Optimal Allocation of Sampling Effort in Depletion Surveys

Optimal Allocation of Sampling Effort in Depletion Surveys
复制标题

DOI:
10.1007/s13253-013-0132-3
复制
发表时间:
2013-06-01
影响因子:
1.4
通讯作者:
Christman, Mary C.
Christman, Mary C.
中科院分区:
数学4区
文献类型:
--
作者:
Bohrmann, Thomas F.;Christman, Mary C.

文献摘要

被引文献

相似文献

我们考虑设计枯竭或清除调查的问题,作为估计不完全捕获率或检出率的种群的动物丰度的一部分。在一项损耗调查中,从一个给定的区域捕获动物,进行计数,然后从种群中剔除。然后在同一地点重复这一过程几次,当地种群的捕获量减少共同通知当地丰度和捕获或检出率,我们称之为可捕获性。这种调查的目的可能是了解可捕获性过程,然后将这些资料应用于对种群进行更广泛的调查,以便准确估计总丰度。在这篇文章中,我们考虑了如何在枯竭点最优地分配采样努力的问题。分配抽样工作包括确定在给定地点重复消耗过程的次数,以及在抽样中包括多少个不同的地点。通过最大化描述可捕获性的参数的Fisher信息作为调查设计的函数,我们试图估计每个站点的最佳消耗数量,这取决于可捕获性值本身。我们还讨论了从Fisher信息推导中显而易见的枯竭采样的其他方面,包括低捕获值(例如低于0.15)采样的困难,我们考虑了我们的结果与马里兰州自然资源部进行的切萨皮克湾蓝蟹丰度年度调查有关。
We consider the problem of designing a depletion or removal survey as part of estimating animal abundance for populations with imperfect capture or detection rates. In a depletion survey, animals are captured from a given area, counted, and withheld from the population. This process is then repeated some number of times at the same location and the decreasing catches of the local population inform jointly local abundance and the capture or detection rate, which we call catchability. The aim of such a survey may be to learn about the catchability process, and this information may then be applied to a broader survey of the population so as to accurately estimate total abundance. In this manuscript we consider the problem of how to optimally allocate sampling effort at the depletion sites. Allocating sampling effort involves determining how many times to repeat the depletion process at a given site versus how many different sites to include in the sampling. By maximizing the Fisher information of the parameter describing catchability as a function of the survey design, we attempt to estimate the optimal number of depletions per site, which depends on the catchability value itself. We also discuss other aspects of depletion sampling apparent from the derivation of Fisher information, including the difficulties of sampling with low catchability values (e.g. below 0.15), and we consider our results with respect to the annual Chesapeake Bay blue crab abundance survey conducted by the Maryland Department of Natural Resources.