Redirect of Desktop users from Mobile version

[sbook]

Hello,
My website mobile version has a good place in Google desktop serps and it gets 50% of desktop users. Stats of these users are poor comparing with mobile visitors.
I placed a link to desktop version in the top on mobile for everyone to see, but only 5% of desktop visitors are click on it.
How should i redirect all desktop users to their version to avoid Google penality?
As i understand Google bot is working as desktop user.

[aakk9999]

Ideally, you would have a canonical link element on the mobile version pages, pointing to the equivalent page on the desktop version, and desktop version would have rel alternate on each page which has got mobile page equivalent, pointing to that mobile page.

But I am wondering why did Google index your mobile version in preference to your desktop version. How different are the versions of each page (mobile/desktop) ? Where is your equivalent desktop page ranking for the same query (or is it filtered out?).

All in total, how many pages has mobile site comparing with desktop site?

I guess I am asking why is mobile site stronger when (usually) mobile pages have less content than equivalent desktop page.

[EditorialGuy]

This Google page has a section that may be helpful (See "Annotations for desktop and mobile URLs."):

[developers.google.com...]

[sbook]

My mobile version is a lot stronger and have x3 more pages than desktop. Content is similar, but different. WWW even have some Panda penalities and M doesn't.

My question was with another idea. Google Bot is working as desktop user and if i make automatic redirect for desktop visitors to go from mobile. Bot will not be able to reach my mobile pages? They could be deindexed? Or i am wrong?

I see from stats, that those desktopers which click on the link from mobile, they make good stats in www. So i want them all to go there automatically.

[aakk9999]

I know this does not answer your question, but if your mobile site is stronger, have you thought of turning your mobile version responsive?