Constructing a Multivariate Linear Model to Investigate the Wind Propagation Dynamics of Dandelion with Analytic Hierarchy Process

Abstract

The dandelion, a plant native to Eurasia, has successfully dispersed to regions across the globe. This dispersal is facilitated by the wind, which carries dandelion seeds attached to the pappus or petals of the pappus over considerable distances. Nevertheless, the extensive distribution of the dandelion has garnered significant attention. While this plant currently poses no immediate harm, the issue of species invasion resulting from its presence has become a matter of concern. Consequently, it is imperative to conduct research on the dissemination of the dandelion and its potential ramifications on other species. In addressing the first problem, this article commences by progressing from a rudimentary to a more intricate examination. The study dissects the wind propagation dynamics of dandelion, scrutinizing both the vertical and horizontal dimensions. It is deduced that the dandelion rapidly attains a threshold velocity during the early stages of propagation, prompting the construction of a comprehensive kinematic model for dandelion seed dispersal by integrating the analyses of both directions. Subsequently, a logarithmic distribution-based seed wind propagation model is formulated, drawing upon the aforementioned kinematic model. Lastly, the article deliberates upon the consequential ramifications. For the second problem, a multivariate linear model is developed to consider various factors including plant characteristics, environmental hazards, and ecosystem resistance. The analytic hierarchy process is employed to discuss the weight of each influencing factor and quantitatively assess the invasion ability of Taraxacum mongolicin. Ultimately, the model is tested and the collected data is utilized to verify the validity of the model.