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Ответы на вопросы к экзамену (Дроздов В.В.) / 20. в юникоде 20. Динамические характеристики популяции. Типы динамики численности популяции - характерные примеры

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8=0<8:0 ?>?C;OF89 O2;O5BAO >4=8< 87 =081>;55 7=0G8<KE 18>;>38G5A:8E 8 M:>;>38G5A:8E O2;5=89. >6=> A:070BL, GB> 687=L ?>?C;OF88 ?@>O2;O5BAO 2 55 48=0<8:5, B0: :0: ?>?C;OF8O =5 <>65B ACI5AB2>20BL 157 ?>AB>O==KE 87<5=5=89, 70 AG5B :>B>@KE >=0 :0: 1K ?@8A?>A01;8205BAO : ?>AB>O==> ?@>8AE>4OI8< 87<5=5=8O< 2=5H=8E CA;>289.



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>6405<>ABL, A<5@B=>ABL, <83@0F88 >A>159.



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07;8G0NB 01A>;NB=CN 8 C45;L=CN @>6405<>ABL



1A>;NB=0O 8;8 >1I0O @>6405<>ABL ( ) >?@545;O5BAO :0: G8A;> >A>159 ("N?) @>482H8EAO 2 ?>?C;OF88 70 >?@545;5==K9 ?@><56CB>: 2@5<5=8 ("t):



 = "N? / "t



#45;L=0O @>6405<>ABL (b)  MB> >B=>H5=85 >A>159 ("N?), @>482H8EAO 70 >?@545;5==K9 ?@><56CB>: 2@5<5=8 ("t), : G8A;C 2A5E >A>159 ?>?C;OF88 (N):



b = "N? / "t · N



-B>B ?>:070B5;L ?@8<5=ONB 4;O A@02=5=8O <564C A>1>9 @>6405<>AB8 2 ?>?C;OF8OE, 8<5NI8E @07=CN G8A;5==>ABL.



0?@8<5@:



5A;8 2 ?>?C;OF88 8<55BAO 500 >A>159 A?>A>1=KE : @07<=>65=8N (N =500) 8 2 B5G5=85 10 4=59 ("t 45;LB0 B ) @>48;>AL 50 =>2KE >A>159 ("N? =50),



B> 01A>;NB=0O 8;8 >1I0O @>6405<>ABL A>AB028B:  = "N? / "t = 50/10 = 5,



0 C45;L=0O @>6405<>ABL: b = "N? / "t · N = 50/ 10 · 500 = 0,01 8;8 1%.



07;8G0NB <0:A8<0;L=CN 8 D0:B8G5A:CN @>6405<>ABL.



0:A8<0;L=0O (D878>;>38G5A:0O) @>6405<>ABL - MB> B5>@5B8G5A:89 <0:A8<C< A:>@>AB8 @>645=8O =>2KE >A>159 2 8450;L=KE CA;>28OE ?@8 >BACBAB288 ;8<8B8@CNI8E D0:B>@>2 A@54K.



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 682KE >@30=87<0E 70;>65=0 >3@><=0O ?>B5=F80;L=0O 2>7<>6=>ABL : @07<=>65=8N, ?>MB><C ?@8 =5>3@0=8G5==KE @5AC@A0E 8 8450;L=KE ?@8@>4=KE CA;>28OE 284K @50;87CNB <0:A8<0;L=CN @>6405<>ABL.



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0?@8<5@:



- 4;O A;>=>2 MB0 A:>@>ABL A>AB02;O5B 0,3 </A;



- 4;O =5:>B>@KE <8:@>>@30=87<>2 - A>B=8 <5B@>2 2 A5:C=4C.



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- >48= >4C20=G8: <5=55 G5< 70 10 ;5B A?>A>15= 70A5;8BL A2>8<8 ?>B><:0<8 75<=>9 H0@, 5A;8 2A5 A5<5=0 ?@>@0ABCB.



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$0:B8G5A:0O (8;8 M:>;>38G5A:0O) @>6405<>ABL E0@0:B5@87C5B A:>@>ABL @07<=>65=8O ?>?C;OF88 ?@8 D0:B8G5A:8 A;>682H8EAO CA;>28OE 687=8, B.5. 2 :>=:@5B=KE M:>;>38G5A:8E CA;>28OE A@54K.



$0:B8G5A:0O @>6405<>ABL 7028A8B >B <=>38E 018>B8G5A:8E 8 18>B8G5A:8E D0:B>@>2 A@54K (=51;03>?@8OB=K5 :;8<0B8G5A:85 CA;>28O, ?>B5@O 8;8 CEC4H5=85 5AB5AB25==>9 A@54K >18B0=8O 87-70 AB8E89=KE 154AB289 - 70ACE0, 75<;5B@OA5=8O, C@030=K, ?>60@K, =02>4=5=8O 8;8 2 @57C;LB0B5 G5;>25G5A:>9 45OB5;L=>AB8, =54>AB0B>: ?8H8, 2=CB@8284>20O 8 <56284>20O :>=:C@5=F8O, E8I=8G5AB2>, ?0@078B87<, 1>;57=5B2>@=K5 035=BK 8 B.4.), 0 B0:65 >B 2>7@0AB0 8 A>AB>O=8O ?>?C;OF88.





!<5@B=>ABL  25;8G8=0, >1@0B=0O @>6405<>AB8.



!<5@B=>ABL - MB> ?>:070B5;L, E0@0:B5@87CNI89 A:>@>ABL ?@>F5AA0 A=865=8O G8A;5==>AB8 ?>?C;OF88 2 @57C;LB0B5 3815;8 >A>159.



07;8G0NB >1ICN 8 C45;L=CN A<5@B=>ABL.



1I0O A<5@B=>ABL (!) >?@545;O5BAO :0: G8A;> ?>381H8E 2 ?>?C;OF88 >A>159 ("Nm) 70 >?@545;5==K9 ?@><56CB>: 2@5<5=8 ("t):



! = "Nm / "t



#45;L=0O A<5@B=>ABL (d)  MB> >B=>H5=85 >A>159 ("Nm), ?>381H8E 70 >?@545;5==K9 ?@><56CB>: 2@5<5=8 ("t), : G8A;C 2A5E >A>159 ?>?C;OF88 (N):



d = "Nm / "t · N



07;8G0NB <8=8<0;L=CN 8 D0:B8G5A:CN A<5@B=>ABL.



8=8<0;L=0O (D878>;>38G5A:0O) A<5@B=>ABL - MB> <8=8<0;L=> 2>7<>6=0O 25;8G8=0 A<5@B=>AB8, ?@>O2;ONI0OAO 4065 2 8450;L=KE CA;>28OE A@54K :0: @57C;LB0B D878>;>38G5A:>9 AB0@>AB8 >A>159.



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!<5@B=>ABL 2;8O5B =0 ?@>4>;68B5;L=>ABL 687=8 >@30=87<>2 2 ?>?C;OF88 8 B5< A0<K< =0 55 2>7@0AB=>9 A>AB02.



 7028A8<>AB8 >B 2>7@0AB=>3> A>AB020 ?>?C;OF89 @07;8G0NB B@8 B8?0 A<5@B=>AB8.



5@2K9 B8? A<5@B=>AB8 E0@0:B5@87C5BAO ?>2KH5==>9 3815;LN 27@>A;KE, 3;02=K< >1@07><, AB0@KE >A>159.



-B>B B8? A<5@B=>AB8 =01;N405BAO:



- C =0A5:><KE, ;8G8=:8 :>B>@KE >18B0NB 2 ?>G25, 2>45, 4@525A8=5 8;8 2 4@C38E <5AB0E A 1;03>?@8OB=K<8 CA;>28O<8;



- C 1>;LH8=AB20 :@C?=KE <;5:>?8B0NI8E, :>B>@K5 701>BOBAO > A2>5< ?>B><AB25 4;8B5;L=>5 2@5<O;



- C ;N459 A ?@028;L=K< ?8B0=85< 8 74>@>2K< >1@07>< 687=8.



> 2B>@><C B8?C >B=>A8BAO A<5@B=>ABL, >48=0:>20O 4;O 2A5E 2>7@0AB=KE 3@C??.



"0:0O A<5@B=>ABL 2AB@5G05BAO >G5=L @54:> 8 B>;L:> C ?>?C;OF89, ?>AB>O==> =0E>4OI8EAO 2 M:AB@5<0;L=KE CA;>28OE:



- =01;N405BAO C =5:>B>@KE ?52G8E ?B8F, @5?B8;89 8 <5;:8E <;5:>?8B0NI8E.



"@5B89 B8? A<5@B=>AB8 >B;8G05BAO ?>2KH5==>9 3815;LN >A>159 =0 @0==8E AB048OE A2>53> @0728B8O.



-B>B B8? A<5@B=>AB8 A2>9AB25=5= 1>;LH8=AB2C 284>2 <>@A:8E 682>B=KE 8 @0AB5=89:



- <>@A:85 284K 682>B=KE (CAB@8FK 8;8 4@C385 42CAB2>@G0BK5 <>;;NA:8, 0 B0:65 @K1K) 40NB >3@><=>5 ?>B><AB2>, => B>;L:> =5:>B>@K5 >A>18 4>6820NB 4> ?>;>2>7@5;>3> 2>7@0AB0;



- @0AB5=8O, @07<=>60NI85AO 1;03>40@O @0AA5820=8N 1>;LH>3> G8A;0 A5<O=, 8 C :>B>@KE <0:A8<0;L=0O 3815;L ?@>8AE>48B 2 AB0488 ?@>@0AB0=8O A5<O= 8 2AE>4>2.



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!>>B25BAB25==> B@5< B8?0< A<5@B=>AB8 1K;> ?>;CG5=> B@8 B8?0 :@82KE 2K6820=8O (@8A.1):

8A.1. "@8 B8?0 :@82KE 2K6820=8O



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2 :@820O 2K6820=8O - MB> 8450;L=0O 4803>=0;L=0O :@820O 2K6820=8O - ?@54AB02;O5BAO 2 2845 4803>=0;L=> A=860NI59 ?@O<>9 ;8=88 8 E0@0:B5@87C5BAO @02=><5@=K< @0A?@545;5=85< A<5@B=>AB8 ?> 2>7@0AB0<;



3 :@820O 2K6820=8O 45<>=AB@8@C5B @57:>5 ?045=85 A<5@B=>AB8 2 >1;0AB8 <;04H8E 2>7@0AB>2, :>B>@>5 2A:>@5 A<5=O5BAO ?>AB5?5==K< >B=>A8B5;L=> @02=><5@=K< ?>=865=85< A<5@B=>AB8 >@30=87<>2, ?5@5682H8E  :@8B8G5A:89 2>7@0AB.



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- 87<5=5=85 CA;>289 ACI5AB2>20=8O 2 <5AB0E >18B0=8O;



- 87<5=5=89 B@51>20=89 682KE >@30=87<>2 : MB8< CA;>28O< =0 @07=KE AB048OE @0728B8O.



 >A=>2=>< <83@0F88 A>25@H0NBAO ?@8 ?>4@0AB0=88 <>;>4=O:0 8 53> @0AA5;5=88.



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 @07=KE ?>?C;OF8OE @>6405<>ABL, A<5@B=>ABL 8 <83@0F88 >A>159 @07;8G0NBAO. =8 O2;ONBAO A?5F8D8G=K<8 4;O :064>3> 2840 8 7028AOB >B <=>65AB20 ?@8G8=, >1CA;>2;820NI8E >A>15==>AB8 @>6405<>AB8, A<5@B=>AB8 8 ?>4286=>AB8 >A>159.



"0:8< >1@07><, @0AA<>B@5==K5 G5BK@5 ?5@5<5==KE D0:B>@0 - @>6405<>ABL, A<5@B=>ABL, 8<<83@0F8O 8 M<83@0F8O >?@545;ONB 87<5=5=85 G8A;5==>AB8 ?>?C;OF88.



A>18 ?>O2;ONBAO 2 ?>?C;OF88 1;03>40@O @>645=8N 8 8<<83@0F88, 0 8AG570NB 2 @57C;LB0B5 A<5@B8 8 M<83@0F88:



87<5=5=85 G8A;5==>AB8 ?>?C;OF88 = (@>6405<>ABL + 8<<83@0F8O) - (A<5@B=>ABL + M<83@0F8O).



@8 >BACBAB288 <83@0F88 87<5=5=85 G8A;5==>AB8 ?>?C;OF88 7028A8B >B A>>B=>H5=8O 25;8G8=K @>6405<>AB8 8 A<5@B=>AB8.



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