By distancing yourself, you can see the whole picture, and this in turn enables a degree of pattern recognition.
Literal
Separating [nominalizer-こと] [with-で] whole [subject-が] overlooked becomes, this-time [topic-は] it [with-で], certain-degree [possessive-の] pattern-recognition [subject-が] possible becomes [explanatory-のである].
Dense academic prose. 離れること (the act of distancing) + で (by means of) → 見渡せるようになり (becomes able to overlook) → それで (thereby) → パターン認識ができるようになる (becomes able to do pattern recognition). のである is the formal explanatory ending. Multiple ~ようになる (come to be able to) mark progressive capabilities.