Stochastic evolution of hydraulic geometry relations in the lower Yellow River of China under environmental uncertainties

Aït-Sahalia, 2009, Vol. 1 Beck, 1987, Water quality modeling: A review of the analysis of uncertainty, Water Resources Research, 23, 1393, 10.1029/WR023i008p01393 Black, 1973, The pricing of options and corporate liabilities, Journal of Political Economy, 81, 637, 10.1086/260062 Boano, 2006, Stochastic modelling of DO and BOD components in a stream with random inputs, Advances in Water Resources, 29, 1341, 10.1016/j.advwatres.2005.10.007 Bruti-Liberati, 2006 Camporeale, 2006, Riparian vegetation distribution induced by river flow variability: A stochastic approach, Water Resources Research, 43, 151 Chalmers, 2008, Convergence and stability analysis for implicit simulations of stochastic differential equations with random jump magnitudes, Discrete and Continuous Dynamical Systems - Series B, 9, 47, 10.3934/dcdsb.2008.9.47 Cox, 1985, A theory of the term structure of interest rates, Econometrica, 53, 385, 10.2307/1911242 Decreusefond, 1999, Stochastic analysis of the fractional Brownian motion, Potential Analysis, 10, 177, 10.1023/A:1008634027843 Deng, 2015, Study on particularity of hump reach evolution in lower Yellow River, Yellow River, 37, 28 Finney, 1982, Random differential equations in river water quality modeling, Water Resources Research, 18, 122, 10.1029/WR018i001p00122 Guo, 2012, Formation and development of hump reach in lower Yellow River, Journal of Sedimentary Research, 38 Hanks, 2017, Reflected stochastic differential equation models for constrained animal movement, Journal of Agricultural, Biological, and Environmental Statistics, 22, 353, 10.1007/s13253-017-0291-8 Higham, 2005 Huang, 2010, Bifurcations in a stochastic business cycle model, International Journal of Bifurcation and Chaos, 20, 4111, 10.1142/S0218127410028227 Huggett, 2007, A history of the systems approach in geomorphology, Géomorphologie: Relief, Processus, Environnement, 2, 145, 10.4000/geomorphologie.1031 Kroese, 2015, Spatial process simulation, 369 Leland, 1994, On the self-similar nature of Ethernet traffic, IEEE/ACM Transactions on Networking, 2, 1, 10.1109/90.282603 Leopold, 1953 Leopold, 1995 Li, 2017, Effect of training strategies on fluvial process in lower Yellow main stream under hydrological changes, Journal of Hydroelectric Engineering, 36, 60 Liu, 2009, Nonlinear forecasting using nonparametric transfer function models, WSEAS Transactions on Business and Economics, 6, 208 Liu, 2009, Analysis of the causes for smaller bankfull discharge values in the Gaocun-Sunkou Reach in the lower Yellow River, Yellow River, 31, 21 Manfreda, 2008, A stochastic approach for the description of the water balance dynamics in a river basin, Hydrology and Earth System Sciences, 12, 1189, 10.5194/hess-12-1189-2008 Muneepeerakul, 2007, Effects of river flow scaling properties on riparian width and vegetation biomass, Water Resources Research, 43, W12406, 10.1029/2007WR006100 Navratil, 2010, Non-linearity of reach hydraulic geometry relations, Journal of Hydrology, 388, 280, 10.1016/j.jhydrol.2010.05.007 Olason, 1986, Multivariate transfer function-noise model of river flow for hydropower operation, Nordic Hydrology, 17, 185, 10.2166/nh.1986.0012 Qi, 2014, New situations, new problems and new harnessing strategies for the lower Yellow River, Chinese Engineering Science, 16, 64 Ramezani, 2007, Maximum likelihood estimation of the double exponential jump-diffusion process, Annals of Finance, 3, 487, 10.1007/s10436-006-0062-y Rong, 2006 Rose, 2008, Downstream hydraulic geometry of rivers in Victoria, Australia, Geomorphology, 99, 302, 10.1016/j.geomorph.2007.11.008 Sørensen, 1991, Likelihood methods for diffusions with jumps, 67 Stanton, 1997, A nonparametric model of term structure dynamics and the market price of interest rate risk, Journal of Finance, 52, 1973, 10.1111/j.1540-6261.1997.tb02748.x Steele, 2001 Stewardson, 2005, Hydraulic geometry of stream reaches, Journal of Hydrology, 306, 97, 10.1016/j.jhydrol.2004.09.004 Tealdi, 2011, Modeling the impact of river damming on riparian vegetation, Journal of Hydrology, 396, 302, 10.1016/j.jhydrol.2010.11.016 Tsai, 2014, Stochastic particle based models for suspended particle movement in surface flows, International Journal of Sediment Research, 29, 195, 10.1016/S1001-6279(14)60036-6 Vasicek, 1977, An equilibrium characterization of the term structure, Journal of Financial and Quantitative Analysis, 5, 177 Wang, 2005 Wasimi, 2005, Periodic transfer function-noise model for forecasting, Journal of Hydrologic Engineering, 10, 353, 10.1061/(ASCE)1084-0699(2005)10:5(353) Wu, 2017, Modeling of uncertainty for flood wave propagation induced by variations in initial and boundary conditions using expectation operator on explicit numerical solutions, International Journal for Numerical Methods in Engineering, 113, 1447, 10.1002/nme.5702 Wu, 2008, Response of bankfull discharge to discharge and sediment load in the lower Yellow River, Geomorphology, 100, 366, 10.1016/j.geomorph.2008.01.007 Yang, 1981, Hydraulic geometry and minimum rate of energy dissipation, Water Resources Research, 17, 1014, 10.1029/WR017i004p01014 Yin, 1996, New methods for simulation of fractional Brownian motion, Journal of Computational Physics, 127, 66, 10.1006/jcph.1996.0158 Yoshioka, 2017, Robust stochastic control modeling of dam discharge to suppress overgrowth of downstream harmful algae, Applied Stochastic Models in Business and Industry, 34, 338, 10.1002/asmb.2301