Bayesian inference for a random tessellation process

被引：10

作者：

Blackwell, PG ^{[1
]}

机构：

[1] Univ Sheffield, Dept Probabil & Stat, Sheffield S3 7RH, S Yorkshire, England

来源：

BIOMETRICS | 2001年 / 57卷 / 02期

关键词：

animal territories; Cox process; inhomogeneous Poisson process; Markov chain Monte Carlo; Metropolis-Hastings algorithm; polygon decomposition; tessellation reconstruction; Thiessen polygon; Voronoi tessellation;

D O I：

10.1111/j.0006-341X.2001.00502.x

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This article describes an inhomogeneous Poisson point process in the plane with an intensity function based on a Dirichlet tessellation process and a method for using observations on the point process to make fully Bayesian inferences about the underlying tessellation. The method is implemented using a Markov chain Monte Carlo approach. An application to modeling the territories of clans of badgers, Meles meles, is described.

引用

页码：502 / 507

页数：6

共 12 条

[1] Shapes and sizes of badger territories [J].

Blackwell, PG ;

Macdonald, DE .

OIKOS, 2000, 89 (02) :392-398

[2] ANALYZING SHAPES OF FORAGING AREAS - SOME ECOLOGICAL AND ECONOMIC-THEORIES [J].

Covich, AP .

ANNUAL REVIEW OF ECOLOGY AND SYSTEMATICS, 1976, 7 :235-257

[3] DEN SITE CAN DETERMINE SHAPE AND SIZE OF BADGER TERRITORIES - IMPLICATIONS FOR GROUP-LIVING [J].

DONCASTER, CP ;

WOODROFFE, R .

OIKOS, 1993, 66 (01) :88-93

[4]

GLEMAN A, 1996, BAYESIAN STAT, V5, P599

[5]

Johnson WA, 1939, T AM I MIN MET ENG, V135, P416

[6]

KRUUK H, 1978, J ZOOL, V184, P1

[7] 2 ALGORITHMS FOR CONSTRUCTING A DELAUNAY TRIANGULATION [J].

LEE, DT ;

SCHACHTER, BJ .

INTERNATIONAL JOURNAL OF COMPUTER & INFORMATION SCIENCES, 1980, 9 (03) :219-242

[8]

MYLES JP, 1994, 42494 U SHEFF

[9]

SMITH AFM, 1993, J ROY STAT SOC B MET, V55, P3

[10]

Stoyan D., 1987, Stochastic geometry and its applications

← 1 2 →