메뉴 건너뛰기




Volumn 12, Issue 3, 1996, Pages 193-207

On a class of nonlinear time series models for biological population abundance data

Author keywords

Asymptotically stationary; Conditional least squares; Ergodicity; Markov chains; Population dynamics; Ricker model

Indexed keywords

ASYMPTOTIC STABILITY; BIOLOGY; COMPUTER SIMULATION; DATA REDUCTION; ECOLOGY; LEAST SQUARES APPROXIMATIONS; MARKOV PROCESSES; NONLINEAR EQUATIONS; PARAMETER ESTIMATION; TIME SERIES ANALYSIS;

EID: 0030246819     PISSN: 87550024     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-0747(199609)12:3<193::aid-asm283>3.0.co;2-6     Document Type: Article
Times cited : (3)

References (32)
  • 1
    • 0016394337 scopus 로고
    • Biological populations with nonoverlapping generations: Stable points, stable cycles, and chaos
    • R. M. May, Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos", Science, 186, 645-647 (1974).
    • (1974) Science , vol.186 , pp. 645-647
    • May, R.M.1
  • 3
    • 0025250821 scopus 로고
    • Rarity of density dependence of population regulation with lags?
    • P. Turchin, 'Rarity of density dependence of population regulation with lags?' Nature, 344, 660-663 (1990).
    • (1990) Nature , vol.344 , pp. 660-663
    • Turchin, P.1
  • 4
    • 0000690077 scopus 로고
    • Stabilization or regulation: What it all means!
    • A. A. Berryman, 'Stabilization or regulation: what it all means!', Oecologia, 86, 140-143 (1991).
    • (1991) Oecologia , vol.86 , pp. 140-143
    • Berryman, A.A.1
  • 5
    • 0028180186 scopus 로고
    • Density dependence in time series observations of natural populations: Estimation and testing
    • B. Dennis and M. Taper, 'Density dependence in time series observations of natural populations: estimation and testing', Ecological Monographs, 64, 205-224 (1994).
    • (1994) Ecological Monographs , vol.64 , pp. 205-224
    • Dennis, B.1    Taper, M.2
  • 6
    • 0001051485 scopus 로고
    • Chaos, asymmetric growth and group selection for dynamical stability
    • W. R. Thomas, M. J. Pomerantz and M. E. Gilpin, 'Chaos, asymmetric growth and group selection for dynamical stability', Ecology, 61, 1312-1320 (1980).
    • (1980) Ecology , vol.61 , pp. 1312-1320
    • Thomas, W.R.1    Pomerantz, M.J.2    Gilpin, M.E.3
  • 7
    • 0000450579 scopus 로고
    • Asymmetries in population growth regulated by intraspecific competition: Empirical studies and model tests
    • M. J. Pomerantz, W. R. Thomas and Gilpin, 'Asymmetries in population growth regulated by intraspecific competition: empirical studies and model tests', Oecologia, 47, 311-322 (1980).
    • (1980) Oecologia , vol.47 , pp. 311-322
    • Pomerantz, M.J.1    Thomas, W.R.2    Gilpin3
  • 8
    • 0000471755 scopus 로고
    • On conditional least squares estimation for stochastic processes
    • L. A. Klimko and P. I. Nelson, 'On conditional least squares estimation for stochastic processes', Ann. Statist., 6, 629-642 (1978).
    • (1978) Ann. Statist. , vol.6 , pp. 629-642
    • Klimko, L.A.1    Nelson, P.I.2
  • 9
    • 0000169232 scopus 로고
    • An algorithm for the least squares estimation of nonlinear parameters
    • D. W. Marquardt, 'An algorithm for the least squares estimation of nonlinear parameters', J. Social, Industrial and Appl. Math., 2, 431-41 (1963).
    • (1963) J. Social, Industrial and Appl. Math. , vol.2 , pp. 431-441
    • Marquardt, D.W.1
  • 10
    • 0000950107 scopus 로고
    • The ten-year cycle in numbers of the lynx in Canada
    • C. Elton and M. Nicholson, 'The ten-year cycle in numbers of the lynx in Canada', J. Animal Ecology, 11, 215-244 (1942).
    • (1942) J. Animal Ecology , vol.11 , pp. 215-244
    • Elton, C.1    Nicholson, M.2
  • 11
    • 0001400613 scopus 로고
    • Experimental studies of interspecies competition-Part I: Competition between populations of the flour beetles, Tribolium confusum Duval and Tribolium Castaneum Herbst
    • T. Park, 'Experimental studies of interspecies competition-Part I: Competition between populations of the flour beetles, Tribolium confusum Duval and Tribolium Castaneum Herbst, Ecological Monographs, 18, 265-308 (1948).
    • (1948) Ecological Monographs , vol.18 , pp. 265-308
    • Park, T.1
  • 13
    • 0002090746 scopus 로고
    • On the theoretical specification of sampling properties of autocorrelated time series
    • M. S. Bartlett, 'On the theoretical specification of sampling properties of autocorrelated time series'. J. Royal Statist. Soc., B8, 27-41 (1946).
    • (1946) J. Royal Statist. Soc. , vol.B8 , pp. 27-41
    • Bartlett, M.S.1
  • 14
    • 84986777926 scopus 로고
    • Diagnostic checking ARMA time series models using squared-residual autocorrelations
    • A. I. McLeod and W. K. Li, 'Diagnostic checking ARMA time series models using squared-residual autocorrelations', J. Time Series Anal., 4, 269-73 (1983).
    • (1983) J. Time Series Anal. , vol.4 , pp. 269-273
    • McLeod, A.I.1    Li, W.K.2
  • 15
    • 0000521149 scopus 로고
    • A simple test for normality against asymmetric alternatives
    • C. C. Lin and G. S. Mudholkar, 'A simple test for normality against asymmetric alternatives', Biometrika, 76, 455-461 (1980).
    • (1980) Biometrika , vol.76 , pp. 455-461
    • Lin, C.C.1    Mudholkar, G.S.2
  • 16
    • 84986767565 scopus 로고
    • A comparative study of various univariate time series models for Canadian lynx data
    • K. S. Lim, 'A comparative study of various univariate time series models for Canadian lynx data', J. Time Series Analysis, 8, 161-176 (1987).
    • (1987) J. Time Series Analysis , vol.8 , pp. 161-176
    • Lim, K.S.1
  • 17
    • 84970599878 scopus 로고
    • The statistical analysis of the Canadian lynx cycle-Part I: Structure and prediction
    • P. A. P. Moran, "The statistical analysis of the Canadian lynx cycle-Part I: Structure and prediction', Australian J. Zoology, 1, 163-73 (1953).
    • (1953) Australian J. Zoology , vol.1 , pp. 163-173
    • Moran, P.A.P.1
  • 18
    • 0001192762 scopus 로고
    • Some comments on the Canadian lynx data-with discussion
    • H. Tong 'Some comments on the Canadian lynx data-with discussion,' J. Royal Statist. Soc., A140, 432-435, 448-468 (1977).
    • (1977) J. Royal Statist. Soc. , vol.A140 , pp. 432-435
    • Tong, H.1
  • 19
    • 84986765190 scopus 로고
    • The estimation and prediction of subset bilinear time series models with applications
    • M. M. Gabr and T. Subba Rao, 'The estimation and prediction of subset bilinear time series models with applications', J. Time Series Analysis, 2, 153-71 (1981).
    • (1981) J. Time Series Analysis , vol.2 , pp. 153-171
    • Gabr, M.M.1    Subba Rao, T.2
  • 20
    • 77956887690 scopus 로고
    • Modeling non-linear random vibrations using an amplitude-dependent autoregressive time series model
    • V. Haggan and T. Ozaki, 'Modeling non-linear random vibrations using an amplitude-dependent autoregressive time series model', Biometrika, 68, 189-96 (1981).
    • (1981) Biometrika , vol.68 , pp. 189-196
    • Haggan, V.1    Ozaki, T.2
  • 22
    • 84950428199 scopus 로고
    • Testing and modeling threshold autoregressive processes
    • R. S. Tsay, 'Testing and modeling threshold autoregressive processes', J. American Statist. Assn., 84, 231-40 (1989).
    • (1989) J. American Statist. Assn. , vol.84 , pp. 231-240
    • Tsay, R.S.1
  • 23
    • 84923053681 scopus 로고
    • Specification, estimation and evaluation of smooth transition autoregressive models
    • T. Teräsvirta, 'Specification, estimation and evaluation of smooth transition autoregressive models', J. American Statist. Assoc., 89, 208-218 (1994).
    • (1994) J. American Statist. Assoc. , vol.89 , pp. 208-218
    • Teräsvirta, T.1
  • 24
    • 0002179369 scopus 로고
    • Criteria for rates of convergence of Markov chains, with application toqueueing theory
    • J. F. C. Kingman and G. E. H. Reuter (eds) Cambridge University Press, U.K.
    • R. L. Tweedie, 'Criteria for rates of convergence of Markov chains, with application toqueueing theory', in paper in Probability, Statistics and Analysis, J. F. C. Kingman and G. E. H. Reuter (eds) Cambridge University Press, U.K., 1983, pp. 260-276.
    • (1983) Probability, Statistics and Analysis , pp. 260-276
    • Tweedie, R.L.1
  • 25
    • 0020717356 scopus 로고
    • The existence of moments for stationary Markov chains
    • R. L. Tweedie, 'The existence of moments for stationary Markov chains', J. Appl. Probability, 20, 191-96 (1983).
    • (1983) J. Appl. Probability , vol.20 , pp. 191-196
    • Tweedie, R.L.1
  • 26
    • 0017846358 scopus 로고
    • On a measure of lack of fit in time series models
    • G. M. Ljung and G. E. P. Box, 'On a measure of lack of fit in time series models', Biometrika, 65, 297-303 (1978).
    • (1978) Biometrika , vol.65 , pp. 297-303
    • Ljung, G.M.1    Box, G.E.P.2
  • 28
    • 0000589618 scopus 로고
    • A survey of statistical work on the Mckenzie river series of annual Canadian lynx trappings for the years 1821-1934, and a new analysis
    • discussion 448-68
    • M. J. Campbell and A. M. Walker, 'A survey of statistical work on the Mckenzie river series of annual Canadian lynx trappings for the years 1821-1934, and a new analysis', J. Royal Statist. Soc., A140, 411-31, discussion 448-68 (1977).
    • (1977) J. Royal Statist. Soc. , vol.A140 , pp. 411-431
    • Campbell, M.J.1    Walker, A.M.2
  • 29
    • 0018011328 scopus 로고
    • Techniques for establishing ergodic and recurrence properties of continuous-valued Markov chains
    • G. M. Laslett, D. B. Pollard and R. L. Tweedie, 'Techniques for establishing ergodic and recurrence properties of continuous-valued Markov chains', Naval Res. Logistics Quarterly, 25, 455-472 (1978).
    • (1978) Naval Res. Logistics Quarterly , vol.25 , pp. 455-472
    • Laslett, G.M.1    Pollard, D.B.2    Tweedie, R.L.3
  • 30
    • 11344264945 scopus 로고
    • Least squares tests for discrete parameter stochastic processes
    • P. I. Nelson, 'Least squares tests for discrete parameter stochastic processes. Commun. Statistics, A8, 283-297 (1979).
    • (1979) Commun. Statistics , vol.A8 , pp. 283-297
    • Nelson, P.I.1
  • 31
    • 0000765275 scopus 로고
    • Fundamental concepts and methodology for the analysis of animal population dynamics, with particular reference to univoltine species
    • T. Royama, 'Fundamental concepts and methodology for the analysis of animal population dynamics, with particular reference to univoltine species', Ecological Monographs, 51, 473-493 (1981).
    • (1981) Ecological Monographs , vol.51 , pp. 473-493
    • Royama, T.1
  • 32
    • 11344290443 scopus 로고
    • Oxford University Press, Oxford, U.K.
    • H. Tong, Nolinear Time Series, Oxford University Press, Oxford, U.K., 1990.
    • (1990) Nolinear Time Series
    • Tong, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.