A theory for determining optimum planting and breeding zones is described. The theory is based on a model consisting of Gaussian response functions for traits that vary in a gradient for a single environmental variable. Environments are assumed to be normally distributed with known mean and variance. Methods are presented for determining parameters of response functions that maximize the expected value for such a trait when two, three and four populations are selected for breeding or as sources of propagules. Expected value is maximized only when the populations selected have response functions symmetrically arrayed about the mean of the environmental variable. Maximum expected value was shown to increase with increasing number of selected populations at a rate that depends upon the ratio of homostasis to environmental variability. The methods presented are illustrated with data on performance of Scots pine provenances in Sweden.
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Christiansen FB, Fenchel TM (1977) Theories of populations in biological communities. Ecological studies, vol. 20. Springer, Berlin Heidelberg New York, p 144
Clausen KE (1984) Nonlinear regressions and contour plots: techniques for selection and transfer of white ash provenances. For Sci 30:441–453
Comstock RE (1977) Quantitative genetics and the design of breeding programs. In: Pollak E, Kempthorne O, Bailey TB Jr (eds) Proc Int Conf Quant Genet, The Iowa State University Press, Ames/IA, pp 705–718
Eriksson G, Andersson S, Eiche V, Persson A (1980) Severity index and transfer effects on survival and volume production of Pinus sylvestris in northern Sweden. Stud For Suec 156:1–32
Knight R (1973) The relation between hybrid vigour and genotype-environment interactions. Theor Appl Genet 43: 311–318
Namkoong G (1969) Nonoptimality of local races. In: Proc 10th Conf For Tree Improv, Texas A + M University Press, College Station/TX, pp 149–153
Namkoong G (1976) A multiple-index selection strategy. Silvae Genet 25:199–201
Raymond CA, Lindgren D (1986) A model for genetic flexibility. In: Proc Frans Kempe Symp, Umea, Sweden, pp 169–177
Raymond CA, Lindgren D (1988) Genetic flexibility. A model for determining the range of suitable environments for a seed source. Silvae Genet (in press)
Rehfeldt GE (1979) Ecological adaptions in Douglas-fir (Pseudotsuga Menziesii var. glauca) populations. I. North Idaho and north-east Washington. Heredity 43:383–397
Roberds J, Namkoong G (1986) Maximization of expected value for a trait in an environmental gradient. In: Proc 9th North American For Biol Workshop, Oklahoma State University, Stillwater/OK, pp 177–186
Wright S (1968) Evolution and genetics of populations. Vol 1. University of Chicago PressChicago p469
Paper No. 11750 of the Journal Series of the North Carolina Agricultural Research Service, Raleigh, NC 27695-7601
Communicated by P.M.A. Tigerstedt
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Roberds, J.H., Namkoong, G. Population selection to maximize value in an environmental gradient. Theoret. Appl. Genetics 77, 128–134 (1989). https://doi.org/10.1007/BF00292327
- Response function
- Genotype-environment interaction
- Seed transfer zones
- Breeding zones
- Scots pine