Modeling Soil, Hillslope, Landscape Evolution
“Simplicity you can argue for.”
10.1 Brief Outline
- Numerical model building
- Purpose / Goals
- Identification of most key factors/variables
- Assumptions and methods
- Test results
- Verification and data mined data
Describe the purpose: The purpose of this section is to create a quantitative framework, a model, to explore the relationship between bioturbation, erosion, and particle size distribution and their collective impact on soil profile and landscape development.
Identify the key variables: erosion rate, mixing rate, local vs. non-local ratio, change in animal activity with depth, bulk density, and soil property characteristics.
Describe methods [very WIP, considering using python and landlab for portions, need to investigate further]
10.2 Important equations / variables
Hill slope creep \[ \frac{dz}{dt}=D\frac{d^2z}{dx^2} \]
Soil mixing \[ \frac{dy}{dz}=D(z)\frac{dy}{dz}+\frac{dz}{dt}\frac{dy}{dz} \]
Diffusion coefficient \[ D(z)=D_0e^{-z/z_b} \] Soil Production \[ P = e^{-az} \]