Modification and its application of generalized Schumacher model

Abstract

Abstract: Based on the concrete analysis on growth equations presented by others, a modified Schumacher growth equation was proposed as, which included Gompertz function, Schumacher equation and generalized Schumacher equation, and had stronger self-adaptability and practicality. The analytic character and adaptability of the modified Schumacher equation were analyzed. According to the genetic algorithms method, this model was used to fit the growth data of endangered plant of Tsuga longibracteata and Platycladus orientalis. The results showed that the modified Schumacher equation was not only better than Schumacher equation and generalized Schumacher equation significantly, but also better than classical Logistic model and Li's self-adaptive model. So it could be used to study the dynamics simulation for tree growth and dynamics law for population growth.

CLC Number:

S718.5

HONG Wei, WU Chengzhen, YAN Shujun. Modification and its application of generalized Schumacher model[J]. Chinese Journal of Applied Ecology, 2004, (2): 241-244.

References

[1] Brewer JA, Burns PY, Cao QV. 1985. Short-term projection accu racy of five asymptotic height-age curves for loblolly pine. For Sci,31(2): 414～418
[2] Food and Agriculture Organization of U N.(联合国粮农组织).1980. Forest volume estimation and yields predicting. Yields Predicting, 22(2): 917
[3] Holland JH. 1975. Adaptation in natural and artificial system. Ann Arbor: The University of Michigan Press. 39～234
[4] Han M-Z(韩铭哲). 1988. A study on mathematical model of population growth.J Neimonggu Univ(Nat Sci)(内蒙古大学学报),19(2):205～212(in Chinese)
[5] Huang J-B(黄晋彪),Zhang H-G(张海根).1990.Thetheory and fitting comparison of case on Logistic and Cui-Lawson model of population growth.Chin JApplEcol(应用生态学报),1(4):301～305 (in Chinese)
[6] Li F-R(李凤日). 1987. Studies on diameter distribution and models predicting yields for natural Dahurian larch stands. J Northeast For Univ(东北林业大学学报),15(4):8～16(in Chinese)
[7] Li F-R(李凤日).1993.Derivation and application of the generalized Schumacher growth equation.J Beijing For Univ(北京林业大学学报),15(3):148～153(in Chinese)
[8] Li X-Y(李新运),Zhao S-L(赵善伦),You Z-L(尤作亮),et al 1997. A self-adaptive model of population growth and its parameter estimation.Acta Ecol Sin(生态学报),17(3):310～316(in Chinese)
[9] Robertson GG. 1987. Parallel implementation of Genetic Algorithms in a classifier system. In: DavisL ed. Genetic Algorithms and Simulating Annealing. San Mateo, CA: Morgan Kanfman Publishers.129～ 140
[10] Wang B-N(王本楠). 1987. Samples of explicit solution and fitting of Cui-Lawson' s single population growth model. Chin J Ecol ( 生态学杂志),6(2):27～30(in Chinese)
[11] Wu C-Z(吴承祯),Hong W(洪伟).1998.A study on density optimum control during stand management for plantation. J Nat Resour(自然资源学报),13(2):175～180(in Chinese)
[12] Wu C-Z(吴承祯),Hong W(洪伟).1997.An improved method of afforestation planning and design under restricted conditions using the genetic algorithm Sci Silvae Sin(林业科学),33(2):133～141(in Chinese)
[13] Wu C-Z(吴承祯),Hong W(洪伟).1997.Quantitative characteristics of rare and endangered Castanopsis kawakamii population.Chin JAppl Ecol(应用生态学报),11(2):173～176(in Chinese)
[14] Wu C-Z(吴承祯),Hong W(洪伟).1999.Multidimensionaltime series analysis ontree growth.Chin J Appl Ecol(应用生态学报),10(4):395～398(in Chinese)
[15] Wu C-Z(吴承祯),Hong W(洪伟),liang Z-L(姜志村).2001.Simulation of Cunninghamia lancealata growthing by wave-type time series analysis.Chin J Appl Ecol(应用生态学报),12(5):695～662(in Chinese)
[16] Yan X-D(延晓冬),Zhao S-D(赵士洞).1991.The optimized method of estimation parameters for Cui-Lawson and Logistic equation.Chin J Appl Ecol(应用生态学报),2(3):275～279(in Chinese)
[17] You Z-L(尤作亮),Zhou G-Y(周光裕).1992.Studies in the population and communiw characteristics in Platyclandus orientalis forest.ActaBot Sin(植物学报),34(1):66～75(jn Chinese)
[18] Zhang H-B(章浩白).1994.Forest in Fujian.Beijing:Chinese Forestry Press.107～116(in Chinese)