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Exploring the Scale Effects of Trade-Offs and Synergies of Multifunctional Cultivated Land—Evidence from Wuhan Metropolitan Area

Abstract: The purpose of this paper is to explore the trade-offs and synergies of multifunctional cultivated land (MCL) at multiple scales. The study area is Wuhan Metropolitan Area, China. The entropy method and the method of Spearman's rank correlation were employed for the analysis of combined land use/cover data, administrative division data, population data and statistical yearbook data, from the multi-scale perspectives of cities, counties and townships. The results showed that: (1) The multi-functionality of cultivated land had obvious spatial differences and its overall spatial patterns were relatively robust, which did not change very much at the single scale. (2) At each single scale, the MCL's trade-offs and synergies had spatial heterogeneity. (3) Scale effects existed in the MCL's trade-offs and synergies. From the prefecture-level city scale, to the county scale, and to the township scale, the MCL's trade-offs were changed to synergies, and some synergic relationships were enhanced. This article contributes to the literature by deepening the multiscale analysis of trade-offs and synergies of multifunctional cultivated land. The conclusions might provide a basis for helping policy-makers to implement protection measures for the multi-functionality of cultivated land at the right spatial scale, and to promote the higher-level synergies of multifunctional cultivated land to realize its sustainable use.