水稻自然生长趋势的数学模型和动态分析

MATHEMATICAL MODELS OF NATURAL GROWTH TENDENCY OF RICE AND ITS DYNAMIC ANALYSIS

本研究以随机过程理论为基础，应用数理方法，在分期播种的基础上，提出了一个受遗传特性控制的水稻各生物学参量自然生长趋势的数学模型。并进行了重复验证，得到了不同生育时段各生物学参量的生长速度（一阶导数）和生长速度的变化率（二阶导数），揭示了水稻生长的基本规律。并结合实测资料，通过相关分析，得到影响各生物学参量的关键气象因子，将水稻生长的研究建立在定量的基础上，有利于更加合理地采用各项高产栽培和农田管理措施。

The research was based on theories of stochastic process and mathe-matical statistics.The mathematical models of natural growth tendency of different biological parameters were put forward.Then parameters of different models were determined through fiel experiments,the growth tendency velocity and variation rate of growth velocity in every development stage were obtained by dynamic analysis.The basic regular of rice growth was revealed.So it is very useful to adopt various measures of high-yield cnlture and farmland management rationally.