Can ARMA modeling be used with confidence in ecology?;Les modeles ARMA peuvent-ils etre utilises avec confiance en ecologie?

Acta Oecologica

Volumn 18, Issue 4, 1997, Pages 427-447

  Malgras, J ^a   Debouzie, D ^a  

^a UNIVERSITÉ LYON 1   (France)

Author keywords

ARMA model; Model selection; Sensitivity; Simulation; Time series

Indexed keywords

ARMA MODELLING; METHODOLOGY; STATISTICAL METHOD;

ARMA;

EID: 0030729526     PISSN: 1146609X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s1146-609x(97)80033-1     Document Type: Article

References (38)

1. Akaike H. Fitting autoregressive models for prediction Annals of the Institute of Statistical Mathematics 21 1969 243 247
2. Akaike H. Information theory and an extension of the maximum principle likelihood Petrov B.N. Csaki F. 2nd International Symposium on Information Theory 1973 Akademiai Kiado Budapest 267 281
3. Akaike H. A new look at the statistical model identification IEEE Transactions on Automatic Control 19 1974 716 723
4. Anderson O.D. The interpretation of Box-Jenkins time series model The Statistician 26 1976 127 145
5. Ansley C.F. Newbold P. Finite sample properties of estimators for autoregressive moving average models Journal of Econometrics 13 1980 159 183
6. Beck M.B. Water quality modelling: a review of the analysis of uncertainty Water Resources Research 23 1987 1393 1442
7. Bildsoe M. Sorensen J.B. A method of modelling time dependent data: swimming in guppies ( Poecilia reticulata ) under threat of a predator Behavioural Processes 31 1994 75 96
8. Box G.E.P. Jenkins G.M. Time series analysis: forecasting and control 2nd ed. 1976 Holden-Day San Francisco
9. Crawley M.J. GLIM for Ecologists 1993 Blackwell Oxford
10. Davies N. Triggs C.M. Newbold P. Significance levels of the Box-Pierce portmanteau statistic in finite samples Biometrika 64 1977 517 522
11. Duncan S.R. Scott S. Duncan C.J. Predictions for time series analysis of the oscillations in Parish register series Journal of Theoretical Biology 168 1994 95 103
12. Fox D.R. Ridsdill-Smith J. Tests for density dependence revisited Oecologia 103 1995 435 443
13. Gleeson A.C. Cullis B.R. Residual maximum likelihood (REML) estimation of a neighbour model for field experiments Biometrics 43 1987 277 288
14. Guiot J. Tessier L. Serre-Bachet F. Application de la modélisation ARMA en dendroclimatologie Comptes Rendus de l'Académie des Sciences, Série III 294 1982 133 136
15. Helfenstein U. Box-Jenkins modelling of some viral infectious deseases Statistics in Medicine 5 1986 37 47
16. Holyoak M. New insights into testing for density dependende Oecologia 93 1993 435 444
17. Hurvich C.M. Tsai C.-L. Regression and time series model selection in small samples Biometrika 76 1989 297 307
18. Hurvich C.M. Shumway R. Tsai C.-L. Improved estimators of Kullback-Leibler information for autoregressive model selection in small samples Biometrika 77 1990 709 719
19. Ibanez F. Interprétation des structures spatio-temporelles en écologie plantonique Frontier S. Biométrie et Océanographie 1990 IFREMER Plouzané (France) 33 63
20. Lütkepohl H. Comparison of criteria for estimating the order of a vector autoregressive processes Journal of Time Series Analysis 6 1985 35 52
21. Madrigal L. Mortality seasonality in Escazu, Costa Rica, 1851–1921 Human Biology 66 1994 433 452
22. Mao Y. Semenciw R. Morrison H. Wigle D.T. Seasonality in epidemics of asthma mortality and hospital admission rates, Ontario, 1979–1986 Canadian Journal of Public Health 81 1990 226 228
23. McCullagh P. Nelder J.A. Generalized Linear Models 1989 Chapman & Hall London
24. Melard G. Méthodes de prévision à court terme 1990 Ellipses Bruxelles
25. Parzen E. Some recent advances in time series modelling IEEE Transactions on Automatic Control 19 1974 723 729
26. Philippe P. Box-Jenkins modelling of chronological series of twin births and single births Human Biology 63 1991 367 387
27. Pötscher B.M. Srinivasan S. A comparison of order estimation procedures for ARMA models Statistica Sinica 4 1994 29 50
28. Reynolds K.M. Madden L.V. Ellis M.A. Spatio-temporal analysis of epidemics development of leather rot of strawberry Phytopathology 78 1988 246 252
29. Rossi R.E. Mulla D.J. Journel A.G. Franz E.H. Geostatistical tools for modeling and interpreting ecological spatial dependence Ecological Monographs 62 1992 277 314
30. ® User's Guide 1988 SAS Institute Cary, NC
31. ® Language: Reference 1990 SAS Institute Cary, NC
32. Schwarz G. Estimating the dimension of a model Annals of Statistics 6 1978 461 464
33. Tankersley C.D. Graham W.D. Comparison of a univariate and transfer function models of groundwater fluctuations Water Resources Research 29 1993 3517 3533
34. Tomassone R. Dervin C. Masson J.P. Biométrie-Modélisation de phénomènes biologiques 1993 Masson Paris
35. Turchin P. Rarity of density dependence or population regulation with lags Nature 344 1990 660 663
36. Turchin P. Taylor A.D. Complex dynamics in ecological time series Ecology 73 1992 289 305
37. Vecchia A.V. Periodic autoregressive moving average (PARMA) modeling with applications to water resources Water Resources Bulletin 21 1985 720 730
38. Zetterqvist L. Statistical estimation and interpretation of trends in water quality time series Water Resources Research 27 1991 1637 1648