Knowledge Resource Center for Ecological Environment in Arid Area
DOI | 10.3390/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 |
EISSN | 2227-7390 |
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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