Intraspecific Competition.

More documents

Recommendations

Info

14. Incorporation of variable density dependence with b: • A more realistic model of competition that incorporates a range of competitive regulation was derived by Maynard Smith & Slatkin (1973) in which they simply added the slope b of the k-value plotted against log initial density: • Nt+1 = NtR/1+(aNt ) b • in which b is the slope of mortality (k) against population size (log10Nt ) and, • a substitutes for (R-1)/K as before (see Figs. 5.21 & 6.26 for real data). • Also generates realistic ranges of population fluctuations (Fig. 5.22). --- equation 5.18 (p.148) BIOS 6150: Ecology - Dr. S. Malcolm. Week 3: Intraspecific Competition Slide - 14
15. Continuous breeding - the logistic equation: • The model above was for discrete time steps described by a “difference” equation. • For continuously breeding populations (birth and death continuous) we need a continuous form of the model using a “differential” equation. • So for exponential population increase the rate of population increase is dN/dt and this speed of change is described in the absence of competition by: • dN/dt = rN • where r is the intrinsic rate of natural increase which is lnR or lnR o /T • So the continuous equivalent to Fig. 5.18 is shown in Fig. 5.23 and this is the differential form of the difference equation N t = N o R t BIOS 6150: Ecology - Dr. S. Malcolm. Week 3: Intraspecific Competition Slide - 15
Page 1 and 2: BIOS 6150: Ecology Dr. Stephen Malc
Page 3 and 4: 3. Definition of Competition: •
Page 5 and 6: 5. Extremes of intraspecific compet
Page 7 and 8: 7. Density dependence: • Competit
Page 9 and 10: 9. Density dependent growth: • In
Page 11 and 12: 11. Discrete breeding season model
Page 13: 13. Density dependence of the model
Page 17 and 18: 17. Asymmetrical competition: • L
Page 19 and 20: Figure 5.2: Survivorship of red dee
Page 21 and 22: Figure 5.4: Exact compensation in t
Page 23 and 24: Figure 5.7: Density dependent birth
Page 25 and 26: Figure 5.11: Examples of S-shaped p
Page 27 and 28: Figure 5.12: Effects of intraspecif
Page 29 and 30: Figure 5.15: Intraspecific competit
Page 31 and 32: Figure 2.3: (Hassell, 1976) BIOS 61
Page 33 and 34: Figure 5.18: Difference equation mo
Page 35 and 36: Figure 6.26 (3 rd ed.): Equation 5.
Page 37 and 38: Figure 5.23: Exponential and sigmoi
Page 39: Figure 5.27: Root vs shoot competit

Intraspecific Competition.

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?