메뉴 건너뛰기




Volumn , Issue , 2011, Pages 71-104

Applications of markov chains and brownian motion models in insect ecology

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84856969870     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter
Times cited : (10)

References (89)
  • 1
    • 0019188958 scopus 로고
    • Biased random walk models for chemotaxis and related diffusion approximations
    • Alt, W. (1980). Biased random walk models for chemotaxis and related diffusion approximations. Journal of Mathematical Biology, 9, 147-177.
    • (1980) Journal of Mathematical Biology , vol.9 , pp. 147-177
    • Alt, W.1
  • 3
    • 0034724075 scopus 로고    scopus 로고
    • Markov chain models for vegetation dynamics
    • Balzter, H. (2000). Markov chain models for vegetation dynamics. Ecological Modelling, 126, 139-154.
    • (2000) Ecological Modelling , vol.126 , pp. 139-154
    • Balzter, H.1
  • 4
    • 0000342467 scopus 로고
    • Statistical inference for probabilistic functions of finite state Markov chains
    • Baum, L. and Petrie, T. (1966). Statistical inference for probabilistic functions of finite state Markov chains. The Annals of Mathematical Statistics, 37, 1554-1563.
    • (1966) The Annals of Mathematical Statistics , vol.37 , pp. 1554-1563
    • Baum, L.1    Petrie, T.2
  • 5
    • 84965063004 scopus 로고
    • An inequality with applications to statistical estimation for probabilistic functions of a Markov process and to a model for ecology
    • Baum, L. and Egon, J. (1967). An inequality with applications to statistical estimation for probabilistic functions of a Markov process and to a model for ecology. Bulletin of the American Mathematical Society, 73, 360-363.
    • (1967) Bulletin of the American Mathematical Society , vol.73 , pp. 360-363
    • Baum, L.1    Egon, J.2
  • 6
    • 0009330630 scopus 로고
    • Methods for estimating the population of insects in a field
    • Beall, G. (1939). Methods for estimating the population of insects in a field. Biometrica, 30, 422-439.
    • (1939) Biometrica , vol.30 , pp. 422-439
    • Beall, G.1
  • 7
    • 0003700224 scopus 로고
    • Insect photoperiodism
    • 2nd ed. Academic, New York
    • Beck, S. D. (1980) Insect photoperiodism, 2nd ed. Academic, New York.
    • (1980)
    • Beck, S.D.1
  • 8
    • 0024898329 scopus 로고
    • How animals use their environment: a new look at kinesis
    • Benhamou, S. and Bovet, P. (1989). How animals use their environment: a new look at kinesis. Animal Behaviour, 38, 375-383.
    • (1989) Animal Behaviour , vol.38 , pp. 375-383
    • Benhamou, S.1    Bovet, P.2
  • 9
    • 0013034246 scopus 로고
    • Opening the box of a box plot
    • Benjamini, Y. (1988). Opening the box of a box plot. The American Statistician, 42, 257-262.
    • (1988) The American Statistician , vol.42 , pp. 257-262
    • Benjamini, Y.1
  • 10
    • 0003502960 scopus 로고
    • Statistics for long-memory processes
    • Chapman and Hall, New York
    • Beran. J. (1994). Statistics for long-memory processes. Chapman and Hall, New York.
    • (1994)
    • Beran, J.1
  • 11
    • 0004232671 scopus 로고
    • Random walks in Biology
    • Princeton University Press, N.J
    • Berg H. C. (1983). Random walks in Biology. Princeton University Press, N.J.
    • (1983)
    • Berg, H.C.1
  • 13
    • 0003400560 scopus 로고    scopus 로고
    • Handbook of Brownian motion: Facts and Formulae
    • 2nd ed., Basel: Birkhäuser
    • Borodin, A. N. and Salimnen P. (2002). Handbook of Brownian motion: Facts and Formulae, 2nd ed., Basel: Birkhäuser
    • (2002)
    • Borodin, A.N.1    Salimnen, P.2
  • 14
    • 0004311217 scopus 로고
    • Time Series Analysis: Forecasting and Control
    • Holden-Day
    • Box, G. E. P., and Jenkins, G. (1976). Time Series Analysis: Forecasting and Control. Holden-Day.
    • (1976)
    • Box, G.E.P.1    Jenkins, G.2
  • 15
    • 0010474705 scopus 로고
    • From cohort data to life table parameters via stochastic modelling
    • Estimation and analysis of insect populations (Lect. Notes Statist.), Berlin Heidelberg New York: Springer
    • Braner, M. and Hairston Jr. N. G (1989). From cohort data to life table parameters via stochastic modelling. In: Estimation and analysis of insect populations (Lect. Notes Statist.), Berlin Heidelberg New York: Springer
    • (1989)
    • Braner, M.1    Hairston Jr., N.G.2
  • 16
    • 0000643179 scopus 로고
    • A brief account of microscopical observations made in the months of June, July and August, 1827, on the particles contained in the pollen of plants; and the general existence of active molecules in organic and inorganic bodies
    • Brown, R. (1828). A brief account of microscopical observations made in the months of June, July and August, 1827, on the particles contained in the pollen of plants; and the general existence of active molecules in organic and inorganic bodies. Philos. Mag. 4, 161-173.
    • (1828) Philos. Mag. , vol.4 , pp. 161-173
    • Brown, R.1
  • 17
    • 0034957428 scopus 로고    scopus 로고
    • Correlated random walk equations of animal dispersal resolved by simulation
    • Byers, J. A. (2001). Correlated random walk equations of animal dispersal resolved by simulation. Ecology, 82, 1680-1690.
    • (2001) Ecology , vol.82 , pp. 1680-1690
    • Byers, J.A.1
  • 18
    • 84892102375 scopus 로고
    • A Dictionary of Distributions: I. Comparisons With the Standard Normal
    • Paper presented at the Eastern Regional Meeting of the Institute of Mathematical Statistics, Upton, Long Island, New York
    • Chambers, Mrs. E. and Fowlkes, E. B. (1966). "A Dictionary of Distributions: I. Comparisons With the Standard Normal." Paper presented at the Eastern Regional Meeting of the Institute of Mathematical Statistics, Upton, Long Island, New York.
    • (1966)
    • Chambers, E.1    Fowlkes, E.B.2
  • 19
    • 0003780340 scopus 로고
    • Graphical Methods for data Analysis
    • Belmont, CA: Wadsworth
    • Chambers, J.; Cleveland, W.; Kleiner, B.; and Tukey, P. 1983. Graphical Methods for data Analysis. Belmont, CA: Wadsworth.
    • (1983)
    • Chambers, J.1    Cleveland, W.2    Kleiner B.3    4    Tukey, P.5
  • 20
    • 0010557465 scopus 로고
    • The Power of the Shapiro-Wilk W Test for Normality in Samples from Contaminated Normal Distributions
    • Chen, E. H. (1971). The Power of the Shapiro-Wilk W Test for Normality in Samples from Contaminated Normal Distributions. Journal of the American Statistical Association, 66, 760-762.
    • (1971) Journal of the American Statistical Association , vol.66 , pp. 760-762
    • Chen, E.H.1
  • 21
    • 10344239774 scopus 로고
    • Insect diapause, the seasonal synchronization of life cycles, and management strategies
    • Chippendale, G. M. (1982). Insect diapause, the seasonal synchronization of life cycles, and management strategies. Entomologia Experimentalis et Applicata, 88, 1-7.
    • (1982) Entomologia Experimentalis et Applicata , vol.88 , pp. 1-7
    • Chippendale, G.M.1
  • 23
    • 0003829710 scopus 로고
    • The Theory of Stochastic Processes
    • Chapman and Hall, London
    • Cox, D. R. and Miller H. D. (1965). The Theory of Stochastic Processes, Chapman and Hall, London.
    • (1965)
    • Cox, D.R.1    Miller, H.D.2
  • 24
    • 34250890603 scopus 로고
    • Diffusion
    • 2nd ed. Oxford University Press, London, England
    • Crank, J. (1975). The Mathematics of Diffusion, 2nd ed. Oxford University Press, London, England.
    • (1975)
    • Crank, J.1
  • 25
    • 0003499586 scopus 로고
    • Fitting Equations to Data
    • New York: John Wiley and Sons
    • Cuthbert D. and, Fred W. S. (1971). Fitting Equations to Data. New York: John Wiley and Sons.
    • (1971)
    • Cuthbert D.and1    Fred, W.S.2
  • 26
    • 0004205773 scopus 로고
    • The Elements of Graphing Data
    • Monterey, CA: Wadsworth Advanced Books and Software
    • Cleveland, W. (1985). The Elements of Graphing Data, Monterey, CA: Wadsworth Advanced Books and Software.
    • (1985)
    • Cleveland, W.1
  • 27
    • 54449099665 scopus 로고    scopus 로고
    • Temperature dependent bionomics and modeling of Anarsia lineatella (Lepidoptera: Gelechiidae) in the Laboratory
    • Damos P. and Savopoulou-Soultani M. (2008). Temperature dependent bionomics and modeling of Anarsia lineatella (Lepidoptera: Gelechiidae) in the Laboratory. Journal of Economic Entomology, 101, 1557-1567.
    • (2008) Journal of Economic Entomology , vol.101 , pp. 1557-1567
    • Damos, P.1    Savopoulou-Soultani, M.2
  • 28
    • 77954452167 scopus 로고    scopus 로고
    • Synchronized diapause termination of the peach twig borer Anarsia lineatella (Lepidoptera: Gelechiidae): Brownnian motion with drift?
    • Damos P. and Savopoulou-Soultani M. (2010). Synchronized diapause termination of the peach twig borer Anarsia lineatella (Lepidoptera: Gelechiidae): Brownnian motion with drift? Physiological Entomology, 35, 64-75.
    • (2010) Physiological Entomology , vol.35 , pp. 64-75
    • Damos, P.1    Savopoulou-Soultani, M.2
  • 29
    • 77955775573 scopus 로고    scopus 로고
    • Development and validation of models in forecasting major lepidopterous peach pest complex for Integrated pest management programs
    • Damos P. and Savopoulou-Soultani M. (2010). Development and validation of models in forecasting major lepidopterous peach pest complex for Integrated pest management programs. Crop Protection, 29, 1190-1199.
    • (2010) Crop Protection , vol.29 , pp. 1190-1199
    • Damos, P.1    Savopoulou-Soultani, M.2
  • 30
    • 0003445977 scopus 로고
    • Insect dormancy: An ecological perspective
    • Biological Survey of Canada, Ottawa, Canada
    • Danks, H. V., (1987) Insect dormancy: An ecological perspective. Biological Survey of Canada, Ottawa, Canada.
    • (1987)
    • Danks, H.V.1
  • 31
    • 0000984477 scopus 로고
    • Stochastic Model of Insect: Estimation and Testing
    • Dennis, B., Kemp, P. W. and Beckwith C. (1986). Stochastic Model of Insect: Estimation and Testing. Environmental Entomology, 15, 540-546.
    • (1986) Environmental Entomology , vol.15 , pp. 540-546
    • Dennis, B.1    Kemp, P.W.2    Beckwith, C.3
  • 32
    • 0003965720 scopus 로고    scopus 로고
    • Insect Timing: Circadian Rhytmicity to Seasonality
    • Elsevier, New York
    • Denlinger, D. L., Giebultowiez, J. and Saunders D.S. (2001). Insect Timing: Circadian Rhytmicity to Seasonality. Elsevier, New York.
    • (2001)
    • Denlinger, D.L.1    Giebultowiez, J.2    Saunders, D.S.3
  • 34
    • 0010950119 scopus 로고
    • Eine neue Bestimmung der Moleküldimensionen
    • Inaugural-Dissertation, Universität Zürich, K. J. Wyss, Bern (1905); printed with some changes in Annalen der Physik (Leipzig)
    • Einstein, A. (1905). Eine neue Bestimmung der Moleküldimensionen, Inaugural-Dissertation, Universität Zürich, K. J. Wyss, Bern (1905); printed with some changes in Annalen der Physik (Leipzig), 19, (1906), 289-306.
    • (1905) , vol.19 , pp. 289-306
    • Einstein, A.1
  • 35
    • 84977586068 scopus 로고
    • Uber die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen
    • Einstein, A. (1905). Uber die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen. Annals of Physics, 17, 549-560.
    • (1905) Annals of Physics , vol.17 , pp. 549-560
    • Einstein, A.1
  • 36
    • 0036098418 scopus 로고    scopus 로고
    • A trade-off between diapause duration and fitness in female parasitoids
    • Ellers, J. and van Alpen, J. J. M., (2002). A trade-off between diapause duration and fitness in female parasitoids. Ecological Entomology, 27, 279-284.
    • (2002) Ecological Entomology , vol.27 , pp. 279-284
    • Ellers, J.1    van Alpen, J.J.M.2
  • 38
    • 40349083828 scopus 로고    scopus 로고
    • Timing is everything Phenological synchrony and population variability in leaf-chewing herbivores of Quercus
    • Forkner. E. R., Marquis, R.J., Lill, J. T. and Le Corff, J. (2008) Timing is everything Phenological synchrony and population variability in leaf-chewing herbivores of Quercus. Ecological Entomology, 33, 276-285.
    • (2008) Ecological Entomology , vol.33 , pp. 276-285
    • Forkner, E.R.1    Marquis, R.J.2    Lill, J.T.3    Le Corff, J.4
  • 40
    • 0004018481 scopus 로고
    • Stochastic differential equations
    • Berlin Heidelberg-New York: Springer
    • Gihman, I. I., Skorohod, A. V. (1972). Stochastic differential equations. Berlin Heidelberg-New York: Springer.
    • (1972)
    • Gihman, I.I.1    Skorohod, A.V.2
  • 41
    • 0004253974 scopus 로고
    • Probability and random processes
    • 2nd Edt., Clavedon Press, Oxford
    • Grimmett, G. R. (1992). Probability and random processes, 2nd Edt., Clavedon Press, Oxford.
    • (1992)
    • Grimmett, G.R.1
  • 42
    • 0021047711 scopus 로고
    • Diffusion models for the dispersal of insects near an attractive center
    • Helland I. S. (1983). Diffusion models for the dispersal of insects near an attractive center. Journal of Mathematical Biology, 18, 103-122.
    • (1983) Journal of Mathematical Biology , vol.18 , pp. 103-122
    • Helland, I.S.1
  • 43
    • 0031582488 scopus 로고    scopus 로고
    • A biased random walk model for the trajectories of swimming micro-organisms
    • Hill, N. A. and Häder, D. P. (1997). A biased random walk model for the trajectories of swimming micro-organisms. Journal of Theoretical Biology, 186, 503-526.
    • (1997) Journal of Theoretical Biology , vol.186 , pp. 503-526
    • Hill, N.A.1    Häder, D.P.2
  • 44
    • 37649030155 scopus 로고    scopus 로고
    • Phase transition in random walks with long-range correlations
    • Hod S. and Keshet. U. (2004). "Phase transition in random walks with long-range correlations", Physical Reviews. E, 70, p. 015104.
    • (2004) Physical Reviews. E , vol.70 , pp. 015104
    • Hod, S.1    Keshet, U.2
  • 45
    • 0024254407 scopus 로고
    • Multiple role of temperature during insect diapause: a review
    • Hodek, I. and Hodková M. (1988). Multiple role of temperature during insect diapause: a review. Entomologia Experimentalis et Applicata, 49, 53-165.
    • (1988) Entomologia Experimentalis et Applicata , vol.49 , pp. 53-165
    • Hodek, I.1    Hodková, M.2
  • 46
    • 0002985048 scopus 로고
    • On the dynamics of vegetation: Markov chains as models of succession
    • Hulst, R. (1979). On the dynamics of vegetation: Markov chains as models of succession. Vegetatio, 40, 3-14.
    • (1979) Vegetatio , vol.40 , pp. 3-14
    • Hulst, R.1
  • 47
    • 0002487299 scopus 로고
    • Markovian properties of forest succession
    • In: Ecology and Evolution of Communities. Harvard University Press, Massachusetts, USA
    • Horn, H. (1975). Markovian properties of forest succession. pages 196-211, In: Ecology and Evolution of Communities. Harvard University Press, Massachusetts, USA.
    • (1975) , pp. 196-211
    • Horn, H.1
  • 48
    • 84867894430 scopus 로고    scopus 로고
    • Introduction to Stochastic Models
    • Wiley, London
    • Iosifescu M., Limnios N., and Oprisan G. (2010). Introduction to Stochastic Models, Wiley, London.
    • (2010)
    • Iosifescu, M.1    Limnios, N.2    Oprisan, G.3
  • 49
    • 0004171561 scopus 로고
    • Brownian motion and stochastic calculus
    • 2nd Ed. Springer-Verlag, N.Y
    • Karatzas I. and Shreve S. E. (1991). Brownian motion and stochastic calculus. 2nd Ed. Springer-Verlag, N.Y.
    • (1991)
    • Karatzas, I.1    Shreve, S.E.2
  • 50
    • 0021085261 scopus 로고
    • Analyzing insect movement as a correlated random walk
    • Kareiva, P. M., and Shigesada N. (1983). Analyzing insect movement as a correlated random walk. Oecologia, 56, 234-238.
    • (1983) Oecologia , vol.56 , pp. 234-238
    • Kareiva, P.M.1    Shigesada, N.2
  • 51
    • 0027871521 scopus 로고
    • Modelling Markovian dependence in populations of Aralia nudicaulis
    • Kenkel, N. (1993). Modelling Markovian dependence in populations of Aralia nudicaulis. Ecology, 74, 1700-1706.
    • (1993) Ecology , vol.74 , pp. 1700-1706
    • Kenkel, N.1
  • 52
    • 0035419830 scopus 로고    scopus 로고
    • Succession in mixed boreal forest of Russia: Markov models and non-Markov effects
    • Korotkov, V., Logofet, D. and Loreau, M. (2001). Succession in mixed boreal forest of Russia: Markov models and non-Markov effects. Ecological Modelling, 142, 25-38.
    • (2001) Ecological Modelling , vol.142 , pp. 25-38
    • Korotkov, V.1    Logofet, D.2    Loreau, M.3
  • 53
    • 84858006934 scopus 로고
    • The Ecology of Insects Overwintering
    • Cambridge University Press, Cambridge
    • Leather, S. R., Walters K. F. A. and Ball, J. S. (1993). The Ecology of Insects Overwintering. Cambridge University Press, Cambridge.
    • (1993)
    • Leather, S.R.1    Walters, K.F.A.2    Ball, J.S.3
  • 54
    • 0005909007 scopus 로고
    • A Markovian approach to the study of heath vegetation dynamics
    • Legg, C. (1980). A Markovian approach to the study of heath vegetation dynamics. Bulletin de Ecologie, 11, 393-404.
    • (1980) Bulletin de Ecologie , vol.11 , pp. 393-404
    • Legg, C.1
  • 55
    • 0033385648 scopus 로고    scopus 로고
    • Model analysis of mountain pine beetle seasonality
    • Logan, J. A. and Bentz B. J. (1999). Model analysis of mountain pine beetle seasonality. Environmental Entomology, 28, 924-934.
    • (1999) Environmental Entomology , vol.28 , pp. 924-934
    • Logan, J.A.1    Bentz, B.J.2
  • 56
    • 0028891858 scopus 로고
    • Stability analysis of a non-homogenous Markovian landscape model
    • Li, B.-L. (1995). Stability analysis of a non-homogenous Markovian landscape model. Ecological Modelling, 82, 247-256.
    • (1995) Ecological Modelling , vol.82 , pp. 247-256
    • Li, B.-L.1
  • 57
    • 0022165304 scopus 로고
    • Markov models and succession: a test from a heathland in the Netherlands
    • Lippe, E., DeSmidt, J. and Glenn-Lewin, D. (1985). Markov models and succession: a test from a heathland in the Netherlands. Journal of Ecology, 73, 775-791.
    • (1985) Journal of Ecology , vol.73 , pp. 775-791
    • Lippe, E.1    DeSmidt, J.2    Glenn-Lewin, D.3
  • 58
    • 0034723982 scopus 로고    scopus 로고
    • The mathematics of Markov models: what Markov chains can really predict in forest successions
    • Logofet, D. and Lesnaya, E. (2000). The mathematics of Markov models: what Markov chains can really predict in forest successions. Ecological Modelling, 126, 258-298.
    • (2000) Ecological Modelling , vol.126 , pp. 258-298
    • Logofet, D.1    Lesnaya, E.2
  • 59
    • 0036321177 scopus 로고    scopus 로고
    • Ecophysiological consequences of variability in diapause intensity
    • Massaki, S., (2002) Ecophysiological consequences of variability in diapause intensity. European Journal of Entomolgy, 99, 143-154.
    • (2002) European Journal of Entomolgy , vol.99 , pp. 143-154
    • Massaki, S.1
  • 60
    • 12944286886 scopus 로고
    • Extension of the limit theorems of probability theory to a sum of variables connected in a chain
    • Reprinted in Appendix B of: R. Howard. Dynamic Probabilistic Systems, volume 1: Markov Chains. John Wiley and Sons, (1971)
    • Markov. A. A. (1907) "Extension of the limit theorems of probability theory to a sum of variables connected in a chain". Reprinted in Appendix B of: R. Howard. Dynamic Probabilistic Systems, volume 1: Markov Chains. John Wiley and Sons, (1971).
    • (1907)
    • Markov, A.A.1
  • 61
    • 0024898077 scopus 로고
    • Analyzing discrete movement data as a correlated random walk
    • McCulloch, C. E. and Cain M. L. (1989). Analyzing discrete movement data as a correlated random walk. Ecology, 70, 383-388.
    • (1989) Ecology , vol.70 , pp. 383-388
    • McCulloch, C.E.1    Cain, M.L.2
  • 62
    • 31044443304 scopus 로고    scopus 로고
    • Memory functions of the additive Markov chains: applications to complex dynamic systems
    • Melnyk S.S., Usatenko O.V., and Yampol'skii V.A. (2006). "Memory functions of the additive Markov chains: applications to complex dynamic systems", Physica A, 361, 405-415.
    • (2006) Physica A , vol.361 , pp. 405-415
    • Melnyk, S.S.1    Usatenko, O.V.2    Yampol'skii, V.A.3
  • 64
    • 84892052535 scopus 로고
    • Knowledge of numbers: a study of the Psychological Representation of the numbers 1-100
    • Univesrity of Amsterdam, The Netherlands
    • Milikowski, M. (1995). Knowledge of numbers: a study of the Psychological Representation of the numbers 1-100. Univesrity of Amsterdam, The Netherlands.
    • (1995)
    • Milikowski, M.1
  • 65
    • 33749255225 scopus 로고    scopus 로고
    • Applied stochastic modeling
    • Arnold, London
    • Morgan, B. J. T. (2000). Applied stochastic modeling, Arnold, London.
    • (2000)
    • Morgan, B.J.T.1
  • 66
    • 12144273097 scopus 로고    scopus 로고
    • Can coarse-graining introduce long-range correlations in a symbolic sequence?
    • Narasimhan S.L., Nathan J.A., and Murthy K.P.N. (2005). Can coarse-graining introduce long-range correlations in a symbolic sequence?, Europhysics Letters, 69, 22-28.
    • (2005) Europhysics Letters , vol.69 , pp. 22-28
    • Narasimhan, S.L.1    Nathan, J.A.2    Murthy, K.P.N.3
  • 67
    • 0003334526 scopus 로고
    • Diffusion and ecological problems: mathematical models
    • Berlin-Heidelberg-New York: Springer
    • Okubo, A. (1980). Diffusion and ecological problems: mathematical models. Biomathematics, vol. 10, Berlin-Heidelberg-New York: Springer.
    • (1980) Biomathematics , vol.10
    • Okubo, A.1
  • 68
    • 0343504478 scopus 로고
    • Models for age-specific interactions in a periodic environment
    • Oster, G. and Takahashi Y. (1974). Models for age-specific interactions in a periodic environment. Ecological Monographs, 44, 483-501.
    • (1974) Ecological Monographs , vol.44 , pp. 483-501
    • Oster, G.1    Takahashi, Y.2
  • 70
    • 85047366928 scopus 로고
    • Discontinuous Structure of Matter
    • Elsevier, Amsterdam
    • Perrin J.P. (1965). Discontinuous Structure of Matter, In: Nobel Lectures 1922-1941, Elsevier, Amsterdam.
    • (1965) Nobel Lectures 1922-1941
    • Perrin, J.P.1
  • 71
    • 0003805907 scopus 로고
    • Stochastic processes
    • Holden-day, Inc. San Fransisco, Calif
    • Parzen, E. (1962). Stochastic processes. Holden-day, Inc. San Fransisco, Calif.
    • (1962)
    • Parzen, E.1
  • 72
    • 0015380541 scopus 로고
    • A two-dimensional random-walk analysis of human granulocyte movement
    • Peterson S. C. and Noble P. B. (1972). A two-dimensional random-walk analysis of human granulocyte movement. Biophysical Journal, 12, 1048-1054.
    • (1972) Biophysical Journal , vol.12 , pp. 1048-1054
    • Peterson, S.C.1    Noble, P.B.2
  • 73
    • 0003778293 scopus 로고    scopus 로고
    • Stochastic Processes
    • 2nd Ed. John Wiley ans Sons. Inc. N.Y
    • Ross M. S. (1996). Stochastic Processes. 2nd Ed. John Wiley ans Sons. Inc. N.Y.
    • (1996)
    • Ross, M.S.1
  • 74
    • 65449177334 scopus 로고
    • Minitab: A Statistical Computing System for Students and Researchers
    • Ryan, T. A. and Joiner, B. L. (1973). Minitab: A Statistical Computing System for Students and Researchers. The American Statistician, 27, 222-225.
    • (1973) The American Statistician , vol.27 , pp. 222-225
    • Ryan, T.A.1    Joiner, B.L.2
  • 75
    • 0000898845 scopus 로고
    • An Analysis of Variance Test for Normality (Complete Samples)
    • Shapiro, S. S. and Wilk, M. B. (1965). An Analysis of Variance Test for Normality (Complete Samples). Biometrika, 52, 591-611.
    • (1965) Biometrika , vol.52 , pp. 591-611
    • Shapiro, S.S.1    Wilk, M.B.2
  • 76
    • 0033921246 scopus 로고    scopus 로고
    • Modeling diffusive spread in a heterogeneous population: a movement study with stream fish
    • Skalski, G.T., Gilliam, J.F., (2000). Modeling diffusive spread in a heterogeneous population: a movement study with stream fish. Ecology, 81, 1685-1700.
    • (2000) Ecology , vol.81 , pp. 1685-1700
    • Skalski, G.T.1    Gilliam, J.F.2
  • 77
    • 0009636209 scopus 로고
    • Random dispersal in theoretical populations
    • Skellam, J. G. (1951). Random dispersal in theoretical populations. Biometrika, 38, 196-218.
    • (1951) Biometrika , vol.38 , pp. 196-218
    • Skellam, J.G.1
  • 78
    • 0001952530 scopus 로고
    • Insect seasonality: diapause maintenance, termination, and post diapause development
    • Tauber, M. J., and Tauber C. A. (1976). Insect seasonality: diapause maintenance, termination, and post diapause development. Annual Review of Entomology, 21, 81-107.
    • (1976) Annual Review of Entomology , vol.21 , pp. 81-107
    • Tauber, M.J.1    Tauber, C.A.2
  • 79
    • 0004171133 scopus 로고
    • Seasonal adaptations of insects
    • Oxford University Press. New York
    • Tauber, M. J., Tauber C. A., and Masaki S. (1986). Seasonal adaptations of insects. Oxford University Press. New York.
    • (1986)
    • Tauber, M.J.1    Tauber, C.A.2    Masaki, S.3
  • 80
    • 0003004646 scopus 로고
    • A family of regression equations describing the density distribution of dispersing organisms
    • Taylor, R. A. J. (1980). A family of regression equations describing the density distribution of dispersing organisms. Nature, 286, 53-55.
    • (1980) Nature , vol.286 , pp. 53-55
    • Taylor, R.A.J.1
  • 81
    • 0030427861 scopus 로고    scopus 로고
    • Fracatal analyses of animal movement: A critique
    • Turchin, P. (1996). Fracatal analyses of animal movement: A critique. Ecology, 77, 2086-2090.
    • (1996) Ecology , vol.77 , pp. 2086-2090
    • Turchin, P.1
  • 82
    • 18344405033 scopus 로고
    • The Visual Display of Quantitative Information
    • Cheshire, CT: Graphics Press
    • Tufte, E. (1983). The Visual Display of Quantitative Information, Cheshire, CT: Graphics Press.
    • (1983)
    • Tufte, E.1
  • 83
    • 0042569120 scopus 로고    scopus 로고
    • The use of matrix models to detect natural and pollution-induced forest gradients
    • Tucker, B. and Anand, M. (2003). The use of matrix models to detect natural and pollution-induced forest gradients. Community Ecology, 4, 89-110.
    • (2003) Community Ecology , vol.4 , pp. 89-110
    • Tucker, B.1    Anand, M.2
  • 85
    • 0003854151 scopus 로고
    • Exploratory Data Analysis
    • Reading, MA: Addison Wesley
    • Tukey, J.W. (1977). Exploratory Data Analysis, Reading, MA: Addison Wesley.
    • (1977)
    • Tukey, J.W.1
  • 86
    • 84892043845 scopus 로고    scopus 로고
    • Diffusion and Brownian motion analogies in the migration of atoms, animals, men and ideas
    • "Diffusion Funtamentals", J. Kärger, F. Grinberg, P. Heitjans (Editors), Leipziger Universitätsverlag. International Conference "Diffusion Funtamentals I", Leipzig Sept. 2005
    • Vogl, G. (2005). Diffusion and Brownian motion analogies in the migration of atoms, animals, men and ideas. In: "Diffusion Funtamentals", J. Kärger, F. Grinberg, P. Heitjans (Editors), Leipziger Universitätsverlag. International Conference "Diffusion Funtamentals I", Leipzig Sept. 2005.
    • (2005)
    • Vogl, G.1
  • 87
    • 0001532110 scopus 로고
    • Transition probabilities for a forest
    • Waggoner, P. and Stephens, G. (1970). Transition probabilities for a forest. Nature, London 225, 1160-1161.
    • (1970) Nature, London , vol.225 , pp. 1160-1161
    • Waggoner, P.1    Stephens, G.2
  • 88
    • 0025805762 scopus 로고
    • Diffusion models for Chemotaxis: A statistical analysis of non interactive unicellular movement
    • Watkins, J. C. (1991). Diffusion models for Chemotaxis: A statistical analysis of non interactive unicellular movement. Mathematical Biosciences, 104, 271-303.
    • (1991) Mathematical Biosciences , vol.104 , pp. 271-303
    • Watkins, J.C.1
  • 89
    • 0014254846 scopus 로고
    • Probability Plotting Methods for the Analysis of Data
    • Wilk, M. B. and Gnanadisikan, R. (1968). Probability Plotting Methods for the Analysis of Data. Biometrika, 55, 1-17.
    • (1968) Biometrika , vol.55 , pp. 1-17
    • Wilk, M.B.1    Gnanadisikan, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.