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Volumn 323, Issue , 2013, Pages 76-89

Optimal life schedule with stochastic growth in age-size structured models: Theory and an application

Author keywords

Demographic model; Euler Lotka equation; Path integral; Semelparity; Stochastic differential equation

Indexed keywords

BODY SHAPE; BODY SIZE; FITNESS; GROWTH RATE; LIFE HISTORY; MATHEMATICAL ANALYSIS; NUMERICAL MODEL; OPTIMIZATION; POPULATION DYNAMICS; POPULATION GROWTH; REPRODUCTIVE BEHAVIOR; STOCHASTICITY;

EID: 84874482559     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2013.01.020     Document Type: Article
Times cited : (13)

References (44)
  • 1
    • 40549093644 scopus 로고    scopus 로고
    • Derivation of stochastic partial differential equations
    • Allen E. Derivation of stochastic partial differential equations. Stochastic Anal. Appl. 2008, 26(2):357-378.
    • (2008) Stochastic Anal. Appl. , vol.26 , Issue.2 , pp. 357-378
    • Allen, E.1
  • 2
    • 79955392428 scopus 로고    scopus 로고
    • Derivation of stochastic partial differential equations for size-and age-structured populations
    • Allen E. Derivation of stochastic partial differential equations for size-and age-structured populations. J. Biol. Dyn. 2009, 3(1):73-86.
    • (2009) J. Biol. Dyn. , vol.3 , Issue.1 , pp. 73-86
    • Allen, E.1
  • 4
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • Black F., Scholes M. The pricing of options and corporate liabilities. J. Political Econ. 1973, 637-654.
    • (1973) J. Political Econ. , pp. 637-654
    • Black, F.1    Scholes, M.2
  • 6
    • 84874480228 scopus 로고    scopus 로고
    • Path Integral Methods for Stochastic Differential Equations. Arxiv Preprint.
    • Chow, C., Buice, M., Path Integral Methods for Stochastic Differential Equations. Arxiv Preprint http://arxiv:1009.5966.
    • Chow, C.1    Buice, M.2
  • 7
    • 33645529165 scopus 로고    scopus 로고
    • Integral projection models for species with complex demography
    • Ellner S., Rees M. Integral projection models for species with complex demography. Am. Nat. 2006, 167(3):410-428.
    • (2006) Am. Nat. , vol.167 , Issue.3 , pp. 410-428
    • Ellner, S.1    Rees, M.2
  • 8
    • 33846676451 scopus 로고    scopus 로고
    • Stochastic stable population growth in integral projection models. theory and application
    • Ellner S., Rees M. Stochastic stable population growth in integral projection models. theory and application. J. Math. Biol. 2007, 54(2):227-256.
    • (2007) J. Math. Biol. , vol.54 , Issue.2 , pp. 227-256
    • Ellner, S.1    Rees, M.2
  • 9
    • 0000572783 scopus 로고
    • On the integral equation of renewal theory
    • Feller W. On the integral equation of renewal theory. Ann. Math. Stat. 1941, 243-267.
    • (1941) Ann. Math. Stat. , pp. 243-267
    • Feller, W.1
  • 11
    • 0000410252 scopus 로고
    • Functional-calculus approach to stochastic differential equations
    • Fox R.F. Functional-calculus approach to stochastic differential equations. Phys. Rev. A 1986, 33:467-476. http://dx.doi.org/10.1103/PhysRevA.33.467.
    • (1986) Phys. Rev. A , vol.33 , pp. 467-476
    • Fox, R.F.1
  • 12
    • 38849138903 scopus 로고    scopus 로고
    • Life span correlates with population dynamics in perennial herbaceous plants
    • García M., Picó F., Ehrlén J. Life span correlates with population dynamics in perennial herbaceous plants. Am. J. Bot. 2008, 95(2):258-262.
    • (2008) Am. J. Bot. , vol.95 , Issue.2 , pp. 258-262
    • García, M.1    Picó, F.2    Ehrlén, J.3
  • 14
    • 0007186197 scopus 로고
    • Path integrals for Fokker-Planck equation described by generalized random walks
    • Hara H. Path integrals for Fokker-Planck equation described by generalized random walks. Z. Phys. B Condens. Matter 1981, 45(2):159-166.
    • (1981) Z. Phys. B Condens. Matter , vol.45 , Issue.2 , pp. 159-166
    • Hara, H.1
  • 15
    • 0024932643 scopus 로고
    • Optimal growth schedule of a perennial plant
    • Iwasa Y., Cohen D. Optimal growth schedule of a perennial plant. Am. Nat. 1989, 480-505.
    • (1989) Am. Nat. , pp. 480-505
    • Iwasa, Y.1    Cohen, D.2
  • 16
    • 0002154287 scopus 로고
    • Shoot/root balance of plants. optimal growth of a system with many vegetative organs
    • Iwasa Y., Roughgarden J. Shoot/root balance of plants. optimal growth of a system with many vegetative organs. Theor. Popul. Biol. 1984, 25(1):78-105.
    • (1984) Theor. Popul. Biol. , vol.25 , Issue.1 , pp. 78-105
    • Iwasa, Y.1    Roughgarden, J.2
  • 17
    • 18444368761 scopus 로고
    • On distributions of certain wiener functionals
    • Kac M. On distributions of certain wiener functionals. Trans. Am. Math. Soc. 1949, 65(1):1-13.
    • (1949) Trans. Am. Math. Soc. , vol.65 , Issue.1 , pp. 1-13
    • Kac, M.1
  • 20
    • 49649128836 scopus 로고    scopus 로고
    • Demography of perennial grassland plants. survival, life expectancy and life span
    • Lauenroth W., Adler P. Demography of perennial grassland plants. survival, life expectancy and life span. J. Ecol. 2008, 96(5):1023-1032.
    • (2008) J. Ecol. , vol.96 , Issue.5 , pp. 1023-1032
    • Lauenroth, W.1    Adler, P.2
  • 21
    • 0017300809 scopus 로고
    • Life histories as adaptive strategies
    • Leon J. Life histories as adaptive strategies. J. Theor. Biol. 1976, 60(2):301-335.
    • (1976) J. Theor. Biol. , vol.60 , Issue.2 , pp. 301-335
    • Leon, J.1
  • 22
    • 0000059373 scopus 로고
    • A characterization of the generalized inverse Gaussian distribution by continued fractions
    • Letac G., Seshadri V. A characterization of the generalized inverse Gaussian distribution by continued fractions. Probab. Theory Relat. Fields 1983, 62(4):485-489.
    • (1983) Probab. Theory Relat. Fields , vol.62 , Issue.4 , pp. 485-489
    • Letac, G.1    Seshadri, V.2
  • 26
    • 84871808124 scopus 로고    scopus 로고
    • Partial Differential Equations: With Fourier Series and Boundary Value Problems
    • Nakhle, H. Partial Differential Equations: With Fourier Series and Boundary Value Problems, 2005.
    • (2005)
    • Nakhle, H.1
  • 28
    • 0025462369 scopus 로고
    • A general stochastic maximum principle for optimal control problems
    • Peng S. A general stochastic maximum principle for optimal control problems. SIAM J. Control Optim. 1990, 28:966.
    • (1990) SIAM J. Control Optim. , vol.28 , pp. 966
    • Peng, S.1
  • 29
    • 0031892845 scopus 로고    scopus 로고
    • Patterns of variance in stage-structured populations. evolutionary predictions and ecological implications
    • Pfister C. Patterns of variance in stage-structured populations. evolutionary predictions and ecological implications. Proc. Nat. Acad. Sci. 1998, 95(1):213.
    • (1998) Proc. Nat. Acad. Sci. , vol.95 , Issue.1 , pp. 213
    • Pfister, C.1
  • 30
    • 33845734948 scopus 로고    scopus 로고
    • On some recent aspects of stochastic control and their applications
    • Pham H., et al. On some recent aspects of stochastic control and their applications. Probab. Surv. 2005, 2(506-549):1-2.
    • (2005) Probab. Surv. , vol.2 , Issue.506-549 , pp. 1-2
    • Pham, H.1
  • 31
    • 77749297934 scopus 로고    scopus 로고
    • Matrix projection models meet variation in the real world
    • Salguero-Gómez R., De Kroon H. Matrix projection models meet variation in the real world. J. Ecol. 2010, 98(2):250-254.
    • (2010) J. Ecol. , vol.98 , Issue.2 , pp. 250-254
    • Salguero-Gómez, R.1    De Kroon, H.2
  • 33
    • 0001296184 scopus 로고
    • A new model for age-size structure of a population
    • Sinko J., Streifer W. A new model for age-size structure of a population. Ecology 1967, 910-918.
    • (1967) Ecology , pp. 910-918
    • Sinko, J.1    Streifer, W.2
  • 34
    • 0001551017 scopus 로고
    • Passage from an initial unstable state to a final stable state
    • Suzuki M. Passage from an initial unstable state to a final stable state. Adv. Chem. Phys 1981, 46:195-278.
    • (1981) Adv. Chem. Phys , vol.46 , pp. 195-278
    • Suzuki, M.1
  • 35
    • 0008601437 scopus 로고
    • The relationship between the transition matrix model and the diffusion model
    • Takada T., Hara T. The relationship between the transition matrix model and the diffusion model. J. Math. Biol. 1994, 32(8):789-807.
    • (1994) J. Math. Biol. , vol.32 , Issue.8 , pp. 789-807
    • Takada, T.1    Hara, T.2
  • 36
    • 0016031866 scopus 로고
    • Natural selection of life history attributes. an analytical approach
    • Taylor H., Gourley R., Lawrence C., Kaplan R. Natural selection of life history attributes. an analytical approach. Theor. Popul. Biol. 1974, 5(1):104-122.
    • (1974) Theor. Popul. Biol. , vol.5 , Issue.1 , pp. 104-122
    • Taylor, H.1    Gourley, R.2    Lawrence, C.3    Kaplan, R.4
  • 38
    • 0000598079 scopus 로고
    • Population dynamics in variable environments. II. Correlated environments, sensitivity analysis and dynamics
    • Tuljapurkar S. Population dynamics in variable environments. II. Correlated environments, sensitivity analysis and dynamics. Theor. Popul. Biol. 1982, 21(1):114-140.
    • (1982) Theor. Popul. Biol. , vol.21 , Issue.1 , pp. 114-140
    • Tuljapurkar, S.1
  • 39
    • 49049135281 scopus 로고
    • Population dynamics in variable environments. III. Evolutionary dynamics of r-selection
    • Tuljapurkar S. Population dynamics in variable environments. III. Evolutionary dynamics of r-selection. Theor. Popul. Biol. 1982, 21(1):141-165.
    • (1982) Theor. Popul. Biol. , vol.21 , Issue.1 , pp. 141-165
    • Tuljapurkar, S.1
  • 40
    • 0000051212 scopus 로고
    • Population dynamics in variable environments I. Long-run growth rates and extinction
    • Tuljapurkar S., Orzack S. Population dynamics in variable environments I. Long-run growth rates and extinction. Theor. Popul. Biol. 1980, 18(3):314-342.
    • (1980) Theor. Popul. Biol. , vol.18 , Issue.3 , pp. 314-342
    • Tuljapurkar, S.1    Orzack, S.2
  • 41
    • 0001302407 scopus 로고
    • Statistical properties of inverse Gaussian distributions. I
    • Tweedie M. Statistical properties of inverse Gaussian distributions. I. Ann. Math. Stat. 1957, 28(2):362-377.
    • (1957) Ann. Math. Stat. , vol.28 , Issue.2 , pp. 362-377
    • Tweedie, M.1
  • 42
    • 0001302407 scopus 로고
    • Statistical properties of inverse Gaussian distributions. II
    • Tweedie M. Statistical properties of inverse Gaussian distributions. II. Ann. Math. Stat. 1957, 696-705.
    • (1957) Ann. Math. Stat. , pp. 696-705
    • Tweedie, M.1
  • 44
    • 77749279718 scopus 로고    scopus 로고
    • Integral projection models for trees. a new parameterization method and a validation of model output
    • Zuidema P., Jongejans E., Chien P., During H., Schieving F. Integral projection models for trees. a new parameterization method and a validation of model output. J. Ecol. 2010, 98(2):345-355.
    • (2010) J. Ecol. , vol.98 , Issue.2 , pp. 345-355
    • Zuidema, P.1    Jongejans, E.2    Chien, P.3    During, H.4    Schieving, F.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.