Admixture: A detectable genetic signature of mixed ancestry from one or more distinct lineages. It is a pattern that can be detected. It is possible for two populations to appear admixed even if they have not exchanged genetic material.
Introgression: The exchange of alleles from one or more distinct lineages into another. It is a process that occurs in time. We rarely observe introgression, and therefore we aim to reconstruct introgression events in the past.
hybridization: Successful reproduction between individuals from two distinct lingeages. We often observe hybridization among extant individuals, but further investigation is necessary to determine whether hybridization (e.g., F1s) result in introgression of alleles between lineages.
Methods for detecting admixture within and between populations typically rely on the assumption that existing variation in populations is a result of the sorting of ancestral standing variation in the ancestor of those populations. Therefore it does not account for de novo mutations. Examples include STRUCTURE and TREEMIX.
http://nbviewer.jupyter.org/github/dereneaton/ipyrad/blob/master/tests/workshop-abba-baba.ipynb
http://nbviewer.jupyter.org/github/dereneaton/ipyrad/blob/master/tests/phylogenetic_invariants.ipynb