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Linking Specialisation and Stability of Plant ... - OPUS Würzburg

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4.5 discussion 81<br />

termine the range <strong>of</strong> starting conditions <strong>and</strong> the appropriate<br />

time scale.<br />

Although the model used in this study contains a fair amount<br />

<strong>of</strong> mechanistic detail, it still makes a number <strong>of</strong> simplifying assumptions<br />

that may impact the results <strong>of</strong> our analyses. In the<br />

following, we discuss potential caveats <strong>and</strong> limitations <strong>of</strong> our<br />

modelling approach, <strong>and</strong> suggest directions for future research.<br />

First, the results presented in this paper to some degree depend<br />

on the choice <strong>of</strong> parameter values for numerical simulations,<br />

specifically on the assumption <strong>of</strong> an equal number <strong>of</strong> plant <strong>and</strong><br />

animal individuals in the system at equilibrium. Choosing a<br />

lower animal-plant ratio results in a narrower range <strong>of</strong> specialisation<br />

<strong>and</strong> niche overlap values allowing qualitative stability <strong>of</strong><br />

the coexistence equilibrium, while a higher animal-plant ratio<br />

extends that region (see Benadi et al., 2012b). However, a different<br />

animal-plant ratio does not qualitatively affect the patterns<br />

presented in this study for the region allowing stable coexistence.<br />

As discussed in Benadi et al. (2012b), the few available<br />

empirical studies indicate that the amount <strong>of</strong> floral resources<br />

needed to sustain one animal varies widely, but at least for pollination<br />

mutualisms it seems that the ratio <strong>of</strong> animal to plant<br />

individuals is usually below one. On related terms, the choice<br />

<strong>of</strong> equal competition coefficients for both plant species, constant<br />

sums <strong>of</strong> trait matching values for all mutualistic interactions<br />

<strong>and</strong> equal values for all other parameters in this study<br />

was made in order to concentrate on the effects <strong>of</strong> communitywide<br />

specialisation. Since real mutualistic systems always deviate<br />

from the perfect symmetry assumed in this study, future<br />

work should explore the consequences <strong>of</strong> asymmetric interaction<br />

strengths <strong>and</strong> demographic parameters. For example, it<br />

would be interesting to study the consequences <strong>of</strong> a trade-<strong>of</strong>f<br />

in plant competitive ability with respect to abiotic resources<br />

<strong>and</strong> attractiveness towards pollinators. Furthermore, future research<br />

should target larger mutualistic communities containing<br />

a mixture <strong>of</strong> various degrees <strong>of</strong> specialisation, <strong>and</strong> elucidate the<br />

effect <strong>of</strong> different distributions <strong>of</strong> specialisation levels on community<br />

stability. Some attempts in this direction have already<br />

been made (see e.g. Okuyama & Holl<strong>and</strong>, 2008; Bastolla et al.,<br />

2009), but much remains to be understood.<br />

The current study is to some extent a theoretical exercise<br />

whose predictions are difficult to test in the field. Its main<br />

result, the finding that no single relationship between specialisation<br />

<strong>and</strong> stability <strong>of</strong> mutualistic systems exists, is bad news<br />

for conservationists <strong>and</strong> managers in search <strong>of</strong> rules <strong>of</strong> thumb<br />

for assessing the fragility <strong>of</strong> ecological systems. In order to

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