Optimal Harvesting in Stream Networks: Maximizing Biomass and Yield.

Tung D Nguyen, Zhisheng Shuai, Tingting Tang, Amy Veprauskas, Yixiang Wu, Ying Zhou

Abstract read

In one paragraph

Article in Bulletin of mathematical biology, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0citing papers in PubMed

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1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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0 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

6 authors.

Tung D NguyenDepartment of Mathematics, University of California Los Angeles, Los Angeles, CA, 90024, USA.

Zhisheng ShuaiDepartment of Mathematics, University of Central Florida, Orlando, FL, 32816, USA.

Tingting TangDepartment of Mathematics and Statistics, San Diego State University, San Diego, CA, 92182, USA.

Amy VeprauskasDepartment of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70501, USA.

Yixiang WuDepartment of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, TN, 37132, USA.

Ying ZhouDepartment of Mathematical Sciences, Lafayette College, Easton, PA, 18042, USA. zhouyi@lafayette.edu.ORCID http://orcid.org/0000-0001-8487-6162

Funding

National Science Foundation DMS 2527228National Science Foundation DMS 253276

6 · The paper itself

Abstract

In this study, we develop a metapopulation model framework to identify optimal harvesting strategies for a population in a stream network. We consider two distinct optimization objectives: maximization of total biomass and maximization of total yield, under the constraint of a fixed total harvesting effort. We examine in detail the special case of a two-patch network and fully characterize the optimal strategies for each objective. We show that when the population growth rate exceeds a critical threshold, a single harvesting strategy can simultaneously maximize both objectives. For general n-patch networks with homogeneous growth rates across patches, we focus on the regime of large growth rates and demonstrate that the optimal harvesting strategy selects patches according to their intraspecific competition rates and an effective net flow metric determined by network connectivity parameters.

Indexed as

BiomassModels, BiologicalRiversAnimalsComputer SimulationConservation of Natural ResourcesEcosystemMathematical ConceptsPopulation DynamicsAsymmetric movementHarvestingMetapopulation modelNetwork connectivityStream networkSustainable yieldTotal biomass

Identifiers

PMID42154324

DOI10.1007/s11538-026-01658-8

PMCPMC13186893

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.