The Daisyworld model was originally introduced by Watson and Lovelock in 1983 in order to describe the mechanism of climate homeostasis. Their model which is of zero-dimensional one was then extended to a one-dimensional model by Adams, Carr, Lenton and White. They showed that the interactions between white and black daisies and climate give rise to segregation patterns of daisies and suggested existence of some potential link between the homeostatic feedback mechanism and the characters of spatial patterns. In this paper, we want to investigate further how such interactions create these segregation patterns and what kinds of patterns are formed by using a two-dimensional model. Our results seem to back up Adams, Carr, Lenton and White’s insight significantly.