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Strong Allee effect and basins of attraction in a discrete‐time zoonotic infectious disease model 离散时间人畜共患传染病模型中的强Allee效应和吸引盆地
IF 1.6 4区 环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES Pub Date : 2022-01-22 DOI: 10.1111/nrm.12310
A. Yakubu, Najat Ziyadi
Motivated by the Feline immunodeficiency virus, the virus that causes AIDS in cat populations, we use discrete‐time infectious disease models with demographic strong Allee effect to examine the impact of the fatal susceptible‐infected (SI) infections on two different types of growth functions: Holling type III or modified Beverton–Holt per‐capita growth function (compensatory density dependence), and Ricker per‐capita growth function with mating (overcompensatory density dependence). The occurrence of the strong Allee effect in the disease‐free equation renders the SI population model bistable, where the two coexisting locally asymptotically stable equilibrium points are either the origin (catastrophic extinction state) and the second fixed point (compensatory dynamics) or the origin and an intrinsically generated demographic period k > 1 population cycle (overcompensatory dynamics). We use the basic reproduction number, ℛ 0 , and the spectral radius, λ k , to examine the structures of the coexisting attractors. In particular, we use MATLAB simulations to show that the fatal disease is not only capable of enlarging or shrinking the basin of attraction of the catastrophic extinction state, but it is also capable of fracturing the basins of attraction into several disjoint sets. Thus, making it difficult to specify the asymptotic zoonotic SI disease outcome in terms of all initial infections. The complexity of the basins of attractions appears to increase with an increase in the period of the intrinsically generated demographic population cycles.
受猫免疫缺陷病毒(在猫群中引起艾滋病的病毒)的影响,我们使用具有人口统计学强Allee效应的离散时间传染病模型来检验致命易感感染(SI)感染对两种不同类型生长功能的影响:Holling III型或改良的Beverton-Holt人均生长函数(代偿密度依赖)和Ricker人均生长函数(过度代偿密度依赖)。无病方程中强Allee效应的出现使得SI种群模型双稳态,其中两个共存的局部渐近稳定平衡点要么是原点(灾难性灭绝状态)和第二个不动点(补偿动力学),要么是原点和内在产生的人口周期k >1种群周期(过度补偿动力学)。我们使用基本复制数,∑0和谱半径,λ k来检验共存吸引子的结构。特别地,我们使用MATLAB仿真表明,致命疾病不仅能够扩大或缩小灾难性灭绝状态的吸引盆地,而且还能够将吸引盆地破碎成几个不相交的集。因此,就所有初始感染而言,很难确定渐近人畜共患SI疾病的结果。吸引力盆地的复杂性似乎随着内在产生的人口周期的增加而增加。
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引用次数: 0
A soft systems methodology and interpretive structural modeling framework for Green infrastructure development to control runoff in Tehran metropolis 德黑兰大都市控制径流的绿色基础设施开发的软系统方法和解释性结构建模框架
IF 1.6 4区 环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES Pub Date : 2022-01-14 DOI: 10.1111/nrm.12339
Iman Saeedi, Alireza Mikaeili Tabrizi, A. Bahremand, A. Salmanmahiny
Green Infrastructure Development (GID) is a well‐known method for dealing with runoff control and mitigating the urbanization effects on hydrological cycles. Other than hydrological factors, GID is obviously intertwined with many socioeconomic, environmental, and aesthetic considerations, constraints, and drivers. Human perceptions are valuable resources to distinguish these considerations and can be derived from unstructured information using a systematic method. The purpose of this article is to exhibit how the perceptions of stakeholders were derived in Tehran for a conceptual model of green infrastructure development. For this, we applied a combination of Soft Systems Methodology (SSM) and Interpretive Structural Modeling (ISM). The results revealed the main stakeholders, their relationships and responsibility, main obstacles for GID, and the conceptual system of activities for GIs development in Tehran. Based on the results, actions for improving the current situation were proposed and categorized in 10 main components including: further research, regulation, financial support, negotiation with stakeholders, evaluation and monitoring, enhancing stakeholders' interactions, providing comprehensive database, acculturalization, managerial reform, and training of stakeholders. ISM was performed to obtain a visible, ordered, and well‐defined model of the relationships among the main components. The results revealed that the item “further research” plays the main role in actualizing three components “regulation,” “financial support,” and “negotiation with stakeholders” in the process of GID in Tehran while the realization of the rest of the components depends on the former three components.
绿色基础设施开发(GID)是处理径流控制和减轻城市化对水文循环影响的一种众所周知的方法。除了水文因素外,GID显然与许多社会经济、环境和美学因素、制约因素和驱动因素交织在一起。人类感知是区分这些考虑因素的宝贵资源,可以使用系统方法从非结构化信息中得出。本文的目的是展示德黑兰利益相关者对绿色基础设施发展概念模型的看法。为此,我们将软系统方法论(SSM)和解释结构建模(ISM)相结合。结果揭示了主要利益相关者、他们的关系和责任、全球信息发展的主要障碍以及德黑兰全球信息发展活动的概念体系。根据研究结果,提出了改善现状的行动,并将其分为10个主要组成部分,包括:进一步研究、监管、财政支持、与利益攸关方谈判、评估和监测、加强利益攸关方的互动、提供全面的数据库、文化融合、管理改革和培训利益攸关方。执行ISM是为了获得主要成分之间关系的可见、有序和明确的模型。结果表明,在德黑兰GID过程中,“进一步研究”项目在实施“监管”、“财政支持”和“与利益相关者谈判”三个组成部分中发挥着主要作用,而其余组成部分的实现则取决于前三个组成部分。
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引用次数: 4
Mathematical modeling on conservation of depleted forestry resources 枯竭林业资源保护的数学模型
IF 1.6 4区 环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES Pub Date : 2022-01-14 DOI: 10.1111/nrm.12338
Masitawal Demsie Goshu, M. Endalew
In this article, a nonlinear mathematical model is constructed to investigate the conservation of depleted forest resources due to the increase of population and associated pressures. Fundamental equations governing the dynamics of the system are defined by the set of highly nonlinear ordinary differential equations and solved numerically. The model is analyzed by using the nature of stability analysis theory of dynamical system. The numerical solutions and simulations of the system are carried out using ODE45 subroutine of MATLAB. Presentations of results are revealed using graphs and interpreted biologically. It is noted that the increase of population density and associated pressures causes the depletion of forestry resources. However, forest resources can be conserved by controlling man made fire, toxicant activities, applying economical incentives and technological efforts.
本文建立了一个非线性数学模型,探讨了人口增长和相关压力对枯竭森林资源保护的影响。控制系统动力学的基本方程由一组高度非线性常微分方程定义并进行数值求解。利用动力系统稳定性分析理论的性质对模型进行了分析。利用MATLAB的ODE45子程序对系统进行了数值求解和仿真。结果的展示用图表显示,并进行生物学解释。人们注意到,人口密度的增加和有关的压力造成了森林资源的枯竭。但是,森林资源可以通过控制人为火灾、有毒活动、采用经济奖励和技术努力来保护。
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引用次数: 4
Sustainable agriculture supply chain network design considering water‐energy‐food nexus using queuing system: A hybrid robust possibilistic programming 基于排队系统的考虑水-能-粮关系的可持续农业供应链网络设计:一个混合鲁棒可能性规划
IF 1.6 4区 环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES Pub Date : 2021-12-22 DOI: 10.1111/nrm.12337
Komeyl Baghizadeh, N. Cheikhrouhou, K. Govindan, Mahboubeh Ziyarati
Due to the nature of the agricultural and food industry, the management of production, storage, transportation, waste disposal and environmental effects of their production, are of great importance. To deal with the sustainability issues linked to their supply chains, we propose in this study a mathematical model to design a sustainable supply chain of highly perishable agricultural product (strawberry). The model is a multiperiod, multiproduct multiobjective MINLP mathematical program that takes into consideration economic, social and environmental objectives to cover all aspects of sustainability. In addition, a G/M/S/M queuing system is developed for the transportation of harvested products between facilities for the first time. Since real‐world problems related to industries such as food and agriculture are inherently uncertain, in this model, the important parameters of the problem are considered uncertain using fuzzy sets theory and a hybrid robust possibilistic programming model is developed. In addition, the Epsilon constraint approach converts the multiobjective mathematical model into a single‐objective one and the Lagrangian relaxation method is used to effectively solve the model on a large scale. A case study in Iran is provided to investigate the results and discuss the solutions. Finally, a sensitivity analysis is performed to identify the impacts of important parameters on the solution. According to the analysis, equipping greenhouses with drip irrigation system and using solar panels in greenhouses, respectively, have the greatest impact on improving all target functions.
由于农业和食品工业的性质,对其生产、储存、运输、废物处理和环境影响的管理至关重要。为了解决与其供应链相关的可持续性问题,我们在本研究中提出了一个数学模型来设计高度易腐农产品(草莓)的可持续供应链。该模型是一个多周期、多产品的多目标MINLP数学程序,考虑了经济、社会和环境目标,涵盖了可持续性的各个方面。此外,首次开发了G/M/S/M排队系统,用于在设施之间运输收获的产品。由于与食品和农业等行业相关的现实世界问题本质上是不确定的,在该模型中,使用模糊集理论将问题的重要参数视为不确定,并开发了一个混合鲁棒可能性规划模型。此外,Epsilon约束方法将多目标数学模型转换为单目标数学模型,并使用拉格朗日松弛方法在大范围内有效地求解该模型。提供了一个在伊朗的案例研究,以调查结果并讨论解决方案。最后,进行灵敏度分析,以确定重要参数对解决方案的影响。根据分析,为温室配备滴灌系统和在温室中使用太阳能电池板对提高所有目标功能的影响最大。
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引用次数: 14
Issue Information 问题信息
IF 1.6 4区 环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES Pub Date : 2021-11-01 DOI: 10.1111/nrm.12274
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引用次数: 0
Editorial 编辑
IF 1.6 4区 环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES Pub Date : 2021-10-21 DOI: 10.1111/nrm.12335
P. Gajardo, H. Ramírez
Since 1995, the Resource Modeling Association (RMA) has organized the World Conference on Natural Resource Modeling (WCNRM), an annual meeting that brings together scientists, stakeholders and students interested in the mathematical modeling of renewable and exhaustible resources. For the first time in South America, and just before the pandemic began, WCNRM was held in January 2020 in Valparaíso, Chile, organized by the Universidad Técnica Federico Santa María and the Universidad de Chile. Participants from 20 countries presented novelties on different topics related to natural resources and specifically on the conference theme: “Decision support methods for natural systems at risk.” This special issue collects a selection of papers and ideas presented during WCNRM 2020. Topics covered in this collection include: A modeling approach for evaluating the interplay between global warming and body size in fish stocks, providing important messages to mid‐ and long‐term if current temperature trends continue; A probabilistic model for detecting locations at risk from human‐ transported pathogens, methodology that can be applied to a wide class of problems, and it is illustrated with a very nice example on the sudden oak death; A crop choice model for estimating future returns from the irrigated land under different scenarios, concluding that financial and technical assistant to farmers for conserving groundwater would be sustainable and efficient from a cost–benefit viewpoint, conclusion obtained from a case study on the Mississippi River Alluvial Aquifer; A dynamical model for a terrestrial ecosystem whose analysis shows how biodiversity conservation can reduce infectious diseases; A generalization of a multivariate spatial variables methodology to provide a common effective sample size when all variables have been measured at the same locations, with concrete applications such as a soil contamination data set; A quantitative analysis of an epidemiological model of HIV/AIDS using Bayesian inference, for which the basic reproductive number was estimated based on the estimation of the model parameters; And the characterization of the set of robust sustainable thresholds for a discrete‐time controlled dynamic system, which provides useful information to users and decision‐makers as it illustrates the trade‐offs between the achievement of different objectives in fishery management. We would like to thank the authors who submitted their papers to this special issue and all the reviewers for their invaluable job during these unusual pandemic times. We are also indebted to the Editor‐in‐Chief, Shandelle Henson, for her support during the whole process.
自1995年以来,资源建模协会(RMA)组织了世界自然资源建模会议(WCNRM),这是一个一年一度的会议,汇集了对可再生资源和可耗尽资源的数学建模感兴趣的科学家,利益相关者和学生。2020年1月,在大流行开始之前,南美洲第一次在智利Valparaíso举行了由智利大学María和智利大学组织的WCNRM。来自20个国家的与会者介绍了与自然资源有关的不同主题的新奇事物,特别是会议主题:“处于危险中的自然系统的决策支持方法”。本期特刊收集了WCNRM 2020期间提出的一些论文和想法。本系列涵盖的主题包括:评估全球变暖和鱼类种群体型之间相互作用的建模方法,如果目前的温度趋势继续下去,将为中长期提供重要信息;一个概率模型,用于检测人类传播病原体的危险地点,这种方法可以应用于广泛的问题,并以橡树猝死的一个很好的例子来说明;建立了一种作物选择模型,用于估算不同情景下灌溉土地的未来收益,从成本效益的角度得出结论,认为向农民提供保护地下水的财政和技术援助将是可持续和有效的,结论来自密西西比河冲积含水层的案例研究;陆地生态系统动力学模型,其分析显示生物多样性保护如何能够减少传染病;推广多元空间变量方法,当所有变量在同一地点测量时,提供一个共同的有效样本量,具体应用如土壤污染数据集;利用贝叶斯推理方法对HIV/AIDS流行病学模型进行定量分析,根据模型参数估计基本生殖数。以及离散时间控制动态系统的鲁棒可持续阈值集的特征,它为用户和决策者提供了有用的信息,因为它说明了在渔业管理中实现不同目标之间的权衡。我们要感谢向本期特刊投稿的作者和所有审稿人,感谢他们在这一不寻常的大流行时期所做的宝贵工作。我们也感谢总编辑Shandelle Henson在整个过程中的支持。
{"title":"Editorial","authors":"P. Gajardo, H. Ramírez","doi":"10.1111/nrm.12335","DOIUrl":"https://doi.org/10.1111/nrm.12335","url":null,"abstract":"Since 1995, the Resource Modeling Association (RMA) has organized the World Conference on Natural Resource Modeling (WCNRM), an annual meeting that brings together scientists, stakeholders and students interested in the mathematical modeling of renewable and exhaustible resources. For the first time in South America, and just before the pandemic began, WCNRM was held in January 2020 in Valparaíso, Chile, organized by the Universidad Técnica Federico Santa María and the Universidad de Chile. Participants from 20 countries presented novelties on different topics related to natural resources and specifically on the conference theme: “Decision support methods for natural systems at risk.” This special issue collects a selection of papers and ideas presented during WCNRM 2020. Topics covered in this collection include: A modeling approach for evaluating the interplay between global warming and body size in fish stocks, providing important messages to mid‐ and long‐term if current temperature trends continue; A probabilistic model for detecting locations at risk from human‐ transported pathogens, methodology that can be applied to a wide class of problems, and it is illustrated with a very nice example on the sudden oak death; A crop choice model for estimating future returns from the irrigated land under different scenarios, concluding that financial and technical assistant to farmers for conserving groundwater would be sustainable and efficient from a cost–benefit viewpoint, conclusion obtained from a case study on the Mississippi River Alluvial Aquifer; A dynamical model for a terrestrial ecosystem whose analysis shows how biodiversity conservation can reduce infectious diseases; A generalization of a multivariate spatial variables methodology to provide a common effective sample size when all variables have been measured at the same locations, with concrete applications such as a soil contamination data set; A quantitative analysis of an epidemiological model of HIV/AIDS using Bayesian inference, for which the basic reproductive number was estimated based on the estimation of the model parameters; And the characterization of the set of robust sustainable thresholds for a discrete‐time controlled dynamic system, which provides useful information to users and decision‐makers as it illustrates the trade‐offs between the achievement of different objectives in fishery management. We would like to thank the authors who submitted their papers to this special issue and all the reviewers for their invaluable job during these unusual pandemic times. We are also indebted to the Editor‐in‐Chief, Shandelle Henson, for her support during the whole process.","PeriodicalId":49778,"journal":{"name":"Natural Resource Modeling","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2021-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46309551","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"环境科学与生态学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modeling and control of Mongolian forest utilization: Impact of illegal logging 蒙古森林利用建模与控制:非法采伐的影响
IF 1.6 4区 环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES Pub Date : 2021-10-20 DOI: 10.1111/nrm.12333
Battur Gompil, B. Tseveen, Janerke Almasbek
Depletion and deforestation of forest resources are mainly due to industrialization, population, pollution, forest fire, improper commercial logging, and illegal logging in the world. In this paper, we consider two dynamic models. A mathematical Model 1 is proposed considering the forest biomass density x ( t ) , the density of wood‐based industries y ( t ) with unknown parameter h . Model 2 is an extension of Model 1 with the density of illegal logging z ( t ) with unknown parameter n . It is assumed that the density of forest biomass grows logistically in the absence of wood‐based industries and illegal logging. In the proposed models, the controlling parameters h and n are crucial parameters for the local stable conditions of the equilibrium points and system control. We also show in this paper that it is possible to control illegal logging by increasing the level of logging by selecting system parameters efficiently and effectively.
森林资源的消耗和砍伐主要是由于世界上的工业化、人口、污染、森林火灾、不当商业伐木和非法伐木。在本文中,我们考虑了两个动力学模型。提出了一个数学模型1,考虑了森林生物量密度x(t),木材工业密度y(t)和未知参数h。模型2是模型1的扩展,具有未知参数n的非法伐木密度z(t)。据推测,在没有木材工业和非法伐木的情况下,森林生物量的密度在逻辑上增长。在所提出的模型中,控制参数h和n是平衡点局部稳定条件和系统控制的关键参数。本文还表明,通过高效、有效地选择系统参数,提高测井水平,控制非法测井是可能的。
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引用次数: 2
Fisheries management and tipping points: Seeking optimal management of Eastern Baltic cod under conditions of uncertainty about the future productivity regime 渔业管理和临界点:在未来生产力制度不确定的条件下寻求东波罗的海鳕鱼的最佳管理
IF 1.6 4区 环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES Pub Date : 2021-10-14 DOI: 10.1111/nrm.12336
Rudi Voss, M. Quaas
Historical patterns of the Eastern Baltic cod stock recruitment show a shift from a regime with high reproductive potential before the early 1980s to a regime with low reproductive potential since then. This shift can be attributed to increasingly unfavorable environmental conditions for cod reproduction at that time: critical salinity and oxygen levels, needed for successful egg and larval development, deteriorated. Yet, significant inflows of salt‐ and oxygen‐rich water from the North Sea or improved eutrophication management might trigger a shift back to a more productive regime. Coupling a statistical recruitment model to a state‐of‐the‐art, age‐structured bio‐economic model of the Eastern Baltic cod fishery, we study how optimal management depends on the uncertainty about the future productivity regime. We extend the predominantly theoretical literature on optimal management of a natural resource with a potential regime shift by analyzing an empirical model of age‐structured population dynamics and by allowing for the possibility of a back‐shift from a “bad” into a “good” regime. We find that with a higher probability of a shift back to the more productive regime the optimal management of the fishery becomes more conservative in the short run. We conclude that these benefits for the fishery warrant strong action reducing eutrophication to increase the probability of a regime shift back to high reproductive potential of the Eastern Baltic cod fishery.
东波罗的海鳕鱼种群招募的历史模式表明,从20世纪80年代初之前繁殖潜力高的制度转变为此后繁殖潜力低的制度。这种转变可归因于当时对鳕鱼繁殖越来越不利的环境条件:卵和幼虫成功发育所需的临界盐度和氧气水平恶化。然而,北海富盐和富氧水的大量流入或富营养化管理的改善可能会引发向更高产的模式的转变。将统计招募模型与波罗的海东部鳕鱼渔业的最先进、年龄结构的生物经济模型相结合,我们研究了最佳管理如何取决于未来生产力制度的不确定性。我们通过分析年龄结构人口动态的经验模型,并考虑到从“坏”制度向“好”制度倒退的可能性,扩展了关于潜在制度转变的自然资源优化管理的主要理论文献。我们发现,从短期来看,回归生产力更高的制度的可能性越高,渔业的最佳管理就越保守。我们得出的结论是,这些对渔业的好处需要采取强有力的行动来减少富营养化,以增加东波罗的海鳕鱼渔业恢复高繁殖潜力的可能性。
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引用次数: 4
Current forecast of HIV/AIDS using Bayesian inference 基于贝叶斯推理的HIV/AIDS现状预测
IF 1.6 4区 环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES Pub Date : 2021-09-28 DOI: 10.1111/nrm.12332
K. Prieto, Jhoana P. Romero–Leiton
In this study, we address the problem of fitting a mathematical model to the human immunodeficiency virus (HIV)/acquired immunodeficiency syndrome (AIDS) data. We present a quantitative analysis of the formulated mathematical model by using Bayesian inference. The mathematical model consists of a suitable simple system of ordinary differential equations. We perform a local and global sensitivity analysis of parameters to determine which parameters of the model are the most relevant for the transmission and prevalence of the disease. We formulate the inverse problem associated to the parameter estimation of the model, and solve it using Bayesian statistics. Then, we estimate the basic reproductive number of the disease based on the estimation of the parameters of the model and its comparison with one is tested through hypothesis tests. The data set consist of HIV and AIDS data from Luxembourg, Czech Republic, Japan, Croatia, United Kingdom, and Mexico.
在这项研究中,我们解决了将数学模型拟合到人类免疫缺陷病毒(HIV)/获得性免疫缺陷综合征(AIDS)数据的问题。我们使用贝叶斯推理对公式化的数学模型进行了定量分析。数学模型由一个合适的简单常微分方程组组成。我们对参数进行局部和全局敏感性分析,以确定模型的哪些参数与疾病的传播和流行最相关。我们公式化了与模型参数估计相关的逆问题,并使用贝叶斯统计来解决它。然后,我们根据模型参数的估计来估计该疾病的基本繁殖数,并通过假设检验检验其与模型的比较。该数据集由卢森堡、捷克共和国、日本、克罗地亚、联合王国和墨西哥的艾滋病毒和艾滋病数据组成。
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引用次数: 2
Fish catch management strategies: Evaluating the interplay between body size and global warming 鱼类捕捞管理策略:评估体型与全球变暖之间的相互作用
IF 1.6 4区 环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES Pub Date : 2021-09-21 DOI: 10.1111/nrm.12331
W. Campillay-Llanos, V. Saldaña‐Núñez, Fernado Córdova‐Lepe, F. N. Moreno‐Gómez
Environmental temperature and body size influence the life cycle of the species, with consequences for population size. In addition, it has been reported that increased temperature can lead to a decrease in body size. In the context of a resource‐stock, whose abundance is diminished by the action of an endothermic predator and also by small‐scale fishing activity, we analysed a Schaefer‐type fishery model that incorporates parametric variables associated with thermal performance, metabolic theory, and warming. We project the biomass of the resource in a thermal tolerance range with an increasing temperature trend obtained from current data. In the short term there could be an increase in biomass. However, over time the stock will decline rapidly, in association with the intensity of temperature increase and fishing effort.
环境温度和体型会影响物种的生命周期,并对种群规模产生影响。此外,据报道,温度升高会导致体型缩小。在资源种群的情况下,其丰度因吸热捕食者的作用和小规模捕鱼活动而减少,我们分析了一个Schaefer型渔业模型,该模型包含了与热性能、代谢理论和变暖相关的参数变量。根据当前数据,我们预测了该资源的生物量在耐热范围内,温度呈上升趋势。在短期内,生物量可能会增加。然而,随着时间的推移,随着气温的升高和捕鱼力度的加大,种群数量将迅速下降。
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引用次数: 2
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Natural Resource Modeling
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