[続「つづ」]ける => continues, to continue to N4
Secondary Verb
続ける => to continue; to keep up; to keep on. N4
に代わって => instead of; replacing; on behalf of ~ N3
代わりに => instead of; as a substitute for​; in exchange for; in return for N3
[代「か」]わり => Not A, but B, B in place of A, Instead of A, B; In exchange for A, B N3
Comparison, Exchange