Abstract
Abstract. A mathematical model which describes the germination percentage dependency on time and temperature of a seed population was derived from the experimental results with a seed population of Amaranthus patulus Bertol. under sub‐optimal temperature conditions (Washitani & Takenaka, 1984). The equation of the model which is a modified thermal time model is image where G is germination percentage at a certain time after the start of imbibition (t) at a certain temperature (T), μT1 and σT1 are the mean and standard deviation of lower limit temperature among the seeds belonging to the seed population, and Tb, m, and A are the parameters characterizing the linear relationship between the rate and temperature, namely, Tb is the base temperature, m, the median of the required thermal time and A, a parameter determining the pattern of the variation of the required thermal time within seed population, respectively. The equation yields time courses for germination which are very similar to those observed by experiment.
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