Nonparametric estimation of plant density by the distance method
Biometrics
By: S.A. Patil, K.P. Burnham, and J.L. Kovner
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Abstract
A relation between the plant density and the probability density function of the nearest neighbor distance (squared) from a random point is established under fairly broad conditions. Based upon this relationship, a nonparametric estimator for the plant density is developed and presented in terms of order statistics. Consistency and asymptotic normality of the estimator are discussed. An interval estimator for the density is obtained. The modifications of this estimator and its variance are given when the distribution is truncated. Simulation results are presented for regular, random and aggregated populations to illustrate the nonparametric estimator and its variance. A numerical example from field data is given. Merits and deficiencies of the estimator are discussed with regard to its robustness and variance.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Nonparametric estimation of plant density by the distance method |
| Series title | Biometrics |
| DOI | 10.2307/2530250 |
| Volume | 35 |
| Issue | 3 |
| Year Published | 1979 |
| Language | English |
| Publisher | International Biometric Society |
| Publisher location | Washington, D.C. |
| Description | 8 p. |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Biometrics |
| First page | 597 |
| Last page | 604 |
| Google Analytic Metrics | Metrics page |