Theoretical considerations on the C-D effect in self-thinning plant populations

Researches on Population Ecology

Volumn 41, Issue 2, 1999, Pages 151-159

  Hagihara, Akio ^a  

^a UNIVERSITY OF THE RYUKYUS   (Japan)

Author keywords

General logistic equation; Law of constant final yield; Mean phytomass; Mortality; Population density; Reciprocal equation

Indexed keywords

EID: 0001156770     PISSN: 00345466     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101440050017     Document Type: Article

References (45)

1. Aikman DP, Watkinson AR (1980) A model for growth and self-thinning in even-aged monocultures of plants. Ann Bot 45:419-427
2. Ando T (1968) Ecological studies on the stand density control in even-aged pure stand (in Japanese with English summary). Bull Gov For Exp Stn 210:1-152
3. Ando T (1992) Forest management after thinning. In: Silviculture. Asakura-Shoten, Tokyo, pp 137-159 (in Japanese)
4. Begon M, Harper JL, Townsend CR (1996) Ecology: individuals, populations and communities. Blackwell, Oxford
5. Bleasdale JKA (1967) The relationship between the weight of a plant part and total weight as affected by plant density. J Hortic Sci 42:51-58
6. Bleasdale JKA, Neider JA (1960) Plant population and crop yield. Nature (Lond) 188:342
7. Charles-Edwards DA, Doley D, Rimmington GM (1986) Modelling plant growth and development. Academic Press, Sydney
8. Donald CM (1951) Competition among pasture plants. I. Intra-specific competition among annual plants. Aust J Agric Res 2:355-376
9. Drew TJ, Flewelling JW (1977) Some recent Japanese theories of yield-density relationships and their application to Monterey pine plantations. For Sci 23:517-534
10. Farazdaghi H, Harris PM (1968) Plant competition and crop yield. Nature (Lond) 217:289-290
11. Firbank LG, Watkinson AR (1985) A model of interference within plant monocultures. J Theor Biol 116:291-311
12. Firbank LG, Watkinson AR (1990) On the effects of competition: from monocultures to mixture. In: Grace JB, Tilman D (eds) Perspectives on plant competition. Academic Press, San Diego, pp 165-192
13. Harper JL (1977) Population biology of plants. Academic Press, London
14. Hozumi K (1973) Interactions among higher plants. Kyouritsu-Shuppan, Tokyo (in Japanese)
15. Hozumi K (1977) Ecological and mathematical considerations on self-thinning in even-aged pure stands. I. Mean plant weight-density trajectory during the course of self-thinning. Bot Mag Tokyo 90:165-179
16. Hozumi K (1980) Ecological and mathematical considerations on self-thinning in even-aged pure stands. II. Growth analysis of self-thinning. Bot Mag Tokyo 93:149-166
17. Hozumi K (1983) Ecological and mathematical considerations on self-thinning in even-aged pure stands. III. Effect of the linear growth factor on self-thinning and its model. Bot Mag Tokyo 96:171-191
18. Hozumi K, Asahira T, Kira T (1956) Intraspecific competition among higher plants. VI. Effect of some growth factors on the process of competition. J Inst Polytech Osaka City Univ D 7:15-34
19. Ikusima K, Shinozaki K, Kira T (1955) Intraspecific competition among higher plants. III. Growth of duckweed, with a theoretical consideration on the C-D effect. J Inst Polytech Osaka City Univ D 6:107-119
20. Kira T, Ogawa H, Sakazaki N (1953) Intraspecific competition among higher plants. I. Competition-yield-density interrelationship in regularly dispersed populations. J Inst Polytech Osaka City Univ D 4:1-16
21. Kira T, Ogawa H, Hozumi K, Koyama H, Yoda K (1956) Intraspecific competition among higher plants. V. Supplementary notes on the C-D effect. J Inst Polytech Osaka City Univ D 7:1-14
22. Minowa M (1982) A theoretical approach to forest growth model. I. The log-MITSCHERLICH theory (in Japanese with English summary). J Jpn For Soc 64:461-467
23. Naito K (1992) Studies on forest growth modeling (in Japanese with English summary). Bull Utsunomiya Univ For 28:1-95
24. Nelder JA (1962) New kinds of systematic designs for spacing experiments. Biometrics 18:283-307
25. Niklas KL (1994) Plant allometry: the scaling of form and process. University of Chicago Press, Chicago
26. Perry DA (1994) Forest ecosystems. John Hopkins University Press, Baltimore
27. Shibuya M (1994) Maximum yield and the C-D effects in natural white birch stands. Ecol Res 9:325-332
28. Shibuya M, Yajima T, Matsuda K (1997) A modified stand density control diagram for Japanese white birch based on a trend of mean volume-density relationships with stand growth (in Japanese with English summary). Res Bull Hokkaido Univ For 54:202-211
29. Shinozaki K (1953a) On the generalization of the logistic curve. I. General discussions (in Japanese). J Osaka City Med Sch 2:143-147
30. Shinozaki K (1953b) On the generalization of the logistic curve. II. Japanese population (in Japanese). J Osaka City Med Sch 2:259-264
31. Shinozaki K (1961) Logistic theory of plant growth. Doctoral thesis, Kyoto University, Kyoto (in Japanese)
32. Shinozaki K (1976) Effects of removal on a growing system (in Japanese with English summary). Physiol Ecol Jpn 17:101-107
33. Shinozaki K (1979) Density effect of plants. 3. Growth of yield (in Japanese). Chem Biol 17:536-538
34. Shinozaki K, Kira T (1956) Intraspecific competition among higher plants. VII. Logistic theory of the C-D effect. J Inst Polytech Osaka City Univ D 7:35-72
35. Shinozaki K, Kira T (1961) The C-D rule, its theory and practical uses. (Intraspecific competition among higher plants. X.) J Biol Osaka City Univ 12:69-82
36. Silvertown JW, Doust JL (1993) Introduction to plant population biology. Blackwell, Oxford
37. Tadaki Y (1996) Structure and productivity of young Castanopsis cuspidata forests growing in different stand densities (in Japanese with English summary). Bull Nagoya Univ For 14:1-24
38. Tadaki Y, Takeuchi I, Kawahara T, Sato A, Hatiya K (1979) Growth analysis on the natural stands of Japanese red pine (Pinus densiflora SIEB. et ZUCC.). III. Results of experiment (research note) (in Japanese). Bull For For Prod Res Inst 305:125-144
39. Thoranisorn S, Sahunalu P, Yoda K (1990) Density effects and self-thinning in even-aged pure stands of Eucalyptus camaldulensis Dehn. Bot Mag Tokyo 103:283-295
40. Vandermeer J (1984) Plant competition and yield-density relationship. J Theor Biol 109:393-399
41. Watkinson AR (1980) Density-dependence in single-species populations of plants. J Theor Biol 83:345-357
42. Watkinson AR (1986) Plant population dynamics. In: Crawley MJ (ed) Plant ecology. Blackwell, Oxford, pp 137-184
43. Watkinson AR (1997) Plant population dynamics. In: Crawley MJ (ed) Plant ecology, 2nd edn. Blackwell, Oxford, pp 359-400
44. Weller DE (1987) A reevaluation of the -3/2 power rule of plant self-thinning. Ecol Monogr 57:23-43
45. Yoda K, Kira T, Ogawa H, Hozumi K (1963) Self-thinning in over-crowded pure stands under cultivated and natural conditions. (Intraspecific competition among higher plants. XI.) J Biol Osaka City Univ 14:107-129