论文标题
基于辐射模型的城市公路运输多样性
Highway freight transportation diversity of cities based on radiation models
论文作者
论文摘要
我们使用五个月内包含约1,506万辆卡车运输记录的独特数据集,根据卡车运输概率$ p_ {ij} $从一个城市到另一个城市,我们调查了338个中国城市的高速公路运输多样性。运输概率是根据基于地理距离及其基于成本的版本的驱动距离作为成本代理的基于成本的版本来计算的。对于每个模型,我们都考虑人口和国内生产总值,并在定量上非常相似。我们发现,运输概率具有很好的幂律尾巴,所有型号的尾部指数接近0.5。每个模型中的两个运输概率落在对角线$ p_ {ij} = p_ {ji} $周围,但通常不相同。此外,根据原始辐射模型和基于成本的辐射模型计算出的相应运输概率也围绕对角线$ p_ {ij}^{\ rm {geo}} = p_ {ij}^{ij}^{\ rm {cost}} $。我们根据发现每个城市对彼此接近的四组运输概率来计算四组高速公路卡车运输多样性。此外,发现在原始和基于成本的辐射模型中,人口,国内生产总值,流量和液压量表是权力定律,作为功率定律。这意味着一个更发达的城市通常在高速公路卡车运输中具有更高的多样性,这反映了一个更发达城市通常具有更多样化的经济结构的事实。
Using a unique data set containing about 15.06 million truck transportation records in five months, we investigate the highway freight transportation diversity of 338 Chinese cities based on the truck transportation probability $p_{ij}$ from one city to the other. The transportation probabilities are calculated from the radiation model based on the geographic distance and its cost-based version based on the driving distance as the proxy of cost. For each model, we consider both the population and the gross domestic product, and find quantitatively very similar results. We find that the transportation probabilities have nice power-law tails with the tail exponents close to 0.5 for all the models. The two transportation probabilities in each model fall around the diagonal $p_{ij}=p_{ji}$ but are often not the same. In addition, the corresponding transportation probabilities calculated from the raw radiation model and the cost-based radiation model also fluctuate around the diagonal $p_{ij}^{\rm{geo}}=p_{ij}^{\rm{cost}}$. We calculate four sets of highway truck transportation diversity according to the four sets of transportation probabilities that are found to be close to each other for each city pair. Further, it is found that the population, the gross domestic product, the in-flux, and the out-flux scale as power laws with respect to the transportation diversity in the raw and cost-based radiation models. It implies that a more developed city usually has higher diversity in highway truck transportation, which reflects the fact that a more developed city usually has a more diverse economic structure.