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| A Spatial Network Model with Dynamic Constraints and Its Double Power Law Feature |
| XU Jing, QIAN Jianghai
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| College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China |
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Abstract In order to find the possible generation mechanism of double power law distribution, a spatial network model with dynamic constraints was proposed in this paper based on double-value confined areas. The results of theoretical analysis and simulation showed that the degree distribution of the model presented a single power law in the early stage of evolution, and then evolved into a stable double power law. Furthermore, we made an empirical analysis on Chinese aviation network to verify the validity of the model in reality. The empirical results not only gave the evolution patterns of degree distribution as predicted by theoretical model, but also enabled us to directly observe the evolution trend of the confined area required by model to match its degree distribution. Our theoretical model could provide a possible explanation for the emergence of double power law degree distribution.
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Received: 11 February 2020
Published: 23 September 2020
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