Using persistent homology to quantify a diurnal cycle in hurricanes
Using persistent homology to quantify a diurnal cycle in hurricanes
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DOI：
10.1016/j.patrec.2020.02.022
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发表时间：
2020-05
期刊：
影响因子：
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通讯作者：
Sarah Tymochko;E. Munch;J. Dunion;Kristen Corbosiero;R. Torn
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作者：
Sarah Tymochko;E. Munch;J. Dunion;Kristen Corbosiero;R. Torn
热带气旋（TC）的日循环是出现在卫星图像中的云的日循环，可能对TC的结构和强度有影响。在红外（IR）卫星图像上可以看到，昼夜模式是云场中的周期性脉冲，它从几乎所有南极盆地TC的中心向外辐射传播。这些昼夜脉冲是这种昼夜循环的一个显着特征，每天日落时，这些昼夜脉冲开始在风暴内核中形成，表现为云顶温度冷却的区域。冷却区呈现环状，因为云顶的温度升高发生在其内侧边缘，冷却区一夜之间远离风暴，到第二天下午，冷却区距离环流中心数百公里。红外卫星图像中最先进的TC日周期测量在分析定性观测之外的行为方面能力有限。我们提出了一种方法，用于量化的TC昼夜周期使用一维持久的同源性，拓扑数据分析的工具，通过跟踪最大的持久性和量化的周期，使用离散傅立叶变换。使用地球同步业务环境卫星红外图像从飓风费利克斯和伊万，我们的方法是能够检测到一个近似的日常周期。
The diurnal cycle of tropical cyclones (TCs) is a daily cycle in clouds that appears in satellite images and may have implications for TC structure and intensity. The diurnal pattern can be seen in infrared (IR) satellite imagery as cyclical pulses in the cloud field that propagate radially outward from the center of nearly all Atlantic-basin TCs. These diurnal pulses, a distinguishing characteristic of this diurnal cycle, begin forming in the storm’s inner core near sunset each day, appearing as a region of cooling cloud-top temperatures. The area of cooling takes on a ring-like appearance as cloud-top warming occurs on its inside edge and the cooling moves away from the storm overnight, reaching several hundred kilometers from the circulation center by the following afternoon. The state-of-the-art TC diurnal cycle measurement in IR satellite imagery has a limited ability to analyze the behavior beyond qualitative observations. We present a method for quantifying the TC diurnal cycle using one-dimensional persistent homology, a tool from Topological Data Analysis, by tracking maximum persistence and quantifying the cycle using the discrete Fourier transform. Using Geostationary Operational Environmental Satellite IR imagery from Hurricanes Felix and Ivan, our method is able to detect an approximate daily cycle.