IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v91y2016icp310-318.html
   My bibliography  Save this article

Fractal analysis for studying the evolution of forests

Author

Listed:
  • Andronache, Ion C.
  • Ahammer, Helmut
  • Jelinek, Herbert F.
  • Peptenatu, Daniel
  • Ciobotaru, Ana-M.
  • Draghici, Cristian C.
  • Pintilii, Radu D.
  • Simion, Adrian G.
  • Teodorescu, Camelia

Abstract

Deforestation is an important phenomenon that may create major imbalances in ecosystems. In this study we propose a new mathematical analysis of the forest area dynamic, enabling qualitative as well as quantitative statements and results. Fractal dimensions of the area and the perimeter of a forest were determined using digital images. The difference between fractal dimensions of the area and the perimeter images turned out to be a crucial quantitative parameter. Accordingly, we propose a new fractal fragmentation index, FFI, which is based on this difference and which highlights the degree of compaction or non-compaction of the forest area in order to interpret geographic features. Particularly, this method was applied to forests, where large areas have been legally or illegally deforested. However, these methods can easily be used for other ecological or geographical investigations based on digital images, including deforestation of rainforests.

Suggested Citation

  • Andronache, Ion C. & Ahammer, Helmut & Jelinek, Herbert F. & Peptenatu, Daniel & Ciobotaru, Ana-M. & Draghici, Cristian C. & Pintilii, Radu D. & Simion, Adrian G. & Teodorescu, Camelia, 2016. "Fractal analysis for studying the evolution of forests," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 310-318.
    • Handle: RePEc:eee:chsofr:v:91:y:2016:i:c:p:310-318
    DOI: 10.1016/j.chaos.2016.06.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077916302120
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2016.06.013?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dang Phan, Thu-Ha & Brouwer, Roy & Davidson, Marc, 2014. "The economic costs of avoided deforestation in the developing world: A meta-analysis," Journal of Forest Economics, Elsevier, vol. 20(1), pages 1-16.
    2. Chomitz, Kenneth M & Kumari, Kanta, 1998. "The Domestic Benefits of Tropical Forests: A Critical Review," The World Bank Research Observer, World Bank, vol. 13(1), pages 13-35, February.
    3. Roger Sedjo & Joe Wisniewski & Alaric Sample & John Kinsman, 1995. "The economics of managing carbon via forestry: Assessment of existing studies," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 6(2), pages 139-165, September.
    4. Philipp Kainz & Michael Mayrhofer-Reinhartshuber & Helmut Ahammer, 2015. "IQM: An Extensible and Portable Open Source Application for Image and Signal Analysis in Java," PLOS ONE, Public Library of Science, vol. 10(1), pages 1-28, January.
    5. Zhang, Jian & Alavalapati, Janaki R.R. & Shrestha, Ram K. & Hodges, Alan W., 2005. "Economic impacts of closing national forests for commercial timber production in Florida and Liberty County," Journal of Forest Economics, Elsevier, vol. 10(4), pages 207-223, February.
    6. Goio, Ilaria & Gios, Geremia & Pollini, Claudio, 2008. "The development of forest accounting in the province of Trento (Italy)," Journal of Forest Economics, Elsevier, vol. 14(3), pages 177-196, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Andreea Karina GRUIA & Alexandra GRECU & Marian MARIN & Roxana Andreea RADU & Vlad LOGHIN, 2017. "Spatial Dynamics Of The Creative Economies In Romania," Proceedings of the INTERNATIONAL MANAGEMENT CONFERENCE, Faculty of Management, Academy of Economic Studies, Bucharest, Romania, vol. 11(1), pages 586-594, November.
    2. Alexandra GRECU & Andreea Karina GRUIA & Ana-Maria CIOBOTARU & Ion ANDRONACHE & Adrian Gabriel SIMION, 2017. "Structural Dynamics Of Economic Profile In Spa Resorts Of Romania," Proceedings of the INTERNATIONAL MANAGEMENT CONFERENCE, Faculty of Management, Academy of Economic Studies, Bucharest, Romania, vol. 11(1), pages 550-560, November.
    3. Alexandru-Ionuţ Petrişor & Walid Hamma & Huu Duy Nguyen & Giovanni Randazzo & Anselme Muzirafuti & Mari-Isabella Stan & Van Truong Tran & Roxana Aştefănoaiei & Quang-Thanh Bui & Dragoş-Florian Vintilă, 2020. "Degradation of Coastlines under the Pressure of Urbanization and Tourism: Evidence on the Change of Land Systems from Europe, Asia and Africa," Land, MDPI, vol. 9(8), pages 1-43, August.
    4. Ana-Maria Ciobotaru & Ion Andronache & Helmut Ahammer & Marko Radulovic & Daniel Peptenatu & Radu-Daniel Pintilii & Cristian-Constantin Drăghici & Marian Marin & Donatella Carboni & Gavino Mariotti & , 2019. "Application of Fractal and Gray-Level Co-Occurrence Matrix Indices to Assess the Forest Dynamics in the Curvature Carpathians—Romania," Sustainability, MDPI, vol. 11(24), pages 1-18, December.
    5. Ion Andronache, 2024. "Analysis of Forest Fragmentation and Connectivity Using Fractal Dimension and Succolarity," Land, MDPI, vol. 13(2), pages 1-29, January.
    6. Karina Andreea Gruia & Razvan-Cătălin Dobrea & Cezar-Petre Simion & Cristina Dima & Alexandra Grecu & Oana Simona Hudea & Marian Marin & Ion Andronache & Daniel Peptenatu, 2019. "The Use of Sholl and Kolmogorov Complexity Analysis in Researching on the Sustainable Development of Creative Economies in the Development Region of Bucharest‒Ilfov, Romania," Sustainability, MDPI, vol. 11(22), pages 1-19, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. C.C. Draghici & D. Peptenatu & A.G. Simion & R.D. Pintilii & D.C. Diaconu & C. Teodorescu & R.M. Papuc & A.M. Grigore & C.R. Dobrea, 2016. "Assessing economic pressure on the forest fund of Maramureș County - Romania," Journal of Forest Science, Czech Academy of Agricultural Sciences, vol. 62(4), pages 175-185.
    2. Gren, Ing-Marie & Tirkaso, Wondmagegn, 2021. "Costs and equity of uncertain greenhouse gas reductions – fuel, food and negative emissions in Sweden," Energy Economics, Elsevier, vol. 104(C).
    3. Dang Phan, Thu-Ha & Brouwer, Roy & Davidson, Marc, 2014. "The economic costs of avoided deforestation in the developing world: A meta-analysis," Journal of Forest Economics, Elsevier, vol. 20(1), pages 1-16.
    4. Cho, Seong-Hoon & Lee, Juhee & Roberts, Roland & Yu, Edward T. & Armsworth, Paul R., 2018. "Impact of market conditions on the effectiveness of payments for forest-based carbon sequestration," Forest Policy and Economics, Elsevier, vol. 92(C), pages 33-42.
    5. Golub, Alexander & Herrera, Diego & Leslie, Gabriela & Pietracci, Breno & Lubowski, Ruben, 2021. "A real options framework for reducing emissions from deforestation: Reconciling short-term incentives with long-term benefits from conservation and agricultural intensification," Ecosystem Services, Elsevier, vol. 49(C).
    6. Yang, Hongqiang & Li, Xi, 2018. "Potential variation in opportunity cost estimates for REDD+ and its causes," Forest Policy and Economics, Elsevier, vol. 95(C), pages 138-146.
    7. Gren, Ing-Marie & Zeleke, Abenezer Aklilu, 2016. "Policy design for forest carbon sequestration: A review of the literature," Forest Policy and Economics, Elsevier, vol. 70(C), pages 128-136.
    8. Withey, P. & Lantz, V.A. & Ochuodho, T. & Patriquin, M.N. & Wilson, J. & Kennedy, M., 2018. "Economic impacts of conservation area strategies in Alberta, Canada: A CGE model analysis," Journal of Forest Economics, Elsevier, vol. 33(C), pages 33-40.
    9. Grilli, Gianluca & Fratini, Roberto & Marone, Enrico & Sacchelli, Sandro, 2020. "A spatial-based tool for the analysis of payments for forest ecosystem services related to hydrogeological protection," Forest Policy and Economics, Elsevier, vol. 111(C).
    10. Regan, Courtney M. & Connor, Jeffery D. & Summers, David M. & Settre, Claire & O’Connor, Patrick J. & Cavagnaro, Timothy R., 2020. "The influence of crediting and permanence periods on Australian forest-based carbon offset supply," Land Use Policy, Elsevier, vol. 97(C).
    11. McKenney, Daniel W. & Yemshanov, Denys & Fox, Glenn & Ramlal, Elizabeth, 2004. "Cost estimates for carbon sequestration from fast growing poplar plantations in Canada," Forest Policy and Economics, Elsevier, vol. 6(3-4), pages 345-358, June.
    12. Cunha, Felipe Arias Fogliano de Souza & Börner, Jan & Wunder, Sven & Cosenza, Carlos Alberto Nunes & Lucena, André F.P., 2016. "The implementation costs of forest conservation policies in Brazil," Ecological Economics, Elsevier, vol. 130(C), pages 209-220.
    13. Vidale, E & Pettenella, D & Gatto, P & Secco, L, 23. "What can we sell behind timber production?," Scandinavian Forest Economics: Proceedings of the Biennial Meeting of the Scandinavian Society of Forest Economics, Scandinavian Society of Forest Economics, issue 44, May.
    14. Samuel GUERINEAU & Pascale COMBES MOTEL & Jean-Louis COMBES, 2008. "Deforestation and credit cycles in Latin American countries," Working Papers 200808, CERDI.
    15. Sekela Twisa & Manfred F. Buchroithner, 2019. "Land-Use and Land-Cover (LULC) Change Detection in Wami River Basin, Tanzania," Land, MDPI, vol. 8(9), pages 1-15, September.
    16. Häyhä, Tiina & Franzese, Pier Paolo & Paletto, Alessandro & Fath, Brian D., 2015. "Assessing, valuing, and mapping ecosystem services in Alpine forests," Ecosystem Services, Elsevier, vol. 14(C), pages 12-23.
    17. N. Zafirah & N. A. Nurin & M. S. Samsurijan & M. H. Zuknik & M. Rafatullah & M. I. Syakir, 2017. "Sustainable Ecosystem Services Framework for Tropical Catchment Management: A Review," Sustainability, MDPI, vol. 9(4), pages 1-25, April.
    18. Miettinen, Jenni & Ollikainen, Markku & Nieminen, Tiina M. & Ukonmaanaho, Liisa & Laurén, Ari & Hynynen, Jari & Lehtonen, Mika & Valsta, Lauri, 2014. "Whole-tree harvesting with stump removal versus stem-only harvesting in peatlands when water quality, biodiversity conservation and climate change mitigation matter," Forest Policy and Economics, Elsevier, vol. 47(C), pages 25-35.
    19. Nelson, Andrew & Chomitz, Kenneth M., 2004. "The forest-hydrology-poverty nexus in Central America : An heuristic analysis," Policy Research Working Paper Series 3430, The World Bank.
    20. Lauren Gifford, 2020. "“You can’t value what you can’t measure”: a critical look at forest carbon accounting," Climatic Change, Springer, vol. 161(2), pages 291-306, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:91:y:2016:i:c:p:310-318. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.