Sea-ice floe-size distribution in the context of spontaneous scaling emergence in stochastic systems
Sea-ice floe-size distribution in the context of spontaneous scaling emergence in stochastic systems
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DOI：
10.1103/physreve.81.066123
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发表时间：
2010-06-28
影响因子：
2.4
通讯作者：
Herman, Agnieszka
中科院分区：
文献类型：
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作者：
Herman, Agnieszka
海冰浮冰粒径分布（FSD）影响着海洋-大气相互作用的许多方面。然而，有关FSD在极地海洋的数据仍然稀少，形成所观察到的FSD属性的过程知之甚少。通常情况下，幂律FSD假设，虽然没有提供可行的解释，这一个也没有为观察到的分布的其他属性。因此，不存在能够预测任何特定情况下的FSD参数的模型。在这里，我表明，所观察到的FSD可以很好地表示为截断Pareto分布P（x）= x（-1-alpha）exp[（1-alpha）/x]，这是一个新兴的性质，一定的一组乘法随机系统，广义Lotka-Volterra（GLV）方程描述。基于这一认识，开发一个简单的基于代理的GLV型海冰模型的可能性被认为是。与简单的幂律FSD相反，GLV给出了与观测一致的总浮冰周长和浮冰面积分布的一致估计。
Sea-ice floe-size distribution (FSD) in ice-pack covered seas influences many aspects of ocean-atmosphere interactions. However, data concerning FSD in the polar oceans are still sparse and processes shaping the observed FSD properties are poorly understood. Typically, power-law FSDs are assumed although no feasible explanation has been provided neither for this one nor for other properties of the observed distributions. Consequently, no model exists capable of predicting FSD parameters in any particular situation. Here I show that the observed FSDs can be well represented by a truncated Pareto distribution P(x) = x(-1-alpha) exp[(1-alpha)/x], which is an emergent property of a certain group of multiplicative stochastic systems, described by the generalized Lotka-Volterra (GLV) equation. Building upon this recognition, a possibility of developing a simple agent-based GLV-type sea-ice model is considered. Contrary to simple power-law FSDs, GLV gives consistent estimates of the total floe perimeter, as well as floe-area distribution in agreement with observations.