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

76 contrasting specialisation-stability relationships
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S = 0.3
0.0 0.5 1.0
0.0 0.5 1.0
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S = 1
0.0 0.5 1.0
0.0 0.5 1.0
P1/(P1+P2)
A1/(A1+A2)
Figure 4.3: Shapes of single domains of attraction. Each graph shows 2000
combinations of initial densities plotted as the proportional densities
of plant species 1 (
P1
P1+P2 ) and animal species 1 (
A1
A1+A2 )
relative to the total population of plants and animals, respectively.
Combinations of initial densities that led to the equilibrium
with coexistence of all four species are shown in black,
those that did not lead to the coexistence equilibrium are in grey.
At the coexistence equilibrium, the densities of both plant species
and both animal species were exactly equal, thus
P1
P1+P2 = 0.5
and
A1
A1+A2 = 0.5. The graphs show results for four degrees of
specialisation of mutualistic interactions (S). The degree of niche
overlap of the two plant species was fixed at γ ik = 0.5, the degree
of pollen carryover at B = 1. Note that this graph gives the
impression that more initial values were sampled near the coexistence
equilibrium, because a combination of two high plant
or animal population densities results in the same proportional
density of one species relative to the total as the combination of
two low absolute densities.
sarily the case: depending on the measure of stability applied,
different relationships between specialisation and stability of