We are concluding the ongoing series of posts on the compartmental voter model. As in [1] we will conclude with comparing the model against UK census data. Though note that the interactive app does not allow for the comparison - it just allows to generate semi-realistic spatial rank-size distributions.

Linear systems behave nicely - whenever you slightly increase the input, the output also increases only by a small amount. Thus linear systems are quite easy to predict. You can make small errors in measurements of your inputs, which will have almost no impact on the accuracy of your prediction.

Nonlinear systems are different in this regard - even small difference in the input can lead to divergent outputs. In other words the differences between the systems trajectories, or alternatively differences between your prediction and the actual behavior of the system, won't be noticeable at first, but with time those small differences will get amplified. Typical example being weather, where tomorrows forecast are likely to be more reliable than 7-day forecast.

More nonlinear systems, dynamical chaos and chaos theory in the following video by Seeker. We invite you to watch it.

Today we continue our series of posts on compartmental voter model. Recently I had another idea how to examine the impact of the finite capacity on the compartmental voter model dynamics. And this approach also involves populations dynamics in the model.

For a different approach see the earlier post on the finite capacity in the compartmental voter model.

Today we continue our series of posts on compartmental voter model. Today we ask a question: is there a symmetry between stationary (temporal) and spatial distributions? Note that we have observed this symmetry in the infinite capacity case, but we haven't yet looked from this perspective in the finite capacity case. In this case we just know that we no longer observe the Beta distributions, which we have observed in the infinite capacity case.

In the last post we have introduced you to the compartmental voter model [1]. While we have introduced the concept of capacity and allowed for a brief exploration of it, this time we dig slightly deeper into this topic.