M7116 Maticové populační modely
Populace strukturovaná do dvou stadií
9.3.2015
0
to
O
Ci h-1
00
o
CO
h-1
00
o
CO
<2
to
o
to
+
is
proportion size
Rostoucí iteroparní populace
niVt+i)=(<Ti(1_7) ^Vni
n2J V    cri7       cr2y Vn2
t     —   8     t — <7l    —    g,   CT2   — Q
1-7
= l,<p = l
A
0 1
8 2
9 3
(t)
o -
~i-r
2 3
/
"1-1-1-1-1-T
0      1      2      3      4 5
i-r
Ai = 1.33333,
A2 =
A3 =
ví -
A2    -0.66667, v2
0.42857 0.57143
0.6 -0.4
0.88889 1.33333
0.59259 1.33333
0.59259 1.33333^
1.18519 1.48148
■oTll    o—oTi2    o—077,1 + TÍ2 °—°Ql\\
i-r
t
t
Stabilizovaná iteroparní populace (1)
niVt+i) = (<Tl(1_7) ^
Cl  —   g, CT2 — q
1-7
A =
\
i,
o......g^-O—o—o—o—o
v
Ho'
n-1-1-1-1-1-1-r
0     1      2     3     4     5     6 7
O-., o-.. 0--_ —o — o — o
O-o — o — o — o
i-1-1-1-1-1-1-r
0     1      2     3     4     5     6 7
Ai = 1.
vi -
A2 — 0.33333,    V2 —
A2 =
A3 =
0.555556 1.33333
0.14815 0.55556
0.51852 1.44444\
0.16049 0.51852y)
■oTll    o—0TI2    o—ofí\ -|- °— ° OL A*
t
t
Stabilizovaná iteroparní populace (2)
niVt+i)=(<Ti(1_7) ^Vni
1.7
A
2 1
1
1
2
Ai = 1.
vi -
A2 = 0.
V<2 —
0.66667 0.33333
0.66667 -0.33333
A2 =
A3 =
0.5 0.25
0.5 0.25
1
0.5 1
0.5
o-- - o — o — o — o — o — o — o
o — o — o—o—o—o—o
Ho
"i-1-1-1-1-1-1-r
0     1      2     3     4     5     6 7
t
■oTll    o—oTi2    o—ofii + Tl2
t
Stabilizovaná iteroparní populace (3)
niVt+i)=(<Ti(1_7) ^Vni
t     —   8     t — <7l    —    g,   CT2   — q
1-7
= l,<p = l
A
0 1
8 1
9 9
(t)
O      o      o o
c iV/oNo/o^g/o^g' o > g * §»e * 8' o' 8 t o
10
—r
15
o^o^o^o^o^8\o^8No>84o>OigiOigiO
i-1-1-r
0 5 10 15
Ai = 1.
Vl -
A2    -0.88889, v2
0.5 0.5
0.52941 -0.47059
A2 =
A3 =
0.88889 0.11111
0.09877 0.90123
0.09877 0.90123^
0.80110 0.19890
■oni  o—on2  o—o m + n2     °—°aAi
10
—r
15
10
—r
15
t
t
Vymírající iteroparní populace
proportion size
Vymírající semelparní populace
(s+»+V«)(»:)(,)
CTI = §, (72 = 0, 7 = 1, <p = 1
*-(S i)
/0.51472\
Ai = 0.94281, ^i=(0.48528J
/ 0.51472 \
X2 = -0.94281, «2=^_a48528J
2 _ /0.88889       0 \ _ V    0 0.88889;
3 _ /    0 0.88889\ ~~ V0.79012       0 )
■oTll    o-oTÍ2    o—oni+n2 o-oftA
t
t
Neplodná populace (1)
01234 01234 t t
t
t
>
co
>
to
o	o	o	o
ö	Ö	Ö	Ö
h-1	o	co	h-1
-a	h-1	co	ar
ar	CO	-a	o
00	ar	ar	co
o		o	
Ö		Ö	
o	o	h-1	o
h-1		Oř	
CO		o	
ar		co	
<2
to
i—1 "to
to ar
tO|h
to
ooli-1 ^ I co