According to Frisch and Melchinger (2007 & 2010) approach, the variances of parental genome contribution of 
chromosome with length 
in different mating systems can be written as follow:
![\frac{1}{l_k^2}\cdot \frac{1}{4}\left[l_k-\frac{1}{2}\left(1-e^{-2l_k}\right)\right]](http://zhaoging.ueuo.com/wp-content/plugins/latex/cache/tex_c36fdc40f66e2501e9fc2ff062fbdd6f.gif)
![\frac{1}{l_k^2}\cdot \frac{1}{8}\left[l_k-\frac{1}{2}\left(1-e^{-2l_k}\right)\right]](http://zhaoging.ueuo.com/wp-content/plugins/latex/cache/tex_bfd502825dd92e6cf6c6122c3cbea401.gif)
![\frac{1}{l_k^2}\cdot \frac{1}{128}\left[20l_k+8e^{-2l_k}+e^{-4l_k}-9\right]](http://zhaoging.ueuo.com/wp-content/plugins/latex/cache/tex_c2c17105e2e74bf82724cb19a0744916.gif)
![\frac{1}{l_k^2}\cdot \sum _{n=1}^t \left(\frac{1}{2}\right)^{n+3}\frac{1}{n^2}\left[2nl_k-1+e^{-2nl_k}\right]](http://zhaoging.ueuo.com/wp-content/plugins/latex/cache/tex_c501d1def706287893a65ce6a05ed258.gif)
![\frac{1}{l_k^2}\cdot \frac{1}{4^{t+1}}\sum _{n=1}^t \left(\begin{array}{c}t\\n\end{array}\right)\frac{1}{2n^2}\left[2nl_k-1+e^{-2nl_k}\right]](http://zhaoging.ueuo.com/wp-content/plugins/latex/cache/tex_5e979e68e5ae64e9cfc1e59b257e05cf.gif)
![\frac{1}{l_k^2}\cdot \frac{1}{8(t+1)}\left[l_k\left(2-\frac{1}{2^t}\right)-\frac{1}{2^{t+1}}\sum_{n=1}^{t+1} \left(\begin{array}{c}t+1\\n\end{array}\right)\frac{1}{n}\left(1-e^{-2nl_k}\right)\right]](http://zhaoging.ueuo.com/wp-content/plugins/latex/cache/tex_faf3655bd5186ed0d2fd913894efebfc.gif)
![\frac{1}{l_k^2}\cdot \frac{1}{4(t+1)}\left[l_k\left(2-\frac{1}{2^t}\right)-\frac{1}{2^{t+1}}\sum_{n=1}^{t+1} \left(\begin{array}{c}t+1\\n\end{array}\right)\frac{1}{n}\left(1-e^{-2nl_k}\right)\right]](http://zhaoging.ueuo.com/wp-content/plugins/latex/cache/tex_e8a2437c88cb35e46ed188325f53cd50.gif)
![\frac{1}{l_k^2}\cdot \frac{1}{2^{t+2}}\sum _{n=1}^{t+1} \left(\begin{array}{c}t\\n-1\end{array}\right)\left[2^{n-1}\varepsilon _6+2\sum _{m=1}^{n-1} \varepsilon _3\left(\varepsilon _7-l_k\right)\right]\begin{array}{c}*\\\ \end{array}](http://zhaoging.ueuo.com/wp-content/plugins/latex/cache/tex_a9bfab7862014c55f591abc9ff5e0e00.gif)
![\frac{1}{l_k^2}\cdot \frac{1}{4^{t+1}}\sum _{n=1}^{t+1} \left(\begin{array}{c}t+1\\n\end{array}\right)\frac{1}{2n^2}\left[2nl_k-1+e^{-2nl_k}\right]](http://zhaoging.ueuo.com/wp-content/plugins/latex/cache/tex_c84c03abb452c6bacfe72dfcc75ef615.gif)
![\frac{1}{l_k^2}\cdot \frac{1}{4^{t+1}}\left\{\varepsilon _6+\sum _{n=1}^t \left(\begin{array}{c}t\\n\end{array}\right)\left[2^n\varepsilon _6+4\sum _{m=1}^{n-1} \varepsilon _3\left(\varepsilon _7-l_k\right)\right]\right\}\begin{array}{c}*\\\ \end{array}](http://zhaoging.ueuo.com/wp-content/plugins/latex/cache/tex_b4ca44c6610c74c69c66f3cd00b91918.gif)
References:
FRISCH, M. AND A. E. MELCHINGER (2007). "Variance of the parental genome contribution to inbred lines derived from biparental crosses." Genetics 176(1): 477-488.
MELCHINGER, A. E., B. S. DHILLON, ET AL. (2010). "Variation of the parental genome contribution in segregating populations derived from biparental crosses and its relationship with heterosis of their Design III progenies." Theoretical and Applied Genetics 120(2, Sp. Iss. SI): 311-319.
