The first item in the system requirements on the page that you have linked to clearly states that Visual Studio 2013 is required to use WDK 8.1:
Before you install WDK 8.1, you must first install Visual Studio 2013.
You will need to keep using WDK 8 with Visual Studio 2012, although it's not officially supported any more:
We provide Windows Driver Kit (WDK) 8 to give you time to migrate to WDK 8.1 and Visual Studio 2013. Microsoft does not support WDK 8 and will make no further updates to WDK 8. We recommend that you use the latest versions of the WDK and Visual Studio to build drivers for Windows. Download the Windows Driver Kit (WDK) 8, which has tools to build, test, debug, and deploy drivers.