I live in the Los Angeles area. My deciduous trees have long fine webs in the branches. The webs appear to be single strands for the most part, sometimes looking slightly more complex in the crooks of branches, or near bud clusters. I did also notice them on a new bougainvillea I planted. It was eaten down to the stems (not sure if related or not). I see no insects, and this is not a new issue.

There are also some egg clusters suspended on a few webs, sometimes single eggs, other times up to 1 dozen or so small white eggs

Aside from the bougainvillea, i don't see any severe insect damage. Any ideas would be very helpful. Thanks!