[under construction...]

Complexity of population lattice

[introduction][result][program and source code][online resource]

Introduction:

what's a population lattice? A group of geographically discretely distributed populations connected by migration. Show in Figure 1 (Click to enlarge).

Fig 1. Click to enlarge
Figure 1. A population lattice, 4 by 3. Each population is numbered. Individuals in a population can move to a neighbor population. Neighborhood is defined as the nearest populations of a population. For example, population (11) has 4 neighbors:(10)(12)(01)(21). Population (00) has only two neighbors: (10)(01).

Result:

1. Why wild at center?

In a population lattice, the population having more neighbors display wilder behavior. Their densities fluctuate greatly.

Here is a example of a 3 by 3 lattice. Totally there are 4 populations having 2 neighbors, 4 having 3 neighbors and 1 having 4 neighbors. Their density fluctuation are shown in the following 3 figures (click the figures to enlarge).

population at the corners.
population at the edge.
population in the center.

 


Program and source code

Population Lattice: Lattice.exe
Two Populations: clone2.exe
To execute the above programs, you also need egavga.bgi.
Source code: Lattice, two-population

Online Resources:

Complexity online
    A very useful and complete collection of complexity stuff.

Complexity Digest | Beida | US | Germany |
    A collection of articles related to complexity. Beida has mirror.

Measure of complexity
    Bibliography of measures of complexity. A thorough list from 1936 to 1997.

Entropy on the World Wide Web
    Links to related topics. information and coding theory, dynamical systems, biology, etc. And relevant journals.

IEEE Information Theory Society at UCSD

A Short Course in Information Theory
    In pdf format.

A good class on Entropy, information and complexity, in Chinese
Prof.Zhang's personal webpage
    (a note is included here.)

Some new ideas here.(in Chinese)

A collection of complexity webpage, eJournals and institutes.
    (in China, Prof ZHANG, Xuewen)

 

 

Complexity Related Journals
Other Science Journals
Magazines
Newspapers & Media
Announcements of Complexity Related Organizations
Other Complexity Related Web Sites