The key papers describing the method
1. Pollard, E. (1977). A method for assessing changes in the abundance of butterflies. Biological conservation, 12(2), 115-134.
2. Pollard, E, and TJ Yates. 1993. Monitoring Butterflies for Ecology and Conservation. Chapman & Hall, London, UK.
On the appropriateness of the Pollard index for determining population size
Haddad, N. M., Hudgens, B., Damiani, C., Gross, K., Kuefler, D., & Pollock, K. (2008). Determining optimal population monitoring for rare butterflies. Conservation Biology, 22(4), 929-940.
Examples of the use of the method for assessing decades-long trends in butterfly abundance
Wepprich, T., Adrion, J. R., Ries, L., Wiedmann, J., & Haddad, N. M. (2019). Butterfly abundance declines over 20 years of systematic monitoring in Ohio, USA. PLoS One, 14(7), e0216270.
On why butterflies are strong indicators for other insects globally
Van Klink, R., Bowler, D. E., Gongalsky, K. B., Swengel, A. B., Gentile, A., & Chase, J. M. (2020). Meta-analysis reveals declines in terrestrial but increases in freshwater insect abundances. Science 368:417-420.