基于玻尔兹曼熵的延河流域景观格局复杂度计算及生态可持续性分析
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国家自然科学基金项目(41971379)


Calculation of landscape complexity and analysis of ecological sustainability in the Yanhe watershed based on Boltzmann entropy
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The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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    摘要:

    将流域视作自组织、有生命力的系统,构建了适用于土地利用数据的玻尔兹曼熵改进模型,提出了流域景观格局复杂度定量表征方法。通过计算1980—2020年延河流域景观格局复杂度及其动态变化,从“格局”和“动态”两个维度分析了延河流域的生态可持续性。结果显示:(1)延河流域景观格局复杂度呈现显著的空间异质性,不同地理位置和土地利用类型之间存在显著差异:延安市辖区北部地区景观格局复杂度最高,南部地区较高,上游地区呈现交错分布的特点,下游地区最低;水库和坑塘平均景观格局复杂度最高,有林地、高覆盖度草地和灌木林地平均景观格局复杂度最低;(2)延河流域景观格局经历了显著的变化: 2000—2010年,75%的景观单元格局复杂度增加; 2010—2020年,整体景观格局复杂度显著下降后趋于稳定,流域景观格局有序性增强。研究提出的基于玻尔兹曼熵的景观格局复杂度计算及生态可持续性分析方法原则上也适用于其他流域或景观类型,可为流域生态保护和管理提供新的视角和方法。

    Abstract:

    Watersheds, as fundamental units of terrestrial ecosystems, hold representative significance in ecological sustainability research. This study conceptualizes the watershed as a self-organizing and dynamic system, aiming to quantitatively analyze the complexity of landscape patterns and accurately assess its ecological sustainability. The study innovatively proposes an enhanced Boltzmann entropy model for land use data, comprehensively considering the components and spatial configuration characteristics of different land use types. This model has been applied to quantitatively assess landscape pattern complexity in the Yanhe watershed from 1980 to 2020, exploring ecological sustainability from the perspectives of "pattern" and "dynamics". The results reveal several key findings: (1) The complexity of landscape patterns within the Yanhe watershed exhibits significant spatial heterogeneity. Specifically, the upper-middle reaches of the basin exhibit the highest landscape complexity, followed by the middle-lower reaches, whereas the upper reaches display an intertwined distribution of complexity, and the lower reaches exhibit the lowest complexity. Among different land use types, reservoirs and ponds have the highest average landscape complexity, while natural woodland, high- coverage grassland and shrublands have the lowest. (2) The landscape complexity of the Yanhe watershed has undergone significant changes over the past four decades. Between 2000 and 2010, 75% of landscape units experienced an increase in complexity, particularly as agricultural land was converted to forested and grassland areas. From 2010 to 2020, although land use did not change much, the overall landscape complexity showed a clear downward trend before stabilizing. The reduction in complexity suggests a trend toward greater landscape orderliness and enhanced ecological system stability within the watershed. The method for calculating landscape pattern complexity and analyzing ecological sustainability based on Boltzmann entropy is applicable to other watersheds or landscape types, providing a novel perspective and approach for ecological protection and management.

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曹伊婷,赵红蕊,刘欣桐.基于玻尔兹曼熵的延河流域景观格局复杂度计算及生态可持续性分析.生态学报,2025,45(3):1116~1125

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