Resource-dependent branching process

Okay kiddo, so you know how sometimes things grow and spread out, like when you plant a seed and a big plant grows from it?

Well, sometimes those things have to depend on resources to grow. Resources are things like water, sunlight, soil, and nutrients. If they don't have enough of these things, they can't grow as much as they could with more resources.

So a resource-dependent branching process is when you have something that grows and spreads out, but it needs resources to do it. Every time it grows out into a new branch, it needs more resources to keep growing.

For example, let's say you have a tree. When the tree is small, it doesn't need very many resources to keep growing because there isn't as much tree to support. But as the tree gets bigger and starts branching out, it needs more resources to support all the branches.

Now, let's say that every few years, the tree has a bunch of seeds that grow into new trees. These new trees also need resources to grow and branch out, just like the original tree did. And if there aren't enough resources to go around, some of the new trees might not grow as big or as fast as they could with more resources.

So a resource-dependent branching process is kind of like a big family tree, where every new generation needs more resources than the last generation to keep growing and branching out. And if there aren't enough resources to go around, some of the branches might not be as strong or as healthy as they could be.