绿洲-沙漠交错带沙漠扩散预测模型的改进
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摘要
近年来,沙漠化问题日益受到关注,虽然各科学有关沙漠化的研究较多,也取得了显著的成果,但是在微分方程领域中有关沙漠化的研究却相对很少.通过讨论绿洲-沙漠交错带中沙漠与绿洲之间的相互作用关系,参考传染病模型,根据前人提出的非线性项为乘积形式的沙漠扩散预测模型的基础上建立了新的非线性项为比例依赖函数的沙漠化预测模型,最后以民丰县为例验证了模型的正确性.利用龙格-库塔方法对数学模型进行了数值模拟,并与遥感图像处理技术相结合对民丰县绿洲进行了沙漠动态变化分析与预测,得到了较理想的结果,预测得到的结果比前人得到的结果好,与实际数据之间的偏差更合理.提出的数学模型简单且实用,进一步更好地反映了研究区域的环境变化,在预测和治理沙漠扩散工作中具有较大意义.
Resently,much attention has been payed to desertification in Xinjiang,China,there are many researches about desertification in different research areas and have achieved significant results,but there are few studies about desertification in different equation area,especially in China.In this paper the interaction between sandy land and spares vegetation in oasis - desert eco - tone was analyzed and based on the previous desert prediction model,a new ratio-dependent functional desert prediction model is established,and verified using Minfeng oasis as an example.The Runge - Kutta scheme was applied to the model.Dynamic changes of sandy land were conducted using remote sensing technology,and the trend of desertification was predicted with the mathematical model.The result was fairly rational.The model is simple and very useful in predicting and managing desertification.
Resently,much attention has been payed to desertification in Xinjiang,China,there are many researches about desertification in different research areas and have achieved significant results,but there are few studies about desertification in different equation area,especially in China.In this paper the interaction between sandy land and spares vegetation in oasis - desert eco - tone was analyzed and based on the previous desert prediction model,a new ratio-dependent functional desert prediction model is established,and verified using Minfeng oasis as an example.The Runge - Kutta scheme was applied to the model.Dynamic changes of sandy land were conducted using remote sensing technology,and the trend of desertification was predicted with the mathematical model.The result was fairly rational.The model is simple and very useful in predicting and managing desertification.
引文
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[8]买买提依明·吾买尔,阿布都热西提·阿布都外力.绿洲-沙漠交错带沙漠扩散预测模型-以民丰县为例[J].新疆农业科学,2009,46(6):1382-1386.
[9]马知恩,周义仓,王稳地,等.传染病动力学的数学建模与研究[M].北京:科学出版社,2004.147-163.
[10]王树禾.微分方程模型与混沌[M].合肥:中国科学技术大学出版社,1999.350-359.
[11]Nasierding,Nasiman,Yuanzhi Zhang.Change Detection of Sandy Land Areas in Minfeng oasis of Xinjiang,China.Environmental Monitoring and Assessment[J].2009,151(l):189-196.
[12]龚斌,万力.沙漠绿洲变化的遥感监测方法[J].现代地质,2005,19(1):152-156.
[13]Wang J.Dynamic Changes of Sandy Land in Northwest of Beijing,China[J].Environmental Monitoring and Assessment,2006, 121:109-125.
[2]周兴佳.历史时期塔里木盆地沙漠化探讨[J].干旱区研究,1989,6(1):9-14.
[3]MA Jin zhu,QIAN Ju,GAO Qian zhao.The groundwater evolution and its influence on the fragile ecology in the south edge of Tarim basin[J].中国沙漠,2000,20(2):145-149.
[4]俎瑞平,高前兆,钱鞠,等.2000年来塔里木盆地南缘绿洲环境演变[J].中国沙漠,2001,21(2):122-128.
[5]周兴佳,李崇舜,钱亦兵.塔克拉玛干沙漠南缘沙漠的变化和绿洲沙害的防治-以和田地区为例.陈华.和田绿洲研究[C].乌鲁木齐:新疆人民出版社,1988.69-71.
[6]Bagnold R A.The physics of blown sand and desert dunes[M].Methuen London,1941.
[7]娜斯曼·那斯尔丁.塔里木盆地南缘地区沙漠扩散预测模型的建立及数值模拟[D].乌鲁木齐:新疆大学,2007.
[8]买买提依明·吾买尔,阿布都热西提·阿布都外力.绿洲-沙漠交错带沙漠扩散预测模型-以民丰县为例[J].新疆农业科学,2009,46(6):1382-1386.
[9]马知恩,周义仓,王稳地,等.传染病动力学的数学建模与研究[M].北京:科学出版社,2004.147-163.
[10]王树禾.微分方程模型与混沌[M].合肥:中国科学技术大学出版社,1999.350-359.
[11]Nasierding,Nasiman,Yuanzhi Zhang.Change Detection of Sandy Land Areas in Minfeng oasis of Xinjiang,China.Environmental Monitoring and Assessment[J].2009,151(l):189-196.
[12]龚斌,万力.沙漠绿洲变化的遥感监测方法[J].现代地质,2005,19(1):152-156.
[13]Wang J.Dynamic Changes of Sandy Land in Northwest of Beijing,China[J].Environmental Monitoring and Assessment,2006, 121:109-125.