Abstract
Transgenic Bt crops have been integrated as a central component of the agricultural policies of many nations across the globe due to their insecticidal properties. While focus on increased yield resulting from the use of Bt crops has overshadowed the concerns of pest populations developing resistance, resistance has been recently discovered in even highly managed fields. One issue that has received less attention is the resulting set of ecological dynamics from escaped Bt products into wild settings. I present a differential equation model of the ecological interaction between a wild plant–pest community and an invading Bt toxin-producing plant and the ensuing evolution of pest resistance. Key to this model investigation is the assumption of energy costs with both the production of Bt toxin by Bt plants and the resistance to Bt toxin exhibited by resistant pest individuals. Results show that persistence of the initial invading Bt plant population is possible through an intransitive loop dynamic. Furthermore, coexistence of wild-type plants and pests as well as Bt-producing plants and resistant pests is possible through the dynamics resultant from energy trade-offs.
This is a preview of subscription content, access via your institution.









References
Armstrong RA, McGehee R (1980) Competitive exclusion. T Am Nat 115(2):151–170
Bird LJ, Ackhurst R (2007) Effects of host plant species on fitness costs of Bt resistance in Helicoverpa armigera (Lepidoptera: Noctuidae). Biol Control 40(2):196–203
Crickmore N (2005) Using worms to better understand how Bacillus thuringiensis kills insects. Trends Microbiol 13:347–350
Ellstrand NC, Garner LC, Hedge S, Guadagnuolo R, Blancas L (2007) Spontaneous hybridization between maize and teosinte. J Hered 98(2):183–187
Ferré J, Van Rie J (2002) Biochemistry and genetics of insect resistance to Bacillus thuringiensis insecticidal crystal proteins. Annu Rev Entomol 47:501–533
Fitt GP, Andow DA, Carrière Y, Moar WJ, Schuler TH, Omoto C, Kanya J, Okech MA, Arama P, Maniania NK (2004) Resistance risks and management associated with Bt maize in Kenya. In: Hilbeck A, Andow DA (eds) Environmental risk assessment of transgenic organisms: a case study of Bt Maize in Kenya. CABI, Wallingford, pp 209–250
Gassmann AJ, Carriere Y, Tabashnik N (2009) Fitness costs of insect resistance to Bacillus thuringiensis. Annu Rev Entomol 54:147–163
Gassmann AJ, Pezold-Maxwell P, Keweshan R, Dunbar M (2011) Field-evolved resistance to Bt maize by Western corn rootworm. Plos One 6(7):1–7
Gilbert N (2010) GM crop escapes into the American wild. Nature News. doi:10.1038/news.2010.393
Glaser JA, Matten SR (2003) Sustainability of insect resistance management strategies for transgenic Bt corn. Biotechnol Adv 22(2003):45–69
Glaum PR, Ives AR, Andow DA (2012) Contamination and management of resistance evolution to high-dose transgenic insecticidal crops. Theor Ecol 5(2):195–209
Guo RQ, Huan H, Yang WJ, Liu B, Sun SC (2011) Differential responses of leaf water-use efficiency and photosynthetic nitrogen-use efficiency to fertilization in Bt-introduced and conventional rice lines. Photosynthetica 49(4):507–514
Heuberger S, Ellers-Kirk C, Yafuso C, Gassmann AJ, Tabashnik BE, Dennehy TJ, Carrière Y (2008) Effects of refuge contamination by transgenes on Bt resistance in pink bollworm (Lepidoptera: Gelechiidae). J Econ Entomol 101:504–514
Heuberger S, Ellers-Kirk C, Tabashnik B, Carriere Y (2010) Pollen- and seed-mediated transgene flow in commercial cotton seed production fields. Plos One 5(11):e14128
Ives AR, Glaum PR, Ziebarth NL, Andow DA (2011) The evolution of resistance to two-toxin pyramid transgenic crops. Ecol Appl 21(2):503–515
Jaffe G (2009) Complacency on the farm: significant noncompliance with EPA’s refuge requirements threatens the future effectiveness of genetically engineered pest-protected corn. Center for Science in the Public Interest, Washington, DC
James C (2009) Brief 41: Global status of commercialized biotech/GM crops (2009). ISAAA Brief No. 41. International Service for the Acquisition of Agribiotech Applications, Ithaca
Kaplan JL, Yorke JA (1979) Chaotic behavior of multidimensional difference equations. In: Peitgen HO, Walther HO (eds) Functional differential equations and approximation of fixed points. Springer, Berlin, pp 204–227
Kaplinsky N, Braun D, Lisch D, Hay A, Hake S, Freeling M (2002) Maize transgene results in Mexico are artifacts. Nature 416:601
Ma BL, Subedi KD (2005) Development, yield, grain moisture and nitrogen uptake of Bt corn hybrids and their conventional near-isolines. Field Crop Res 93:199–211
Meihls LN, Higdon ML, Siegfried BD, Miller NJ, Sappington TW (2008) Increased survival of western corn rootworm on transgenic corn within three generations of on-plant greenhouse selection. Proc Natl Acad Sci U S A 105:19177–19182
Mercer KL, Wainwright JD (2008) Gene flow from transgenic maize to landraces in Mexico: an analysis. Agric Ecosyst Environ 123(1–3):109–115
Metz M, Futterer J (2002) Suspect evidence of transgenic contamination. Nature 416:600–601
Otto S, Day T (2007) A biologist’s guide to mathematical modeling in ecology and evolution. Princeton University Press, Princeton
Pollack A (2013) Modified wheat is discovered in oregon. New York Times: Energy and Environment. http://www.nytimes.com/2013/05/30/business/energy-environment/genetically-engineered-wheat-found-in-oregon-field.html?_r=2&. Accessed 10 Dec 2013
Quist D, Chapela I (2001) Transgenic DNA introgressed into traditional maize landraces in Oaxaca Mexico. Nature 414:541–543
Richter H (2008) Can a polynomial interpolation improve on the Kaplan–Yorke dimension? Phys Lett A 372(26):4689–4693
Schafer MG, Ross AA, Londo J, Burdick CA, Lee EH, Travers SE, Van de Water PK, Sagers SL (2011) The establishment of genetically engineered canola populations in the U.S. Plos One 6(10):e25736
Schreiber SJ (2000) Criteria for Cr robust permanence. Journal of Differential Equations 162:400–426
Strogatz S (1994) Nonlinear dynamics and chaos. Westview: A Division of Perseus Books Group, Cambrdige
Tabashnik BE (1994) Evolution of resistance to Bacillus thuringiensis. Annu Rev Entomol 39:47–79
Vandermeer J (2011) Intransitive loops in ecosystem models: from stable foci to heteroclinic cycles. Ecol Complex 8(1):92–97
Vandermeer JH, Pascual M (2006) Competitive coexistence through intermediate polyphagy. Ecol Complex 3:37–43
Wolf A, Swift JB, Swinney HL, Vastano JA (1985) Determining Lyapunov exponents from a time series. Physica D 16:285–317
Worzbusekros A (1982) Remark on a conjecture of Kaplan and Yorke. Proc Am Math Soc 85:381–382
Zhang Z, Tian X, Duan L, Wang B, He Z, Li Z (2007) Differential responses of conventional and Bt-transgenic cotton to potassium deficiency. J Plant Nutr 30(4–6):659–670
Acknowledgements
I would like to thank Gyorgy Barabas for his various instances of assistance with coding in Mathematica and discussion of some of the ideas presented in this work. I would also like to thank the two reviewers of this manuscript. Their insightful reviews strengthened the quality of this manuscript.
Author information
Authors and Affiliations
Corresponding author
Electronic supplementary material
Below is the link to the electronic supplementary material.
ESM 1
(DOCX 894 kb)
Rights and permissions
About this article
Cite this article
Glaum, P.R. Dual invasion analysis: a general model of novel ecological dynamics due to Bt product and resistant pests in wild settings. Theor Ecol 7, 181–194 (2014). https://doi.org/10.1007/s12080-013-0209-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12080-013-0209-1
Keywords
- Bt crop
- Ecological Risk
- Escaped GMOs
- Bt resistance
- ODE model
- GM crop