We investigate expansions for connectedness functions in the random connection model of continuum percolation powers intensity. Precisely, we study pair-connectedness and direct-connectedness functions, related to each other via Ornstein-Zernike equation. exhibit fact that coefficients consist sums over connected $2$-connected graphs. In physics literature, this is known be case more generally ...

Facilitation, an ecological interaction assembling plant communities worldwide, has been shown to modulate both species richness and ecosystem functions. Such a biodiversity–ecosystem functioning (BEF) relationship can be decomposed into different components not only related losses gains but also the identity of context in which they live. Using extension classical BEF approach named CAFE (comm...