Inequality in resource allocation and population dynamics models
| Autor: | Masahiro Anazawa |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
0106 biological sciences
Inequality media_common.quotation_subject Population Resource distribution 010603 evolutionary biology 01 natural sciences Intraspecific competition Competition (economics) 03 medical and health sciences Econometrics population dynamics individual education contest competition lcsh:Science Quantitative Biology - Populations and Evolution 030304 developmental biology Mathematics media_common 0303 health sciences education.field_of_study Multidisciplinary Populations and Evolution (q-bio.PE) Biology (Whole Organism) FOS: Biological sciences Exponent Resource allocation scramble competition lcsh:Q first-principles derivation Scramble competition hassell model Research Article |
| Zdroj: | Royal Society Open Science, Vol 6, Iss 7 (2019) Royal Society Open Science |
| Popis: | The Hassell model has been widely used as a general discrete-time population dynamics model that describes both contest and scramble intraspecific competition through a tunable exponent. Since the two types of competition generally lead to different degrees of inequality in the resource distribution among individuals, the exponent is expected to be related to this inequality. However, among various first-principles derivations of this model, none is consistent with this expectation. This paper explores whether a Hassell model with an exponent related to inequality in resource allocation can be derived from first principles. Indeed, such a Hassell model can be derived by assuming random competition for resources among the individuals wherein each individual can obtain only a fixed amount of resources at a time. Changing the size of the resource unit alters the degree of inequality, and the exponent changes accordingly. The Beverton-Holt and Ricker models can be regarded as special cases of the derived Hassell model. Two additional Hassell models are derived under some modified assumptions. 13 pages, 5 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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