A Comparison of Five Distance-Based Methods for Spatial Pattern Analysis Export

@article{citeulike:6090806, abstract = {The behaviour of five statistics (extensions of Pielou's, Clark and Evans', Pollard's, Johnson \& Zimmer's, and Eberhardt's statistics, which are denoted as P_i, C_e, P_o, J_z and E_b respectively) that involve the distance from a random point to its jth nearest neighbour were examined against several alternative patterns (lattice-based regular, inhomogeneous random, and Poisson cluster patterns) through Monte Carlo simulation to test their powers to detect patterns. The powers of all the five statistics increase as distance order j increases against inhomogeneous random pattern. They decrease for P_i and C_e and increase for P_o, J_z, and E_b against regular and Poisson cluster patterns. P_o, J_z and E_b can reach high powers with the third or higher order distances in most cases. However, P_o is recommended because no extra information is needed, it can reach a high power with the second or third distance even though the sample size is not large in most cases, and the test can be performed with an approximate χ² distribution associated with it. When a regular pattern is expected, J_z is recommended because it is more sensitive to lattice-based regular pattern than P_o and E_b, especially for the first distance. However, simulation tests should be used because the speed of convergence of J_z to normal distribution is very slow.}, author = {Liu, Canran}, citeulike-article-id = {6090806}, citeulike-linkout-0 = {http://dx.doi.org/10.2307/3236855}, citeulike-linkout-1 = {http://www.jstor.org/stable/3236855}, doi = {10.2307/3236855}, issn = {11009233}, journal = {Journal of Vegetation Science}, keywords = {distance\_sampling, monte\_carlo\_simulation, nearest\_neighbor, randomness, statistic}, number = {3}, pages = {411--416}, posted-at = {2009-11-09 22:17:40}, priority = {2}, publisher = {Blackwell Publishing}, title = {A Comparison of Five Distance-Based Methods for Spatial Pattern Analysis}, url = {http://dx.doi.org/10.2307/3236855}, volume = {12}, year = {2001} }

TY - JOUR ID - citeulike:6090806 L3 - citeulike-article-id:6090806 N2 - The behaviour of five statistics (extensions of Pielou's, Clark and Evans', Pollard's, Johnson & Zimmer's, and Eberhardt's statistics, which are denoted as P_i, C_e, P_o, J_z and E_b respectively) that involve the distance from a random point to its jth nearest neighbour were examined against several alternative patterns (lattice-based regular, inhomogeneous random, and Poisson cluster patterns) through Monte Carlo simulation to test their powers to detect patterns. The powers of all the five statistics increase as distance order j increases against inhomogeneous random pattern. They decrease for P_i and C_e and increase for P_o, J_z, and E_b against regular and Poisson cluster patterns. P_o, J_z and E_b can reach high powers with the third or higher order distances in most cases. However, P_o is recommended because no extra information is needed, it can reach a high power with the second or third distance even though the sample size is not large in most cases, and the test can be performed with an approximate χ² distribution associated with it. When a regular pattern is expected, J_z is recommended because it is more sensitive to lattice-based regular pattern than P_o and E_b, especially for the first distance. However, simulation tests should be used because the speed of convergence of J_z to normal distribution is very slow. IS - 3 JF - Journal of Vegetation Science SN - 11009233 EP - 416 TI - A Comparison of Five Distance-Based Methods for Spatial Pattern Analysis PB - Blackwell Publishing VL - 12 SP - 411 KW - distance_sampling KW - monte_carlo_simulation KW - nearest_neighbor KW - randomness KW - statistic AU - Liu, Canran PY - 2001/// UR - http://dx.doi.org/10.2307/3236855 ER -