Discussion on several major issues in the studies of hydrological nonstationarity
2017
Due to the great influence of both global climate change and human
activities, climatic and hydrological processes in many basins and
regions worldwide show obviously nonstationary variability, which
has obvious impact on diverse practical water activities such as the
hydrological simulation and forecasting, hydrological and hydraulic
designs, hydrological risk evaluation and adaption, and water resources
planning and management, and also affect the socioeconomic developments
as well as people’s lives. Over the last decade, nonstationarity
in hydrological process has been becoming a hot and frontier topic
in the studies of hydrology and global climate change. However, those
basic and major issues on the scientific topic have not been systemically
studied, and some understandings about it are limited. In this article,
we mainly focused on several major issues about the studies of hydrological
nonstationarity. First, we discussed and clarified the difference
between the stability of hydrological system and the hydrological
nonstationarity. It is pointed out that the former is mainly to study
whether the physical hydrological system in a basin keeps its stability
under the impacts of both climate change and human activities, which
is usually quantified by the deterministic characteristics of hydrological
processes, and then simulated by proper physical hydrological models.
However, the hydrological nonstationarity is mainly to study whether
the statistical characteristics of stochastic hydrological process
is changed, including not only the nonstationarity in stochastic components,
but also the nonstationarity in deterministic components of hydrological
process. Then, we further discussed some key issues about the topic
of hydrological nonstationarity, mainly including the research objects,
expressing ways, determining criteria, and identification and description
methods. We finally pointed out that the studies of hydrological nonstationarity
should focus on the stochastic components of hydrological process
and the hydrological extremes (droughts, rainstorms, floods, waterlogs
and others), but not the deterministic characteristics of hydrological
process. All the first, second and third statistical moments (i.e.,
the mathematical mean, variance, and coefficient of skewness) of hydrological
process should at least be carefully evaluated to judge its stationary
characters. In practice, both the statistical methods (unit root test,
etc.) and stochastic methods can be used for the study of hydrological
nonstationarity, that is, we can first identify and remove those periodic
and trend components of hydrological time series using proper stochastic
methods, and then judge the nonstationary characteristics of stochastic
components in series using statistical test methods. Those methods
used for the identification of periodicities in hydrological time
series usually include the Fourier transform, variance spectral density
analysis, and the maximum entropy spectral analysis. Those methods
for the trend analysis of hydrological time series mainly include
the Mann-Kendall test, Spearman rank correlation test, linear regress
test, moving-average test, and the wavelet-based test. The results
can be a basis of stochastic simulation and hydrological forecasting.
However, during the analysis process the uncertainty in these results
should be carefully taken into consideration. As a result, we gave
several suggestions and opinions on the future researches of hydrological
nonstationarity. It is emphasized that more studies should be conducted
to improve the techniques and methods for hydrological modelling,
as a reliable basis of revealing the changes in physical hydrological
process; further, more studies should also be done to develop the
stochastic and statistical methods, mainly for more accurately describing
and evaluating the nonstationary characters of hydrological process
and their changes. The practice can also be helpful for studying the
difficult hydrological and water resources problems under the changing
environmental systems.
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