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I'll answer for Europe + America, both because that's the simple way to find the data needed, and because that's the reliable data. In a sense, it's also the fair comparison, because you're comparing the markets that have stayed the same, and ignoring both the expanding markets (rest of the world) and the contracting market (Japan).

With Europe + America, the answer is very simple.  The Wii will definitely overtake the Ps4 in both.

Here are the amount the two had sold after certain increments of time, in the USA.

 Note: For both, 11 months is 1 week short of 11 months. Oh, yes, and all numbers are in thousands in all the tables.

3 months 6 months 9 months 11 months 12 months 15 months 18 months 21 months 24 months
Playstation 4 2514 3249 3917 4633
Wii 1622 2677 3825 4784 5555 8109 9967 11863 13995

 

This might be a bit tricky to read, so to help, here's the data for how much they'd sold per month between those points, still in USA alone.

3 months 6 months 9 months 11 months 12 months 15 months 18 months 21 months 24 months
Playstation 4 838 245 222,6667 358
Wii 540,6667 351,6667 382,6667 479,5 771 851,3333 619,3333 632 710,6667

 

 It's easy to see here that the Wii is selling substantially more than the Ps4 is after month 3. Couple this with the extreme growth in sales the Wii has for its second year, and it's obvious the Ps4 won't match it.

 

 For Europe, it's similar, but the difference is much smaller. First the data for total sold at the same points in time

3 months 6 months 9 months 11 months 12 months 15 months 18 months 21 months 24 months
Playstation 4 2110 2870 3697 4588
Wii 1250 2091 3115 3902 4784 6725 8396 9980 12450

And then the per month data.

3 months 6 months 9 months 11 months 12 months 15 months 18 months 21 months 24 months
Playstation 4 703,3333 253,3333 275,6667 445,5
Wii 416,6667 280,3333 341,3333 393,5 882 647 557 528 823,3333

 

 The Ps4 actually sold more in month 10 and 11 than the Wii did. This is largely a significant bump due to big releases, and they'd need to be significantly higher than those again to match the Wii's 15-18 and 18-21.

 

If we add them together, we get the following 2. Combined

Europe + USA
3 months 6 months 9 months 11 months 12 months 15 months 18 months 21 months 24 months
Playstation 4 4624 6119 7614 9221
Wii 2872 4768 6940 8686 10339 14834 18363 21843 26445

And monthly

3 months 6 months 9 months 11 months 12 months 15 months 18 months 21 months 24 months
Playstation 4 1541,333 498,3333 498,3333 803,5
Wii 957,3333 632 724 873 1653 1498,333 1176,333 1160 1534

 

 Obviously, it's worth mentioning that we're here comparing slightly different time periods (both machines had slightly staggered launches), so I'll point out that the Wii launched 8th December in Europe, while the Ps4 launched 29th of November (the NA launches are 15th and 19th November, so they're the same for all intents and purposes).

 

The point with all tese tables is to illustrate that the Ps4 is already trailing behind the Wii in monthly sales, and the Wii had an incredible increase in sales in its second year. There is simply no way that Ps4 can manage anything even near it. The Wii will definitely overtake the Ps4 in Europe + America, launches aligned.