Graphically interpreting how incision thresholds influence topographic and scaling properties of modeled landscapes

Abstract. We examine the influence of incision thresholds on topographic and scaling properties landscapes that follow a landscape evolution model (LEM) with terms for stream-power incision, linear diffusion, uniform uplift. Our analysis uses three main tools. First, we graphical behavior theoretical relationships between curvature steepness index (which depends drainage area slope). These plot as straight lines case steady-state LEM. have slopes intercepts provide estimates characteristic scales. Such can be viewed counterparts slope–area relationships, which power laws in detachment-limited but not diffusion. illustrate response these curvature–steepness to changes values parameters. Second, define Péclet number quantifies competition while taking threshold into account. how this captures degree dissection. Third, characterize using ratio it index. This is dimensionless LEM use reflects fraction by rate reduced due threshold; way, relative across landscape. tools used together graphically topography process respond thresholds.