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Spatial Demogenetic Model for Studying Phenomena Observed uponIntroduction of the Ragweed Leaf Beetle in the South of Russia

Published online by Cambridge University Press:  28 November 2013

Yu. V. Tyutyunov ,
O. V. Kovalev  and
L. I. Titova
Yu. V. Tyutyunov*
Affiliation:
Institute of Arid Zones, Southern Scientific Centre of the Russian Academy of Sciences Chekhov street, 41, 344006 Rostov-on-Don, Russia Vorovich Research Institute of Mechanics and Applied Mathematics, Southern Federal University Stachki street, 200/1, 344090 Rostov-on-Don, Russia
O. V. Kovalev
Affiliation:
Zoological Institute of the Russian Academy of Sciences University Quay, 1, 199034 Saint Petersburg, Russia
L. I. Titova
Affiliation:
Vorovich Research Institute of Mechanics and Applied Mathematics, Southern Federal University Stachki street, 200/1, 344090 Rostov-on-Don, Russia
*
⋆Corresponding author. E-mail: tyutyunov@sfedu.ru
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Abstract

The introduction of the ragweed leaf beetle in the South of Russia in 1978–1989 wasaccompanied by a number of spectacular phenomena that determined the general success ofthe ragweed control and further dispersal and acclimatization of the beetles:(i) formation of solitary population waves (SPW), characterized by anextremely high density of the phytophage population at the narrow band of the front of amoving wave defoliating nearly all ragweed plants, and (ii) rapid, within5-6 generations, development of flight in the leaf beetle species that in its homelandlost the ability to fly. We present here a demogenetic model capable of reproducing boththese phenomena, assuming that the flight ability of a phytophage population is governedby a single diallelic locus with flight and flightless alleles that determine threegenotypes of the ragweed leaf beetle. Simulation results agree well with the practicalrecommendation of retaining a high density of common ragweed in the release area in orderto provide the necessary conditions for the initial increase of the leaf beetle populationand the formation of the wave. The model confirms the earlier hypothesis that the SPW isthe key factor that determines efficiency of weed biocontrol program. We demonstrate alsothat the formation of the wave has crucially accelerated the development of the beetles’ability to fly.

Keywords

spatio-temporal dynamicstrophic systemAllee effecttaxis–diffusion–reactiontrophotaxisdemogenetic Kostitzin modelgene surfingbiological controlweed controlAmbrosia artemisiifolia L.Zygogramma suturalis F.

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Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 8 , Issue 6: Ecology , 2013 , pp. 80 - 95
Copyright
© EDP Sciences, 2013

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