His method of detailed observations of common animals, insects and plants living in their natural habitats (rather than dead in cases) was quite revolutionary in its day, became popular in the scientific world at that time and almost certainly influenced indirectly Darwin's own studies. He even wrote a detailed study of earthworms, something Darwin did later famously, though there's no suggestion of direct influence.
It would not be a surprise if Austen became well acquainted with the works of a famous local "celebrity" as White as well.
What Darwin (and Wallace) did was provide an explanation of the mechanism that drove it.
When you can find enough resources to build expensive ornamentation in good times, you can probably survive hard times decently well, only your ornamentation will suffer.
But when you use all the resources that you can get for breeding as much as possible in good times, the population will probably collapse in bad times.