Theoretical Frameworks for Ecological Dynamics Subject to Stoichiometric Constraints
受化学计量约束的生态动力学理论框架
基本信息
- 批准号:0077790
- 负责人:
- 金额:$ 21.5万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2000
- 资助国家:美国
- 起止时间:2000-09-01 至 2005-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Kuang0077790 All organisms are composed of multiple chemical elementssuch as carbon, nitrogen, and phosphorus. Recent research in thearea known as ecological stoichiometry has highlighted theecological importance of the relative abundance of chemicalconstituents, known to vary considerably among species and acrosstrophic levels. However, most theoeretical studies in ecologyhave until very recently ignored the sources and consequences ofthis chemical heterogeneity. The investigator and his colleaguesundertake theoretical investigations of ecological stoichiometry.They develop a relatively new theoretical framework forecological dynamics that explicitly incorporates stoichiometricconstraints. This base model involves a stoichiometriccounterpart of the familiar Rosenzweig-MacArthur equations inwhich the effective carrying capacity of the resource species andthe transfer efficiency of the consumer species are constrainedby stoichiometric principles. Introduction of stoichiometricconsiderations in these equations (here, akin to "food quality")allows for a rich array of ecologically realistic dynamics,including deterministic extinction of the consumer species whenresources are abundant but of poor quality. They expand thismodel in five different directions, to explore ecologicalrealities (i.e., complications) whose consideration has provedilluminating in other, non-stoichiometric settings. Specifically,they analyze the dynamics of 1) a multi-nutrient model; 2)trophically complex models in which multiple consumer speciesshare a resource; 3) time delays in nutrient recycling that are arealistic component of terrestrial ecosystems; 4) two patchmodels featuring habitat heterogeneity and dispersal of theconsumer; and 5) age structured models in which juvenile andadult consumers differ in their nutrient requirements. Theproject aims to provide an analytically rigorous foundation forburgeoning empirical research into ecological stoichiometry. All living things, including humans, are constructed ofapproximately the same set of basic building blocks, chemicalelements such as carbon (C), nitrogen (N), phosphorus (P), andseveral dozen more in smaller amounts. However, differentorganisms contain different proportions of these key elements intheir biomass and thus must extract these elements from theirenvironment to differing degrees. In many situations, theenvironment does not provide these key nutrient elements in theabundance and proportions that are optimal for organism growthand reproduction. Thus, the chemical environment of life may setlimits on the success of organisms in various situations. In thisproject the investigators use mathematical models to simulate theflow of multiple chemical elements in natural food webs to betterunderstand how the requirements of living things for multiplechemical elements establish key feedbacks between the living andnon-living world. This work is important for two reasons. First,it may provide a better fundamental understanding of how chemicalelements move through food webs. Second, improved fundamentalknowledge of how nutrients move in the environment and how tosimulate those movements with mathematical tools may help predictand manage natural and human-dominated ecosystems, includingthose affected by nutrient inputs from human activities (e.g. Nand P inputs from fertilizer, sewage) or by global change (e.g.effects of increased atmospheric carbon dioxide on C and nutrientflow in the environment).
Kuang0077790所有生物都由多种化学元素组成,例如碳,氮和磷。 在被称为生态化学计量学的Thearea的最新研究强调了化学生相对丰度的生态学重要性,而化学生的相对丰度在物种和跨性水平之间已有很大变化。 但是,直到最近忽略了这种化学异质性的来源和后果,大多数生态学的理论研究。 研究者及其同学对生态化学计量的理论研究。他们开发了一个相对较新的理论框架的预报动力学,该动力学明确地融合了化学计量符号。 该基本模型涉及熟悉的Rosenzweig-Macarthur方程的化学计量范围,其中资源物种的有效承载能力以及消费者物种的转移效率受到限制。 在这些方程式中引入化学计量刻度(在此类似于“食品质量”)可以实现一系列生态现实的动态,包括当回顾性丰富但质量较差时,包括消费物种的确定性灭绝。 他们以五个不同的方向扩展了这种模型,以探索在其他非杂色的环境中经过考虑的考虑因素(即并发症)。 具体而言,他们分析了1)多营养模型的动力学; 2)多个消费者专门的资源的思考模型; 3)营养回收的时间延迟,这是陆地生态系统的角度成分; 4)两个贴片模型,具有栖息地异质性和thecmasumer的散布;和5)年龄结构化模型,其中少年和阿达德消费者的营养需求有所不同。 该项目旨在为生态化学计量法提供分析严格的基础。 包括人类在内的所有生物都均与相同的基本构建基块建造,例如碳(C),氮(N),磷(P)和较小量的二十多岁。 然而,不同的生物在其生物量中包含这些关键元素的不同比例,因此必须从其环境中提取这些元素到不同程度。 在许多情况下,环境并未以质量和比例为生物生长和繁殖最佳的比例提供这些关键的养分元素。 因此,生命的化学环境可能会在各种情况下有机体的成功限制。 在此项目中,研究人员使用数学模型来模拟天然食品网中多个化学元素的趋势,以更好地理解生物对多计算元素的需求如何在生活和努力生活世界之间建立关键的反馈。 这项工作很重要,原因有两个。 首先,它可以更好地了解化学元素如何通过食物网的移动。 Second, improved fundamentalknowledge of how nutrients move in the environment and how tosimulate those movements with mathematical tools may help predictand manage natural and human-dominated ecosystems, includingthose affected by nutrient inputs from human activities (e.g. Nand P inputs from fertilizer, sewage) or by global change (e.g.effects of increased atmospheric carbon dioxide on C and nutrientflow in the environment).
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Yang Kuang其他文献
A wastewater-based harmless delay differential equation model to understand the emergence of SARS-CoV-2 variants (preprint)
基于废水的无害延迟微分方程模型,用于了解 SARS-CoV-2 变种的出现(预印本)
- DOI:
- 发表时间:
2022 - 期刊:
- 影响因子:0
- 作者:
Bruce Pell;Samantha Brozak;Tin Phan;Fuqing Wu;Yang Kuang - 通讯作者:
Yang Kuang
Globa dynamics in a stoichiometric food chain model with two limiting nutrients
具有两种限制营养素的化学计量食物链模型中的 Globa 动力学
- DOI:
- 发表时间:
2017 - 期刊:
- 影响因子:4.3
- 作者:
Ming Chen;Meng Fan;Yang Kuang - 通讯作者:
Yang Kuang
Energy Autonomous Wireless Sensing System Enabled by Energy Generated during Human Walking
利用人类行走过程中产生的能量实现能量自主无线传感系统
- DOI:
- 发表时间:
2016 - 期刊:
- 影响因子:0
- 作者:
Yang Kuang;Tingwen Ruan;Z. Chew;M. Zhu - 通讯作者:
M. Zhu
Coexistence and extinction in a data-based ratio-dependent model of an insect community
基于数据的昆虫群落比率依赖模型中的共存和灭绝
- DOI:
10.3934/mbe.2020187 - 发表时间:
2020 - 期刊:
- 影响因子:2.6
- 作者:
Yang Kuang;Kaifa Wang - 通讯作者:
Kaifa Wang
Oscillatory dynamics of an intravenous glucose tolerance test model with delay interval
具有延迟间隔的静脉内葡萄糖耐量测试模型的振荡动力学
- DOI:
10.1063/1.5008384 - 发表时间:
2017 - 期刊:
- 影响因子:2.9
- 作者:
Xiangyun Shi;Yang Kuang;Athena Makroglou;Sriprakash Mokshagundam;Jiaxu Li - 通讯作者:
Jiaxu Li
Yang Kuang的其他文献
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{{ truncateString('Yang Kuang', 18)}}的其他基金
eMB: Mathematical Classification of Complexity in Population Dynamics
eMB:人口动态复杂性的数学分类
- 批准号:
2325146 - 财政年份:2023
- 资助金额:
$ 21.5万 - 项目类别:
Standard Grant
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- 批准号:
1930728 - 财政年份:2019
- 资助金额:
$ 21.5万 - 项目类别:
Standard Grant
Dynamics and Applications of Cell Quota Based Plant-Pathogen Interaction Models
基于细胞配额的植物-病原体相互作用模型的动力学和应用
- 批准号:
1615879 - 财政年份:2016
- 资助金额:
$ 21.5万 - 项目类别:
Standard Grant
RAPID: Data-Based Spatiotemporal Models of Ebola Epidemics and Control
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- 批准号:
1518529 - 财政年份:2015
- 资助金额:
$ 21.5万 - 项目类别:
Standard Grant
Robust Theoretical Frameworks for Ecological Dynamics Subject to Stoichiometric Constraints
受化学计量约束的生态动力学的稳健理论框架
- 批准号:
0920744 - 财政年份:2009
- 资助金额:
$ 21.5万 - 项目类别:
Standard Grant
UBM: Interdisciplinary Training for Undergraduates in Biological and Mathematical Sciences at ASU
UBM:亚利桑那州立大学生物和数学科学本科生跨学科培训
- 批准号:
0436341 - 财政年份:2004
- 资助金额:
$ 21.5万 - 项目类别:
Continuing Grant
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0342388 - 财政年份:2004
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Mathematical Sciences: Global Qualitative Analysis of Ecological Models with Delays and Diffusions
数学科学:具有延迟和扩散的生态模型的全局定性分析
- 批准号:
9306239 - 财政年份:1993
- 资助金额:
$ 21.5万 - 项目类别:
Standard Grant
Mathematical Sciences: Global Qualitative Analysis of Ecological Models with Time Delays and Diffusions
数学科学:具有时滞和扩散的生态模型的全局定性分析
- 批准号:
9102549 - 财政年份:1991
- 资助金额:
$ 21.5万 - 项目类别:
Standard Grant
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