rMaternII              package:spatstat              R Documentation

_S_i_m_u_l_a_t_e _M_a_t_e_r_n _M_o_d_e_l _I_I

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

     Generate a random point pattern using the Mat\'ern Model II
     inhibition process.

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

      rMaternII(lambda, r, win = owin(c(0,1),c(0,1)))

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

  lambda: Intensity of the Poisson process of proposal points. A single
          positive number. 

       r: Inhibition distance. 

     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 Model II
     inhibition process  inside the window `win'.

     The process is constructed by first generating a uniform Poisson
     point process of ``proposal'' points  with intensity `lambda'
     inside the window. Then each proposal point is marked by an
     ``arrival time'', a number uniformly distributed in [0,1]
     independently of other variables.

     A proposal point is deleted if it lies within `r' units' distance
     of another proposal point that has an earlier arrival time.
     Otherwise it is retained. The retained points constitute
     Mat\'ern's Model II.

     The difference between Mat\'ern's Model I and II is the italicised
     statement above. Model II has a higher intensity for the same
     parameter values.

_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', `rMatClust', `rMaternI'

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

      pp <- rMaternII(20, 0.05)

