بررسی تغییرات بعد فرکتالی و دقت مدلهای فراکتالی توزیع اندازه ذرات در زیرحوضه امام‌زاده ابراهیم گیلان

نویسندگان

1 علوم خاک، دانشکده علوم کشاورزی، دانشگاه گیلان

2 علوم خاک، دانشکده مهندسی و فناوری کشاورزی، دانشگاه تهران

3 علوم خاک، دانشکده کشاورزی، دانشگاه بوعلی سینا

چکیده

توزیع اندازه ذرات یکی از مهم‌ترین ویژگی‌های خاک است که معادلات مختلف فراکتالی برای توصیف بهتر آنها در دهه‌های اخیر ارایه شده است. هدف از انجام این مطالعه بررسی تغییرات ابعاد فراکتالی محاسبه شده با معادلات مختلف در در زیرحوضه امام زاده ابراهیم واقع در استان گیلان بود. برای انجام این پژوهش تعداد 93 نمونه خاک از مناطق مختلف حوضه با کاربری، فرسایش و نوع پوشش گیاهی گواناگون جمع‌آوری شد. توزیع اندازه ذرات در نمونه‌ها اندازه‌گیری شد. سه مدل فراکتالی بیرد، پریر-بیرد و تیلور- ویتکرفت بر اطلاعات برازش داده شد. نتایج نشان داد که مدل بیرد، پریر-بیرد نسبت به مدل تیلور- ویتکرفت دارای ریشه میانگین مربعات خطا (RMSE) کمتری بودند (RMSE برای مدل بیرد-پریر و مدل بیرد برابر 3/8 و برای مدل تیلور-ویتکرفت برابر با 3/29 است). مقدار بعد فراکتالی به دست آمده از مدل بیرد (73/2) نسبت به دو مدل دیگر یعنی مدل پریر- بیرد (94/2) و تیلور-ویتکرفت (95/2) کوچک‌تر بود. نتایج به دست آمده از این پژوهش نشان داد که مدل‌های فراکتالی در خاک‌های مختلف دارای دقت متفاوتی هستند. همچنین نتایج نشان داد که بعد فراکتالی هر سه مدل مورد مطالعه با رس دارای رابطه غیر خطی مثبت و با شن دارای رابطه خطی منفی هستند. به طور کلی نتایج نشان داد توزیع اندازه ذرات و درنتیجه بعد فراکتالی تابعی از نوع خاک، پوشش و کاربری اراضی است و مدل‌های دو پارامتری به دلیل انعطاف‌پذیری بیش‌تر، دارای دقت بیش‌تری برای توصیف توزیع اندازه ذرات خاک هستند.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Investigation of changes in fractal dimension and accuracy of fractal models of soil particle size distribution in the Imamzadeh Ebrahim sub-watershed, Guilan

نویسندگان [English]

  • Eisa Ebrahimi 1
  • Hossein Asadi 2
  • Hossein Bayat 3
1 Soil Science Department, Faculty of Agricultural Sciences, University of Guilan
2 Soil Science Department, Faculty of Agricultural Engineering and Technology, University of Tehran
3 Department of Soil Science, Faculty of Agriculture, Bu Ali Sina University
چکیده [English]

Soil particle size distribution (PSD) is one of the most important soil characteristics. Various fractal equations have been proposed for better description of this characteristic in recent decades. This study aimed to investigate the changes in fractal dimensions of PSD calculated with different equations in the Imamzadeh Ebrahim sub-watershed, Guilan province. To conduct this research, 93 soil samples were collected from different parts of the sub-watershed with different land use, soil erosion and vegetation covers. The PSD of the samples was measured. Three fractal models of Bird, Perrier-Bird, and Tyler-Wheatcraft were fitted to the data. The results showed that the Perrier-Bird and Bird models had less root mean square error (RMSE) than the Tyler-Wheatcraft model (RMSE was 8.3 for the Perrier-Bird and Bird models, while it was 29.3 for the Tyler-Wheatcraft model). The value of fractal dimension obtained from Bird model (2.73) was lower than the other two models (the fractal dimensions were 2.94 and 2.95 for Perrier-Bird and Tyler-Wheatcraft, respectively). The results of this study demonstrated that the fractal models showed different accuracy and precision under various lands. According to result, fractal dimension of all three models had a positive nonlinear relationship with clay while showing a negative linear relationship with sand. In general, it can be concluded that PSD and therefore the fractal dimension of PSD are function of soil type, vegetation cover and land use, and two-parameter models are more accurate to describe soil PSD due to their higher flexibility.

کلیدواژه‌ها [English]

  • Forest lands
  • Soil texture
  • Bird
  • Tyler and Wheatcraft
  • Degraded rangelands

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دانش آب و خاک
دوره 34، شماره 1
فروردین 1403
صفحه 201-216

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