Abstract
The use of Markov chains to simulate non-perennial streamflow data is considered. A non-perennial stream be thought as having three states, namely zero flow, increasing flow and decreasing flow, for which a three-state Markov chain can be constructed. Alternatively, two two-state Markov chains can be used, the first of which represents the existence and non-existence of flow, whereas the second deals with the increment and decrement in the flow for periods with flow. Probabilistic relationships between the two alternatives are derived. Their performances in simulating the state of the stream are compared on the basis of data from two different geographical regions in Turkey. It is concluded that both alternatives are capable of simulating the state of the stream.
| Original language | English |
|---|---|
| Pages (from-to) | 1083-1094 |
| Number of pages | 12 |
| Journal | Journal of Applied Statistics |
| Volume | 31 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Nov 2004 |
Funding
This study was partially supported by the Research Fund of Istanbul Technical University and is based on the author’s PhD thesis supervised by Professor M. Bayazit, whom the author sincerely thanks. The author wishes to extend his thanks to the anonymous referees whose review improved this paper substantially, and to his dear friend Dr Pieter H. A. J. M. van Gelder of TU Delft, the Netherlands who helped in providing essential references without which the paper would be incomplete.
| Funders | Funder number |
|---|---|
| Istanbul Teknik Üniversitesi |
Keywords
- Daily streamflow
- Data generation
- Markov chain
- Simulation
