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Table 1 Model parameters. Constraints between parameters are specified in the text

From: Effects of reproductive resource allocation and pollen density on fertilization success in plants

Gamete production model

 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

 F = Number of ovules produced

 M = Number of pollen produced

Ovule fertilization model

 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

 E(P) = Expected proportion of fertilized ovules

 \(E(F^*)\) = Expected number of fertilized ovules