1559 2.0141946 6621.5344 13.514345 1982-1999 –> 2000-2009 3.6907733 16743.7273
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1559 2.2857653 7015.9038 13.732662 1982-1999 –> 2000-2009 4.3621875 18255.0358
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + nitrate + silicate 1614 2.6337706 7718.3820 26.086562 2000-2009 –> 2010-2019 5.1777659 15066.0206
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1614 2.2004347 7140.1116 11.848841 2000-2009 –> 2010-2019 4.2653036 13839.1202
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 1614 2.1987074 7135.5768 13.608209 2000-2009 –> 2010-2019 4.0780550 13539.0504
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1614 2.1986925 7137.5549 13.623827 2000-2009 –> 2010-2019 4.0537240 13502.4226
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1614 2.2884650 7264.7344 14.940040 2000-2009 –> 2010-2019 4.3937238 14022.1437
Atlantic (27,27.25] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1614 2.3626778 7367.7538 15.888113 2000-2009 –> 2010-2019 4.5298871 14215.5911
Atlantic (27,27.25] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1614 2.3175306 7305.4747 15.091983 2000-2009 –> 2010-2019 4.4784168 14144.2016
Atlantic (27,27.25] 4 cstar_tref ~ temp + aou + nitrate + silicate 1614 2.4700065 7511.1583 24.589414 2000-2009 –> 2010-2019 4.6184725 14331.9119
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1614 2.4203307 7447.5763 19.130223 2000-2009 –> 2010-2019 4.4345253 14069.1107
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1614 2.6746614 7770.1136 13.624979 2000-2009 –> 2010-2019 4.9604268 14786.0174
Atlantic (27.25,27.5] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 1594 2.7631920 7775.8164 20.043443 1982-1999 –> 2000-2009 5.5467745 21847.8668
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + nitrate + silicate 1594 2.5274961 7491.5825 13.329173 1982-1999 –> 2000-2009 5.1440003 21207.3388
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1594 2.4527680 7397.9044 12.750566 1982-1999 –> 2000-2009 4.9877365 20933.4378
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 1594 3.0934755 8135.7692 19.589218 1982-1999 –> 2000-2009 5.5133791 21401.9159
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate 1594 2.7208633 7726.6022 22.958657 1982-1999 –> 2000-2009 5.2603157 21270.3078
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1594 2.6239029 7612.9213 20.990014 1982-1999 –> 2000-2009 4.7909510 20245.8255
Atlantic (27.25,27.5] 3 cstar_tref ~ temp + aou + nitrate 1594 3.2036666 8245.3515 14.519860 1982-1999 –> 2000-2009 5.7295201 21756.1507
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 1594 3.2007516 8244.4495 13.864776 1982-1999 –> 2000-2009 5.6550864 21591.9174
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + aou + nitrate + silicate 1594 2.3114030 7206.6568 11.878827 1982-1999 –> 2000-2009 4.0314825 18507.9516
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1594 2.1906270 7037.5667 15.334826 1982-1999 –> 2000-2009 3.9065256 18326.8539
Atlantic (27.25,27.5] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 1540 2.9151600 7677.6988 21.564785 2000-2009 –> 2010-2019 5.6783520 15453.5151
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + nitrate + silicate 1540 2.8583983 7617.1359 15.682935 2000-2009 –> 2010-2019 5.3858945 15108.7185
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1540 2.6885411 7430.4467 16.633928 2000-2009 –> 2010-2019 5.1413090 14828.3510
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 1540 3.7719680 8471.3291 22.817810 2000-2009 –> 2010-2019 6.8654435 16607.0983
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate 1540 3.4065624 8157.4981 25.787296 2000-2009 –> 2010-2019 6.1274258 15884.1003
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1540 3.3630344 8119.8892 24.303149 2000-2009 –> 2010-2019 5.9869374 15732.8105
Atlantic (27.25,27.5] 3 cstar_tref ~ temp + aou + nitrate 1540 3.7021907 8411.8189 12.892027 2000-2009 –> 2010-2019 6.9058573 16657.1704
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 1540 3.6866730 8400.8819 14.681164 2000-2009 –> 2010-2019 6.8874246 16645.3315
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + aou + nitrate + silicate 1540 2.9918179 7757.6448 11.502937 2000-2009 –> 2010-2019 5.3032209 14964.3016
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1540 2.6851756 7426.5888 16.530589 2000-2009 –> 2010-2019 4.8758026 14464.1555
Atlantic (27.5,27.75] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 2189 3.2488641 11382.7341 20.516068 1982-1999 –> 2000-2009 6.0918928 29794.4557
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + nitrate + silicate 2189 2.8108006 10748.6417 15.691249 1982-1999 –> 2000-2009 5.6105619 29045.8359
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2189 2.8072026 10745.0341 16.028015 1982-1999 –> 2000-2009 5.5124074 28787.6534
Atlantic (27.5,27.75] 3 cstar_tref ~ sal + aou + phosphate 2189 2.7630085 10671.5623 13.627639 1982-1999 –> 2000-2009 5.2380583 28046.1489
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 2189 2.7460553 10646.6173 14.063628 1982-1999 –> 2000-2009 5.0119232 27363.7595
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 2189 2.4548909 10155.9174 13.710462 1982-1999 –> 2000-2009 4.8220758 27199.7366
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2189 2.3972116 10053.8255 14.482314 1982-1999 –> 2000-2009 4.4977795 26207.2660
Atlantic (27.5,27.75] 4 cstar_tref ~ temp + aou + nitrate + silicate 2189 3.1538518 11252.7910 16.272451 1982-1999 –> 2000-2009 5.5411154 28359.6875
Atlantic (27.5,27.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2189 3.0818356 11153.6630 16.024744 1982-1999 –> 2000-2009 5.4679965 28259.1094
Atlantic (27.5,27.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2189 3.5623556 11788.0204 18.548379 1982-1999 –> 2000-2009 6.3737022 30118.0530
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + nitrate + silicate 2130 3.1434667 10935.7679 16.326333 2000-2009 –> 2010-2019 5.9542673 21684.4096
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2130 3.1219045 10908.4463 15.116511 2000-2009 –> 2010-2019 5.9291071 21653.4804
Atlantic (27.5,27.75] 3 cstar_tref ~ sal + aou + phosphate 2130 3.2316574 11051.6374 13.890500 2000-2009 –> 2010-2019 5.9946659 21723.1998
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 2130 3.2314900 11053.4168 13.926101 2000-2009 –> 2010-2019 5.9775454 21700.0341
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 2130 2.7306643 10336.0394 14.849561 2000-2009 –> 2010-2019 5.1855552 20491.9568
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2130 2.7161747 10315.3747 14.691108 2000-2009 –> 2010-2019 5.1133863 20369.2002
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 2130 3.3027050 11146.2783 16.269438 2000-2009 –> 2010-2019 6.5368331 22509.1098
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 2130 3.2714598 11105.7848 15.545978 2000-2009 –> 2010-2019 6.4757048 22427.9758
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 2130 3.2350841 11058.1521 15.479156 2000-2009 –> 2010-2019 6.4182753 22351.4821
Atlantic (27.5,27.75] 3 cstar_tref ~ sal + silicate + phosphate_star 2130 3.3925320 11258.5942 18.351277 2000-2009 –> 2010-2019 6.6595332 22663.7010
Atlantic (27.75,27.85] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 779 2.2630847 3495.1697 15.004098 1982-1999 –> 2000-2009 4.1842660 8976.9297
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + nitrate + silicate 779 1.9280831 3245.5742 13.299770 1982-1999 –> 2000-2009 3.9327313 8839.6091
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 779 1.8683724 3198.5617 14.178370 1982-1999 –> 2000-2009 3.8200201 8723.8587
Atlantic (27.75,27.85] 3 cstar_tref ~ sal + aou + phosphate 779 2.2543220 3487.1254 11.487811 1982-1999 –> 2000-2009 4.2281095 9038.2025
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 779 1.9435752 3258.0426 12.440824 1982-1999 –> 2000-2009 3.6268721 8390.8318
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate 779 1.7415675 3087.0622 12.268139 1982-1999 –> 2000-2009 3.5502448 8409.5128
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 779 1.5517635 2909.2790 12.833744 1982-1999 –> 2000-2009 3.1488085 7905.2060
Atlantic (27.75,27.85] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 779 2.2974792 3518.6701 14.758671 1982-1999 –> 2000-2009 4.2026008 8978.2689
Atlantic (27.75,27.85] 4 cstar_tref ~ temp + aou + silicate + phosphate 779 2.3006484 3520.8178 15.163583 1982-1999 –> 2000-2009 4.2725343 9071.3502
Atlantic (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 779 2.2593711 3494.6110 14.967474 1982-1999 –> 2000-2009 4.1644927 8956.2097
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + nitrate + silicate 770 1.9755641 3245.6805 12.614626 2000-2009 –> 2010-2019 3.9036472 6491.2546
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 770 1.9630247 3237.8745 12.971739 2000-2009 –> 2010-2019 3.8313971 6436.4362
Atlantic (27.75,27.85] 3 cstar_tref ~ sal + aou + phosphate 770 2.5533119 3638.7479 10.680820 2000-2009 –> 2010-2019 4.8076339 7125.8733
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 770 2.3063256 3484.0750 11.468815 2000-2009 –> 2010-2019 4.2499008 6742.1176
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate 770 1.7941642 3097.3558 11.679683 2000-2009 –> 2010-2019 3.5357317 6184.4180
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 770 1.6743257 2992.8976 12.064362 2000-2009 –> 2010-2019 3.2260893 5902.1766
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 770 2.2393474 3438.6894 11.391708 2000-2009 –> 2010-2019 4.5481565 6965.0239
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 770 2.2490688 3445.3604 11.412789 2000-2009 –> 2010-2019 4.5725237 6981.5467
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 770 2.2514018 3446.9570 11.445854 2000-2009 –> 2010-2019 4.5779795 6985.2359
Atlantic (27.75,27.85] 3 cstar_tref ~ sal + silicate + phosphate_star 770 2.2534993 3446.3911 11.486894 2000-2009 –> 2010-2019 4.5834040 6984.8964
Atlantic (27.85,27.95] 3 cstar_tref ~ aou + phosphate + phosphate_star 738 3.2143765 3827.7802 34.244079 1982-1999 –> 2000-2009 6.1313386 10489.6741
Atlantic (27.85,27.95] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 738 3.2074758 3826.6080 32.807267 1982-1999 –> 2000-2009 6.0850738 10454.1981
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 738 3.4346317 3929.6040 24.553763 1982-1999 –> 2000-2009 6.5150934 10741.2202
Atlantic (27.85,27.95] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 738 3.1856526 3816.5312 26.631992 1982-1999 –> 2000-2009 5.9156598 10303.4360
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 738 3.1780149 3814.9882 25.036548 1982-1999 –> 2000-2009 5.9078930 10303.7666
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 738 3.4347060 3929.6359 27.322677 1982-1999 –> 2000-2009 6.3602705 10603.3982
Atlantic (27.85,27.95] 3 cstar_tref ~ temp + aou + phosphate 738 3.4862367 3947.6158 41.054609 1982-1999 –> 2000-2009 6.4160889 10621.2913
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 738 2.8358734 3644.8618 21.642649 1982-1999 –> 2000-2009 5.7526791 10308.6123
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + silicate + phosphate 738 3.4769028 3945.6587 39.230202 1982-1999 –> 2000-2009 6.3895407 10605.5885
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 738 2.8294063 3643.4920 21.495006 1982-1999 –> 2000-2009 5.6936617 10260.6639
Atlantic (27.85,27.95] 3 cstar_tref ~ aou + phosphate + phosphate_star 814 3.7305277 4463.3748 24.972090 2000-2009 –> 2010-2019 6.9449042 8291.1550
Atlantic (27.85,27.95] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 814 3.7304758 4465.3522 24.906494 2000-2009 –> 2010-2019 6.9379515 8291.9602
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 814 3.6381892 4426.5713 30.486945 2000-2009 –> 2010-2019 7.0728208 8356.1752
Atlantic (27.85,27.95] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 814 3.3630474 4296.5477 31.974580 2000-2009 –> 2010-2019 6.5487000 8113.0790
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 814 3.2920626 4263.8172 30.727354 2000-2009 –> 2010-2019 6.4700774 8078.8054
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 814 3.8188591 4505.4733 23.929793 2000-2009 –> 2010-2019 7.2535651 8435.1092
Atlantic (27.85,27.95] 3 cstar_tref ~ temp + aou + phosphate 814 3.8245337 4503.8907 25.300259 2000-2009 –> 2010-2019 7.3107704 8451.5064
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 814 3.6638256 4436.0027 23.510018 2000-2009 –> 2010-2019 6.4996991 8080.8646
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + silicate + phosphate 814 3.8182904 4503.2308 24.627420 2000-2009 –> 2010-2019 7.2951932 8448.8896
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 814 3.6356054 4425.4147 24.695960 2000-2009 –> 2010-2019 6.4650117 8068.9067
Atlantic (27.95,28.05] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 924 4.6779874 5485.4184 25.601393 1982-1999 –> 2000-2009 9.5847035 15585.4080
Atlantic (27.95,28.05] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 924 4.6816067 5486.8476 26.231990 1982-1999 –> 2000-2009 9.5134661 15535.3051
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 924 4.5997587 5456.2535 25.306310 1982-1999 –> 2000-2009 9.3450356 15446.1016
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 924 4.1774111 5276.2687 22.544495 1982-1999 –> 2000-2009 8.2081408 14717.0624
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 924 4.0129472 5204.0423 24.166708 1982-1999 –> 2000-2009 7.5447565 14203.9124
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + aou + silicate + phosphate 924 4.6403231 5470.4792 24.732051 1982-1999 –> 2000-2009 9.5248471 15555.2740
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 924 4.5656850 5442.5131 21.761088 1982-1999 –> 2000-2009 9.4200540 15508.5499
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 924 4.6283831 5465.7180 24.458248 1982-1999 –> 2000-2009 9.5055515 15545.4612
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 924 4.6767000 5484.9098 24.151727 1982-1999 –> 2000-2009 9.5989416 15595.4888
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 924 4.6310992 5466.8022 24.502281 1982-1999 –> 2000-2009 9.5094985 15547.3912
Atlantic (27.95,28.05] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 946 4.4257571 5510.8708 24.550974 2000-2009 –> 2010-2019 9.1037446 10996.2892
Atlantic (27.95,28.05] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 946 4.3649819 5484.7095 24.682616 2000-2009 –> 2010-2019 9.0465886 10971.5571
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 946 4.3077764 5461.7498 24.652729 2000-2009 –> 2010-2019 8.9075351 10918.0034
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 946 3.8194584 5232.1172 22.689551 2000-2009 –> 2010-2019 7.9968695 10508.3859
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 946 3.4174477 5023.6991 27.294519 2000-2009 –> 2010-2019 7.4303949 10227.7415
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 946 4.4450742 5519.1108 24.516004 2000-2009 –> 2010-2019 9.1466939 11013.8415
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + aou + silicate + phosphate 946 4.4156048 5506.5257 23.818819 2000-2009 –> 2010-2019 9.0559279 10977.0049
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 946 4.4121453 5507.0428 23.110838 2000-2009 –> 2010-2019 8.9778303 10949.5559
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 946 4.4135150 5505.6300 23.554547 2000-2009 –> 2010-2019 9.0418981 10971.3481
Atlantic (27.95,28.05] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 946 4.4141232 5505.8907 23.642971 2000-2009 –> 2010-2019 9.0452223 10972.6929
Atlantic (28.05,28.1] 3 cstar_tref ~ aou + phosphate + phosphate_star 622 1.1825136 1983.7066 10.378012 1982-1999 –> 2000-2009 2.1423122 4958.9620
Atlantic (28.05,28.1] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 622 1.1808614 1983.9673 10.313505 1982-1999 –> 2000-2009 2.1339297 4946.0790
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 622 1.1111728 1910.2970 5.439451 1982-1999 –> 2000-2009 2.1032357 4960.7040
Atlantic (28.05,28.1] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 622 1.0511382 1839.2023 7.028897 1982-1999 –> 2000-2009 1.9440276 4660.9523
Atlantic (28.05,28.1] 4 cstar_tref ~ sal + aou + silicate + phosphate 622 1.1445329 1945.0953 4.901106 1982-1999 –> 2000-2009 2.1547414 5032.5083
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 622 1.0115009 1793.3850 5.997384 1982-1999 –> 2000-2009 1.9038566 4615.8484
Atlantic (28.05,28.1] 3 cstar_tref ~ temp + aou + phosphate 622 1.2018142 2003.8469 10.425866 1982-1999 –> 2000-2009 2.1730122 5004.5105
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 622 1.1270534 1925.9502 10.615931 1982-1999 –> 2000-2009 2.0678624 4860.2013
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + aou + silicate + phosphate 622 1.1973637 2001.2316 10.300471 1982-1999 –> 2000-2009 2.1653862 4996.8474
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 622 1.0763763 1870.7181 11.424966 1982-1999 –> 2000-2009 1.9156532 4561.2119
Atlantic (28.05,28.1] 3 cstar_tref ~ aou + phosphate + phosphate_star 616 1.1491475 1929.4053 12.336856 2000-2009 –> 2010-2019 2.3316610 3913.1119
Atlantic (28.05,28.1] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 616 1.1471832 1929.2977 12.320794 2000-2009 –> 2010-2019 2.3280447 3913.2650
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 616 1.1554767 1940.1723 7.746593 2000-2009 –> 2010-2019 2.2666495 3850.4693
Atlantic (28.05,28.1] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 616 1.0817571 1856.9511 9.421522 2000-2009 –> 2010-2019 2.1328954 3696.1534
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 616 1.0470929 1818.8260 8.314273 2000-2009 –> 2010-2019 2.0585938 3612.2110
Atlantic (28.05,28.1] 3 cstar_tref ~ temp + aou + phosphate 616 1.1697995 1951.3498 12.346877 2000-2009 –> 2010-2019 2.3716138 3955.1967
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 616 1.0809810 1856.0668 12.969134 2000-2009 –> 2010-2019 2.2080344 3782.0170
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + aou + silicate + phosphate 616 1.1649057 1948.1849 12.300584 2000-2009 –> 2010-2019 2.3622693 3949.4164
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 616 1.0205420 1787.1836 13.783299 2000-2009 –> 2010-2019 2.0969183 3657.9017
Atlantic (28.05,28.1] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 616 1.1691142 1952.6278 12.299891 2000-2009 –> 2010-2019 2.3716708 3959.2428
Atlantic (28.1,28.15] 3 cstar_tref ~ aou + phosphate + phosphate_star 732 0.8917521 1919.5998 9.351128 1982-1999 –> 2000-2009 1.6120576 4754.9239
Atlantic (28.1,28.15] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 732 0.8840969 1908.9778 9.336422 1982-1999 –> 2000-2009 1.5690055 4615.7918
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 732 0.8538858 1860.0758 5.944301 1982-1999 –> 2000-2009 1.5621820 4655.8538
Atlantic (28.1,28.15] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 732 0.7812247 1727.8755 5.455119 1982-1999 –> 2000-2009 1.4531001 4384.9287
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 732 0.7664085 1701.8434 5.326021 1982-1999 –> 2000-2009 1.3958613 4191.9721
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 732 0.9021145 1940.5137 9.189375 1982-1999 –> 2000-2009 1.6121373 4742.5981
Atlantic (28.1,28.15] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 732 0.8811424 1904.0773 9.356242 1982-1999 –> 2000-2009 1.5995333 4734.5079
Atlantic (28.1,28.15] 4 cstar_tref ~ temp + aou + silicate + phosphate 732 0.8968285 1929.9101 9.414231 1982-1999 –> 2000-2009 1.5952196 4687.2133
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 732 0.8104758 1783.6902 9.303686 1982-1999 –> 2000-2009 1.3992656 4100.8539
Atlantic (28.1,28.15] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 732 0.9015542 1937.6042 9.444195 1982-1999 –> 2000-2009 1.6068936 4720.5479
Atlantic (28.1,28.15] 3 cstar_tref ~ aou + phosphate + phosphate_star 701 0.9404852 1913.3260 11.486876 2000-2009 –> 2010-2019 1.8322374 3832.9258
Atlantic (28.1,28.15] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 701 0.9403200 1915.0797 11.498013 2000-2009 –> 2010-2019 1.8244168 3824.0575
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 701 0.8977980 1852.2019 7.564217 2000-2009 –> 2010-2019 1.7516838 3712.2777
Atlantic (28.1,28.15] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 701 0.8144621 1713.6231 6.686258 2000-2009 –> 2010-2019 1.5956869 3441.4986
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 701 0.8130228 1713.1432 6.684612 2000-2009 –> 2010-2019 1.5794312 3414.9866
Atlantic (28.1,28.15] 3 cstar_tref ~ temp + aou + phosphate 701 0.9589875 1940.6400 11.608163 2000-2009 –> 2010-2019 1.8593491 3874.3063
Atlantic (28.1,28.15] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 701 0.8818581 1825.0866 11.583354 2000-2009 –> 2010-2019 1.7630005 3729.1638
Atlantic (28.1,28.15] 4 cstar_tref ~ temp + aou + silicate + phosphate 701 0.9588143 1942.3867 11.591796 2000-2009 –> 2010-2019 1.8556427 3872.2967
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 701 0.7962737 1683.9590 12.056547 2000-2009 –> 2010-2019 1.6067495 3467.6492
Atlantic (28.1,28.15] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 701 0.9641162 1950.1179 11.629994 2000-2009 –> 2010-2019 1.8656704 3887.7220
Atlantic (28.15,28.2] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 1187 0.5549691 1982.6472 2.427554 1982-1999 –> 2000-2009 1.1504757 6000.4972
Atlantic (28.15,28.2] 3 cstar_tref ~ sal + aou + nitrate 1187 0.6304689 2283.4540 2.002894 1982-1999 –> 2000-2009 1.2441970 6433.3650
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 1187 0.5876393 2118.4421 1.963947 1982-1999 –> 2000-2009 1.1203757 5640.8484
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + aou + nitrate + silicate 1187 0.6304427 2285.3553 2.010782 1982-1999 –> 2000-2009 1.2283888 6321.3893
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1187 0.5399010 1919.2989 2.036715 1982-1999 –> 2000-2009 1.0575998 5316.3450
Atlantic (28.15,28.2] 3 cstar_tref ~ temp + aou + nitrate 1187 0.6331219 2293.4231 2.442080 1982-1999 –> 2000-2009 1.2369199 6370.7762
Atlantic (28.15,28.2] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 1187 0.5876153 2118.3452 2.143958 1982-1999 –> 2000-2009 1.1514045 5892.7465
Atlantic (28.15,28.2] 4 cstar_tref ~ temp + aou + nitrate + silicate 1187 0.5585849 1998.0645 2.157303 1982-1999 –> 2000-2009 1.1092358 5667.5850
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1187 0.5473605 1951.8747 2.270904 1982-1999 –> 2000-2009 1.0974097 5618.5321
Atlantic (28.15,28.2] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1187 0.6186493 2240.5254 2.182478 1982-1999 –> 2000-2009 1.2647717 6621.2279
Atlantic (28.15,28.2] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 1172 0.9167015 3134.1262 14.925458 2000-2009 –> 2010-2019 1.4716706 5116.7735
Atlantic (28.15,28.2] 3 cstar_tref ~ sal + aou + nitrate 1172 0.8493267 2953.1901 9.144121 2000-2009 –> 2010-2019 1.4797956 5236.6442
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 1172 0.7148953 2551.3005 5.206240 2000-2009 –> 2010-2019 1.3025346 4669.7426
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + aou + nitrate + silicate 1172 0.7932518 2795.0873 5.877964 2000-2009 –> 2010-2019 1.4236944 5080.4426
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1172 0.7068049 2526.6226 5.901941 2000-2009 –> 2010-2019 1.2467059 4445.9215
Atlantic (28.15,28.2] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 1172 0.8305419 2902.7654 9.393502 2000-2009 –> 2010-2019 1.4181573 5021.1105
Atlantic (28.15,28.2] 4 cstar_tref ~ temp + aou + nitrate + silicate 1172 0.8195622 2871.5710 10.062730 2000-2009 –> 2010-2019 1.3781471 4869.6355
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1172 0.8195561 2873.5538 10.081143 2000-2009 –> 2010-2019 1.3669167 4825.4285
Atlantic (28.15,28.2] 3 cstar_tref ~ temp + nitrate + phosphate_star 1172 0.8788746 3033.3510 11.360132 2000-2009 –> 2010-2019 1.5081338 5312.2458
Atlantic (28.15,28.2] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1172 0.8511039 2960.0897 9.556905 2000-2009 –> 2010-2019 1.4697532 5200.6151
Atlantic (28.2, Inf] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 2098 0.5162481 3191.6059 3.176018 1982-1999 –> 2000-2009 0.9844723 8103.0937
Atlantic (28.2, Inf] 3 cstar_tref ~ sal + aou + nitrate 2098 0.3555091 1624.3440 1.926868 1982-1999 –> 2000-2009 0.6617775 3383.3024
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 2098 0.3507038 1569.2412 1.905473 1982-1999 –> 2000-2009 0.6526544 3224.8185
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + silicate 2098 0.3551745 1622.3937 1.926116 1982-1999 –> 2000-2009 0.6599620 3347.3749
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2098 0.3431791 1480.2329 1.865403 1982-1999 –> 2000-2009 0.6422665 3067.0946
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 2098 0.5916107 3763.3585 7.046778 1982-1999 –> 2000-2009 1.1577379 10084.0739
Atlantic (28.2, Inf] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 2098 0.7488426 4752.2720 4.225649 1982-1999 –> 2000-2009 1.3307702 11277.2946
Atlantic (28.2, Inf] 4 cstar_tref ~ temp + aou + nitrate + silicate 2098 0.5917473 3764.3270 4.142129 1982-1999 –> 2000-2009 1.0821061 9018.6392
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2098 0.5136568 3172.4908 3.082698 1982-1999 –> 2000-2009 0.9726629 7938.4021
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2098 0.6730482 4306.5089 9.069562 1982-1999 –> 2000-2009 1.3119481 11526.7593
Atlantic (28.2, Inf] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 2152 0.6730801 4415.1968 10.062927 2000-2009 –> 2010-2019 1.1893282 7606.8027
Atlantic (28.2, Inf] 3 cstar_tref ~ sal + aou + nitrate 2152 0.4030415 2205.9993 2.393416 2000-2009 –> 2010-2019 0.7585506 3830.3433
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 2152 0.3892246 2057.8628 2.334603 2000-2009 –> 2010-2019 0.7399284 3627.1040
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + silicate 2152 0.3982608 2156.6413 2.382638 2000-2009 –> 2010-2019 0.7534353 3779.0350
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2152 0.3815918 1974.6210 2.527483 2000-2009 –> 2010-2019 0.7247709 3454.8539
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2152 0.8199027 5266.4678 2.701687 2000-2009 –> 2010-2019 1.5452099 9886.7467
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 2152 0.6336476 4155.3586 4.693123 2000-2009 –> 2010-2019 1.2252583 7918.7171
Atlantic (28.2, Inf] 4 cstar_tref ~ temp + aou + nitrate + silicate 2152 0.7679563 4982.7587 7.785353 2000-2009 –> 2010-2019 1.3597035 8747.0858
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2152 0.6728378 4415.6474 9.771754 2000-2009 –> 2010-2019 1.1864946 7588.1382
Atlantic (28.2, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2152 0.7850813 5079.6811 10.141715 2000-2009 –> 2010-2019 1.4581295 9386.1900
Indo-Pacific (-Inf,26] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4068 7.7323533 28197.9662 27.908914 1982-1999 –> 2000-2009 15.8132090 78682.3308
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4068 6.2543379 26472.0117 30.183795 1982-1999 –> 2000-2009 12.7838792 73889.8410
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4068 6.2120635 26418.8320 29.738900 1982-1999 –> 2000-2009 12.6909147 73726.5445
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 4068 7.5600657 28014.6346 32.978688 1982-1999 –> 2000-2009 15.5341697 78307.6873
Indo-Pacific (-Inf,26] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4068 7.1874512 27605.4146 31.717771 1982-1999 –> 2000-2009 14.7158082 77072.9492
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4068 7.5736209 28029.2094 30.614905 1982-1999 –> 2000-2009 15.4961025 78228.8279
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + aou + silicate + phosphate 4068 7.4848088 27933.2388 28.575126 1982-1999 –> 2000-2009 15.2978650 77932.7727
Indo-Pacific (-Inf,26] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4068 7.2871451 27717.4900 29.383995 1982-1999 –> 2000-2009 14.8713248 77291.3029
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 4068 7.4084915 27849.8559 28.725354 1982-1999 –> 2000-2009 15.1458385 77709.3083
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 4068 7.3926659 27832.4576 28.698337 1982-1999 –> 2000-2009 15.1069689 77649.0008
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4036 6.0300164 25969.0357 24.745097 2000-2009 –> 2010-2019 12.2843543 52441.0473
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4036 5.9649172 25883.4176 24.031741 2000-2009 –> 2010-2019 12.1769807 52302.2496
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 4036 7.5208700 27752.3995 34.509259 2000-2009 –> 2010-2019 15.0809357 55767.0341
Indo-Pacific (-Inf,26] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4036 7.0481900 27230.4381 25.743215 2000-2009 –> 2010-2019 14.2356412 54835.8527
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4036 7.4621501 27689.1293 27.429350 2000-2009 –> 2010-2019 15.0357709 55718.3386
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + aou + silicate + phosphate 4036 7.3153461 27528.7448 24.095732 2000-2009 –> 2010-2019 14.8001550 55461.9836
Indo-Pacific (-Inf,26] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4036 7.1067899 27297.2727 25.276230 2000-2009 –> 2010-2019 14.3939350 55014.7626
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 4036 7.2361125 27440.8388 24.330044 2000-2009 –> 2010-2019 14.6446040 55290.6947
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 4036 7.4922006 27721.5704 26.347561 2000-2009 –> 2010-2019 15.2306848 55925.9849
Indo-Pacific (-Inf,26] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 4036 7.2224238 27425.5544 24.309044 2000-2009 –> 2010-2019 14.6150897 55258.0120
Indo-Pacific (26,26.5] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4229 4.8160239 25308.9240 41.202833 1982-1999 –> 2000-2009 9.4632081 70901.9289
Indo-Pacific (26,26.5] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4229 4.9819183 25595.3655 45.263043 1982-1999 –> 2000-2009 9.7600809 71617.0744
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4229 4.4636654 24668.2986 44.432429 1982-1999 –> 2000-2009 8.7100381 68872.1153
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 4229 5.1652287 25900.9900 52.668613 1982-1999 –> 2000-2009 10.0549897 72278.7981
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4229 4.6694437 25049.4980 49.056615 1982-1999 –> 2000-2009 9.0810856 69842.2307
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4229 5.4060584 26286.4285 42.572923 1982-1999 –> 2000-2009 10.6172467 73646.1975
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate 4229 4.8254214 25325.4119 39.450835 1982-1999 –> 2000-2009 9.4451817 70827.1277
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4229 4.8096413 25299.7074 40.660310 1982-1999 –> 2000-2009 9.4293104 70803.1183
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 4229 4.8699166 25403.0458 49.415358 1982-1999 –> 2000-2009 9.5013074 70943.5433
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 4229 4.8771571 25415.6117 50.707277 1982-1999 –> 2000-2009 9.5132895 70971.8921
Indo-Pacific (26,26.5] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4214 4.9067156 25376.4313 41.844781 2000-2009 –> 2010-2019 9.7227396 50685.3553
Indo-Pacific (26,26.5] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4214 5.1188481 25733.1432 45.995509 2000-2009 –> 2010-2019 10.1007664 51328.5087
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4214 4.5543122 24750.2900 44.713879 2000-2009 –> 2010-2019 9.0179775 49418.5885
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4214 4.7170670 25046.2198 47.449192 2000-2009 –> 2010-2019 9.3865107 50095.7177
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate 4214 4.8943137 25355.1022 40.652137 2000-2009 –> 2010-2019 9.7197351 50680.5141
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4214 4.8908804 25351.1879 41.133450 2000-2009 –> 2010-2019 9.7005217 50650.8953
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 4214 4.9195234 25398.4019 39.514892 2000-2009 –> 2010-2019 9.7894400 50801.4476
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 4214 5.1156591 25727.8911 37.855704 2000-2009 –> 2010-2019 10.3476851 51737.5596
Indo-Pacific (26,26.5] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 4214 4.9227387 25403.9084 39.415492 2000-2009 –> 2010-2019 9.7998959 50819.5201
Indo-Pacific (26,26.5] 3 cstar_tref ~ temp + silicate + phosphate_star 4214 5.1156773 25725.9211 37.899094 2000-2009 –> 2010-2019 10.3632073 51758.6159
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 3529 4.0081816 19825.7554 21.344088 1982-1999 –> 2000-2009 7.9572490 54955.2040
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 3529 4.2005180 20156.5652 17.184796 1982-1999 –> 2000-2009 8.1346995 55238.5191
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3529 3.9057203 19644.9853 19.477812 1982-1999 –> 2000-2009 7.6631149 54150.7321
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 3529 4.0699356 19933.6687 34.597541 1982-1999 –> 2000-2009 8.1290955 55408.9143
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3529 3.9818186 19781.1795 32.892070 1982-1999 –> 2000-2009 7.9726983 55045.0815
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate 3529 4.0885175 19965.8198 26.704918 1982-1999 –> 2000-2009 8.1101646 55324.3036
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3529 3.9261530 19681.8129 19.620117 1982-1999 –> 2000-2009 7.8033451 54582.2623
Indo-Pacific (26.5,26.75] 3 cstar_tref ~ temp + nitrate + phosphate_star 3529 4.0891702 19964.9465 36.327317 1982-1999 –> 2000-2009 8.1749347 55520.3487
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 3529 3.9818199 19779.1819 32.902133 1982-1999 –> 2000-2009 8.0433505 55261.7700
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 3529 4.1645262 20095.8287 32.362053 1982-1999 –> 2000-2009 8.2614330 55687.4805
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 3462 4.3108347 19953.6053 24.872787 2000-2009 –> 2010-2019 8.3190163 39779.3607
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3462 4.1730388 19730.6649 25.147334 2000-2009 –> 2010-2019 8.0787591 39375.6502
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 3462 4.3381387 19997.3222 32.846766 2000-2009 –> 2010-2019 8.4080742 39930.9909
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3462 4.2447747 19848.6793 32.236894 2000-2009 –> 2010-2019 8.2265933 39629.8589
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate 3462 4.4010747 20097.0513 24.052740 2000-2009 –> 2010-2019 8.4895923 40062.8711
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3462 4.1748258 19733.6293 23.080937 2000-2009 –> 2010-2019 8.1009788 39415.4422
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 3462 4.4808848 20221.4878 23.352424 2000-2009 –> 2010-2019 8.6496716 40324.5336
Indo-Pacific (26.5,26.75] 3 cstar_tref ~ temp + nitrate + phosphate_star 3462 4.3737885 20051.9896 37.885706 2000-2009 –> 2010-2019 8.4629587 40016.9361
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 3462 4.2482634 19852.3676 33.629797 2000-2009 –> 2010-2019 8.2300833 39631.5495
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 3462 4.4744934 20211.6045 23.173869 2000-2009 –> 2010-2019 8.6390196 40307.4333
Indo-Pacific (26.75,27] 3 cstar_tref ~ aou + phosphate + phosphate_star 4017 4.5076531 23507.1617 19.578580 1982-1999 –> 2000-2009 8.5166309 65803.3474
Indo-Pacific (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4017 4.4876777 23473.4805 18.556175 1982-1999 –> 2000-2009 8.4846619 65726.5379
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4017 4.2724631 23078.6506 21.763079 1982-1999 –> 2000-2009 7.9602701 64119.0945
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4017 4.2553571 23048.4198 20.824445 1982-1999 –> 2000-2009 7.9292548 64033.9468
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 4017 4.7476482 23925.9072 22.874498 1982-1999 –> 2000-2009 9.0398033 67252.1148
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4017 4.6778903 23808.9867 21.987044 1982-1999 –> 2000-2009 8.9230156 66971.2467
Indo-Pacific (26.75,27] 3 cstar_tref ~ temp + aou + phosphate 4017 4.6945827 23833.6039 22.225241 1982-1999 –> 2000-2009 8.9000758 66850.5858
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4017 4.1775858 22898.2313 22.992091 1982-1999 –> 2000-2009 7.8577816 63907.5565
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate 4017 4.6667045 23787.7527 21.906119 1982-1999 –> 2000-2009 8.8535119 66739.6625
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4017 4.1420159 22831.5333 21.346253 1982-1999 –> 2000-2009 7.7944796 63728.9293
Indo-Pacific (26.75,27] 3 cstar_tref ~ aou + phosphate + phosphate_star 4205 4.8285208 25185.1558 19.522401 2000-2009 –> 2010-2019 9.3361738 48692.3175
Indo-Pacific (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4205 4.8177507 25168.3762 18.710717 2000-2009 –> 2010-2019 9.3054284 48641.8566
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4205 4.5888051 24758.9144 20.740957 2000-2009 –> 2010-2019 8.8612682 47837.5650
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4205 4.5761631 24737.7133 19.887036 2000-2009 –> 2010-2019 8.8315203 47786.1330
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 4205 5.0904914 25631.4914 20.793289 2000-2009 –> 2010-2019 9.8381395 49557.3986
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4205 5.0336477 25539.0518 19.347464 2000-2009 –> 2010-2019 9.7115380 49348.0385
Indo-Pacific (26.75,27] 3 cstar_tref ~ temp + aou + phosphate 4205 5.0433756 25551.2890 18.686827 2000-2009 –> 2010-2019 9.7379583 49384.8929
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4205 4.4888244 24573.6520 23.022818 2000-2009 –> 2010-2019 8.6664102 47471.8834
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate 4205 5.0262968 25524.7613 17.594105 2000-2009 –> 2010-2019 9.6930013 49312.5140
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4205 4.4625670 24526.3133 21.572068 2000-2009 –> 2010-2019 8.6045830 47357.8466
Indo-Pacific (27,27.25] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 5080 4.3593864 29387.3016 38.709974 1982-1999 –> 2000-2009 8.0105068 77366.0537
Indo-Pacific (27,27.25] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 5080 4.5907285 29912.6489 54.528271 1982-1999 –> 2000-2009 8.3679761 78491.6369
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5080 4.2999639 29249.8588 40.839339 1982-1999 –> 2000-2009 7.8656988 76812.3751
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 5080 4.6331074 30006.0098 67.010405 1982-1999 –> 2000-2009 8.4034157 78552.4985
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5080 4.0799080 28716.1318 50.111785 1982-1999 –> 2000-2009 7.4465610 75263.2572
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 5080 4.2762965 29191.7828 43.472924 1982-1999 –> 2000-2009 7.8843652 76960.8955
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + silicate + phosphate 5080 4.5058833 29723.1164 37.027056 1982-1999 –> 2000-2009 8.2904437 78336.2880
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5080 3.8887413 28228.5645 28.959201 1982-1999 –> 2000-2009 7.1915720 74437.4241
Indo-Pacific (27,27.25] 3 cstar_tref ~ temp + nitrate + phosphate_star 5080 4.6709813 30086.7264 71.765282 1982-1999 –> 2000-2009 8.4827428 78824.4737
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 5080 4.5558327 29835.1240 72.924411 1982-1999 –> 2000-2009 8.0500576 77037.5899
Indo-Pacific (27,27.25] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4856 4.9960537 29415.9236 32.118568 2000-2009 –> 2010-2019 9.3554401 58803.2253
Indo-Pacific (27,27.25] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4856 5.5078501 30363.0964 49.811569 2000-2009 –> 2010-2019 10.0985786 60275.7453
Indo-Pacific (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 4856 5.1920372 29789.6202 22.864857 2000-2009 –> 2010-2019 9.8925662 59942.4142
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4856 4.9583633 29344.3782 34.171998 2000-2009 –> 2010-2019 9.2583272 58594.2370
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4856 4.8015633 29032.2914 37.525132 2000-2009 –> 2010-2019 8.8814713 57748.4232
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4856 4.9799171 29384.5045 40.500297 2000-2009 –> 2010-2019 9.2562136 58576.2873
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + silicate + phosphate 4856 5.1096321 29634.2403 29.898803 2000-2009 –> 2010-2019 9.6155154 59357.3567
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4856 4.3662850 28109.3696 26.056968 2000-2009 –> 2010-2019 8.2550263 56337.9341
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 4856 5.2677951 29930.3057 29.187144 2000-2009 –> 2010-2019 9.9430231 60028.2649
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 4856 5.1910962 29787.8597 28.530926 2000-2009 –> 2010-2019 9.8092993 59761.1330
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 4470 3.7869257 24601.4081 36.956604 1982-1999 –> 2000-2009 7.1490562 66149.2151
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4470 3.9087582 24884.4949 33.011911 1982-1999 –> 2000-2009 7.1703656 65953.1834
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4470 3.4019672 23645.0339 32.108393 1982-1999 –> 2000-2009 6.3233528 62976.9235
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate 4470 3.8082796 24651.6777 30.127061 1982-1999 –> 2000-2009 6.9833321 65295.8399
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4470 3.6583191 24294.5244 32.075781 1982-1999 –> 2000-2009 6.7287947 64412.0534
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 4470 3.6741264 24331.0700 31.405290 1982-1999 –> 2000-2009 6.7452567 64449.9650
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 4470 3.7184739 24438.3318 30.547954 1982-1999 –> 2000-2009 6.8057610 64640.0465
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4470 3.5947082 24137.7082 32.852311 1982-1999 –> 2000-2009 6.6781970 64321.9917
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + aou + silicate + phosphate 4470 3.9051906 24876.3313 33.576960 1982-1999 –> 2000-2009 7.1692326 65956.7972
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4470 3.3062995 23390.0270 33.165974 1982-1999 –> 2000-2009 6.2305929 62737.6192
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 4504 4.3086606 25951.1272 36.519666 2000-2009 –> 2010-2019 8.0955864 50552.5352
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 4504 4.4656018 26273.4054 31.999825 2000-2009 –> 2010-2019 8.3743600 51157.9004
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4504 3.8140363 24854.7001 30.783245 2000-2009 –> 2010-2019 7.2160035 48499.7340
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate 4504 4.3163569 25967.2032 28.439639 2000-2009 –> 2010-2019 8.1246365 50618.8809
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4504 4.1272586 25565.6600 31.996313 2000-2009 –> 2010-2019 7.7855778 49860.1844
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 4504 4.1630159 25641.3662 30.405172 2000-2009 –> 2010-2019 7.8371422 49972.4362
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 4504 4.2266419 25777.9998 29.056755 2000-2009 –> 2010-2019 7.9451158 50216.3316
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4504 4.0820648 25466.4775 30.620419 2000-2009 –> 2010-2019 7.6767730 49604.1857
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ temp + aou + silicate + phosphate 4504 4.4627810 26267.7135 32.840282 2000-2009 –> 2010-2019 8.3679716 51144.0449
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4504 3.7002625 24581.8995 32.621905 2000-2009 –> 2010-2019 7.0065620 47971.9265
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 4498 3.4331745 23873.2051 11.886817 1982-1999 –> 2000-2009 5.9960095 62141.6579
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4498 3.1606333 23131.1197 23.034111 1982-1999 –> 2000-2009 5.4745944 59745.6683
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4498 3.4279215 23859.4301 20.596133 1982-1999 –> 2000-2009 6.0559912 62535.3303
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 4498 3.4422324 23896.9084 26.078436 1982-1999 –> 2000-2009 5.9276102 61667.8861
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4498 3.1217590 23019.7870 9.533753 1982-1999 –> 2000-2009 5.4653163 59840.3513
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 4498 3.2598479 23407.1692 21.545886 1982-1999 –> 2000-2009 5.6214408 60350.0047
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 4498 3.3155298 23559.5334 28.342757 1982-1999 –> 2000-2009 5.7006321 60662.9402
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 4498 3.3151122 23558.4003 24.409495 1982-1999 –> 2000-2009 5.6923345 60608.1629
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4498 3.4310425 23869.6170 9.979696 1982-1999 –> 2000-2009 5.9862956 62092.0427
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4498 3.2628903 23417.5613 14.449524 1982-1999 –> 2000-2009 5.7058395 60911.4237
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 4442 4.1070537 25168.3293 13.863109 2000-2009 –> 2010-2019 7.5402282 49041.5344
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4442 3.8394394 24571.7294 26.123588 2000-2009 –> 2010-2019 7.0000727 47702.8491
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4442 4.0023052 24938.8074 17.296252 2000-2009 –> 2010-2019 7.4302267 48798.2375
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4442 3.7122834 24272.5232 10.437560 2000-2009 –> 2010-2019 6.8340423 47292.3102
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 4442 3.9974673 24928.0621 24.472685 2000-2009 –> 2010-2019 7.2573152 48335.2313
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 4442 4.0095639 24954.9051 31.975915 2000-2009 –> 2010-2019 7.3250937 48514.4385
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 4442 4.0885036 25128.1125 28.115542 2000-2009 –> 2010-2019 7.4036158 48686.5128
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ temp + aou + nitrate + silicate 4442 4.1089479 25172.4256 13.888242 2000-2009 –> 2010-2019 7.6062423 49212.0955
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4442 4.0886781 25130.4915 12.725519 2000-2009 –> 2010-2019 7.5197206 49000.1085
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4442 3.9175879 24750.7398 19.561048 2000-2009 –> 2010-2019 7.1804782 48168.3011
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1730 2.7179751 8381.1368 19.481765 1982-1999 –> 2000-2009 4.6498640 21402.0459
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 1730 2.7637013 8438.8624 21.315365 1982-1999 –> 2000-2009 4.7024484 21481.9622
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1730 2.7175373 8382.5795 19.621909 1982-1999 –> 2000-2009 4.6392611 21372.4525
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1730 2.7189556 8384.3848 19.533390 1982-1999 –> 2000-2009 4.6553732 21421.9559
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 1730 2.7375588 8405.9776 21.801321 1982-1999 –> 2000-2009 4.6847146 21476.1783
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + aou + silicate + phosphate 1730 2.7274941 8393.2335 19.112523 1982-1999 –> 2000-2009 4.6727817 21457.4227
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1730 2.6311961 8270.8646 19.372096 1982-1999 –> 2000-2009 4.5387783 21214.4866
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1730 2.7235854 8388.2715 18.935888 1982-1999 –> 2000-2009 4.6746379 21470.9909
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1730 2.7211305 8385.1515 20.237531 1982-1999 –> 2000-2009 4.7028077 21565.3989
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1730 2.7223312 8386.6778 18.877895 1982-1999 –> 2000-2009 4.6747693 21473.8431
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1851 3.0470044 9389.5268 28.177862 2000-2009 –> 2010-2019 5.7649795 17770.6637
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1851 2.9837109 9313.8177 30.614565 2000-2009 –> 2010-2019 5.7020863 17697.4640
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1851 3.0123528 9349.1852 30.142298 2000-2009 –> 2010-2019 5.7298901 17731.7647
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1851 3.0283140 9366.7488 27.808246 2000-2009 –> 2010-2019 5.7511414 17754.0572
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1851 2.9968978 9328.1430 28.185677 2000-2009 –> 2010-2019 5.7180086 17713.2694
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1851 3.0265001 9364.5306 27.699676 2000-2009 –> 2010-2019 5.7469196 17748.7779
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1851 3.0150677 9352.5202 30.025581 2000-2009 –> 2010-2019 5.7340233 17736.9049
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 1851 2.9638075 9287.0400 31.214195 2000-2009 –> 2010-2019 5.7013663 17693.0177
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1851 2.9099823 9221.1906 28.356597 2000-2009 –> 2010-2019 5.5411784 17492.0552
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1851 3.0319042 9371.1351 26.973774 2000-2009 –> 2010-2019 5.7530348 17756.2865
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 2180 2.9271436 10881.3300 31.142233 1982-1999 –> 2000-2009 5.0708740 28388.8481
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2180 2.9263170 10882.0987 30.976023 1982-1999 –> 2000-2009 5.0686547 28386.4043
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ temp + aou + nitrate 2180 2.8405467 10748.3969 25.275324 1982-1999 –> 2000-2009 5.0200966 28386.8135
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 2180 2.8358808 10743.2292 25.065064 1982-1999 –> 2000-2009 4.9572737 28166.7410
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + nitrate + silicate 2180 2.8355818 10742.7695 24.935370 1982-1999 –> 2000-2009 5.0112238 28368.7936
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2180 2.8295985 10735.5599 24.650947 1982-1999 –> 2000-2009 4.9502721 28158.3516
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2180 2.9256214 10881.0620 31.490397 1982-1999 –> 2000-2009 5.0669091 28381.4364
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ temp + nitrate + phosphate_star 2180 2.8901875 10823.9332 30.191826 1982-1999 –> 2000-2009 5.0126698 28249.5622
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ temp + nitrate + silicate 2180 2.8847757 10815.7615 30.286954 1982-1999 –> 2000-2009 5.0750686 28493.6117
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 2180 2.8786524 10808.4972 29.328935 1982-1999 –> 2000-2009 5.0005297 28233.8397
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2269 3.0032036 11443.4890 35.408031 2000-2009 –> 2010-2019 5.8864053 22260.8710
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ temp + aou + nitrate 2269 3.0003090 11435.1129 35.472079 2000-2009 –> 2010-2019 5.8408556 22183.5098
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + nitrate + phosphate_star 2269 2.9944811 11428.2897 35.598032 2000-2009 –> 2010-2019 5.8303619 22171.5190
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + nitrate + silicate 2269 2.9896350 11420.9396 35.083206 2000-2009 –> 2010-2019 5.8252167 22163.7091
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2269 2.9844652 11415.0856 35.213894 2000-2009 –> 2010-2019 5.8140637 22150.6455
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 2269 2.9332149 11334.4805 39.694229 2000-2009 –> 2010-2019 5.8660386 22224.2629
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2269 2.9278627 11328.1925 39.841020 2000-2009 –> 2010-2019 5.8534840 22209.2546
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ temp + nitrate + phosphate_star 2269 2.9948883 11426.9067 35.063621 2000-2009 –> 2010-2019 5.8850758 22250.8399
Indo-Pacific (27.85,27.95] 3 cstar_tref ~ temp + nitrate + silicate 2269 2.9896354 11418.9402 35.101530 2000-2009 –> 2010-2019 5.8744110 22234.7018
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 2269 2.9860416 11415.4819 34.215196 2000-2009 –> 2010-2019 5.8646940 22223.9790
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1874 2.2254226 8328.3824 8.213484 1982-1999 –> 2000-2009 4.1475864 23025.3381
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1874 2.1764819 8247.0378 8.008203 1982-1999 –> 2000-2009 4.1478609 23125.1403
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1874 2.1853867 8262.3409 8.414958 1982-1999 –> 2000-2009 4.0761054 22844.4168
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1874 2.2254763 8330.4729 8.016438 1982-1999 –> 2000-2009 4.1604742 23076.5839
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + aou + silicate + phosphate 1874 2.2400322 8352.9070 8.262788 1982-1999 –> 2000-2009 4.1729211 23089.2909
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1874 2.1612514 8220.7181 7.893376 1982-1999 –> 2000-2009 4.0369110 22746.1298
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1874 2.2410173 8354.5550 8.252315 1982-1999 –> 2000-2009 4.1760178 23098.6757
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1874 2.2402921 8353.3418 8.387063 1982-1999 –> 2000-2009 4.1753042 23097.5051
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1874 2.2410941 8354.6834 8.263537 1982-1999 –> 2000-2009 4.1760090 23098.4906
Indo-Pacific (27.95,28.05] 3 cstar_tref ~ temp + silicate + phosphate_star 1874 2.2412172 8352.8892 8.303720 1982-1999 –> 2000-2009 4.1764439 23095.8385
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1947 2.4861902 9083.8130 7.989636 2000-2009 –> 2010-2019 4.7116129 17412.1954
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 1947 2.3580969 8877.8336 8.240477 2000-2009 –> 2010-2019 4.5565937 17160.5916
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1947 2.3523310 8870.3005 8.333592 2000-2009 –> 2010-2019 4.5288129 17117.3383
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 1947 2.4341302 9001.4081 8.536966 2000-2009 –> 2010-2019 4.6676988 17343.4847
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1947 2.4177604 8977.1320 8.454745 2000-2009 –> 2010-2019 4.6031470 17239.4730
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + aou + nitrate + silicate 1947 2.5024124 9109.1385 8.225297 2000-2009 –> 2010-2019 4.7299244 17441.0380
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1947 2.4905896 9092.6974 7.828543 2000-2009 –> 2010-2019 4.7160659 17423.1703
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 1947 2.4146387 8970.1010 9.079886 2000-2009 –> 2010-2019 4.6472170 17310.5156
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ temp + aou + silicate + phosphate 1947 2.5045103 9112.4016 7.859304 2000-2009 –> 2010-2019 4.7445425 17465.3087
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1947 2.3763489 8909.8577 8.844696 2000-2009 –> 2010-2019 4.5376004 17130.5758
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1324 1.8912175 5456.7099 9.677383 1982-1999 –> 2000-2009 3.5907844 15425.7957
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1324 1.9545900 5545.9870 9.345909 1982-1999 –> 2000-2009 3.6012403 15355.5048
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ sal + aou + silicate + phosphate 1324 1.9580254 5548.6371 8.723442 1982-1999 –> 2000-2009 3.5785948 15274.6030
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1324 1.8544164 5406.6747 9.352571 1982-1999 –> 2000-2009 3.4508616 15058.0298
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1324 1.9636975 5556.2969 9.075309 1982-1999 –> 2000-2009 3.6103752 15363.8995
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 1324 1.9609711 5552.6178 8.857553 1982-1999 –> 2000-2009 3.6020556 15342.8409
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1324 1.8686285 5426.8914 10.096758 1982-1999 –> 2000-2009 3.4780984 15119.7516
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ temp + aou + silicate + phosphate 1324 1.9007469 5470.0191 9.716826 1982-1999 –> 2000-2009 3.6088980 15464.8393
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1324 1.8163894 5351.8098 9.232290 1982-1999 –> 2000-2009 3.4429985 15098.7772
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1324 1.9017939 5471.4773 9.711032 1982-1999 –> 2000-2009 3.6117484 15471.6874
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1360 2.0343454 5803.1864 9.914816 2000-2009 –> 2010-2019 3.9255629 11259.8963
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1360 2.0274732 5795.9824 8.805418 2000-2009 –> 2010-2019 3.9820632 11341.9694
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1360 1.9697576 5717.4293 9.651852 2000-2009 –> 2010-2019 3.8241740 11124.1040
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1360 2.0098226 5772.1991 10.482006 2000-2009 –> 2010-2019 3.8784511 11199.0906
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ temp + aou + silicate + phosphate 1360 2.0462753 5819.0905 9.961593 2000-2009 –> 2010-2019 3.9470222 11289.1096
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1360 1.9324371 5665.3997 9.085089 2000-2009 –> 2010-2019 3.7488265 11017.2096
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 1360 2.0470292 5820.0924 9.958933 2000-2009 –> 2010-2019 3.9492407 11292.1511
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 1360 2.0591950 5836.2100 10.042639 2000-2009 –> 2010-2019 3.9734919 11325.0390
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ temp + silicate + phosphate + phosphate_star 1360 2.0465321 5819.4318 9.953488 2000-2009 –> 2010-2019 3.9483260 11290.9091
Indo-Pacific (28.05,28.1] 3 cstar_tref ~ temp + silicate + phosphate_star 1360 2.0614795 5837.2259 10.163759 2000-2009 –> 2010-2019 3.9774144 11326.3198
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 11224 1.6091138 42542.4782 18.147504 1982-1999 –> 2000-2009 3.0087667 113936.9488
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 11224 1.5002396 40971.7986 8.004441 1982-1999 –> 2000-2009 2.8930627 112169.3283
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + aou + silicate + phosphate 11224 1.4107353 39588.9379 13.634963 1982-1999 –> 2000-2009 2.6875359 107247.1839
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 11224 1.3189963 38081.5340 15.971439 1982-1999 –> 2000-2009 2.4901327 102228.5883
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 11224 1.5862087 42220.6432 9.703045 1982-1999 –> 2000-2009 3.0820221 116317.4676
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 11224 1.3473166 38558.4163 12.863312 1982-1999 –> 2000-2009 2.4731726 101101.8134
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ temp + aou + silicate + phosphate 11224 1.6342922 42891.0095 18.094769 1982-1999 –> 2000-2009 3.0554150 114904.6017
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 11224 1.3775899 39057.2243 16.750313 1982-1999 –> 2000-2009 2.6176135 105528.8068
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ temp + aou + silicate + phosphate_star 11224 1.6447617 43034.3568 17.962279 1982-1999 –> 2000-2009 3.0777450 115385.9647
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 11224 1.5452447 41633.3035 17.240082 1982-1999 –> 2000-2009 2.8745135 110929.3978
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 11207 1.8137161 45160.8874 16.519531 2000-2009 –> 2010-2019 3.4228300 87703.3656
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 11207 1.6174645 42596.0805 9.110699 2000-2009 –> 2010-2019 3.1177042 83567.8791
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + aou + silicate + phosphate 11207 1.5480882 41611.4714 10.763945 2000-2009 –> 2010-2019 2.9588235 81200.4093
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 11207 1.4639299 40360.6136 12.963230 2000-2009 –> 2010-2019 2.7829262 78442.1476
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 11207 1.7372541 44195.4697 9.352250 2000-2009 –> 2010-2019 3.3674020 87029.4823
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + silicate + phosphate + phosphate_star 11207 1.6961368 43658.5969 8.955224 2000-2009 –> 2010-2019 3.2823455 85879.2401
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 11207 1.5392831 41485.6222 11.209534 2000-2009 –> 2010-2019 2.8865997 80044.0386
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ temp + aou + silicate + phosphate 11207 1.8412538 45498.6415 16.503121 2000-2009 –> 2010-2019 3.4755459 88389.6510
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 11207 1.5203069 41207.5868 14.075793 2000-2009 –> 2010-2019 2.8978968 80264.8111
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ temp + nitrate + silicate + phosphate_star 11207 1.7456616 44303.6809 15.592009 2000-2009 –> 2010-2019 3.2909062 85936.9844

5.4.2 per fitting unit

lm_best %>%
  select(-n_predictors) %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab eras rmse_sum_mean ais_sum_mean
Atlantic (-Inf,26] 1982-1999 –> 2000-2009 3.0988101 1257.9681
Atlantic (-Inf,26] 2000-2009 –> 2010-2019 3.0547761 864.0338
Atlantic (26,26.5] 1982-1999 –> 2000-2009 8.5012528 13444.9046
Atlantic (26,26.5] 2000-2009 –> 2010-2019 8.4785323 9253.8626
Atlantic (26.5,26.75] 1982-1999 –> 2000-2009 6.4117995 15293.2942
Atlantic (26.5,26.75] 2000-2009 –> 2010-2019 6.8470909 10890.3848
Atlantic (26.75,27] 1982-1999 –> 2000-2009 4.0703593 20839.4142
Atlantic (26.75,27] 2000-2009 –> 2010-2019 4.7096363 16657.8181
Atlantic (27,27.25] 1982-1999 –> 2000-2009 4.1945731 17953.1542
Atlantic (27,27.25] 2000-2009 –> 2010-2019 4.4990301 14151.5590
Atlantic (27.25,27.5] 1982-1999 –> 2000-2009 5.0565772 20708.9566
Atlantic (27.25,27.5] 2000-2009 –> 2010-2019 5.9157668 15634.5553
Atlantic (27.5,27.75] 1982-1999 –> 2000-2009 5.4167513 28318.1706
Atlantic (27.5,27.75] 2000-2009 –> 2010-2019 6.0244873 21757.4549
Atlantic (27.75,27.85] 1982-1999 –> 2000-2009 3.9130680 8728.9979
Atlantic (27.75,27.85] 2000-2009 –> 2010-2019 4.1836464 6679.8979
Atlantic (27.85,27.95] 1982-1999 –> 2000-2009 6.1167300 10469.1849
Atlantic (27.85,27.95] 2000-2009 –> 2010-2019 6.8798694 8261.6451
Atlantic (27.95,28.05] 1982-1999 –> 2000-2009 9.1754995 15323.9955
Atlantic (27.95,28.05] 2000-2009 –> 2010-2019 8.7752705 10850.6420
Atlantic (28.05,28.1] 1982-1999 –> 2000-2009 2.0704017 4859.7825
Atlantic (28.05,28.1] 2000-2009 –> 2010-2019 2.2528351 3828.8985
Atlantic (28.1,28.15] 1982-1999 –> 2000-2009 1.5405256 4558.9191
Atlantic (28.1,28.15] 2000-2009 –> 2010-2019 1.7533868 3705.6884
Atlantic (28.15,28.2] 1982-1999 –> 2000-2009 1.1660779 5988.3313
Atlantic (28.15,28.2] 2000-2009 –> 2010-2019 1.4065509 4977.8560
Atlantic (28.2, Inf] 1982-1999 –> 2000-2009 0.9456358 7097.0853
Atlantic (28.2, Inf] 2000-2009 –> 2010-2019 1.0940809 6582.5017
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2009 14.7456081 77049.0566
Indo-Pacific (-Inf,26] 2000-2009 –> 2010-2019 14.2498151 54801.5960
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2009 9.5575738 71070.4026
Indo-Pacific (26,26.5] 2000-2009 –> 2010-2019 9.7948479 50797.6723
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2009 8.0250085 55117.4616
Indo-Pacific (26.5,26.75] 2000-2009 –> 2010-2019 8.3604747 39847.4626
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2009 8.4259485 65513.3022
Indo-Pacific (26.75,27] 2000-2009 –> 2010-2019 9.2586021 48539.0446
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2009 7.9993340 77208.2493
Indo-Pacific (27,27.25] 2000-2009 –> 2010-2019 9.4365461 58942.5021
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2009 6.7983942 64689.3635
Indo-Pacific (27.25,27.5] 2000-2009 –> 2010-2019 7.8429729 49959.8160
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2009 5.7626064 61055.5468
Indo-Pacific (27.5,27.75] 2000-2009 –> 2010-2019 7.3097036 48475.1619
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2009 4.6595436 21433.6737
Indo-Pacific (27.75,27.85] 2000-2009 –> 2010-2019 5.7142628 17709.4261
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2009 5.0233572 28321.4402
Indo-Pacific (27.85,27.95] 2000-2009 –> 2010-2019 5.8540607 22207.3293
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2009 4.1445634 23029.7410
Indo-Pacific (27.95,28.05] 2000-2009 –> 2010-2019 4.6443215 17304.3691
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2009 3.5575655 15297.5729
Indo-Pacific (28.05,28.1] 2000-2009 –> 2010-2019 3.9154573 11246.5798
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2009 2.8259980 109975.0101
Indo-Pacific (28.1, Inf] 2000-2009 –> 2010-2019 3.1482980 83845.8009

5.5 Target variable coefficients

A data frame to map the target variable is prepared.

# create table with two era belonging to one eras
eras_forward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(era, lead(era), sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_backward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_era <- full_join(eras_backward, eras_forward) %>% 
  filter(str_detect(eras, "NA") == FALSE)

# extend best model selection from eras to era
lm_best_target <- full_join(
  lm_best %>% select(basin, gamma_slab, model, eras),
  eras_era)

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.6 Plot selected model residuals

# plot model diagnostics, if activated
if (params_local$plot_all_figures == "y") {
  # mutate predictors column
  lm_best_plot <- lm_best_target %>%
    select(basin, gamma_slab, model, eras, era) %>%
    mutate(
      predictors = str_remove(model, paste(params_local$MLR_target, "~ ")),
      predictors = str_replace_all(predictors, "\\+ ", "")
    )
  
  # loop across all basins, era, gamma slabs, and MLRs
  # fit all MLR models
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[2]
      print(i_basin)
      print(i_era)
      
      GLODAP_basin_era <- GLODAP %>%
        filter(basin == i_basin, era == i_era)
      
      for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
        #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
        print(i_gamma_slab)
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        lm_best_basin_era_slab <- lm_best_plot %>%
          filter(basin == i_basin, era == i_era, gamma_slab == i_gamma_slab)
        
        for (i_eras in unique(lm_best_basin_era_slab$eras)) {
          #i_eras <- unique(lm_best_basin_era_slab$eras)[1]
          print(i_eras)
          
          lm_best_basin_era_slab_eras <- lm_best_basin_era_slab %>%
            filter(eras == i_eras)
          
          for (i_predictors in unique(lm_best_basin_era_slab_eras$predictors)) {
            #i_predictors <- unique(lm_best_basin_era_slab$predictors)[1]
            print(i_predictors)
            # extract one model definition
            i_lm <- lm_all %>%
              filter(predictors == i_predictors) %>%
              select(lm_coeff) %>%
              pull()
            
             # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
            
            # plot model diagnostics vs predictors
            
            p_model_predictors <- ggnostic(
              i_lm_fit,
              columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
              title = paste(
                "era:",
                i_era,
                "| eras:",
                i_eras,
                "| basin:",
                i_basin,
                "| gamma slab:",
                i_gamma_slab,
                "| predictors:",
                i_predictors
              )
            )
            
            ggsave(
              plot = p_model_predictors,
              path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
              filename = paste(
                "MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_predictors)
            
            
            # plot model diagnostics vs location
            
            GLODAP_basin_era_slab <- GLODAP_basin_era_slab %>%
              mutate(fitted = i_lm_fit$fitted.values,
                     residuals = i_lm_fit$residuals)
            
            GLODAP_basin_era_slab_long <- GLODAP_basin_era_slab %>% 
              pivot_longer(cols = c(params_local$MLR_target , fitted, residuals),
                           names_to = "estimate",
                           values_to = "value"
              ) %>% 
              pivot_longer(cols = c(lat, lon, depth),
                           names_to = "coordinate_type",
                           values_to = "coordinate_value"
              )

             p_model_coordinate <- GLODAP_basin_era_slab_long %>%
              ggplot(aes(coordinate_value, value)) +
              geom_bin2d() +
              scale_fill_viridis_c() +
              labs(
                title = paste(
                  "era:",
                  i_era,
                  "| eras:",
                  i_eras,
                  "| basin:",
                  i_basin,
                  "| gamma slab:",
                  i_gamma_slab,
                  "| predictors:",
                  i_predictors
                )
              ) +
              facet_grid(estimate~coordinate_type,
                         scales = "free")

            ggsave(
              plot = p_model_coordinate,
              path = paste(path_version_figures, "eMLR_diagnostics", sep = ""),
              filename = paste(
                "Location_MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_coordinate)
            
          }
          
        }
        
      }
    }
  }
  
  rm(
    lm_best_plot,
    lm_best_basin_era_slab,
    i_rmse,
    GLODAP_basin_era,
    GLODAP_basin_era_slab,
    i_lm,
    lm_all_fitted,
    i_basin,
    i_era,
    i_gamma_slab,
    i_predictors,
    lm_all,
    i_aic,
    i_n_predictors,
    i_resid_max
  )
  
}

Individual residual plots of the MLR models for each basin, era, eras and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/eMLR_diagnostics/

5.7 Cant coeffcients

A data frame of coefficient offsets is prepared to facilitate the direct mapping of Cant.

# pivot long format
lm_best_long <- lm_best_target %>%
  pivot_longer(cols = starts_with("coeff_"),
               names_to = "term",
               values_to = "estimate",
               names_prefix = "coeff_")

# subtract coefficients of adjacent era
lm_best_long <- lm_best_long %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, eras, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term, eras) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot back to wide format
lm_best_cant <- lm_best_long %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

5.8 Write files

lm_best_target %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    era,
    starts_with("coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

lm_best_cant %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    starts_with("delta_coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_cant.csv",
                  sep = ""))

lm_best %>%
  write_csv(paste(path_version_data,
                  "lm_best.csv",
                  sep = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 7).

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")

Version Author Date
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
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")

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

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)

Version Author Date
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

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

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26] 9 4 4 9 8 6 2
(26,26.5] 9 4 5 7 1 8 8
(26.5,26.75] 9 2 6 8 4 10 5
(26.75,27] 9 2 6 8 4 10 5
(27,27.25] 8 4 5 8 6 10 3
(27.25,27.5] 10 7 3 6 5 7 4
(27.5,27.75] 10 5 5 6 6 8 3
(27.75,27.85] 10 2 8 6 6 7 3
(27.85,27.95] 10 2 8 8 3 6 5
(27.95,28.05] 8 3 6 9 2 8 7
(28.05,28.1] 10 1 9 7 4 6 4
(28.1,28.15] 9 2 8 9 3 7 5
(28.15,28.2] 9 10 0 6 4 6 5
(28.2, Inf] 9 9 1 7 5 7 4
total 129.00 57.00 74.00 104.00 61.00 106.00 63.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26] 9 4 4 9 8 6 2
(26,26.5] 8 5 4 7 1 8 9
(26.5,26.75] 9 2 6 8 4 10 5
(26.75,27] 9 2 6 8 4 10 5
(27,27.25] 8 5 4 7 7 10 3
(27.25,27.5] 10 7 3 6 5 7 4
(27.5,27.75] 7 3 5 7 10 8 0
(27.75,27.85] 7 3 5 7 10 8 0
(27.85,27.95] 10 2 8 8 3 6 5
(27.95,28.05] 9 2 7 9 2 7 7
(28.05,28.1] 9 1 9 8 3 6 5
(28.1,28.15] 9 1 9 8 3 6 5
(28.15,28.2] 8 10 0 7 4 6 5
(28.2, Inf] 9 8 2 7 6 8 3
total 121.00 55.00 72.00 106.00 70.00 106.00 58.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26] 9 2 7 9 2 7 7
(26,26.5] 9 2 7 9 2 7 7
(26.5,26.75] 7 4 6 9 2 7 7
(26.75,27] 10 2 8 8 2 5 6
(27,27.25] 8 4 6 9 2 6 7
(27.25,27.5] 9 3 6 8 5 10 3
(27.5,27.75] 8 4 5 9 7 9 2
(27.75,27.85] 8 2 7 9 2 8 7
(27.85,27.95] 7 7 3 7 1 7 8
(27.95,28.05] 7 3 5 9 2 10 7
(28.05,28.1] 7 3 7 8 5 10 4
(28.1, Inf] 8 3 6 8 4 10 5
total 97.00 39.00 73.00 102.00 36.00 96.00 70.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26] 8 3 6 9 2 7 8
(26,26.5] 7 2 6 9 2 9 7
(26.5,26.75] 7 4 5 9 1 8 8
(26.75,27] 10 2 8 8 2 5 6
(27,27.25] 9 1 8 8 3 8 6
(27.25,27.5] 9 3 6 8 5 10 3
(27.5,27.75] 8 5 4 9 6 9 3
(27.75,27.85] 7 4 5 10 5 9 4
(27.85,27.95] 7 8 2 7 1 6 9
(27.95,28.05] 10 4 6 8 4 7 5
(28.05,28.1] 7 3 5 9 2 10 7
(28.1, Inf] 8 3 6 8 5 10 4
total 97.00 42.00 67.00 102.00 38.00 98.00 70.00

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)

Version Author Date
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
0b19f6e Donghe-Zhu 2021-03-27
e2704ca Donghe-Zhu 2021-03-27
3061a0b Donghe-Zhu 2021-03-27
b883157 Donghe-Zhu 2021-03-27
d19654d Donghe-Zhu 2021-03-26
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
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ac99ae5 jens-daniel-mueller 2021-01-29
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fb8a752 Donghe-Zhu 2020-12-23
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sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

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

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

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

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

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