What type of correlation (positive or negative) would you expect to see between the population densities or growth rates of each trophic level in this system (fi r/moose/wolves) under the primary productivity hypothesis?

Under the primary productivity hypothesis, which states that there is positive correlation between the growth rates of populations of each trophic level in a system, I would expect to see drastic increase in fir, moose and wolves because more precipitation and temperature would ensure more plants for herbivores to feed on; this will eventually provide food for carnivores as well.