Shaw M W, Harwood T D, Wilkinson M J, Elliott L
School of Biological Sciences, The University of Reading, 2 Earley Gate, Whiteknights, Reading RG6 6AU, UK.
Proc Biol Sci. 2006 Jul 7;273(1594):1705-13. doi: 10.1098/rspb.2006.3491.
Models of windblown pollen or spore movement are required to predict gene flow from genetically modified (GM) crops and the spread of fungal diseases. We suggest a simple form for a function describing the distance moved by a pollen grain or fungal spore, for use in generic models of dispersal. The function has power-law behaviour over sub-continental distances. We show that air-borne dispersal of rapeseed pollen in two experiments was inconsistent with an exponential model, but was fitted by power-law models, implying a large contribution from distant fields to the catches observed. After allowance for this 'background' by applying Fourier transforms to deconvolve the mixture of distant and local sources, the data were best fit by power-laws with exponents between 1.5 and 2. We also demonstrate that for a simple model of area sources, the median dispersal distance is a function of field radius and that measurement from the source edge can be misleading. Using an inverse-square dispersal distribution deduced from the experimental data and the distribution of rapeseed fields deduced by remote sensing, we successfully predict observed rapeseed pollen density in the city centres of Derby and Leicester (UK).
需要风媒花粉或孢子移动模型来预测转基因作物的基因流动以及真菌病害的传播。我们提出了一种简单的函数形式,用于描述花粉粒或真菌孢子移动的距离,以用于通用的扩散模型。该函数在次大陆距离上具有幂律行为。我们表明,在两项实验中,油菜花粉的空气传播扩散与指数模型不一致,但幂律模型拟合良好,这意味着远处田地对观测到的捕获量有很大贡献。通过应用傅里叶变换对远处和本地源的混合物进行反卷积来考虑这种“背景”后,数据最适合指数在1.5到2之间的幂律。我们还证明,对于一个简单的面源模型,中位扩散距离是田间半径的函数,并且从源边缘进行测量可能会产生误导。利用从实验数据推导的平方反比扩散分布和通过遥感推导的油菜田分布,我们成功预测了英国德比和莱斯特市中心观测到的油菜花粉密度。