EVALUATING THE MATHEMATICAL RELATIONSHIP BETWEEN AREA CULTIVATED AND TOTAL PRODUCTION OF SOME TUBERS, GRAINS AND INDUSTRIAL CROPS IN NIGERIA
OLORUNJU, S. A. S., OYAKfflLOME, D. E., DANGUMA, B., OTTI, F.
Abstract
Adequacy of a quadratic model was examined in the
evaluation of the relationship between Area Cultivated (hectare) and Total Production
(tons) for some selected Agricultural crops in Nigeria.
The data used covered the period of 1976 to 1996. The fitted model showed good
fit with high coefficient of Determination R2 that ranged from 95 and 99 percent.
The linear and quadratic terms were all significant. The rate of rise measured
by coefficient of the linear term 'a' were 1.46 and 1.66 for cassava and yams.
The corresponding values for maize, sorghum, rice, cowpea, soybean, millet,
cotton, groundnut and melon were 1.08, 0.907, J.I 3, 1.15, 1.48, 1.05, 1.05,
1.16 and 1.06, respectively. The rate of decline measured by the coefficient
of the quadratic term 'ft' are 0.021, -0.0467 for Cassava and Yams. The corresponding
values for maize, sorghum, rice, cowpea, soybean, millet, cotton, groundnut
and melon were-0.0073, 0.0104, -0.0064, -0.0331, -0.0661, -0.0077, -0.0.330,
-0.0259 and-0.0139 respectively. Sorghum was observed to record positive quadratic
coefficient. The quadratic log model was found to be suitable for describing
the relationship between total production and area cultivated for crops grown
in Nigeria.
Key words:
tubers, grains, industrial crops, area cultivated,
total production