Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth
Modelling population dynamics in ecological systems reveals properties that are difficult to find by empirical means, such as the probability that a population will go extinct when it is exposed to harvesting. To study these properties, we use an aquatic ecological system containing one fish species...
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| Published in: | Journal of applied mathematics Vol. 2022; pp. 1 - 25 |
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| Format: | Journal Article |
| Language: | English |
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Hindawi
2022
John Wiley & Sons, Inc Hindawi Limited |
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| Abstract | Modelling population dynamics in ecological systems reveals properties that are difficult to find by empirical means, such as the probability that a population will go extinct when it is exposed to harvesting. To study these properties, we use an aquatic ecological system containing one fish species and an underlying resource as our models. In particular, we study a class of stage-structured population systems with and without starvation. In these models, we study the resilience, the recovery potential, and the probability of extinction and show how these properties are affected by different harvesting rates, both in a deterministic and stochastic setting. In the stochastic setting, we develop methods for deriving estimates of these properties. We estimate the expected outcome of emergent population properties in our models, as well as measures of dispersion. In particular, two different approaches for estimating the probability of extinction are developed. We also construct a method to determine the recovery potential of a species that is introduced in a virgin environment. |
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| AbstractList | Modelling population dynamics in ecological systems reveals properties that are difficult to find by empirical means, such as the probability that a population will go extinct when it is exposed to harvesting. To study these properties, we use an aquatic ecological system containing one fish species and an underlying resource as our models. In particular, we study a class of stage-structured population systems with and without starvation. In these models, we study the resilience, the recovery potential, and the probability of extinction and show how these properties are affected by different harvesting rates, both in a deterministic and stochastic setting. In the stochastic setting, we develop methods for deriving estimates of these properties. We estimate the expected outcome of emergent population properties in our models, as well as measures of dispersion. In particular, two different approaches for estimating the probability of extinction are developed. We also construct a method to determine the recovery potential of a species that is introduced in a virgin environment. |
| Audience | Academic |
| Author | Carlsson, Linus Aye, Tin Nwe |
| Author_xml | – sequence: 1 givenname: Tin Nwe orcidid: 0000-0002-2450-0160 surname: Aye fullname: Aye, Tin Nwe organization: Division of Applied MathematicsMälardalen UniversityBox 883721 23VästeråsSwedenmdh.se – sequence: 2 givenname: Linus orcidid: 0000-0002-5328-9560 surname: Carlsson fullname: Carlsson, Linus organization: Division of Applied MathematicsMälardalen UniversityBox 883721 23VästeråsSwedenmdh.se |
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| Cites_doi | 10.1111/ele.12073 10.1016/B978-012088458-2/50011-4 10.1016/j.jtbi.2006.09.009 10.1016/j.ecocom.2020.100812 10.1016/j.biocon.2009.10.013 10.1007/s11538-012-9789-y 10.1101/588665 10.1073/pnas.192174199 10.1139/f05-051 10.1006/bulm.2002.0307 10.1016/j.jtbi.2011.12.012 10.1038/nature13855 10.1890/03-9000 10.1006/tpbi.1998.1380 10.1016/j.tpb.2021.05.002 10.1016/S0040-5809(02)00009-6 10.1080/03115510408619286 10.1007/s12080-016-0309-9 10.1101/2021.02.01.429174 10.1007/BF00160229 10.1086/520119 10.1111/j.1461-0248.2009.01282.x 10.2307/1308256 10.1086/283039 10.1016/j.tree.2010.07.009 10.1016/j.tree.2011.03.001 10.5962/bhl.title.131888 10.1155/2022/4112015 10.1038/s41598-018-37186-2 10.1080/10236190601079217 10.1890/13-1065.1 10.1016/j.tree.2014.08.006 10.1016/S0304-3800(02)00388-5 10.1007/s00285-010-0383-3 10.1139/f54-039 10.1006/tpbi.1998.1408 10.1034/j.1600-0706.2000.910101.x 10.1137/0152048 10.1086/701631 10.1016/j.tpb.2007.09.004 10.1007/BF01344266 10.4236/ojs.2014.41002 10.1146/annurev.es.23.110192.002405 |
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| Copyright | Copyright © 2022 Tin Nwe Aye and Linus Carlsson. COPYRIGHT 2022 John Wiley & Sons, Inc. Copyright © 2022 Tin Nwe Aye and Linus Carlsson. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| References | 22 23 24 A. Singh (33) 2021 46 25 47 26 27 28 29 T. N. Aye (48) 30 F. Miriam (44) 2011 10 32 11 12 34 13 35 14 15 37 16 38 B. Rieman (42) 1993 P. Rupšys (45) 17 39 18 19 C. O. Flores (3) 2019 T. N. Aye (31) 2019 1 2 4 J. S. Giet (36) 2015; 20 5 6 7 8 9 40 41 20 21 43 |
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| SubjectTerms | Adults Analysis Biomass Deterministics Ecological systems Ecology Endangered & extinct species Exposed to Extinction Fish species Food Metabolism Mortality Partial differential equations Population Population biology Population dynamics Population statistics Probability theory Property Recovery Stage structured Stochastic models Stochastic settings Stochastic systems Stochastics Structured population Structured population models |
| Title | Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth |
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