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Disease on plants usually starts out at a low level, a small number of
plants affected and a small amount of plant tissue affected, and it becomes of
concern to us only when its incidence and severity increases with time. When
we look at some examples of plant disease epidemics from the published
literature, we not only notice that the incidence or severity starts near
zero and then increases dramatically, but we also can discern some distinct
patterns of development with time. For example, in
Phytophthora blight of pepper seedlings (Phytophthora capsici)
and Fusarium kernel rot (Fusarium moniliforme, currently F. verticilloides) of maize,
disease progress is roughly
linear (allowing for some minor deviations that
we can consider random error).
On the other hand, in bean rust (Uromyces phaseoli) and grey leaf spot of corn (Cercospora zeae-maydis), there is a definite upward curve; that is, disease increases at an increasing rate, a curve we could call exponential.
Obviously plant disease cannot continue to increase forever, and as the level of disease approaches 100%, the disease progress curve gradually flattens out. For example, in epidemics such as the infection of beans by Sclerotium rolfsii or the infection of tobacco by Phytophthora nicotianae, disease progress starts out looking linear but slows down as it approaches a maximum.
Likewise, the disease progress curves of Puccinia graminis subsp. graminicola on ryegrass and Pyrenophora teres f. sp. teres on barley appear exponential at first, but as time goes on and the incidence and severity of disease approach 100%, the rate of disease progress gradually slows to zero, giving both curves a somewhat sigmoid shape ("S" shape).
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