Computers and Electronics in Agriculture
28 (2000) 51–65
A nearest neighbour approach to the
simulation of spread of barley yellow dwarf
virus
T.J. Chaussalet
a,
*, J.A. Mann
b
, J.N. Perry
b
,
J.C. Francos-Rodriguez
a
a
Caendish School of Computer Science, Uniersity of Westminster, 115 New Caendish Street,
London W1M 8JS, UK
b
IACR-Rothamsted Experimental Station, Harpenden, Herts AL52JQ, UK
Received 1 November 1999; received in revised form 10 February 2000; accepted 16 February 2000
Abstract
The spread of insect vectored plant virus diseases such as barley yellow dwarf virus has
traditionally been depicted as disease progress curves which represent an integration of the
interactions between virus, host plant and vector. In this paper, virus spread is described by
the probability of a plant becoming infected conditioned on the number of infected plants
neighbouring it. This has the advantage that the influence of aphid movement can be
incorporated into the definition of the probability of a neighbour becoming infected. Data
were collected from an experimental field of barley (cv. Alexis) sown at a row spacing of 12
cm on 29 March 1993 at Rothamsted Experimental Station. Twelve plots, each approxi-
mately 84 ×70 cm were divided into a 7 ×7 grid of cells. The plots were arranged in four
blocks, each with two treatments T1 (S. aenae adults) and T2 (S. aenae nymphs) and an
untreated control. The probabilities of a plant, or rather a cell which is a group of plants,
becoming infected conditioned on the number of its infected neighbours was estimated from
this experiment considering various neighbourhoods. These probability estimates were then
used to develop visual interactive simulation models of spread on a 51 ×51 grid of cells. In
all simulation models, the central cell was set as infected at the start of the simulation to
match the experimental design for treatments T1 and T2. The simulations were run for a
15-week period, replicated 50 times, and the resulting infection counts were averaged. These
simulations were used to estimate the rate of spread of BYDV and to perform a range of
sensitivity analyses.
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* Corresponding author. Tel.: +44-171-9115000; fax: +44-171-9115089.
E-mail address: chausst@wmin.ac.uk (T.J. Chaussalet)
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