Saturday, September 06, 2008

COMBINING THE ADVANTAGES OF AGENT-BASED & AND EQUATION-BASED APPROACHES

I am currently working on ways to better understand the interaction (or tension according to some) between sustainable development and economic growth as a means of informing policies about intra- and intergenerational welfare. The approach that i take is to use a fused top-down and bottom-up approach by integrating equation-based and agent-based models.

Bobashev and Epstein (2007) publish a relevant paper: A Hybrid Epidemic Model: Combining the Advantages of Agent-based and Equation-based Approaches (see also Heterogeneity and Network Structure in the Dynamics of Diffusion: Comparing Agent-Based and Differential Equation Models by Rahmandad and Sterman 2006)

Abstract
Agent-based models (ABMs) are powerful in describing structured epidemiological processes involving human behavior and local interaction. The joint behavior of the agents can be very complex and tracking the behavior requires a disciplined approach. At the same time, equationbased models (EBMs) can be more tractable and allow for at least partial analytical insight. However, inadequate representation of the detailed population structure can lead to spurious results, especially when the epidemic process is beginning and individual variation is critical. In this paper, we demonstrate an approach that combines the two modeling paradigms and introduces a hybrid model that starts as agent-based and switches to equation-based after the number of infected individuals is large enough to support a population-averaged approach. This hybrid model can dramatically save computational times and, more fundamentally, allows for the mathematical analysis of emerging structures generated by the ABM.
Details: http://www.brookings.edu/papers/2007/winter_hybridmodel_epstein.aspx


Is this a step towards on how to verify and validate agent-based computational model? (see also Empirical validation of agent-based models)

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