“…Time series of egg mass counts were not continuous for some streams, but state‐space models that underlie MPVA (see below) allow for the use of incomplete time series by inferring the abundance of egg masses during years without surveys. Egg mass surveys came from a variety of sources, including long‐term studies of the ecology of R. boylii (e.g., Kupferberg et al, 2012; Wheeler & Welsh, 2008), monitoring programs for populations affected by dams (e.g., Pacific Gas and Electric Company, 2020; Snover & Adams, 2016), and focused studies on the effects of environmental conditions on breeding (e.g., Gonsolin, 2010; Lind et al, 1996; van Hattem et al, 2021; Wheeler et al, 2015). We treated reaches of the same stream as a single population if they were directly connected without any barrier (e.g., a dam, lake, or reservoir) between the reaches and were surveyed using the same methods by the same research group.…”