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The Harvesting Optimal Problem of richards model

Chinese Quarterly Journal of Mathematics 2013年第3期28卷 366-375页

作者： ZENG Zhi-jun School of Mathematics and Statistics. Northenst Normal University Changchun 130024 China

In this paper, the exploitation of single population modelled by richards model is studied. By choosing the maximum annual-sustainable yield as management objective, we investigate the optimal harvesting policies for autonomous and periodic exploited richards model. Further, when the functions in the exploited richards model are stably bounded functions, we study the ultimately optimal harvesting policy and obtain the corresponding average limiting maximum sustainable yield.

关键词： richards model stably bounded function ultimately optimal harvesting policy

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Adaptive Simplified Chicken Swarm Optimization Based on Inverted S-Shaped Inertia Weight

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Chinese Journal of Electronics 2022年第2期31卷 367-386页

作者： GU Yanchun LU Haiyan XIANG Lei SHEN Wanqiang School of Science Jiangnan University Wuxi Engineering Technology Research Center for Biological Computing Jiangnan University

Considering the issues of premature convergence and low solution accuracy in solving high-dimensional problems with the basic chicken swarm optimization algorithm, an adaptive simplified chicken swarm optimization algorithm based on inverted S-shaped inertia weight(ASCSO-S) is proposed. Firstly, a simplified chicken swarm optimization algorithm is presented by removing all the chicks from the chicken swarm. Secondly, an inverted S-shaped inertia weight is designed and introduced into the updating process of the roosters and hens to dynamically adjust their moving step size and thus to improve the convergence speed and solution accuracy of the algorithm. Thirdly, in order to enhance the exploration ability of the algorithm, an adaptive updating strategy is added to the updating process of the hens.Simulation experiments on 21 classical test functions show that ASCSO-S is superior to the other comparison algorithms in terms of convergence speed, solution accuracy, and solution stability. In addition, ASCSO-S is applied to the parameter estimation of richards model, and the test results indicate that ASCSO-S has the best fitting results compared with other three algorithms.

关键词： Chicken swarm optimization algorithm Inverted S-shaped inertia weight Random learning Function optimization richards model

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modeling the growth of individuals in crowded plant populations

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Journal of Plant Ecology 2008年第2期1卷 111-116页

作者： Christian Damgaard Jacob Weiner Department of Terrestrial Ecology National Environmental Research InstituteUniversity of AarhusDK-8600 SilkeborgDenmark Department of Ecology Faculty of Life SciencesUniversity of CopenhagenFrederiksbergDenmark and National Center for Ecological Analysis and SynthesisSanta BarbaraCA 93101-5504USA

Aims We present an improved model for the growth of individuals in plant populations experiencing competition.Methods Individuals grow sigmoidally according to the Birch model,which is similar to the more commonly used richards model,but has the advantage that initial plant growth is always exponential.The individual plant growth models are coupled so that there is a maximum total biomass for the population.The effects of size-asymmetric competition are modeled with a parameter that reflects the size advantage that larger individual have over smaller individuals.We fit the model to data on individual growth in crowded populations of Chenopodium album.Important Findings When individual plant growth curves were not coupled,there was a negative or no correlation between initial growth rate and final size,suggesting that competitive interactions were more important in determining final plant size than were plants’initial growth rates.The coupled growth equations fit the data better than individual,uncoupled growth models,even though the number of estimated parameters in the coupled competitive growth model was far fewer,indicating the importance of modeling competition and the degree of size-asymmetric growth explicitly.A quantitative understanding of stand development in terms of the growth of individuals,as altered by competition,is within reach.

关键词： Birch model growth curves plant competition richards model size-asymmetric competition

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