# American Institute of Mathematical Sciences

August  2004, 4(3): 777-788. doi: 10.3934/dcdsb.2004.4.777

## The mathematical method of studying the reproduction structure of weeds and its application to Bromus sterilis

 1 Danish Institute of Agricultural Sciences, Department of Agricultural Engineering, Research Centre BygholmPostboks 536, 8700 Horsens, Denmark 2 Department of Crop Protection Research Center, Flakkebjerg, DK-4200 Slagelse, Denmark 3 Key Laboratory for ecosystem models and their application, The State Ethnic Affairs Commission of PRC, The Second North-West University for Nationalities, Yinchuan, 750021, China, China

Received  September 2002 Revised  December 2003 Published  May 2004

This article discusses the structure of weed reproduction incorporating the application of a mathematical model. This mathematical methodology enables the construction, testing and application of distribution models for the analysis of the structure of weed reproduction and weed ecology. The mathematical model was applied, at the individual level, to the weed species, Bromus sterilis. The application of this method, to the weed under competition, resulted in an analysis of the overall reproduction structure of the weed which follows approximately Gaussian distribution patterns and an analysis of the shoots in the weed plant which follow approximately Sigmoid distribution patterns. It was also discovered that the application of the mathematical distribution models, when applied under specific conditions could, effectively estimate the seed production and total number of shoots in a weed plant. On the average, a weed plant has 3 shoots, with each shoot measuring 90cm in height and being composed of 21 spikelets. Besides the estimations of the total shoots and seed production within the experimental field, one may also apply these mathematical distribution models to estimate the germination rate of the species within the experimental field in following years.
Citation: Svend Christensen, Preben Klarskov Hansen, Guozheng Qi, Jihuai Wang. The mathematical method of studying the reproduction structure of weeds and its application to Bromus sterilis. Discrete & Continuous Dynamical Systems - B, 2004, 4 (3) : 777-788. doi: 10.3934/dcdsb.2004.4.777
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