Is most forest land under a clear ownership title, so that (theoretically) it is possible to point to any part of the country’s forested land and establish clear ownership of that area?
Lands available for titling are still under a process of physical-legal review clearing the property (Art. 70 and 88 of the Political Constitution of Peru). This includes the lands of Native and Peasant Communities, as well as rural properties occupied by settlers. According to Article 66 of the Political Constitution of Peru and in the Constitutional Law for the Sustainable Use of Natural Resources Use, forest lands cannot be sold.
Source
The Body for the Formalisation of Informal Property - COFOPRI, which is a decentralised public body within the Housing Sector, is in charge of designing and implement the programme of formalisation of the property at national level.
COFOPRI carries out the survey, modernisation, consolidation, conservation and update of the national property registry resulting from this formalisation. The functions of COFOPRI are currently being transferred to Regional Governments; http://www.cofopri.gob.pe/quienes.asp?i=7
