What is an ecological phase shift?
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The term phase shift comes from the physical phenomena where a small change in a physical parameter causes a large-scale change in structure.\nA ecological phase shift is a small change causes a large scale change in the ecology\n\n\nYou may find the following article of interest.
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I guess I'm one of those people who notices changes in my own state - winters are NOT the same - but I am aware that our planet has undergone changes in the past. Are humans having an effect? I'm sure of it. But how much? And how much of the changes we're seeing are completely natural in the grand scheme of things? I'm not prepared to answer.
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About the same location give or take a few inches for continental shift.
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yes, it was used heavily in the late 1990s and Early 2000s when I was in corporate America- I'm not sure if its still popular or used extensively.\n\nA paradigm shift is when you change your perspective or have it changed for you.  Dr. Steven Covey (7 habits of highly effective people) describes a scene on a bus with a man and his ill behaved children.  they were running around making a bunch of noise and pretty much disrupting everyone that wanted to just ride in peace and quiet to their destination.  Everyone was getting really upset.  One passenger asked the man to get control of his children.  the man replied that the family had just come from the hospital where their mother had passed away just minutes ago.  Everyone on the bus went from being upset to feeling sympathy and understanding.  This was a paradigm shift.
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This makes little sense, but the answer is "No".\nNature doesn't make things that follow a set path. Living things explore all possible paths, and the environment limits which behaviors provide a Net Creativity for each species (in that environment). As things change, we need this lack of discipline to be able to adapt to new environments.\nLife is Chaotic because it lives in a chaotic universe.
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Migration- The process when one living thing moves from one place to another to avoid food shortages.\nEndangered- A living thing who is at risk of becoming extinct due to environmental or predatory changes.\nExtinct- A species whose last member has died.\nHabitat- The biome which a species lives in.\nHibernation- A period of regulated hyperthermia used to conserve energy during winter months.
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I found it on the web site. Scroll to the bottom of the page.\n\nhttp://scitec.uwichill.edu.bb/bcs/courses/Ecology/BL21C/ECOL2453_sc/Seasonal_communities.html
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A question I have wondered myself.\n\nThe best I can manage is this...\n\nI know that it is a thought experiment but it is actually impossible for the waves to be perfectly recombined as you suggest.\n\nFor example, if one of them passes through a partially reflective surface with the other undergoing its phase shift and then being sent back to reflect from the surface into the path then some of this energy will be transmitted through the partial reflector while some of the original ray will reflect off it.  These will then interfere constructively (there will be an additional phase shift).\n\nI think that there will always be this kind of loop-hole, no matter how you do it.\n\nIf you only do it approximately, so that the waves are very close to converging (with a phase shift) then you get an interference pattern that is pretty much zero along the central path (ie the first order solution is destructive to zero as expected) but with constructive interference elsewhere so that energy is conserved overall.\n\nI hope this is clear!
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For an equation of the form y = a cos (bx + c) + d:\n\na is the amplitude\n2 pi / b is the period\nc is the phase shift\nd is the vertical shift.\n\nTherefore, the amplitude is 2, the period is 2 pi / 3, and the vertical shift is +4.
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It's the point where dramatic change occurs... and yes, it is measurable depending on the thing itself. Like for example, if crime rates decreased dramatically "suddenly" then the reason for this would be the tipping point and measuring the previous and after rates is the evidence.
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the period is the amount of x before it repeats\n\ncos is periodic in 2pi and since nothing is multiplying or dividing x the period is 2pi\n\nphase shift is what is added or subtracted from x, so phase shift is -pi
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ecology is the study of living organisms interacting with their environment.\nyou can find out more about ecology here:http://highered.mcgraw-hill.com/sites/0072919345/student_view0/chapter46/chapter_outline.html\n\ngood luck.
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Check under Science and Mathematics.\n\nthere is an Environment category.
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The basic trend in nature for anything to move from a state of order to one of disorder (chaos) over time.  Think of dropping a glass of water.  It breaks into many pieces and goes flying everywhere.  Now if you picked up all of the pieces and dropped them, they would not reform into a complete glass.  This is an example of entropy.
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The exponential graph does not take into account that eventually a population will reach a point where it has fully exploited its resources.  It rises slowly at first, but then increasingly steeply, because as the population grows, there are more organisms reproducing. However, the rate of reproduction per organism is constant.  If the graph is drawn on semi-log paper, it will be a straight line.\n\nThe S-shaped curve considers that as a population fills its habitat, resources become scarce, and the population can only then grow slowly.   The initial portion is very similar to the exponential curve.\n \nAs the population fills its habitat, the rate of growth declines, until eventually, the population is stable at some maximum, called the carrying capacity.  This is called the stationary phase.\n\nIf populations grow quickly, they can exceed the carrying capacity, degrade the environment and experience swift decline.   After the population crashes, the environment can rebound.  \n\nThis is illustrated in some population of predators versus prey.  Where populations cycle between growth and decline.
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An interesting paper on the subject:\nhttp://www3.interscience.wiley.com/cgi-bin/abstract/108064559/ABSTRACT?CRETRY=1&SRETRY=0
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Just a guess here, but I suspect an attentive gardener or farmer would actually stop the succession of the environment.  Because they are looking ofr one particular plant in an area, they eliminate all the others that try to grow in the natural way (weeds, trees, grasses, etc.), leading to a cessation of succession.