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Individual variability and mortality required for constant final yield in simulated plant populations

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Abstract

When plant monocultures are sown over a wide range of densities for a given period of time, the total biomass yield increases with density at low densities and then levels off at high densities, a phenomenon called constant final yield (CFY). There are several reported cases, however, where the total yield decreases at very high densities, but the reasons for such exceptions are not known. We used a spatially explicit, individual-based “field of neighborhood” simulation model to investigate the potential roles of spatial pattern, individual variation, and competitive stress tolerance for CFY. In the model, individual plants compete asymmetrically for light when their fields overlap, and this competition decreases growth and increases mortality. We varied (1) the initial size variation, (2) the spatial pattern, and (3) ability to survive intense competition and examined the effects on the density-biomass relationship. CFY was always observed when there was high variability among individuals, but not always when variability was low. This high size variation could be the result of high initial size variability or variation in the degree of local crowding. For very different reasons, very high and very low tolerance for competition resulted in decreasing total biomass at very high densities. Our results emphasize the importance of individual variation for population processes and suggest that we should look for exceptions to CFY in homogeneous, even-aged, regularly spaced populations such as plantations.

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References

  • Bagchi R, Swinfield T, Gallery RE, Lewis OT, Gipenger S, Narayan L, Freckleton RP (2010) Testing the Janzen-Connell mechanism: pathogens causes overcompensating density dependence in the a tropical tree. Ecol Lett 13:1262–1269

    Article  PubMed  Google Scholar 

  • Bazzaz FA, Harper JL (1976) Relationship between plant weight and numbers in mixed populations of Sinapis alba (L.) Rabenh. and Lepidium sativum L. J Appl Ecol 13:211–216

    Article  Google Scholar 

  • Berger U, Hildenbrandt H (2000) A new approach to spatially explicit modelling of forest dynamics: spacing, ageing and neighbourhood competition of mangrove trees. Ecol Model 132:287–302

    Article  Google Scholar 

  • Berger U, Hildenbrandt H, Grimm V (2004) Age-related decline in forest production: modelling the effects of growth limitation, neighbourhood competition and self-thinning. J Ecol 92:846–853

    Article  Google Scholar 

  • Berger U, Adams M, Grimm V, Hildenbrandt H (2006) Modelling secondary succession of neotropical mangroves: causes and consequences of growth reduction in pioneer species. Perspect Plant Ecol Evol Syst 7:243–252

    Article  Google Scholar 

  • Bleasdale JKA (1966) The effects of plant spacing on the yield of bulb onion (Allium cepa L.) grown from seed. J Hortic Sci 41:145–153

    Google Scholar 

  • Bonan GB (1991) Density effects on the size structure of annual plant populations: an indication of neighbourhood competition. Ann Bot 68:341–347

    Google Scholar 

  • Chu CJ, Maestre FT, Xiao S, Weiner J, Wang YS, Duan ZH, Wang G (2008) Biomass-density relationships in plant populations are determined by the balance between facilitation and resource competition. Ecol Lett 11:1189–1197

    PubMed  Google Scholar 

  • Chu CJ, Weiner J, Maestre FT, Xiao S, Wang YS, Li Q, Yuan JL, Zhao LQ, Ren ZW, Wang G (2009) Positive interactions can increase size inequality in plant populations. J Ecol 97:1401–1407

    Article  Google Scholar 

  • Farazdaghi H, Harris PM (1968) Plant competition and crop yield. Nature 217:289–290

    Google Scholar 

  • Fibich P, Lepš (2011) Do biodiversity indices behave as expected from traits of constituent species in simulated scenarios? Ecol Model 222:2049–2058

    Article  Google Scholar 

  • Grimm V, Railsback SF (2005) Individual-based modeling and ecology. University Press, Princeton

    Google Scholar 

  • Hara T, Wyszomirski T (1994) Competition asymmetry reduces spatial effects on size-structure dynamics in plant populations. Ann Bot 73:285–297

    Article  Google Scholar 

  • Kays S, Harper JL (1974) The regulation of plant and tiller density in a grass sward. J Ecol 62:97–105

    Article  Google Scholar 

  • Kotorova I, Leps J (1999) Comparative ecology of seedling recruitment in an oligotrophic wet meadow. J Veg Sci 10:175–186

    Article  Google Scholar 

  • Kristensen L, Olsen J, Weiner J (2008) Crop density, sowing pattern and nitrogen fertilization effects on weed suppression and yield in spring wheat. Weed Sci 56:97–102

    Article  CAS  Google Scholar 

  • Lepš J, Kindlmann P (1987) Models of development of spatial pattern of an even-aged plant population over time. Ecol Model 39:45–89

    Article  Google Scholar 

  • Li B, Watkinson AR, Hara T (1996) Dynamics of competition in populations of carrot (Daucus carota). Ann Bot 78:203–214

    Article  Google Scholar 

  • Miller TE, Weiner J (1989) Local density variation may mimic effects of asymmetric competition on plant size variability. Ecology 70:1188–1191

    Article  Google Scholar 

  • Pacala SA, Weiner J (1991) Effects of including competitive asymmetry in a local density model of plant interference. J Theor Biol 149:165–179

    Article  CAS  PubMed  Google Scholar 

  • Prach K (1982) Self-thinning processes in selected ruderal species populations. Preslia 54:271–275

    Google Scholar 

  • Pretzsch H (2003) The elasticity of growth in pure and mixed stands of Norway spruce (Picea abies L. Karst.) and common beech (Fagus sylvatica L.). J For Sci 49:491–501

    Google Scholar 

  • Rahman MM, Hossain MM (2011) Plant density effects on growth, yield and yield components of two soybean varieties under equidistant planting arrangement. Asian J Plant Sci 10:278–286

    Article  Google Scholar 

  • Reynolds JD (1950) Spacing trials with dried peas. Agriculture 56:527–537

    Google Scholar 

  • Rumpel J, Felczynski K (2000) Effect of plant density on yield and bulb size of direct sown onions. Acta Horticult 533:179–186

    Google Scholar 

  • Scaife MA, Jones D (1976) The relationship between crop yield (or mean plant weight) of lettuce and plant density, length of growing period, and initial plant weight. J Agric Sci 86:83–91

    Article  Google Scholar 

  • Shinozaki K, Kira T (1956) Intraspecific competition among higher plants. VII. Logistic theory of the C-D effect. J Inst Polytechnics Osaka City Univ 7:35–72

    Google Scholar 

  • Silvertown J, Charlesworth D (2001) Introduction to plant population biology. Blackwell, London

    Google Scholar 

  • Stachová T, Fibich P, Lepš J (2013) Plant density affects measures of biodiversity effects. J Plant Ecol 6:1–11

    Article  Google Scholar 

  • Stoker R (1975) Effect of plant population on yield garden peas under different moisture regimes. N Z J Exp Agric 3:333–337

    Google Scholar 

  • Stoll P, Weiner J, Muller-Landau H, Müller E, Hara T (2002) Size symmetry of competition alters biomass-density relations. Proc R Soc B 296:2191–2195

    Article  Google Scholar 

  • Symonides E (1983a) Population size regulation as a result of intra-population interactions 1. Effect of density on the survival and development of individuals of Erophila verna (L.). Ekologia Polska 31:839-882

  • Symonides E (1983b) Population size regulation as a result of intra-population interactions 2. Effect of density on the growth rate morphological diversity and fecundity of Erophila verna (L.). Ekologia Polska 31:883-912

    Google Scholar 

  • Taylor DR, Aarssen LW (1989) On the density dependence of replacement-series competition experiments. J Ecol 4:975–988

    Article  Google Scholar 

  • Uchmanski J (2000) Individual variability and population regulation: an individual-based model. Oikos 90:539–548

    Article  Google Scholar 

  • Weiner J, Freckleton R (2010) Constant final yield. Annu Rev Ecol Evol Syst 41:173–192

    Article  Google Scholar 

  • Weiner J, Thomas SC (1986) Size variability and competition in plant monocultures. Oikos 47:211–222

    Article  Google Scholar 

  • Weiner J, Thomas SC (1992) Competition and allometry in three species of annual plants. Ecology 73:648–656

    Article  Google Scholar 

  • Weiner J, Kinsman S, Williams S (1998) Modeling the growth of individuals in plant populations: local density variation in a strand population of Xanthium strumarium. Am J Bot 85:1638–1645

    Article  CAS  PubMed  Google Scholar 

  • Weiner J, Stoll P, Muller-Landau H, Jasentuliyana A (2001) The effects of density, spatial pattern and competitive symmetry on size variation in simulated plant populations. Am Nat 158:438–450

    Article  CAS  PubMed  Google Scholar 

  • Willey RW, Heath SB (1969) The quantitative relationships between plant population and crop yield. Adv Agron 24:281–322

    Article  Google Scholar 

  • Xue L, Hagihara A (2008) Density effects on organs in self-thinning Pinus densiflora Sieb. Et Zucc. stands. Ecol Res 23:689–695

    Article  Google Scholar 

  • Yahuza I (2011) Yield-density equations and their application for agronomic research: a review. Int J Biosci 1:1–17

    Google Scholar 

  • Yastrebov AB (1996) Different types of heterogeneity and plant competition in monospecific stands. Oikos 75:89–97

    Article  Google Scholar 

  • Yoda K, Kira T, Ogawa H, Hozumi K (1963) Self-thinning in overcrowded pure stands under cultivated and natural conditions. J Biol Osaka City Univ 14:107–129

    Google Scholar 

Download references

Acknowledgement

The study was supported by the grant GACR 13-17118S from the Grant Agency of the Czech Republic and the University of Copenhagen Program of Excellence. Access to computing and storage facilities owned by parties and projects contributing to the National Grid Infrastructure MetaCentrum provided under the program “Projects of Large Infrastructure for Research, Development, and Innovations” (LM2010005) is much appreciated.

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Correspondence to Pavel Fibich.

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Fibich, P., Lepš, J. & Weiner, J. Individual variability and mortality required for constant final yield in simulated plant populations. Theor Ecol 7, 263–271 (2014). https://doi.org/10.1007/s12080-014-0216-x

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