From: Effects of reproductive resource allocation and pollen density on fertilization success in plants
Gamete production model | |
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R = Total resources used for gamete production, measured e.g. in units of energy | |
\(r_f\) = Resource investment for production of one ovule in the same units as R (f for female) | |
\(r_m\) = Resource investment for production of one pollen in the same units as R (m for male) | |
\(\alpha\) = Sexual allocation of resources to ovules as the proportion of R that is used to produce ovules (\(\alpha {\in }(0,1)\)). The remainder \((1{-}\alpha ){\cdot }R\) is used to produce pollen |
Outcome of the gamete production model | |
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F = Number of ovules produced | |
M = Number of pollen produced |
Ovule fertilization model | |
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h = Size of the pollen dispersal range expressed as the number of pollen-catching surfaces of an ovule that can be projected onto this range | |
w = Pollen retention as the proportion of the M pollen that remain within the pollen dispersal range | |
d = Pollen density wM/h within the pollen dispersal range |
Outcome of the ovule fertilization model | |
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E(P) = Expected proportion of fertilized ovules | |
\(E(F^*)\) = Expected number of fertilized ovules |