진화생물학:한곳_짝짓기_경쟁

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진화생물학:한곳_짝짓기_경쟁 [2021/08/02 14:13] – [검증] jiwon진화생물학:한곳_짝짓기_경쟁 [2026/08/13 15:04] (current) – [참고문헌] admin
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 $$ $$
 \begin{cases} \begin{cases}
-x'_1 = f_1(x_1,...,x_{21}) \approx \left.\frac{\partial f_{1}}{\partial x_1}\right\vert_{(1,0,...,0)} x_1 + \cdots + \left.\frac{\partial f_{1}}{\partial x_{21}}\right\vert_{(1,0,...,0)} x_{21}\\ +x'_1 = f_1(x_1,...,x_{21}) \approx \left.\frac{\partial f_{1}}{\partial x_1}\right\vert_{(1,0,...,0)} (x_1 - 1) + \cdots + \left.\frac{\partial f_{1}}{\partial x_{21}}\right\vert_{(1,0,...,0)} x_{21}\\ 
-x'_2 = f_2(x_1,...,x_{21}) \approx \left.\frac{\partial f_{2}}{\partial x_1}\right\vert_{(1,0,...,0)} x_1 + \cdots + \left.\frac{\partial f_{2}}{\partial x_{21}}\right\vert_{(1,0,...,0)} x_{21}\\+x'_2 = f_2(x_1,...,x_{21}) \approx \left.\frac{\partial f_{2}}{\partial x_1}\right\vert_{(1,0,...,0)} (x_1 - 1) + \cdots + \left.\frac{\partial f_{2}}{\partial x_{21}}\right\vert_{(1,0,...,0)} x_{21}\\
 \qquad\qquad\cdot\\ \qquad\qquad\cdot\\
 \qquad\qquad\cdot\\ \qquad\qquad\cdot\\
 \qquad\qquad\cdot\\ \qquad\qquad\cdot\\
-x'_{21} = f_1(x_1,...,x_{21}) \approx \left.\frac{\partial f_{21}}{\partial x_1}\right\vert_{(1,0,...,0)} x_1 + \cdots + \left.\frac{\partial f_{21}}{\partial x_{21}}\right\vert_{(1,0,...,0)} x_{21}\\+x'_{21} = f_{21}(x_1,...,x_{21}) \approx \left.\frac{\partial f_{21}}{\partial x_1}\right\vert_{(1,0,...,0)} (x_1 - 1) + \cdots + \left.\frac{\partial f_{21}}{\partial x_{21}}\right\vert_{(1,0,...,0)} x_{21}\\
 \end{cases} \end{cases}
 $$ $$
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 그리고 한 쌍이 $(RRXR)$이라고 가정하고 $x'_2,x'_3,x'_4,x'_5,x'_9$를 가지고 5x5 행렬을 써보면 이 행렬이 윗 절의 그리고 한 쌍이 $(RRXR)$이라고 가정하고 $x'_2,x'_3,x'_4,x'_5,x'_9$를 가지고 5x5 행렬을 써보면 이 행렬이 윗 절의
-$$\begin{pmatrix} +$$
-x'_{SS\times S}\\ +
-x'_{SS\times R}\\ +
-x'_{RS\times S}\\ +
-x'_{RS\times R}\\ +
-x'_{RR\times S} +
-\end{pmatrix} +
-=(1-r)K+
 \begin{pmatrix} \begin{pmatrix}
 pu & 0 & \frac{1}{4N} & 0 & 0\\ pu & 0 & \frac{1}{4N} & 0 & 0\\
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 (N-1)p & (N-1)p & \frac{N-1}{2N} & \frac{2N-1}{4N} & 0 (N-1)p & (N-1)p & \frac{N-1}{2N} & \frac{2N-1}{4N} & 0
 \end{pmatrix} \end{pmatrix}
-\begin{pmatrix} +
-x_{SS\times S}\\ +
-x_{SS\times R}\\ +
-x_{RS\times S}\\ +
-x_{RS\times R}\\ +
-x_{RR\times S} +
-\end{pmatrix}+
 $$ $$
  
 와 같음을 확인할 수 있다. 와 같음을 확인할 수 있다.
 +======함께 보기======
 +  * [[진화생물학:피셔의_원리|피셔의 원리]]
 +  * [[진화생물학:트리버스-윌라드_가설|트리버스-윌라드 가설]]
 +
 ======참고문헌====== ======참고문헌======
   * W. D. Hamilton, //Extraordinary Sex Ratios//, Science **156**, 477--488 (1967).   * W. D. Hamilton, //Extraordinary Sex Ratios//, Science **156**, 477--488 (1967).
   * P. D. Taylor and M. G. Bulmer, //Local Mate Competition and the Sex Ratio//, J. Theor. Biol. **86** 409--419 (1980).   * P. D. Taylor and M. G. Bulmer, //Local Mate Competition and the Sex Ratio//, J. Theor. Biol. **86** 409--419 (1980).
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