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Ecological Modelling

2007 - 2026

Current editor(s): Brian D. Fath

From Elsevier
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2026, volume 512, articles C

Modeling the loss of climate protection from spruce beetles (Dendroctonus rufipennis) under changing conditions in Alaska’s forests Downloads
Nancy Fresco, Kyle Redilla, Jessie Moan, Sydney Mullen, Charles Parr and Craig Stephenson
Gorge floodplain landscape dynamics and sustainability: Insights from human-nature interactions Downloads
Jin Zhang, Wen Wen, Jieao Shen, Chang Li and Haimeng Liu
Ecological and economic evaluation of reservoir-based water transfer using system dynamics Downloads
Zeyu Zhang, Jia Li, Dongya Zhang, Hongsen You, Yi Peng, Yong Li, Peiying Tan, Lingling Ni and Yun Lu
Enhancing urban CFD simulations with porous media parameters for representative street trees Downloads
Junghyeon Ahn and Junsuk Kang
Construction and optimization of ecological network in karst regions under rocky desertification disturbance: A case study of Qujing City, China Downloads
Heng Gai, Bing Wu, Yuanxiang Wu and Zhihui Ren
Modeling canopy-forming vs. turfing algae competition via a space-implicit model with border dynamics Downloads
D. Collini, L. Barletti, F. Bulleri, S. Dalmazzone, V. Frontuto, L. Tamburello, F. Sarnari and M. Materassi
Corrigendum to ‘A decade of mizer: A systematic review of advancements and applications of size spectrum modeling in aquatic ecosystems’ [Ecological Modelling, Volume 508, September 2025, 111241] Downloads
M. Grazia Pennino, D.J. Nachón, D. Bamio, M. Cousido-Rocha, G. Delius, F. Izquierdo, A. Paz, E. Abad, M.A. Torres, I. González Herraiz, M.P. Sampedro, I.M. Rabanal, F. Velasco, P. Verisimo, Y. Vila and S. Cerviño
A decade of mizer: a systematic review of advancements and applications of size spectrum modeling in aquatic ecosystems Downloads
M. Grazia Pennino, D.J. Nachón, D. Bamio, M. Cousido-Rocha, G. Delius, F. Izquierdo, A. Paz, E. Abad, M.A. Torres, I. González Herraiz, M.P. Sampedro, I.M. Rabanal, F. Velasco, P. Verisimo, Y. Vila and S. Cerviño
Dynamic temperature sensitivity improves simulated ecosystem respiration in a coupled land-atmosphere model Downloads
Tuanhui Wang, Yue Zhang, Ping Jiang and Longhui Li
Stranding data can significantly bias marine mammal habitat suitability models Downloads
A.C.o Meirelles, I.C. Normande, M.D.O. Alves, K.F. Choi, V.L. Carvalho, J.C.G. Borges and A.W. Trites
On scale and complexity in model design for marine reserve planning with Great Barrier Reef Marine Park and Philippines case studies Downloads
Stuart Kininmonth and Carl Steinitz
A comprehensive review of approaches, challenges, and future directions for advancing nitrous oxide emission modeling Downloads
Cong Wang and Thorsten Ruf
Contrasting vegetation responses to drought indicated by model simulations Downloads
Junping Wang, Baolin Xue, Guoqiang Wang and Qingqing Fang
Hydrological responses to changes in the proportion of green-grey-blue infrastructures following urban expansion Downloads
Pengfei Wang, Junguo Liu, Shuyu Zhang, Shuman Liu and Soon Keat Tan
Evaluating biological realism in ecological modelling: application of a novel framework to compare mechanistic and process-based earthworm and wild pollinator population models Downloads
Harriet M. Gold, Jacqueline A. Hannam, Simon G. Potts, Claire Brittain, Nika Galic and Alice S.A. Johnston
A mechanistic mangrove ecosystem model for evaluating carbon absorption, fixation, and storage functions across daily to seasonal timescales Downloads
Wataru Shimura, Akihito Ryogoku, Hisashi Shibuki and Akio Sohma
Modelling woody carbon dynamics in tropical dry forests: A case study of the Dry Chaco Region Downloads
Iván Daniel Filip, Pablo Luis Peri, Pedro Fernández, Dante Loto, Sebastián Miguel Kees, Natalia Banegas, José Nasca, Mónica Sacido, Claudia Faverin and Ronaldo Vibart
A GIS-based methodology to identify priority areas for land use regulations - Case study of Kozhikode Downloads
Nishan Nazer, Bimal P and Chithra K
Using a coupled model and GIS tool in assessing the effect on primary production after nutrient reduction to a Danish estuary Downloads
Mikkel Keller Lees, Kadri Kuusemäe, Anders C. Erichsen, Mogens R. Flindt and Paula Canal-Vergés
Assessing cattle grazing impact on biomass and soil carbon pools in an Australian semi-arid woodland Downloads
Hari Krishna Laudari, Liubov Volkova, Stephen H Roxburgh and Christopher J Weston
Exploring future ecosystem service trade-off and key driving factors in the ecologically fragile region, northern China Downloads
Xueping Chen, Xueyong Zhao, Yanming Zhao, Xiaowen Zhu, Liya Bai and Hongmei Yu
Hybrid biogeography-based optimization and Mamdani fuzzy modelling for physical habitat suitability modelling under limited data conditions Downloads
Mahdi Sedighkia and Bithin Datta
Advancing crop growth modeling: Challenges, model integration, and pathways for improved decision support Downloads
Adam Shaaban Mgana, Aidi Huo, Yilu Zhao, Padam Raj Joshi and Abderrahim Firaouni
Pathways to sustainability or collapse in inland small-scale aquaculture systems: insights from a social–ecological systems model Downloads
Sonja Radosavljevic, Francesca Acotto, Quanli Wang, Jie Su and Alexandros Gasparatos
The effects of ecological interactions and distinct conjugation rates on the invasion of a conjugative plasmid in bacterial communities Downloads
Jesse B. Alderliesten, Mark P. Zwart, J.Arjan G.M. de Visser, Arjan Stegeman and Egil A.J. Fischer
Parasitoid-led control in seasonal multitrophic systems: Impulsive strategies under hyperparasitoid disruption Downloads
Mona Zevika, S. Khoirul Himmi, Anita Triska and Juni Wijayanti Puspita
Persistence of small populations under seasonal resource fluctuations Downloads
Viviane M. Oliveira, Fernando Fagundes Ferreira, Ediline L.F. Nguessap and Paulo R.A. Campos
A machine learning-derived metamodel of BEEHAVE predicts how honey yield depends on weather and region across Germany Downloads
Gokul Govind, Martin Lange, Volker Grimm, Karin Frank and Jürgen Groeneveld

2026, volume 511, articles C

A decision support system linking forest succession, habitat suitability and population dynamics of woodland caribou in the boreal forest of northern Ontario, Canada Downloads
Guy R. Larocque, Arthur R. Rodgers, F.Wayne Bell, Rebecca Viejou and Thomas Schiks
Analysis of cyclic population dynamics of snow crab in the southern Gulf of St. Lawrence using a stage-structured discrete-time population model Downloads
S. Léger, J. Mazerolle, B. Sainte-Marie and T. Surette
Using spatially explicit individual-based modelling to evaluate the ecological feasibility of big cat reintroduction: the example of the Arabian leopard Downloads
Luciano Atzeni, Samuel A. Cushman, Amiyaal Ilany, Eli Geffen and David W. Macdonald
Spatial and physiological detail in crown representation matters when simulating tree growth Downloads
Jorad de Vries, Eva Meijers, Marleen A.E Vos and Frank J. Sterck
A game-theoretic approach to community-based wildlife management in abandoned rural areas Downloads
José Luis Charro, Humza Khan, Ramón Perea and Fernando Charro
Changes in seasonality and dynamics of the rodent-mustelid system Downloads
Julia Mikhailova, Clemens Breuß, Nikolas O. Aksamit and Nigel Yoccoz
Modeling desert locust population dynamics: A climate driven approach using machine learning Downloads
Dejen K. Mamo, Mathew N. Kinyanjui and Nourridine Siewe
Towards modeling soil erosion in a perennial ground cover (PGC) system Downloads
Oluwatuyi S. Olowoyeye and Amy L. Kaleita
Does meter-scale snow data matter for modeling alpine plant distribution? A comparison of four data sources at two resolutions Downloads
Andreas Kollert, Kryštof Chytrý, Norbert Helm, Karl Hülber, Dietmar Moser, Johannes Wessely, Stef Lhermitte, Simon Gascoin, Andreas Mayr, Patrick Saccone, Johannes Hausharter, Michael Warscher, Ulrich Strasser, Stefan Dullinger and Martin Rutzinger
Unifying occupancy-detection and local frequency scaling (Frescalo) models Downloads
Oliver L. Pescott
Application of explainable machine learning in the study of urban ecological economic resilience Downloads
Xiaofeng Ran, Bowen Zhang, Rui Ding, Shuyue Jiang, Jiarui Yuan, Yaoyao Zheng and Changpeng Yang
Howard T. Odum’s contribution to Marxian ecological thought Downloads
Raffaele Guarino and Enrique Muñoz-Ulecia
Diversity and uniformity: An entropy-based diagnosis of sectoral roles in China’s embodied carbon flow network Downloads
Zhongjie Zhang and Lei Shi
Partial consistency of net primary productivity and water-carbon use efficiency in response to climate change among three plantations Downloads
Chongfan Guan, ShouJia Sun, Jinsong Zhang, Xiaochuang Hu, Zijing Li, Jinfeng Cai and Ping Meng
Study on the relationship between intensive land use and ecosystem service value in Gansu Province Downloads
Jiaojiao Lei, Xuelu Liu, Lina Wang, Xiaodan Li, Jin Ma, Lide Zhang and Haiyu Yang
Research on the sustainable development of agricultural ecosystems based on the population and ecological interaction network model Downloads
Zhenfen Dong, Tengteng Xu, Yuanyu Yang, Jue Wang, Tongtong Jiang and Yuheng Men
Household scale Wolbachia release strategies for effective dengue control Downloads
Abby Barlow and Ben Adams
Evaluating ecological connectivity of key benthic habitats in a dynamic, complex archipelago Downloads
Elina Miettunen, Louise Forsblom and Elina A. Virtanen
Temperature- and host-driven model of Phlebotomus papatasi outbreak potential under climate change in Sudan Downloads
Komi Mensah Agboka, Souleymane Diallo, Iman Brema Hassaballa, Quinto Juma Meltus, Khalid Ahmed, Chrysantus M. Tanga, Tobias Landmann and Elfatih M. Abdel-Rahman
Modelling the winter Sargassum blooms in the Yellow Sea: considering wind, current and growth Downloads
Ke Sun, Shuxiang Ruan, Xiaowen Zhang, Dong Xu, Xiao Fan, Yitao Wang, Wei Wang, Pengyan Zhang, Lepu Wang and Naihao Ye

2025, volume 510, articles C

Evaluating responses to epidemics of Infectious spleen and kidney necrosis virus in farmed tilapia (Oreochromis niloticus) Downloads
Pedro H. de Oliveira Viadanna and Jesse Brunner
Integrating marine protected areas and spatial fisheries restrictions in ecosystem models of the Aegean Sea Downloads
Ioannis Keramidas, Donna Dimarchopoulou, Nikolaos Kokkos, Tushith Islam, Ghassen Halouani, Georgios Sylaios and Athanassios C. Tsikliras
Using DNDC models with two assimilation algorithms to simulate N2O emissions from a farmland after biochar added Downloads
Can Chen, Kexin Wang and Hongxia Zhu
A long-term scenario analysis of snow damage risk: effects of reduced stand density management Downloads
Victor F. Strîmbu, Morgane Merlin, Svein Solberg and Tron Eid
Snow leopard connectivity through trans-boundary areas surrounding the Dzungarian Basin in Kazakhstan Downloads
Alexey Grachev, Yuriy Grachev, Maxim Bespalov, Saltore Saparbayev, Yerlik Baydavletov, Dina Konysbayeva, Philip Riordan and Luciano Atzeni
Empirical and mechanistic models predict pinyon ips (Ips confusus) phenology Downloads
E.M. Hansen, J.A. Powell, A. Graves, S. Souder, J.C. Vandygriff, M. Gaylord, J. McMillin and B.J. Bentz
Modeling carbonyl sulfide and carbon dioxide fluxes in a northern boreal coniferous forest using memory-based deep learning Downloads
Shuai Liu, Wei He, Peipei Xu, Mengyao Zhao, Chengcheng Huang and Ngoc Tu Nguyen
Optimal control strategies to curtail cacao swollen-shoot virus infection and maximize net economic benefit Downloads
Maria C.A. Leite, Folashade B. Agusto, Benito Chen-Charpentier, Frank Owusu-Ansah and Owusu Domfeh
Integrating nitrogen and carbon cycling into LANDIS-II/PnET-Succession to improve forest landscape modeling: methods and sensitivity analyses Downloads
Zaixing Zhou, Eric J. Gustafson, Scott V. Ollinger, Andrew P. Ouimette, Brian R. Miranda, Matthew J. Duveneck, Jane R. Foster, Brian R. Sturtevant, Dustin R. Bronson and Danelle Laflower
Modeling fish swimming trajectories in a sudden expansion flow based on eulerian lagrangian agent method (ELAM): A case study of red crucian carp Downloads
Dongjin Gao, Xin Zhu, Minghai Huang, Siying Wang and Hui Guo
From theory to application: measuring development disparities in Mozambique through an Odum-inspired emergy framework Downloads
Estêvão Salvador Langa, Biagio F. Giannetti, Fábio Sevegnani, Feni Agostinho and Cecília M.V.B. Almeida
Modelling long-term soil organic carbon dynamics of the typical salt marsh wetlands with the DNDC model: a case study from Yancheng wetland, China Downloads
Fang Tang, Xiaobo Bian, Jingjing Li, Shengzhi Liu, Huan Zhang and Min Xu
A state-space model to quantify density dependence, demographic heterogeneity, and spatial synchrony in Grande Ronde Basin Chinook salmon populations Downloads
Benjamin A. Staton, Polly P. Gibson, Martin Liermann, Casey Justice, Matthew J. Kaylor, Rishi Sharma and Seth M. White
Pushing and pulling an algal bloom: Physical controls of diel variability in nearshore phytoplankton biomass Downloads
Medea Zanoli, Gotzon Basterretxea and Idan Tuval
Multi-scenario spatial optimization for future development in arid and semi-arid regions based on early warning of ecological risk Downloads
Yuxia Hu, Jirui Gong, Siqi Zhang, Weiyuan Zhang, Xuede Dong, Guisen Yang, Chenyi Yan, Ruijing Wang, Shangpeng Zhang and Tong Wang
Spatiotemporal patterns of gross primary productivity and the response to climate variability in the subtropical ecosystem of Eastern China Downloads
Ruixueer Wu, Zhiyong Cui, Binghao Jia, Hao Sun, Longhuan Wang, Yan Yu and Linzi Jiang
Scenario-driven modeling of mountain ecosystems: land use-carbon dynamics simulation based on the coupled SD-FLUS-InVEST framework Downloads
Qin Yaowei, Yan Yu, Dong Jiaqi, Zhao Zhenyu, Li Shuangjiang, Cao Jiansheng and Xiao Jieying
The relationship between pyrodiversity and biodiversity Downloads
Anthony E. Fernando and Michael A. McCarthy
Systems modeling for agroecology and land restoration Downloads
Luigi Conte, Federico Surra, Sebastiano Favarin, Vito Comar and Francesco Gonella
Modeling and analysis of maize agroecosystem dynamics with stresses Downloads
Zisen Peng, Zhengyang Xiao, Hao Xu, Yuhang Yan, Wenqian Zhu, Yanghui Wu, Lifei Zheng and Yongsheng Wei
Individual behaviour and temperature: simulation of an insect parasitoid population Downloads
Julie Augustin, Jacques Brodeur, Guy Boivin and Gaétan Bourgeois
Revisiting the dynamic simulation model of land-use changes in the Sudano-sahelian countries of Africa (SALU): An open-access application to Senegal Downloads
Anem Dupré, Paul-Alain Raynal, Isabelle Gounand and Caroline Pierre
Explorers vs. followers: A behavioural approach to spatial bias correction in species distribution modelling Downloads
Emy Guilbault, Panu Somervuo and Ian Renner
Environmental quality and its impact on selective fishing — A computational perspective Downloads
S.G.F. Martins, P.S. Pompeu, S.M. de Souza and S.A.B. Salgado
Environmental controls on the development of early life stages of European smelt in the Elbe estuary Downloads
David Drewes, Corinna Schrum, Johannes Pein, Déborah Benkort and Ute Daewel
Modeling the growth dynamics of Phragmites australis with flooding stress in the Middle Yangtze River Downloads
Junqiang Xia, Xi Shi, Meirong Zhou, Shengqi Liu and Shanshan Deng
Driving wildfire spread prediction by multi-source real-time observations Downloads
Chuanying Lin, Yihong Shi, Zheng Wang, Mengxia Zha, Xingdong Li and Jie Ji
Phosphorus dynamics in water and sediments in a large multi-use reservoir under extreme volume variation Downloads
Iran Eduardo Lima Neto
Decomposition of Whittaker’s gamma diversity: a novel way combining entropies and divergences Downloads
Ivano Vascotto and Davide Agnetta
A spatiotemporal SEIR model for predicting wheat stripe and leaf rusts epidemics Downloads
Mustapha El Jarroudi, Hasan Karjoun, Riane Hajjami, Louis Kouadio and Moussa El Jarroudi
A systematic review of urban ecological resilience: Emerging frontiers in process-oriented metabolic research Downloads
Yining Gao, Yan Zhang and Dongxiao Xu
Exploring household resilience indicators in the context of urban-rural linked water systems and post-disaster scenarios in Kathmandu valley Downloads
Namita Poudel and Rajib Shaw
A system dynamics model to assess the commercial viability of hydroponics product service system Downloads
Pallavi Paturu and Sudhir Varadarajan
Spatiotemporal dynamics and driving factors of net primary productivity in Asian terrestrial ecosystems Downloads
Meng Li, Liang Liang, Ziru Huang, Huaxiang Song, Shuguo Wang, Qianjie Wang and Yang Sun
Prescribed fire management impacts on forest succession trajectories in future southern Appalachian forests Downloads
Kate Jones, Jelena Vukomanovic, Zachary J. Robbins and Robert M. Scheller
Loop reinforcement as a mechanism of self-organization Downloads
Patrick Kangas
Through the macroscope: Applying HT Odum's models to novel ecosystems Downloads
Kelly Chinners Reiss
Towards a disease digital twin: Howard T. Odum's legacy for cancer biology and medicine Downloads
F. Surra, L. Conte, E. Cavarzerani, F. Rizzolio, A. Romano and F. Gonella
Modern colonialism in carbon markets? Insights from emergy accounting Downloads
Pedro Pierucci, Feni Agostinho, Federico Sulis, Cecília M.V.B. Almeida and Biagio F. Giannetti
A model for the dynamics of roosting in buildings by a Neotropical aerial-insectivorous bat Downloads
Lilia M. Ladino, Diana C. Vallejo and Francisco Sánchez
Integrating interspecific traits into biophysical models of seagrass dispersal Downloads
Douchan Hanuise, Thomas Dobbelaere, Severine Choukroun, Michael A. Rasheed, Jonathan Lambrechts, Paul H. York, Timothy M. Smith, Robert G. Coles, Emmanuel Hanert and Alana Grech
Multi-country pine species allocation under different climate scenarios Downloads
Ricardo Cavalheiro, Ranga Raju Vatsavai, Gary Hodge and Juan Jose Acosta
A mechanistic stage-structured model for estimating maturation, mortality, and recruitment parameters of three economically significant fish species in Canadian waters Downloads
Sherif Eneye Shuaib, Ghislain Rutayisire, Qing Han, Amy Veprauskas and Jude Dzevela Kong
Enhancing carbon storage through proactively managing fire-prone coniferous mountain forests Downloads
Weichao Guo, Mohammad Safeeq, Guotao Cui, Philip C. Myint, Panmei Jiang, Han Guo, Michael L. Goulden, Kristen D. Emmett, Stephen C. Hart and Roger C. Bales
A state-space model for estimating pinniped pup production from serial counts at breeding colonies Downloads
Eiren K. Jacobson, Mia R. Goldman, Len Thomas and Debbie J.F. Russell
Modeling seasonality of the Babesia canis infection using SEIRS model with periodic contact rate Downloads
Maja Krcmar, Milica Kovačević Filipović and Jelena Ajtić
Simulation of carbon fluxes from Tibetan Plateau grasslands by integrating data assimilation and parameter inversion within the Biome-BGC model Downloads
Jingzhou Zhang, Tao Zhou, Li Cao, Jingyu Zeng, Yajie Zhang, Qi Zhang, Xuemei Wu, Yancheng Qu, E. Tan and Xia Liu
Fishing effort displacement drives ecosystem impacts within and beyond marine protected areas Downloads
Logan Binch, Jan Jaap Poos and Karen van de Wolfshaar
Spatial variability in defoliation dynamics during spruce budworm outbreaks: A landscape perspective Downloads
Olaloudé Judicaël Franck Osse, Philippe Marchand and Miguel Montoro Girona
H.T. Odum’s contributions to springs ecology and treatment wetlands Downloads
Robert L. Knight
Are locally trained allometric functions of forest aboveground biomass universal across spatial scales and forest disturbance scenarios? Downloads
Benedikt Hartweg, Leonard Schulz, Andreas Huth, Konstantinos Papathanassiou and Lukas W. Lehnert
Reservoir methane emission response to varying organic carbon loads under multiple socioeconomic development scenarios Downloads
Guni Xiang, Zhihao Xu, Kaiheng Chen, Pan Yang, Jingchuan Xue, Sibo Zhang and Weilun Gao
Simulation and analysis of dengue transmission dynamics using advanced fuzzy arithmetic Downloads
Nurfatihah Abdullah, Wan Munirah Wan Mohamad, Tahir Ahmad and Sumarni Abu Bakar
Modeling assessment of carrying capacities of kelp and bivalve polyculture bay based on ecological model Downloads
Xuehai Liu, Xuelei Zhang, Shang Chen, Xinming Pu, Dapeng Qu and Zongjun Xu
Citizen scientists as butterfly predators: using foraging theory to understand individual recorder behaviour Downloads
Mingrui Li, Robin J. Boyd, Chloë Smith, Richard Fox, David Roy, Jonathan Bennie and Richard H. ffrench-Constant
Modelling 22-years of changes in productivity of the red sea urchin Loxechinus albus in southern Chile using the pre-image population analysis: insights for fishery and conservation management Downloads
Marco Ortiz and Josué Diaz
Exploring the evolution of socio-ecological systems through agent-based modeling in Resuloğlu Höyük (North-Central Anatolia) during the early bronze age (4300–4100 BP) Downloads
Kemal Koçaklı, Neriman Erdem and Bülent Arıkan
Implications of trends in net energy return of energy sources for climate and society: revisiting H.T. and Elisabeth Odum’s “a prosperous way down” Downloads
Elliott T. Campbell
Evolution of climate responses could alter forest dynamics under climate change even over short time-spans Downloads
Dean Wu, Nikole Vannest and Emily V. Moran
Comparison of marginal and mixed-effects complementary log-log regression models for predicting planted silver birch mortality Downloads
Jouni Siipilehto and Daesung Lee
Advancing the diagnosis of poverty traps: A regional application of Emergy Theory and the 5SEnSU model in Brazil Downloads
Biagio F. Giannetti, Glauco A.do Nascimento, Luiz Ghelmandi Netto, Rafael Araujo Nacimento, Fernando J.C. Demétrio, Cecília M.V.B. Almeida and Feni Agostinho
Integrating human and natural systems from a global systems perspective Downloads
John W. Day, William H. Conner, Katherine C. Ewel, Rachael Hunter, G. Paul Kemp, Robert Lane, Jay Martin, William Mitsch, Victor H. Rivera-Monroy and John Rybczyk
H.T. Odum and sustainable development Downloads
Erik Grönlund
Thermodynamic exploration of the adaptive cycle Downloads
Mostafa Sadeghi Ghuchani and Brian D. Fath
Bayesian model averaging of climate-dependent forest models using Expectation–Maximization Downloads
Nicolas Picard, Nikola Besic, Modeste Meliho, Julien Sainte-Marie, Frédéric Mortier and Myriam Legay
Evaluating ecological redline policies: Integrating multi-scenario land use simulation with ecological network analysis Downloads
Yan Zhang, Xinyi Yin, Yufei Li, Junqing Wei, Haofeng Wang, Peiheng Yu and Yiyun Chen
Adult survival of Dalbulus maidis during the maize off-season under diverse environmental conditions: A stochastic modeling approach Downloads
R.H. Barriga Rubio and M. Otero
Construction and evolution of river basin ecological network based on circuit theory and MSPA: A case study of Dawen River Basin Downloads
Fangyuan Zhang, Xinlong Liu and Yanyan Jia
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