Thermodynamic-based ecological scaling theory in urban metabolic framework: a review
Gengyuan Liu, Mingwan Wu
Thermodynamic-based ecological scaling theory in urban metabolic framework: a review
● Under thermodynamic, urban ecosystem fits scaling law due to self-organization.
● Urban ecosystem has similar scaling to social economic system.
● The scaling law transitions are reflected in the multistable coexistence.
Prior research has consistently demonstrated that urban economic and social systems adhere to the empirical scaling law. Furthermore, a plethora of evidence, including the scale-free networks of energy metabolism, the allometric growth patterns of species and populations, and the scaling law relationship between exergy and transformity in biosphere systems across various levels, indicates that urban ecosystems exhibit multi-level scaling law characteristics in energy metabolism under self-organization, alongside significant human activity imprints. This study synthesizes these findings to hypothesize that urban ecological components are also aligned with system-level scaling theory within the urban metabolism framework. This encompasses: 1) the existence of multistable coexistence and mutual transformation phenomena, mirroring the dynamic nature of scaling laws; and 2) a nuanced balance between the ecosystem and the socio-economic system, particularly in the realms of spatial competition and output efficiency. The ecosystem scaling theory hypotheses of urban metabolic processes offer a theoretical foundation for identifying ecological security tipping points, which are pivotal in the strategic decision-making for ecological planning and management in the future.
Ecosystem scaling theory / Urban metabolism / Complexity / Critical review
Gengyuan Liu is a full professor and the vice dean of the School of Environment at Beijing Normal University, China. His expertise lies in the fields of urban metabolism and ecological management. He serves as the Center Director for the Advances in Cleaner Production Network (ACPN) Regional Center for Asia, Africa, and Oceania and the Secretary-in-Chief for the China Chapter of the International Society for Advancement Emergy Research (ISAER). His contributions have been recognized through prestigious awards. Among these, he was honored with the first prize for the Science & Technology Progress Award and the second prize for the Natural Science Award of the Ministry of Education. In 2018, he was awarded the Advances in Cleaner Production Network Medal Award: Young Researcher in 2024, he was award the MAO YISHENG Beijing Youth Science and Technology Award
[1] |
Alberti M, Palkovacs E P, Roches S D, Meester L D, Brans K I, Govaert L, Grimm N B, Harris N C, Hendry A P, Schell C J.
CrossRef
Google scholar
|
[2] |
Alves D, Barreira A P, Guimarães M H, Panagopoulos T. (2016). Historical trajectories of currently shrinking Portuguese cities: a typology of urban shrinkage. Cities (London, England), 52: 20–29
CrossRef
Google scholar
|
[3] |
Arshad S, Hu S, Ashraf B N. (2018). Zipf’s law and city size distribution: a survey of the literature and future research agenda. Physica A: Statistical Mechanics and its Applications, 492: 75–92
CrossRef
Google scholar
|
[4] |
Auerbach F. (1913). Das gesetz der bevölkerungskonzentration: the law of population concentration. Petermanns Geographische Mitteilungen, 59: 74–76
|
[5] |
Batty M. (2008). The size, scale, and shape of cities. Science, 319(5864): 769–771
CrossRef
Google scholar
|
[6] |
BenedictM A, McMahon E T (2012). Green Infrastructure: Linking Landscapes and Communities. Washington, DC: Island Press
|
[7] |
Bettencourt L M. (2013). The origins of scaling in cities. Science, 340(6139): 1438–1441
CrossRef
Google scholar
|
[8] |
Bettencourt L M, Lobo J, Helbing D, Kühnert C, West G B. (2007). Growth, innovation, scaling, and the pace of life in cities. Proceedings of the National Academy of Sciences of the United States of America, 104(17): 7301–7306
CrossRef
Google scholar
|
[9] |
Bilal U, de Castro C P, Alfaro T, Barrientos-Gutierrez T, Barreto M L, Leveau C M, Martinez-Folgar K, Miranda J J, Montes F, Mullachery P.
CrossRef
Google scholar
|
[10] |
Bristow D, Kennedy C. (2015). Why do cities grow? Insights from nonequilibrium thermodynamics at the urban and global scales. Journal of Industrial Ecology, 19(2): 211–221
CrossRef
Google scholar
|
[11] |
Brown J H, Gillooly J F, Allen A P, Savage V M, West G B. (2004). Toward a metabolic theory of ecology. Ecology, 85(7): 1771–1789
CrossRef
Google scholar
|
[12] |
Brown M T, Campbell D E, de Vilbiss C, Ulgiati S. (2016). The geobiosphere emergy baseline: a synthesis. Ecological Modelling, 339: 92–95
CrossRef
Google scholar
|
[13] |
Brown M T, Ulgiati S. (2004). Energy quality, emergy, and transformity: H.T. Odum’s contributions to quantifying and understanding systems. Ecological Modelling, 178(1−2): 201–213
CrossRef
Google scholar
|
[14] |
Brown M T, Ulgiati S. (2016). Assessing the global environmental sources driving the geobiosphere: a revised emergy baseline. Ecological Modelling, 339: 126–132
CrossRef
Google scholar
|
[15] |
Chen S Q, Chen B. (2015). Urban energy consumption: different insights from energy flow analysis, input-output analysis and ecological network analysis. Applied Energy, 138: 99–107
CrossRef
Google scholar
|
[16] |
Chen Y, Liu G, Yan N, Yang Q, Gao H, Su L, Santagata R. (2023). Comprehensive evaluation of urban greenspace ecological values marketability through the spatial relationship between housing price and ecosystem services. Ecological Modelling, 484: 110482
CrossRef
Google scholar
|
[17] |
ConanM (2000). Environmentalism in Landscape Architecture. Washington, DC: Dumbarton Oaks
|
[18] |
Costanza R, de Groot R, Sutton P, van der Ploeg S, Anderson S J, Kubiszewski I, Farber S, Turner R K. (2014). Changes in the global value of ecosystem services. Global Environmental Change, 26: 152–158
CrossRef
Google scholar
|
[19] |
Cristiano S, Zucaro A, Liu G, Ulgiati S, Gonella F. (2020). On the systemic features of urban systems: a look at material flows and cultural dimensions to address post-growth resilience and sustainability. Frontiers in Sustainable Cities, 2: 12
CrossRef
Google scholar
|
[20] |
Cueva J, Yakouchenkova I A, Fröhlich K, Dermann A F, Dermann F, Köhler M, Grossmann J, Meier W, Bauhus J, Schroder D.
CrossRef
Google scholar
|
[21] |
Cui D, Zeng W H, Ma B R, Zhuo Y, Xie Y X. (2021). Ecological network analysis of an urban water metabolic system: integrated metabolic processes of physical and virtual water. Science of the Total Environment, 787: 147432
CrossRef
Google scholar
|
[22] |
Cumming G S. (2013). Scale mismatches and reflexive law. Ecology and Society, 18(1): 15
CrossRef
Google scholar
|
[23] |
Cumming G S, Cumming D H, Redman C L. (2006). Scale mismatches in social-ecological systems: causes, consequences, and solutions. Ecology and Society, 11(1): 14
CrossRef
Google scholar
|
[24] |
Cumming G S, Peterson G D. (2017). Unifying research on social–ecological resilience and collapse. Trends in Ecology & Evolution, 32(9): 695–713
|
[25] |
Damuth J. (1981). Population density and body size in mammals. Nature, 290(5808): 699–700
CrossRef
Google scholar
|
[26] |
Dasgupta R, Basu M, Hashimoto S, Estoque R C, Kumar P, Johnson B, Mitra B, Mitra P. (2022). Residents’ place attachment to urban green spaces in Greater Tokyo region: an empirical assessment of dimensionality and influencing socio-demographic factors. Urban Forestry & Urban Greening, 67: 127438
CrossRef
Google scholar
|
[27] |
Egerer M, Fouch N, Anderson E C, Clarke M. (2020). Socio-ecological connectivity differs in magnitude and direction across urban landscapes. Scientific Reports, 10(1): 4252
CrossRef
Google scholar
|
[28] |
ElZein Z, Abdou A, ElGawad I A. (2016). Constructed wetlands as a sustainable wastewater treatment method in communities. Procedia Environmental Sciences, 34: 605–617
CrossRef
Google scholar
|
[29] |
Fath B D, Asmus H, Asmus R, Baird D, Borrett S R, de Jonge V N, Ludovisi A, Niquil N, Scharler U M, Schückel U.
CrossRef
Google scholar
|
[30] |
Felipe-Lucia M R, Soliveres S, Penone C, Fischer M, Ammer C, Boch S, Boeddinghaus R S, Bonkowski M, Buscot F, Fiore-Donno A M.
CrossRef
Google scholar
|
[31] |
Feng F, Yang X, Jia B, Li X, Li X, Xu C, Wang K. (2024). Variability of urban fractional vegetation cover and its driving factors in 328 cities in China. Science China. Earth Sciences, 67(2): 466–482
CrossRef
Google scholar
|
[32] |
Galiana N, Lurgi M, Bastazini V A, Bosch J, Cagnolo L, Cazelles K, Claramunt-López B, Emer C, Fortin M, Grass I.
CrossRef
Google scholar
|
[33] |
Gao J, Li S. (2011). Detecting spatially non-stationary and scale-dependent relationships between urban landscape fragmentation and related factors using Geographically Weighted Regression. Applied Geography, 31(1): 292–302
CrossRef
Google scholar
|
[34] |
Gomez-Lievano A, Patterson-Lomba O, Hausmann R. (2017). Explaining the prevalence, scaling and variance of urban phenomena. Nature Human Behaviour, 1(1): 0012
CrossRef
Google scholar
|
[35] |
Gong P, Chen B, Li X, Liu H, Wang J, Bai Y, Chen J, Chen X, Fang L, Feng S.
CrossRef
Google scholar
|
[36] |
Govaert L, Fronhofer E A, Lion S, Eizaguirre C, Bonte D, Egas M, Hendry A P, de Brito Martins A, Melián C J, Raeymaekers J A.
CrossRef
Google scholar
|
[37] |
Gu C. (2019). Urbanization: processes and driving forces. Science China. Earth Sciences, 62(9): 1351–1360
CrossRef
Google scholar
|
[38] |
He L, Xie Z, Wu H, Liu Z, Zheng B, Wan W. (2024). Exploring the interrelations and driving factors among typical ecosystem services in the Yangtze River Economic Belt, China. Journal of Environmental Management, 351: 119794
CrossRef
Google scholar
|
[39] |
Johnson M T, Munshi-South J. (2017). Evolution of life in urban environments. Science, 358(6363): eaam8327
CrossRef
Google scholar
|
[40] |
Keuschnigg M, Mutgan S, Hedström P. (2019). Urban scaling and the regional divide. Science Advances, 5(1): eaav0042
CrossRef
Google scholar
|
[41] |
Kleiber M. (1947). Body size and metabolic rate. Physiological Reviews, 27(4): 511–541
CrossRef
Google scholar
|
[42] |
Koellner T, de Baan L, Beck T, Brandão M, Civit B, Margni M, Canals L M, Saad R, de Souza D M, Müller-Wenk R. (2013). UNEP-SETAC guideline on global land use impact assessment on biodiversity and ecosystem services in LCA. International Journal of Life Cycle Assessment, 18(6): 1188–1202
CrossRef
Google scholar
|
[43] |
Kowarik I. (2023). Urban biodiversity, ecosystems and the city. Insights from 50 years of the Berlin School of urban ecology. Landscape and Urban Planning, 240: 104877
CrossRef
Google scholar
|
[44] |
Lee D J, Brown M T. (2021). Estimating the value of global ecosystem structure and productivity: a geographic information system and emergy based approach. Ecological Modelling, 439: 109307
CrossRef
Google scholar
|
[45] |
Lei W, Jiao L, Xu G. (2022). Understanding the urban scaling of urban land with an internal structure view to characterize China’s urbanization. Land Use Policy, 112: 105781
CrossRef
Google scholar
|
[46] |
Lenton T M, Kohler T A, Marquet P A, Boyle R A, Crucifix M, Wilkinson D M, Scheffer M. (2021). Survival of the systems. Trends in Ecology & Evolution, 36(4): 333–344
CrossRef
Google scholar
|
[47] |
Li C, Fu B, Wang S, Stringer L C, Zhou W, Ren Z, Hu M, Zhang Y, Rodriguez-Caballero E, Weber B.
CrossRef
Google scholar
|
[48] |
Li R, Dong L, Zhang J, Wang X, Wang W, Di Z, Stanley H E. (2017). Simple spatial scaling rules behind complex cities. Nature Communications, 8(1): 1841
CrossRef
Google scholar
|
[49] |
Li T, Jin Y, Huang Y. (2022). Water quality improvement performance of two urban constructed water quality treatment wetland engineering landscaping in Hangzhou, China. Water Science and Technology, 85(5): 1454–1469
CrossRef
Google scholar
|
[50] |
Liu G, Yang Z, Giannetti B F, Casazza M, Agostinho F, Pan J, Yan N, Hao Y, Zhang L, Almeida C M. (2021). Energy constrains to increasing complexity in the biosphere. The Innovation, 2(4): 100169
CrossRef
Google scholar
|
[51] |
Liu J, Dietz T, Carpenter S R, Alberti M, Folke C, Moran E, Pell A N, Deadman P, Kratz T, Lubchenco J.
CrossRef
Google scholar
|
[52] |
Liu Z, Gao S, Cai W, Li Z, Wang C, Chen X, Ma Z, Zhao Z. (2023a). Projections of heat-related excess mortality in china due to climate change, population and aging. Frontiers of Environmental Science & Engineering, 17(11): 132
CrossRef
Google scholar
|
[53] |
LiuZ, SongJ, YuH, HongG (2022). Analysis of scaling law characteristics of Chinese urban parks. Chinese Landscape Architecture, 38(7): 50–55 (in Chinese)
|
[54] |
Liu Z, Wang S, Fang C. (2023b). Spatiotemporal evolution and influencing mechanism of ecosystem service value in the Guangdong-Hong Kong-Macao Greater Bay Area. Journal of Geographical Sciences, 33(6): 1226–1244
CrossRef
Google scholar
|
[55] |
Lobo J, Bettencourt L M, Smith M E, Ortman S. (2020). Settlement scaling theory: Bridging the study of ancient and contemporary urban systems. Urban Studies, 57(4): 731–747
CrossRef
Google scholar
|
[56] |
Loomis J, Kent P, Strange L, Fausch K, Covich A. (2000). Measuring the total economic value of restoring ecosystem services in an impaired river basin: results from a contingent valuation survey. Ecological Economics, 33(1): 103–117
CrossRef
Google scholar
|
[57] |
Lu M, Zhou C, Wang C, Jackson R B, Kempes C P. (2024). Worldwide scaling of waste generation in urban systems. Nature Cities, 1(2): 126–135
CrossRef
Google scholar
|
[58] |
Makarieva A M, Gorshkov V G, Li B. (2004). Body size, energy consumption and allometric scaling: a new dimension in the diversity–stability debate. Ecological Complexity, 1(2): 139–175
CrossRef
Google scholar
|
[59] |
MakarievaA M, GorshkovV G, LiB (2011). Have ecological human rights been globally lost? A conflict of ecological spatial requirements and cultural landscape opportunities in Modern Homo sapiens. In: Hong S K, Kim J E, Wu J, Nakagoshi N, eds. Landscape Ecology in Asian Cultures. Tokyo: Springer
|
[60] |
Marquet P A, Quiñones R A, Abades S, Labra F, Tognelli M, Arim M, Rivadeneira M. (2005). Scaling and power-laws in ecological systems. Journal of Experimental Biology, 208(9): 1749–1769
CrossRef
Google scholar
|
[61] |
McGarigalK (1995). FRAGSTATS: spatial pattern analysis program for quantifying landscape structure. Portland: US Department of Agriculture, Forest Service, Pacific Northwest Research Station
|
[62] |
Meng X, Jiang Z, Wang X, Long Y. (2021). Shrinking cities on the globe: Evidence from LandScan 2000–2019. Environment and Planning A: Economy and Space, 53(6): 1244–1248
CrossRef
Google scholar
|
[63] |
Meng X, Long Y. (2022). Shrinking cities in China: Evidence from the latest two population censuses 2010–2020. Environment and Planning A: Economy and Space, 54(3): 449–453
CrossRef
Google scholar
|
[64] |
Nelson E, Mendoza G, Regetz J, Polasky S, Tallis H, Cameron D R, Chan K, Daily G C, Goldstein J, Kareiva P M.
CrossRef
Google scholar
|
[65] |
Nieuwenhuijsen M J. (2016). Urban and transport planning, environmental exposures and health-new concepts, methods and tools to improve health in cities. Environmental Health, 15(S1): S38
CrossRef
Google scholar
|
[66] |
Niu Y, Yang J, Zhao Q, Gao Y, Xue T, Yin Q, Yin P, Wang J, Zhou M, Liu Q. (2023). The main and added effects of heat on mortality in 33 chinese cities from 2007 to 2013. Frontiers of Environmental Science & Engineering, 17(7): 81
CrossRef
Google scholar
|
[67] |
OdumH T (1971). Environment, Power, and Society. Hoboken: John Wiley & Sons Inc.
|
[68] |
Ortman S G, Lobo J, Smith M E. (2020). Cities: complexity, theory and history. PLoS One, 15(12): e0243621
CrossRef
Google scholar
|
[69] |
Ouyang X, Tang L, Wei X, Li Y. (2021). Spatial interaction between urbanization and ecosystem services in Chinese urban agglomerations. Land Use Policy, 109: 105587
CrossRef
Google scholar
|
[70] |
PattenB C, Mulholland R J, GowdyC M (197197). Systems analysis and simulation in ecology. New York: Academic Press
|
[71] |
Patten B C, Odum E P. (1981). The cybernetic nature of ecosystems. The American Naturalist, 118(6): 886–895
CrossRef
Google scholar
|
[72] |
PengJ, Tian L, LiuY X, ZhaoM Y, HuY N, WuJ S (2017). Ecosystem services response to urbanization in metropolitan areas: thresholds identification. Science of the Total Environment, 607–607: 706–714
|
[73] |
Perino G, Andrews B, Kontoleon A, Bateman I. (2014). The value of urban green space in Britain: a methodological framework for spatially referenced benefit transfer. Environmental and Resource Economics, 57(2): 251–272
CrossRef
Google scholar
|
[74] |
Piao S, Huang M, Liu Z, Wang X H, Ciais P, Canadell J G, Wang K, Bastos A, Friedlingstein P, Houghton R A.
CrossRef
Google scholar
|
[75] |
Piao S, Wang X, Park T, Chen C, Lian X U, He Y, Bjerke J W, Chen A, Ciais P, Tommervik H.
CrossRef
Google scholar
|
[76] |
Pickett S T, Cadenasso M L, Grove J M, Nilon C H, Pouyat R V, Zipperer W C, Costanza R. (2001). Urban ecological systems: linking terrestrial ecological, physical, and socioeconomic components of metropolitan areas. Annual Review of Ecology and Systematics, 32(1): 127–157
CrossRef
Google scholar
|
[77] |
Pinto-Ramos D, Clerc M G, Tlidi M. (2023). Topological defects law for migrating banded vegetation patterns in arid climates. Science Advances, 9(31): eadf6620
CrossRef
Google scholar
|
[78] |
Pulido Barrera P, Rosales Carreón J, de Boer H J. (2018). A multi-level framework for metabolism in urban energy systems from an ecological perspective. Resources, Conservation and Recycling, 132: 230–238
CrossRef
Google scholar
|
[79] |
Qu S, Yu K, Hu Y C, Zhou C C, Xu M. (2023). Scaling of energy, water, and waste flows in China’s prefecture- level and provincial cities. Environmental Science & Technology, 57(2): 1186–1197
CrossRef
Google scholar
|
[80] |
Ramaswami A, Jiang D Q, Tong K K, Zhao J. (2018). Impact of the economic structure of cities on urban scaling factors implications for urban material and energy flows in China. Journal of Industrial Ecology, 22(2): 392–405
CrossRef
Google scholar
|
[81] |
Rietkerk M, Bastiaansen R, Banerjee S, van de Koppel J, Baudena M, Doelman A. (2021). Evasion of tipping in complex systems through spatial pattern formation. Science, 374(6564): eabj0359
CrossRef
Google scholar
|
[82] |
Rodríguez J P, Beard T D Jr, Bennett E M, Cumming G S, Cork S J, Agard J, Dobson A P, Peterson G D. (2006). Trade-offs across space, time, and ecosystem services. Ecology and Society, 11(1): 28
CrossRef
Google scholar
|
[83] |
Roy S, Byrne J, Pickering C. (2012). A systematic quantitative review of urban tree benefits, costs, and assessment methods across cities in different climatic zones. Urban Forestry & Urban Greening, 11(4): 351–363
CrossRef
Google scholar
|
[84] |
Schneider E D, Kay J J. (1994). Complexity and thermodynamics: towards a new ecology. Futures, 26(6): 626–647
CrossRef
Google scholar
|
[85] |
Schneider F D, Kéfi S. (2016). Spatially heterogeneous pressure raises risk of catastrophic shifts. Theoretical Ecology, 9(2): 207–217
CrossRef
Google scholar
|
[86] |
Shah A M, Liu G, Chen Y, Yang Q, Yan N, Agostinho F, Almeida C M V B, Giannetti B F. (2023). Urban constructed wetlands: assessing ecosystem services and disservices for safe, resilient, and sustainable cities. Frontiers of Engineering Management, 10(4): 582–596
CrossRef
Google scholar
|
[87] |
Shao Z, Li Y, Gong H, Chai H. (2024). From risk control to resilience: developments and trends of urban roads designed as surface flood passages to cope with extreme storms. Frontiers of Environmental Science & Engineering, 18(2): 22
CrossRef
Google scholar
|
[88] |
Sharifi A, Yamagata Y. (2016). Principles and criteria for assessing urban energy resilience: a literature review. Renewable & Sustainable Energy Reviews, 60: 1654–1677
CrossRef
Google scholar
|
[89] |
Shutters S T, Muneepeerakul R, Lobo J. (2015). Quantifying urban economic resilience through labour force interdependence. Palgrave Communications, 1: 15010
CrossRef
Google scholar
|
[90] |
Singer H W. (1936). The “Courbe des Populations”: a parallel to Pareto’s law. Economic Journal, 46(182): 254–263
CrossRef
Google scholar
|
[91] |
Soares A L, Rego F C, McPherson E G, Simpson J R, Peper P J, Xiao Q. (2011). Benefits and costs of street trees in Lisbon, Portugal. Urban Forestry & Urban Greening, 10(2): 69–78
CrossRef
Google scholar
|
[92] |
Song J, Lu Y, Fischer T, Hu K. (2024). Effects of the urban landscape on heatwave-mortality associations in Hong Kong: comparison of different heatwave definitions. Frontiers of Environmental Science & Engineering, 18(1): 11
CrossRef
Google scholar
|
[93] |
Spyra M, La Rosa D, Zasada I, Sylla M, Shkaruba A. (2020). Governance of ecosystem services trade-offs in Peri-urban landscapes. Land Use Policy, 95: 104617
CrossRef
Google scholar
|
[94] |
Sugar L, Kennedy C. (2021). Urban scaling and the benefits of living in cities. Sustainable Cities and Society, 66: 102617
CrossRef
Google scholar
|
[95] |
Sun X, Ma Q, Fang G. (2023). Spatial scaling of land use/land cover and ecosystem services across urban hierarchical levels: patterns and relationships. Landscape Ecology, 38(3): 753–777
CrossRef
Google scholar
|
[96] |
Szulkin M, Garroway C J, Corsini M, Kotarba A Z, Dominoni D. (2020). How to quantify urbanization when testing for urban evolution. Urban Evolutionary Biology, 13(1): 1861–1876
CrossRef
Google scholar
|
[97] |
Tzoulas K, Korpela K, Venn S, Yli-Pelkonen V, Kaźmierczak A, Niemela J, James P. (2007). Promoting ecosystem and human health in urban areas using Green Infrastructure: A literature review. Landscape and Urban Planning, 81(3): 167–178
CrossRef
Google scholar
|
[98] |
UlanowiczR E (2012). Growth and development: ecosystems phenomenology. Berlin: Springer Science & Business Media
|
[99] |
van den Elsen E, Stringer L C, de Ita C, Hessel R, Kéfi S, Schneider F D, Bautista S, Mayor A G, Baudena M, Rietkerk M.
CrossRef
Google scholar
|
[100] |
WackernagelMReesW (1996). Our ecological footprint. Gabriola Island. British Columbia: New Society Publishers
|
[101] |
Wan G, Zhu D, Wang C, Zhang X. (2020). The size distribution of cities in China: Evolution of urban system and deviations from Zipf’s law. Ecological Indicators, 111: 106003
CrossRef
Google scholar
|
[102] |
WangJ, Song P, BiZ, WeiL, JuZ (2016). An ecological niche evaluation model of social,economic,and natural complex ecosystems: a case study in Sichuan Province. Acta Ecologica Sinica, 36(20): 6628–6635 (in Chinese)
|
[103] |
Wang X C, Dong X B, Liu H M, Wei H J, Fan W G, Lu N C, Xu Z H, Ren J H, Xing K X. (2017). Linking land use change, ecosystem services and human well-being: a case study of the Manas River Basin of Xinjiang, China. Ecosystem Services, 27: 113–123
CrossRef
Google scholar
|
[104] |
WestG (2018). Scale: The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life in Organisms, Cities, Economies, and Companies. New York: Penguin Press
|
[105] |
West G B, Brown J H. (2005). The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization. Journal of Experimental Biology, 208(9): 1575–1592
CrossRef
Google scholar
|
[106] |
White C R, Alton L A, Bywater C L, Lombardi E J, Marshall D J. (2022). Metabolic scaling is the product of life-history optimization. Science, 377(6608): 834–839
CrossRef
Google scholar
|
[107] |
Wolch J R, Byrne J, Newell J P. (2014). Urban green space, public health, and environmental justice: the challenge of making cities ‘just green enough’. Landscape and Urban Planning, 125: 234–244
CrossRef
Google scholar
|
[108] |
Wu S, Chen B, Webster C, Xu B, Gong P. (2023). Improved human greenspace exposure equality during 21st century urbanization. Nature Communications, 14(1): 6460
CrossRef
Google scholar
|
[109] |
Xie G D, Zhang C X, Zhen L, Zhang L M. (2017). Dynamic changes in the value of China’s ecosystem services. Ecosystem Services, 26: 146–154
CrossRef
Google scholar
|
[110] |
Xu Z, Jiao L, Lan T, Zhou Z, Cui H, Li C, Xu G, Liu Y. (2021). Mapping hierarchical urban boundaries for global urban settlements. International Journal of Applied Earth Observation and Geoinformation, 103: 102480
CrossRef
Google scholar
|
[111] |
XuZ, ZhangJ, LiC, LiZ, GengY, Tan C (2018). Study on the spatial competitiveness of Beijing-Tianjin-Hebei urban agglomeration based on niche. Chinese Journal of Agricultural Resources and Regional Planning, 39(4): 167–175 (in Chinese)
|
[112] |
Yang Z, Zheng M, Yan Z, Liu H, Liu X, Jin J, Wu J, Ou C. (2024). Magnitude and direction of temperature variability affect hospitalization for myocardial infarction and stroke: population-based evidence from Guangzhou, China. Frontiers of Environmental Science & Engineering, 18(3): 27
CrossRef
Google scholar
|
[113] |
Yu G, Zhu X, Fu Y, He H, Wang Q, Wen X, Li X, Zhang L, Zhang L, Su W.
CrossRef
Google scholar
|
[114] |
Yuan J, Wu B, Liu X, Lu M. (2023). Boundary green infrastructure: a green infrastructure connecting natural and artificial spaces. Frontiers in Environmental Science, 11: 1155036
CrossRef
Google scholar
|
[115] |
Zhang P, Ghosh D, Park S. (2023). Spatial measures and methods in sustainable urban morphology: a systematic review. Landscape and Urban Planning, 237: 104776
CrossRef
Google scholar
|
[116] |
Zheng H, Cheng J, Ho H C, Zhu B, Ding Z, Du W, Wang X, Yu Y, Fei J, Xu Z.
CrossRef
Google scholar
|
[117] |
Zhou C, Gong M, Xu Z, Qu S. (2022). Urban scaling patterns for sustainable development goals related to water, energy, infrastructure, and society in China. Resources, Conservation and Recycling, 185: 106443
CrossRef
Google scholar
|
[118] |
Zhu A L, Weins N, Lu J, Harlan T, Qian J, Barbi Seleguim F. (2024). China’s nature-based solutions in the Global South: Evidence from Asia, Africa, and Latin America. Global Environmental Change, 86: 102842
CrossRef
Google scholar
|
[119] |
ZipfG K (1949). Human Behaviour and the Principle of Least-Effort. Cambridge: Addison-Wesley Press
|
[120] |
Zünd D, Bettencourt L M A. (2019). Growth and development in prefecture-level cities in China. PLoS One, 14(9): e0221017
CrossRef
Google scholar
|
/
〈 | 〉 |