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Bankfull Regression Equations for CONUS


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Created: Feb 12, 2024 at 11:41 p.m.
Last updated: Feb 12, 2024 at 11:53 p.m.
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Abstract

For hydrological and hydraulic modeling, the bankfull width and depth are
important parameters that are challenging to measure in the field and/or
estimate a priori. Many studies suggested different methodologies for estimating
these parameters based on various geomorphological and hydrological characteristics.
One such study is by [Bieger et al. (2015)](https://doi.org/10.1111/jawr.12282)
which proposed a methodology to estimate bankfull width and depth for the conterminous
United States (CONUS) using regression equations. They gathered hydraulic geometry
data from hundreds of sites across the CONUS and developed regional regression
equations for the
[Physiographic Regions of CONUS](https://www.sciencebase.gov/catalog/item/631405bbd34e36012efa304e).
The general form of the regression equations is:

\begin{equation}
Y = a * A^b,
\end{equation}

where `Y` is the bankfull width or depth, `A` is the drainage area, and `a` and `b`
are the coefficients of the regression equation. The coefficients `a` and `b` are
specific to each physiographic region. Thus, bankfull width and depth can be
estimated for any location in the CONUS using the drainage area and the coefficients
of the corresponding physiographic region.

However, the dataset provided by Bieger et al. (2015) is not readily available
for use in hydrological and hydraulic modeling. This repository aims to provide
a methodology to generate a geospatial dataset for the bankfull width and depth of the CONUS using the regression equations provided by Bieger et al. (2015).
So, users can easily query the bankfull width and depth for any location in the
CONUS using the drainage area and the coefficients of the corresponding physiographic.

Subject Keywords

Coverage

Spatial

Coordinate System/Geographic Projection:
WGS 84 EPSG:4326
Coordinate Units:
Decimal degrees
Place/Area Name:
CONUS
North Latitude
49.3717°
East Longitude
-66.9572°
South Latitude
24.5472°
West Longitude
-124.7339°

Content

readme.md

Bankfull Regression Equations for CONUS

The dataset generated by the methodology presented in this repository can be directly downloaded from this repository (bankfull_physio.parquet) or HydroShare.

Motivation

For hydrological and hydraulic modeling, the bankfull width and depth are important parameters that are challenging to measure in the field and/or estimate a priori. Many studies suggested different methodologies for estimating these parameters based on various geomorphological and hydrological characteristics. One such study is by Bieger et al. (2015) which proposed a methodology to estimate bankfull width and depth for the conterminous United States (CONUS) using regression equations. They gathered hydraulic geometry data from hundreds of sites across the CONUS and developed regional regression equations for the Physiographic Regions of CONUS. The general form of the regression equations is:

\begin{equation} Y = a * A^b, \end{equation}

where Y is the bankfull width or depth, A is the drainage area, and a and b are the coefficients of the regression equation. The coefficients a and b are specific to each physiographic region. Thus, bankfull width and depth can be estimated for any location in the CONUS using the drainage area and the coefficients of the corresponding physiographic region.

However, the dataset provided by Bieger et al. (2015) is not readily available for use in hydrological and hydraulic modeling. This repository aims to provide a methodology to generate a geospatial dataset for the bankfull width and depth of the CONUS using the regression equations provided by Bieger et al. (2015). So, users can easily query the bankfull width and depth for any location in the CONUS using the drainage area and the coefficients of the corresponding physiographic

Methodology

You can run bankfull_physio.py to reproduce the dataset. The script depends on pandas, geopandas, pyogrio, and openpyxl packages. Here is a brief overview of the methodology to generate the bankfull width and depth dataset:

  1. From the supplementary material of Bieger et al. (2015), which is a Microsoft Word file, convert SUPPLEMENTARY TABLE 1 to an Excel file. Save the results to bankfull_equations.xlsx.
  2. Extract the coefficients of the regression equations for each physiographic region.
  3. Download the Physiographic Regions of CONUS shapefile from the ScienceBase.
  4. Ensure the keywords for the regions in the shapefile match the keywords in the Excel file.
  5. Use the shapefile and the coefficients to generate the bankfull width and depth dataset for the CONUS.
  6. Save the dataset to a GeoParquet file.

Bankfull width

How to Cite

Chegini, T. (2024). Bankfull Regression Equations for CONUS, HydroShare, http://www.hydroshare.org/resource/5d3ab5cc521344c881c38621fa3769f1

This resource is shared under the Creative Commons Attribution CC BY.

http://creativecommons.org/licenses/by/4.0/
CC-BY

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