We report initial experiments on evolving kernel functions which describe the average behaviour of a swarm of particles as if it was responding as a single point moving on a landscape transformed by the kernel. Such kernels may help explain swarm and population approaches leading to extended population systems, XPS. The swarm of particles are from a simple particle swarm optimiser solving one dimensional multi-modal 3 peaks and Rastrigin problems. The standard Java genetic programming implementation TinyGP is used.