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Various modified waterfall models (including Royce's final model), however, can include slight or major variations on this process. [8] These variations include returning to the previous cycle after flaws are found downstream, or returning to the design phase if downstream phases are deemed insufficient.
This causes the waterfall to carve deeper into the bed and to recede upstream. Often over time, the waterfall will recede back to form a canyon or gorge downstream as it recedes upstream, and it will carve deeper into the ridge above it. [16] The rate of retreat for a waterfall can be as high as one-and-a-half metres per year. [10]
The Bradshaw Model is an idealised geographical model which suggests how a river's characteristics vary between the upper course and lower course of a river. It indicates how discharge, occupied channel width, channel depth, and average load quantity increase downstream, [1] and other properties such as load particle size, channel bed roughness, and gradient as characteristics that decrease.
It can be derived by the fact that if the water is not accelerating and the river cross-section stays constant (generally good assumptions for an averaged reach of a stream over a modest distance), all of the potential energy lost as the water flows downstream must be used up in friction or work against the bed: none can be added to kinetic energy.
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According to Royce in the process model "the design iterations are never confined to the successive step", and for that model without iteration is "risky and invites failure". [3] As alternative Royce proposed a more incremental development, where every next step links back to the step before. The 'classical' waterfall model is figure 2.
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The last image we have of Patrick Cagey is of his first moments as a free man. He has just walked out of a 30-day drug treatment center in Georgetown, Kentucky, dressed in gym clothes and carrying a Nike duffel bag.