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USGS Nonlinear Baseflow Separation Model

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bfsep

The baseflow separation model bfsep is a wrapper library around the code and tools built by Christopher Konrad at USGS (Konrad 2020) and is used for the estimation of the baseflow component of streamflow and is executed as a set of 12 functions. The model is run using the function bf_sep(), which requires six arguments. All other functions are called by bf_sep(). All required functions can be loaded in the library:

library(bfsep)

The model has been calibrated for 13208 selected gaging sites. Parameters are available for the USGS gage parameters dataset bf_params_usgs included with this package, as excerpted below. Description of the parameters in this dataset can be viewed by calling the help ?bf_params_usgs.

knitr::kable(tail(bf_params_usgs), digits=2, format.args = list(scientific = FALSE))
site_no AREA Lb X1 Wb POR ALPHA BETA Ks Kb Kz Qthresh Rs Rb1 Rb2 Prec Frac4Rise Error
13203 50148890 242176000 34713.66 26804.42 1100.43 0.15 0.00 17.53 84.51 1520.39 0.33 269158.88 -0.35 -0.08 -0.01 3889.35 0.05 0.03
13204 50252000 1254400 1814.29 182.12 53.99 0.15 0.00 1.00 44.46 226.69 0.03 48.94 -0.35 -0.03 0.00 24.47 0.05 0.04
13205 50274000 5964800 6519.25 1406.67 43.04 0.15 0.01 2.40 641.71 1083.45 0.05 97.88 -0.35 -0.04 0.00 24.47 0.05 0.05
13206 50295000 947200 197.17 104.47 1037.47 0.15 0.00 1.00 1.73 3.91 0.04 48.94 -0.35 -0.03 0.00 24.47 0.05 0.02
13207 50333500 13824000 7495.11 2.46 69.39 0.15 0.00 1.10 530.88 1001.58 0.01 509.93 -0.76 -0.33 -0.33 24.47 0.05 0.00
13208 50345000 5376000 3156.42 137.89 62.39 0.15 0.00 1.06 103.10 653.17 0.00 48.94 -0.20 -0.03 0.00 24.47 0.05 0.08

Sites are in rows with identification number in the first column, the 16 parameters values, and the error for the calibration.

The parameters for a site must be concatenated into 3 vectors with six elements each before using them as arguments to bf_sep(). Helper functions for each set exist to facilitate retrieving the gage-specific parameters.

bfsep works best in conjunction with the USGS dataRetrieval package to fetch time-series data from specific gages.

Installation

You can install the development version of bfsep from GitHub with:

# install.packages("devtools")
devtools::install_github("jvandens/bfsep")

Example

This is a basic example which shows how to download discharge data from a single USGS site and calculate the baseflow separation

library(dataRetrieval)

# SAUK RIVER NEAR SAUK, WA
siteNumber <- "12189500"
parameterCd <- "00060"  #discharge in cfs

# Raw daily data:
rawDailyData <- readNWISdv(
  siteNumber,
  parameterCd,
  startDate = "2000-01-01",
  endDate = "2000-12-31")

Rename the columns to ‘friendly’ names and the bfsep model requires flow to be in m3/day so add a conversion column as default returned is in cfs

library(magrittr)

# rename to friendly names and convert to m3/day
rawDailyData <- renameNWISColumns(rawDailyData) %>% 
  dplyr::mutate(Flow_m3 = Flow / 35.3147 * 3600 * 24)

Plot the data as a quick check

library(ggplot2)

ggplot(rawDailyData, aes(x=Date, y=Flow_m3)) +
  geom_line()

bfsep has helper functions to lookup the parameters for a site which are required for the model. The gage-specific parameters required are the basin characteristics (basin_char()), groundwater hydrology (gw_hyd()), and flow parameters (flow()). Each of these functions takes the USGS gage ID character string as it’s single argument.

# model args
basin_char <- basin_char(siteNumber) 
gw_hyd <- gw_hyd(siteNumber)
flow <- flow(siteNumber) 
timestep <- 'day' 
error_basis <- 'total' 

# prepare the gage data as vectors
dt <- rawDailyData$Date #VECTOR OF DATES
qin <- rawDailyData$Flow_m3 #VECTOR OF DAILY STREAMFLOW VALUES IN M3/day

Run the baseflow separation model, save the results to a dataframe and output the associated error

sep <- bf_sep(qin, dt, timestep, error_basis, basin_char, gw_hyd, flow)
#> [1] 0.01406752

A basic plot of the results:

sep.plt <- sep %>% 
  dplyr::select(Date:DirectRunoff.L3) %>% 
  tidyr::pivot_longer(2:6, names_to = "var", values_to = "Flow_m3/day") 

ggplot(sep.plt, aes(x = Date, y = `Flow_m3/day`, color = var)) +
  geom_line(show.legend = FALSE) +
  facet_wrap(~var, ncol=1)
#> Warning: Removed 2 row(s) containing missing values (geom_path).

References

Konrad, Christopher P. 2020. “Non-linear baseflow separation model with parameters and results (ver. 2.0, October 2022).” U.S. Geological Survey Data Release. https://doi.org/https://doi.org/10.5066/P9AIPHEP.

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