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Published online 1 January 2005
Published in Crop Sci 45:209-220 (2005)
© 2005 Crop Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
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Root-Zone Salinity

I. Selecting a Product–Yield Index and Response Function for Crop Tolerance

H. Steppuhna,*, M. Th. van Genuchtenb and C. M. Grievec

a Semiarid Prairie Agricultural Research Centre, Agriculture and Agri-Food Canada, Box 1030, Swift Current, SK, Canada S9H 3X2
b Soil Physics/Pesticide Unit, George E. Brown, Jr. Salinity Laboratory, Agricultural Research Service, U.S. Department of Agriculture, Riverside, CA
c Plant Sciences Group, George E. Brown, Jr. Salinity Laboratory, Agricultural Research Service, U.S. Department of Agriculture, Riverside, CA


Figure 1
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Fig. 1. Simple linear response function, Yr = ab(C), applied to the Biggar spring wheat data.

 

Figure 2
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Fig. 2. Modified Weibull response function, Yr = exp[a(Cb)], applied to the Biggar spring wheat data.

 

Figure 3
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Fig. 3. Bi-exponential response function, Yr = exp[aCb(C2)], applied to the Biggar spring wheat data.

 

Figure 4
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Fig. 4. Modified Gompertz response function, Yr = 1 – exp[a exp(bC)], applied to the Biggar spring wheat data.

 

Figure 5
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Fig. 5. Three-piece linear (threshold slope) response function; Yr = 1.0, Yr = 1 – b(CCt), Yr = 0.0, applied to the Biggar spring-wheat data.

 

Figure 6
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Fig. 6. Modified discount response function, Yr = 1/[1 + (C/C50)exp(sC50)], applied to the Biggar spring wheat data.

 

Figure 7
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Fig. 7. Relative crop yield from the modified discount function, Yr = 1/[1+(C/C50)exp(sC50)], with relative root-zone salinity for C50 = 10 dS m–1 and a wide range of values for s.

 

Figure 8
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Fig. 8. Change in relative crop yield ({triangleup}Yr) as a function of relative root-zone salinity (C/C50) for four unit changes in parameter (s) using the modified discount function.

 

Figure 9
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Fig. 9. Differences in relative crop yield (Yr) derived from the modified discount function with increasing C50–salinity and constant s (s = 0.11) for three sets of changes in root-zone salinity (C) from 1 to 10, 5 to 15, and 10 to 20 dS m–1.

 





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