QUANTIFYING PERIODIC, STOCHASTIC, AND CATASTROPHIC ENVIRONMENTAL VARIATION

Environmental variation plays a central role in regulating processes at all levels of ecological organization. Environmental data (e.g., temperature, rainfall, stream discharge, water chemistry) are typically easy to collect in large quantity, a requirement for many data-hungry time series tools. Unfortunately, these data are very rarely used effectively in ecology. Here we address this problem by outlining a suite of tools that can be used to quantify periodic, stochastic, and catastrophic variation in environmental conditions. We illustrate the application of these tools using long-term records of average daily discharge in 105 streams and rivers maintained by the U.S. Geological Survey on the NWIS (National Water Information System) web site. Specifically, we apply Fourier analysis to estimate the periodic (seasonal) and stochastic (interannual) components of variation in discharge. We then estimate the temporal autocorrelation structure of stochastic variation (i.e., noise color) in daily flows for ea...

[1]  H. G. Andrewartha,et al.  The distribution and abundance of animals. , 1954 .

[2]  Howard T. Odum,et al.  Trophic Structure and Productivity of Silver Springs, Florida , 1957 .

[3]  M. Wolman,et al.  Magnitude and Frequency of Forces in Geomorphic Processes , 1960, The Journal of Geology.

[4]  J. Connell The Influence of Interspecific Competition and Other Factors on the Distribution of the Barnacle Chthamalus Stellatus , 1961 .

[5]  M. Gordon Wolman,et al.  Fluvial Processes in Geomorphology , 1965 .

[6]  N. H. Anderson,et al.  Catastrophic Drift of Insects in a Woodland Stream , 1968 .

[7]  D. W. Seegrist,et al.  Effects of Floods on Trout in Sagehen Creek, California , 1972 .

[8]  B. Menge Foraging Strategy of a Starfish in Relation to Actual Prey Availability and Environmental Predictability , 1972 .

[9]  H. C. Riggs,et al.  Low-flow investigations , 1972 .

[10]  Gene E. Likens,et al.  Energy Flow in Bear Brook, New Hampshire: An Integrative Approach to Stream Ecosystem Metabolism , 1973 .

[11]  B. Menge EFFECT OF WAVE ACTION AND COMPETITION ON BROODING AND REPRODUCTIVE EFFORT IN THE SEASTAR, LEPTASTERIAS HEXACTIS' , 1974 .

[12]  Robert K. Colwell,et al.  PREDICTABILITY, CONSTANCY, AND CONTINGENCY OF PERIODIC PHENOMENA' , 1974 .

[13]  B. Menge,et al.  Species Diversity Gradients: Synthesis of the Roles of Predation, Competition, and Temporal Heterogeneity , 1976, The American Naturalist.

[14]  G. Pickup,et al.  Effects of hydrologic regime on magnitude and frequency of dominant discharge , 1976 .

[15]  L. B. Leopold,et al.  Water In Environmental Planning , 1978 .

[16]  J. Connell Diversity in tropical rain forests and coral reefs. , 1978, Science.

[17]  R. May,et al.  Stability and Complexity in Model Ecosystems , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[18]  Wayne P. Sousa,et al.  EXPERIMENTAL INVESTIGATIONS OF DISTURBANCE AND ECOLOGICAL SUCCESSION IN A ROCKY INTERTIDAL ALGAL COMMUNITY , 1979 .

[19]  M. Huston A General Hypothesis of Species Diversity , 1979, The American Naturalist.

[20]  W. Sousa Disturbance in Marine Intertidal Boulder Fields: The Nonequilibrium Maintenance of Species Diversity , 1979 .

[21]  N. Kottegoda,et al.  Stochastic water resources technology , 1980 .

[22]  M. Shaffer Minimum Population Sizes for Species Conservation , 1981 .

[23]  R. J. White,et al.  Competition Between Brook Trout (Salvelinus fontinalis) and Brown Trout (Salmo trutta) for Positions in a Michigan Stream , 1981 .

[24]  S. Stearns On Measuring Fluctuating Environments: Predictability, Constancy, and Contingency , 1981 .

[25]  Nancy B. Grimm,et al.  TEMPORAL SUCCESSION IN A DESERT STREAM ECOSYSTEM FOLLOWING FLASH FLOODING , 1982 .

[26]  G. Grossman,et al.  Stochasticity in Structural and Functional Characteristics of an Indiana Stream Fish Assemblage: A Test of Community Theory , 1982, The American Naturalist.

[27]  W. Porter,et al.  3. BIOPHYSICAL ANALYSES OF ENERGETICS, TIME-SPACE UTILIZATION, AND DISTRIBUTIONAL LIMITS , 1983 .

[28]  J. Connell,et al.  On the Evidence Needed to Judge Ecological Stability or Persistence , 1983, The American Naturalist.

[29]  W. Sousa The Role of Disturbance in Natural Communities , 1984 .

[30]  M. Freeman,et al.  Stochasticity and Assemblage Organization in an Indiana Stream Fish Assemblage , 1985, The American Naturalist.

[31]  John H. Steele,et al.  A comparison of terrestrial and marine ecological systems , 1985, Nature.

[32]  P. Moyle,et al.  Persistence and Structure of the Fish Assemblage in a Small California Stream , 1985 .

[33]  Charles J. Mode,et al.  A study of the impact of environmental stochasticity on extinction probabilities by Monte Carlo integration , 1987 .

[34]  B. Menge,et al.  Community Regulation: Variation in Disturbance, Competition, and Predation in Relation to Environmental Stress and Recruitment , 1987, The American Naturalist.

[35]  Charles J. Mode,et al.  On estimating critical population size for an endangered species in the presence of environmental stochasticity , 1987 .

[36]  Arthur V. Brown,et al.  The Role of Disturbance in Stream Ecology , 1988, Journal of the North American Benthological Society.

[37]  R. Shumway Applied Statistical Time Series Analysis , 1988 .

[38]  J. Webster,et al.  Patch Dynamics in Lotic Systems: The Stream as a Mosaic , 1988, Journal of the North American Benthological Society.

[39]  J. Gore,et al.  Hydraulic Stream Ecology: Observed Patterns and Potential Applications , 1988, Journal of the North American Benthological Society.

[40]  Stuart L. Pimm,et al.  The variability of population densities , 1988, Nature.

[41]  W. J. Matthews,et al.  Biotic and Abiotic Controls in River and Stream Communities , 1988, Journal of the North American Benthological Society.

[42]  S. Fisher,et al.  Stability of Periphyton and Macroinvertebrates to Disturbance by Flash Floods in a Desert Stream , 1989, Journal of the North American Benthological Society.

[43]  N. LeRoy Poff,et al.  Implications of Streamflow Variability and Predictability for Lotic Community Structure: A Regional Analysis of Streamflow Patterns , 1989 .

[44]  B. Menge,et al.  Community Structure and Interaction Webs in Shallow Marine Hard-Bottom Communities: Tests of an Environmental Stress Model , 1989 .

[45]  N. Poff,et al.  Physical habitat template of lotic systems: Recovery in the context of historical pattern of spatiotemporal heterogeneity , 1990 .

[46]  B. Peckarsky A field test of resource depression by predatory stonefly larvae , 1991 .

[47]  M. Sale,et al.  Distribution and Stability of Potential Salmonid Spawning Gravels in Steep Boulder-Bed Streams of the Eastern Sierra Nevada , 1991 .

[48]  P. Vitousek,et al.  Biological invasions by exotic grasses, the grass/fire cycle, and global change , 1992 .

[49]  B. Jenkins,et al.  Productivity, disturbance and food web structure at a local spatial scale in experimental container habitats , 1992 .

[50]  N. Poff Why Disturbances Can Be Predictable: A Perspective on the Definition of Disturbance in Streams , 1992, Journal of the North American Benthological Society.

[51]  Nancy B. Grimm,et al.  Stability of an Aquatic Macroinvertebrate Community in a Multiyear Hydrologic Disturbance Regime , 1992 .

[52]  Thomas P. Quinn,et al.  Pacific Salmon Life Histories , 1992 .

[53]  R. Lande Risks of Population Extinction from Demographic and Environmental Stochasticity and Random Catastrophes , 1993, The American Naturalist.

[54]  S. Adolph,et al.  Temperature, Activity, and Lizard Life Histories , 1993, The American Naturalist.

[55]  Denny,et al.  EXTREME DRAG FORCES AND THE SURVIVAL OF WIND- AND WATER-SWEPT ORGANISMS , 1994, The Journal of experimental biology.

[56]  E. Stanley,et al.  Invertebrate resistance and resilience to intermittency in a desert stream , 1994 .

[57]  T. Young Natural Die‐Offs of Large Mammals: Implications for Conservation , 1994 .

[58]  Joel E. Cohen,et al.  Unexpected dominance of high frequencies in chaotic nonlinear population models , 1995, Nature.

[59]  H. Caswell,et al.  Red, white and blue: environmental variance spectra and coexistence in metapopulations , 1995 .

[60]  M. Power,et al.  Effects of Disturbance on River Food Webs , 1996, Science.

[61]  S. Adolph,et al.  Growth, seasonality, and lizard life histories: age and size at maturity , 1996 .

[62]  D. Montgomery,et al.  Stream-bed scour, egg burial depths, and the influence of salmonid spawning on bed surface mobility and embryo survival , 1996 .

[63]  J. Halley Ecology, evolution and 1 f -noise. , 1996, Trends in ecology & evolution.

[64]  Per Lundberg,et al.  Noise colour and the risk of population extinctions , 1996, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[65]  Owen L. Petchey,et al.  Effects on population persistence: the interaction between environmental noise colour, intraspecific competition and space , 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[66]  Mike R. Scarsbrook,et al.  Quantifying Disturbance in Streams: Alternative Measures of Disturbance in Relation to Macroinvertebrate Species Traits and Species Richness , 1997, Journal of the North American Benthological Society.

[67]  Laurence C. Smith,et al.  Stream flow characterization and feature detection using a discrete wavelet transform , 1998 .

[68]  Gregory B. Pasternack,et al.  Does the river run wild? Assessing chaos in hydrological systems , 1999 .

[69]  P. Yodzis,et al.  Black noise and population persistence , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[70]  A. Jensen,et al.  The functional relationship between peak spring floods and survival and growth of juvenile Atlantic Salmon (Salmo salar) and Brown Trout (Salmo trutta) , 1999 .

[71]  Morales Viability in a pink environment: why “white noise” models can be dangerous , 1999 .

[72]  B. Helmuth Thermal biology of rocky intertidal mussels : Quantifying body temperatures using climatological data , 1999 .

[73]  David S. Stoffer,et al.  Time series analysis and its applications , 2000 .

[74]  M. Power,et al.  Flood disturbance, algal productivity, and interannual variation in food chain length , 2000 .

[75]  H. Storch,et al.  Statistical Analysis in Climate Research , 2000 .

[76]  G. Walsberg Small Mammals in Hot Deserts: Some Generalizations Revisited , 2000 .

[77]  D. Roff Life History, Evolution of , 2001 .

[78]  R. Hilborn,et al.  Catastrophic events and recovery from low densities in populations of otariids: implications for risk of extinction , 2001 .

[79]  R. Hodgkins Seasonal evolution of meltwater generation, storage and discharge at a non‐temperate glacier in Svalbard , 2001 .

[80]  D. Lytle,et al.  Disturbance Regimes and Life‐History Evolution , 2001, The American Naturalist.

[81]  S. Carpenter,et al.  Catastrophic shifts in ecosystems , 2001, Nature.

[82]  C. Harley,et al.  Climate Change and Latitudinal Patterns of Intertidal Thermal Stress , 2002, Science.

[83]  D. Post,et al.  The long and short of food-chain length , 2002 .

[84]  Jessica D. Lundquist,et al.  Seasonal and Spatial Patterns in Diurnal Cycles in Streamflow in the Western United States , 2002 .

[85]  O. Reichman,et al.  Physiology on a Landscape Scale: Plant-Animal Interactions1 , 2002, Integrative and comparative biology.

[86]  S. Ellner When does parameter drift decrease the uncertainty in extinction risk estimates , 2003 .

[87]  A. Ives,et al.  Food web dynamics in correlated and autocorrelated environments. , 2003, Theoretical population biology.

[88]  J. Olden,et al.  Redundancy and the choice of hydrologic indices for characterizing streamflow regimes , 2003 .

[89]  Joseph H. Connell,et al.  NATURAL DISTURBANCES AND DIRECTIONAL REPLACEMENT OF SPECIES , 2003 .

[90]  P. Inchausti,et al.  On the relation between temporal variability and persistence time in animal populations , 2003 .

[91]  J. Halley Parameter drift stabilizes long‐range extinction forecasts , 2003 .

[92]  M. Sharp,et al.  Wavelet analysis of inter‐annual variability in the runoff regimes of glacial and nival stream catchments, Bow Lake, Alberta , 2003 .

[93]  John Sabo,et al.  Morris, W. F., and D. F. Doak. 2003. Quantitative Conservation Biology: Theory and Practice of Population Viability Analysis. Sinauer Associates, Sunderland, Massachusetts, USA , 2003 .

[94]  R. Lande,et al.  Stochastic Population Dynamics in Ecology and Conservation , 2003 .

[95]  D. H. Reed,et al.  The frequency and severity of catastrophic die‐offs in vertebrates , 2003 .

[96]  D. Doak,et al.  Book Review: Quantitative Conservation biology: Theory and Practice of Population Viability analysis , 2004, Landscape Ecology.

[97]  Mark W. Denny,et al.  QUANTIFYING SCALE IN ECOLOGY: LESSONS FROM AWAVE-SWEPT SHORE , 2004 .

[98]  P. Yodzis,et al.  THE COLOR OF ENVIRONMENTAL NOISE , 2004 .

[99]  B. Peckarsky Mechanisms of intra-and interspecific interference between larval stoneflies , 1991, Oecologia.

[100]  D. Lytle,et al.  Adaptation to natural flow regimes. , 2004, Trends in ecology & evolution.

[101]  Elizabeth E. Holmes,et al.  Efficacy of simple viability models in ecological risk assessment: Does density dependence matter? , 2004 .

[102]  J. Schmidt,et al.  Application of wavelet analysis for monitoring the hydrologic effects of dam operation: Glen Canyon Dam and the Colorado River at Lees Ferry, Arizona , 2005 .

[103]  J. Sabo STOCHASTICITY, PREDATOR–PREY DYNAMICS, AND TRIGGER HARVEST OF NONNATIVE PREDATORS , 2005 .

[104]  E. Stanley,et al.  Effective discharge analysis of ecological processes in streams , 2005 .