One of the main insights achieved in the early days of agricultural science
is that each environment has a specific balance of resources, which is ava
ilable to the crop. This balance determines crop production, the effect of
resource addition and the effect of agronomic operations. However, attempts
to quantify this balance are scarce. It is normally taken into account ind
irectly by a general description of soil, climate, topography, land use his
tory, etc. This paper advocates quantifying this balance by quantification
of the degree of limitation of resources. A coefficient (between zero and o
ne) is developed which implements this idea. The paper shows that under a m
oderate assumption, the sum of the limitation coefficients of all resources
equals one. This makes the deduction possible of non-limiting resources. T
he original binary concept of limitation can be regarded as a special case
of this coefficient. The paper shows that crop response to addition of a re
source can be viewed as the product of: the limitation coefficient, the use
efficiency, and the amount of the dose. General crop production principles
as the law of diminishing returns and the law of the optimum can be interp
reted easily this way. Methods to estimate experimentally the limitation co
efficients an discussed. The methods are illustrated by estimating the degr
ee of limitation of nitrogen and phosphorus in southwest Niger. These two e
lements account for more than 70% of the total limitation (of carbon dioxid
e, radiation, water, and all nutrients), which is in agreement with other s
cientists in this region who indicate these two elements as the 'principal'
limiting factors. (C) 2000 Elsevier Science B.V. All rights reserved.