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Updated: Jan 18, 2026
14:55
Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
Published on: January 20, 2023
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Summary
This study analyzes urban population dynamics using Rogers' model to assess how natural increase and migration impact population growth. A new perturbation theory offers a simpler sensitivity analysis for demographic parameters.
Area of Science:
- Demography
- Mathematical Modeling
- Urban Studies
Background:
- Understanding long-term urban population dynamics requires analyzing natural increase and migration.
- Existing sensitivity analysis methods for demographic models can be mathematically complex.
Purpose of the Study:
- To investigate the relative contributions of natural increase and migration to urban population dynamics.
- To develop a novel perturbation theory for analyzing demographic models.
- To provide tools for assessing the sensitivity of population distribution and growth to demographic parameter changes.
Main Methods:
- Utilized Rogers' model for multiregional population growth.
- Applied perturbation theory to the system of difference equations derived from the model.
- Conducted a numerical example to demonstrate the perturbation theory's application.
Main Results:
- The perturbation theory provides a method for sensitivity analysis of demographic models.
- This approach simplifies the analysis compared to traditional matrix derivative calculations.
- The method effectively assesses the impact of changes in fundamental demographic parameters.
Conclusions:
- The developed perturbation theory offers a computationally efficient tool for demographic analysis.
- This method enhances the understanding of factors influencing stable population distribution and growth rates.
- The study demonstrates a practical application of mathematical modeling in urban demography.
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