Whittle Estimation for Lagrangian Trajectories - Regional Analysis and Environmental Consequences

这一提议将开发新的方法来总结通过分析空间轨迹的多个时间序列而获得的空间信息。该项目将涉及采用申请人最近提出的分析单一时间序列轨迹的方法，以便对在特定空间区域观察到的多个轨迹进行连贯分析。根据这些进展，将提出区域空间结构的摘要，以及评估此类摘要所固有的不确定性的方法。特别是，作为试验床，将对全球漂移方案的区域海洋观测集实施这一方案，该方案有助于更深入地了解海洋环流及其对气候变化的影响。因此，这项建议的主要范围是测试对多组轨道观测所载空间信息进行综合统计分析的可行性。这是一个雄心勃勃的研究项目，如果成功，将为生态学、海洋学和交通管理等广泛的应用打开大门。

This proposal will develop new methodology for summarising the spatial information obtained from analysing multiple time series of spatial trajectories. The project will involve adapting recent methodology by the applicants for the analysis of single time series trajectories, to develop the coherent analysis of multiple trajectories observed in a given spatial region. From these advances, summaries of regional spatial structure will be proposed, as well as methods for assessing the uncertainty inherent to such summaries. In particular, as a testbed, such will be implemented for regional sets of oceanographic observations from the Global Drifter Program, which contributes to providing deeper understanding of ocean circulation and its impact on climate change. The main scope of this proposal is therefore to test the feasibility of aggregate statistical analysis of the spatial information contained in multiple sets of trajectory observations. It is an ambitious research project which, if successful, would open the door to a wide set of applications such as ecology, oceanography and traffic management.