Abstract
One of the calculation methods of the future food consumption pattern was developed. A n dimensional pattern vector was thought to exist and move on the surface of the unit sphere in n dimensional space. A calculation method was studied on the next 2 assumptions, (1) a pattern moves on a straight line in the sphere surface, (2) infinite time is necessary to move from a boundary to another boundary of the first quadrant area.
Firstly, a locus of pattern moving is expressed as vectors using a vector OP
in which OA represents the present pattern, OB represents the past pattern and OP is a vector which has a right angle with vector OA. Secondly, the position of a future pattern is decided using the distance (radian) from the starting boundary point, according to the logistic curve equation,
in which y is a distance from the starting point, t is a time and K, ao and a1 are parameters. In this study, the distance from the starting point to the targent point is used as the K value.
