A nonlinear dynamic simulative model has been discussed with variable cycles of entire world per capita ecological footprint taken from 1961 to 2003. The model was further classified and decomposed and extracted by the empirical mode decomposition (EMD) method. To deal with the problems proposed in the Living Planet Report 2006, three ecological footprint scenarios are presented. Simulative numerical values of the three global per capita (GPC) ecological footprint scenarios are also analyzed based on the simulative model. The results show that: 1) The clear varying cycle of global per capita EF growth is 4.6 years, 9.5 years, 19.5 years and 41 years over the last 42 years; 2) According to the business-as-usual scenario, if the global per capita increases positively with the constant growth, it is expected that GPC EF would be 3.262 gha in 2050. Assuming global per capita biocapacity (BC) to be 1.236 gha, global per capita ecological deficit (ED) would increase from 0.4 gha in 2003 to 2.026 gha in 2050; 3) The slow-shift scenario shows global per capita EF would decrease from 2.23 gha in 2003 to 1.619 gha in 2080 and 1.406 gha in 2100, if the negative annual change rate of it is 0.447 percent. Global per capita ED would decrease from 0.4 gha in 2003 to 0.222 gha in 2080 and 0.038 gha in 2100, if global per capita BC is 1.397 gha; 4) The rapid-reduction scenario depicts global per capita EF would decrease to 1.414 gha in 2050, if the negative annual change rate is 0.842% from 2003 to 2050. Assuming global per capita BC to be 1.461 gha, global per capita ecological reserve (ER) would be 0.047 gha, and overshoot would be eliminated in 2050. Global per capita EF would decrease to 1.054 gha in 2100, if the negative annual change rate is 0.438% from 2050 to 2100. Assuming global per capita BC to be 1.474 gha, GPC ER would be 0.420 gha. Then, wild species of the planet will be allocated nearly 28.5% of the planet’s biological productivity, which coincides with the results of Living Planet Report 2006.
References
[1]
Wackernagel, M., Monfreda, C., Erb, K.H., Haberl, H. and Schulz, N.B. (2004) Ecological Footprint Time Series of Austria, the Philippines, and South Korea for 1961-1999: Comparing the Conventional Approach to an “Actual Land Area” Approach. Land Use Policy, 21, 261-269.
https://doi.org/10.1016/j.landusepol.2003.10.007
[2]
Costanza, R., D’Arge, R., De Groot, R., Farber, S., Grasso, M. and Hannon, B. (1997) The Value of the World’s Ecosystem Services and Natural Capital. World Environment, 387, 253-260. https://doi.org/10.1038/387253a0
[3]
Hunter, C. and Shaw, J. (2007) The Ecological Footprint as a Key Indicator of Sustainable Tourism. Tourism Management, 28, 46-57.
https://doi.org/10.1016/j.tourman.2005.07.016
[4]
Chen, B. and Chen, G.Q. (2007) Modified Ecological Footprint Accounting and Analysis Based on Embodied Exergy—A Case Study of the Chinese Society 1981-2001. Ecological Economics, 61, 355-376.
https://doi.org/10.1016/j.ecolecon.2006.03.009
[5]
Monfreda, C., Wackernagel, M. and Deumling, D. (2004) Establishing National Natural Capital Accounts Based on Detailed Ecological Footprint and Biological Capacity Assessments. Land Use Policy, 21, 231-246.
https://doi.org/10.1016/j.landusepol.2003.10.009
[6]
Haberl, H., Erb, K.H. and Krausmann, F. (2004) How to Calculate and Interpret Ecological Footprints for Long Periods of Time: The Case of Austria 1926-1995. Ecological Economics, 38, 25-45. https://doi.org/10.1016/S0921-8009(01)00152-5
[7]
Ferng, J.J. (2001) Using Composition of Land Multiplier to Estimate Ecological Footprint Associated with Production Activity. Ecological Economics, 37, 159-172.
https://doi.org/10.1016/S0921-8009(00)00292-5
[8]
Wackernagel, M., Monfreda, C., Schulz, N.B., Erb, K.H., Haberl, H. and Krausmann, F. (2004) Calculating National and Global Ecological Footprint Time Series: Resolving Conceptual Challenges. Land Use Policy, 21, 271-278.
https://doi.org/10.1016/j.landusepol.2003.10.006
[9]
Lin, Z.S. and Wang, S.G. (2004) EMD Analysis of Northern Hemisphere Temperature Variability during Last 4 Centuries. Journal of Tropical Meteorology, 20, 90-96.
[10]
Farge, M. (1992) Wavelet Transforms and Their Applications to Turbulence. Annual Review of Fluid Mechanics, 24, 395-457.
https://doi.org/10.1146/annurev.fl.24.010192.002143
[11]
Long, S.R., Lai, R.J., Huang, N.E. and Spedding, G.R. (1993) Blocking and Trapping of Waves in an Inhomogeneous Flow. Dynamics of Atmospheres and Oceans, 20, 79-106. https://doi.org/10.1016/0377-0265(93)90049-D
[12]
Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H. and Zheng, Q. (1998) The Empirical Mode Decomposition and the Hilbert Spectrum for Nonlinear and Non-Stationary Time Series Analysis. Proceedings A, 454, 903-995.
https://doi.org/10.1098/rspa.1998.0193
[13]
Huang, N.E., Shen, Z. and Long, S.R. (1998) A New View of Nonlinear Water Waves: The Hilbert Spectrum. Annual Review of Fluid Mechanics, 31,417-457.
https://doi.org/10.1146/annurev.fluid.31.1.417
[14]
Zhang, P., Wang, K., Zhang, W., Han, B. and Chen, L. (2013) Estimation and Comparison of Ecological Footprints of Urban Households’ Consumption with Different Income: A Case Study in Kaifeng City, Henan Province. Progress in Geography, 32, 1394-1400.
[15]
Liu, H.-Y., Lin, Z.-S. and Zhang, M.-Y. (2005) Analysis on the Fluctuation of Grain Output in China and Its Causes at Multi-Time Scale Based on Empirical Mode Decomposition Method. Journal of Natural Resources, 20, 745-751.
[16]
Wackernagel, M. (1995) Our Ecological Footprint: Reducing Human Impact on the Earth. Population & Environment, 1, 171-174.
[17]
Wackernagel, M. and Rees, W.E. (1997) Perceptual and Structural Barriers to Investing in Natural Capital: Economics from an Ecological Footprint Perspective. Ecological Economics, 20, 3-24. https://doi.org/10.1016/S0921-8009(96)00077-8
[18]
Wackernagel, M., Lewan, L. and Hansson, C.B. (1999) Evaluating the Use of Natural Capital with the Ecological Footprint. Ambio, 28, 604-612.
[19]
Mcdonald, G.W. and Patterson, M.G. (2004) Ecological Footprints and Interdependencies of New Zealand Regions. Ecological Economics, 50, 49-67.
https://doi.org/10.1016/j.ecolecon.2004.02.008
[20]
Hong, L., Dong, Z.P., Chunyu, H. and Gang, W. (2007) Evaluating the Effects of Embodied Energy in International Trade on Ecological Footprint in China. Ecological Economics, 62, 136-148. https://doi.org/10.1016/j.ecolecon.2006.06.007
[21]
WWF, UNEP-WCMC (2000) Redefining Progress, the Center for Sustainability Studies. Living Planet Report.
[22]
WWF, Zoological Society of London (2006) Global Footprint Network. Living Planet Report.
[23]
Huang, D.J., Zhao J.P. and Su, J.L. (2003) Practical Implementation of the Hilbert-Huang Transform Algorithm. Acta Oceanologica Sinica: English Version, 22, 1-14.
[24]
WWF, UNEP-WCMC (2002) Redefining Progress. Living Planet Report.
http://www.footprintnetwork.org
[25]
WWF, UNEP-WCMC (2004) Global Footprint Network. Living Planet Report.
[26]
Deng, Y.J., Wang, W., Qian, C.C., et al. (2001) Application of EMD and Process of Boundary in Hibert Transform. Chinese Science Bulletin, 46, 257-263.
https://doi.org/10.1007/BF02900475