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Mathematical Modeling Describing the Effect of Fishing andDispersion on Hermaphrodite Population Dynamics

Published online by Cambridge University Press:  13 September 2010

S. Ben Miled ,
A. Kebir  and
M. L. Hbid
S. Ben Miled*
Affiliation:
ENIT-LAMSIN, University of Tunis el Manar, BP 37, 1002 Tunis Belvédère, Tunisia Institut Pasteur de Tunis, B.P. 74, 1002 Tunis Belvédère, Tunisia
A. Kebir
Affiliation:
Institut Pasteur de Tunis, B.P. 74, 1002 Tunis Belvédère, Tunisia LMDP, Cadi Ayyad University, BP 2390 Marrakech 4000, Morocco
M. L. Hbid
Affiliation:
LMDP, Cadi Ayyad University, BP 2390 Marrakech 4000, Morocco
*
*Corresponding author: E-mail:[email protected]
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Abstract

In order to study the impact of fishing on a grouper population, we propose in this paperto model the dynamics of a grouper population in a fishing territory by using structuredmodels. For that purpose, we have integrated the natural population growth, the fishing,the competition for shelter and the dispersion. The dispersion was considered as aconsequence of the competition. First we prove, that the grouper stocks may be lesssensitive to the removal of large male individuals if female population are totallyprotected. Second, we show that fishing does not disturb the demographic structure of thepopulation. Finally, we prove that female selective fisheries have the potential ofdrastically reduce reproductive rates. We also prove that male fishing decreasescompetition and then increases the total population number.

Keywords

grouperfishingcompetition for shelterssex-structured population dynamicsdensity dependence
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 6: Ecology (Part 2) , 2010 , pp. 159 - 179
Copyright
© EDP Sciences, 2010

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References

W. C. Allee. Animal Aggregations: A Study in General Sociology. University of Chicago Press, 1931.
Alonzo, S. H. Mangel, M.. The effects of size-selective fisheries on the stock dynamics of and sperm limitation in sex-changing fish . Fishery Bulletin, 102 (2004), 1–13.Google Scholar
R. J. H. Beverton, S. J. Holt. A review of the lifespans and mortality rates of fish in nature, and their relation to growth and other physiological characteristics. In C. Foundation and G. E. W. Wolstenholme, editors, Ciba foundation colloquia on ageing, 5 (1959), 142–180. Little, Brown.
Bruslé, J.. Synopsis of biological data on the groupers Epinephelus aeneus (Geoffrey Saint Hilaire, 1809) and Epinephelus guaza (Linnaeus, 1758) of the Atlantic Ocean and Mediterranean Sea . FAO Fisheries Synopsis, 129 (1995):1–69. Google Scholar
Bruslé, J. Bruslé, S.. Contribution à l’étude de la reproduction de deux espèces de merous (Epinephelus aeneus et Epinephelus guaza) des côtes de Tunisie . Revue des Travaux de l’Institut de Péches Maritimes de Nantes, 39 (1976), No. 3, 313–320.Google Scholar
C. Chauvet. Statut d’Epinephelus guaza (Linnaeus, 1758) et éléments de dynamique des populations méditerranéenne et atlantique. In Boudouresque C.F., M. Avon and V. Gravez, (edit.), Les Espèces Marines Protéger en Méditerranée. GIS Posidonie pub., France, 1991, 255–275.
Chauvet, C.. Calcul par otolimetrie de la relation long. T-Age d’Epinephelus guaza (Linnaeus, 1758) de la Côte Nord de la Tunisie . In Rapport de la Commission Internationale Explor. Sci. de la Mer Méditerranée, 27 (1981), 103–106.Google Scholar
Chauvet, C.. Etude de la croissance du mérou Epinephelus guaza (Linné, 1758) des côtes tunisiennes . Aquat. Living Resour., 1 (1988), No. 4, 277–288. CrossRefGoogle Scholar
C. Chauvet. Relation entre structures démographiques et de frai: Cas du mérou noir Epinephelus marginatus (Lowe, 1834). Observation de longue durée en Méditerrané Occidentale. Private Comm., 2008.
J. M. Cushing. An introduction to structured population dynamics. volume 71 of CBMS-NSF Regional Conference in applied Math. SIAM, Philadelphia, 1998.
F.A.O. La situation mondiale des pêches et de l’aquaculture. (SOFIA). Technical report, FAO, 2002.
Ghiselin, M. T.. The evolution of hermaphroditism among animals . Q. Rev. Biol., 44 (1969), No. 2, 189–208.CrossRefGoogle ScholarPubMed
H. Göthel. Fauna Marina del Mediterráneo. Ediciones Omega, S.A., Barcelona, 1992.
P. C. Heemstra, J. E. Randall. Groupers of the world (family Serranidae, subfamily Epinephelinae). An annotated and illustrated catalogue of the grouper, rockcod, hind, coral grouper and lyretail species known to date. volume 16 of FAO species catalogue. FAO Fish. Synop., Rome, 1993.
A. Laurec, J. C. Le Guen. Dynamique des populations marines exploitées; Tome 1: Concepts et Modèles, volume 45 of Rapports Scientifiques et Techniques. CNEXO, 1981.
Liu, M. Sadovy, Y.. The influence of social factors on adult sex change and juvenile sexual differentiation in a diandric, protogynous epinepheline, Cephalopholis boenak (Pisces, Serranidae) . J. Zool (London), 264 (2004), No. 3, 239–248.CrossRefGoogle Scholar
T. J. Quinn, R. B. Deriso. Quantitative fish dynamics. Oxford University Press, New york USA, 1999.
J. E. Randall. Coastal Fishes of Oman. University of Hawaii Press, Honolulu, 1995.
Warner, R. R.. Sex change and the size-advantage model . Trends Ecol. Evol., 3(1988) No. 6, 133–136. CrossRefGoogle ScholarPubMed
Zabala, M., Garcia-Rubies, A., Louisy, P., Sala, E.. Spawning behaviour of the Mediterranean dusky grouper Epinephelus marginatus (Lowe, 1834) (Pisces, Serranidae) in the Medes Islands Marine Reserve (NW Mediterranean, Spain) . Scientia Marina, 61(1997), No. 1, 65–77. Google Scholar
Zabala, M., Louisy, P., Garcia-Rubies, A., Gracia, V.. Socio-behavioural context of reproduction in the Mediterranean dusky grouper Epinephelus marginatus (Lowe, 1834) (Pisces, Serranidae) in the Medes Islands Marine Reserve (NW Mediterranean, Spain) . Scientia Marina, 61 (1997), No. 1,79–98. Google Scholar