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Comparison of multinomial logistic regression and logistic regression: which is more efficient in allocating land use?

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Abstract

Spatially explicit simulation of land use change is the basis for estimating the effects of land use and cover change on energy fluxes, ecology and the environment. At the pixel level, logistic regression is one of the most common approaches used in spatially explicit land use allocation models to determine the relationship between land use and its causal factors in driving land use change, and thereby to evaluate land use suitability. However, these models have a drawback in that they do not determine/allocate land use based on the direct relationship between land use change and its driving factors. Consequently, a multinomial logistic regression method was introduced to address this flaw, and thereby, judge the suitability of a type of land use in any given pixel in a case study area of the Jiangxi Province, China. A comparison of the two regression methods indicated that the proportion of correctly allocated pixels using multinomial logistic regression was 92.98%, which was 8.47% higher than that obtained using logistic regression. Paired t-test results also showed that pixels were more clearly distinguished by multinomial logistic regression than by logistic regression. In conclusion, multinomial logistic regression is a more efficient and accurate method for the spatial allocation of land use changes. The application of this method in future land use change studies may improve the accuracy of predicting the effects of land use and cover change on energy fluxes, ecology, and environment.

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References

  • Alabi M O (2011). Analytical approach to examining drivers of residential land use development in Lokoja, Nigeria. British Journal of Educational Research, 1(2): 144–152

    Google Scholar 

  • Bahadur K C K (2011). Linking physical, economic and institutional constraints of land use change and forest conservation in the hills of Nepal. For Policy Econ, 13(8): 603–613

    Article  Google Scholar 

  • Braimoh A K, Onishi T (2007). Spatial determinants of urban land use change in Lagos, Nigeria. Land Use Policy, 24(2): 502–515

    Article  Google Scholar 

  • Briz T, Ward R W (2009). Consumer awareness of organic products in Spain: an application of multinomial logit models. Food Policy, 34(3): 295–304

    Article  Google Scholar 

  • Cao K, Ye X Y (2013). Coarse-grained parallel genetic algorithm applied to a vector based land use allocation optimization problem: the case study of Tongzhou Newtown, Beijing, China. Stochastic Environ Res Risk Assess, 27(5): 1133–1142

    Article  Google Scholar 

  • Chatterjee S, Price B (1991). Regression Analysis by Example. New York: John Wiley & Sons, 85–120

    Google Scholar 

  • Chen B, Chen G Q, Yang Z F (2006). Exergy-based resource accounting for China. Ecol Modell, 196(3–4): 313–328

    Article  Google Scholar 

  • Chen Y Q, Verburg P H (2000). Modeling land use change and its effects by GIS. Ecologic Sci, 19(3): 1–7

    Google Scholar 

  • Choi S W, Sohngen B, Alig R (2011). An assessment of the influence of bioenergy and marketed land amenity values on land uses in the Midwestern US. Ecol Econ, 70(4): 713–720

    Article  Google Scholar 

  • Claessens L, Schoorl J M, Verburg P H, Geraedts L, Veldkamp A (2009). Modelling interactions and feedback mechanisms between land use change and landscape processes. Agric Ecosyst Environ, 129(1–3): 157–170

    Article  Google Scholar 

  • Dakin H A, Devlin N J, Odeyemi I A O (2006). “Yes”, “No” or “Yes, but”? Multinomial modelling of NICE decision-making. Health Policy, 77(3): 352–367

    Article  Google Scholar 

  • dell’Olio L, Ibeas A, Cecin P (2011). The quality of service desired by public transport users. Transp Policy, 18(1): 217–227

    Article  Google Scholar 

  • Deng X Z, Huang J K, Rozells S, Uchida E (2008). Growth, population and industrialization, and urban land expansion of China. J Urban Econ, 63(1): 96–115

    Article  Google Scholar 

  • Duan Z Q, Verburg P H, Zhang F R, Yu Z R (2004). Construction of a land-use change simulation model and its application in Haidian District, Beijing. Acta Geogr Sin, 59(6): 1037–1047

    Google Scholar 

  • Feng Z M, Yang Y Z, Zhang Y Q, Zhang P T, Li Y Q (2005). Grain-for-green policy and its impacts on grain supply in West China. Land Use Policy, 22(4): 301–312

    Article  Google Scholar 

  • Gellrich M, Baur P, Koch B, Zimmermann N E (2007). Agricultural land abandonment and natural forest re-growth in the Swiss mountains: a spatially explicit economic analysis. Agric Ecosyst Environ, 118(1–4): 93–108

    Article  Google Scholar 

  • Geoghegan J, Villar S C, Klepeis P, Mendoza P M, Ogneva-Himmelberger Y, Chowdhury R R, Turner B L II, Vance C (2001). Modeling tropical deforestation in the southern Yucatán peninsular region: comparing survey and satellite data. Agric Ecosyst Environ, 85(1–3): 25–46

    Article  Google Scholar 

  • Han J G, Zhang Y J, Wang C J, Bai W M, Wang Y R, Han G D, Li L H (2008). Rangeland degradation and restoration management in China. Rangeland J, 30(2): 233–239

    Article  Google Scholar 

  • Hosmer D, Lemeshow S (2000). Applied Logistic Regression. New York: John Wiley & Sons, 31–46

    Book  Google Scholar 

  • Hsu H, Lachenbruch P A (2008). Paired t Test. Wiley Encyclopedia of Clinical Trials, 1–3

    Google Scholar 

  • Jiang Y, Liu J, Cui Q, An X H, Wu C X (2011). Land use/land cover change and driving force analysis in Xishuangbanna Region in 1986–2008. Frontiers of Earth Science, 5(3): 288–293

    Google Scholar 

  • Kalnay E, Cai M (2003). Impact of urbanization and land-use change on climate. Nature, 423(6939): 528–531

    Article  Google Scholar 

  • Lam F C, Longnecker M T (1983). A modified Wilcoxon rank sum test for paired data. Biometrika, 70(2): 510–513

    Article  Google Scholar 

  • Lin Y P, Chu H J, Wu C F, Verburg P H (2011). Predictive ability of logistic regression, auto-logistic regression and neural network models in empirical land-use change modeling: a case study. Int J Geogr Inf Sci, 25(1): 65–87

    Article  Google Scholar 

  • Liu J Y, Zhang Z X, Zhuang D F, Wang YM, Zhou WC, Zhang SW, Li R D, Jiang N, Wu S X (2003). A study on the spatial-temporal dynamic changes of land-use and driving forces analyses of China in the 1990s. Geographical Research, 22(1): 1–12 (in Chinese)

    Google Scholar 

  • Luce R D (1959). Individual Choice Behavior: A Theoretical Analysis. New York: John Wiley & Sons, 139–141

    Google Scholar 

  • McFadden D (1974). Conditional logit analysis of qualitative choice behavior. In: Zarembka P, ed. Frontiers in Econometrics. New York: Academic Press, 105–142

    Google Scholar 

  • Meiyappan P, Jain A K (2012). Three distinct global estimates of historical land-cover change and land-use conversions for over 200 years. Frontiers of Earth Science, 6(2): 122–139

    Article  Google Scholar 

  • Millington J D A, Perry G L W, Romero-Calcerrada R (2007). Regression techniques for examining land use/cover change: a case study of a Mediterranean landscape. Ecosystems (N. Y.), 10(4): 562–578

    Article  Google Scholar 

  • Nahuelhual L, Carmona A, Lara A, Echeverría C, González M E (2012). Land-cover change to forest plantations: proximate causes and implications for the landscape in south-central Chile. Landsc Urban Plan, 107(1): 12–20

    Article  Google Scholar 

  • Ostwald M, Chen D L (2006). Land-use change: impacts of climate variations and policies among small-scale farmers in the Loess Plateau, China. Land Use Policy, 23(4): 361–371

    Article  Google Scholar 

  • Pielke R A Sr (2005). Atmospheric science. Land use and climate change. Science, 310(5754): 1625–1626

    Google Scholar 

  • Pueyo Y, Beguería S (2007). Modelling the rate of secondary succession after farmland abandonment in a Mediterranean mountain area. Landsc Urban Plan, 83(4): 245–254

    Article  Google Scholar 

  • Rozelle S, Huang J K, Zhang L X (1997). Poverty, population and environmental degradation in China. Food Policy, 22(3): 229–251

    Article  Google Scholar 

  • Schaldach R, Alcamo J (2006). Coupled simulation of regional land use change and soil carbon sequestration: a case study for the state of Hesse in Germany. Environ Model Softw, 21(10): 1430–1446

    Article  Google Scholar 

  • Serneels S, Lambin E F (2001). Proximate causes of land use change in Narok district Kenya: a spatial statistical model. Agric Ecosyst Environ, 85(1–3): 65–81

    Article  Google Scholar 

  • Sohl T L, Sleeter B M, Zhu Z L, Sayler K L, Bennett S, Bouchard M, Reker R, Hawbaker T, Wein A, Liu S G, Kanengieter R, Acevedo W (2012). A land-use and land-cover modeling strategy to support a national assessment of carbon stocks and fluxes. Appl Geogr, 34: 111–124

    Article  Google Scholar 

  • van Doorn A M, Bakker M M (2007). The destination of arable land in a marginal agricultural landscape in South Portugal: an exploration of land use change determinants. Landscape Ecol, 22(7): 1073–1087

    Article  Google Scholar 

  • Verburg P H, Overmars K P (2009). Combining top-down and bottom-up dynamics in land use modeling: exploring the future of abandoned farmlands in Europe with the Dyna-CLUE model. Landscape Ecol, 24(9): 1167–1181

    Article  Google Scholar 

  • Verburg P H, Soepboer W, Veldkamp A, Limpiada R, Espaldon V, Mastura S S (2002). Modeling the spatial dynamics of regional land use: the CLUE-S model. Environ Manage, 30(3): 391–405

    Article  Google Scholar 

  • Verburg P H, Veldkamp A (2004). Projecting land use transitions at forest fringes in the Philippines at two spatial scales. Landscape Ecol, 19(1): 77–98

    Article  Google Scholar 

  • Walsh S J, Messina J P, Mena C F, Malanson G P, Page P H (2008). Complexity theory, spatial simulation models, and land use dynamics in the Northern Ecuadorian Amazon. Geoforum, 39(2): 867–878

    Article  Google Scholar 

  • Wang J, Chen Y Q, Shao X M, Zhang Y Y, Cao Y G (2012). Land-use changes and policy dimension driving forces in China: present, trend and future. Land Use Policy, 29(4): 737–749

    Article  Google Scholar 

  • Williams N S G (2007). Environmental, landscape and social predictors of native grassland loss in western Victoria, Australia. Biol Conserv, 137(2): 308–318

    Article  Google Scholar 

  • Wu G P, Zeng Y N, Feng X Z, Xiao P F, Wang K (2010). Dynamic simulation of land use change based on the improved CLUE-S model: a case study of Yongding County, Zhangjiajie. Geographical Research, 29(3): 460–470 (in Chinese)

    Google Scholar 

  • Zhan J Y, Shi N N, He S J, Lin Y Z (2010). Factors and mechanism driving the land-use conversion in Jiangxi Province. J Geogr Sci, 20(4): 525–539

    Article  Google Scholar 

  • Zhong T Y, Huang X J, Zhang X Y, Wang K (2011). Temporal and spatial variability of agricultural land loss in relation to policy and accessibility in a low hilly region of southeast China. Land Use Policy, 28(4): 762–769

    Article  Google Scholar 

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Correspondence to Yingzhi Lin.

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Lin, Y., Deng, X., Li, X. et al. Comparison of multinomial logistic regression and logistic regression: which is more efficient in allocating land use?. Front. Earth Sci. 8, 512–523 (2014). https://doi.org/10.1007/s11707-014-0426-y

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