Population dynamics modelling in an hierarchical arborescent river network: An attempt with salmo trutta
Acta Biotheoretica 46 (3) (1998)
| Abstract | The balance between births and deaths in an age-structured population is strongly influenced by the spatial distribution of sub-populations. Our aim was to describe the demographic process of a fish population in an hierarchical dendritic river network, by taking into account the possible movements of individuals. We tried also to quantify the effect of river network changes (damming or channelling) on the global fish population dynamics. The Salmo trutta life pattern was taken as an example for.We proposed a model which includes the demographic and the migration processes, considering migration fast compared to demography. The population was divided into three age-classes and subdivided into fifteen spatial patches, thus having 45 state variables. Both processes were described by means of constant transfer coefficients, so we were dealing with a linear system of difference equations. The discrete case of the variable aggregation method allowed the study of the system through the dominant elements of a much simpler linear system with only three global variables: the total number of individuals in each age-class. | |||||||||
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Eva Sanchez, Pierre Auger & Rafael Bravo de la Parra (1997). Influence of Individual Aggressiveness on the Dynamics of Competitive Populations. Acta Biotheoretica 45 (3-4).
Eva Sánchez, Rafael Bravo Parra & Pierre Auger (1995). Linear Discrete Models with Different Time Scales. Acta Biotheoretica 43 (4).
Jorge Paulo Cancela & Kimon Hadjibiros (1977). Le Modele Matriciel Deterministe de Leslie Et Ses Applications En Dynamique Des Populations. Acta Biotheoretica 26 (4).
Pierre Auger & Jean-Christophe Poggiale (1996). Aggregation and Emergence in Hierarchically Organized Systems: Population Dynamics. Acta Biotheoretica 44 (3-4).
A. Steiner & I. Walker (1990). The Pattern of Population Growth as a Function of Redundancy and Repair. Acta Biotheoretica 38 (2).
Ángel Blasco, Luis Sanz, Pierre Auger & Rafael Bravo de la Parra (2001). Linear Discrete Population Models with Two Time Scales in Fast Changing Environments I: Autonomous Case. Acta Biotheoretica 49 (4).
Ángel Blasco, Luis Sanz, Pierre Auger & Rafael Bravo de la Parra (2002). Linear Discrete Population Models with Two Time Scales in Fast Changing Environments II: Non-Autonomous Case. Acta Biotheoretica 50 (1).
Luis Sanz & Rafael Bravo de la Parra (2002). The Reliability of Approximate Reduction Techniques in Population Models with Two Time Scales. Acta Biotheoretica 50 (4).
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