تعیین الگوی فرکتالی در بازه‌ای از رودخانه قره‌سو استان اردبیل

Amini, H., Esmali-Ouri, A., Mostafazadeh, R., Sharari, M., & Zabihi, M. (2019). Hydrological drought response of regulated river flow under the influence of dam reservoir in Ardabil Province. Journal of the Earth and Space Physics, 45(2), 473-486. (In Persian)

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Ariza-Villaverde, A. B., Jiménez-Hornero, F. J., & de Ravé, E. G. (2013). Multifractal analysis applied to the study of the accuracy of DEM-based stream derivation. Geomorphology, 197, 85-95.‏

Baas, A. C. (2002). Chaos, fractals and self-organization in coastal geomorphology: simulating dune landscapes in vegetated environments. Geomorphology, 48(1-3), 309-328.‏

Bashiri, M., Kavousi Davoudi, S., & Afzali, A. (2018). The Study and Zonation of the Effect of Geologic and Geomorphic Characteristics on the Pattern of Sliding Zones using Fractal Geometry (Case Study: Tooye-Darvar watershed). Hydrogeomorphology, 5(14), 157-178. (In Persian)

Bi, L., He, H., Wei, Z., & Shi, F. (2012). Fractal properties of landforms in the Ordos Block and surrounding areas, China. Geomorphology, 175, 151-162.‏

Buczkowski, S., Hildgen, P., & Cartilier, L. (1998). Measurements of fractal dimension by box-counting: a critical analysis of data scatter. Physica A: Statistical Mechanics and its Applications, 252(1-2), 23-34.

Chen, Y. (2020). Fractal Modeling and Fractal Dimension Description of Urban Morphology. Entropy, 22(9), 961. https://doi.org/10.3390/e22090961

Chen, Y. G. (2018). Logistic models of fractal dimension growth of urban morphology. Fractals, 26(03), 1850033.

Donadio, C., Magdaleno, F., Mazzarella, A., & Mathias Kondolf, G. (2015). Fractal dimension of the hydrographic pattern of three large rivers in the Mediterranean morphoclimatic system: Geomorphologic interpretation of Russian (USA), Ebro (Spain) and Volturno (Italy) fluvial geometry. Pure and Applied Geophysics, 172, 1975-1984.‏

Elmizadeh, H., Mah Ojer, O, Saadatmand, M., (2014). Investigating the Fractal Theory in the Geomorphology of Rivers (case study: Zarrineroud). Quantitative Geomorphological Researches, 3 (2), 130-141. (In Persian)

Elmizadeh, H., Mahpeykar, O., (2017). Fractal Analysis in Zarrineroud River Using Box-Counting Method. Geographic Space. 17(59), 255-270. (In Persian)

Esfandiyari Darabad, F., Bakhshandeh, R., Rahimi, M., Haji, K., & Mostafazadeh, R. (2021). Geomorphological classification and analysis of Hamzekhanloo River using the Rosgen classification model. Hydrogeomorphology, 7(25), 59-39. doi: 10.22034/hyd.2021.39301.1527 (In Persian)

Esfandiyari darabad, F., Hamzeei, M., Alaei, N., & Mostafazadeh, R. (2021). Spatial Variations of Landscape Metrics in Riparian Area Vegetation of Gharesou River Reaches under the Effect of Different Land Uses, Ardabil Province. Geographical Planning of Space, 10(38), 219-234. (In Persian)

Esfandyari Darabad, F., Asghari Saraskanroud, S., Ghandai Asl, M., & Mostafazadeh, R. (2022). Analyzing the lateral changes of Aras River channel in Ardabil province using morphological indicators. Journal of RS and GIS for Natural Resources, doi: 10.30495/girs.2022.697516 (In Persian)

Esfandyari-darabad F, Mostafazadeh R, Abyat A, Naseri A. (2021) Determination of meanderpPattern in Gharehsou river using Sinuosity Coefficients and Central Angle in Anzab-Samian Bridge reach. Jouran of Heographical Sciences, 21 (61): 119-131. (In Persian)

Fattahi, M. H., Talebzadeh, Z., (2017). Synthetic Unit Hydrograph Based on Fractal characteristics of Watersheds, Water Engineering, 10(32), 87-97. (In Persian)

Fattahi, M., & Jahangiri, H. (2014). Studying the relations between the fractal properties of the river networks and the flow time series. Water Resources Engineering, 7(20), 1-10. (In Persian)

Feng, J., & Chen, Y. (2010). Spatiotemporal evolution of urban form and land-use structure in Hangzhou, China: evidence from fractals. Environment and planning B: Planning and design, 37(5), 838-856.

Fernández-Martínez, M., & Sánchez-Granero, M. A. (2015). How to calculate the Hausdorff dimension using fractal structures. Applied Mathematics and Computation, 264, 116-131.‏

Frankhauser, P. (2004). Comparing the morphology of urban patterns in Europe–a fractal approach. European Cities–Insights on outskirts, Report COST Action, 10, 79-105.

Ghadampour, Z., Kashkooli pour, M., & Rafiee, M. R. (2020). Relation of Fractal Dimension and Sinuosity coefficient in Meandering River. Journal of Hydraulics, 15(1), 13-24.

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Khosravi, A., Sepehr, A., & Abdollahzadeh, Z. (2017). Fractal Behavior and Its Relationship with Hydromorphometric Characteristics over Catchments of Binaloud Northern Hillslopes. Hydrogeomorphology, 3(9), 1-20. (In Persian)

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Maghsoudi, M., Sharafi, S., Maghami, Y., (2010). The process of changes in the morphological pattern of Khorram Abad River using RS, GIS and Auto Cad.  The Journal of Spatial Planning. 14 (3), 275-294. (In Persian)

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Moavi, M., & Elmizadeh, H. (2023). Investigation of drainage network of Ramhormoz basin using Tokunaga model and fractal dimension correlation. Hydrogeomorphology, 9(33), 20-1. doi: 10.22034/hyd.2022.49711.1618 (In Persian)

Mostafazadeh, R., Zabihi, M., & Adhami, M. (2017). Spatial and temporal analysis of monthly precipitation variations ‎in Golestan Province using fractal dimension. Watershed Engineering and Management, 9(1), 34-45. doi: 10.22092/ijwmse.2017.108757. (In Persian)

Nguyen, T. T., Hoffmann, E., & Buerkert, A. (2022). Spatial patterns of urbanizing landscapes in the North Indian Punjab show features predicted by fractal theory. Scientific reports, 12(1), 1819.

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Shen, X. H., Zhou, L. J., Li, H. S., Shen, Z. Y., & Yang, S. F. (2002). A Successive shift box-counting method for calculating fractal dimensions and its application in identification of faults. Acta Geologica Sinica-English Edition, 76(2), 257-263.‏

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Thomas, I., Frankhauser, P., & De Keersmaecker, M. L. (2007). Fractal dimension versus density of built‐up surfaces in the periphery of Brussels. Papers in regional science, 86(2), 287-308.

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Zhu, J., Yu, X., Li, J. & Zhang, Z., (2009). Improved method for computing fractal dimension of river networks based on image analysis and its application. Geo -Information Science, 11:610 -616.