Present address: Swiss Federal Institute of Aquatic Science and Technology, Eawag, Dübendorf, Switzerland
Quantification of neighbourhood-dependent plant growth by Bayesian hierarchical modelling
Article first published online: 25 NOV 2005
Journal of Ecology
Volume 94, Issue 2, pages 310–321, March 2006
How to Cite
SCHNEIDER, M. K., LAW, R. and ILLIAN, J. B. (2006), Quantification of neighbourhood-dependent plant growth by Bayesian hierarchical modelling. Journal of Ecology, 94: 310–321. doi: 10.1111/j.1365-2745.2005.01079.x
- Issue published online: 25 NOV 2005
- Article first published online: 25 NOV 2005
- Received 12 May 2005 revision accepted 20 September 2005 Handling Editor: Jacob Weiner
- Arabidopsis thaliana;
- Bayesian statistics;
- competition kernel;
- competitive asymmetry;
- Gompertz growth;
- local competition;
- Markov Chain Monte Carlo;
- spatial interactions
- 1The effects of neighbours on the growth of individual plants are fundamental to dynamics in plant populations and can be described by means of mathematical functions, so-called competition kernels, in formal spatiotemporal models. Little is known about the form and components such functions should have.
- 2We evaluate some properties of kernel functions using data on the growth of Arabidopsis thaliana plants in replicated, even-aged stands of many individuals. Because of the essential non-independence of plant growth in stands, we employed a Bayesian hierarchical modelling approach to estimate values and uncertainties of kernel parameters in location-dependent models of interacting plants.
- 3During the experiment plant size and a simple measure of neighbourhood crowding became strongly correlated, plants tending to be small where local crowding was intense, indicating that local competition was an important process in the growth of the plants.
- 4Competitive interactions between plants of different sizes were strongly asymmetric, the larger individual acquiring a disproportionately greater share of resources. Competition increased with plant size and attenuated rapidly at distances of a few centimetres, but the exact shape of the attenuation function was less important.
- 5Kernel functions with the same kind of structural features were similar in their predictive ability. However, a simple zone-of-influence model, based on overlap of pairs of individuals, with competition favouring the larger individual, was arguably the most parsimonious.
- 6Neighbourhood competition in stands of even-aged plants may be successfully captured with relatively simple kernel functions. The results should inform and enhance the formal theory of spatiotemporal plant population and community dynamics. Bayesian hierarchical modelling is a powerful tool with which to analyse complex, spatially dependent data, and has potential as a widely applicable statistical approach for plant ecology.