Ecological Archives A017-085-A3

Martin Hoyle, Katrina Hayter, and James E. Cresswell. 2007. Effect of pollinator abundance on self-fertilization and gene flow: application to GM canola. Ecological Applications 17:2123–2135.

Appendix C. Cross-pollination rate for n pollinators.

By analogy with Eq. 12, in the general case of i = 1…N pollinators, all of which contribute to cross-pollination, the cross-pollination rate due to the pollinators is

,
(C.1)

where the variables have the same meaning as before, but for pollinator i. Again considering two cases;

 

(a) if not all ovules are fertilized by autonomous self-pollination, by the wind or by mechanical contact, i.e., if fert > T, then by analogy with Eq 8a;

(C.2)

and pi is given as in Eq. 8b, but replacing b with i and h with .
(b) if fert < T, then by analogy,pi is given as in Eq. 9, but again replacingb with i and hwith .
            The cross-pollination rate due to the wind is given by Eq. 17 in the main text.


(a) if fert > T, then by analogy with Eqs. 14 and 15 in the main text;

(C.3)


(b) if fert< T, then by analogy with Eq. 16

.
(C.4)

 



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