Multiregional periodic matrix for modeling the population dynamics of sardine ( sardina pilchardus ) along the moroccan atlantic coast: Management elements for fisheries
Abdesslam Boutayeb Mansour Serghini, Najib Charouki Pierre Auger, Omar Ettahiri Azeddine Ramzi & Maurice Tchuente
Acta Biotheoretica 57 (4) (2009)
In this paper, we present a deterministic time discrete mathematical model based on multiregional periodic matrices to describe the dynamics of Sardina pilchardus in the Central Atlantic area of the Moroccan coast. This model deals with two stages (immature and mature) and three spatial zones where sardines are supposed to migrate from one zone to another. The population dynamics is described by an autonomous recurrence equation N ( t + 1) = A . N ( t ), where A is a positive matrix whose entries are estimated using data collected during biannual acoustic surveys carried out from 2001 to 2003 onboard the Norwegian research vessel “Dr Fridtjof Nansen”. The dominant eigenvalue λ of A that gives the long-term growth rate of fish population is smaller than one. This agrees with the stock decrease observed in the data collected. We show that λ is highly sensitive to the recruitment rate and much less sensitive to the reproduction rate. These results can clearly be used to define an efficient scenario in order to fight for instance against a stock decrease.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Linear Discrete Population Models with Two Time Scales in Fast Changing Environments II: Non-Autonomous Case.Ángel Blasco, Luis Sanz, Pierre Auger & Rafael Bravo de la Parra - 2002 - Acta Biotheoretica 50 (1):15-38.
Analysing Population Numbers of the House Sparrow in the Netherlands with a Matrix Model and Suggestions for Conservation Measures.Chris Klok, Remko Holtkamp, Rob van Apeldoorn, Marcel E. Visser & Lia Hemerik - 2006 - Acta Biotheoretica 54 (3):161-178.
Population Dynamics Modelling in an Hierarchical Arborescent River Network: An Attempt with Salmo Trutta.S. Charles, R. Bravo de la Parra, J. P. Mallet, H. Persat & P. Auger - 1998 - Acta Biotheoretica 46 (3):223-234.
A Matrix Model to Study the Colonization by Brown Trout of a Virgin Ecosystem in the Kerguelen Islands.Marc Jarry, Patrick Davaine & Edward Beall - 1998 - Acta Biotheoretica 46 (3):253-272.
Le Modele Matriciel Deterministe de Leslie Et Ses Applications En Dynamique Des Populations.Jorge Paulo Cancela & Kimon Hadjibiros - 1977 - Acta Biotheoretica 26 (4).
The Pattern of Population Growth as a Function of Redundancy and Repair.A. Steiner & I. Walker - 1990 - Acta Biotheoretica 38 (2):83-90.
Reduction of Supercritical Multiregional Stochastic Models with Fast Migration.Ángeles Rincón, Juan Antonio Alonso & Luis Sanz - 2009 - Acta Biotheoretica 57 (4):479-500.
Modeling the Population Dynamics of Annual Plants with Seed Bank and Density Dependent Effects.Marc Jarry, Mohamed Khaladi, Martine Hossaert-McKey & Doyle McKey - 1995 - Acta Biotheoretica 43 (1-2):53-65.
The Reliability of Approximate Reduction Techniques in Population Models with Two Time Scales.Luis Sanz & Rafael Bravo de la Parra - 2002 - Acta Biotheoretica 50 (4):297-322.
Added to index2009-10-24
Total downloads16 ( #296,273 of 2,163,980 )
Recent downloads (6 months)1 ( #348,017 of 2,163,980 )
How can I increase my downloads?