Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 3 doc
Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 3 doc
... Probability and some statistics
Chapter 3
Probability and some statistics
In the January 20 03 issue of Trends in Ecology and Evolution, Andrew
Read (Read 20 03) reviewed two books on modern statistical methods
(Crawley ... l ¼Np (for which we set t ¼1 implicitly).
Random search with depletion
In many situations in ecology and evolutionary biology, we deal with
random s...
Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 8 docx
... 0.41 0
2 0 .32 8 0.21
3 0.252 0 .39
4 0.182 0.95
5 0.142 1 .32
6 0.085 1.48
7 0.057 2.45
8 0. 031 3. 78
9 0.021 2.56
10 0.014 4.07
11 0.005 3. 76
12 0.005 3
13 0.002 2
14 0.002 0
(a) Compute R
0
and use ... the lit-
erature can be found in Mangel and Tier (19 93, 1994), Young (1994),
Root (1998), and Wilcox and Elderd (20 03) .
Ceilings and the distribution of extinction ti...
Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 1 potx
... undergraduates,
graduate students, post-docs, and even those beyond) who wants to
develop the intuition and skills required for reading the literature in
theoretical and mathematical biology and for doing work in ... University of Oxford). (c) Foraging seabirds on New Brighton Beach,
California, face diet choice and patch leaving problems.
Foraging in patchy environments 3
B...
Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 2 pptx
... is abso-
lutely essential for your understanding of the material. The steady states
of the differential equation (2 .32 ) satisfy x
3
x ¼. In Figure 2.13a,
I plotted the curve y ¼x
3
x and the ... Eq. (2.22) and write
r ¼ lim
t!1
1
t
E log
NðtÞ
Nð0Þ
(2: 23)
This formula is useful when dealing with data and when using simula-
tion models (for a nice example, see Easterl...
Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 4 pot
... al. 19 83) and behavior (Olson and
Andow 1997); and patch-leaving behavior (Hemerik et al. 19 93,
Rosenheim and Mangel 1994, Vos et al. 1998, Wajnberg et al. 2000,
van Alphen et al. 20 03) . Stochastic ... for s ! s
Ã
(4 :33 b)
and solution of these equations will tell us the within-season population
dynamics of hosts, given the behavior of the parasitoids.
Equations (4 .33 ) are...
Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 5 ppt
...
M
M
T
(5 :33 )
and we now work with variables h(t) and m(t) denoting the fraction of
infected humans and fraction of infected mosquitoes respectively. From
Eqs. (5 .32 ) and (5 .33 ), the dynamics ... al.
2002, Gardner and Thomas 2002, Rolff and Siva-Jothy 2002, 20 03,
Wegner et al. 20 03) . Shudo and Iwasa (2001) treat this question as a
form of inducible defense (also se...
Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 6 pot
... Catch (thousands of tons)
1965 1.78 94
1966 1 .31 212
1967 0.91 195
1968 0.96 38 3
1969 0.88 32 0
1970 0.9 402
1971 0.87 36 6
1972 0.72 606
19 73 0.57 37 8
1974 0.45 31 9
1975 0.42 30 9
1976 0.42 38 9
1977 ... of fishing effort E and the effectiveness, q, of that eff ort in
r (per year) T (8C)
0. 23 1.75
0.17 0.0
0.27 1.75
0.2 1.0
0 .31 2.5
0.15 1.75
0 .36 3. 75
0 .36 3. 76
0.6 8...
Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 7 pptx
... 910
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6
(a)
X(t )
t
t
0
1 2 3 4 5 6 7 8 910
2.8
3
3.2
3. 4
3. 6
3. 8
4
4.2
4.4
(c)
X(t )
t
0
1 2 3 4 5 6 7 8 910
3
3.5
4
(b)
4.5
X(t )
0
1 2 3 4 5 6 7 8 910
2.5
3
3.5
4
4.5
5
(d)
5.5
t
X(t
... 0.15 0.2 0.25 0 .3 0 .35
–5
–4
3
–2
–1
0
1
2
3
4
×10
3
t
Y(t )
Figure 7.12. Five trajectories of
the Ornstein–Uhlenbeck
process, simulated for ¼0....
Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - References pdf
... Yield) 238
Euler–Lotka equation of population demography 31 1 31 4,
31 9 32 0
events 81–84, 85
evolutionary theory
biodemography 31 1 31 4, 31 9 32 0
escape from a domain of attraction 285–287, 31 7, 31 9
punctuated ... environments 31 36
population growth in fluctuating environments 31 36 ,
73 74
predation and random search 20 – 23, 24
two-dimensional 48–58
diffusion
and exp...
applied quantitative methods for trading and investment- dunis 2003
... filling methods for missing data 38 5
13. 4 Empirical results 39 3
13. 5 Concluding remarks 39 5
Appendix A 39 6
Appendix B 39 7
References 39 8
Index 401
18 Applied Quantitative Methods for Trading and ... −0.028997 0. 037 436 −0.774561 0. 438 7
MA(1) −0.000884 0. 038 411 −0.0 230 12 0.9816
MA (3) −0.015096 0.026 538 −0.568 839 0.5696
MA(6) −0.014584 0.0260 53 −0.559792 0...
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