A Markovian Entropy-Maximizing Model of Population Distribution
Bibliographic Data
| ID | 4141985 |
|---|---|
| Authors | R Lee (0000-0002-9698-810X, McMaster University, corresponding author) |
| Year | 1974 |
| Volume | 6 |
| Issue | 6 |
| Pages | 693-702 |
| Publication date | 1974-12-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Environment and Planning A Economy and Space (JOURNAL) |
| Journal identifiers | ISSN: 0308-518X • E-ISSN: 1472-3409 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1068/a060693 |
| OpenAlex | W2087410187 |
| Language | EN |
| Citations received | 2 |
| References cited | 16 |
The entropy-maximizing formalism used in urban and regional modelling has typically been applied within a static or equilibrium context. This paper presents a dynamic entropy model of the distribution of population over time. It is initially assumed that a Markov chain adequately represents the residential relocation process. The strategy then involves maximizing the entropy of a Markov chain, subject to suitable constraints, so as to generate least-biased estimates of the Markovian parameters. If a stationary process is assumed, these in turn allow the projection of the probability distribution vector of population densities over successive, equal, time intervals
Entropy rate · Joint quantum entropy · Markov chain · Markov model · Markov process · Markov property · Markov renewal process · Mathematical optimization · Maximum entropy probability distribution · Physics · Population · Principle of maximum entropy · Statistical physics · Statistics · Computer Science · Impact of Light on Environment and Health · Land Use and Ecosystem Services · Mathematics · Urban Design and Spatial Analysis · Applied Mathematics
Information Theory and Statistical Mechanics
A statistical theory of spatial distribution models
Transportation and Urban Land
Disaggregating elementary residential location models
Mathematical Economics
On the Use of Markov Chains in Movement Research
Derivation of the Negative Exponential Model by an Entropy Maximising Method
The Population Density and Rent Distribution Models within a Multicentre Framework
A Dynamic Disequilibrium Model of Residential Location
The Calibration of Gravity, Entropy, and Related Models of Spatial Interaction
Equilibrium Land Values and Population Densities in an Urban Setting
| Unique citing works | 2 |
|---|---|
| Citations per year | 0,04 |
| Citation span | 1978 - 1983 (6) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 2 |