Through the consideration of a stochastic matching model dependent on a probability function built from the Heron’s formula, we analyze the emergence and the dynamics of short agrifood sale circuits in form of time-evolving random hypergraphs. These marketing circuits, which are used as a supportive policy for promoting local food consumption, typify short distribution channels. Although bipartite matching can be easily derived from the framework, we move our focus on the matching of triplets of players representing buyers, retailers and sellers. Their conditional pairings with respect to standard and social preferences are both taken into consideration. Our results show that the emergence of short food supply chains is triggered by a three-dimensional stochastic matching mechanism. Their time evolution is found to be governed by both stable and unstable dynamics, the latter being subject to bounded antiperiodic oscillations. Via the use of a Poisson process, we then redirect our interest toward spatial randomness and the number of circuits attainable in a defined territory. The model unveils a restricted spread of short circuits over the entire territory, which, in expectation, can only be a partial substitute for long supply chains. The outcomes show consistency with the agribusiness patterns currently observable in France.

通过考虑依赖于基于Heron公式建立的概率函数的随机匹配模型，我们以时间演化的随机超图的形式分析了短农副产品销售电路的出现和动态。这些营销渠道被用作促进当地食品消费的辅助政策，代表着短分销渠道。尽管二分匹配可以很容易地从框架中得出，但我们将注意力集中在代表买方，零售商和卖方的参与者三胞胎的匹配上。他们在标准和社会偏好方面的条件配对都被考虑在内。我们的结果表明，短期食品供应链的出现是由三维随机匹配机制触发的。他们的时间演化受稳定和不稳定动力学的支配，后者受有限的反周期振荡的影响。然后，通过使用泊松过程，我们将兴趣转向空间随机性和在定义区域内可达到的回路数。该模型揭示了短路在整个地区的有限扩散，预计这只能部分替代长供应链。结果表明与法国目前可观察到的农业综合企业模式一致。该模型揭示了短路在整个地区的有限扩散，预计这只能部分替代长供应链。结果表明与法国目前可观察到的农业综合企业模式一致。该模型揭示了短路在整个地区的有限扩散，预计这只能部分替代长供应链。结果表明与法国目前可观察到的农业综合企业模式一致。