Steps in Geomorphic Analysis and Prediction Observation Description Explanation Extrapolation aka Prediction • E.g. “What will be the response of the river to this restoration action?” • Specific e.g. “If I build these log jams at these locations, will it result in good salmon habitat?” GK Gilbert’s Method of Research Concentrated Observation Classification and Grouping of Facts Development of Multiple Hypotheses by Induction to Explain Observations • “there is indeed an advantage to entertaining several at once”, Gilbert, 1886 Hypothesis Testing (and Revising) An example from Gilbert Variable height of Bonneville shoreline Measured elevation at 2 locations • not the same Shoreline not horizontal Explanation? • Crustal undulation • Structural: Folding • Faulting More msmts • max displacement near lake center Isostatic rebound Lake Bonneville by GK Gilbert, 1890 Another take on multiple hypotheses “The studies of the geologist are peculiarly complex. It is rare that his problem is a simple unitary phenomenon explicable by a simple single cause. Even when it happens to be so in a given instance, or at a given stage of work, the subject is quite sure, if pursued broadly to grade into some complication or undergo some transition. If there any advantages in any field in being armed with a full panoply of working hypotheses and in habitually employing them, it is doubtless the field of the geologist” Chamberlin, 1897 Problem with Predictions Using modern (today) conditions as the basis for prediction • uniformitarianism “the present is the key to the past” Geikie, 1905 The assumption that natural laws are permanent, i.e.; under the same conditions a given cause will always produce the same results • this assumption is required to extrapolate from the present to the past, and to the future an approach to landform and landscape interpretation 10 Problems Associated with Using Modern Conditions as a Basis for Extrapolation 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Three classes of problems: Time: absolute duration and relative 1. Scale and place 2. Cause and effect Space: scale and size 3. System response Location Convergence (equifinality): production of similar results from different processes/causes Divergence: production of different results from similar processes/causes Efficiency: variable efficacy/work done by a process Multiplicity: multiple explanations Singularity: natural variability among like things Sensitivity: susceptibility to change Complexity: complex response to altered conditions Problems of scale and place: Time “A means of measuring change” Schumm Not enough of it (for data collection) • Records are short; life too short Short history • Short-term records less variable than long-term records Present physical systems (e.g. landforms, structures) are influenced by history Short time-span studies applied to long time span problems is tricky Examples • Colorado River compact • Floodplain formation Law of the River, 1922 Allocated 7.5M acre-feet To the upper and lower basins Hurst phenomenon: Persistence within a record Ie closely spaced events have a high degree of autocorrelation Vertical accretion: short time-scale Lateral migration: longer time-scale Has the frequency of small debris flows increased since 1870? Problems of scale and place: Space “Three dimensional field in which natural phenomena function and occur”, Schumm Complexity increases as resolution increases • Observations made at poor resolution may yield predictions of low accuracy difficult to extrapolate from small to large Problems of scale and place: Location “the site or place at which observations of natural system are made” Schumm Can we extrapolate from one location to another? Response to the same event could be different from one location to another: e.g deglaciation • E.g., (Knox, 1983) Eastern US: rivers respond to deglaciation by lateral shift • Western US: rivers respond to deglaciation by vertical change (erosion or deposition) Climate during glacial periods • Here: cooler/wetter • Other places: cooler/drier; cooler/no change in precip Problems of cause and effect: Convergence (Equifinality) “different processes and different causes produce similar effect” Schumm Different processes produce similar looking landforms E.g., terrace formation (channel incision) • Caused by Change in base level: sea level rise (marine terraces) Tectonics: faulting Climate change: change in sed supply/precip Causes: Fan deposition and coalescence Lateral stream planation Problems of cause and effect: Divergence “the opposite of convergence; similar causes and processes produce different effects” Schumm Effect of melting ice sheets on sea level • Generically, SL rises • Actually, results are variable isostatic uplift: raised shoreline submergence partial submergence submergence submergence/emergence Fluvial Divergence humid humid Problems of cause and effect: Efficiency “ratio of the work done to the energy expended” Schumm “More” energy expended doesn’t necessarily result in the most work done E.g., Flood effectiveness • Varies with preceding floods (event ordering) Effectiveness is greater if preceded by a large event rather than a small one Antecedent precipitation Effective Discharge: transports the most sediment Maximum sed yield not at max precipitation Supply-limited Transport-limited Problems of cause and effect: Multiplicity (many) “multiple causes acting simultaneously and in combination to produce a phenomenon” Schumm Single explanations are not sufficient in most cases Multiple explanations are needed • Ie multiple working hypotheses • Each variable provides partial explanation • Each variable deals with a different aspect of the phenomenon Examples • Hydraulic geometry • Discharge: Q=f(drainage area) w aQ b Problems of systems response: Singularity “the condition or characteristic that makes one thing different from others” Schumm Randomness or unexplained variation in a data set (Mann, 1970) Easier to make predictions for a pop’n of landforms but prediction for a single one is very difficult Problems of systems response: Sensitivity “propensity of a system to respond to a minor external change” Schumm The change occurs at a threshold If the system is near a threshold, it is sensitive Proximity to the threshold drives response Example, incipient motion Problems of systems response: Sensitivity External and internal thresholds: External e.g.: increase in external variable (slope below) Internal e.g.: long-term weathering to slope failure (Ennis L. dam) Schumm and Khan, 1973 Problems of systems response: Complexity Multiple responses to a perturbation Example of process linkage and complex response 1959 Hebgen Lake earthquake-induced landslide t0, x0 TIME SPACE Incision t1, x1 Deposition t1, x2 Incision t2, x2 Locke, 1998 Deposition t2, x3 Incision t3, x3 Deposition t3, x4 Problems of systems response: Complexity Can lead to unintended consequences • E.g., geo-engineering “if you can’t think of three things that can go wrong then you don’t understand the system” (Weinburg and Weinburg, 1979) Solutions What happened? • Assemble historical information and develop a history of past events that can help lead to prediction What controls it? • Develop an understanding of the processes that operate and determine the applicable physical and chemical relationships Where does it fit into the spectrum of this phenomenon? • Compare the results in space and determine the characteristics that exist at different locations “Always ask yourself important questions” - Luna Leopold