干旱区生态环境知识资源中心(Arid): An integrodifference model for vegetation patterns in semi-arid environments with seasonality

Arid

DOI	10.1007/s00285-020-01530-w
	An integrodifference model for vegetation patterns in semi-arid environments with seasonality
	Eigentler, Lukas; Sherratt, Jonathan A.
通讯作者	Eigentler, L
来源期刊	JOURNAL OF MATHEMATICAL BIOLOGY
ISSN	0303-6812
EISSN	1432-1416
出版年	2020
卷号	81 期号:3 页码:875-904
英文摘要	Vegetation patterns are a characteristic feature of semi-deserts occurring on all continents except Antarctica. In some semi-arid regions, the climate is characterised by seasonality, which yields a synchronisation of seed dispersal with the dry season or the beginning of the wet season. We reformulate the Klausmeier model, a reaction-advection-diffusion system that describes the plant-water dynamics in semi-arid environments, as an integrodifference model to account for the temporal separation of plant growth processes during the wet season and seed dispersal processes during the dry season. The model further accounts for nonlocal processes involved in the dispersal of seeds. Our analysis focusses on the onset of spatial patterns. The Klausmeier partial differential equations (PDE) model is linked to the integrodifference model in an appropriate limit, which yields a control parameter for the temporal separation of seed dispersal events. We find that the conditions for pattern onset in the integrodifference model are equivalent to those for the continuous PDE model and hence independent of the time between seed dispersal events. We thus conclude that in the context of seed dispersal, a PDE model provides a sufficiently accurate description, even if the environment is seasonal. This emphasises the validity of results that have previously been obtained for the PDE model. Further, we numerically investigate the effects of changes to seed dispersal behaviour on the onset of patterns. We find that long-range seed dispersal inhibits the formation of spatial patterns and that the seed dispersal kernel's decay at infinity is a significant regulator of patterning.
英文关键词	Pattern formation Integrodifference model Nonlocal dispersal Seasonal environments Semi-arid landscapes
类型	Article
语种	英语
开放获取类型	hybrid, Green Submitted, Green Published
收录类别	SCI-E
WOS记录号	WOS:000566041100002
WOS关键词	BANDED VEGETATION ; KLAUSMEIER MODEL ; SEED DISPERSAL ; SELF-ORGANIZATION ; SOIL ; ECOSYSTEMS ; DYNAMICS ; RAINFALL ; COEXISTENCE ; PATCHINESS
WOS类目	Biology ; Mathematical & Computational Biology
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/326038
作者单位	[Eigentler, Lukas; Sherratt, Jonathan A.] Heriot Watt Univ, Maxwell Inst Math Sci, Dept Math, Edinburgh EH14 4AS, AS, Scotland; [Eigentler, Lukas] Univ Dundee, Sch Life Sci, Div Mol Microbiol, Dundee DD1 5EH, Scotland; [Eigentler, Lukas] Univ Dundee, Sch Sci & Engn, Div Math, Dundee DD1 4HN, Scotland
推荐引用方式 GB/T 7714	Eigentler, Lukas,Sherratt, Jonathan A.. An integrodifference model for vegetation patterns in semi-arid environments with seasonality[J],2020,81(3):875-904.
APA	Eigentler, Lukas,&Sherratt, Jonathan A..(2020).An integrodifference model for vegetation patterns in semi-arid environments with seasonality.JOURNAL OF MATHEMATICAL BIOLOGY,81(3),875-904.
MLA	Eigentler, Lukas,et al."An integrodifference model for vegetation patterns in semi-arid environments with seasonality".JOURNAL OF MATHEMATICAL BIOLOGY 81.3(2020):875-904.