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One hundred years of population ecology:Successes,failures and the road ahead

Integrative Zoology 2015年第3期10卷 233-240页

作者： Charles J.KREBS Department of Zoology University of British ColumbiaVancouverCanada and Institute for Applied EcologyUniversity of CanberraCanberraAustralia

population ecology is the most mature of the three subdisciplines of ecology partly because it has a solid mathematical foundation and partly because it can address the primary questions of distribution and abundance with experimental *** there is much left to do to integrate our population knowledge into community and ecosystem ecology to help address the global issues of food security and the conservation of *** different approaches are now being developed to bring about this integration and much more research will be necessary to decide which if any will be most useful in achieving our goals of explaining the changes we see in the distribution and abundance of animals and *** web ecology would appear to be the best approach at present because it uses the detailed information of the population ecology of particular species in combination with data on consumer-resource interactions to apply to the applied problems of biodiversity conservation,food security,pest management and disease *** we can use our understanding of population ecology to address the practical problems of our time in a creative way,we will benefit both the human population and the Earth’s *** remains to be done.

关键词： abundance geographic distributions history of ecology population models

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A Two-Step Growth Curve: Approach to the von Bertalanffy and Gompertz Equations

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Advances in Pure Mathematics 2016年第5期6卷 321-330页

作者： Laura Rogers-Bennett Donald W. Rogers California Department of Fish and Wildlife and Karen C. Drayer Wildlife Health Center UC Davis CA USA Bodega Marine Laboratory Bodega Bay CA USA Chemistry Department Long Island University Brooklyn NY USA Friday Harbor Laboratories Whiteley Center University of Washington Friday Harbor WA USA

Many curves have been proposed and debated to model individual growth of marine invertebrates. Broadly, they fall into two classes, first order (e.g. von Bertalanffy) and sigmoidal (e.g. Gompertz). We provide an innovative approach which demonstrates that the growth curves are not mutually exclusive but that either may arise from a simple three-stage growth model with two steps (k1 and k2) depending on the ratio of the growth parameters . The new approach predicts sigmoidal growth when is close to 1, but if either growth from stage A to stage B or B to C is fast relative to the other, the slower of the two steps becomes the growth limiting step and the model reduces to first order growth. The resulting curves indicate that there is a substantial difference in the estimated size at time t during the period of active growth. This novel two-step rate model generates a growth surface that allows for changes in the rate parameters over time as reflected in the new parameter n(t) = k1(t) - k2(t). The added degree of freedom brings about individual growth trajectories across the growth surface that is not easily mapped using conventional growth modeling techniques. This two (or more) stage growth model yields a growth surface that allows for a wide range of growth trajectories, accommodating staged growth, growth lags, as well as indeterminate growth and can help resolve debates as to which growth curves should be used to model animal growth. This flexibility can improve estimates of growth parameters used in population models influencing model outcomes and ultimately management decisions.=

关键词： Growth Model Growth Surface Rate Equation Staged Growth population models

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