In trees we do controlled pollination in a Diallel mating design to produce F1's and observe the characters of progeny. Can we consider the pod and seed produced after controlled pollination as F1's and include in analysis.
It may depend on flower structure. I am presenting two situation.
1. Making crosses in rice involves chopping off of of lemma and palea to expose anthers. This result in naked seed that has to withstand unusual nourturing environment during development. And hence various aspects of f1 seed may not be a true genotypic reflection say length and width of seed.
2. Making crosses in maize is not destructive as in case of rice particularly to female flower or cob. Here, seed develop during quite normal gestation environment. And various seed traits are true genotypic reflection. Eg. Endosperm colour, genia effect etc.
if Plant A x Plant B, and get seeds, these seeds should be F1 seeds. But, make sure that they are truely derived from an intercrossed fertilization, not self-crosssed results.
yes, surely you can assume that. In addition, inclusion of pod and seed traits is interesting for maternal, paternal, and reciprocal cross effects's studies (in case you did full-sib crosses)
Seed traits produced after controlled crossing in diallel mating can be very correctly considered as F1. However, F1 Plants will produce F1 Pods but F2 Seeds. All the seed traits of the seeds produced on F1 plants after controlled crossing in diallel mating can not be considered as F1.