-(으)ㅁ에 따라

Use -(으)ㅁ에 따라 in formal writing to say that as one situation changes or progresses, another change follows from it.

격식 표현Formal & written phrases

Han: For ㄹ-stem verbs, ㅁ is added directly under ㄹ without 으: 줄어들다 → 줄어듦, not 줄어들음.

Examples

날씨가 추워짐에 따라 감기 환자가 늘어나고 있습니다.As the weather gets colder, the number of people with colds is increasing.

기술이 발전함에 따라 우리의 생활 방식도 많이 달라졌다.As technology has developed, our way of life has also changed a lot.

인구가 고령화됨에 따라 의료비 지출이 크게 늘고 있다.As the population ages, medical spending is rising sharply.

1인 가구가 증가함에 따라 소형 아파트에 대한 수요가 높아졌다.As single-person households have increased, demand for small apartments has grown.

-(으)ㅁ에 따라vsN에 따라N에 따라 attaches to a noun and means 'depending on N' (variation), not 'as something progresses': 사람에 따라 생각이 다르다.

V/A+(으)ㅁ에 따라 (consonant stem + 음, vowel stem + ㅁ, ㄹ-stem: ㄹ is kept and ㅁ is added under it)

증가하다 → 증가함에 따라, 줄어들다 → 줄어듦에 따라, 높아지다 → 높아짐에 따라

It belongs to formal, written style (news, reports, essays). In everyday conversation Koreans usually say -(으)면서 instead.
The first clause usually describes a change or process (증가하다, 발전하다, -아/어지다). A fixed, unchanging state sounds unnatural before it.
With ㄹ-stems the ㄹ stays and ㅁ is added under it: 줄어들다 → 줄어듦, 만들다 → 만듦 (not 줄어들음).
Tense is normally marked only in the final clause (발전함에 따라 … 달라졌다). -았/었음에 따라 appears mainly in official notices about a completed decision.

Wrong: ~~학생 수가 줄어들음에 따라 문을 닫는 학교가 많아지고 있다.~~

Right: 학생 수가 줄어듦에 따라 문을 닫는 학교가 많아지고 있다.

For ㄹ-stem verbs, ㅁ is added directly under ㄹ without 으: 줄어들다 → 줄어듦, not 줄어들음.

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