RHG_graph_coefficients: Compute power function coefficients

In FluvialGeomorph/RegionalCurve: A Collection of Hydraulic Regional Curve Relationships

Compute power function coefficients

Description

Computes the regional curve power function coefficients from a table of regional hydraulic curve coordinates contained in a built-in table.

Usage

RHG_graph_coefficients(region, drainageArea, dimensionType)

Arguments

region	character; The region that a dimension will be calculated for. See the regional_curves$region field for a complete list.
drainageArea	numeric; The upstream drainage area of the location of the dimension (in square miles).
dimensionType	character; The dimension type: "area", "depth", "width"

Details

Regional curves are typically displayed on log-log plots. This method is required to extract the formula for calculating the y-axis value on these graphs (i.e., cross-sectional area, width, mean depth) from the x-axis value (i.e., drainage area). Monomial relationships of the form y=ax^m, known as power functions, appear as straight lines in a log–log graph, with the exponent (m) and constant (a) term corresponding to slope and intercept of the line (y = mx + b).

Used internally to convert historic studies that do not report regional
relationships using the "power function" convention.

Value

A data frame containing the value of slope (m) and intercept (a) for the requested region and hydraulic dimension.

See Also

Other data: RHG_graph(), region_min_max(), regional_curves(), regional_curve

Examples

# Calculate the slope and intercept for a watershed with drainage area = 1
# square mile in the Eastern United States region.
RHG_graph_coefficients(region = "Eastern United States",
                       drainageArea = 1,
                       dimensionType = "area")

FluvialGeomorph/RegionalCurve documentation built on Oct. 2, 2023, 9:35 a.m.