I am looking for one good paper that tells the equation for phenotypic plasticity index. I know what phenotypic plasticity means but willing to calculate its index in my soybean for quantitative traits ?
Arun, could you send to me the concept of phenotypic plasticity you are following because an index could be the stages of development based on the components of plant development.
The main difference between the two types of variability that Barbara is describing is that phenotypic plasticity means one genotype > different conditions > different phenotypes vs. biological variability as seen for one genotype > same conditions > (relatively slightly) different phenotypes. However, phenotypic plasticity can be positive, neutral or negative in respect to individual perofrmance, indicating different ourtcomes in respect to adaptivity. But the same, in fact, applies to fixity as opposed to plasticity.
And I am afraid that there is no universal plasticity index for plants, because the level of plasticity of different traits is usually different. You can use coefficient of variation for a particular trait of the genotype across various sets of environmental conditions.
A classic parameter is the "angular phenotypic change index (APCI)" ("Pigliucci M, Schlichting CD (1996) Reaction norms of Arabidopsis. IV. Relationships between plasticity and fitness. Heredity 76:427-436"). This methodology is based on Environment by environment biplots (E x E) which graphically represent the position of a genotype in the space defined by its mean phenotype under two environments.
You can find an easy description and an example about using E x E biplots and APCI in this paper in my profile: "de la Mata et al., 2014. Among population variation and plasticity to drought of Atlantic, Mediterranean and interprovenance hybrid populations of Maritime pine. Tree Genetics & Genomes 10: 1191-1203"
A colleague calculated it following these references:
Castro-Díez, P., Navarro, J., Pintado, A., Sancho, L.G., and Maestro, M. (2006) Interactive effects of shade and irrigation on the performance of seedlings of three Mediterranean Quercus species. Tree Physiology 26, 389–400.
Gratani, L., Meneghini, M., Pesoli, P., and Crescente, M.F. (2003) Structural and functional plasticity of Quercus ilex seedlings of different provenances in Italy. Oecologia 17, 515-521.
Valladares, F., Wright, S.J., Lasso, E., Kitajima, K., and Pearcy, R.W. (2000) Plastic phenotypic response to light of 16 congeneric shrubs from a Panamanian rainforest. Ecology 81, 1925-1936.
Valladares, F., Chico, J.M., Aranda, I., Balaguer, L., Dizengremel, P., Manrique, E., and Dreyer, E. (2002) Greater high light seedling tolerance of Quercus robur over Fagus sylvatica is linked to a greater physiological plasticity. Trees, structure and function 16, 395-403.
Valladares, F., Sanchez, D., and Zavala, M.A. (2006) Quantitative estimation of phenotypic plasticity. Journal of Ecology (in revision).