Ecological Modelling 222 (2011) 1002–1015
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Ecological Modelling
journal homepage: www.elsevier.com/locate/ecolmodel
Integrating farming techniques in an ecological matrix model: Implementation
on the primrose (Primula vulgaris)
A. Fargue-Lelièvre
a,∗
, D. Le Cœur
b
, J. Baudry
b
a
UMR SAD-APT, INRA, Bat. EGER, BP1, F-78850 Thiverval-Grignon, France
b
UR SAD-PAysage, 65 rue de St-Brieuc, CS 84215, F-35042 Rennes cedex, France
article info
Article history:
Received 8 March 2010
Received in revised form
18 November 2010
Accepted 28 November 2010
Available online 23 December 2010
Keywords:
Population dynamics
Primula vulgaris
Farm management
Roadside management
Leslie matrix model
Population growth rate
abstract
Several studies have proven the importance of field margins in sustaining biodiversity and other work has
been done on the effect of field management on field margin flora. However few models have been built to
predict the effects of field management on the flora. Our project addresses this need for a model capable
of predicting the effect of cropping techniques and their timing on the flora of field margins. Primula
vulgaris is a biodiversity indicator, characteristic of undisturbed flora and found in field margins and
woodlands: its population has been declining for several years. We created a temporal matrix model of
P. vulgaris populations on field margins, taking into account the effects of field, field margin and roadside
management based on literature and expert knowledge. We then analysed its sensitivity to demographic
parameters by comparing lambda (growth rate) sensitivity and elasticity. We compared the management
parameter effect using the relative growth rate of the population after 6 years of simulation. Sensitivity
analysis to biological parameters showed the importance of adult survival and seed production and
germination. Results show that P. vulgaris is particularly sensitive to broad-spectrum herbicides and that
other management techniques like early mowing, scything and scrub-killer (diluted broad-spectrum
herbicide or specific herbicide) are less aggressive. Our simulations show that management of cash crops
in Brittany is too aggressive for P. vulgaris populations and that 4–5 years of grassland in the adjacent
field are necessary to maintain populations.
© 2010 Elsevier B.V. All rights reserved.
1. Introduction
International agreements like the Rio Convention (United
Nations, 1993) or the Common Agricultural Policy of the European
Union, as well as national legislation and regional policies, require
the management of the landscape both for agricultural production
and for other uses (biodiversity conservation, water quality etc.)
on a large scale. Landscape must be multifunctional and not devot-
edly solely to agriculture (Pinto-Correia and Breman, 2009). New
production methods like integrated, sustainable or organic agricul-
ture can resolve some problems (Malezieux et al., 2009; Woodcock
et al., 2007) but biodiversity management needs an understanding
of the interactions between agricultural techniques, landscape het-
erogeneity and species biology in order to define new management
systems and environmental evaluation procedures (Le Roux et al.,
2008).
The role of field margins in sustaining plant and animal commu-
nities is well-known (Boatman et al., 1994; Franck, 1997; McCollin
et al., 2000; Pywell et al., 2006). Several projects in ecology and
∗
Corresponding author. Tel.: +33 144081689; fax: +33 144081657.
E-mail address: agnes.lelievre@agroparistech.fr (A. Fargue-Lelièvre).
agronomy have studied the effect of field margins on crops or field
margin management on feral and wild plant populations within
and beyond the field concerned (Smith et al., 1999; Moonen and
Marshall, 2001; Marshall and Moonen, 2002); they show the impor-
tance of agricultural landscape for biodiversity and the role of field
margins (Asteraki et al., 2004; Le Coeur et al., 2002; Campagne
et al., 2009). However few articles have been published on the effect
of crop management on field margin flora (Kleijn, 1997; McCollin
et al., 2000; Lennartsson and Oostermeijer, 2001; Le Coeur et al.,
2002; Hovd and Skogen, 2005). These studies demonstrate that crop
succession is a key factor for the field margin flora.
Models of the effect of agricultural practices are common in
agronomy. Simple models of crop development under the influ-
ence of various cropping techniques are numerous and some are
well-known like CERES-Wheat (Richie and Otter, 1985) and STICS
(Brisson et al., 2003). Other models aim at evaluating the effects
of cropping techniques on weeds in the field. Sensitivity analyses
of these models enables the identification of sensitive stages and
effective techniques to limit weed development (Gonzalez-Andujar
and Fernandez-Quintanilla, 2004; Dicke et al., 2007). Others try to
model the effect of cropping techniques on both crop and weeds
interacting in the same field (Kropff et al., 2001; Aggarwal et al.,
2006). Agronomic models focus on what happens in the field,
0304-3800/$ – see front matter © 2010 Elsevier B.V. All rights reserved.
doi:10.1016/j.ecolmodel.2010.11.025