Dispersal and fecundity are two fundamental traits underlying the spread of populations. Using integral difference equation models, we examine how individual variation in these fundamental traits and the heritability of these traits influence rates of spatial spread of populations along a one-dimensional transect. Using a mixture of analytic and numerical methods, we show that individual variation in dispersal rates increases spread rates and the more heritable this variation, the greater the increase. In contrast, individual variation in lifetime fecundity only increases spread rates when some of this variation is heritable. The highest increases in spread rates occur when variation in dispersal positively co-varies with fecundity. Our results highlight the importance of estimating individual variation in dispersal rates, dispersal syndromes in which fecundity and dispersal co-vary positively and heritability of these traits to predict population rates of spatial spread.

中文翻译：

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扩散和繁殖力的个体变化增加了空间扩散的速率。

分散和繁殖力是人口扩散的两个基本特征。使用积分差分方程模型，我们研究了这些基本特征的个体变异以及这些特征的遗传力如何影响一维样带上人口的空间分布率。使用分析和数值方法的混合，我们显示出散布率的个体变化会增加散布率，并且这种变化越可遗传，则增大幅度越大。相反，只有在某些生命力可遗传的情况下，生命力的个体变化才会增加传播速度。当扩散与繁殖力成正相关时，传播率的增加最大。我们的结果突显了估算离散率个体差异的重要性，