Please cite this article in press as: Mammeri, Y., et al., How changes in the dynamic of crop susceptibility and cul-
tural practices can be used to better control the spread of a fungal pathogen at the plot scale? Ecol. Model. (2014),
http://dx.doi.org/10.1016/j.ecolmodel.2014.02.017
ARTICLE IN PRESS
G Model
ECOMOD-7156; No. of Pages 14
Ecological Modelling xxx (2014) xxx–xxx
Contents lists available at ScienceDirect
Ecological Modelling
journa l h om epa ge: www.elsevier.com/locate/ecolmodel
How changes in the dynamic of crop susceptibility and cultural
practices can be used to better control the spread of a fungal pathogen
at the plot scale?
Y. Mammeri
a,∗
, J.B. Burie
b
, M. Langlais
b
, A. Calonnec
c,d
a
LAMFA – CNRS UMR 7352, Université de Picardie Jules Verne, 80039 Amiens, France
b
UMR CNRS 5251 IMB, Université de Bordeaux, 3 ter Place de la Victoire, 33076 Bordeaux, France
c
INRA, UMR1065 SAVE, 33883 Villenave d’Ornon, France
d
Université de Bordeaux, ISVV, UMR SAVE, 33883 Villenave d’Ornon, France
a r t i c l e i n f o
Article history:
Available online xxx
Keywords:
Plant-pathogen
Heterogeneous plot
PDE–ODE
Simulations
Treatments
a b s t r a c t
A PDEs–ODEs model was developed to describe the spread of an airborne fungal pathogen on grapevine.
The model was able to retrieve the main characteristics of the system: (1) a host growing during the
whole season with time evolution in susceptibility, (2) a crop highly structured in rows with potential
heterogeneities of plant growth and susceptibility within and between plots. These characteristics are
modified by cultural management. Simulations were performed to test the effect of crop spatial hetero-
geneities, within and between plots, on the disease spread. Heterogeneities considered were the plant
growth (vigour, earliness), susceptibility (susceptible vs resistant, treated vs untreated) and the spatial
arrangements (patches vs rows). The main effect on disease reduction was obtained by arrangement in
rows of susceptible and fully resistant plants.
© 2014 Elsevier B.V. All rights reserved.
1. Introduction
The high success of controlling plant pathogens through pes-
ticide applications has limited the amount of attention paid to
influence of cultural practices or alternative control methods. How-
ever, over the past 30 years, strategies for crop protection relying
on the use of pesticides have generated complex and controversial
issues both concerning the human health and on the environ-
ment. Growers are now constrained to significantly reduce the
use of fungicides by European directives on the sustainable use
and their registration (Directive 1107/2009/EU). Also the French
government currently enforces a national action plan for pesticide
reduction (the Ecophyto 2018 plan) which aims at halving pesticide
use over a 10-year period. Consequently, low-pesticide systems
based on the development of innovative control methods need to
be developed and their performance to be evaluated (Andrivon
et al., 2013). One of these control methods could rely on mod-
ification of plant growth and architecture by using architectural
diversity and cultural practices. Evidences of epidemic variations
attributed to modifications of canopy porosity and susceptibility in
∗
Corresponding author.
E-mail address: youcef.mammeri@u-picardie.fr (Y. Mammeri).
main pathosystems and on their effects on pathogen processes such
as infection and dispersion have recently been reviewed (Calonnec
et al., 2013). Spatial heterogeneity can be generated, at the plant,
plot and landscape levels with changes over time. However, setting
up and implementing such alternatives in sustainable agriculture
requires research to develop models able to explore hypotheses
on their functioning and to test cropping systems that could be
used to control and reduce disease spread. Simulations allow gen-
erating plots or patches within plots which differ in phenology,
growth rate, crop management and training system for various cli-
matic scenarii which can differently impact plant and pathogen
growth. The effects of individual plant and crop heterogeneities
on pathogen or disease spread have rarely been explicitly taken
into account in epidemiological models. However, the influence
of spatial heterogeneities on the spread of a biological invasion
has been investigated both theoretically and through model sim-
ulations (Hastings et al., 2005). The models involved are spatially
explicit simulation models, integrodifference equations (Kot et al.,
1996), and reaction-diffusion equations. The influence of hetero-
geneities is taken into account by determining conditions for a
successful invasion and by estimating spreading speeds. Spatial
heterogeneity was introduced into a reaction-diffusion on a peri-
odic mono dimensional domain with alternating favourable and
unfavourable patches (Shigesada et al., 1986). The authors showed
http://dx.doi.org/10.1016/j.ecolmodel.2014.02.017
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