Bayesian inference via Parallel Tempering for Badlands

Bayesian inference via Parallel Tempering for Badlands

Bayesian inference via Parallel Tempering for Badlands

Overview

Basin and Landscape Dynamics (Badlands) is a parallel TIN-based landscape evolution model, built to simulate topography development at various space and time scales. The model is capable of simulating hillslope processes (linear & non-linear diffusion), fluvial incision (‘modified’ Stream Power Law, Transport Capacity Law both for sediment erosion/transport/deposition), spatially and temporally varying geodynamic (horizontal + vertical displacements) and climatic forces which can be used to simulate changes in base level, as well as effects of climate changes or sea-level fluctuations. The model uses gFlex package which is designed to solve elastic plate flexure for applications to Earth’s lithosphere.

Rain Posterior Plot Rain Trace Plot Crater Two parameter posterior Crater Two parameter trace

Comparison of PT-Bayeslands with SC-Bayeslands for the Cr problem for 50,000 iterations. The panels show estimates of the posterior distribution and trace-plot of the precipitation ($\rho$) for the SC-Bayeslands and PT-Bayeslands respectively. \textcolor{blue}{The trace-plots show the accepted or current values of the chain for the given samples}. Note that the results for SC-Bayeslands are taken from earlier single chain experiments (with 5 \% burnin) while PT-Bayeslands features 25 \%burn-in.