Let be a real-valued, homogeneous, and isotropic random field indexed in . When restricted to thsoe indices with , the Euclidean length of equal to r (a positive constant), then the random field resides on the surface of a sphere of radius r. Using a modified stratified spherical sampling plan on the sphere, define to be a realization of the random process and to be the cardinality of . A bootstrap algorithm is presented and conditions for strong uniform consistency of the bootstrap cumulative distribution function of the standardized sample mean, are given. The paper illustrates the bootstrap algorithm with global land-area data.
