rMatClust              package:spatstat              R Documentation

_S_i_m_u_l_a_t_e _M_a_t_e_r_n _C_l_u_s_t_e_r _P_r_o_c_e_s_s

_D_e_s_c_r_i_p_t_i_o_n:

     Generate a random point pattern using the Mat\'ern Cluster
     Process.

_U_s_a_g_e:

      rMatClust(lambda, r, mu, win = owin(c(0,1),c(0,1)))

_A_r_g_u_m_e_n_t_s:

  lambda: Intensity of the Poisson process of cluster centres. A single
          positive number, a function, or a pixel image. 

       r: Radius parameter of the clusters. 

      mu: Mean number of points per cluster. 

     win: Window in which to simulate the pattern. An object of class
          '"owin"' or something acceptable to 'as.owin'. 

_D_e_t_a_i_l_s:

     This algorithm generates a realisation of Mat\'ern's cluster
     process inside the window 'win'. The process is constructed by
     first generating a Poisson point process of ``parent'' points 
     with intensity 'lambda'. Then each parent point is replaced by a
     random cluster of points, the number of points in each cluster
     being random with a Poisson ('mu') distribution, and the points
     being placed independently and uniformly inside a disc of radius
     'r' centred on the parent point.

     In this implementation, parent points are not restricted to lie in
     the window; the parent process is effectively the uniform Poisson
     process on the infinite plane.

_V_a_l_u_e:

     The simulated point pattern (an object of class '"ppp"').

_A_u_t_h_o_r(_s):

     Adrian Baddeley adrian@maths.uwa.edu.au <URL:
     http://www.maths.uwa.edu.au/~adrian/> and Rolf Turner
     rolf@math.unb.ca <URL: http://www.math.unb.ca/~rolf>

_S_e_e _A_l_s_o:

     'rpoispp', 'rNeymanScott'

_E_x_a_m_p_l_e_s:

      pp <- rMatClust(10, 0.05, 4)

