Equilibrium solutions of age-specific population dynamics of several species

1981 ◽  
Vol 11 (1) ◽  
pp. 65-84 ◽  
Author(s):  
Jan Pr��
Keyword(s):  
Population Dynamics ◽  
Equilibrium Solutions ◽  
Specific Population

scholarly journals Sex‐specific population dynamics of ocelots in Belize using open population spatial capture–recapture

Ecosphere ◽  
2019 ◽  
Vol 10 (7) ◽  
Author(s):  
Christopher B. Satter ◽  
Ben C. Augustine ◽  
Bart J. Harmsen ◽  
Rebecca J. Foster ◽  
Marcella J. Kelly
Keyword(s):  
Population Dynamics ◽  
Specific Population ◽  
Open Population ◽  
Capture Recapture

scholarly journals A general model of population dynamics accounting for multiple kinds of interaction

2020 ◽  
Author(s):  
Luciano Stucchi ◽  
Juan Manuel Pastor ◽  
Javier García-Algarra ◽  
Javier Galeano
Keyword(s):  
Population Dynamics ◽  
Interspecific Interactions ◽  
Order Term ◽  
Complex Model ◽  
Equilibrium Solutions ◽  
Intraspecific Interactions ◽  
Intraspecific Interaction ◽  
Population Dynamics Models ◽  
Dynamics Models ◽  
Simple Picture

ABSTRACTPopulation dynamics has been modelled using differential equations almost since Malthus times, more than two centuries ago. Basic ingredients of population dynamics models are typically a growth rate, a saturation term in the form of Verhulst’s logistic brake, and a functional response accounting for interspecific interactions. However intraspecific interactions are not usually included in the equations. The simplest models use linear terms to represent a simple picture of the nature, meanwhile to represent more complex landscapes, it is necessary to include more terms with higher order or analytically more complex. The problem to use a simpler or more complex model depends on many factors: mathematical, ecological, or computational. To address it, here we discuss a new model based on a previous logistic-mutualistic model. We have generalised the interspecific terms (for antagonistic and competitive relationships) and we have also included new polynomial terms to explain any intraspecific interaction. We show that by adding simple intraspecific terms, new free-equilibrium solutions appear driving a much richer dynamics. These new solutions could represent more realistic ecological landscapes by including a new high order term.

scholarly journals Estimating taxon‐specific population dynamics in diverse microbial communities

Ecosphere ◽  
2018 ◽  
Vol 9 (1) ◽  
Author(s):  
Benjamin J. Koch ◽  
Theresa A. McHugh ◽  
Michaela Hayer ◽  
Egbert Schwartz ◽  
Steven J. Blazewicz ◽  
...  
Keyword(s):  
Population Dynamics ◽  
Microbial Communities ◽  
Specific Population

scholarly journals Sex-specific population dynamics and demography of capercaillie (Tetrao urogallus L.) in a patchy environment

2019 ◽  
Author(s):  
Ben C. Augustine ◽  
Marc Kéry ◽  
Juanita Olano Marin ◽  
Pierre Mollet ◽  
Gilberto Pasinelli ◽  
...  
Keyword(s):  
Population Dynamics ◽  
Population Trends ◽  
Tetrao Urogallus ◽  
Male Population ◽  
Specific Population ◽  
Female Population ◽  
Open Population ◽  
Species Of Conservation Concern ◽  
Conservation Concern ◽  
Scr Model

AbstractModeling the population dynamics of patchily distributed species is a challenge, particularly when inference must be based on incomplete and small data sets such as those from most species of conservation concern. Open population spatial capture-recapture (SCR) models are ideally suited to quantify population trends, but have seen only limited use since their introduction.To investigate population trend and sex-specific population dynamics, we applied an open SCR model to a capercaillie (Tetrao urogallus) population in Switzerland living in eight distinct forest patches totalling 22 km2 within a region of 908 km2. The population was surveyed using genetic sampling of scat in 2009, 2012 and 2015. We fit an open SCR model with sex-specific detection and population dynamics parameters while accounting for the patchy distribution of habitat and the uncertainty introduced by observing the population in three years only.Between 2009 and 2015, a total of 143 males, 112 females and 4 individuals of uncertain sex were detected. The annual per capita recruitment rate was estimated at 0.115 (SE 0.0144) for males and 0.127 (0.0168) for females. The estimated annual survival probability for males was 0.758 (0.0241) and 0.707 (0.0356) for females. The population trajectory implied by these survival and recruitment estimates was a decline of 2% per year; however, the sex specificity of the model revealed a decline in the male population only, with no evidence of decline in the female population. Further, the population decline observed in males was explained by the demography of just two of the eight patches.Using a customized open population SCR model, we determined that the endangered capercaillie in our Swiss study area had a stable female population and a declining male population, with the male decline due to population dynamics in a subset of the study area. Our study highlights the flexibility of open population SCR models for assessing population trajectories through time and across space and emphasizes the desirability of estimating sex-stratified population trends especially in species of conservation concern.

Species-specific population dynamics and their link to an aquatic food web: A hybrid modeling approach

2019 ◽  
Vol 405 ◽  
pp. 1-14 ◽  
Author(s):  
Amelie Schmolke ◽  
Steven M. Bartell ◽  
Colleen Roy ◽  
Nicholas Green ◽  
Nika Galic ◽  
...  
Keyword(s):  
Population Dynamics ◽  
Food Web ◽  
Hybrid Modeling ◽  
Aquatic Food Web ◽  
Specific Population ◽  
Modeling Approach ◽  
Aquatic Food ◽  
Species Specific

scholarly journals Sex‐specific population dynamics and demography of capercaillie ( Tetrao urogallus L.) in a patchy environment

2019 ◽  
Vol 62 (1) ◽  
pp. 80-90 ◽  
Author(s):  
Ben C. Augustine ◽  
Marc Kéry ◽  
Juanita Olano Marin ◽  
Pierre Mollet ◽  
Gilberto Pasinelli ◽  
...  
Keyword(s):  
Population Dynamics ◽  
Tetrao Urogallus ◽  
Patchy Environment ◽  
Specific Population

scholarly journals A General Model of Population Dynamics Accounting for Multiple Kinds of Interaction

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Luciano Stucchi ◽  
Juan Manuel Pastor ◽  
Javier García-Algarra ◽  
Javier Galeano
Keyword(s):  
Population Dynamics ◽  
Interspecific Interactions ◽  
Order Term ◽  
Higher Order ◽  
Complex Model ◽  
Equilibrium Solutions ◽  
Intraspecific Interactions ◽  
Intraspecific Interaction ◽  
Population Dynamics Models ◽  
Dynamics Models

Population dynamics has been modelled using differential equations almost since Malthus times, more than two centuries ago. Basic ingredients of population dynamics models are typically a growth rate, a saturation term in the form of Verhulst’s logistic brake, and a functional response accounting for interspecific interactions. However, intraspecific interactions are not usually included in the equations. The simplest models use linear terms to represent a simple picture of the nature; meanwhile, to represent more complex landscapes, it is necessary to include more terms with a higher order or that are analytically more complex. The problem to use a simpler or more complex model depends on many factors: mathematical, ecological, or computational. To address it, here we discuss a new model based on a previous logistic-mutualistic model. We have generalized the interspecific terms (for antagonistic and competitive relationships), and we have also included new polynomial terms to explain any intraspecific interaction. We show that, by adding simple intraspecific terms, new free-equilibrium solutions appear driving a much richer dynamics. These new solutions could represent more realistic ecological landscapes by including a new higher order term.

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