Braided channel networks exhibit a complex interplay between spatial and temporal dynamics. Their behavior is characterized by both simple and multiscaling patterns, and the mechanisms underlying the stochastic processes associated with this dynamics remain incompletely understood. Leveraging Taylor's pioneering work [Nature (London) 189, 732 (1961)], which unveiled scaling relations in a plethora of natural phenomena through what is now known as the Taylor power law (TPL), we propose a physical interpretation of braided channel systems. This interpretation utilizes a specific class of transformation functions applied to the mean of fluvial geomorphic variables measured along cross sections, namely, the number of wet channels, the average width of wet channels, and the entropic braiding index. By analyzing remotely sensed data of the Brahmaputra-Jamuna River in Bangladesh we obtain valuable insight into the spatiotemporal scaling of these geomorphological variables and gather a deeper understanding of the complexity of braided channel systems. Finally, through a direct analysis employing the TPL in conjunction with a fixed-mass multifractal algorithm, we prove that braided channel networks exhibit a multiscaling behavior.

中文翻译：

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编织通道网络的多尺度行为：泰勒定律变量变换的另一种表述

编织通道网络表现出空间和时间动态之间复杂的相互作用。它们的行为具有简单和多尺度模式的特征，并且与这种动态相关的随机过程背后的机制仍然不完全清楚。利用泰勒的开创性工作 [ Nature (London) 189 , 732 (1961)]，通过现在称为泰勒幂律 (TPL) 揭示了大量自然现象中的标度关系，我们提出了编织通道系统的物理解释。这种解释利用了一类特定的变换函数，应用于沿横截面测量的河流地貌变量的平均值，即湿河道的数量、湿河道的平均宽度和熵编织指数。通过分析孟加拉国雅鲁藏布江-贾木纳河的遥感数据，我们获得了对这些地貌变量的时空尺度的宝贵见解，并对辫状河道系统的复杂性有了更深入的了解。最后，通过使用 TPL 结合固定质量多重分形算法进行直接分析，我们证明了编织通道网络表现出多尺度行为。