Dynamics of the Mokauea Fishpond

丰富的鱼类产量记录表明，夏威夷土著居民在可持续和有效的鱼塘管理实践方面拥有丰富的知识。Mokauea鱼塘位于Kalihi Ahupua‘a的Mokauea岛上，就在O’ahu南部海岸线附近。在20世纪初的S，这个地区是40多个鱼塘，每年生产近一吨鱼。目前，Mokauea鱼塘不起作用，即使基本水质参数在鱼类生产可接受的范围内。这项调查旨在了解莫卡韦厄鱼塘和其他夏威夷鱼塘的运作情况。这项研究将利用统计学和应用数学的工具，同样重要的是，将整合夏威夷土著文化和鱼塘从业者的古代知识。这项研究的结果将从西方科学和数学语言的视角为夏威夷传统的可持续水产养殖实践提供见解。此外，调查结果将有助于提供有价值的信息，以解决日益重要的可持续粮食生产问题。为了实现本次调查的目标，将在一项为期一年的监测研究中收集与莫卡韦厄池塘的物理属性有关的数据。这些数据将使用数学建模软件进行分析，以开发鱼塘中水温和循环模式之间的动态关系模型。温度分布模型将根据能量平衡原理绘制，而水循环模型将基于浅水循环模型(圣维南方程)。来自持续观察的数据以及与夏威夷土著水产养殖从业者的对话将为数学建模过程提供信息。最后，调查旨在开发、组织和维护一个在线中心，用于收集研究中收集的数据以及其他可用的数据和关于Mokauea鱼塘及其周围地区的研究。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

Records of abundant fish production indicate Native Hawaiians' wealth of knowledge about sustainable and effective fishpond management practice. The Mokauea fishpond is located on Mokauea island of the Kalihi ahupua'a just off the southern coastline of O'ahu. In the early 1900's, this region was the site of over forty fishponds, producing nearly one ton of fish per year. Currently, the Mokauea fishpond is not functional, even though the basic water quality parameters are within acceptable ranges for fish production. This investigation aims to understand the workings of the Mokauea fishpond and other Hawaiian fishponds. The research will utilize tools from statistics and applied mathematics, and, just as importantly, will integrate the ancient knowledge from Native Hawaiian cultural and fishpond practitioners. The results of the study will provide insights into traditional Native Hawaiian sustainable aquaculture practices, viewed from the lenses of Western scientific and mathematical language. Further, findings will contribute information valuable to addressing the increasingly important issue of sustainable food production. To achieve the goals of this investigation, data relating to the physical attributes of the Mokauea pond will be collected over a year-long monitoring study. These data will be analyzed using mathematical modeling software to develop models of the dynamic relationships between water temperature and circulation patterns at play in the fishpond. The model for the temperature profile will be drawn based on the energy balance principle, while the water circulation model will be based on the shallow water circulation model (Saint Venant equations). Data from the sustained observation along with conversations with Native Hawaiian aquaculture practitioners will inform the mathematical modeling process. Finally, the investigation aims to develop, organize, and maintain an online hub for the data collected in the study as well as other available data and studies on the Mokauea fishpond and surrounding areas.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.