Arid
DOI10.3390/math7100987
Continuum Modeling of Discrete Plant Communities: Why Does It Work and Why Is It Advantageous?
Meron, Ehud1,2; Bennett, Jamie J. R.1; Fernandez-Oto, Cristian3; Tzuk, Omer1; Zelnik, Yuval R.4,5; Grafi, Gideon6
通讯作者Meron, Ehud
来源期刊MATHEMATICS
EISSN2227-7390
出版年2019
卷号7期号:10
英文摘要Understanding ecosystem response to drier climates calls for modeling the dynamics of dryland plant populations, which are crucial determinants of ecosystem function, as they constitute the basal level of whole food webs. Two modeling approaches are widely used in population dynamics, individual (agent)-based models and continuum partial-differential-equation (PDE) models. The latter are advantageous in lending themselves to powerful methodologies of mathematical analysis, but the question of whether they are suitable to describe small discrete plant populations, as is often found in dryland ecosystems, has remained largely unaddressed. In this paper, we first draw attention to two aspects of plants that distinguish them from most other organisms-high phenotypic plasticity and dispersal of stress-tolerant seeds-and argue in favor of PDE modeling, where the state variables that describe population sizes are not discrete number densities, but rather continuous biomass densities. We then discuss a few examples that demonstrate the utility of PDE models in providing deep insights into landscape-scale behaviors, such as the onset of pattern forming instabilities, multiplicity of stable ecosystem states, regular and irregular, and the possible roles of front instabilities in reversing desertification. We briefly mention a few additional examples, and conclude by outlining the nature of the information we should and should not expect to gain from PDE model studies.
英文关键词continuum models partial differential equations individual based models plant populations phenotypic plasticity vegetation pattern formation desertification homoclinic snaking front instabilities
类型Article
语种英语
国家Israel ; Chile ; France
开放获取类型gold, Green Submitted
收录类别SCI-E
WOS记录号WOS:000498404700116
WOS关键词LOCALIZED PATTERN-FORMATION ; BANDED VEGETATION ; CATASTROPHIC SHIFTS ; REGIME SHIFTS ; DESERT ; SOIL ; ECOSYSTEMS ; DYNAMICS ; SYSTEMS ; GROWTH
WOS类目Mathematics
WOS研究方向Mathematics
EI主题词2019-10-01
来源机构Ben-Gurion University of the Negev
资源类型期刊论文
条目标识符http://119.78.100.177/qdio/handle/2XILL650/310163
作者单位1.Ben Gurion Univ Negev, Blaustein Inst Desert Res, Dept Solar Energy & Environm Phys, Sede Boqer Campus, IL-84990 Sede Boqer, Israel;
2.Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel;
3.Univ los Andes, Fac Ingn & Ciencias Aplicadas, Complex Syst Grp, Av Mon Alvaro del Portillo 12-455, Santiago 7620086, Chile;
4.CNRS, Theoret & Expt Ecol Stn, Ctr Biodivers Theory & Modelling, F-09200 Moulis, France;
5.Paul Sabatier Univ, F-09200 Moulis, France;
6.Ben Gurion Univ Negev, French Associates Inst Agr & Biotechnol Drylands, Jacob Blaustein Inst Desert Res, Sede Boqer Campus, IL-84990 Sede Boqer, Israel
推荐引用方式
GB/T 7714
Meron, Ehud,Bennett, Jamie J. R.,Fernandez-Oto, Cristian,et al. Continuum Modeling of Discrete Plant Communities: Why Does It Work and Why Is It Advantageous?[J]. Ben-Gurion University of the Negev,2019,7(10).
APA Meron, Ehud,Bennett, Jamie J. R.,Fernandez-Oto, Cristian,Tzuk, Omer,Zelnik, Yuval R.,&Grafi, Gideon.(2019).Continuum Modeling of Discrete Plant Communities: Why Does It Work and Why Is It Advantageous?.MATHEMATICS,7(10).
MLA Meron, Ehud,et al."Continuum Modeling of Discrete Plant Communities: Why Does It Work and Why Is It Advantageous?".MATHEMATICS 7.10(2019).
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