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

Yingzhi LIN, Xiangzheng DENG, Xing LI, Enjun MA

PDF(1150 KB)
PDF(1150 KB)
Front. Earth Sci. ›› 2014, Vol. 8 ›› Issue (4) : 512-523. DOI: 10.1007/s11707-014-0426-y
RESEARCH ARTICLE
RESEARCH ARTICLE

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

Author information +
History +

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.

Keywords

multinomial logistic regression / land use change / logistic regression / land use suitability / land use allocation

Cite this article

Download citation ▾
Yingzhi LIN, Xiangzheng DENG, Xing LI, Enjun MA. Comparison of multinomial logistic regression and logistic regression: which is more efficient in allocating land use?. Front. Earth Sci., 2014, 8(4): 512‒523 https://doi.org/10.1007/s11707-014-0426-y

References

[1]
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
[2]
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
CrossRef Google scholar
[3]
Braimoh A K, Onishi T (2007). Spatial determinants of urban land use change in Lagos, Nigeria. Land Use Policy, 24(2): 502–515
CrossRef Google scholar
[4]
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
CrossRef Google scholar
[5]
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
CrossRef Google scholar
[6]
Chatterjee S, Price B (1991). Regression Analysis by Example. New York: John Wiley & Sons, 85–120
[7]
Chen B, Chen G Q, Yang Z F (2006). Exergy-based resource accounting for China. Ecol Modell, 196(3–4): 313–328
CrossRef Google scholar
[8]
Chen Y Q, Verburg P H (2000). Modeling land use change and its effects by GIS. Ecologic Sci, 19(3): 1–7
[9]
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
CrossRef Google scholar
[10]
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
CrossRef Google scholar
[11]
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
CrossRef Pubmed Google scholar
[12]
dell’Olio L, Ibeas A, Cecin P (2011). The quality of service desired by public transport users. Transp Policy, 18(1): 217–227
CrossRef Google scholar
[13]
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
CrossRef Google scholar
[14]
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
[15]
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
CrossRef Google scholar
[16]
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
CrossRef Google scholar
[17]
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
CrossRef Google scholar
[18]
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
CrossRef Google scholar
[19]
Hosmer D, Lemeshow S (2000). Applied Logistic Regression. New York: John Wiley & Sons, 31–46
[20]
Hsu H, Lachenbruch P A (2008). Paired t Test. Wiley Encyclopedia of Clinical Trials, 1–3
[21]
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
[22]
Kalnay E, Cai M (2003). Impact of urbanization and land-use change on climate. Nature, 423(6939): 528–531
CrossRef Pubmed Google scholar
[23]
Lam F C, Longnecker M T (1983). A modified Wilcoxon rank sum test for paired data. Biometrika, 70(2): 510–513
CrossRef Google scholar
[24]
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
CrossRef Google scholar
[25]
Liu J Y, Zhang Z X, Zhuang D F, Wang Y M, Zhou W C, Zhang S W, 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)
[26]
Luce R D (1959). Individual Choice Behavior: A Theoretical Analysis. New York: John Wiley & Sons, 139–141
[27]
McFadden D (1974). Conditional logit analysis of qualitative choice behavior. In: Zarembka P, ed. Frontiers in Econometrics. New York: Academic Press, 105–142
[28]
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
CrossRef Google scholar
[29]
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
CrossRef Google scholar
[30]
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
CrossRef Google scholar
[31]
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
CrossRef Google scholar
[32]
Pielke R A Sr (2005). Atmospheric science. Land use and climate change. Science, 310(5754): 1625–1626
CrossRef Pubmed Google scholar
[33]
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
CrossRef Google scholar
[34]
Rozelle S, Huang J K, Zhang L X (1997). Poverty, population and environmental degradation in China. Food Policy, 22(3): 229–251
CrossRef Pubmed Google scholar
[35]
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
CrossRef Google scholar
[36]
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
CrossRef Google scholar
[37]
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
CrossRef Google scholar
[38]
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
CrossRef Google scholar
[39]
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
CrossRef Google scholar
[40]
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
CrossRef Pubmed Google scholar
[41]
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
CrossRef Google scholar
[42]
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
CrossRef Google scholar
[43]
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
CrossRef Google scholar
[44]
Williams N S G (2007). Environmental, landscape and social predictors of native grassland loss in western Victoria, Australia. Biol Conserv, 137(2): 308–318
CrossRef Google scholar
[45]
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)
[46]
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
CrossRef Google scholar
[47]
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
CrossRef Google scholar

Acknowledgements

This research was financially supported by the National Basic Research of China (2010CB950900) and the National Natural Science Foundation of China (Grant Nos. 71225005 and 41071343). Two anonymous reviewers are sincerely acknowledged for their valuable comments which have significantly improved the manuscript.

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
AI Summary AI Mindmap
PDF(1150 KB)

Accesses

Citations

Detail

Sections
Recommended

/