Is sea level rise accelerating?
http://www.skepticalscience.com/sea-lev ... ediate.htmFigure 4: The linear trends in sea level over 20-year periods, with one sigma error on the trend estimates shown by the dotted lines. From 1963 to 1991, there were a series of volcanic eruptions which caused cooling and hence contraction of the upper ocean. This temporarily slowed the rate of sea level rise.
From this figure we can see that has been an increasing rate of sea level rise meaning acceleration.
Sometimes it helps to put numbers on something to get an idea of what our future sea level will be. Out of the general equation that I am going to use there are several other variables to tease out.
http://en.wikipedia.org/wiki/Acceleration V = u + at
S = ut + ½ at*2
where
= displacement
= initial velocity
= final velocity
= uniform acceleration
T = time
James Hansen had the discussion of a possible 5 meter/century sea level rise rate. Scary number man. The only model I know of to approach understanding this is a wikipedia constant acceleration model. But it will give an overall picture of what could happen for certain scenarios the scientists are talking about.
What would the acceleration have to be for sea level rise of 5 meters by 2100
I am going to go back to 1870 and include that in the sea level rise by 2100. Sea level has risen 20 cm since about 1870 which is slightly under 8 inches. 5meters - .2 meters = 4.8 meters = 480 cm
S = ut +1/2(at*2)
S = 480cm sea level rise
U = initial velocity = .3cm/year
T = 88 years
A = ?
S = (.3cm/year)(88years) +.5 a(88*2) = 480cm
A =[[ 480cm - .3cm/year(88years)] x 2] / 88*2 = .117cm/year acceleration =
1.17mm/year*2 = 11.7mm/decade*2 acceleration average over the next 88 years.
3.28 feet/meter times 5meters = 16.4 feet
Final velocity at the end of the century.
V = U + AT
V = .3cm/year + .117cm/year*2(88years) = 10.596cm/year velocity =
4.17 inches/year = 41.7 in./decadeIf we were to get melt conditions similar to meltwater pulse 1a the sea level rise would have a huge velocity.
http://en.wikipedia.org/wiki/Meltwater_pulse_1AThis has happened in the past just before our present holocene.
Personally I don’t think this will reach this kind of acceleration within this century. Down the road, who knows.
Let’s take some low numbers such as Tim the Plumber has been giving us. Let’s go with 24inches sea level rise by 2100.
24inches x 2.54cm/in = 61 cm
61cm – 20cm = 41cm
S = ut +1/2(at*2)
A =(( S – UT) x 2)/T*2
A = ((41cm - .3cm/yr(88yr)) x 2)/ 88*2 = .00377cm/yr*2 =
.0377mm/yr*2To even get to two feet sea level requires acceleration of a little less than .1mm/year or 1mm/decade.
V = u + at
V = .3cm/yr + .00377cm/yr*2(88) = .632cm/yr =
2.5 inches /decadeIn order to reach 24 inches sea level rise since about 1870 we would have 2 times the velocity of today’s sea level rise of .3cm/yr. I believe that this will be a very low outcome of today’s carbon emissions. Interesting thing about this one is that IPCC was calling for 59cm while not modeling ice sheet melt and calving and therefore leaving it out completely. This strongly suggests to me that this is going to be low in reality. A lot of projections are higher than this in the 1 to 2 meter range.
1 meter sea level rise
A =(( S – UT) x 2)/T*2
S = 100cm – 20 cm = 80 cm
U = .3cm/yr
T = 88years
A = ((80cm - .3cm/yr x 88yr) x 2)/88*2 = .01382cm/yr*2 acceleration =
.1382mm/yr*2 = 1.3mm/decade*2We were just a little below this in the last two decades of the twentieth century.
V = u + at
V = .3cm/yr + .01382(88) = 1.52 cm/yr = 15.2cm/decade =
6 inches/decadeAll sea ports in the world will have to adjust to rising sea levels. What you will build for at the end of the century has to adapt to a higher sea level later.
2 meters sea level rise
A =(( S – UT) x 2)/T*2
S = 200cm – 20 cm = 180 cm
U = .3cm/yr
T = 88years
A = (180cm - .3cm/yr(88yr) x 2)/ 88*2 = .0397cm/yr*2 = .397mm/yr*2 =
3.97mm/decade*2V = u + at = .3cm/yr + .0397cm/yr*2(88) = 3.794cm/yr = 37.94cm./decade =
15.9inches/decade