메뉴 건너뛰기




Volumn 51, Issue 3, 2006, Pages 1698-1718

The analysis of marked point patterns evolving through space and time

Author keywords

Area interaction; Disc interaction; Growth interaction process; Least squares estimation; Linear growth; Logistic growth; Robustness; Space time processes; Swedish pine data

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; RANDOM PROCESSES; ROBUSTNESS (CONTROL SYSTEMS);

EID: 33750700787     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.07.008     Document Type: Article
Times cited : (36)

References (63)
  • 2
    • 28344449679 scopus 로고
    • Bayesian image restoration, with two applications in spatial statistics (with discussion)
    • Besag J., York J.C., and Mollié A. Bayesian image restoration, with two applications in spatial statistics (with discussion). An. Inst. Statist. Math. 43 (1991) 1-59
    • (1991) An. Inst. Statist. Math. , vol.43 , pp. 1-59
    • Besag, J.1    York, J.C.2    Mollié, A.3
  • 3
    • 0000609554 scopus 로고
    • Some ecological consequences of a computer model of forest growth
    • Botkin D.B., Janak J.F., and Wallis J.R. Some ecological consequences of a computer model of forest growth. J. Ecol. 60 (1972) 849-873
    • (1972) J. Ecol. , vol.60 , pp. 849-873
    • Botkin, D.B.1    Janak, J.F.2    Wallis, J.R.3
  • 4
    • 0035649290 scopus 로고    scopus 로고
    • Spatio-temporal prediction for log-Gaussian Cox processes
    • Brix A., and Diggle P.J. Spatio-temporal prediction for log-Gaussian Cox processes. J. Roy. Statist. Soc. B 63 (2001) 823-841
    • (2001) J. Roy. Statist. Soc. B , vol.63 , pp. 823-841
    • Brix, A.1    Diggle, P.J.2
  • 5
    • 0035457521 scopus 로고    scopus 로고
    • Space-time multi-type log Gaussian Cox processes with a view to modelling weed data
    • Brix A., and Møller J. Space-time multi-type log Gaussian Cox processes with a view to modelling weed data. Scand. J. Statist. 28 (2001) 471-488
    • (2001) Scand. J. Statist. , vol.28 , pp. 471-488
    • Brix, A.1    Møller, J.2
  • 8
    • 33750695493 scopus 로고    scopus 로고
    • Comas, C., 2005. Modelling forest dynamics through the development of spatial and temporal marked point processes. Ph.D. Thesis, University of Strathclyde.
  • 10
    • 33750718659 scopus 로고    scopus 로고
    • Fenton, S.E., Clough, H.E., Diggle, P.J., French, N.P., 2004. An investigation of the effect of under-reporting of disease cases on the space-time K-function. In: Baddeley, A., Gregori, P., Mateu, J., Stoica, R., Stoyan, D. (Eds.). Proceedings of the Conference on Spatial Point Process Modelling and its Applications: Collecció treballs d'informática i tecnologia Núm. 20.
  • 11
    • 0001423967 scopus 로고
    • Competition for light in a plant monoculture modelled as a spatial stochastic process
    • Ford E.D., and Diggle P.J. Competition for light in a plant monoculture modelled as a spatial stochastic process. Ann. Bot. 48 (1981) 481-500
    • (1981) Ann. Bot. , vol.48 , pp. 481-500
    • Ford, E.D.1    Diggle, P.J.2
  • 13
    • 0029541151 scopus 로고
    • The use of marked point processes in ecological and environmental forest studies
    • Gavrikov V., and Stoyan D. The use of marked point processes in ecological and environmental forest studies. Environ. Ecol. Statist. 50 (1995) 331-344
    • (1995) Environ. Ecol. Statist. , vol.50 , pp. 331-344
    • Gavrikov, V.1    Stoyan, D.2
  • 14
    • 33750729421 scopus 로고    scopus 로고
    • Gerrard, D.J., 1969. Competition quotient-a new measure of competition affecting individual forest trees. Michigan State University Agricultural Experimental Station Research Bulletin 20.
  • 15
    • 0031780720 scopus 로고    scopus 로고
    • Estimating parameters in stochastic compartmental models using Markov chain methods
    • Gibson G.J., and Renshaw E. Estimating parameters in stochastic compartmental models using Markov chain methods. IMA J. Math. Appl. Med. Biol. 15 (1998) 19-40
    • (1998) IMA J. Math. Appl. Med. Biol. , vol.15 , pp. 19-40
    • Gibson, G.J.1    Renshaw, E.2
  • 16
    • 0035365423 scopus 로고    scopus 로고
    • Inference for immigration-death processes with single and paired immigrants
    • Gibson G.J., and Renshaw E. Inference for immigration-death processes with single and paired immigrants. Inverse Problems 17 (2001) 455-466
    • (2001) Inverse Problems , vol.17 , pp. 455-466
    • Gibson, G.J.1    Renshaw, E.2
  • 17
    • 26944436286 scopus 로고    scopus 로고
    • The evolution of a batch-immigration death process subject to counts
    • Gillespie C., and Renshaw E. The evolution of a batch-immigration death process subject to counts. Proc. Roy. Soc. London A 461 (2005) 1563-1581
    • (2005) Proc. Roy. Soc. London A , vol.461 , pp. 1563-1581
    • Gillespie, C.1    Renshaw, E.2
  • 18
    • 33750692170 scopus 로고    scopus 로고
    • Gillespie, C., Renshaw, E., 2006. The evolution of a single-paired immigration death process. J. Appl. Probab., submitted for publication.
  • 19
    • 33750702708 scopus 로고    scopus 로고
    • Goodall, C., Mardia, K.V., 1994. Challenges in multi-variate spatio-temporal modelling. Proceedings of the XVIIth International Biometric Conference, Hamilton, Canada.
  • 20
    • 0035013277 scopus 로고    scopus 로고
    • Bayesian spatiotemporal inference in functional magnetic resonance imaging
    • Gössl C., Auer D.P., and Fahrmeir L. Bayesian spatiotemporal inference in functional magnetic resonance imaging. Biometrics 57 (2001) 554-562
    • (2001) Biometrics , vol.57 , pp. 554-562
    • Gössl, C.1    Auer, D.P.2    Fahrmeir, L.3
  • 21
    • 0028590677 scopus 로고
    • A space-time analysis of ground-level ozone data
    • Guttorp P., Meiring W., and Sampson P.D. A space-time analysis of ground-level ozone data. Environmetrics 5 (1994) 241-254
    • (1994) Environmetrics , vol.5 , pp. 241-254
    • Guttorp, P.1    Meiring, W.2    Sampson, P.D.3
  • 22
    • 84988298069 scopus 로고    scopus 로고
    • Characterization results and Markov chain Monte Carlo algorithms including exact simulation for some spatial point processes
    • Häggström O., van Lieshout M.N.M., and Møller J. Characterization results and Markov chain Monte Carlo algorithms including exact simulation for some spatial point processes. Bernoulli 5 (1999) 641-658
    • (1999) Bernoulli , vol.5 , pp. 641-658
    • Häggström, O.1    van Lieshout, M.N.M.2    Møller, J.3
  • 23
    • 21844483735 scopus 로고
    • The evolution and measurement of a population of pairs
    • Jakeman E., Phayre S., and Renshaw E. The evolution and measurement of a population of pairs. J. Appl. Probab. 32 (1995) 1048-1062
    • (1995) J. Appl. Probab. , vol.32 , pp. 1048-1062
    • Jakeman, E.1    Phayre, S.2    Renshaw, E.3
  • 24
  • 25
    • 0000039489 scopus 로고    scopus 로고
    • Models for continuous stationary space-time processes
    • Gregoire T.G., Brillinger D.R., Diggle P.J., Russek-Cohen E., Warren W.G., and Wolfinger R.D. (Eds), Springer, New York
    • Jones R.H., and Zhang Y. Models for continuous stationary space-time processes. In: Gregoire T.G., Brillinger D.R., Diggle P.J., Russek-Cohen E., Warren W.G., and Wolfinger R.D. (Eds). Modelling Longitudinal and Spatially Correlated Data (1997), Springer, New York 289-298
    • (1997) Modelling Longitudinal and Spatially Correlated Data , pp. 289-298
    • Jones, R.H.1    Zhang, Y.2
  • 26
    • 0141684911 scopus 로고    scopus 로고
    • A hierarchical model for space-time surveillance data on meningococcal disease incidence
    • Knorr-Held L., and Richardson S. A hierarchical model for space-time surveillance data on meningococcal disease incidence. Appl. Statist. 52 (2003) 169-183
    • (2003) Appl. Statist. , vol.52 , pp. 169-183
    • Knorr-Held, L.1    Richardson, S.2
  • 27
    • 0002950234 scopus 로고
    • Detection of space-time interactions
    • Knox E.G. Detection of space-time interactions. Appl. Statist. 13 (1964) 25-29
    • (1964) Appl. Statist. , vol.13 , pp. 25-29
    • Knox, E.G.1
  • 28
    • 0032752472 scopus 로고    scopus 로고
    • Geostatistical space-time models: a review
    • Kyriakidis P.C., and Journel A.G. Geostatistical space-time models: a review. Math. Geol. 31 (1999) 651-684
    • (1999) Math. Geol. , vol.31 , pp. 651-684
    • Kyriakidis, P.C.1    Journel, A.G.2
  • 30
    • 0034863468 scopus 로고    scopus 로고
    • Autoregressive spatial smoothing and temporal spline smoothing for mapping rates
    • MacNab Y.C., and Dean C.B. Autoregressive spatial smoothing and temporal spline smoothing for mapping rates. Biometrics 57 (2001) 949-956
    • (2001) Biometrics , vol.57 , pp. 949-956
    • MacNab, Y.C.1    Dean, C.B.2
  • 32
    • 0347724154 scopus 로고    scopus 로고
    • Estimating likelihoods for spatio-temporal models using importance sampling
    • Marion G., Gibson G., and Renshaw E. Estimating likelihoods for spatio-temporal models using importance sampling. Statist. Comput. 13 (2003) 111-119
    • (2003) Statist. Comput. , vol.13 , pp. 111-119
    • Marion, G.1    Gibson, G.2    Renshaw, E.3
  • 33
    • 0032449890 scopus 로고    scopus 로고
    • Space-time estimation of grid-cell hourly ozone levels for assessment of a deterministic model
    • Meiring W., Guttorp P., and Sampson P.D. Space-time estimation of grid-cell hourly ozone levels for assessment of a deterministic model. Environ. Ecol. Statist. 5 (1998) 197-222
    • (1998) Environ. Ecol. Statist. , vol.5 , pp. 197-222
    • Meiring, W.1    Guttorp, P.2    Sampson, P.D.3
  • 34
    • 0031692709 scopus 로고    scopus 로고
    • Delineating forest canopy species in the northeastern United States using multi-temporal TM imagery
    • Mickelson Jr. J.G., Civco D.L., and Silander Jr. J.A. Delineating forest canopy species in the northeastern United States using multi-temporal TM imagery. Photo. Eng. Remote Sensing 64 (1998) 891-904
    • (1998) Photo. Eng. Remote Sensing , vol.64 , pp. 891-904
    • Mickelson Jr., J.G.1    Civco, D.L.2    Silander Jr., J.A.3
  • 36
    • 33750735902 scopus 로고    scopus 로고
    • Nyström, K., 2001. Growth models for young stands-development and evaluation of growth models for commercial forests in Sweden. Ph.D. Thesis, Silvestria 180, SLU.
  • 37
    • 0027868356 scopus 로고
    • Forest models defined by field measurements: I. The design of a northeast simulator
    • Pacala S.W., Canham C.D., and Silander J.A. Forest models defined by field measurements: I. The design of a northeast simulator. Canad. J. Forest Res. 23 (1993) 1980-1988
    • (1993) Canad. J. Forest Res. , vol.23 , pp. 1980-1988
    • Pacala, S.W.1    Canham, C.D.2    Silander, J.A.3
  • 38
    • 0001303926 scopus 로고
    • Marked point processes in forest statistics
    • Penttinen A., Stoyan D., and Henttonen H.M. Marked point processes in forest statistics. Forest Sci. 38 (1992) 806-824
    • (1992) Forest Sci. , vol.38 , pp. 806-824
    • Penttinen, A.1    Stoyan, D.2    Henttonen, H.M.3
  • 39
    • 0024910719 scopus 로고
    • Prediction of tree diameter and height in a Scots pine stand as a function of the spatial pattern of trees
    • Pukkala T. Prediction of tree diameter and height in a Scots pine stand as a function of the spatial pattern of trees. Silva Fennica 23 (1989) 83-99
    • (1989) Silva Fennica , vol.23 , pp. 83-99
    • Pukkala, T.1
  • 40
    • 0024898095 scopus 로고
    • Predicting diameter growth in even-aged Scots pine stands with a spatial and non-spatial model
    • Pukkala T. Predicting diameter growth in even-aged Scots pine stands with a spatial and non-spatial model. Silva Fennica 23 (1989) 101-116
    • (1989) Silva Fennica , vol.23 , pp. 101-116
    • Pukkala, T.1
  • 41
    • 0026394648 scopus 로고
    • Effect of spatial pattern of trees on the growth of Norway spruce stand. A simulation model
    • Pukkala T., and Kolström T. Effect of spatial pattern of trees on the growth of Norway spruce stand. A simulation model. Silva Fennica 25 (1991) 117-131
    • (1991) Silva Fennica , vol.25 , pp. 117-131
    • Pukkala, T.1    Kolström, T.2
  • 43
    • 0033733290 scopus 로고    scopus 로고
    • Applying the saddlepoint approximation to bivariate stochastic processes
    • Renshaw E. Applying the saddlepoint approximation to bivariate stochastic processes. Math. Biosci. 168 (2000) 57-75
    • (2000) Math. Biosci. , vol.168 , pp. 57-75
    • Renshaw, E.1
  • 44
    • 33750684501 scopus 로고    scopus 로고
    • Renshaw, E., Comas, C., 2006. Space-time generation of high intensity patterns using growth-interaction processes, in preparation.
  • 45
    • 0013001342 scopus 로고    scopus 로고
    • Can Markov Chain Monte Carlo be usefully applied to stochastic processes with hidden birth times?
    • Renshaw E., and Gibson G.J. Can Markov Chain Monte Carlo be usefully applied to stochastic processes with hidden birth times?. Inverse Problems 14 (1998) 1581-1606
    • (1998) Inverse Problems , vol.14 , pp. 1581-1606
    • Renshaw, E.1    Gibson, G.J.2
  • 46
    • 0035962007 scopus 로고    scopus 로고
    • Gibbs point processes for studying the development of spatial-temporal stochastic processes
    • Renshaw E., and Särkkä A. Gibbs point processes for studying the development of spatial-temporal stochastic processes. Comput. Statist. Data Anal. 36 (2001) 85-105
    • (2001) Comput. Statist. Data Anal. , vol.36 , pp. 85-105
    • Renshaw, E.1    Särkkä, A.2
  • 47
    • 1042302534 scopus 로고    scopus 로고
    • Detecting dependence between marks and locations of marked point processes
    • Schlather M., Ribeiro P., and Diggle P.J. Detecting dependence between marks and locations of marked point processes. J. Roy. Statist. Soc. B 66 (2004) 79-93
    • (2004) J. Roy. Statist. Soc. B , vol.66 , pp. 79-93
    • Schlather, M.1    Ribeiro, P.2    Diggle, P.J.3
  • 48
    • 0001460131 scopus 로고
    • Development of an Appalachian deciduous forest succession models and its application to assessment of the impact of chestnut blight
    • Shugart H.H., and West D.C. Development of an Appalachian deciduous forest succession models and its application to assessment of the impact of chestnut blight. J. Env. Man. 5 (1977) 161-179
    • (1977) J. Env. Man. , vol.5 , pp. 161-179
    • Shugart, H.H.1    West, D.C.2
  • 49
    • 33750709973 scopus 로고    scopus 로고
    • Staebler, G.R., 1951. Growth and spacing in an even-aged stand of Douglas fir. Master's Thesis, University of Michigan.
  • 50
    • 33750692885 scopus 로고    scopus 로고
    • Stoyan, D., 2003. Hard problems with random systems of hard particles. Proceedings of the 54th Session of the International Statistical Institute, Berlin.
  • 51
    • 0002715683 scopus 로고    scopus 로고
    • Recent applications of point process methods in forestry statistics
    • Stoyan D., and Penttinen A. Recent applications of point process methods in forestry statistics. Statist. Sci. 15 (2000) 61-78
    • (2000) Statist. Sci. , vol.15 , pp. 61-78
    • Stoyan, D.1    Penttinen, A.2
  • 55
    • 0000497615 scopus 로고
    • Estimation and model identification for continuous spatial processes
    • Veccia A.V. Estimation and model identification for continuous spatial processes. J. Roy. Statist. Soc. B 50 (1988) 297-312
    • (1988) J. Roy. Statist. Soc. B , vol.50 , pp. 297-312
    • Veccia, A.V.1
  • 56
    • 0041111264 scopus 로고    scopus 로고
    • On variograms in point process statistics
    • Wälder O., and Stoyan D. On variograms in point process statistics. Biometrical J. 38 (1996) 895-905
    • (1996) Biometrical J. , vol.38 , pp. 895-905
    • Wälder, O.1    Stoyan, D.2
  • 58
    • 33750699473 scopus 로고    scopus 로고
    • Wikle, C.K., 2001. A kernel-based spectral approach for spatio-temporal dynamic models. Proceedings of the First Spanish Workshop on Spatio-Temporal Modelling of Environmental Processes (METMA), Benicassim, Spain, pp. 28-31.
  • 59
    • 33750715586 scopus 로고    scopus 로고
    • Wikle, C.K., 2002. Spatio-temporal Methods in Climatology. In: El-Shaarawi, A.H., Jureckova, J. (Eds.), Encyclopedia of Life Support Systems, to appear.
  • 60
    • 0043180459 scopus 로고    scopus 로고
    • Hierarchical models in environmental science
    • Wikle C.K. Hierarchical models in environmental science. Int. Statist. Rev. 71 (2003) 181-199
    • (2003) Int. Statist. Rev. , vol.71 , pp. 181-199
    • Wikle, C.K.1
  • 61
    • 0000414912 scopus 로고    scopus 로고
    • A dimension-reduced approach to space-time Kalman filtering
    • Wikle C.K., and Cressie N. A dimension-reduced approach to space-time Kalman filtering. Biometrika 86 (1999) 815-829
    • (1999) Biometrika , vol.86 , pp. 815-829
    • Wikle, C.K.1    Cressie, N.2
  • 62
    • 0010327544 scopus 로고
    • Time-space clustering of disease
    • Cornell R.G. (Ed), Marcel Dekker, New York
    • Williams G.W. Time-space clustering of disease. In: Cornell R.G. (Ed). Statistical Methods for Cancer Studies (1984), Marcel Dekker, New York 167-227
    • (1984) Statistical Methods for Cancer Studies , pp. 167-227
    • Williams, G.W.1
  • 63
    • 29144508557 scopus 로고    scopus 로고
    • A kernel-based spatio-temporal dynamical model for nowcasting radar precipitations
    • Xu B., Wikle C.K., and Fox N.I. A kernel-based spatio-temporal dynamical model for nowcasting radar precipitations. J. Amer. Statist. Assoc. 100 (2005) 1133-1144
    • (2005) J. Amer. Statist. Assoc. , vol.100 , pp. 1133-1144
    • Xu, B.1    Wikle, C.K.2    Fox, N.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.