Ripley's K and its derivative, the L function, are widely used for detecting clusters over various spatial scales. The figure below is one of my favorites for illustrating the concept of a phenomenon displaying one spatial pattern over long distances, and another pattern over short distances. (Source) The genius of the K function is … Continue reading Ripley K
I just read Geoffrey Jacquez's (2008) paper on “Spatial Cluster Analysis”. Chapter 22 In “The Handbook of Geographic Information Science”, S. Fotheringham and J. Wilson (Eds.). Blackwell Publishing, pages 395-416. I enjoyed reading the paper for the simple fact that it points to a broad range of considerations that should enter into mainstream cluster analysis … Continue reading What else to do in Clusters Analyses?
Gentrification is the process of middle income people taking over older neighborhoods in central cities by purchasing homes, renovating them and changing the character of the neighborhoods completely. This process has been ongoing for decades and represents part of the back to the city movement of both capital and people in America, (Slater and Smith … Continue reading Modeling Gentrification
This week I read Michael Batty's (2001) paper on polynucleated urban landscape. Admittedly, the paper was published a long time ago, but the topic is still relevant as there is still a lot of interest in understanding the structure of system of urban places. Batty's paper essentially argues that the appearance of edge cities in … Continue reading Rank Size Rule and Polynucleated Cities
Agent- based modeling involves creating and giving instructions to different classes of virtual agents, then observing the patterns that emerge, in both time and space, as the agents interact with each other and with their environment over many runs. The emerging patterns offer insights into how a phenomenon might grow and change over time. Agent … Continue reading Agent Based Modeling
Human geography, like other social science disciplines, has it fair share of models. Models are abstractions or simplifications of the inner working of complex phenomena that exist in the real world. We build models to reflect out understanding of how things work. The models will provide us with a way to describe phenomena as well … Continue reading Classical Models in Geography
Markov Chains are based on the idea that the next future state of a system can be predicted from the current state and not on the history of the system. Statistically, we expressed this idea as: You can visualize Markov Chains on this page. If you have two images each with the same number of … Continue reading Landuse Modeling with Markov Chains