Publishing a review in a peer-reviewed Wiki vs a traditional journal?
Scholarpedia has adapted many of the processes of a peer-reviewed journal. However, it is still a kind of encyclopedia and not a research journal at all. Note that I'm not making any kind of judgment or evaluation in the previous sentence: the main page of the site reads
Welcome to Scholarpedia, the peer-reviewed open-access encyclopedia, where knowledge is curated by communities of experts.
So you seem to be asking: "Should I publish my paper in an encyclopedia rather than a research journal?" I think that's a kind of strange question: have you really written something which lies ambiguously between a research paper and an encyclopedia article?
The above is not a rhetorical question: please let us know!
It is also possible that I have fixated too much on "scholarpedia" and it is not the type wiki publication that you really intended. If so, please let us know. It would be helpful to give at least one specific example of the kind of "peer-reviewed wiki" you have in mind as a plausible alternative to a research journal.
Added: @MHH has helpfully clarified that the OP is probably talking about a review paper, or what in my field would be called a "survey paper". (The word "review" was also used at least twice in a different sense in the OP's question, and that was enough to confuse me.) I must begin by admitting that review/survey papers are rare in my field (mathematics), and that they would be written by PhD students is almost unprecedented. So I am almost at the point of wanting to delete my answer for lack of understanding and relevant expertise.
However, let me first try this: it seems to me that a review paper should be published in a research journal if it contains original research: i.e., some kind of synthesis, analysis, new perspectives, helpful simplifications, and so forth are being added. Of course "original research" is exactly what is not wanted in an encyclopedia article, although I don't see why this would necessarily be the case for all peer-reviewed wikis. So going more from general academic common sense than specific insight (i.e., caveat emptor), I would say that this should be the deciding factor between publishing a survey paper in a research journal or in a wiki. Let me further say that most or all of the advantages cited by publication in a wiki can be achieved by publishing in certain kinds of research journals: "free of charge publication, open access for all" certainly. Many electronic journals do not advertise hard "character limits", but of course there must be some kind of upper bound must exist, right? No one wants a 5000 page survey of the literature.
I think there is no definite answer at the moment since one can not judge now how scholarpedia will develop. At the present stage I think that the impact will be low and many colleagues may not know about scholarpedia. However, this may change in the future and the outcome will depend a lot on the quality of contributions. If you think that scholarpedia is a valuable resource, a good project and that you can contribute something, I'd say: Go ahead.
I also remember a quote by Gian-Carlo Rota: "You'll be better known for your expository work." I am not sure if this applies to everybody equally but it is a point.
What I find most interesting about wikis is that they are collaborative platforms with a public version history. This allows updates in addition to the "version of record" functionality of traditional publishing.
Scholarpedia has both, though if you are after Open Access in the sense of the Budapest definition (which allows reuse by anyone for any purpose), it is not there yet.
I am involved with a scheme in which the version of record (of review articles) is published classically in the journal, but in a way that allows the article to lead a second life as an updatable article on the English Wikipedia. Further details can be found here and here.