在科尔莫戈罗夫平面中通过相对复杂度变化和相互作用的复杂度幅度探索整体和组件复杂性:美国河流的案例研究
Dragutin T Mihailović1, Slavica Malinović-Milićević2,3
1Faculty of Natural Sciences, Department of Physics, University of Novi Sad, 21000 Novi Sad, Serbia.
Entropy (Basel, Switzerland)
|October 28, 2025
概括
研究人员使用科尔摩戈罗夫复杂度 (KC) 度量测量了河流系统的复杂性. 这项分析揭示了美国河流流,温度,降水和动态的模式,为水文复杂性提供了新的见解.
科学领域:
- 水文和环境科学 水文和环境科学
- 复杂系统理论 复杂系统理论
- 时间序列分析时间序列分析
背景情况:
- 由于环境和动态影响,量化流程复杂性是具有挑战性的.
- 了解系统复杂性对于有效的水资源管理至关重要.
- 现有的方法可能无法完全捕捉河流系统内的复杂相互作用.
研究的目的:
- 应用科尔摩戈罗夫复杂度 (KC) 度量来分析美国河流流的复杂度.
- 研究温度,降水和河流动力学 (利亚普诺夫指数) 对整体系统复杂性的贡献.
- 为了可视化和量化不同河流系统和时间尺度的复杂性相对变化.
主要方法:
- 利用了科尔摩戈罗夫复杂度光谱 (KC光谱) 和科尔摩戈罗夫复杂度平面 (KC平面) 的指标.
- 从1879个美国河道测量站 (1950-2015年) 分析了每月流量时间序列.
- 计算了规范化的KC光谱,主/个体振幅,以及复杂度的相对变化 (RCC).
主要成果:
- 在重叠的二维KC平面上可视化交互式主和单个振幅.
- 量化了流程及其组件的复杂性相对变化 (RCC).
- 根据正常化的振幅间隔,在美国河流中确定了不同的复杂性模式.
结论:
- 科尔莫戈罗夫复杂度指标为评估水文系统复杂度提供了一个强大的框架.
- 这项研究揭示了环境因素和河流动力学如何相互作用,塑造河流的复杂性.
- 这些发现有助于更深入地了解美国河流系统的行为和变化.
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