Table 2.

The non-trivial fixed points and their stabilities for all eight regions from Fig. 4 are shown here

Region	Tree-only fixed point	Grass-only fixed point	Coexistence fixed points
I	$\circ$ stable	-	-
II	$\circ$ Stable	Saddle	–
III	Saddle	Saddle	$\circ$ Stable
IV	$\circ$ Stable	$\circ$ Stable	Saddle
V	$\circ$ Stable	Saddle	$\circ$ Stable, saddle
VI	Saddle	Saddle	$\circ$Stable, $\circ$ Stable, saddle
VII	Saddle	$\circ$ Stable	$\circ$ Stable, saddle
VIII	Saddle	$\circ$ stable	–

There are three types of fixed points: tree-only (forest) at (0, 1), grass-only (grassland) at $(x_g,0)$ where $x_g$ is determined as in (6), and coexistence (savanna) fixed points with non-trivial values of both x and y. The coexistence values can range greatly in x and y and are examined further in the discussion. Additionally, this table shows there are four different types of bistability in this model (regions and bistable points are in bold): forest–grassland (region IV), forest–savanna (region V), savanna–savanna (region VI), and grassland–savanna (region VII)