Models to examine containment and spread of genetically engineered microbes

Genetically engineered microbes (GEMs) have the potential to revolutionize agricultural techniques by facilitating crop protection and increased productivity. However, there has been widespread concern regarding the potential impact these microbes may have on the environment. Here we mathematically model the dynamics of GEMs in an agricultural setting, focusing on parameters that can be used to summarize the potential of modified microbes for persistence and spread. First developing a comprehensive model for the dynamics of GEMs which includes mobile and stationary classes of GEMs as well as competition from indigenous microflora, we then analyse a sequence of simplified mathematical models with a view to answering two fundamental questions: (1) will the GEMs spread (or invade), and if so how quickly? and (2) what are the best strategies for containing the spread of GEMs in a spatially varying environment?

[1]  J. Walker,et al.  Splash dispersal and wind as factors in epidemiology of halo blight of bean. , 1964 .

[2]  R. Hall,et al.  THE ROLE OF DRIFT DISPERSAL IN PRODUCTION ECOLOGY OF A STREAM MAYFLY , 1980 .

[3]  C. Upper,et al.  Plants as Sources of Airborne Bacteria, Including Ice Nucleation-Active Bacteria , 1982, Applied and environmental microbiology.

[4]  C. Conley,et al.  An application of the generalized Morse index to travelling wave solutions of a competitive reaction-diffusion model , 1984 .

[5]  C. Upper,et al.  Aerial Dispersal of Epiphytic Bacteria over Bean Plants , 1985, Applied and environmental microbiology.

[6]  Y. Bashan.  Migration of the Rhizosphere Bacteria Azospirillum brusilense and Pseudomonas fluorescens Towards Wheat Roots in the Soil , 1986 .

[7]  N. Shigesada,et al.  Traveling periodic waves in heterogeneous environments , 1986 .

[8]  J. Lindemann.  Competition Between Ice Nucleation-Active Wild Type and Ice Nucleation-Deficient Deletion Mutant Strains ofPseudomonas syringaeandP. fluorescensBiovar I and Biological Control of Frost Injury on Strawberry Blossoms , 1987 .

[9]  V. W. Lambou,et al.  Aerial Dispersal and Epiphytic Survival of Pseudomonas syringae during a Pretest for the Release of Genetically Engineered Strains into the Environment , 1988, Applied and environmental microbiology.

[10]  J. Trevors,et al.  Plasmid Transfer in Soil and Rhizosphere , 1988 .

[11]  M. Bramson.  Convergence to Traveling Waves for Systems of Kolmogorov-like Parabolic Equations , 1988 .

[12]  S. Lindow,et al.  Field tests of recombinant ice--Pseudomonas syringae for biological frost control in potato , 1988 .

[13]  Survival of Ice Nucleation-Active and Genetically Engineered Non-Ice-Nucleating Pseudomonas syringae Strains after Freezing , 1989, Applied and environmental microbiology.

[14]  Robert K. Colwell,et al.  The Planned Introduction of Genetically Engineered Organisms: Ecological Considerations and Recommendations , 1989 .

[15]  A. Ōkubo,et al.  On the spatial spread of the grey squirrel in Britain , 1989, Proceedings of the Royal Society of London. B. Biological Sciences.

[16]  G. Knudsen.  Model to predict aerial dispersal of bacteria during environmental release , 1989, Applied and environmental microbiology.

[17]  S. Lindow,et al.  Genetic engineering of bacteria from managed and natural habitats. , 1989, Science.

[18]  J. Trevors,et al.  Transport of a genetically engineered Pseudomonas fluorescens strain through a soil microcosm , 1990, Applied and environmental microbiology.

[19]  S. S. Hirano,et al.  Atmospheric dispersal of ice nucleation-active Bacteria : the role of rain , 1990 .

[20]  L. Stetzenbach,et al.  Evaluation of Four Aerobiological Sampling Methods for the Retrieval of Aerosolized Pseudomonas syringae , 1991, Applied and environmental microbiology.

[21]  J. Trevors.  Respiratory activity of a genetically engineered Pseudomonas fluorescens strain in soil measured using gas chromatography , 1991 .

[22]  J. Trevors,et al.  Environmental risks and fate of genetically engineered microorganisms in soil , 1991 .

[23]  Robert M. May,et al.  Dynamics of metapopulations : habitat destruction and competitive coexistence , 1992 .

[24]  Mats Gyllenberg,et al.  Two General Metapopulation Models and the Core-Satellite Species Hypothesis , 1993, The American Naturalist.

[25]  J. Trevors,et al.  Recombinant and wild‐type Pseudomonas aureofaciens strains in soil: survival, respiratory activity and effects on nodulation of whitebean Phaseolus vulgaris L. by Rhizobiutn species , 1993 .

[26]  J. Ramos,et al.  Suicidal genetic elements and their use in biological containment of bacteria. , 1993, Annual review of microbiology.

[27]  J. Murray,et al.  Competition in a spatially heterogeneous environment: modelling the risk of spread of a genetically engineered population. , 1996, Theoretical population biology.

[28]  Peter Kareiva,et al.  Predicting the outcome of competition using experimental data : Maximum likelihood and bayesian approaches , 1996 .