Natural disturbances have always affected forest ecosystems, altering or disrupting the flows of goods and services provided by forests. In response, people have had to adapt their economic activities and decisions to take such hazards into account and to limit their consequences. In this paper, we conduct a survey on how economic analysis deals with such an issue, considering the different natural hazards affecting forests. Our database (described in and publicly available from Data in Brief website Montagné-Huck and Brunette (2018)) includes 340 papers collected from 1916 to 2014. This literature review allows synthesizing the existing knowledge, characterizing forest disturbances and identifying gaps in the literature.