Frugivory and seed dispersal: Extended bi-stable persistence and reduced clustering of plants
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作者:
Mohammed, M. M. A.
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Stellenbosch Univ, Dept Math Sci, Theoret Ecol Grp, ZA-7602 Matieland, South Africa
Al Neelain Univ, Fac Math Sci & Stat, Khartoum 1112, SudanStellenbosch Univ, Dept Math Sci, Theoret Ecol Grp, ZA-7602 Matieland, South Africa
Mohammed, M. M. A.
[1
,2
]
Landi, P.
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Stellenbosch Univ, Dept Math Sci, Theoret Ecol Grp, ZA-7602 Matieland, South AfricaStellenbosch Univ, Dept Math Sci, Theoret Ecol Grp, ZA-7602 Matieland, South Africa
Landi, P.
[1
]
Minoarivelo, H. O.
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Stellenbosch Univ, Dept Math Sci, Theoret Ecol Grp, ZA-7602 Matieland, South Africa
Univ Witwatersrand, Ctr Excellence Math & Stat Sci, ZA-2050 Gauteng, South AfricaStellenbosch Univ, Dept Math Sci, Theoret Ecol Grp, ZA-7602 Matieland, South Africa
Minoarivelo, H. O.
[1
,3
]
Hui, C.
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Stellenbosch Univ, Dept Math Sci, Theoret Ecol Grp, ZA-7602 Matieland, South Africa
African Inst Math Sci, Math Biosci Grp, ZA-7945 Cape Town, South AfricaStellenbosch Univ, Dept Math Sci, Theoret Ecol Grp, ZA-7602 Matieland, South Africa
Hui, C.
[1
,4
]
机构:
[1] Stellenbosch Univ, Dept Math Sci, Theoret Ecol Grp, ZA-7602 Matieland, South Africa
[2] Al Neelain Univ, Fac Math Sci & Stat, Khartoum 1112, Sudan
[3] Univ Witwatersrand, Ctr Excellence Math & Stat Sci, ZA-2050 Gauteng, South Africa
[4] African Inst Math Sci, Math Biosci Grp, ZA-7945 Cape Town, South Africa
Frugivores and fleshy-fruited plants commonly engage in the mutually beneficial interaction by dispersing seeds while consuming fruit pulps. Such mutualistic interactions can have profound impacts on the persistence and distributions of plant populations. Based on pair approximation, we here develop a process-based mechanistic model that captures the dynamics of the mean and local densities of plants and the density of animals. The model considers three components of frugivory: the strength of frugivore-plant mutualistic interaction, the efficiency of seed dispersers, and the germination probability of seeds. Results show that seed dispersal by animals is crucial to the extended persistence of plants by reducing the level of aggregation and thus local intraspecific competition. Importantly, frugivory can only be beneficial to the plants if the animal is an efficient seed disperser with limited risks/costs of dispersal plus adequate number of encounters. Otherwise, frugivory could become a main driver of plant extinction from seed predation by the animals. In conclusion, frugivorous seed dispersal could allow persistence of plants in habitats that otherwise require much higher levels of fecundity and dispersal rate to survive. Such extended persistence highlights the threshold phenomenon in plant conservation - extended persistence in environments that are difficult to restore once the plants have collapsed.