Reprinted from Geophysical Research Letters, v. 26, p. 227-230.
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Streamflow trends in the United States

Harry F. Lins and James R. Slack

U.S. Geological Survey, 415 National Center, Reston, VA 20192, USA

Abstract. Secular trends in streamflow are evaluated for 395 climate-sensitive streamgaging stations in the conterminous United States using the non-parametric Mann-Kendall test. Trends are calculated for selected quantiles of discharge, from the 0th to the 100th percentile, to evaluate differences between low-, medium-, and high-flow regimes during the twentieth century. Two general patterns emerge; trends are most prevalent in the annual minimum (Q₀) to median (Q₅₀) flow categories and least prevalent in the annual maximum (Q₁₀₀) category; and, at all but the highest quantiles, streamflow has increased across broad sections of the United States. Decreases appear only in parts of the Pacific Northwest and the Southeast. Systematic patterns are less apparent in the Q₁₀₀ flow. Hydrologically, these results indicate that the conterminous U.S. is getting wetter, but less extreme.

1. Introduction

Floods and droughts cause more damage annually in the United States than any other natural disaster. There is an increasing trend in both flood damage and drought vulnerability (Federal Interagency Floodplain Management Task Force, 1992; U.S. Army Corps of Engineers, 1995; Wilhite, 1997). Most of the flood damage increase stems from continuing urban and suburban development on floodplains and the drought vulnerability increase is from development in regions of lower renewable water supplies. However, there is also a perception that extreme hydrologic events are increasing in frequency and/or magnitude.

Most documentation of trends in surface water hydrologic conditions has focused on monthly and annual mean discharge or the timing of monthly mean discharge (Chiew and McMahon, 1996; Lettenmaier et al., 1994; Lins and Michaels, 1994). Since the 1940's, the general pattern has been toward an increase in mean discharge in the autumn and winter months in most regions of the conterminous United States. Systematic analysis of trends across the spectrum of streamflows, including flood- and low-flows, has received little treatment. Significantly, however, the Mississippi floods of 1993 and the widespread flooding during 1997 in the West, Upper Midwest, and the Ohio Valley, as well as the widespread 1988 and 1995-96 drought, gave rise to speculation that floods and droughts are increasing; possibly in response to greenhouse warming. We consider the question of any changes in hydrologic regime by determining whether trends have occurred in streamflow over a range of discharge quantiles.

2. Data and Methods

A compilation of daily discharge records, relatively free of such anthropogenic influences as watercourse regulation, diversion, ground-water pumpage, or land use change, was developed by the U. S. Geological Survey (USGS) to study climatically-induced variations in U. S. surface-water conditions (Slack and Landwehr, 1992). Known as the Hydro-Climatic Data Network (HCDN), it includes data from more than 1500 streamgages. We use a subset of the HCDN consisting of daily mean discharge from 395 stations that provide broad spatial coverage of the hydrology of the United States. The 395 stations represented the maximum number furnishing continuous daily records over the 50-year period 1944-1993, with a decreasing number of stations providing data at longer time periods; 193 at 60 years (1934-93), 70 at 70 years (1924-93), and 34 at 80 years (1914-93). Although more than 395 stations had continuous data for periods less than 50 years, we wanted to maximize sample size and maintain site continuity over 30-, 40-, and 50-year periods, while not compromising spatial coverage.

Trends in the HCDN records are evaluated using the nonparametric Mann-Kendall test. The test examines whether a random response variable monotonically increases or decreases with time. It is a rank-based procedure, resistant to the influence of extremes, and good for use with skewed variables. No assumption of normality is required, although there must be no serial correlation for the resulting p-values to be correct (Helsel and Hirsch, 1992). These characteristics make it particularly appropriate for use with streamflow data sampled up to one year apart.

Our approach to the assessment of trends in streamflow involves two distinct elements. First, we test for trends in 7 quantiles of the streamflow distribution, by selected decimals, from the annual minimum (daily mean) (Q₀) to the annual maximum (daily mean) (Q₁₀₀). This includes the 90th (Q₉₀), 70th (Q₇₀), 50th (Q₅₀), 30th (Q₃₀), and 10th (Q₁₀) percentiles. In so doing, we derive a more complete picture of how the streamflow regime is changing over the entire discharge spectrum. Second, we evaluate interdecadal streamflow variability by calculating the quantile trends for 30-, 40-, 50-, 60-, 70-, and 80-year periods, all ending in 1993. This provides some insights as to how the characteristics of hydrologic trends during the century are affected by the period-of-record.

3. Results

Trend test results, by quantile and period-of-record, are summarized in Table 1. Moving from low- to high-flows, we first consider the annual minimum (daily mean) discharge (Q₀), which we use as a surrogate measure of hydrologic drought. The Q₀ flow represents the lowest recorded mean daily discharge at a gage each year and generally reflects baseflow conditions. It exhibits a strong pattern of trends through the twentieth century. The percentage of the streamgaging stations recording statistically significant trends ranges from a low of 28 percent at 30 years of record to a high of 49 percent at 70 years of record. Significantly, there are many more uptrends than downtrends nationally; that is, the broad pattern is toward increasing annual minimum streamflow. The uptrends exceed the downtrends by 4 to 1 when averaged over all time periods.

Progressing through the lower to middle range of streamflows (Q₁₀ - Q₅₀), the pattern that emerges is quite similar to that for the annual minimum discharge; that is, numerous statistically significant trends (25-46 percent of the stations), with many more increases than decreases. However, the situation changes noticeably in the upper half of the discharge distribution. At the Q₇₀ flow, the number of stations with significant trends drops to 23 percent, averaged over the six time periods. At Q₉₀ the average percentage drops to 14 and finally, at the annual maximum flow, only 11 percent of the stations have significant trends. Of perhaps more note is the change in the mix of up- and downtrends. In the low to middle flows there is a clear predominance of uptrends. At the high flows, uptrends and downtrends are roughly equal.

This variation in trends across quantiles is illustrated in Figure 1. The graph covers the period 1944-1993, but the same general pattern is evident in each of the six time periods. There are two important characteristics in the figure. First, the number of increasing streamflow trends is high and approximately equal across the lower half of the flow distribution, but falls sharply across the upper half. Second, downtrends decrease in number from the Q₀ to Q₅₀ flow, but increase from the Q₅₀ to Q₁₀₀ flow. This pattern indicates that baseflows are increasing (which suggests that drought is decreasing), median or average streamflow is increasing, but annual maximum flows (including floods) are neither increasing nor decreasing. Hydrologically, the nation appears to be getting wetter, but less extreme.

Figure 1. Number of streamgages, out of a total of 395, with statistically significant (p<0.05) trends for the 50-year period 1944-1993.

Another aspect of the material contained in Table 1 relates to interdecadal variations in the appearance of trends. Averaging over all quantiles, the highest percentage of streamgaging stations having trends is seen during the 40-year period 1954-93 (36%). High percentages are also evident at the 60-year (1934-93; 34%) and 70-year (1924-93; 34%) periods. However, an average of only 25 percent of the gages have significant trends at both the 50- and 80-year periods, and the lowest percentage of all (20%) characterizes the most recent 30-year period (1964-93). Not surprisingly, trend analysis results are sensitive to the variable characteristics of climatic anomalies occurring in the early and late years of the temporal window being used. For example, between 1944 and 1993 14 stations had uptrends in the annual maximum discharge while 21 stations had downtrends. Between 1954 and 1993, this pattern reversed such that 31 stations were up and 22 were down. Then, between 1964 and 1993, the pattern reversed again with 12 stations recording increases and 25 decreases. There is considerable consistency in the pattern of trends across quantiles and time periods despite the differences in the number of stations exhibiting trends.

Table 1. Mann-Kendall trend test results for selected quantiles of streamflow between the annual minimun and maximum.

	Years of Record
	30	40	50	60	70	80
Beginning year Ending year Stations tested	1964 1993 395	1954 1993 395	1944 1993 395	1934 1993 193	1924 1993 70	1914 1993 34
Annual minimum (daily mean) discharge
No. of significant trends (p<0.05) Percent with significant trends No. with increasing trend No. with decreasing trend	112 28 74 38	177 45 145 32	163 41 127 36	85 44 76 9	34 49 32 2	13 38 10 3
Annual 10^th percentile of daily discharge
No. of significant trends (p<0.05) Percent with significant trends No. with increasing trend No. with decreasing trend	101 26 63 38	155 39 132 23	143 36 117 26	89 46 80 9	32 46 30 2	12 35 8 4
Annual 30^th percentile of daily discharge
No. of significant trends (p<0.05) Percent with significant trends No. with increasing trend No. with decreasing trend	109 28 76 33	160 41 148 12	135 34 125 10	81 42 79 2	28 40 27 1	9 26 8 1
Annual 50^th percentile of daily discharge
No. of significant trends (p<0.05) Percent with significant trends No. with increasing trend No. with decreasing trend	98 25 76 22	174 44 167 7	116 29 113 3	82 42 81 1	27 39 26 1	10 29 9 1
Annual 70^th percentile of daily discharge
No. of significant trends (p<0.05) Percent with significant trends No. with increasing trend No. with decreasing trend	59 15 55 4	130 33 124 6	64 16 61 3	58 30 58 0	19 27 19 0	6 18 6 0
Annual 90^th percentile of daily discharge
No. of significant trends (p<0.05) Percent with significant trends No. with increasing trend No. with decreasing trend	43 11 18 25	94 24 76 18	40 10 23 17	20 10 19 1	10 14 10 0	5 15 5 0
Annual maximum (daily mean) discharge
No. of significant trends (p<0.05) Percent with significant trends No. with increasing trend No. with decreasing trend	37 9 12 25	53 13 31 22	35 9 14 21	20 10 11 9	9 13 5 4	4 12 2 2

We map trend direction and persistence over the six time periods for the annual maximum, median, and minimum flows in Figure 2. There are relatively few trends in the annual maximum flow compared to the annual median and minimum. There are also regionally distinct patterns of streamflow increases and decreases that are consistent across quantiles. Finally, the annual minimum flow has more stations registering trends in three or more time periods. Details of the salient regional features follow.

Image a, b, and c from Figure 2 are thumbnail pictures, please click to enlarge.
a	b	c
Figure 2. Trends (p>0.05) in (a) annual maximum daily, (b) annual median daily, and (c) annual minimum daily discharge in relation to U.S. water resource regions. Upward-pointing triangles indicate increasing discharge, downward-pointing decreasing. Solid triangles () denote stations exhibiting a trend in 3 or more time periods shown in Table 1; gray-shaded triangles () denote 2 time periods; open triangles () denote a trend in 1 time period; and an open circle () denotes no trend in any time period.

A broad mix of up- and downtrends in the Q₁₀₀ flow are scattered across the eastern half of the United States, while most of the stations with trends in the western U.S. record decreases. Regionally coherent decreases were most notable in the Pacific Northwest and in the Southern Plains. Considerably more regional coherence is apparent in the trends at the median flow. This part of the discharge regime is characterized by a broad area of uptrends that stretches from the New England to the Lower Colorado water resources region, and that includes the Mid-Atlantic, Ohio, Tennessee, Upper and Lower Mississippi, Texas-Gulf, Rio Grande, and Great Basin water resources regions. Decreasing median flows are most prevalent in the Pacific Northwest and Northern California, and in parts of the Southeast.

Trends in annual minimum flows are nearly identical to those in the median with respect to direction. The differences are primarily in the number of periods when a station exhibits a trend. Many more stations, especially in the Far West, have trends in multiple time periods at the Q₀ level. In the aggregate, most of the nation's water resources regions are experiencing discharge increases at flows below the annual maximum (and actually below the upper quartile, Q₇₅). The only regions exhibiting systematic decreases are the Pacific Northwest, Northern California, and parts of the Southeast; and these decreases are evident at all flow quantiles.

4. Discussion

Although the specific causes of these variations are not simply and immediately explained, their broad spatial consistency is sufficient to suggest some systematic cause or causes. For example, the increases observed in the northeastern quarter of the nation could be associated with precipitation patterns linked with the recent and persistent high index phase of the North Atlantic Oscillation (Hurrell, 1995; Hurrell and van Loon, 1997). The decreases in the Pacific Northwest, especially given the opposing increases in the Southwest, may reflect decadal-scale variations in the tropical and North Pacific Ocean (Dettinger and Cayan, 1995; Graham, 1994; Latif and Barnett, 1994). Opposing climatic and hydrologic anomalies between the Pacific Northwest and the Southwest are well documented as occurring in conjunction with various North Pacific atmospheric circulation modes (Lins, 1997; Cayan and Peterson, 1989).

Climate model simulations associated with increasing atmospheric CO₂ have been interpreted (e.g. Houghton et al., 1996) as indicating an intensification of the hydrologic cycle. This is generally translated to mean more extreme hydrologic events such as floods and droughts. One recent analysis of observed data appears to lend some support to these simulations by indicating that, "at least within the United States--the proportion of total precipitation contributed by extreme, one-day events has increased significantly" during the twentieth century (Karl et al., 1995).

We suspect that our streamflow findings are consistent with the precipitation findings of Karl and his collaborators (1995, 1998). The reported increases in precipitation are modest, although concentrated in the higher quantiles. Moreover, the trends described for the extreme precipitation category (>50.4mm per day) are not necessarily sufficent to generate an increase in flooding. It would be useful to know if there are trends in 24-hour precipitation in the >100mm and larger categories. The term "extreme," in the context of these thresholds, may have more meaning with respect to changes in flood hydrology.

What, if anything, do our results imply for the hypothesis that increasing atmospheric CO₂ will lead to an enhanced hydrologic cycle and, therefore, more floods and droughts? This is a more problematic issue, and one on which current climate modeling studies may soon be able to shed some light.

Acknowledgements. We thank K. Wahl, K. Potter, and S. Burges for thoughtful reviews. Special thanks also to S. Hostetler for many critical comments and numerous insightful discussions.

References

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Dettinger, M. D., and D. R. Cayan, Large-scale atmospheric forcing of recent trends toward early snowmelt runoff in California, J. Clim., 8, 606-623, 1995.

Federal Interagency Floodplain Management Task Force, Floodplain Management in the United States: An Assessment Report, FIA-18, Federal Insurance Agency, Washington, D. C., 1992.

Graham, N. E., Decadal-scale climate variability in the tropical and North Pacific during the 1970s and 1980s: observations and model results, Climate Dynamics, 10, 135-162, 1994.

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Hurrell, J. W., and H. van Loon, Decadal variations in climate associated with the North Atlantic oscillation, Climatic Change, 36, 301-326, 1997.

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Received: November 6, 1998
Revised: December 2, 1998
Accepted: December 3, 1998

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