# Spatial Complexity

## A Course of 8 Lectures at ASU, Fall 2011

This course provides an outline of the complexity sciences with a specific focus on spatial systems such as cities, regions, built environments and related human systems. A particular perspective that is developed is related to the distribution of entities that comprise such systems with a focus on scaling, emergence, and nonlinearity, set within the wider context of new modeling styles such as those involving agents and cells, agent based modeling (ABM) and cellular automata (CA).

*Lecture 1: Defining Complexity*

*Lecture 2: Hierarchies, Emergence, Feedback, and NonLinearity*

*Lecture 3: Simple Spatial Growth Models: The Origins of Scaling in Size Distributions*

*Lecture 4: Scaling and Size Distributions: Rank Size and Urban Dynamics*

*Lecture 5: Networks and Flows*

*Lecture 6: Modeling Spatial Interaction*

*Lecture 7: Entropy, Complexity, and Information*

*Lecture 8: Extending Complexity: Coupling Spatial Interaction Models*

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