메뉴 건너뛰기




Volumn 70, Issue 2, 2008, Pages 358-381

Bayesian inference for functional response in a stochastic predator-prey system

Author keywords

Bayesian inference; Functional response; Latent data; MCMC algorithms; Stochastic predator prey system

Indexed keywords

ACARIDAE; ALGORITHM; ANIMAL; ARTICLE; BAYES THEOREM; BIOLOGICAL MODEL; ECOSYSTEM; FEEDING BEHAVIOR; MONTE CARLO METHOD; PHYSIOLOGY; POPULATION DENSITY; POPULATION DYNAMICS; PREDATION; REPRODUCIBILITY; SAMPLE SIZE; TETRANYCHIDAE;

EID: 38349192229     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-007-9256-3     Document Type: Article
Times cited : (20)

References (50)
  • 1
    • 0034482876 scopus 로고    scopus 로고
    • Viability analyses with habitat-based metapopulation model
    • Akçakaya, H.R., 2000. Viability analyses with habitat-based metapopulation model. Popul. Ecol. 42, 45-53.
    • (2000) Popul. Ecol. , vol.42 , pp. 45-53
    • Akçakaya, H.R.1
  • 2
    • 0036216388 scopus 로고    scopus 로고
    • Maximum likelihood estimation of discretely sampled diffusions: A closed-form approximation approach
    • 1
    • Aït-Sahalia, Y., 2002. Maximum likelihood estimation of discretely sampled diffusions: a closed-form approximation approach. Econometrica 70(1), 223-262.
    • (2002) Econometrica , vol.70 , pp. 223-262
    • Aït-Sahalia, Y.1
  • 4
    • 33646690994 scopus 로고    scopus 로고
    • Exact an computationally efficient likelihood-based estimation for discretely observed diffusion processes
    • 3
    • Beskos, A., Papaspiliopoulos, O., Roberts, G.O., Fearnhead, P., 2006. Exact an computationally efficient likelihood-based estimation for discretely observed diffusion processes. J. Roy. Stat. Soc. Ser. B 68(3), 333-382.
    • (2006) J. Roy. Stat. Soc. Ser. B , vol.68 , pp. 333-382
    • Beskos, A.1    Papaspiliopoulos, O.2    Roberts, G.O.3    Fearnhead, P.4
  • 5
    • 84972534141 scopus 로고
    • Martingale estimation functions for discretely observed diffusion processes
    • Bibby, B.M., Sørensen, M., 1995. Martingale estimation functions for discretely observed diffusion processes. Bernoulli 1, 17-39.
    • (1995) Bernoulli , vol.1 , pp. 17-39
    • Bibby, B.M.1    Sørensen, M.2
  • 6
    • 3943084525 scopus 로고    scopus 로고
    • Demographic and environmental stochasticity in predator-prey metapopulation dynamics
    • Bonsall, M.B., Hastings, A., 2004. Demographic and environmental stochasticity in predator-prey metapopulation dynamics. J. Animal Ecol. 73, 1043-1055.
    • (2004) J. Animal Ecol. , vol.73 , pp. 1043-1055
    • Bonsall, M.B.1    Hastings, A.2
  • 7
    • 0346306386 scopus 로고    scopus 로고
    • A lumped parameter model for acarine predator-prey population interactions
    • Buffoni, G., Gilioli, G., 2003. A lumped parameter model for acarine predator-prey population interactions. Ecol. Modell. 170, 155-171.
    • (2003) Ecol. Modell. , vol.170 , pp. 155-171
    • Buffoni, G.1    Gilioli, G.2
  • 9
    • 0028181287 scopus 로고
    • Fitting predator-prey models to time series with observation errors
    • 5
    • Carpenter, S.R., Cottingham, K.L., Stow, C.A., 1994. Fitting predator-prey models to time series with observation errors. Ecology 75(5), 1254-1264.
    • (1994) Ecology , vol.75 , pp. 1254-1264
    • Carpenter, S.R.1    Cottingham, K.L.2    Stow, C.A.3
  • 10
    • 10344254865 scopus 로고    scopus 로고
    • Parasitoid behavior: Predicting flied from laboratory
    • Casas, J., Swarbrick, S., Murdoch, W.W., 2004. Parasitoid behavior: predicting flied from laboratory. Ecol. Entomol. 29, 657-665.
    • (2004) Ecol. Entomol. , vol.29 , pp. 657-665
    • Casas, J.1    Swarbrick, S.2    Murdoch, W.W.3
  • 11
    • 0000015793 scopus 로고
    • Predator-prey theory and variability
    • Chesson, P., 1978. Predator-prey theory and variability. Ann. Rev. Ecol. Syst. 9, 323-347.
    • (1978) Ann. Rev. Ecol. Syst. , vol.9 , pp. 323-347
    • Chesson, P.1
  • 12
    • 0030539336 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo convergence diagnostics: A comparative review
    • 434
    • Cowles, M.K., Carlin, B.P., 1996. Markov Chain Monte Carlo convergence diagnostics: a comparative review. J. Am. Stat. Assoc. 91(434), 883-904.
    • (1996) J. Am. Stat. Assoc. , vol.91 , pp. 883-904
    • Cowles, M.K.1    Carlin, B.P.2
  • 13
    • 0036339461 scopus 로고    scopus 로고
    • Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes
    • 3
    • Durham, G.B., Gallant, A.R., 2002. Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes. J. Bus. Econ. Stat. 20(3), 297-316.
    • (2002) J. Bus. Econ. Stat. , vol.20 , pp. 297-316
    • Durham, G.B.1    Gallant, A.R.2
  • 14
    • 0000440935 scopus 로고    scopus 로고
    • Likelihood inference for discretely observed nonlinear diffusions
    • 4
    • Elerian, O., Chib, S., Shephard, N., 2001. Likelihood inference for discretely observed nonlinear diffusions. Econometrica 69(4), 959-993.
    • (2001) Econometrica , vol.69 , pp. 959-993
    • Elerian, O.1    Chib, S.2    Shephard, N.3
  • 15
    • 0035586814 scopus 로고    scopus 로고
    • MCMC analysis of diffusion models with application to finance
    • 2
    • Eraker, B., 2001. MCMC analysis of diffusion models with application to finance. J. Bus. Econ. Stat. 19(2), 177-191.
    • (2001) J. Bus. Econ. Stat. , vol.19 , pp. 177-191
    • Eraker, B.1
  • 16
    • 38349193929 scopus 로고    scopus 로고
    • Comment to 'Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes'
    • 3
    • Eraker, B., 2002. Comment to 'Numerical techniques for maximum likelihood estimation of continuous-time diffusion processes'. J. Bus. Econ. Stat. 20(3), 327-329.
    • (2002) J. Bus. Econ. Stat. , vol.20 , pp. 327-329
    • Eraker, B.1
  • 17
    • 0345959833 scopus 로고    scopus 로고
    • Aspetti della dinamica di popolazione del sistema Tetranychus urticae-Phytoseiulus persimilis in pieno campo: Implicazioni per le strategie di lotta biologica
    • Atti del Convegno "La difesa delle colture in agricoltura biologica" Grugliasco-Torino, 5-6 Settembre 2001
    • Gilioli, G., Vacante, V., 2001. Aspetti della dinamica di popolazione del sistema Tetranychus urticae-Phytoseiulus persimilis in pieno campo: implicazioni per le strategie di lotta biologica. In: Atti del Convegno "La difesa delle colture in agricoltura biologica" Grugliasco-Torino, 5-6 Settembre 2001, Notiziario sulla protezione delle piante, 13 (nuova serie), pp. 95-99.
    • (2001) Notiziario Sulla Protezione delle Piante , vol.13 , Issue.NUOVA SERIE , pp. 95-99
    • Gilioli, G.1    Vacante, V.2
  • 18
    • 27544445765 scopus 로고    scopus 로고
    • Temperature influences on the functional response of Coenosia attenuata (Diptera Muscidae) individuals
    • 5
    • Gilioli, G., Baumgärtner, J., Vacante, V., 2005. Temperature influences on the functional response of Coenosia attenuata (Diptera Muscidae) individuals. J. Econ. Entomol. 98(5), 1524-1530.
    • (2005) J. Econ. Entomol. , vol.98 , pp. 1524-1530
    • Gilioli, G.1    Baumgärtner, J.2    Vacante, V.3
  • 20
    • 27744503232 scopus 로고    scopus 로고
    • Bayesian inference for stochastic kinetic models using a diffusion approximations
    • 3
    • Golightly, A., Wilkinson, D.J., 2005. Bayesian inference for stochastic kinetic models using a diffusion approximations. Biometrics 61(3), 781-788.
    • (2005) Biometrics , vol.61 , pp. 781-788
    • Golightly, A.1    Wilkinson, D.J.2
  • 21
    • 33750049940 scopus 로고    scopus 로고
    • Bayesian sequential inference for nonlinear multivariate diffusions
    • 4
    • Golightly, A., Wilkinson, D.J., 2006. Bayesian sequential inference for nonlinear multivariate diffusions. Stat. Comput. 16(4), 323-338.
    • (2006) Stat. Comput. , vol.16 , pp. 323-338
    • Golightly, A.1    Wilkinson, D.J.2
  • 24
    • 0034702751 scopus 로고    scopus 로고
    • Testing for predator dependence in predator-prey dynamics: A non-parametric approach
    • Jost, C., Ellner, S.P., 2000. Testing for predator dependence in predator-prey dynamics: a non-parametric approach. Proc. Roy. Soc. Lond. B 267, 1611-1620.
    • (2000) Proc. Roy. Soc. Lond. B , vol.267 , pp. 1611-1620
    • Jost, C.1    Ellner, S.P.2
  • 25
    • 0001287193 scopus 로고
    • Experimental and mathematical analysis of herbivore movement: Quantifying the influence of plant spacing and quality on foraging discrimination
    • 3
    • Kareiva, P., 1982. Experimental and mathematical analysis of herbivore movement: quantifying the influence of plant spacing and quality on foraging discrimination. Ecol. Monogr. 52(3), 261-282.
    • (1982) Ecol. Monogr. , vol.52 , pp. 261-282
    • Kareiva, P.1
  • 26
    • 0025526270 scopus 로고
    • Population dynamics in spatially complex environments: Theory and data
    • Kareiva, P., 1990. Population dynamics in spatially complex environments: theory and data. Philos. Trans. Roy. Soc. Lond. 330, 175-190.
    • (1990) Philos. Trans. Roy. Soc. Lond. , vol.330 , pp. 175-190
    • Kareiva, P.1
  • 27
    • 0035995078 scopus 로고    scopus 로고
    • Computational aspects related to martingale estimating functions for a discretely observed diffusion
    • Kessler, M., Parades, S., 2002. Computational aspects related to martingale estimating functions for a discretely observed diffusion. Scand. J. Stat. 29, 425-440.
    • (2002) Scand. J. Stat. , vol.29 , pp. 425-440
    • Kessler, M.1    Parades, S.2
  • 28
    • 0000647626 scopus 로고    scopus 로고
    • Estimating equations based on eigenfunctions for a discretely observed diffusion process
    • 2
    • Kessler, M., Sørensen, M., 1999. Estimating equations based on eigenfunctions for a discretely observed diffusion process. Bernoulli 5(2), 299-314.
    • (1999) Bernoulli , vol.5 , pp. 299-314
    • Kessler, M.1    Sørensen, M.2
  • 30
    • 33747695768 scopus 로고    scopus 로고
    • Temporal dynamics of tetranychus urticae populations in small-scale Kenyan farmers tomato fields
    • Knapp, M., Sarr, I., Baumgärtner, J., Gilioli, G., 2006. Temporal dynamics of tetranychus urticae populations in small-scale Kenyan farmers tomato fields. Exp. Appl. Acarol. 39, 195-212.
    • (2006) Exp. Appl. Acarol. , vol.39 , pp. 195-212
    • Knapp, M.1    Sarr, I.2    Baumgärtner, J.3    Gilioli, G.4
  • 33
    • 38349180297 scopus 로고    scopus 로고
    • Within- and between-system variability in an acarine predator-prey metapopulation
    • Di Cola, G., Gilioli, G. (Eds.) Quaderni del Dipartimento di Matematica, Università di Parma
    • Nachmann, G., 1996. Within- and between-system variability in an acarine predator-prey metapopulation. In: Di Cola, G., Gilioli, G. (Eds.) Computer Science and Mathematical Methods in Plant Protection. Quaderni del Dipartimento di Matematica, Università di Parma, n. 135, pp. 110-132.
    • (1996) Computer Science and Mathematical Methods in Plant Protection , vol.135 , pp. 110-132
    • Nachmann, G.1
  • 35
    • 0030389934 scopus 로고    scopus 로고
    • Predicting the outcome of competition using experimental data: Maximum likelihood and Bayesian approaches
    • 2
    • Pascual, M.A., Kareiva, K., 1996. Predicting the outcome of competition using experimental data: maximum likelihood and Bayesian approaches. Ecology 77(2), 337-349.
    • (1996) Ecology , vol.77 , pp. 337-349
    • Pascual, M.A.1    Kareiva, K.2
  • 36
    • 0002841968 scopus 로고
    • A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observations
    • Pedersen, A.R., 1995a. A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observations. Scand. J. Stat. 22, 55-71.
    • (1995) Scand. J. Stat. , vol.22 , pp. 55-71
    • Pedersen, A.R.1
  • 37
    • 84972530323 scopus 로고
    • Consistency and asymptotic normality of an approximate maximum likelihood estimator for discretely observed diffusion processes
    • Pedersen, A.R., 1995b. Consistency and asymptotic normality of an approximate maximum likelihood estimator for discretely observed diffusion processes. Bernoulli 1, 257-279.
    • (1995) Bernoulli , vol.1 , pp. 257-279
    • Pedersen, A.R.1
  • 39
    • 0025876128 scopus 로고
    • Chaotic stochasticity: A ubiquitous source of unpredictability in epidemics
    • Rand, D., Wilson, H.B., 1991. Chaotic stochasticity: a ubiquitous source of unpredictability in epidemics. Proc. Roy. Soc. Lond. B 246, 179-184.
    • (1991) Proc. Roy. Soc. Lond. B , vol.246 , pp. 179-184
    • Rand, D.1    Wilson, H.B.2
  • 40
    • 0036557496 scopus 로고    scopus 로고
    • A taxonomy and treatment of uncertainty for ecology and conservation biology
    • 2
    • Regan, H.M., Colyvan, M., Burgman, M.A., 2002. A taxonomy and treatment of uncertainty for ecology and conservation biology. Ecol. Appl. 12(2), 618-628.
    • (2002) Ecol. Appl. , vol.12 , pp. 618-628
    • Regan, H.M.1    Colyvan, M.2    Burgman, M.A.3
  • 41
    • 51649171552 scopus 로고
    • A comparative study of models for predation and parasitism
    • Royama, T., 1971. A comparative study of models for predation and parasitism. Res. Popul. Ecol. Suppl. 1, 1-91.
    • (1971) Res. Popul. Ecol. Suppl. , vol.1 , pp. 1-91
    • Royama, T.1
  • 43
    • 0000905848 scopus 로고
    • Minimum population size for species conservation
    • Shaffer, G., 1981. Minimum population size for species conservation. Bioscience 31, 131-134.
    • (1981) Bioscience , vol.31 , pp. 131-134
    • Shaffer, G.1
  • 44
    • 0003132566 scopus 로고
    • Minimum viable populations: Coping with uncertainty
    • Cambridge University Press Cambridge
    • Shaffer, G., 1987. Minimum viable populations: coping with uncertainty. In: Soulé, M.E. (Ed.), Viable Populations for Conservation. Cambridge University Press, Cambridge.
    • (1987) Viable Populations for Conservation
    • Shaffer, G.1    Soulé, M.E.2
  • 45
    • 0011425031 scopus 로고    scopus 로고
    • On asymptotics of estimating functions
    • Sørensen, M., 1999. On asymptotics of estimating functions. Braz. J. Probab. Stat. 13, 111-136.
    • (1999) Braz. J. Probab. Stat. , vol.13 , pp. 111-136
    • Sørensen, M.1
  • 46
    • 10244220000 scopus 로고    scopus 로고
    • Parametric inference for diffusion processes observed at discrete points in time: A survey
    • 3
    • Sørensen, H., 2004. Parametric inference for diffusion processes observed at discrete points in time: a survey. Int. Stat. Rev. 72(3), 337-354.
    • (2004) Int. Stat. Rev. , vol.72 , pp. 337-354
    • Sørensen, H.1
  • 47
    • 35348963754 scopus 로고    scopus 로고
    • On simulated likelihood of discretely observed diffusion processes and comparison to closed-form approximation
    • to appear.
    • Stramer, O., Yan, J., 2007. On simulated likelihood of discretely observed diffusion processes and comparison to closed-form approximation. J. Comput. Graph. Stat., to appear.
    • (2007) J. Comput. Graph. Stat.
    • Stramer, O.1    Yan, J.2
  • 48
    • 84950758368 scopus 로고
    • The calculation of posterior distributions by data augmentation
    • Tanner, M.A., Wong, W.H., 1987. The calculation of posterior distributions by data augmentation. J. Am. Stat. Assoc. 82, 528-541.
    • (1987) J. Am. Stat. Assoc. , vol.82 , pp. 528-541
    • Tanner, M.A.1    Wong, W.H.2
  • 50
    • 0037306948 scopus 로고    scopus 로고
    • Multistage functional responses in a ladybeetle-aphid system: Scaling up from the laboratory to the field
    • 1
    • Xia, J.Y., Rabbinge, R., van der Werf, W., 2003. Multistage functional responses in a ladybeetle-aphid system: scaling up from the laboratory to the field. Environ. Entomol. 32(1), 151-162.
    • (2003) Environ. Entomol. , vol.32 , pp. 151-162
    • Xia, J.Y.1    Rabbinge, R.2    Van Der Werf, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.