as; with; due to; because of
Indicates that one change or event happens in conjunction with another, often used in formal or written contexts. Connects a cause or accompanying circumstance to a resulting change.
With the increase in population, the housing shortage is becoming more serious.
技術の進歩に伴い、私たちの生活は大きく変わった。
As technology has advanced, our lives have changed dramatically.
につれて is similar in meaning 'as' or 'with', but tends to be used for gradual, proportional changes, whereas に伴い can be used for more formal or consequential relationships.
Grammaticalized from the verb 伴う (ともなう, 'to accompany'), using the continuative form 伴い with the particle に.