For air travel within Peru, it is only necessary to carry their Identity Document Card (DNI for its acronym in spanish "Documento Nacional de Identidad")
If you are a passenger of legal age in case of loss or theft, according to the DGAC the DGAC regulations, you can pass your security checks at the airport with an security controls at the airport with an expired ID card, driver's license, passport or RENIEC driver's license, passport or the RENIEC Registration Card (C4), original and current.
A minor passenger in case of loss or theft, according to the DGAC regulations, may pass its the DGAC regulations, may pass their security checks at the airport with an expired security controls at the airport with an expired ID card, passport or the RENIEC RENIEC Registration Card (C4), original and current. It's also valid to travel presenting the birth certificate, original and current.
The mentioned statements apply ONLY to Peruvians.