Biodiv Sci ›› 2011, Vol. 19 ›› Issue (4): 404-413.DOI: 10.3724/SP.J.1003.2011.10020
• Original Papers • Previous Articles Next Articles
Yicheng Wang
Received:
2011-01-26
Accepted:
2011-05-25
Online:
2011-07-20
Published:
2011-07-29
Yicheng Wang. A model for designing nature reserves with minimal fragmentation using a primal-dual graph approach[J]. Biodiv Sci, 2011, 19(4): 404-413.
α | SCP解 SCP solution | r | 模型大小 Model sizea | 目标值 Objective valueb | 时间(秒) Time (s)c | 迭代 Iterationsd | 节点 Nodese |
---|---|---|---|---|---|---|---|
0.8 | 2 | 3 | 0.0 | 3.9 | 11,084 | 61 | |
0.7 | 2 | 3 | 0.1 | 10.0 | 34,150 | 238 | |
0.6 | 3 | 3 | 952 | 1.6 | 36.2 | 183,910 | 1,810 |
0.5 | 3 | 4 | 1,241 | 0.9 | 36.4 | 170,883 | 1,313 |
0.4 | 4 | 6 | 200 | 0.1 | 54.6 | 245,866 | 1,308 |
0.3 | 5 | 7 | 1.0 | 98.1 | 480,861 | 3,207 | |
0.2 | 7 | 9 | 2.8 | 194.0 | 1,056,830 | 8,873 |
Table 1 Computational results of the minimal fragmentation model (No. of sites = 100, No. of species = 30)
α | SCP解 SCP solution | r | 模型大小 Model sizea | 目标值 Objective valueb | 时间(秒) Time (s)c | 迭代 Iterationsd | 节点 Nodese |
---|---|---|---|---|---|---|---|
0.8 | 2 | 3 | 0.0 | 3.9 | 11,084 | 61 | |
0.7 | 2 | 3 | 0.1 | 10.0 | 34,150 | 238 | |
0.6 | 3 | 3 | 952 | 1.6 | 36.2 | 183,910 | 1,810 |
0.5 | 3 | 4 | 1,241 | 0.9 | 36.4 | 170,883 | 1,313 |
0.4 | 4 | 6 | 200 | 0.1 | 54.6 | 245,866 | 1,308 |
0.3 | 5 | 7 | 1.0 | 98.1 | 480,861 | 3,207 | |
0.2 | 7 | 9 | 2.8 | 194.0 | 1,056,830 | 8,873 |
Fig. 5 Selected solutions of the model. Dark grey cells consist of the reserve, shallow grey cells are fragmentation. α, Ratio of species that can coexist in any potential site to total number of species; r, Maximal number of selected sites.
[1] | Ando A, Camm JD, Polasky S, Solow A (1998) Species distribution, land values and efficient conservation. Science, 279, 2126-2128. |
[2] | Bolger DT, Scott TA, Rotenberry JT (2001) Use of corridor-like structures by bird and small mammal species. Biological Conservation, 102, 213-224. |
[3] | Brooke A, Kendrick D, Meeraus A, Raman R (1998) GAMS― A User’s Guide. GAMS Development Corporation, Washington, DC. |
[4] | Cabeza M, Araújo MB, Wilson RJ, Thomas CD, Cowley MJR, Moilanen A (2004) Combining probabilities of occurrence with spatial reserve design. Journal of Applied Ecology, 41, 252-262. |
[5] | Church RL, ReVelle C (1974) The maximal covering location problem. Papers of the Regional Science Association, 32, 101-118. |
[6] | Church RL, Stoms DM, Davis FW (1996) Reserve selection as a maximal covering location problem. Biological Conservation, 76, 105-112. |
[7] | Cocks KD, Baird IA (1989) Using mathematical programming to address the multiple reserve selection problem: an example from the Eyre Peninsula, South Australia. Biological Conservation, 78, 113-130. |
[8] | Costello C, Polasky S (2004) Dynamic reserve site selection. Resource and Energy Economics, 26, 157-174. |
[9] |
Diestel R (2005) Graph Theory, 3rd edn. Springer, Berlin.
URL PMID |
[10] | Fischer DT, Church RL (2003) Clustering and compactness in reserve site selection: an extension of the biodiversity management area selection model. Forest Science, 49, 555-565. |
[11] | Fu W (富伟), Liu SL (刘世梁), Cui BS (崔保山), Zhang ZL (张兆苓) (2009) A review on ecological connectivity in landscape ecology. Acta Ecologica Sinica (生态学报), 29, 6174-6182. (in Chinese with English abstract) |
[12] | Gao ZX (高增祥), Chen S (陈尚), Li DM (李典谟), Xu RM (徐汝梅) (2007) Origin and essence of island biogeography and metapopulation theory. Acta Ecologica Sinica (生态学报), 27, 304-313. (in Chinese with English abstract) |
[13] | Haight RG, ReVelle CS, Snyder SA (2000) An integer optimization approach to a probabilistic reserve site selection problem. Operations Research, 48, 697-708. |
[14] | Haight RG, Travis LE (2008) Reserve design to maximize species persistence. Environmental Modeling and Assessment, 13, 243-253. |
[15] | Hanski I (1998) Metapopulation dynamics. Nature, 396, 41-49. |
[16] | Harrison P, Spring D, MacKenzie M, Nally RM (2008) Dynamic reserve design with the union-find algorithm. Ecological Modelling, 215, 369-376. |
[17] | Hodgson JA, Moilanen A, Wintle BA, Thomas CD (2011) Habitat area, quality and connectivity: striking the balance for efficient conservation. Journal of Applied Ecology, 48, 148-152. |
[18] | Li XW (李晓文), Hu YM (胡远满), Xiao DN (肖笃宁) (1999) Landscape ecology and biodiversity conservation. Acta Ecologica Sinica (生态学报), 19, 399-407. (in Chinese with English abstract) |
[19] | Nalle DJ, Arthur JL, Sessions J (2002) Designing compact and contiguous reserve networks with a hybrid heuristic algorithm. Forest Science, 48, 59-68. |
[20] | Önal H (2003) First-best, second-best, and heuristic solutions in conservation reserve selection. Biological Conservation, 115, 55-62. |
[21] | Önal H, Briers R (2006) Optimum selection of a connected conservation reserve network. Operations Research, 54, 379-388. |
[22] | Önal H, Wang Y (2008) A graph theory approach for designing conservation reserve networks with minimal fragmentation. Networks, 52, 142-152. |
[23] | Possingham H, Ball I, Andelman S (2000) Mathematical methods for identifying representative reserve networks. In: Quantitative Methods for Conservation Biology (eds Ferson S, Burgman M), pp. 291-305. Springer, New York. |
[24] | Tang ZY (唐志尧), Qiao XJ (乔秀娟), Fang JY (方精云) (2009) Species-area relationship in biological communities. Biodiversity Science (生物多样性), 17, 549-559. (in Chinese with English abstract) |
[25] | Toregas C, Swain R, ReVelle C, Bergman L (1971) The location of emergency service facilities. Operations Research, 19, 1363-1373. |
[26] | Underhill LG (1994) Optimal and suboptimal reserve selection algorithms. Biological Conservation, 70, 85-87. |
[27] | Vanegas P, Cattrysse D, Van Orshoven J (2010) Compactness in spatial decision support: a literature review. Lecture Notes in Computer Science, 6016, 414-429. |
[28] | Williams JC (2002) A zero-one programming model for contiguous land acquisition. Geographical Analysis, 34, 330-349. |
[29] | Williams JC, ReVelle CS, Levin SA (2004) Using mathematical optimization models to design nature reserves. Frontiers in Ecology and the Environment, 2, 98-105. |
[30] | Williams JC, ReVelle CS, Levin SA (2005) Spatial attributes and reserve design models: a review. Environmental Modeling and Assessment, 10, 163-181. |
[31] | Xu HG (徐海根), Wang LL (王连龙), Bao HS (包浩生) (2003) Designing of nature reserve network: a case study of the red-crowned crane nature reserve. Rural Eco-Environment (农村生态环境), 19(4), 5-9. (in Chinese with English abstract) |
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