Applying Models Incorporating Age‐Size Structure of a Population to Daphnia

Sinko, James W.; Streifer, W.

doi:10.2307/1936249

Cited by 49 publications

(20 citation statements)

References 14 publications

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“…Sinko & Streifer 1969;Paloheimo et al 1982). Size was represented in the model by dry weight or carbon mass, which is related to a measure of length by an allometric relationship.…”

Section: Simplified Models Of Daphnia Physiology (A) Models For Growtmentioning

confidence: 99%

Dynamic energy budget theory and population ecology: lessons from Daphnia

Nisbet

McCauley

Johnson

2010

Phil. Trans. R. Soc. B

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Dynamic energy budget (DEB) theory offers a perspective on population ecology whose starting point is energy utilization by, and homeostasis within, individual organisms. It is natural to ask what it adds to the existing large body of individual-based ecological theory. We approach this question pragmatically-through detailed study of the individual physiology and population dynamics of the zooplankter Daphnia and its algal food. Standard DEB theory uses several state variables to characterize the state of an individual organism, thereby making the transition to population dynamics technically challenging, while ecologists demand maximally simple models that can be used in multi-scale modelling. We demonstrate that simpler representations of individual bioenergetics with a single state variable (size), and two life stages (juveniles and adults), contain sufficient detail on mass and energy budgets to yield good fits to data on growth, maturation and reproduction of individual Daphnia in response to food availability. The same simple representations of bioenergetics describe some features of Daphnia mortality, including enhanced mortality at low food that is not explicitly incorporated in the standard DEB model. Size-structured, population models incorporating this additional mortality component resolve some long-standing questions on stability and population cycles in Daphnia. We conclude that a bioenergetic model serving solely as a 'regression' connecting organismal performance to the history of its environment can rest on simpler representations than those of standard DEB. But there are associated costs with such pragmatism, notably loss of connection to theory describing interspecific variation in physiological rates. The latter is an important issue, as the type of detailed study reported here can only be performed for a handful of species.

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“…Sinko & Streifer 1969;Paloheimo et al 1982). Size was represented in the model by dry weight or carbon mass, which is related to a measure of length by an allometric relationship.…”

Section: Simplified Models Of Daphnia Physiology (A) Models For Growtmentioning

confidence: 99%

Dynamic energy budget theory and population ecology: lessons from Daphnia

Nisbet

McCauley

Johnson

2010

Phil. Trans. R. Soc. B

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“…These models describe the temporal evolution of the distribution of the population over a state variable. The latter can include the cell mass (Sinko and Streifer, 1971;Subramanian and Ramkrishna, 1971), the age and/or volume of the cell (Bell and Anderson, 1967;Sinko and Streifer, 1967;Bell, 1968;Anderson et al, 1969;Sinko and Streifer, 1969), and also the molar contents of intracellular components (Ataai and Shuler, 1985;Mantzaris et al, 2001a;Mantzaris et al, 2001b;Mantzaris et al, 2001c;Henson et al, 2002). More recently Fredrickson and Mantzaris (2002) and Fredrickson (2003) expanded the CPB formulation to account for the transitions between the different phases of the cell cycle.…”

Section: Introductionmentioning

confidence: 99%

Cell population balance and hybrid modeling of population dynamics for a single gene with feedback

Stamatakis¹

2013

Computers & Chemical Engineering

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Latest research on biological systems is steadily shifting from isolated single cells to entire cell populations. The latter are inherently heterogeneous, and their modeling requires approaches that explicitly account for this property. A comprehensive such approach is the cell population balance (CPB), which, however, is computationally expensive and becomes intractable for multivariable models.In this work, we demonstrate the use of model-reduction to efficiently simulate cell population heterogeneity in a genetic network of a single gene with feedback. Starting from a 4-species model we use singular perturbation analysis to derive a single equation for the intracellular protein concentration. We subsequently incorporate this equation to a hybrid model consisting of a CPB for the cell volume, and a continuum equation for the protein concentration. We finally compare the results obtained with the hybrid model with those of the full CPB, demonstrating the accuracy and computational efficiency of the hybrid methodology.

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“…Therefore, early FLM researches were focusing on the theoretical discussion related to population, community, or land- Xi et al (2009) Highlighting the relationship between forest dynamic mechanism and disturbance influence, and the relationship between ecology process and models Insufficient consideration on scale extension scape-based ecological succession, disturbance, equilibrium and non-equilibrium. On this basis, some mathematics equations were proposed to simulate biotic population dynamics, such as McKendrick-Von Foerster equation (McKendrick, 1925;Von Foerster, 1959), Multivariate versions equation (Sinko et al, 1967;Sinko et al, 1969;Streifer, 1974;Oster et al, 1974), etc. There is one model needs to be specially mentioned --Stationary Markov model (Feller, 1968), which is a discrete and random mathematics model.…”

Section: Before the 1970s: Mathematics Model Theoretical Foundationmentioning

confidence: 99%

Progress and prospect of research on forest landscape model

Dai

Wang

et al. 2014

J. Geogr. Sci.

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Abstract:The Forest Landscape Model (FLM) is an efficiency tool of quantified expression of forest ecosystem's structure and function. This paper, on the basis of identifying FLM, according to the stage of development, summarizes the development characteristics of the model, which includes the theoretical foundation of mathematical model, FLM of stand-scale, primary development of spatial landscape model, rapid development of ecosystem process model as the priority, and developing period of structure and process driven by multi-factor. According to the characteristics of different FLMs, this paper classifies the existing FLM in terms of mechanism, property and application, and elaborates the identifications, advantages and disadvantages of different types of models. It summarizes and evaluates the main application fields of existing models from two aspects which are the changes of spatial pattern and ecological process. Eventually, this paper presents FLM's challenges and directions of development in the future, including: (1) more prominent service on the practical strategy of forest management's objectives; (2) construction of multi-modules and multi-plugin to satisfy landscape research demand in various conditions; (3) adoption of high resolution's spatial-temporal data; (4) structural construction of multi-version module; (5) improving the spatial suitability of model application.

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Applying Models Incorporating Age‐Size Structure of a Population to Daphnia

Cited by 49 publications

References 14 publications

Dynamic energy budget theory and population ecology: lessons from Daphnia

Dynamic energy budget theory and population ecology: lessons from Daphnia

Cell population balance and hybrid modeling of population dynamics for a single gene with feedback

Progress and prospect of research on forest landscape model

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