针叶树种抗寒性数学模型研究进展

介绍了几种针叶树种抗寒性动态模型的研究发展概况、不同模型的优势和局限，以及今后的研究展望.在已建立的数学模型中，初期研究只考虑温度作为影响抗寒性的环境因子，引入了抗寒性固定水平概念；由于这类模型对抗寒性的预测存在明显误差，之后的研究假设抗寒性固定水平是温度和光周期加性影响的结果，并考虑了抗寒性年发育阶段对环境的响应.加性模型受到研究人员的重视，并对加性原理进行了实际检验.有研究表明,温度和光周期对欧洲赤松苗不同器官的影响不是累加的，而是存在交互作用.因此,抗寒性数学模型需要不断地发展和完善.

Research advances in mathematical model of coniferous trees cold hardiness.

Plant cold hardiness has complicated attributes. This paper introduced the research advances in establishing the dynamic models of coniferous trees cold hardiness, with the advantages and disadvantages of the models presented and the further studies suggested. In the models established initially, temperature was concerned as the only environmental factor affecting the cold hardiness, and the concept of stationary level of cold hardiness was introduced. Due to the obvious prediction errors of these models, the stationary level of cold hardiness was modeled later by assuming the existence of an additive effect of temperature and photoperiod on the increase of cold hardiness. Furthermore, the responses of the annual development phases for cold hardiness to environment were considered. The model researchers have paid more attention to the additive effect models, and run some experiments to test the additivity principle. However, the research results on Scots pine (Pinus sylvestris) indicated that its organs did not support the presumption of an additive response of cold hardiness by temperature and photoperiod, and the interaction between environmental factors should be taken into account. The mathematical models of cold hardiness need to be developed and improved.