VARIABILITY IN EROSION RATES DUE TO DISCRETE SUPPLY PROCESSES IN THE EASTERN CENTRAL RANGE, TAIWAN
We calculate erosion rates for the 12 rivers of the eastern Central Range (ECR) in Taiwan directly from suspended sediment data using mean sediment loads, traditional rating curves and a new corrected rating curve. Our resulting erosion rates vary between .7 to 21.3 mm/yr. In order to address the uncertainty in these erosion rates due to the short records, infrequency of observations and, in particular, the discrete nature of the sediment supply, we have developed a model of sediment supply and transport in a landslide dominated basin. The model consists of stochastic water discharge generation, stochastic landslide generation and a deterministic sediment transport algorithm. We calibrate the model to the Chih-Pen river of the ECR using the observed water and sediment time series as well as known landslide magnitude-frequency statistics within the ECR. Through Monte Carlo simulations, we are able to estimate the expected variation in erosion rates for a range of parameters. Our simulations show that a 27 year record for the Chih-Pen, with an observed erosion rate of 9.5 mm/yr, has an expected standard deviation of 6 mm/yr. Similar variances are expected for other rivers within the ECR.