期刊
POPULATION ECOLOGY
卷 56, 期 2, 页码 427-434出版社
WILEY
DOI: 10.1007/s10144-013-0415-0
关键词
Inverse problem; Mechanistic-statistical model; Parametric estimation; Partial differential equation; Population spread; Statistical inference
类别
In this note, we discuss parameter estimation for population models based on partial differential equations (PDEs). Parametric estimation is first considered in the perspective of inverse problems (i.e., when the observation of the solution of a PDE is exactly observed or noise-free). Then, adopting the point of view of statistics, we turn to parametric estimation for PDEs using more realistic noisy measurements. The approach that we describe uses mechanistic-statistical models which combine (1) a PDE-based submodel describing the dynamic under study and (2) a stochastic submodel describing the observation process. This Note is expected to contribute to bridge the gap between modelers using PDEs and population ecologists collecting and analyzing spatio-temporal data.
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