Biodiversity Science ›› 2011, Vol. 19 ›› Issue (4): 404-413.doi: 10.3724/SP.J.1003.2011.10020

• Special Issue • Previous Article     Next Article

A model for designing nature reserves with minimal fragmenta-tion using a primal-dual graph approach

Yicheng Wang   

  1. College of Resources and Environment, Qingdao Agricultural University, Qingdao, Shandong 266109
  • Received:2011-01-26 Revised:2011-05-08 Online:2011-07-29
  • Yicheng Wang

Habitat fragmentation is one of the most important causes of biodiversity loss. In order to maximize a nature reserve’s effectiveness it is important to minimize habitat fragmentation during the design phase. However, due to economic or geographic constraints, it is often infeasible to acquire a large area of contiguous land for a reserve; designing a nature reserve consisting of several smaller components is often a more realistic choice. Selecting these smaller components with which to assemble a reserve with minimal fragmentation then becomes an important way to reduce fragmentation. How-ever, reserve site selection models which incorporate spatial attributes may encounter computational difficulties. Williams (2002) presented a linear integer programming model based on primal and dual graph concepts to select contiguous sites. This paper modified this model to design a nature reserve which can protect a set of target species while incurring minimal fragmentation among selected sites. The modified model defines two variables for each site, and the difference in the value of these two variables represents the extent of fragmentation. Computational performance tests showed that the model can solve a minimal fragmentation reserve design problem involving 100 potential sites in a rea-sonable period of time. As an empirical application, the model was employed to design reserve networks for the endangered and threatened bird species of Illinois, USA. Several reserve networks with minimal fragmentation under different scenarios were designed. The computational efficiency of linear integer programming models needs more improvement for designing large-size optimal nature reserves. The practical use of these models requires complete and accurate data sets including species distribution, cost of site selection, etc.

CLC Number: 

  • X36,S759.9

[1] XU Jian-Ying, CHEN Li-Ding, LU Yi-He, FU Bo-Jie, YANG Shuang. Local people′s responses to policies in Wolong Nature Reserve, Sichuan [J]. Biodiv Sci, 2004, 12(6): 639-645.
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[2] Xiulei Wang, Diqiang Li, Bo Wu, Hongxiao Yang. Habitat suitability assessment of Przewalski’s gazelle in the Hudong- Ketu area, Qinghai, China[J]. Biodiv Sci, 2005, 13(3): 213 -220 .
[3] . [J]. Chin Bull Bot, 1994, 11(专辑): 19 .
[4] Shusheng Zhang, Fangdong Zheng, Jiaqi Li, Qimin Bao, Jiahou Lai, Hongyi Cheng. Monitoring diversity of ground-dwelling birds and mammals in Wuyanling National Nature Reserve using infrared camera traps[J]. Biodiv Sci, 2017, 25(4): 427 -429 .
[5] YU Hua, Bee-Lian ONG. Diurnal Photosynthesis and Carbon Economy of Acacia mangium in English[J]. Chin J Plan Ecolo, 2003, 27(5): 624 -630 .
[6] LIN Jian-Jun WEI You-Zhang. The Fine Tuning System of Intracellular Ca2+in Plant——Ca2+-ATPase[J]. Chin Bull Bot, 2001, 18(02): 190 -196 .
[7] LI Jun-De YANG Jian WANG Yu-Fei. Aquatic Plants in the Miocene Shanwang Flora[J]. Chin Bull Bot, 2000, 17(专辑): 261 .
[8] Zili Wu, Mengyao Yu, Lu Chen, Jing Wei, Xiaoqin Wang, Yong Hu, Yan Yan, Ping Wan. Transcriptome Analysis of Physcomitrella patens Response to Cadmium Stress by Bayesian Network[J]. Chin Bull Bot, 2015, 50(2): 171 -179 .
[9] Monica Boscaiu, Cristina Lull, Josep Llinares, Oscar Vicente, Herminio Boira. Proline as a biochemical marker in relation to the ecology of two halophytic Juncus species[J]. J Plant Ecol, 2013, 6(2): 177 -186 .
[10] Yu Wang,Huiyong Zhang,Peng Xiang,Youyin Ye,Gengming Lin,Qingliang Yang,Mao Lin. Observing the morphological features of Emiliania huxleyi coccoliths using atomic force microscopy[J]. Biodiv Sci, 2016, 24(7): 847 -854 .