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Mathematical description of the seed germination dependency on time and temperature
Author(s) -
WASHITANI IZUMI,
TAKENAKA AKIO
Publication year - 1984
Publication title -
plant, cell and environment
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.646
H-Index - 200
eISSN - 1365-3040
pISSN - 0140-7791
DOI - 10.1111/1365-3040.ep11589812
Subject(s) - germination , imbibition , population , dependency (uml) , mathematics , limit (mathematics) , thermal , statistics , thermodynamics , horticulture , biology , physics , mathematical analysis , computer science , demography , artificial intelligence , sociology
. 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 iswhere G is germination percentage at a certain time after the start of imbibition ( t ) at a certain temperature ( T ), μ T 1 and σ T 1 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.